Abstract
P4 is a language for programming the data plane of network devices. This document provides a precise definition of the P416 language, which is the 2016 revision of the P4 language (http://p4.org). The target audience for this document includes developers who want to write compilers, simulators, IDEs, and debuggers for P4 programs. This document may also be of interest to P4 programmers who are interested in understanding the syntax and semantics of the language at a deeper level. The PDF version of this document can be downloaded from this link.

1. Scope

This specification document defines the structure and interpretation of programs in the P416 language. It defines the syntax, semantic rules, and requirements for conformant implementations of the language.

It does not define:

  • Mechanisms by which P4 programs are compiled, loaded, and executed on packet-processing systems,

  • Mechanisms by which data are received by one packet-processing system and delivered to another system,

  • Mechanisms by which the control plane manages the match-action tables and other stateful objects defined by P4 programs,

  • The size or complexity of P4 programs,

  • The minimal requirements of packet-processing systems that are capable of providing a conformant implementation.

It is understood that some implementations may be unable to implement the behavior defined here in all cases, or may provide options to eliminate some safety guarantees in exchange for better performance or handling larger programs. They should document where they deviate from this specification.

2. Terms, definitions, and symbols

Throughout this document, the following terms will be used:

  • Architecture: A set of P4-programmable components and the data plane interfaces between them.

  • Control plane: A class of algorithms and the corresponding input and output data that are concerned with the provisioning and configuration of the data plane.

  • Data plane: A class of algorithms that describe transformations on packets by packet-processing systems.

  • Metadata: Intermediate data generated during execution of a P4 program.

  • Packet: A network packet is a formatted unit of data carried by a packet-switched network.

  • Packet header: Formatted data at the beginning of a packet. A given packet may contain a sequence of packet headers representing different network protocols.

  • Packet payload: Packet data that follows the packet headers.

  • Packet-processing system: A data-processing system designed for processing network packets. In general, packet-processing systems implement control plane and data plane algorithms.

  • Target: A packet-processing system capable of executing a P4 program.

All terms defined explicitly in this document should not be understood to refer implicitly to similar terms defined elsewhere. Conversely, any terms not defined explicitly in this document should be interpreted according to generally recognizable sources—​e.g., IETF RFCs.

3. Overview

prgswitch
Figure 1. Traditional switches vs. programmable switches.

P4 is a language for expressing how packets are processed by the data plane of a programmable forwarding element such as a hardware or software switch, network interface card, router, or network appliance. The name P4 comes from the original paper that introduced the language, "Programming Protocol-independent Packet Processors," https://arxiv.org/pdf/1312.1719.pdf. While P4 was initially designed for programming switches, its scope has been broadened to cover a large variety of devices. In the rest of this document we use the generic term target for all such devices.

Many targets implement both a control plane and a data plane. P4 is designed to specify only the data plane functionality of the target. P4 programs also partially define the interface by which the control plane and the data-plane communicate, but P4 cannot be used to describe the control-plane functionality of the target. In the rest of this document, when we talk about P4 as "programming a target", we mean "programming the data plane of a target".

As a concrete example of a target, Figure 1 illustrates the difference between a traditional fixed-function switch and a P4-programmable switch. In a traditional switch the manufacturer defines the data-plane functionality. The control-plane controls the data plane by managing entries in tables (e.g. routing tables), configuring specialized objects (e.g. meters), and by processing control-packets (e.g. routing protocol packets) or asynchronous events, such as link state changes or learning notifications.

A P4-programmable switch differs from a traditional switch in two essential ways:

  • The data plane functionality is not fixed in advance but is defined by a P4 program. The data plane is configured at initialization time to implement the functionality described by the P4 program (shown by the long red arrow) and has no built-in knowledge of existing network protocols.

  • The control plane communicates with the data plane using the same channels as in a fixed-function device, but the set of tables and other objects in the data plane are no longer fixed, since they are defined by a P4 program. The P4 compiler generates the API that the control plane uses to communicate with the data plane.

Hence, P4 can be said to be protocol independent, but it enables programmers to express a rich set of protocols and other data plane behaviors.

p4prg
Figure 2. Programming a target with P4.

The core abstractions provided by the P4 language are:

  • Header types describe the format (the set of fields and their sizes) of each header within a packet.

  • Parsers describe the permitted sequences of headers within received packets, how to identify those header sequences, and the headers and fields to extract from packets.

  • Tables associate user-defined keys with actions. P4 tables generalize traditional switch tables; they can be used to implement routing tables, flow lookup tables, access-control lists, and other user-defined table types, including complex multi-variable decisions.

  • Actions are code fragments that describe how packet header fields and metadata are manipulated. Actions can include data, which is supplied by the control-plane at runtime.

  • Match-action units perform the following sequence of operations:

    • Construct lookup keys from packet fields or computed metadata,

    • Perform table lookup using the constructed key, choosing an action (including the associated data) to execute, and

    • Finally, execute the selected action.

  • Control flow expresses an imperative program that describes packet-processing on a target, including the data-dependent sequence of match-action unit invocations. Deparsing (packet reassembly) can also be performed using a control flow.

  • Extern objects are architecture-specific constructs that can be manipulated by P4 programs through well-defined APIs, but whose internal behavior is hard-wired (e.g., checksum units) and hence not programmable using P4.

  • User-defined metadata: user-defined data structures associated with each packet.

  • Intrinsic metadata: metadata provided by the architecture associated with each packet—​e.g., the input port where a packet has been received.

Figure 2 shows a typical tool workflow when programming a target using P4.

Target manufacturers provide the hardware or software implementation framework, an architecture definition, and a P4 compiler for that target. P4 programmers write programs for a specific architecture, which defines a set of P4-programmable components on the target as well as their external data plane interfaces.

Compiling a set of P4 programs produces two artifacts:

  • a data plane configuration that implements the forwarding logic described in the input program and

  • an API for managing the state of the data plane objects from the control plane

P4 is a domain-specific language that is designed to be implementable on a large variety of targets including programmable network interface cards, FPGAs, software switches, and hardware ASICs. As such, the language is restricted to constructs that can be efficiently implemented on all of these platforms.

Assuming a fixed cost for table lookup operations and interactions with extern objects, all P4 programs (i.e., parsers and controls) execute a constant number of operations for each byte of an input packet received and analyzed. Although parsers may contain loops, provided some header is extracted on each cycle, the packet itself provides a bound on the total execution of the parser. In other words, under these assumptions, the computational complexity of a P4 program is linear in the total size of all headers, and never depends on the size of the state accumulated while processing data (e.g., the number of flows, or the total number of packets processed). These guarantees are necessary (but not sufficient) for enabling fast packet processing across a variety of targets.

P4 conformance of a target is defined as follows: if a specific target T supports only a subset of the P4 programming language, say P4T, programs written in P4T executed on the target should provide the exact same behavior as is described in this document. Note that P4 conformant targets can provide arbitrary P4 language extensions and extern elements.

3.1. Benefits of P4

Compared to state-of-the-art packet-processing systems (e.g., based on writing microcode on top of custom hardware), P4 provides a number of significant advantages:

  • Flexibility: P4 makes many packet-forwarding policies expressible as programs, in contrast to traditional switches, which expose fixed-function forwarding engines to their users.

  • Expressiveness: P4 can express sophisticated, hardware-independent packet processing algorithms using solely general-purpose operations and table look-ups. Such programs are portable across hardware targets that implement the same architectures (assuming sufficient resources are available).

  • Resource mapping and management: P4 programs describe storage resources abstractly (e.g., IPv4 source address); compilers map such user-defined fields to available hardware resources and manage low-level details such as allocation and scheduling.

  • Software engineering: P4 programs provide important benefits such as type checking, information hiding, and software reuse.

  • Component libraries: Component libraries supplied by manufacturers can be used to wrap hardware-specific functions into portable high-level P4 constructs.

  • Decoupling hardware and software evolution: Target manufacturers may use abstract architectures to further decouple the evolution of low-level architectural details from high-level processing.

  • Debugging: Manufacturers can provide software models of an architecture to aid in the development and debugging of P4 programs.

3.2. P4 language evolution: comparison to previous versions (P4 v1.0/v1.1)

p4transition
Figure 3. Evolution of the language between versions P414 (versions 1.0 and 1.1) and P416.

Compared to P414, the earlier version of the language, P416 makes a number of significant, backwards-incompatible changes to the syntax and semantics of the language. The evolution from the previous version (P414) to the current one (P416) is depicted in Figure 3. In particular, a large number of language features have been eliminated from the language and moved into libraries including counters, checksum units, meters, etc.

Hence, the language has been transformed from a complex language (more than 70 keywords) into a relatively small core language (less than 40 keywords, shown in Appendix B) accompanied by a library of fundamental constructs that are needed for writing most P4.

The v1.1 version of P4 introduced a language construct called extern that can be used to describe library elements. Many constructs defined in the v1.1 language specification will thus be transformed into such library elements (including constructs that have been eliminated from the language, such as counters and meters). Some of these extern objects are expected to be standardized, and they will be in the scope of a future document describing a standard library of P4 elements. In this document we provide several examples of extern constructs. P416 also introduces and repurposes some v1.1 language constructs for describing the programmable parts of an architecture. These language constructs are: parser, state, control, and package.

One important goal of the P416 language revision is to provide a stable language definition. In other words, we strive to ensure that all programs written in P416 will remain syntactically correct and behave identically when treated as programs for future versions of the language. Moreover, if some future version of the language requires breaking backwards compatibility, we will seek to provide an easy path for migrating P416 programs to the new version.

4. Architecture Model

p4interface
Figure 4. P4 program interfaces.

The P4 architecture identifies the P4-programmable blocks (e.g., parser, ingress control flow, egress control flow, deparser, etc.) and their data plane interfaces.

The P4 architecture can be thought of as a contract between the program and the target. Each manufacturer must therefore provide both a P4 compiler as well as an accompanying architecture definition for their target. (We expect that P4 compilers can share a common front-end that handles all architectures). The architecture definition does not have to expose the entire programmable surface of the data plane—​a manufacturer may even choose to provide multiple definitions for the same hardware device, each with different capabilities (e.g., with or without multicast support).

Figure 4 illustrates the data plane interfaces between P4-programmable blocks. It shows a target that has two programmable blocks (#1 and #2). Each block is programmed through a separate fragment of P4 code. The target interfaces with the P4 program through a set of control registers or signals. Input controls provide information to P4 programs (e.g., the input port that a packet was received from), while output controls can be written to by P4 programs to influence the target behavior (e.g., the output port where a packet has to be directed). Control registers/signals are represented in P4 as intrinsic metadata. P4 programs can also store and manipulate data pertaining to each packet as user-defined metadata.

The behavior of a P4 program can be fully described in terms of transformations that map vectors of bits to vectors of bits. To actually process a packet, the architecture model interprets the bits that the P4 program writes to intrinsic metadata. For example, to cause a packet to be forwarded on a specific output port, a P4 program may need to write the index of an output port into a dedicated control register. Similarly, to cause a packet to be dropped, a P4 program may need to set a "drop" bit into another dedicated control register. Note that the details of how intrinsic metadata are interpreted is architecture-specific.

p4checksum
Figure 5. P4 program invoking the services of a fixed-function object.

P4 programs can invoke services implemented by extern objects and functions provided by the architecture. Figure 5 depicts a P4 program invoking the services of a built-in checksum computation unit on a target. The implementation of the checksum unit is not specified in P4, but its interface is. In general, the interface for an extern object describes each operation it provides, as well as their parameter and return types.

In general, P4 programs are not expected to be portable across different architectures. For example, executing a P4 program that broadcasts packets by writing into a custom control register will not function correctly on a target that does not have the control register. However, P4 programs written for a given architecture should be portable across all targets that faithfully implement the corresponding model, provided there are sufficient resources.

4.1. Standard architectures

We expect that the P4 community will evolve a small set of standard architecture models pertaining to specific verticals. Wide adoption of such standard architectures will promote portability of P4 programs across different targets. However, defining these standard architectures is outside of the scope of this document.

4.2. Data plane interfaces

To describe a functional block that can be programmed in P4, the architecture includes a type declaration that specifies the interfaces between the block and the other components in the architecture. For example, the architecture might contain a declaration such as the following:

control MatchActionPipe<H>(in bit<4> inputPort,
                           inout H parsedHeaders,
                           out bit<4> outputPort);

This type declaration describes a block named MatchActionPipe that can be programmed using a data-dependent sequence of match-action unit invocations and other imperative constructs (indicated by the control keyword). The interface between the MatchActionPipe block and the other components of the architecture can be read off from this declaration:

  • The first parameter is a 4-bit value named inputPort. The direction in indicates that this parameter is an input that cannot be modified.

  • The second parameter is an object of type H named parsedHeaders, where H is a type variable representing the headers that will be defined later by the P4 programmer. The direction inout indicates that this parameter is both an input and an output.

  • The third parameter is a 4-bit value named outputPort. The direction out indicates that this parameter is an output whose value is undefined initially but can be modified.

4.3. Extern objects and functions

P4 programs can also interact with objects and functions provided by the architecture. Such objects are described using the extern construct, which describes the interfaces that such objects expose to the data-plane.

An extern object describes a set of methods that are implemented by an object, but not the implementation of these methods (i.e., it is similar to an abstract class in an object-oriented language). For example, the following construct could be used to describe the operations offered by an incremental checksum unit:

extern Checksum16 {
    Checksum16();              // constructor
    void clear();              // prepare unit for computation
    void update<T>(in T data); // add data to checksum
    void remove<T>(in T data); // remove data from existing checksum
    bit<16> get(); // get the checksum for the data added since last clear
}

5. Example: A very simple switch

As an example to illustrate the features of architectures, consider implementing a very simple switch in P4. We will first describe the architecture of the switch and then write a complete P4 program that specifies the data plane behavior of the switch. This example demonstrates many important features of the P4 programming language.

vssarch
Figure 6. The Very Simple Switch (VSS) architecture.

We call our architecture the "Very Simple Switch" (VSS). Figure 6 is a diagram of this architecture. There is nothing inherently special about VSS—​it is just a pedagogical example that illustrates how programmable switches can be described and programmed in P4. VSS has a number of fixed-function blocks (shown in cyan in our example), whose behavior is described in Section 5.2. The white blocks are programmable using P4.

VSS receives packets through one of 8 input Ethernet ports, through a recirculation channel, or from a port connected directly to the CPU. VSS has one single parser, feeding into a single match-action pipeline, which feeds into a single deparser. After exiting the deparser, packets are emitted through one of 8 output Ethernet ports or one of 3 "special" ports:

  • Packets sent to the "CPU port" are sent to the control plane

  • Packets sent to the "Drop port" are discarded

  • Packets sent to the "Recirculate port" are re-injected in the switch through a special input port

The white blocks in the figure are programmable, and the user must provide a corresponding P4 program to specify the behavior of each such block. The red arrows indicate the flow of user-defined data. The cyan blocks are fixed-function components. The green arrows are data plane interfaces used to convey information between the fixed-function blocks and the programmable blocks—​exposed in the P4 program as intrinsic metadata.

5.1. Very Simple Switch Architecture

The following P4 program provides a declaration of VSS in P4, as it would be provided by the VSS manufacturer. The declaration contains several type declarations, constants, and finally declarations for the three programmable blocks; the code uses syntax highlighting. The programmable blocks are described by their types; the implementation of these blocks has to be provided by the switch programmer.

// File "very_simple_switch_model.p4"
// Very Simple Switch P4 declaration
// core library needed for packet_in and packet_out definitions
# include <core.p4>
/* Various constants and structure declarations */
/* ports are represented using 4-bit values */
typedef bit<4> PortId;
/* only 8 ports are "real" */
const PortId REAL_PORT_COUNT = 4w8;  // 4w8 is the number 8 in 4 bits
/* metadata accompanying an input packet */
struct InControl {
    PortId inputPort;
}
/* special input port values */
const PortId RECIRCULATE_IN_PORT = 0xD;
const PortId CPU_IN_PORT = 0xE;
/* metadata that must be computed for outgoing packets */
struct OutControl {
    PortId outputPort;
}
/* special output port values for outgoing packet */
const PortId DROP_PORT = 0xF;
const PortId CPU_OUT_PORT = 0xE;
const PortId RECIRCULATE_OUT_PORT = 0xD;
/* Prototypes for all programmable blocks */
/**
 * Programmable parser.
 * @param <H> type of headers; defined by user
 * @param b input packet
 * @param parsedHeaders headers constructed by parser
 */
parser Parser<H>(packet_in b,
                 out H parsedHeaders);
/**
 * Match-action pipeline
 * @param <H> type of input and output headers
 * @param headers headers received from the parser and sent to the deparser
 * @param parseError error that may have surfaced during parsing
 * @param inCtrl information from architecture, accompanying input packet
 * @param outCtrl information for architecture, accompanying output packet
 */
control Pipe<H>(inout H headers,
                in error parseError,// parser error
                in InControl inCtrl,// input port
                out OutControl outCtrl); // output port
/**
 * VSS deparser.
 * @param <H> type of headers; defined by user
 * @param b output packet
 * @param outputHeaders headers for output packet
 */
control Deparser<H>(inout H outputHeaders,
                    packet_out b);
/**
 * Top-level package declaration - must be instantiated by user.
 * The arguments to the package indicate blocks that
 * must be instantiated by the user.
 * @param <H> user-defined type of the headers processed.
 */
package VSS<H>(Parser<H> p,
               Pipe<H> map,
               Deparser<H> d);
// Architecture-specific objects that can be instantiated
// Checksum unit
extern Checksum16 {
    Checksum16();              // constructor
    void clear();              // prepare unit for computation
    void update<T>(in T data); // add data to checksum
    void remove<T>(in T data); // remove data from existing checksum
    bit<16> get(); // get the checksum for the data added since last clear
}

Let us describe some of these elements:

  • The included file core.p4 is described in more detail in Appendix D. It defines some standard data-types and error codes.

  • bit<4> is the type of bit-strings with 4 bits.

  • The syntax 4w0xF indicates the value 15 represented using 4 bits. An alternative notation is 4w15. In many circumstances the width modifier can be omitted, writing just 15.

  • error is a built-in P4 type for holding error codes

  • Next follows the declaration of a parser:

    parser Parser<H>(packet_in b, out H parsedHeaders);

    This declaration describes the interface for a parser, but not yet its implementation, which will be provided by the programmer. The parser reads its input from a packet_in, which is a pre-defined P4 extern object that represents an incoming packet, declared in the core.p4 library. The parser writes its output (the out keyword) into the parsedHeaders argument. The type of this argument is H, yet unknown—​it will also be provided by the programmer.

  • The declaration

    control Pipe<H>(inout H headers,
                    in error parseError,
                    in InControl inCtrl,
                    out OutControl outCtrl);

    describes the interface of a Match-Action pipeline named Pipe.

The pipeline receives three inputs: the headers headers, a parser error parseError, and the inCtrl control data. Figure 6 indicates the different sources of these pieces of information. The pipeline writes its outputs into outCtrl, and it must update in place the headers to be consumed by the deparser.

  • The top-level package is called VSS; in order to program a VSS, the user will have to instantiate a package of this type (shown in the next section). The top-level package declaration also depends on a type variable H:

    package VSS<H>

A type variable indicates a type yet unknown that must be provided by the user at a later time. In this case H is the type of the set of headers that the user program will be processing; the parser will produce the parsed representation of these headers, and the match-action pipeline will update the input headers in place to produce the output headers.

  • The package VSS declaration has three complex parameters, of types Parser, Pipe, and Deparser respectively; which are exactly the declarations we have just described. In order to program the target one has to supply values for these parameters.

  • In this program the inCtrl and outCtrl structures represent control registers. The content of the headers structure is stored in general-purpose registers.

  • The extern Checksum16 declaration describes an extern object whose services can be invoked to compute checksums.

5.2. Very Simple Switch Architecture Description

In order to fully understand VSS’s behavior and write meaningful P4 programs for it, and for implementing a control plane, we also need a full behavioral description of the fixed-function blocks. This section can be seen as a simple example illustrating all the details that have to be handled when writing an architecture description. The P4 language is not intended to cover the description of all such functional blocks—​the language can only describe the interfaces between programmable blocks and the architecture. For the current program, this interface is given by the Parser, Pipe, and Deparser declarations. In practice we expect that the complete description of the architecture will be provided as an executable program and/or diagrams and text; in this document we will provide informal descriptions in English.

5.2.1. Arbiter block

The input arbiter block performs the following functions:

  • It receives packets from one of the physical input Ethernet ports, from the control plane, or from the input recirculation port.

  • For packets received from Ethernet ports, the block computes the Ethernet trailer checksum and verifies it. If the checksum does not match, the packet is discarded. If the checksum does match, it is removed from the packet payload.

  • Receiving a packet involves running an arbitration algorithm if multiple packets are available.

  • If the arbiter block is busy processing a previous packet and no queue space is available, input ports may drop arriving packets, without indicating the fact that the packets were dropped in any way.

  • After receiving a packet, the arbiter block sets the inCtrl.inputPort value that is an input to the match-action pipeline with the identity of the input port where the packet originated. Physical Ethernet ports are numbered 0 to 7, while the input recirculation port has a number 13 and the CPU port has the number 14.

5.2.2. Parser runtime block

The parser runtime block works in concert with the parser. It provides an error code to the match-action pipeline, based on the parser actions, and it provides information about the packet payload (e.g., the size of the remaining payload data) to the demux block. As soon as a packet’s processing is completed by the parser, the match-action pipeline is invoked with the associated metadata as inputs (packet headers and user-defined metadata).

5.2.3. Demux block

The core functionality of the demux block is to receive the headers for the outgoing packet from the deparser and the packet payload from the parser, to assemble them into a new packet and to send the result to the correct output port. The output port is specified by the value of outCtrl.ouputPort, which is set by the match-action pipeline.

  • Sending the packet to the drop port causes the packet to disappear.

  • Sending the packet to an output Ethernet port numbered between 0 and 7 causes it to be emitted on the corresponding physical interface. The packet may be placed in a queue if the output interface is already busy emitting another packet. When the packet is emitted, the physical interface computes a correct Ethernet checksum trailer and appends it to the packet.

  • Sending a packet to the output CPU port causes the packet to be transferred to the control plane. In this case, the packet that is sent to the CPU is the original input packet, and not the packet received from the deparser—​the latter packet is discarded.

  • Sending the packet to the output recirculation port causes it to appear at the input recirculation port. Recirculation is useful when packet processing cannot be completed in a single pass.

  • If the outputPort has an illegal value (e.g., 9), the packet is dropped.

  • Finally, if the demux unit is busy processing a previous packet and there is no capacity to queue the packet coming from the deparser, the demux unit may drop the packet, irrespective of the output port indicated.

Please note that some of the behaviors of the demux block may be unexpected—​we have highlighted them in bold. We are not specifying here several important behaviors related to queue size, arbitration, and timing, which also influence the packet processing.

The arrow shown from the parser runtime to the demux block represents an additional information flow from the parser to the demux: the packet being processed as well as the offset within the packet where parsing ended (i.e., the start of the packet payload).

5.2.4. Available extern blocks

The VSS architecture provides an incremental checksum extern block, called Checksum16. The checksum unit has a constructor and four methods:

  • clear(): prepares the unit for a new computation

  • update<T>(in T data): add some data to be checksummed. The data must be either a bit-string, a header-typed value, or a struct containing such values. The fields in the header/struct are concatenated in the order they appear in the type declaration.

  • get(): returns the 16-bit one’s complement checksum. When this function is invoked the checksum must have received an integral number of bytes of data.

  • remove<T>(in T data): assuming that data was used for computing the current checksum, data is removed from the checksum.

5.3. A complete Very Simple Switch program

Here we provide a complete P4 program that implements basic forwarding for IPv4 packets on the VSS architecture. This program does not utilize all of the features provided by the architecture—​e.g., recirculation—​but it does use preprocessor #include directives (see [sec-preprocessor]).

vssmau
Figure 7. Diagram of the match-action pipeline expressed by the VSS P4 program.

The parser attempts to recognize an Ethernet header followed by an IPv4 header. If either of these headers are missing, parsing terminates with an error. Otherwise it extracts the information from these headers into a Parsed_packet structure. The match-action pipeline is shown in Figure 7; it comprises four match-action units (represented by the P4 table keyword):

  • If any parser error has occurred, the packet is dropped (i.e., by assigning

  • outputPort to DROP_PORT)

  • The first table uses the IPv4 destination address to determine the

  • outputPort and the IPv4 address of the next hop. If this lookup fails, the packet is dropped. The table also decrements the IPv4 ttl value.

  • The second table checks the ttl value: if the ttl becomes 0, the packet is sent to the control plane through the CPU port.

  • The third table uses the IPv4 address of the next hop (which was computed by the first table) to determine the Ethernet address of the next hop.

  • Finally, the last table uses the outputPort to identify the source Ethernet address of the current switch, which is set in the outgoing packet.

The deparser constructs the outgoing packet by reassembling the Ethernet and IPv4 headers as computed by the pipeline.

// Include P4 core library
# include <core.p4>

// Include very simple switch architecture declarations
# include "very_simple_switch_model.p4"

// This program processes packets comprising an Ethernet and an IPv4
// header, and it forwards packets using the destination IP address

typedef bit<48>  EthernetAddress;
typedef bit<32>  IPv4Address;

// Standard Ethernet header
header Ethernet_h {
    EthernetAddress dstAddr;
    EthernetAddress srcAddr;
    bit<16>         etherType;
}

// IPv4 header (without options)
header IPv4_h {
    bit<4>       version;
    bit<4>       ihl;
    bit<8>       diffserv;
    bit<16>      totalLen;
    bit<16>      identification;
    bit<3>       flags;
    bit<13>      fragOffset;
    bit<8>       ttl;
    bit<8>       protocol;
    bit<16>      hdrChecksum;
    IPv4Address  srcAddr;
    IPv4Address  dstAddr;
}

// Structure of parsed headers
struct Parsed_packet {
    Ethernet_h ethernet;
    IPv4_h     ip;
}

// Parser section

// User-defined errors that may be signaled during parsing
error {
    IPv4OptionsNotSupported,
    IPv4IncorrectVersion,
    IPv4ChecksumError
}

parser TopParser(packet_in b, out Parsed_packet p) {
    Checksum16() ck;  // instantiate checksum unit

    state start {
        b.extract(p.ethernet);
        transition select(p.ethernet.etherType) {
            0x0800: parse_ipv4;
            // no default rule: all other packets rejected
        }
    }

    state parse_ipv4 {
        b.extract(p.ip);
        verify(p.ip.version == 4w4, error.IPv4IncorrectVersion);
        verify(p.ip.ihl == 4w5, error.IPv4OptionsNotSupported);
        ck.clear();
        ck.update(p.ip);
        // Verify that packet checksum is zero
        verify(ck.get() == 16w0, error.IPv4ChecksumError);
        transition accept;
    }
}

// Match-action pipeline section

control TopPipe(inout Parsed_packet headers,
                in error parseError, // parser error
                in InControl inCtrl, // input port
                out OutControl outCtrl) {
     IPv4Address nextHop;  // local variable

     /**
      * Indicates that a packet is dropped by setting the
      * output port to the DROP_PORT
      */
      action Drop_action() {
          outCtrl.outputPort = DROP_PORT;
      }

     /**
      * Set the next hop and the output port.
      * Decrements ipv4 ttl field.
      * @param ipv4_dest ipv4 address of next hop
      * @param port output port
      */
      action Set_nhop(IPv4Address ipv4_dest, PortId port) {
          nextHop = ipv4_dest;
          headers.ip.ttl = headers.ip.ttl - 1;
          outCtrl.outputPort = port;
      }

     /**
      * Computes address of next IPv4 hop and output port
      * based on the IPv4 destination of the current packet.
      * Decrements packet IPv4 TTL.
      * @param nextHop IPv4 address of next hop
      */
     table ipv4_match {
         key = { headers.ip.dstAddr: lpm; }  // longest-prefix match
         actions = {
              Drop_action;
              Set_nhop;
         }
         size = 1024;
         default_action = Drop_action;
     }

     /**
      * Send the packet to the CPU port
      */
      action Send_to_cpu() {
          outCtrl.outputPort = CPU_OUT_PORT;
      }

     /**
      * Check packet TTL and send to CPU if expired.
      */
     table check_ttl {
         key = { headers.ip.ttl: exact; }
         actions = { Send_to_cpu; NoAction; }
         const default_action = NoAction; // defined in core.p4
     }

     /**
      * Set the destination MAC address of the packet
      * @param dmac destination MAC address.
      */
      action Set_dmac(EthernetAddress dmac) {
          headers.ethernet.dstAddr = dmac;
      }

     /**
      * Set the destination Ethernet address of the packet
      * based on the next hop IP address.
      * @param nextHop IPv4 address of next hop.
      */
      table dmac {
          key = { nextHop: exact; }
          actions = {
               Drop_action;
               Set_dmac;
          }
          size = 1024;
          default_action = Drop_action;
      }

      /**
       * Set the source MAC address.
       * @param smac: source MAC address to use
       */
       action Set_smac(EthernetAddress smac) {
           headers.ethernet.srcAddr = smac;
       }

      /**
       * Set the source mac address based on the output port.
       */
      table smac {
           key = { outCtrl.outputPort: exact; }
           actions = {
                Drop_action;
                Set_smac;
          }
          size = 16;
          default_action = Drop_action;
      }

      apply {
          if (parseError != error.NoError) {
              Drop_action();  // invoke drop directly
              return;
          }

          ipv4_match.apply(); // Match result will go into nextHop
          if (outCtrl.outputPort == DROP_PORT) return;

          check_ttl.apply();
          if (outCtrl.outputPort == CPU_OUT_PORT) return;

          dmac.apply();
          if (outCtrl.outputPort == DROP_PORT) return;

          smac.apply();
    }
}

// deparser section
control TopDeparser(inout Parsed_packet p, packet_out b) {
    Checksum16() ck;
    apply {
        b.emit(p.ethernet);
        if (p.ip.isValid()) {
            ck.clear();              // prepare checksum unit
            p.ip.hdrChecksum = 16w0; // clear checksum
            ck.update(p.ip);         // compute new checksum.
            p.ip.hdrChecksum = ck.get();
        }
        b.emit(p.ip);
    }
}

// Instantiate the top-level VSS package
VSS(TopParser(),
    TopPipe(),
    TopDeparser()) main;

6. P4 language definition

This section provides a high-level overview of the P4 programming language, focusing on its syntax, semantics, lexical constructs, scoping rules, calling conventions, and naming conventions.

Chapter 7 introduces the P4 abstract machine, which serves as the model for describing the behavior of P4 programs. Chapter 8 through Chapter 16 define the P4 syntax and semantics in detail.

6.1. Syntax and semantics

6.1.1. Grammar

The complete grammar of P416 is given in Appendix E, using Yacc/Bison grammar description language. This text is based on the same grammar. We adopt several standard conventions when we provide excerpts from the grammar:

  • UPPERCASE symbols denote terminals in the grammar.

  • Excerpts from the grammar are given in BNF notation as follows:

p4program
   : /* empty */
   | p4program declaration
   | p4program ;
   ;

6.1.2. Semantics and the P4 abstract machines

We describe the semantics of P4 in terms of abstract machines executing traditional imperative code.

P4 compilers are free to reorganize the code they generate in any way as long as the externally visible behaviors of the P4 programs are preserved as described by this specification where externally visible behavior is defined as:

  • The input/output behavior of all P4 blocks, and

  • The state maintained by extern blocks.

Throughout this specification, the P4 semantics is described using a combination of:

  • P4 code snippets

  • Pseudo-code snippets

  • Prose algorithms

  • Formal inference rules

6.1.2.1. Pseudo-code snippets

Pseudo-code (mostly used for describing the semantics of various P4 constructs) are shown with fixed-size fonts as in the following example:

ParserModel.verify(bool condition, error err) {
    if (condition == false) {
        ParserModel.parserError = err;
        goto reject;
    }
}
6.1.2.2. Prose algorithms

The semantics of P4 constructs are also described using prose algorithms. For example, below is the signature of an algorithm used to describe type checking of P4 expressions.

Detailed discussion of what cursor, typingContext, and typedExpressionIR mean is given in Section 7.2. For now, it suffices to know that Expr_ok takes an expression, a cursor, and a typingContext as inputs and results in a typedExpressionIR.

An algorithm is defined in terms of case-analysis, where each case corresponds to a variant of a P4 construct. For example, the following algorithm defines how to type check logical not expressions.

The shorthand ! in step 2 is explained in Section 6.1.2.2.1 and $compat_lnot is a helper function used to check compatibility of the operand with logical not expressions. And the following algorithm defines type checking of bitwise negation expressions.

And so on for other variants of P4 expressions. These prose algorithms are presented throughout this specification.

6.1.2.2.1. Prose algorithm shorthands

To make the prose algorithms concise, we often use the shorthand !. Some algorithms result in an optional result to indicate possible failure. The following example algorithm computes modulo of two natural numbers (including zero).

  1. If nb is not equal to 0:

    1. Return na \ nb.

  2. If nb is equal to 0:

    1. Return ·.

Because the divisor may be zero, the result is optional. Now consider the case when the algorithm is called.

  1. Let nresult be ! n mod 42.

  2. Return nresult.

Here, ! indicates unwrapping of the optional result. This shortened form is equivalent to first getting the optional result, checking that it is not None, and then unwrapping it.

6.1.2.3. Formal inference rules

Alongside prose algorithms, we also present formal inference rules. In fact, the prose algorithms are automatically generated from the formal inference rules. Although the prose algorithms are enough to understand the P4 semantics, the formal inference rules are included to aid comprehension.

For example, the following formal inference rule defines type checking of logical not expressions.

Click to view the specification source
rulegroup Expr_ok/unaryExpression-lnot:
  rule Expr_ok/unaryExpression-lnot:
  p TC |- ! expression : (! typedExpressionIR_reduced) # expressionNoteIR
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if typedExpressionIR_reduced = $reduce_serenum_unary(typedExpressionIR, $compat_lnot)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_reduced)
 -- if ctk_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)

It is defined using mathematical notations such as turnstile (|-). The lines leading with -- are called premises.

6.2. Lexical constructs

All P4 keywords use only ASCII characters. All P4 identifiers must use only ASCII characters. P4 compilers should handle correctly strings containing 8-bit characters in comments and string literals. P4 is case-sensitive. Whitespace characters, including newlines are treated as token separators. Indentation is free-form; however, P4 has C-like block constructs, and all our examples use C-style indentation. Tab characters are treated as spaces.

The lexer recognizes the following kinds of terminals:

  • IDENTIFIER: start with a letter or underscore, and contain letters, digits and underscores

  • TYPE_IDENTIFIER: identifier that denotes a type name

  • INTEGER: integer literals

  • DONTCARE: a single underscore

  • Keywords such as RETURN. By convention, each keyword terminal corresponds to a language keyword with the same spelling but using lowercase. For example, the RETURN terminal corresponds to the return keyword.

6.2.1. Identifiers

P4 identifiers may contain only letters, numbers, and the underscore character _, and must start with a letter or underscore. The special identifier consisting of a single underscore _ is reserved to indicate a "don’t care" value; its type may vary depending on the context. Certain keywords (e.g., apply) can be used as identifiers if the context makes it unambiguous.

identifier
   : `ID text
   ;

nonTypeName
   : identifier
   | APPLY
   | KEY
   | ACTIONS
   | STATE
   | ENTRIES
   | TYPE
   | PRIORITY
   ;

typeIdentifier
   : `TID text
   ;

typeName = typeIdentifier

name
   : nonTypeName
   | typeName
   | LIST
   ;

6.2.2. Literal constants

6.2.2.1. Boolean literals
booleanLiteral
   : TRUE
   | FALSE
   ;

There are two Boolean literal constants: true and false.

6.2.2.2. Integer literals
integerLiteral
   : D int
   | nat W int
   | nat S int
   ;

Integer literals are non-negative arbitrary-precision integers. By default, literals are represented in base 10. The following prefixes must be employed to specify the base explicitly:

  • 0x or 0X indicates base 16 (hexadecimal)

  • 0o or 0O indicates base 8 (octal)

  • 0d or 0D indicates base 10 (decimal)

  • 0b or 0B indicates base 2

The width of a numeric literal in bits can be specified by an unsigned number prefix consisting of a number of bits and a signedness indicator:

  • w indicates unsigned numbers

  • s indicates signed numbers

Note that a leading zero by itself does not indicate an octal (base 8) constant. The underscore character is considered a digit within number literals but is ignored when computing the value of the parsed number. This allows long constant numbers to be more easily read by grouping digits together. The underscore cannot be used in the width specification or as the first character of an integer literal. No comments or whitespaces are allowed within a literal. Here are some examples of numeric literals:

32w255         // a 32-bit unsigned number with value 255
32w0d255       // same value as above
32w0xFF        // same value as above
32s0xFF        // a 32-bit signed number with value 255
8w0b10101010   // an 8-bit unsigned number with value 0xAA
8w0b_1010_1010 // same value as above
8w170          // same value as above
8s0b1010_1010  // an 8-bit signed number with value -86
16w0377        // 16-bit unsigned number with value 377 (not 255!)
16w0o377       // 16-bit unsigned number with value 255 (base 8)
6.2.2.3. String literals
stringLiteral
   : " text "
   ;

String literals are specified as an arbitrary sequence of 8-bit characters, enclosed within double quote characters " (ASCII code 34). Strings start with a double quote character and extend to the first double quote sign which is not immediately preceded by an odd number of backslash characters (ASCII code 92). P4 does not make any validity checks on strings (i.e., it does not check that strings represent legal UTF-8 encodings).

Since P4 does not allow strings to exist at runtime, string literals are generally passed unchanged through the P4 compiler to other third-party tools or compiler-backends. The compiler can, however, perform compile-time concatenation (constant-folding) of concatenation expressions into single literal. When such concatenation is performed, the binary representation of the string literals (excluding the quotes) is concatenated in the order they appear in the source code. There are no escape sequences that would be treated specially when strings are concatenated.

The backends and other tools can define their own handling of escape sequences (e.g., how to specify Unicode characters, or handle unprintable ASCII characters).

Here are 3 examples of string literals:

"simple string"
"string \" with \" embedded \" quotes"
"string with embedded
line terminator"

Here is an example of concatenation expression and an equivalent string literal:

"one string \" with a quote inside;" ++ (" " ++ "another string")
// can be constant folded to
"one string \" with a quote inside; another string"

6.2.3. Comments

P4 supports several kinds of comments:

  • Single-line comments, introduced by // and spanning to the end of line,

  • Multi-line comments, enclosed between /* and */

  • Nested multi-line comments are not supported.

  • Javadoc-style comments, starting with /** and ending with */

Use of Javadoc-style comments is strongly encouraged for the tables and actions that are used to synthesize the interface with the control-plane.

P4 treats comments as token separators and no comments are allowed within a token---e.g. bi/**/t is parsed as two tokens, bi and t, and not as a single token bit.

6.2.4. Optional trailing commas

The P4 grammar allows several kinds of comma-separated lists to end in an optional comma.

trailingCommaOpt
   : /* empty */
   | ,
   ;

For example, the following declarations are both legal, and have the same meaning:

enum E {
     a, b, c
}

enum E {
     a, b, c,
}

This is particularly useful in combination with preprocessor directives:

enum E {
#if SUPPORT_A
    a,
#endif
    b,
    c,
}

6.3. Scoping

Scopes are used to organize P4 programs into nested namespaces. There are three kinds of scopes in P4, from outermost to innermost: the top-level scope (global namespace), the scope within a parser, control, or extern declaration (block namespace), and the scope within a block statement (local namespace). Local namespaces can be nested within other local namespaces.

// top-level (global) scope
const bit<8> GLOBAL = 255;

control c() {
  // block scope within a control
  bit<8> block = GLOBAL;

  apply {
    // local scope
    bit<8> local = block;
  }
}

bit<8> f() {
  // local scope
  bit<8> local = GLOBAL;
  {
    // nested local scope
    bit<8> local_nested = local;
  }
  return local;
}

Cursors are used to track scopes while defining the semantic rules of P4.

cursor
   : GLOBAL
   | BLOCK
   | LOCAL
   ;

6.3.1. Name resolution

P4 namespaces are organized in a hierarchical fashion.

prefixedNonTypeName
   : nonTypeName
   | `ID . nonTypeName
   ;

prefixedTypeName
   : typeName
   | `TID . typeName
   ;

Identifiers prefixed with a dot are always resolved in the top-level namespace.

const bit<32> x = 2;
control c() {
   int<32> x = 0;
   apply {
       x = x + (int<32>).x;  // x is the int<32> local variable,
                             // .x is the top-level bit<32> variable
   }
}

References to resolve an identifier are attempted inside-out, starting with the current scope and proceeding to all lexically enclosing scopes. The compiler may provide a warning if multiple resolutions are possible for the same name (name shadowing).

const bit<4> x = 1;
control c() {
    const bit<8> x = 8;    // x declaration shadows global x
    const bit<4> y = .x;   // reference to top-level x
    const bit<8> z = x;    // reference to c's local x
    apply {}
}

The order of declarations is important; with the exception of parser states, all uses of a symbol must follow the symbol’s declaration. (This is a departure from P414, which allows declarations in any order. This requirement significantly simplifies the implementation of compilers for P4, allowing compilers to use additional information about declared identifiers to resolve ambiguities.)

See Section 14.3 for how variable references are resolved with respect to scopes.

6.3.2. Name visibility

Identifiers defined in the top-level namespace are globally visible. Declarations within a parser or control are private and cannot be referred to from outside of the enclosing parser or control.

6.4. Stateful elements

Most P4 constructs are stateless: given some inputs they produce a result that solely depends on these inputs. There are only two stateful constructs that may retain information across packets:

  • tables: Tables are read-only for the data plane, but their entries can be modified by the control-plane,

  • extern objects: many objects have state that can be read and written by the control plane and data plane. All constructs from the P414 language version that encapsulate state (e.g., counters, meters, registers) are represented using extern objects in P416.

In P4 all stateful elements must be explicitly allocated at compilation-time through the process called "instantiation".

In addition, parsers, control blocks, and packages may contain stateful element instantiations. Thus, they are also treated as stateful elements, even if they appear to contain no state, and must be instantiated before they can be used. However, although they are stateful, tables do not need to be instantiated explicitly—​declaring a table also creates an instance of it. This convention is designed to support the common case, since most tables are used just once. To have finer-grained control over when a table is instantiated, a programmer can declare it within a control.

Recall the example in Section 5.3: TopParser, TopPipe, TopDeparser, Checksum16, and Switch are types. There are two instances of Checksum16, one in TopParser and one in TopDeparser, both called ck. The TopParser, TopDeparser, TopPipe, and Switch are instantiated at the end of the program, in the declaration of the main instance object, which is an instance of the Switch type (a package).

6.5. Call convention: copy-in/copy-out

P4 provides multiple constructs for writing modular programs: extern methods, parsers, controls, actions. All these constructs behave similarly to procedures in standard general-purpose programming languages:

  • They have named and typed parameters.

  • They introduce a new local scope for parameters and local variables.

  • They allow arguments to be passed by binding them to their parameters.

parameterList
   : /* empty */
   | nonEmptyParameterList
   ;

nonEmptyParameterList
   : parameter
   | nonEmptyParameterList , parameter
   ;

parameter
   : annotationList direction type name initializerOpt
   ;

direction
   : /* empty */
   | IN
   | OUT
   | INOUT
   ;

Invocations are executed using copy-in/copy-out semantics.

Each parameter may be labeled with a direction:

  • in parameters are read-only. It is an error to use an in parameter on the left-hand side of an assignment or to pass it to a callee as a non-in argument. in parameters are initialized by copying the value of the corresponding argument when the invocation is executed.

  • out parameters are, with a few exceptions listed below, uninitialized and are treated as l-values (See Chapter 12) within the body of the method or function. An argument passed as an out parameter must be an l-value; after the execution of the call, the value of the parameter is copied to the corresponding storage location for that l-value.

  • inout parameters behave like a combination of in and out parameters simultaneously: On entry the value of the arguments is copied to the parameters. On return the value of the parameters is copied back to the arguments. In consequence, an argument passed as an inout parameter must be an l-value.

  • The meaning of parameters with no direction depends upon the kind of entity the parameter is for:

    • For anything other than an action, e.g. a control, parser, or function, a directionless parameter means that the value supplied as an argument in a call must be a compile-time known value (see Section 7.5).

    • For an action, a directionless parameter indicates that it is "action data". See Section 9.3 for the meaning of action data, but its meaning includes the following possibilities:

      • The parameter’s value is provided in the P4 program. In this case, the parameter behaves as if the direction were in. Such an argument expression need not be a compile-time known value.

      • The parameter’s value is provided by the control plane software when an entry is added to a table that uses that action. See Section 9.3.

    • A directionless parameter of an extern object type is passed by reference.

Direction out parameters are always initialized at the beginning of execution of the portion of the program that has the out parameters, e.g. control, parser, action, function, etc. This initialization is not performed for parameters with any direction that is not out.

  • If a direction out parameter is of type header or header_union, it is set to "invalid".

  • If a direction out parameter is of type header stack, all elements of the header stack are set to "invalid", and its nextIndex field is initialized to 0 (see Section 8.4.3).

  • If a direction out parameter is a compound type, e.g. a struct or tuple, other than one of the types listed above, then apply these rules recursively to its members.

  • If a direction out parameter has any other type, e.g. bit<W>, an implementation need not initialize it to any predictable value.

For example, if a direction out parameter has type s2_t named p:

header h1_t {
    bit<8> f1;
    bit<8> f2;
}
struct s1_t {
    h1_t h1a;
    bit<3> a;
    bit<7> b;
}
struct s2_t {
    h1_t h1b;
    s1_t s1;
    bit<5> c;
}

then at the beginning of execution of the part of the program that has the out parameter p, it must be initialized so that p.h1b and and p.s1.h1a are invalid. No other parts of p are required to be initialized.

Arguments are evaluated from left to right prior to the invocation of the function itself. The order of evaluation is important when the expression supplied for an argument can have side-effects. Consider the following example:

extern void f(inout bit x, in bit y);
extern bit g(inout bit z);
bit a;
f(a, g(a));

Note that the evaluation of g may mutate its argument a, so the compiler has to ensure that the value passed to f for its first parameter is not changed by the evaluation of the second argument. The semantics for evaluating a function call is given by the following algorithm (implementations can be different as long as they provide the same result):

  1. Arguments are evaluated from left to right as they appear in the function call expression.

  2. If a parameter has a default value and no corresponding argument is supplied, the default value is used as an argument.

  3. For each out and inout argument the corresponding l-value is saved (so it cannot be changed by the evaluation of the following arguments). This is important if the argument contains indexing operations into a header stack.

  4. The value of each argument is saved into a temporary.

  5. The function is invoked with the temporaries as arguments. We are guaranteed that the temporaries that are passed as arguments are never aliased to each other, so this "generated" function call can be implemented using call-by-reference if supported by the architecture.

  6. On function return, the temporaries that correspond to out or inout arguments are copied in order from left to right into the l-values saved in Step 3.

According to this algorithm, the previous function call is equivalent to the following sequence of statements:

bit tmp1 = a;     // evaluate a; save result
bit tmp2 = g(a);  // evaluate g(a); save result; modifies a
f(tmp1, tmp2);    // evaluate f; modifies tmp1
a = tmp1;         // copy inout result back into a

To see why Step 3 in the above algorithm is important, consider the following example:

header H { bit z; }
H[2] s;
f(s[a].z, g(a));

The evaluation of this call is equivalent to the following sequence of statements:

bit tmp1 = a;          // save the value of a
bit tmp2 = s[tmp1].z;  // evaluate first argument
bit tmp3 = g(a);       // evaluate second argument; modifies a
f(tmp2, tmp3);         // evaluate f; modifies tmp2
s[tmp1].z = tmp2;      // copy inout result back; dest is not s[a].z

When used as arguments, extern objects can only be passed as directionless parameters—​e.g., see the packet argument in the very simple switch example.

6.5.1. Justification

The main reason for using copy-in/copy-out semantics (instead of the more common call-by-reference semantics) is for controlling the side-effects of extern functions and methods. extern methods and functions are the main mechanism by which a P4 program communicates with its environment. With copy-in/copy-out semantics extern functions cannot hold references to P4 program objects; this enables the compiler to limit the side-effects that extern functions may have on the P4 program both in space (they can only affect out parameters) and in time (side-effects can only occur at function call time).

In general, extern functions are arbitrarily powerful: they can store information in global storage, spawn separate threads, "collude" with each other to share information—​but they cannot access any variable in a P4 program. With copy-in/copy-out semantics the compiler can still reason about P4 programs that invoke extern functions.

There are additional benefits of using copy-in copy-out semantics:

  • It enables P4 to be compiled for architectures that do not support references (e.g., where all data is allocated to named registers. Such architectures may require indices into header stacks that appear in a program to be compile-time known values.)

  • It simplifies some compiler analyses, since function parameters can never alias to each other within the function body.

Following is a summary of the constraints imposed by the parameter directions:

  • When used as arguments, extern objects can only be passed as directionless parameters.

  • All constructor parameters are evaluated at compilation-time, and in consequence they must all be directionless (they cannot be in, out, or inout); this applies to package, control, parser, and extern objects. Expressions for these parameters must be supplied at compile-time, and they must evaluate to compile-time known values. See Section 10.2.1 for further details.

  • For actions all directionless parameters must be at the end of the parameter list. When an action appears in a table's actions list, only the parameters with a direction must be bound. See Section 9.3 for further details.

  • Actions can also be explicitly invoked using function call syntax, either from a control block or from another action. In this case, values for all action parameters must be supplied explicitly, including values for the directionless parameters. The directionless parameters in this case behave like in parameters. See Section 18.6.1 for further details.

  • Default expressions are only allowed for in or directionless parameters, and the expressions supplied as defaults must be compile-time known values.

  • If parameters with default values do not appear at the end of the list of parameters, invocations that use the default values must use named arguments, as in the following example:

extern void f(in bit a, in bit<3> b = 2, in bit<5> c);

void g() {
  f(a = 1, b = 2, c = 3);  // ok
  f(a = 1, c = 3);  // ok, equivalent to the previous call, b uses default value
  f(1, 2, 3);       // ok, equivalent to the previous call
  // f(1, 3); // illegal, since the parameter b is not the last in the list
}

6.5.2. Optional parameters

A parameter that is annotated with the @optional annotation is optional: the user may omit the value for that parameter in an invocation. Optional parameters can only appear for arguments of: packages, parser types, control types, extern functions, extern methods, and extern object constructors. Optional parameters cannot have default values. If a procedure-like construct has both optional parameters and default values then it can only be called using named arguments. It is recommended, but not mandatory, for all optional parameters to be at the end of a parameter list.

The implementation of such objects is not expressed in P4, so the meaning and implementation of optional parameters should be specified by the target architecture. For example, we can imagine a two-stage switch architecture where the second stage is optional. This could be declared as a package with an optional parameter:

package pipeline(/* parameters omitted */);
package switch(pipeline first, @optional pipeline second);

pipeline(/* arguments omitted */) ingress;
switch(ingress) main;   // a switch with a single-stage pipeline

Here the target architecture could implement the elided optional argument using an empty pipeline.

The following example shows optional parameters and parameters with default values.

extern void h(in bit<32> a, in bool b = true);  // default value

// function calls
h(10);  // same as h(10, true);
h(a = 10);  // same as h(10, true);
h(a = 10, b = true);

struct Empty {}
control nothing(inout Empty h, inout Empty m) {
   apply {}
}

parser parserProto<H, M>(packet_in p, out H h, inout M m);
control controlProto<H, M>(inout H h, inout M m);

package pack<HP, MP, HC, MC>(
    @optional parserProto<HP, MP> _parser,  // optional parameter
                             controlProto<HC, MC> _control = nothing()); // default parameter value

pack() main;   // No value for _parser, _control is an instance of nothing()

6.6. Overloading

Functions, methods, and constructors are the only P4 constructs that support overloading: there can exist multiple methods with the same name in the same scope. When overloading is used, the compiler must be able to disambiguate at compile-time which method, function, or constructor is being called, either by the number of arguments or by the names of the arguments, when calls are specifying argument names. Argument type information is not used in disambiguating calls.

Notice that overloading of abstract methods, parsers, controls, or packages is not allowed:

parser p(packet_in p, out bit<32> value) {
  ...
}

// The following will cause an error about a duplicate declaration
//parser p(packet_in p, out Headers headers) {
//   ...
//}

See Section 18.2 for details on how overload is resolved.

6.7. Naming conventions

P4 provides a rich assortment of types. Base types include bit-strings, numbers, and errors. There are also built-in types for representing constructs such as parsers, pipelines, actions, and tables. Users can construct new types based on these: structures, enumerations, headers, header stacks, header unions, etc.

In this document we adopt the following conventions:

  • Built-in types are written with lowercase characters—​e.g., int<20>,

  • User-defined types are capitalized—​e.g., IPv4Address,

  • Type variables are always uppercase—​e.g., parser P<H, IH>(),

  • Variables are uncapitalized-- e.g., ipv4header,

  • Constants are written with uppercase characters—​e.g., CPU_PORT, and

  • Errors and enumerations are written in camel-case-- e.g. PacketTooShort.

7. The P4 Abstract Machine

A P416 program is a list of declarations:

p4program
   : /* empty */
   | p4program declaration
   | p4program ;
   ;

An empty declarations is indicated with a single semicolon. (Allowing empty declarations accommodates the habits of C/C++ and Java programmers—​e.g., certain constructs, like struct, do not require a terminating semicolon).

The evaluation of a P4 program is done in four stages:

  • preprocessing: at compile time, the P4 program is preprocessed to handle directives such as #include and #define.

  • type checking: at compile time, the P4 program is type checked according to the P4 type system.

  • instantiation: at compile time, all stateful blocks in the P4 program are instantiated.

  • runtime evaluation: at runtime, each P4 functional block is executed to completion, in isolation, when it receives control from the architecture.

The preprocessing stage is described in Section 7.1.

The type system is described in Section 7.2. In addition to checking the types, the type system also converts an input P4 program into an intermediate representation (P4IR). P4IR is an extension of the surface syntax of P4, e.g., the types of all expressions are made explicit, implicit type casts are inserted, and omitted type arguments are inferred. P4IR is described in Section 7.2.1.

The instantiation stage is described in Section 7.3. It traverses the type checked P4IR program, and recursively instantiates all stateful blocks. The result of the instantiation stage is a global store that holds all instantiated stateful blocks.

The runtime evaluation stage is described in Section 7.4. It describes how each P4 block, represented as stateful objects within the global store, is executed to completion. These blocks are orchestrated by the architecture to compose the overall packet processing pipeline.

7.1. Preprocessing

To aid the composition of programs from multiple source files, P4 compilers should support the following subset of the C preprocessor functionality:

  • #define for defining macros (without arguments)

  • #undef

  • #if #else #endif #ifdef #ifndef #elif

  • #include

The preprocessor should also remove the sequence backslash newline (ASCII codes 92, 10) to facilitate splitting content across multiple lines when convenient for formatting.

Additional C preprocessor capabilities may be supported, but are not guaranteed---e.g., macros with arguments. Similar to C, #include can specify a file name either within double quotes or within <>.

# include <system_file>
# include "user_file"

The difference between the two forms is the order in which the preprocessor searches for header files when the path is incompletely specified.

P4 compilers should correctly handle #line directives that may be generated during preprocessing. This functionality allows P4 programs to be built from multiple source files, potentially produced by different programmers at different times:

  • the P4 core library, defined in this document,

  • the architecture, defining data plane interfaces and extern blocks,

  • user-defined libraries of useful components (e.g. standard protocol header definitions), and

  • the P4 programs that specify the behavior of each programmable block.

The P4 language specification defines a core library that includes several common programming constructs. A description of the core library is provided in Appendix D. All P4 programs must include the core library. Including the core library is done with

# include <core.p4>

7.2. Type checking

P416 is a statically-typed language. Programs that do not pass the type checker are considered invalid and rejected by the compiler. P4 provides a number of base types as well as type operators that construct derived types.

7.2.1. P4 Intermediate Representation

P4IR is an intermediate representation for P4 programs. P4IR extends the surface syntax of P416 with additional information obtained during type checking. They include:

  • All expressions are annotated with their types.

  • Implicit casts are made explicit.

  • Omitted type arguments are inferred and made explicit.

P4IR is designed to stay as close as possible to the surface syntax of P416. This makes it easy to relate P4IR programs to their source P416 programs.

Take expressions as an example.

expression
   : literalExpression
   | referenceExpression
   | defaultExpression
   | unaryExpression
   | binaryExpression
   | ternaryExpression
   | castExpression
   | dataExpression
   | accessExpression
   | callExpression
   | parenthesizedExpression
   ;

expressionIR
   : literalExpressionIR
   | referenceExpressionIR
   | defaultExpressionIR
   | unaryExpressionIR
   | binaryExpressionIR
   | ternaryExpressionIR
   | castExpressionIR
   | dataExpressionIR
   | accessExpressionIR
   | callExpressionIR
   | parenthesizedExpressionIR
   ;

expressionNoteIR
   : `( typeIR ctk )
   ;

typedExpressionIR
   : expressionIR # expressionNoteIR
   ;

typedExpressionIR is an intermediate representation of expression that is annotated with type information, expressionNoteIR. Nevertheless, the structure of the grammar mostly stays the same.

binaryExpression
   : expression binop expression
   ;

binaryExpressionIR
   : typedExpressionIR binop typedExpressionIR
   ;

binaryExpressionIR is an intermediate representation of binaryExpression. The only difference is that the operands are now of type typedExpressionIR.

7.2.2. Typing a P4 program

For a well-typed P416 program, p4program, a type checker produces a P4IR program, p4programIR:

p4programIR
   : declarationIR* ;
   ;

Program_ok type checks a p4program and produces a p4programIR.

Click to view the specification source
relation Program_ok:  |- p4program : p4programIR

Below is a prose algorithm that implements Program_ok. Details of what each meta-variable means are provided in the subsequent sections.

Click to view the specification source
rulegroup Program_ok:
  rule Program_ok:
   |- p4program : (declarationIR* ;)
 -- if declaration* = $flatten_p4program(p4program)
 -- if TC_0 = $empty_typingContext
 -- Decls_ok: TC_0 |- declaration* : TC_1 declarationIR*
  1. Let declaration* be the list of declarations in p4program.

  2. Let TC0 be an empty typing context.

  3. Let context TC1 and declarationIR* be

  4. Result in typed P4 program declarationIR* ;.

The following helper function is used to collect declarations in a p4program:

Click to view the specification source
def $flatten_p4program(`EMPTY) = eps

def $flatten_p4program(p4program declaration) = $flatten_p4program(p4program) ++ [declaration]

def $flatten_p4program(p4program ;) = $flatten_p4program(p4program)
  1. If p4program is `EMPTY:

    1. Return ·.

  2. Else if let p4program' declaration be p4program:

    1. Let declaration'* be the list of declarations in p4program'.

    2. Return declaration'* concatenated with declaration.

  3. Else:

    1. Let p4program' ; be p4program.

    2. Return the list of declarations in p4program'.

7.2.3. Typing context

globalTypingLayer = {
  CONSTRUCTOR constructorTypeDefEnv,
  TYPE typeDefEnv,
  CALLABLE callableTypeDefEnv,
  FRAME typeFrame
}

blockTypingLayer = {
  KIND blockKind,
  TYPE typeDefEnv,
  CALLABLE callableTypeDefEnv,
  FRAME typeFrame
}

localTypingLayer = {
  KIND localKind,
  TYPE typeDefEnv,
  FRAMES typeFrame*
}

typingContext = {
  GLOBAL globalTypingLayer,
  BLOCK blockTypingLayer,
  LOCAL localTypingLayer
}

A typing context is used to keep track of the types of all named declarations in scope at a given program point. It consists of three layers:

  • A global typing layer, which contains all declarations at the top level of a P416 program.

  • A block typing layer, which contains all declarations in the current block scope.

  • A local typing layer, which contains all declarations in the current local scope.

Each layer contains mappings from names to types.

varTypeIR
   : direction typeIR ctk value?
   ;

typeFrame = map<id, varTypeIR>

typeFrame is a map from variable names to their types, varTypeIR. In addition to the type of the variable, varTypeIR also contains the direction of the variable (direction), whether it is a compile-time constant (ctk), and whether it is associated with a compile-time known value (value?).

The compile-time known-ness is discussed in Section 7.5.

Notice that localTypingLayer contains multiple typeFrames. This is because a local scope can be nested with block statements.

typeDefIR
   : nameTypeDefIR
   | aliasTypeDefIR
   | dataTypeDefIR
   | objectTypeDefIR
   ;

typeDefEnv = map<typeId, typeDefIR>

typeDefEnv is a map from type names to their type definitions, typeDefIR. typeDefIR is a type constructor, derived from user-defined type declarations.

callableTypeDefIR
   : actionTypeDefIR
   | functionTypeDefIR
   | methodTypeDefIR
   ;

callableTypeDefEnv = map<callableId, callableTypeDefIR>

Functions, methods, and actions can be defined in P416. These are collectively called callables. callableTypeDefEnv is a map from callable names to their type definitions, callableTypeDefIR.

constructorTypeDefIR
   : CONSTRUCTOR `< typeParameterIR* , typeParameterIR* >
       `( constructorParameterIR* ) : typeIR
   ;

constructorTypeDefEnv = map<constructorId, constructorTypeDefIR>

Stateful objects can be defined in P416, which are instantiated using constructors. constructorTypeDefEnv is a map from constructor names to their type definitions, constructorTypeDefIR.

7.3. Instantiation

Instantiation of a program proceeds in order of declarations, starting in the top-level namespace:

  • All declarations (e.g., parsers, controls, types, constants) evaluate to themselves.

  • Each table evaluates to a table instance.

  • Constructor invocations evaluate to stateful objects of the corresponding type. For this purpose, all constructor arguments are evaluated recursively and bound to the constructor parameters. Constructor arguments must be compile-time known values. The order of evaluation of the constructor arguments should be unimportant --- all evaluation orders should produce the same results.

  • Instantiations evaluate to named stateful objects.

  • The instantiation of a parser or control block recursively evaluates all stateful instantiations declared in the block.

  • The result of the program’s evaluation is the value of the top-level main variable.

Note that all stateful values are instantiated at compilation time.

As an example, consider the following program fragment:

// architecture declaration
parser P(/* parameters omitted */);
control C(/* parameters omitted */);
control D(/* parameters omitted */);

package Switch(P prs, C ctrl, D dep);

extern Checksum16 { /* body omitted */}

// user code
Checksum16() ck16; // checksum unit instance

parser TopParser(/* parameters omitted */)(Checksum16 unit) { /* body omitted */}
control Pipe(/* parameters omitted */) { /* body omitted */}
control TopDeparser(/* parameters omitted */)(Checksum16 unit) { /* body omitted */}

Switch(TopParser(ck16),
       Pipe(),
       TopDeparser(ck16)) main;

The evaluation of this program proceeds as follows:

  1. The declarations of P, C, D, Switch, and Checksum16 all evaluate to themselves.

  2. The Checksum16() ck16 instantiation is evaluated and it produces an object named ck16 with type Checksum16.

  3. The declarations for TopParser, Pipe, and TopDeparser evaluate as themselves.

  4. The main variable instantiation is evaluated:

    1. The arguments to the constructor are evaluated recursively.

    2. TopParser(ck16) is a constructor invocation.

      1. Its argument is evaluated recursively; it evaluates to the ck16 object.

    3. The constructor itself is evaluated, leading to the instantiation of an object of type TopParser.

    4. Similarly, Pipe() and TopDeparser(ck16) are evaluated as constructor calls.

    5. All the arguments of the Switch package constructor have been evaluated (they are an instance of TopParser, an instance of Pipe, and an instance of TopDeparser). Their signatures are matched with the Switch declaration.

    6. Finally, the Switch constructor can be evaluated. The result is an instance of the Switch package (that contains a TopParser named prs the first parameter of the Switch; a Pipe named ctrl; and a TopDeparser named dep).

  5. The result of the program evaluation is the value of the main variable, which is the above instance of the Switch package.

Figure 8 shows the result of the evaluation in a graphical form. The result is always a graph of instances. There is only one instance of Checksum16, called ck16, shared between the TopParser and TopDeparser. Whether this is possible is architecture-dependent. Specific target compilers may require distinct checksum units to be used in distinct blocks.

compileeval
Figure 8. Evaluation result.

7.3.1. Control-plane names

Every controllable entity exposed in a P4 program must be assigned a unique, fully-qualified name, which the control plane may use to interact with that entity. The following entities are controllable.

  • value sets

  • tables

  • keys

  • actions

  • extern instances

A fully qualified name consists of the local name of a controllable entity prepended with the fully qualified name of its enclosing namespace. Hence, the following program constructs, which enclose controllable entities, must themselves have unique, fully-qualified names.

  • control instances

  • parser instances

Evaluation may create multiple instances from one type, each of which must have a unique, fully-qualified name.

7.3.1.1. Computing control-plane names

The fully-qualified name of a construct is derived by concatenating the fully-qualified name of its enclosing construct with its local name. Constructs with no enclosing namespace, i.e. those defined at the global scope, have the same local and fully-qualified names. The local names of controllable entities and enclosing constructs are derived from the syntax of a P4 program as follows.

7.3.1.1.1. Value sets

For each value_set construct, its syntactic name becomes the local name of the value set. For example:

struct vsk_t {
    @match(ternary)
    bit<16> port;
}
value_set<vsk_t>(4) pvs;

This value_set’s local name is pvs.

7.3.1.1.2. Tables

For each table construct, its syntactic name becomes the local name of the table. For example:

control c(/* parameters omitted */)() {
    table t { /* body omitted */ }
}

This table’s local name is t.

7.3.1.1.3. Keys

Syntactically, table keys are expressions. For simple expressions, the local key name can be generated from the expression itself; the algorithm by which a compiler derives control-plane names for complex key expressions is target-dependent.

The spec suggests, but does not mandate, the following algorithm for generating names for some kinds of key expressions:

Kind

Example

Name

The isValid() method.

h.isValid()

"h.isValid()"

Array accesses.

header_stack[1]

"header_stack[1]"

Constants.

1

"1"

Field projections.

data.f1

"data.f1"

Slices.

f1[3:0]

"f1[3:0]"

Masks.

h.src & 0xFFFF

"h.src & 0xFFFF"

In the following example, the previous algorithm would derive for table t two keys with names data.f1 and hdrs[3].f2.

table t {
    keys = {
        data.f1 : exact;
        hdrs[3].f2 : exact;
    }
    actions = { /* body omitted */ }
}

If a compiler cannot generate a name for a key it requires the key expression to be annotated with a @name annotation (Section 20.2.3), as in the following example:

table t {
    keys = {
        data.f1 + 1 : exact @name("f1_mask");
    }
    actions = { /* body omitted */ }
}

Here, the @name("f1_mask") annotation assigns the local name "f1_mask" to this key.

7.3.1.1.4. Actions

For each action construct, its syntactic name is the local name of the action. For example:

control c(/* parameters omitted */)() {
    action a(...) { /* body omitted */ }
}

This action’s local name is a.

7.3.1.1.5. Instances

The local names of extern, parser, and control instances are derived based on how the instance is used. If the instance is bound to a name, that name becomes its local control plane name. For example, if control C is declared as,

control C(/* parameters omitted */)() { /* body omitted */ }

and instantiated as,

C() c_inst;

then the local name of the instance is c_inst.

Alternatively, if the instance is created as an actual argument, then its local name is the name of the formal parameter to which it will be bound. For example, if extern E and control C are declared as,

extern E { /* body omitted */ }
control C(/* parameters omitted */)(E e_in) { /* body omitted */ }

and instantiated as,

C(E()) c_inst;

then the local name of the extern instance is e_in.

If the construct being instantiated is passed as an argument to a package, the instance name is derived from the user-supplied type definition when possible. In the following example, the local name of the instance of MyC is c, and the local name of the extern is e2, not e1.

extern E { /* body omitted */ }
control ArchC(E e1);
package Arch(ArchC c);

control MyC(E e2)() { /* body omitted */ }
Arch(MyC()) main;

Note that in this example, the architecture will supply an instance of the extern when it applies the instance of MyC passed to the Arch package. The fully-qualified name of that instance is main.c.e2.

Next, consider a larger example that demonstrates name generation when there are multiple instances.

control Callee() {
    table t { /* body omitted */ }
    apply { t.apply(); }
}
control Caller() {
    Callee() c1;
    Callee() c2;
    apply {
       c1.apply();
       c2.apply();
    }
}
control Simple();
package Top(Simple s);
Top(Caller()) main;

The compile-time evaluation of this program produces the structure in Figure 9. Notice that there are two instances of the table t. These instances must both be exposed to the control plane. To name an object in this hierarchy, one uses a path composed of the names of containing instances. In this case, the two tables have names s.c1.t and s.c2.t, where s is the name of the argument to the package instantiation, which is derived from the name of its corresponding formal parameter.

evalmultiple
Figure 9. Evaluating a program that has several instantiations of the same component.
7.3.1.2. Annotations controlling naming

Control plane-related annotations (Section 20.2.3) can alter the names exposed to the control plane in the following ways.

  • The @hidden annotation hides a controllable entity from the control plane. This is the only case in which a controllable entity is not required to have a unique, fully-qualified name.

  • The @name annotation may be used to change the local name of a controllable entity.

Programs that yield the same fully-qualified name for two different controllable entities are invalid.

7.3.1.3. Recommendations

The control plane may refer to a controllable entity by a postfix of its fully qualified name when it is unambiguous in the context in which it is used. Consider the following example.

control c(/* parameters omitted */)() {
    action a (/* parameters omitted */) { /* body omitted */ }
    table t {
        keys = { /* body omitted */ }
        actions = { a; } }
}
c() c_inst;

Control plane software may refer to action c_inst.a as a when inserting rules into table c_inst.t, because it is clear from the definition of the table which action a refers to.

Not all unambiguous postfix shortcuts are recommended. For instance, consider the last example in Section 7.3.1.1.5. One might be tempted to refer to s.c1 simply as c1, as no other instance named c1 appears in the program. However, this leads to a brittle program since future modifications can never introduce an instance named c1, or include libraries of P4 code that contain instances with that name.

7.3.2. Instantiating a P4 program

objectId = nameIR*

object
   : externObject
   | parserObject
   | controlObject
   | packageObject
   | tableObject
   | valueSetObject
   ;

The stateful elements of a P4 program are represented as objects. These objects are identified by their fully-qualified names (objectId).

store = map<objectId, object>

A P416 program is first type checked to yield a P4IR program, and is then instantiated to create a store, which maps objectIds to objects.

Click to view the specification source
relation Program_inst:  |- p4program : globalInstLayer store
Click to view the specification source
rulegroup Program_inst:
  rule Program_inst:
   |- p4program : IC_1.GLOBAL STO_1
 -- Program_ok:  |- p4program : (declarationIR* ;)
 -- if IC_0 = $empty_instContext
 -- if STO_0 = $empty_store
 -- Decls_inst: IC_0 STO_0 |- declarationIR* : IC_1 STO_1
  1. Let typed P4 program declarationIR* ; be

  2. Let IC0 be an empty instantiation context.

  3. Let STO0 be an empty store.

  4. Let context IC1 and store STO1 be

  5. Result in global instantiation layer IC1.GLOBAL and store STO1.

7.3.3. Instantiation context

globalInstLayer = {
  CONSTRUCTOR constructorDefEnv,
  TYPE typeDefEnv,
  CALLABLE callableDefEnv,
  FRAME frame
}

blockInstLayer = {
  TYPE theta,
  CALLABLE callableDefEnv,
  STATE stateEnv,
  FRAME frame
}

localInstLayer = {
  TYPE theta,
  FRAMES frame*
}

instContext = {
  PATH objectId,
  GLOBAL globalInstLayer,
  BLOCK blockInstLayer,
  LOCAL localInstLayer
}

An instantiation context is used to keep track of the types and compile-time known values of all named declarations in scope at a given program point.

  • A global instantiation layer, which contains all declarations at the top level of a P4 program.

  • A block instantiation layer, which contains all declarations in the current block scope.

  • A local instantiation layer, which contains all declarations in the current local scope.

value
   : baseValue
   | dataValue
   | objectReferenceValue
   | synthesizedValue
   ;

frame = map<id, value>

frame is a map from variable names to their compile-time known values, value. The compile-time known-ness is discussed in Section 7.5.

typeDefIR
   : nameTypeDefIR
   | aliasTypeDefIR
   | dataTypeDefIR
   | objectTypeDefIR
   ;

typeDefEnv = map<typeId, typeDefIR>

typeDefEnv is a map from type names to their type definitions, typeDefIR. typeDefIR is a type constructor, derived from user-defined type declarations.

callableDef
   : actionDef
   | functionDef
   | methodDef
   ;

callableDefEnv = map<callableId, callableDef>

callableDefEnv is a map from callable names to their definitions, callableDef.

constructorDef
   : externObjectConstructorDef
   | parserObjectConstructorDef
   | controlObjectConstructorDef
   | packageObjectConstructorDef
   ;

constructorDefEnv = map<callableId, constructorDef>

Stateful objects are instantiated using constructors. constructorDefEnv is a map from constructor names to their definitions, constructorDef.

7.4. Runtime evaluation

The runtime evaluation of a P4 program is orchestrated by the architecture model. Each architecture model needs to specify the order and the conditions under which the various P4 component programs are dynamically executed. For example, in the Simple Switch example from Section 5.1 the execution flow goes Parser → Pipe → Deparser.

Once a P4 execution block is invoked its execution proceeds until termination according to the semantics defined in this document. P4 execution blocks are represented as objects in the global store, which is statically allocated during instantiation.

7.4.1. Evaluating a P4 program

P4 program evaluation proceeds by invoking the objects in the global store. A call to a programmable block invokes the corresponding abstract machine:

Click to view the specification source
relation Call_eval: cursor evalContext arch |- callee @ `<typeArgumentListIR> `(argumentListIR) : evalContext arch callResult

A call to an extern function invokes the corresponding extern function:

Click to view the specification source
extern relation ExternFunctionCall_eval: evalContext arch |- nameIR `(nameIR*) : evalContext arch callResult

A call to an extern method invokes the corresponding extern method:

Click to view the specification source
extern relation ExternMethodCall_eval: evalContext arch |- objectId . nameIR `(nameIR*) : evalContext arch callResult

7.4.2. Evaluation context

globalEvalLayer = globalInstLayer

blockEvalLayer = blockInstLayer

localEvalLayer = localInstLayer

evalContext = {
  GLOBAL globalEvalLayer,
  BLOCK blockEvalLayer,
  LOCAL localEvalLayer
}

An evaluation context is used to keep track of the types and compile-time known values of all named declarations in scope at a given program point.

  • A global evaluation layer, which contains all declarations at the top level of a P4 program.

  • A block evaluation layer, which contains all declarations in the current block scope.

  • A local evaluation layer, which contains all declarations in the current local scope.

The layers are the same as in the instantiation context, except that the frame is a map from variable names to their current runtime values.

The following sections describe the abstract machines that define the dynamic semantics of the programmable blocks in a P4 target.

7.4.3. The parser abstract machine

A parser starts execution in the start state and ends execution when one of the reject or accept states has been reached.

An architecture must specify the behavior when the accept and reject states are reached. For example, an architecture may specify that all packets reaching the reject state are dropped without further processing. Alternatively, it may specify that such packets are passed to the next block after the parser, with intrinsic metadata indicating that the parser reached the reject state, along with the error recorded.

7.4.4. The match-action pipeline abstract machine

We can describe the computational model of a match-action pipeline, embodied by a control block: the body of the control block is executed, similarly to the execution of a traditional imperative program:

  • At runtime, statements within a block are executed in the order they appear in the control block.

  • Execution of the return statement causes the immediate termination of the execution of the current control block and a return to the caller.

  • Execution of the exit statement causes the immediate termination of the execution of the current control block and of all the enclosing caller control blocks.

  • Applying a table executes the corresponding match-action unit.

7.4.5. Concurrency model

A typical packet processing system needs to execute multiple simultaneous logical "threads." At the very least there is a thread executing the control plane, which can modify the contents of the tables. Architecture specifications should describe in detail the interactions between the control-plane and the data-plane. The data plane can exchange information with the control plane through extern function and method calls. Moreover, high-throughput packet-processing systems may be processing multiple packets simultaneously, e.g., in a pipelined fashion, or concurrently parsing a first packet while performing match-action operations on a second packet. This section specifies the semantics of P4 programs with respect to such concurrent executions.

Each top-level parser or control block is executed as a separate thread when invoked by the architecture. All the parameters of the block and all local variables are thread-local — i.e., each thread has a private copy of these resources. This applies to the packet_in and packet_out parameters of parsers and deparsers.

As long as a P4 block uses only thread-local storage (e.g., metadata, packet headers, local variables), its behavior in the presence of concurrency is identical with the behavior in isolation, since any interleaving of statements from different threads must produce the same output.

In contrast, extern blocks instantiated by a P4 program are global, shared across all threads. If extern blocks mediate access to state (e.g., counters, registers) — i.e., the methods of the extern block read and write state, these stateful operations are subject to data races. P4 mandates that execution of a method call on an extern instance is atomic.

To allow users to express atomic execution of larger code blocks, P4 provides an @atomic annotation, which can be applied to block statements, parser states, control blocks, or whole parsers.

Consider the following example:

extern Register { /* body omitted */ }
control Ingress() {
  Register() r;
  table flowlet { /* read state of r in an action */ }
  table new_flowlet { /* write state of r in an action */ }
  apply {
    @atomic {
       flowlet.apply();
       if (ingress_metadata.flow_ipg > FLOWLET_INACTIVE_TIMEOUT)
          new_flowlet.apply();
}}}

This program accesses an extern object r of type Register in actions invoked from tables flowlet (reading) and new_flowlet (writing). Without the @atomic annotation these two operations would not execute atomically: a second packet may read the state of r before the first packet had a chance to update it.

Note that even within an action definition, if the action does something like reading a register, modifying it, and writing it back, in a way that only the modified value should be visible to the next packet, then, to guarantee correct execution in all cases, that portion of the action definition should be enclosed within a block annotated with @atomic.

A compiler backend must reject a program containing @atomic blocks if it cannot implement the atomic execution of the instruction sequence. In such cases, the compiler should provide reasonable diagnostics.

The P4 semantics described throughout this document assumes a sequential execution model. Thus, it does not describe the interactions between multiple threads accessing shared state. The purpose of this document is to clearly define the semantics of P4 constructs in isolation. The exact concurrency model, including the interactions between multiple threads, is target-dependent and beyond the scope of this document.

7.5. Compile-time known and local compile-time known values

Certain expressions in a P4 program have the property that their value can be determined at compile time. Moreover, for some of these expressions, their value can be determined only using information in the current scope. We call these compile-time known values and local compile-time known values respectively.

The following are local compile-time known values:

  • Integer literals, Boolean literals, and string literals.

  • Identifiers declared as constants using the const keyword.

  • Identifiers declared in an error, enum, or match_kind declaration.

  • The default identifier.

  • The size field of a value with type header stack.

  • The _ identifier when used as a select expression label.

  • The expression {#} representing an invalid header or header union value.

  • Identifiers that represent declared types, actions, functions, tables, parsers, controls, or packages.

  • Tuple expression where all components are local compile-time known values.

  • Structure-valued expressions, where all fields are local compile-time known values.

  • Expressions evaluating to a list type, where all elements are local compile-time known values.

  • Legal casts applied to local compile-time known values.

  • Indexing a local compile-time known stack or tuple value with a local compile-time known index.

  • Accessing a field of a local compile-time known struct, header, or header union value.

  • The following expressions (+, -, |+|, |-|, *, /, %, !, &, |, ^, &&, ||, <<, >>, ~, >, <, ==, !=, <=, >=, ++, [:], ?:) when their operands are all local compile-time known values.

  • Expressions of the form e.minSizeInBits(), e.minSizeInBytes(), e.maxSizeInBits() and e.maxSizeInBytes() where the type of e is not generic.

The following are compile-time known values:

  • All local compile-time known values.

  • Constructor parameters (i.e., the declared parameters for a parser, control, etc.)

  • Tuple expression where all components are compile-time known values.

  • Structure-valued expressions, where all fields are compile-time known values.

  • Expressions evaluating to a list type, where all elements are compile-time known values.

  • Legal casts applied to compile-time known values.

  • Indexing a compile-time known stack or tuple value with a compile-time known index.

  • Accessing a field of a compile-time known struct, header, or header union value.

  • The following expressions (+, -, |+|, |-|, *, /, %, !, &, |, ^, &&, ||, <<, >>, ~, >, <, ==, !=, <=, >=, ++, [:], ?:) when their operands are all compile-time known values.

  • Expressions of the form e.minSizeInBits(), e.minSizeInBytes(), e.maxSizeInBits() and e.maxSizeInBytes() where the the type of e is generic.

Intuitively, the main difference between compile-time known values and local compile-time known values is that the former also contains constructor parameters. The distinction is important when it comes to defining the meaning of features like types. For example, in the type bit<e>, the expression e must be a local compile-time known value. Suppose instead that e were a constructor parameter—​i.e., merely a compile-time known value. In this situation, it would be impossible to resolve bit<e> to a concrete type using purely local information—​we would have to wait until the constructor was instantiated and the value of e known.

Local compile-time known values can be identified in the type checking phase. Compile-time known values can be identified after type checking, during the instantiation phase. Once the constructor parameters are bound to actual arguments and type parameters are bound to actual types, compile-time known values can be evaluated to concrete values.

ctk is a marker used in P4IR to indicate whether an expression is local compile-time known, compile-time known, or neither.

ctk
   : LCTK
   | CTK
   | DYN
   ;

typedExpressionIRs in P4IR, produced by typing expressions in P416, annotated with their type typeIR and a ctk marker indicating the compile-time known status.

expressionNoteIR
   : `( typeIR ctk )
   ;

typedExpressionIR
   : expressionIR # expressionNoteIR
   ;

8. P4 types and values

P416 is a statically-typed language. Programs that do not pass the type checker are considered invalid and rejected by the compiler. P4 provides a number of base types as well as type operators that construct derived types.

The syntax for P4 types is as follows:

type
   : baseType
   | namedType
   | headerStackType
   | listType
   | tupleType
   ;

typeOrVoid
   : type
   | VOID
   | identifier
   ;

These types are represented in P4IR as follows:

typeIR
   : baseTypeIR
   | nameTypeIR
   | aliasTypeIR
   | dataTypeIR
   | objectTypeIR
   | synthesizedTypeIR
   ;

The types represent the kinds of values that can be used in P4 programs. The runtime representation of P4 values is as follows:

value
   : baseValue
   | dataValue
   | objectReferenceValue
   | synthesizedValue
   ;

8.1. Semantics of types

8.1.1. Type checking surface types

typeIR is constructed from type checking the surface syntax of P4 types (type) with the following relation:

8.1.2. Well-formedness

The P4 type system also imposes well-formedness constraints on types, which enforce additional restrictions on the structure of types, such as type nesting.

8.2. Base types and values

P4 supports the following built-in base types:

  • bool, which represents Boolean values

  • The error type, which is used to convey errors in a target-independent, compiler-managed way.

  • The match_kind type, which is used for describing the implementation of table lookups,

  • The string type, which can be used with compile-time known values of type string.

  • int, which represents arbitrary-sized integer values

  • Fixed-width signed integers represented using two’s complement int<>

  • Bit-strings of fixed width, denoted by bit<>

  • Bit-strings of dynamically-computed width with a fixed maximum width varbit<>

baseType
   : BOOL
   | ERROR
   | MATCH_KIND
   | STRING
   | INT
   | INT `< int >
   | INT `< `( expression ) >
   | BIT
   | BIT `< int >
   | BIT `< `( expression ) >
   | VARBIT `< int >
   | VARBIT `< `( expression ) >
   ;

In addition, P4 supports void types:

typeOrVoid
   : type
   | VOID
   | identifier
   ;
  • The void type, which has no values and can be used only in a few restricted circumstances.

In P4IR, base types and values are represented as:

baseTypeIR
   : voidTypeIR
   | boolTypeIR
   | errorTypeIR
   | matchKindTypeIR
   | stringTypeIR
   | integerTypeIR
   ;

baseValue
   : boolValue
   | errorValue
   | matchKindValue
   | stringValue
   | integerValue
   ;

8.2.1. Well-formedness

The well-formedness rules for base types are as follows:

Click to view the specification source
rulegroup Type_wf/baseTypeIR:
  rule Type_wf/baseTypeIR:
  B |- baseTypeIR

8.2.2. The void type

voidTypeIR
   : VOID
   ;

The void type is written void. It contains no values. It is not included in the production rule baseType as it can only appear in few restricted places in P4 programs.

There is no value of type void.

8.2.2.1. Type checking
Click to view the specification source
rulegroup Type_ok/void:
  rule Type_ok/void:
  p TC |- VOID : VOID # eps
  1. Result in VOID and fresh type variables ·.

8.2.3. Booleans

boolTypeIR
   : BOOL
   ;

boolValue
   : `B bool
   ;

The Boolean type bool contains just two values, false and true. Boolean values are not integers or bit-strings.

8.2.3.1. Operations

The following operations are provided on Boolean expressions:

  • And, denoted by &&

  • Or, denoted by ||

  • Negation, denoted by !

  • Equality and inequality tests, denoted by == and != respectively.

The precedence of these operators is similar to C and uses short-circuited evaluation where relevant.

Additionally, the size of a boolean can be determined at compile-time ([sec-minsizeinbits]).

P4 does not implicitly cast from bit-strings to Booleans or vice versa. As a consequence, a program that is valid in a language like C such as,

if (x) /* body omitted */

(where x has an integer type) must instead be written in P4 as:

if (x != 0) /* body omitted */

See the discussion on arbitrary-precision types and implicit casts in Section 17.2 for details on how the 0 in this expression is evaluated.

8.2.3.2. Type checking
Click to view the specification source
rulegroup Type_ok/boolean:
  rule Type_ok/boolean:
  p TC |- BOOL : BOOL # eps
  1. Result in BOOL and fresh type variables ·.

8.2.4. Errors

errorTypeIR
   : ERROR
   ;

errorValue
   : ERROR . nameIR
   ;

The error type contains opaque distinct values that can be used to signal errors. It is written as error. New elements of the error type are defined with the following syntax:

errorDeclaration
   : ERROR `{ nameList }
   ;

All elements of the error type are inserted into the error namespace, irrespective of the place where an error is defined. error is similar to an enumeration (enum) type in other languages. A program can contain multiple error declarations, which the compiler will merge together. It is an error to declare the same identifier multiple times.

Error declaration is described in detail in Section 11.7.

For example, the following declaration creates two elements of the error type (these errors are declared in the P4 core library):

error { ParseError, PacketTooShort }

The underlying representation of errors is target-dependent.

See Section 11.7 for the semantics of error declarations and Section 14.12 for accessing error values.

8.2.4.1. Operations

Symbolic names declared by an error declaration belong to the error namespace. The error type only supports equality (==) and inequality (!=) comparisons. The result of such a comparison is a Boolean value.

For example, the following operation tests for the occurrence of an error:

error errorFromParser;

if (errorFromParser != error.NoError) { /* code omitted */ }
8.2.4.2. Type checking
Click to view the specification source
rulegroup Type_ok/error:
  rule Type_ok/error:
  p TC |- ERROR : ERROR # eps
  1. Result in ERROR and fresh type variables ·.

8.2.5. Match kinds

matchKindTypeIR
   : MATCH_KIND
   ;

matchKindValue
   : MATCH_KIND . nameIR
   ;

The match_kind type is very similar to the error type and is used to declare a set of distinct names that may be used in a table’s key property (described in [sec-table-props]). All identifiers are inserted into the top-level namespace. It is an error to declare the same match_kind identifier multiple times.

matchKindDeclaration
   : MATCH_KIND `{ nameList trailingCommaOpt }
   ;

The P4 core library contains the following match_kind declaration:

match_kind {
   exact,
   ternary,
   lpm
}

Architectures may support additional match_kinds. The declaration of new match_kinds can only occur within model description files; P4 programmers cannot declare new match kinds.

Match kind declaration is described in detail in Section 11.8.

8.2.5.1. Operations

Values of type match_kind are similar to enum values. They support only assignment and comparisons for equality and inequality.

match_kind { fuzzy }
const bool same = exact == fuzzy;  // always 'false'
8.2.5.2. Type checking
Click to view the specification source
rulegroup Type_ok/matchKind:
  rule Type_ok/matchKind:
  p TC |- MATCH_KIND : MATCH_KIND # eps
  1. Result in MATCH_KIND and fresh type variables ·.

8.2.6. Strings

stringTypeIR
   : STRING
   ;

stringValue = stringLiteral

The type string represents strings. The values of type string are either string literals, or concatenations of multiple string-typed expressions.

One cannot declare variables with a string type. Parameters with type string can be only directionless (see Section Section 18.4). P4 does not support string manipulation in the dataplane; the string type is only allowed for describing compile-time known values (i.e., string literals, as discussed in Section Section 6.2.2.3). Even so, the string type is useful, for example, in giving the type signature for extern functions such as the following:

extern void log(string message);

As another example, the following annotation indicates that the specified name should be used for a given table in the generated control-plane API:

@name("acl") table t1 { /* body omitted */ }
8.2.6.1. Operations

The only operation allowed on strings is concatenation, denoted by ++. For string concatenation, both operands must be strings and the result is also a string. String concatenation can only be performed at compile time.

extern void log(string message);

void foo(int<8> v) {
  // ...
  log("my log message " ++
      "continuation of the log message");
}
8.2.6.2. Type checking
Click to view the specification source
rulegroup Type_ok/string:
  rule Type_ok/string:
  p TC |- STRING : STRING # eps
  1. Result in STRING and fresh type variables ·.

8.2.7. Integers (signed and unsigned)

integerTypeIR
   : intTypeIR
   | fixedIntTypeIR
   | fixedBitTypeIR
   | varBitTypeIR
   ;

integerLiteral
   : D int
   | nat W int
   | nat S int
   ;

integerValue
   : integerLiteral
   | nat . nat V int
   ;

P4 supports arbitrary-size integer values. The typing rules for the integer types are chosen according to the following principles:

  • Inspired by C: Typing of integers is modeled after the well-defined parts of C, expanded to cope with arbitrary fixed-width integers. In particular, the type of the result of an expression only depends on the expression operands, and not on how the result of the expression is consumed.

  • No undefined behaviors: P4 attempts to avoid many of C’s behaviors, which include the size of an integer (int), the results produced on overflow, and the results produced for some input combinations (e.g., shifts with negative amounts, overflows on signed numbers, etc.). P4 computations on integer types have no undefined behaviors.

  • Least surprise: The P4 typing rules are chosen to behave as closely as possible to traditional well-behaved C programs.

  • Forbid rather than surprise: Rather than provide surprising or undefined results (e.g., in C comparisons between signed and unsigned integers), we have chosen to forbid expressions with ambiguous interpretations. For example, P4 does not allow binary operations that combine signed and unsigned integers.

The priority of arithmetic operations is identical to C—​e.g., multiplication binds tighter than addition.

8.2.7.1. Portability

No P4 target can support all possible types and operations. For example, the type bit<23132312> is legal in P4, but it is highly unlikely to be supported on any target in practice. Hence, each target can impose restrictions on the types it can support. Such restrictions may include:

  • The maximum width supported

  • Alignment and padding constraints (e.g., arithmetic may only be supported on widths which are an integral number of bytes).

  • Constraints on some operands (e.g., some architectures may only support multiplications by small values, or shifts with small values).

The documentation supplied with a target should clearly specify restrictions, and target-specific compilers should provide clear error messages when such restrictions are encountered. An architecture may reject a well-typed P4 program and still be conformant to the P4 spec. However, if an architecture accepts a P4 program as valid, the runtime program behavior should match this specification.

8.2.7.2. Integer literals

The types of integer literals are as follows:

  • An integer with no type prefix has type int.

  • A non-negative integer prefixed with an integer width W and the character w has type bit<W>.

  • An integer prefixed with an integer width W and the character s has type int<W>.

The table below shows several examples of integer literals and their types. For additional examples of literals see Section 6.2.2.

Literal Interpretation

10

Type is int, value is 10

8w10

Type is bit<8>, value is 10

8s10

Type is int<8>, value is 10

2s3

Type is int<2>, value is -1 (last 2 bits), overflow warning

1w10

Type is bit<1>, value is 0 (last bit), overflow warning

1s1

Type is int<1>, value is -1, overflow warning

8.2.7.3. Illegal arithmetic expressions

Many arithmetic expressions that would be allowed in other languages are illegal in P4. To illustrate, consider the following declarations:

bit<8>  x;
bit<16> y;
int<8>  z;

The table below shows several expressions which are illegal because they do not obey the P4 typing rules. For each expression we provide several ways that the expression could be manually rewritten into a legal expression. Note that for some expression there are several legal alternatives, which may produce different results! The compiler cannot guess the user intent, so P4 requires the user to disambiguate.

Expression Why it is illegal Alternatives

x + y

Different widths

(bit<16>)x + y

x + (bit<8>)y

x + z

Different signedness

(int<8>)x + z

x + (bit<8>)z

(int<8>)y

Cannot change both sign and width

(int<8>)(bit<8>)y

(int<8>)(int<16>)y

y + z

Different widths and signs

(int<8>)(bit<8>)y + z

y + (bit<16>)(bit<8>)z

(bit<8>)y + (bit<8>)z

(int<16>)y + (int<16>)z

x << z

RHS of shift cannot be signed

x << (bit<8>)z

x < z

Different signs

x < (bit<8>)z

(int<8>)x < z

1 << x

Either LHS should have a fixed width (bit shift),

32w1 << x

Or RHS must be compile-time known (int shift)

None

~1

Bitwise operation on int

~32w1

5 & -3

Bitwise operation on int

32w5 & -3

8.2.7.4. Arbitrary-precision integers

The arbitrary-precision data type describes integers with an unlimited precision. This type is written as int.

This type is reserved for integer literals and expressions that involve only literals. No P4 runtime value can have an int type; at compile time the compiler will convert all int values that have a runtime component to fixed-width types, according to the rules described below.

The following example shows three constant definitions whose values are arbitrary-precision integers.

const int a = 5;
const int b = 2 * a;
const int c = b - a + 3;

Parameters with type int are not supported for actions. Parameters with type int for other callable entities of a program, e.g. controls, parsers, or functions, must be directionless, indicating that all calls must provide a compile-time known value as an argument for such a parameter. See Section 18.4 for more details on directionless parameters.

8.2.7.4.1. Operations

The type int denotes arbitrary-precision integers. In P4, all expressions of type int must be compile-time known values. The type int supports the following operations:

  • Negation, denoted by unary -

  • Unary plus, denoted by +. This operation behaves like a no-op.

  • Addition, denoted by +.

  • Subtraction, denoted by -.

  • Comparison for equality and inequality, denoted by == and != respectively. These operations produce a Boolean result.

  • Numeric comparisons <,<=,>, and >=. These operations produce a Boolean result.

  • Multiplication, denoted by *.

  • Truncating integer division between positive values, denoted by /.

  • Modulo between positive values, denoted by %.

  • Arithmetic shift left and right denoted by << and >>. These operations produce an int result. The right operand must be either an unsigned value of type bit<S> or a compile-time known value that is a non-negative integer.

  • Bit slices, denoted by [H:L], where H and L must be expressions that evaluate to non-negative, local compile-time known values, and H >= L must be true. The types of H and L (which do not need to be identical) must be one of the following:

    The result is an unsigned bit-string of width H - L + 1, including the bits numbered from L (which becomes the least significant bit of the result) to H (the most significant bit of the result) from the source operand. The conditions 0 <= L <= H are checked statically. If necessary, the source integer value that is sliced is automatically extended to have a width with H bits. Note that both endpoints of the extraction are inclusive. The bounds are required to be values that are known at compile time so that the width of the result can be computed at compile time. A slice of a negative or positive value is always a positive value.

Each operand that participates in any of these operation must have type int (except shifts). Binary operations cannot be used to combine values of type int with values of a fixed-width type (except shifts). However, the compiler automatically inserts casts from int to fixed-width types in certain situations—​see Chapter 17.

All computations on int values are carried out without loss of information. For example, multiplying two 1024-bit values may produce a 2048-bit value (note that concrete representation of int values is not specified). int values can be cast to bit<w> and int<w> values. Casting an int value to a fixed-width type will preserve the least-significant bits. If truncation causes significant bits to be lost, the compiler should emit a warning.

Note: bitwise-operations (|, &, ^, ~) are not defined on expressions of type int. In addition, it is illegal to apply division and modulo to negative values. Saturating arithmetic is not supported for arbitrary-precision integers.

8.2.7.4.2. Type checking
Click to view the specification source
rulegroup Type_ok/arbitraryInt:
  rule Type_ok/arbitraryInt:
  p TC |- INT : INT # eps
  1. Result in INT and fresh type variables ·.

8.2.7.5. Fixed-width unsigned integers (bit-strings)

An unsigned integer (which we also call a "bit-string") has an arbitrary width, expressed in bits. A bit-string of width W is declared as: bit<W>. W must be an expression that evaluates to a local compile-time known value (see Section 7.5) that is a non-negative integer. When using an expression for the size, the expression must be parenthesized. Bitstrings with width 0 are allowed; they have no actual bits, and can only have the value 0. See [sec-uninitialized-values-and-writing-invalid-headers] for additional details. Note that bit<W> type refers to both cases of bit<W> and bit<(expression)> where the width is a local compile-time known value.

const bit<32> x = 10;   // 32-bit constant with value 10.
const bit<(x + 2)> y = 15;  // 12-bit constant with value 15.
                            // expression for width must use ()

Bits within a bit-string are numbered from 0 to W-1. Bit 0 is the least significant, and bit W-1 is the most significant.

For example, the type bit<128> denotes the type of bit-string values with 128 bits numbered from 0 to 127, where bit 127 is the most significant.

The type bit is a shorthand for bit<1>.

P4 architectures may impose additional constraints on bit types: for example, they may limit the maximum size, or they may only support some arithmetic operations on certain sizes (e.g., 16-, 32-, and 64- bit values).

8.2.7.5.1. Operations

This section discusses all operations that can be performed on expressions of type bit<W> for some width W, also known as bit-strings.

Arithmetic operations "wrap around", similar to C operations on unsigned values (i.e., representing a large value on W bits will only keep the least-significant W bits of the value). In particular, P4 does not have arithmetic exceptions—​the result of an arithmetic operation is defined for all possible inputs.

P4 target architectures may optionally support saturating arithmetic. All saturating operations are limited to a fixed range between a minimum and maximum value. Saturating arithmetic has advantages, in particular when used as counters. The result of a saturating counter max-ing out is much closer to the real result than a counter that overflows and wraps around. According to Wikipedia Saturating Arithmetic is as numerically close to the true answer as possible; for 8-bit binary signed arithmetic, when the correct answer is 130, it is considerably less surprising to get an answer of 127 from saturating arithmetic than to get an answer of −126 from modular arithmetic. Likewise, for 8-bit binary unsigned arithmetic, when the correct answer is 258, it is less surprising to get an answer of 255 from saturating arithmetic than to get an answer of 2 from modular arithmetic. At this time, P4 defines saturating operations only for addition and subtraction. For an unsigned integer with bit-width of W, the minimum value is 0 and the maximum value is 2^W-1. The precedence of saturating addition and subtraction operations is the same as for modular arithmetic addition and subtraction.

All binary operations except shifts and concatenation require both operands to have the same exact type and width; supplying operands with different widths produces an error at compile time. No implicit casts are inserted by the compiler to equalize the widths. There are no other binary operations that accept signed and unsigned values simultaneously besides shifts and concatenation. The following operations are provided on bit-string expressions:

  • Test for equality between bit-strings of the same width, designated by ==. The result is a Boolean value.

  • Test for inequality between bit-strings of the same width, designated by !=. The result is a Boolean value.

  • Unsigned comparisons <,>,<=,>=. Both operands must have the same width and the result is a Boolean value.

Each of the following operations produces a bit-string result when applied to bit-strings of the same width:

  • Negation, denoted by unary -. The result is computed by subtracting the value from 2W. The result is unsigned and has the same width as the input. The semantics is the same as the C negation of unsigned numbers.

  • Unary plus, denoted by +. This operation behaves like a no-op.

  • Addition, denoted by +. This operation is associative. The result is computed by truncating the result of the addition to the width of the output (similar to C).

  • Subtraction, denoted by -. The result is unsigned, and has the same type as the operands. It is computed by adding the negation of the second operand (similar to C).

  • Multiplication, denoted by *. The result has the same width as the operands and is computed by truncating the result to the output’s width. P4 architectures may impose additional restrictions—​e.g., they may only allow multiplication by a non-negative integer power of two.

  • Bitwise "and" between two bit-strings of the same width, denoted by &.

  • Bitwise "or" between two bit-strings of the same width, denoted by |.

  • Bitwise "complement" of a single bit-string, denoted by ~.

  • Bitwise "xor" of two bit-strings of the same width, denoted by ^.

  • Saturating addition, denoted by |+|.

  • Saturating subtraction, denoted by |-|.

Bit-strings also support the following operations:

  • Logical shift left and right by a non-negative integer value (which need not be a compile-time known value), denoted by << and >> respectively. In a shift, the left operand is unsigned, and right operand must be either an expression of type bit<S> or a non-negative integer value that is known at compile time. The result has the same type as the left operand. Shifting by an amount greater than or equal to the width of the input produces a result where all bits are zero.

  • Extraction of a set of contiguous bits, also known as a slice, denoted by [H:L], where H and L must be expressions that evaluate to non-negative, local compile-time known values, and H >= L. The types of H and L (which do not need to be identical) must be numeric ([sec-numeric-values]). The result is a bit-string of width H - L + 1, including the bits numbered from L (which becomes the least significant bit of the result) to H (the most significant bit of the result) from the source operand. The conditions 0 <= L <= H < W are checked statically (where W is the length of the source bit-string). Note that both endpoints of the extraction are inclusive. The bounds are required to be local compile-time known values so that the width of the result can be computed at compile time. Slices are also l-values, which means that P4 supports assigning to a slice: e[H:L] = x. The effect of this statement is to set bits H through L (inclusive of both) of e to the bit-pattern represented by x, and leaves all other bits of e unchanged. A slice of an unsigned integer is an unsigned integer.

  • Concatenation of bit-strings and/or fixed-width signed integers, denoted by ++. The two operands must be either bit<W> or int<W>, and they can be of different signedness and width. The result has the same signedness as the left operand and the width equal to the sum of the two operands' width. In concatenation, the left operand is placed as the most significant bits.

Additionally, the size of a bit-string can be determined at compile-time ([sec-minsizeinbits]).

8.2.7.5.2. Type checking
Click to view the specification source
rulegroup Type_ok/fixedBit:
  rule Type_ok/none:
  p TC |- BIT : (BIT `<1>) # eps
  rule Type_ok/integer:
  p TC |- BIT `<n> : (BIT `<n>) # eps
  rule Type_ok/expression:
  p TC |- BIT `<`(expression)> : (BIT `<n>) # eps
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if LCTK = $ctk_of_typedExpressionIR(typedExpressionIR)
 -- Expr_eval_lctk: p TC |- typedExpressionIR ~> integerValue
 -- if n = $nat_of_integerValue(integerValue)
  1. If baseType is BIT:

    1. Result in BIT < 1 > and fresh type variables ·.

  2. Else if let BIT < int > be baseType:

    1. Check that int has type nat.

    2. Let n be int.

    3. Result in BIT < n > and fresh type variables ·.

  3. Else if let BIT < ( expression ) > be baseType:

    1. Let typedExpressionIR be

    2. Check that the compile-time known-ness of typedExpressionIR is LCTK.

    3. Let value be

    4. Check that value has type integerValue.

    5. Let integerValue be value.

    6. Let n be ! the natural number representation of integerValue.

    7. Result in BIT < n > and fresh type variables ·.

8.2.7.6. Fixed-width signed integers

Signed integers are represented using two’s complement. An integer with W bits is declared as: int<W>. W must be an expression that evaluates to a local compile-time known (see Section Section 7.5) value that is a non-negative integer. Note that int<W> type refers to both cases of int<W> and int<(expression)> where the width is a local compile-time known value.

Bits within an integer are numbered from 0 to W-1. Bit 0 is the least significant, and bit W-1 is the sign bit.

For example, the type int<64> describes the type of integers represented using exactly 64 bits with bits numbered from 0 to 63, where bit 63 is the most significant (sign) bit.

P4 architectures may impose additional constraints on signed types: for example, they may limit the maximum size, or they may only support some arithmetic operations on certain sizes (e.g., 16-, 32-, and 64- bit values).

A signed integer with width 1 can only have two legal values: 0 and -1.

8.2.7.6.1. Operations

This section discusses all operations that can be performed on expressions of type int<W> for some W. Recall that the int<W> denotes signed W-bit integers, represented using two’s complement.

In general, P4 arithmetic operations do not detect "underflow" or "overflow": operations simply "wrap around", similar to C operations on unsigned values. Hence, attempting to represent large values using W bits will only keep the least-significant W bits of the value.

P4 supports saturating arithmetic (addition and subtraction) for signed integers. Targets may optionally reject programs using saturating arithmetic. For a signed integer with bit-width of W, the minimum value is -2^(W-1) and the maximum value is 2^(W-1)-1.

P4 also does not support arithmetic exceptions. The runtime result of an arithmetic operation is defined for all combinations of input arguments.

All binary operations except shifts and concatenation require both operands to have the same exact type (signedness) and width and supplying operands with different widths or signedness produces a compile-time error. No implicit casts are inserted by the compiler to equalize the types. Except for shifts and concatenation, P4 does not have any binary operations that operate simultaneously on signed and unsigned values.

Note that bitwise operations on signed integers are well-defined, since the representation is mandated to be two’s complement.

The int<W> datatype supports the following operations; all binary operations require both operands to have the exact same type. The result always has the same width as the left operand.

  • Negation, denoted by unary -.

  • Unary plus, denoted by +. This operation behaves like a no-op.

  • Addition, denoted by +.

  • Subtraction, denoted by -.

  • Comparison for equality and inequality, denoted == and != respectively. These operations produce a Boolean result.

  • Numeric comparisons, denoted by <,<=,>, and >=. These operations produce a Boolean result.

  • Multiplication, denoted by *. Result has the same width as the operands. P4 architectures may impose additional restrictions—​e.g., they may only allow multiplication by a power of two.

  • Bitwise "and" between two bit-strings of the same width, denoted by &.

  • Bitwise "or" between two bit-strings of the same width, denoted by |.

  • Bitwise "complement" of a single bit-string, denoted by ~.

  • Bitwise "xor" of two bit-strings of the same width, denoted by ^.

  • Saturating addition, denoted by |+|.

  • Saturating subtraction, denoted by |-|.

The int<W> datatype also support the following operations:

  • Arithmetic shift left and right denoted by << and >>. The left operand is signed and the right operand must be either an unsigned number of type bit<S> or a compile-time known value that is a non-negative integer. The result has the same type as the left operand. Shifting left produces the exact same bit pattern as a shift left of an unsigned value. Shift left can thus overflow, when it leads to a change of the sign bit. Shifting by an amount greater than the width of the input produces a "correct" result:

    • all result bits are zero when shifting left

    • all result bits are zero when shifting a non-negative value right

    • all result bits are one when shifting a negative value right

  • Extraction of a set of contiguous bits, also known as a slice, denoted by [H:L], where H and L must be expressions that evaluate to non-negative, local compile-time known values, and H >= L must be true. The types of H and L (which do not need to be identical) must be numeric ([sec-numeric-values]). The result is an unsigned bit-string of width H - L + 1, including the bits numbered from L (which becomes the least significant bit of the result) to H (the most significant bit of the result) from the source operand. The conditions 0 <= L <= H < W are checked statically (where W is the length of the source bit-string). Note that both endpoints of the extraction are inclusive. The bounds are required to be values that are known at compile time so that the width of the result can be computed at compile time. Slices are also l-values, which means that P4 supports assigning to a slice: e[H:L] = x. The effect of this statement is to set bits H through L of e to the bit-pattern represented by x, and leaves all other bits of e unchanged. A slice of a signed integer is treated as an unsigned integer.

  • Concatenation of bit-strings and/or fixed-width signed integers, denoted by ++. The two operands must be either bit<W> or int<W>, and they can be of different signedness and width. The result has the same signedness as the left operand and the width equal to the sum of the two operands' width. In concatenation, the left operand is placed as the most significant bits.

Additionally, the size of a fixed-width signed integer can be determined at compile-time ([sec-minsizeinbits]).

8.2.7.6.2. Type checking
Click to view the specification source
rulegroup Type_ok/fixedInt:
  rule Type_ok/integer:
  p TC |- INT `<n> : (INT `<n>) # eps
  rule Type_ok/expression:
  p TC |- INT `<`(expression)> : (INT `<n>) # eps
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if LCTK = $ctk_of_typedExpressionIR(typedExpressionIR)
 -- Expr_eval_lctk: p TC |- typedExpressionIR ~> integerValue
 -- if n = $nat_of_integerValue(integerValue)
  1. If let INT < int > be baseType:

    1. Check that int has type nat.

    2. Let n be int.

    3. Result in INT < n > and fresh type variables ·.

  2. Else if let INT < ( expression ) > be baseType:

    1. Let typedExpressionIR be

    2. Check that the compile-time known-ness of typedExpressionIR is LCTK.

    3. Let value be

    4. Check that value has type integerValue.

    5. Let integerValue be value.

    6. Let n be ! the natural number representation of integerValue.

    7. Result in INT < n > and fresh type variables ·.

8.2.7.7. Dynamically-sized bit-strings

Some network protocols use fields whose size is only known at runtime (e.g., IPv4 options). To support restricted manipulations of such values, P4 provides a special bit-string type whose size is set at runtime, called a varbit.

The type varbit<W> denotes a bit-string with a width of at most W bits, where W is a local compile-time known value (see Section Section 7.5) that is a non-negative integer. For example, the type varbit<120> denotes the type of bit-string values that may have between 0 and 120 bits. Most operations that are applicable to fixed-size bit-strings (unsigned numbers) cannot be performed on dynamically sized bit-strings. Note that varbit<W> type refers to both cases of varbit<W> and varbit<(expression)> where the width is a local compile-time known value.

P4 architectures may impose additional constraints on varbit types: for example, they may limit the maximum size, or they may require varbit values to always contain an integer number of bytes at runtime.

8.2.7.7.1. Operations

To support parsing headers with variable-length fields, P4 offers a type varbit. Each occurrence of the type varbit has a statically-declared maximum width, as well as a dynamic width, which must not exceed the static bound. Prior to initialization a variable-size bit-string has an unknown dynamic width.

Variable-length bit-strings support a limited set of operations:

  • Assignment to another variable-sized bit-string. The target of the assignment must have the same static width as the source. When executed, the assignment sets the dynamic width of the target to the dynamic width of the source.

  • Comparison for equality or inequality with another varbit field. Two varbit fields can be compared only if they have the same type. Two varbits are equal if they have the same dynamic width and all the bits up to the dynamic width are the same.

The following operations are not supported directly on a value of type varbit, but instead on any type for which extract and emit operations are supported (e.g. a value with type header) that may contain a field of type varbit. They are mentioned here only to ease finding this information in a section dedicated to type varbit.

  • Parser extraction into a header containing a variable-sized bit-string using the two-argument extract method of a packet_in extern object (see [sec-packet-extract-two]). This operation sets the dynamic width of the field.

  • The emit method of a packet_out extern object can be performed on a header and a few other types (see [sec-deparse]) that contain a field with type varbit. Such an emit method call inserts a variable-sized bit-string with a known dynamic width into the packet being constructed.

Additionally, the maximum size of a variable-length bit-string can be determined at compile-time ([sec-minsizeinbits]).

8.2.7.7.2. Type checking
Click to view the specification source
rulegroup Type_ok/variableBit:
  rule Type_ok/integer:
  p TC |- VARBIT `<n> : (VARBIT `<n>) # eps
  rule Type_ok/expression:
  p TC |- VARBIT `<`(expression)> : (VARBIT `<n>) # eps
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if LCTK = $ctk_of_typedExpressionIR(typedExpressionIR)
 -- Expr_eval_lctk: p TC |- typedExpressionIR ~> integerValue
 -- if n = $nat_of_integerValue(integerValue)
  1. If let VARBIT < int > be baseType:

    1. Check that int has type nat.

    2. Let n be int.

    3. Result in VARBIT < n > and fresh type variables ·.

  2. Else if let VARBIT < ( expression ) > be baseType:

    1. Let typedExpressionIR be

    2. Check that the compile-time known-ness of typedExpressionIR is LCTK.

    3. Let value be

    4. Check that value has type integerValue.

    5. Let integerValue be value.

    6. Let n be ! the natural number representation of integerValue.

    7. Result in VARBIT < n > and fresh type variables ·.

8.3. Named types

prefixedTypeName
   : typeName
   | `TID . typeName
   ;

specializedType
   : prefixedTypeName `< typeArgumentList >
   ;

namedType
   : prefixedTypeName
   | specializedType
   ;

Named types are types that reference another type by name. User-defined types can be introduced with their names. For example, the following declares a new struct type S:

struct S {
    bit<32> x;
    bit<32> y;
}

This type can then be referenced by its name, as can be seen in the parameter type of the following example:

void f(S s) {}

Here, S is a named type (typeName) that refers to the struct type defined earlier.

Types such as struct, header, and header union types can be generic. In order to use such a generic type it must be specialized with appropriate type arguments. For example,

// generic structure type
struct S<T> {
    T field;
    bool valid;
}

struct G<T> {
    S<T> s;
}

// specialize S by replacing 'T' with 'bit<32>'
const S<bit<32>> s = { field = 32w0, valid = false };
// Specialize G by replacing 'T' with 'bit<32>'
const G<bit<32>> g = { s = { field = 0, valid = false } };

// generic header type
header H<T> {
    T field;
}

// Specialize H by replacing 'T' with 'bit<8>'
const H<bit<8>> h = { field = 1 };
// Header stack produced from a specialization of a generic header type
H<bit<8>>[10] stack;

// Generic header union
header_union HU<T> {
    H<bit<32>> h32;
    H<bit<8>>  h8;
    H<T>       ht;
}

// Header union with a type obtained by specializing a generic header union type
HU<bit> hu;

To handle named types used as return types, the following production is also used:

identifier
   : `ID text
   ;

typeOrVoid
   : type
   | VOID
   | identifier
   ;

8.3.1. Type definitions (type constructors)

typeDeclaration
   : derivedTypeDeclaration
   | typedefDeclaration
   | parserTypeDeclaration
   | controlTypeDeclaration
   | packageTypeDeclaration
   ;

typeDeclaration introduces a user-defined type definition. These can be referenced by name. Generic type definitions can be specialized with type arguments to produce a type instance.

The internal representation of type definitions is as follows:

nameTypeDefIR = nameTypeIR

aliasTypeDefIR = aliasTypeIR

dataTypeDefIR
   : structTypeDefIR
   | headerTypeDefIR
   | headerUnionTypeDefIR
   | enumTypeDefIR
   ;

objectTypeDefIR
   : externObjectTypeDefIR
   | parserObjectTypeDefIR
   | controlObjectTypeDefIR
   | packageObjectTypeDefIR
   | tableObjectTypeDefIR
   ;

typeDefIR
   : nameTypeDefIR
   | aliasTypeDefIR
   | dataTypeDefIR
   | objectTypeDefIR
   ;

For example, structTypeDeclaration introduces a struct type definition, structTypeDefIR:

structTypeDefIR
   : STRUCT typeId `< typeParameterIR* > `{ fieldTypeIR* }
   ;

structTypeDeclaration
   : annotationList STRUCT name typeParameterListOpt `{ typeFieldList }
   ;

Some type definitions like struct and header type definitions can be polymorphic, meaning they can have type variables as parameters. On the other hand, type definitions such as enum and type alias definitions can only be monomorphic. Below table summarizes which kinds of type definitions can be polymorphic:

8.3.2. Type resoultion

Notice that P4 has struct types, but the surface syntax does not have an explicit construct for struct types. Instead, struct types are always referenced by name. To easily handle named types in P4IR, the internal representation of types contain representations for the referred types.

structTypeIR
   : STRUCT typeId `< typeArgumentIR* > `{ fieldTypeIR* }
   ;

For example, a struct type is represented as structTypeIR in P4IR. Thus, after type checking, a named type in P416 is resolved to its referred type in P4IR. For named types referring to monomorphic type definitions, the resolved type is simply the type defined by the type definition.

enum E_t { A, B, C; }
void f(E_t e) {}

In the above example, the named type E_t is resolved to the enum type enumTypeIR.

struct S<T> { T t; }
void f(S<bit<32>> s) {}

In the above example, the named type S<bit<32>> is resolved to a structTypeIR, where it specializes a structTypeDefIR with the type argument bit<32>. Type specialization is discussed in detail in the next section.

8.3.3. Type specialization

Click to view the specification source
def $specialize_typeDefIR(typeDefIR_base, typeArgumentIR*) = typeIR_spec
 -- if (typeParameterIR_expl*, typeParameterIR_impl*) = $typeParameterListIR_of_typeDefIR(typeDefIR_base)
 -- if typeParameterIR* = typeParameterIR_expl* ++ typeParameterIR_impl*
 -- if |typeParameterIR*| = |typeArgumentIR*|
 -- if theta = `{(typeParameterIR : typeArgumentIR)*}
 -- if typeIR_base = $typeIR_of_typeDefIR(typeDefIR_base)
 -- if typeIR_spec = $subst_typeIR(theta, typeIR_base)
  1. Let ( typeParameterIRexpl*, typeParameterIRimpl* ) be the type parameters of typeDefIRbase.

  2. Let typeParameterIR* be typeParameterIRexpl* concatenated with typeParameterIRimpl*.

  3. Check that the length of typeParameterIR* is equal to the length of typeArgumentIR*.

  4. Let theta be { ( typeParameterIR : typeArgumentIR )* }.

  5. Let typeIRbase be the underlying type of typeDefIRbase.

  6. Let typeIRspec be typeIRbase substituted by theta.

  7. Return typeIRspec.

8.3.4. Type names

prefixedTypeName
   : typeName
   | `TID . typeName
   ;

identifier
   : `ID text
   ;

A prefixedTypeName and identifier may refer to either a monomorphic type definition or a polymorphic type definition without type arguments. The names can be prefixed by a dot (.) to refer to the top-level namespace.

On type checking, the referenced type definition is looked up by name. If the referenced type definition is monomorphic, then the resolved type is simply the type defined by the type definition. If the referenced type definition is polymorphic (but without type arguments), then the resolved type is a specialized type with no type arguments.

In some cases, the reference may be a type parameter. In other words, the type is indeed a variable type, not a concrete type until it is bound to a type argument. These are internally represented as:

nameTypeDefIR = nameTypeIR
8.3.4.1. Operations

Because functions and methods can be generic, they offer the possibility of declaring values with types that are type variables:

void f<T>() {
   T x; // the type of x is T, a type variable
}

The type of such objects is not known until the function is specialized with specific type arguments.

Currently the only operations that are available for such values are assignment (explicit through =, or implicit, through argument passing). This behavior is similar to languages such as Java, and different from languages such as C++.

A future version of P4 may introduce a notion of type constraints which would enable more operations on such values. Because of this limitation, such values are currently of limited utility.

8.3.4.2. Type checking
Click to view the specification source
rulegroup Type_ok/prefixedTypeName-identifier:
  rule Type_ok/identifier:
  p TC |- `ID typeId : typeIR # typeId_fresh*
 -- Type_ok: p TC |- `TID typeId : typeIR # typeId_fresh*
  rule Type_ok/monomorphic:
  p TC |- prefixedTypeName : typeIR # eps
 -- if prefixedNameIR = $prefixedTypeName(prefixedTypeName)
 -- if typeDefIR = $find_typeDef_t(p, TC, prefixedNameIR)
 -- if $is_monomorphic_typeDefIR(typeDefIR)
 -- if typeIR = $typeIR_of_typeDefIR(typeDefIR)
  rule Type_ok/polymorphic:
  p TC |- prefixedTypeName : typeIR # eps
 -- if prefixedNameIR = $prefixedTypeName(prefixedTypeName)
 -- if typeDefIR = $find_typeDef_t(p, TC, prefixedNameIR)
 -- if ~$is_monomorphic_typeDefIR(typeDefIR)
 -- if typeIR = $specialize_typeDefIR(typeDefIR, eps)
  1. If let `ID typeId be typeOrVoid:

    1. Let typeIR and fresh type variables typeIdfresh* be

    2. Result in typeIR and fresh type variables typeIdfresh*.

  2. Else if let prefixedTypeName be typeOrVoid:

    1. Let prefixedNameIR be the prefixed name of prefixedTypeName.

    2. Let typeDefIR' be ! the type definition of prefixedNameIR from the p layer of TC.

    3. If typeDefIR' is monomorphic:

      1. Let typeIR be the underlying type of typeDefIR'.

      2. Result in typeIR and fresh type variables ·.

    4. Else:

      1. Let typeIR be typeDefIR' specialized by ·.

      2. Result in typeIR and fresh type variables ·.

8.3.5. Specialized types

A generic type may be specialized by specifying arguments for its type variables. In cases where the compiler can infer type arguments, type specialization is not necessary. When a type is specialized, all its type variables must be bound.

specializedType
   : prefixedTypeName `< typeArgumentList >
   ;

For example, the following extern declaration describes a generic block of registers, where the type of the elements stored in each register is an arbitrary T.

extern Register<T> {
    Register(bit<32> size);
    T read(bit<32> index);
    void write(bit<32> index, T value);
}

The type T has to be specified when instantiating a set of registers, by specializing the Register type:

Register<bit<32>>(128) registerBank;

The instantiation of registerBank is made using the Register type specialized with the bit<32> bound to the T type argument.

8.3.5.1. Type checking
Click to view the specification source
rulegroup Type_ok/specializedType:
  rule Type_ok/specializedType:
  p TC |- prefixedTypeName `<typeArgumentList> : typeIR # typeId_fresh*
 -- if prefixedNameIR = $prefixedTypeName(prefixedTypeName)
 -- if typeDefIR = $find_typeDef_t(p, TC, prefixedNameIR)
 -- if $is_polymorphic_typeDefIR(typeDefIR)
 -- TypeArgumentList_ok: p TC |- typeArgumentList : typeIR_arg* # typeId_fresh*
 -- if typeIR = $specialize_typeDefIR(typeDefIR, typeIR_arg*)
  1. Let prefixedNameIR be the prefixed name of prefixedTypeName.

  2. Let typeDefIR' be ! the type definition of prefixedNameIR from the p layer of TC.

  3. Check that typeDefIR' is polymorphic.

  4. Let typeIRarg* and fresh type variables typeIdfresh* be

  5. Let typeIR be typeDefIR' specialized by typeIRarg*.

  6. Result in typeIR and fresh type variables typeIdfresh*.

8.4. Data types and values

dataTypeIR
   : listTypeIR
   | tupleTypeIR
   | headerStackTypeIR
   | structTypeIR
   | headerTypeIR
   | headerUnionTypeIR
   | enumTypeIR
   ;

dataValue
   : listValue
   | tupleValue
   | headerStackValue
   | structValue
   | headerValue
   | headerUnionValue
   | enumValue
   ;

Data types represent the types that aggregate other types, including lists, tuples, header stacks, structs, headers, header unions, and enums.

8.4.1. Lists

A list holds zero or more values, where every element must have the same type. The type of a list where all elements have type T is written as

list<T>
listType
   : LIST `< typeArgument >
   ;

Internally, list types and values are represented as follows:

listTypeIR
   : LIST `< typeIR >
   ;

listValue
   : LIST `[ value* ]
   ;
8.4.1.1. Operations

The value of a list is written using curly braces, with each element separated by a comma. The left curly brace is preceded by a (list<T>) where T is the list element type. Such a value can be passed as an argument, e.g. to extern constructor functions.

struct pair_t {
    bit<16> a;
    bit<32> b;
}

extern E {
    E(list<pair_t> data);
    void run();
}

control c() {
    E((list<pair_t>) {{2, 3}, {4, 5}}) e;
    apply {
        e.run();
    }
}

Additionally, the size of a list can be determined at compile-time ([sec-minsizeinbits]).

8.4.1.2. Type checking
Click to view the specification source
rulegroup Type_ok/listType:
  rule Type_ok/listType:
  p TC |- LIST `<typeArgument> : (LIST `<typeIR_arg>) # typeId_fresh*
 -- TypeArgument_ok: p TC |- typeArgument : typeIR_arg # typeId_fresh*
  1. Let typeIRarg and fresh type variables typeIdfresh* be

  2. Result in LIST < typeIRarg > and fresh type variables typeIdfresh*.

8.4.1.3. Well-formedness
Click to view the specification source
rulegroup Type_wf/listTypeIR:
  rule Type_wf/listTypeIR:
  B |- LIST `<typeIR>
 -- if $nestable_list(typeIR)
 -- Type_wf: B |- typeIR

8.4.2. Tuples

A tuple is similar to a struct, in that it holds multiple values. The type of tuples with n component types T1, …​, Tn is written as

tuple<T1, /* more fields omitted */, Tn>

The type tuple<> is a tuple type with no components.

tupleType
   : TUPLE `< typeArgumentList >
   ;

Internally, tuple types and values are represented as follows:

tupleTypeIR
   : TUPLE `< typeIR* >
   ;

tupleValue
   : TUPLE `( value* )
   ;
8.4.2.1. Operations

The fields of a tuple can be accessed using array index syntax x[0], x[1]. The indexes must be local compile-time known values, to enable the type-checker to identify the field types statically.

Tuples can be compared for equality using == and !=; two tuples are equal if and only if all their fields are respectively equal.

Currently tuple fields are not left-values, even if the tuple itself is. (i.e., a tuple can only be assigned monolithically, and the field values cannot be changed individually.) This restriction may be lifted in a future version of the language.

8.4.2.2. Type checking
Click to view the specification source
rulegroup Type_ok/tupleType:
  rule Type_ok/tupleType:
  p TC |- TUPLE `<typeArgumentList> : (TUPLE `<typeIR_arg*>) # typeId_fresh*
 -- TypeArgumentList_ok: p TC |- typeArgumentList : typeIR_arg* # typeId_fresh*
  1. Let typeIRarg* and fresh type variables typeIdfresh* be

  2. Result in TUPLE < typeIRarg* > and fresh type variables typeIdfresh*.

8.4.2.3. Well-formedness
Click to view the specification source
rulegroup Type_wf/tupleTypeIR:
  rule Type_wf/tupleTypeIR:
  B |- TUPLE `<typeIR*>
 -- (if $nestable_tuple(typeIR))*
 -- (Type_wf: B |- typeIR)*
  1. Check that typeIR' can be nested in a tuple type, for all typeIR' in typeIR'*.

  2. Check that typeIR' is a well-formed type, with bound type variables B, for all typeIR' in typeIR'*.

  3. Then, the relation holds.

8.4.3. Header stacks

A header stack represents an array of headers or header unions. A header stack type is defined as:

headerStackType
   : namedType `[ expression ]
   ;

where namedType refers to a header or header union type. For a header stack hs[n], the term n is the maximum defined size, and must be a local compile-time known value that is a positive integer. Nested header stacks are not supported.

Internally, header stack types and values are represented as follows:

headerStackTypeIR
   : typeIR `[ nat ]
   ;

headerStackValue
   : HEADER_STACK `[ value* `( nat ; nat ) ]
   ;

At runtime a stack contains n values with type namedType, only some of which may be valid. The valid elements of a header stack need not be contiguous.

For example, the following declarations,

header Mpls_h {
    bit<20> label;
    bit<3>  tc;
    bit     bos;
    bit<8>  ttl;
}
Mpls_h[10] mpls;

introduce a header stack called mpls containing ten entries, each of type Mpls_h.

8.4.3.1. Operations

P4 provides a set of computations for manipulating header stacks. A header stack hs of type h[n] can be understood in terms of the following pseudocode:

// type declaration
struct hs_t {
  bit<32> nextIndex;
  bit<32> size;
  h[n] data;  // Ordinary array
}

// instance declaration and initialization
hs_t hs;
hs.nextIndex = 0;
hs.size = n;

Intuitively, a header stack can be thought of as a struct containing an ordinary array of headers hs and a counter nextIndex that can be used to simplify the construction of parsers for header stacks, as discussed below. The nextIndex counter is initialized to 0.

Given a header stack value hs of size n, the following expressions are legal:

  • hs[index]: produces a reference to the header at the specified position within the stack; if hs is an l-value, the result is also an l-value. The header may be invalid. Some implementations may impose the constraint that the index expression must be a compile-time known value. A P4 compiler must give an error if an index that is a compile-time known value is out of range.

    Accessing a header stack hs with an index less than 0 or greater than or equal to hs.size results in an undefined value. See [sec-uninitialized-values-and-writing-invalid-headers] for more details.

    The index is an expression that must be of numeric types ([sec-numeric-values]).

  • hs.size: produces a 32-bit unsigned integer that returns the size of the header stack (a local compile-time known value).

  • assignment from a header stack hs into another stack requires the stacks to have the same types and sizes. All components of hs are copied, including its elements and their validity bits, as well as nextIndex.

To help programmers write parsers for header stacks, P4 also offers computations that automatically advance through the stack as elements are parsed:

  • hs.next: produces a reference to the element with index hs.nextIndex in the stack. May only be used in a parser. If the stack’s nextIndex counter is greater than or equal to size, then evaluating this expression results in a transition to reject and sets the error to error.StackOutOfBounds. If hs is an l-value, then hs.next is also an l-value.

  • hs.last: produces a reference to the element with index hs.nextIndex - 1 in the stack, if such an element exists. May only be used in a parser. If the nextIndex counter is less than 1, or greater than size, then evaluating this expression results in a transition to reject and sets the error to error.StackOutOfBounds. Unlike hs.next, the resulting reference is never an l-value.

  • hs.lastIndex: produces a 32-bit unsigned integer that encodes the index hs.nextIndex - 1. May only be used in a parser. If the nextIndex counter is 0, then evaluating this expression produces an undefined value.

Finally, P4 offers the following computations that can be used to manipulate the elements at the front and back of the stack:

  • hs.push_front(int count): shifts hs "right" by count. The first count elements become invalid. The last count elements in the stack are discarded. The hs.nextIndex counter is incremented by count. The count argument must be a compile-time known value that is a positive integer. The return type is void.

  • hs.pop_front(int count): shifts hs "left" by count (i.e., element with index count is copied in stack at index 0). The last count elements become invalid. The hs.nextIndex counter is decremented by count. The count argument must be a compile-time known value that is a positive integer. The return type is void.

The following pseudocode defines the behavior of push_front and pop_front:

void push_front(int count) {
    for (int i = this.size-1; i >= 0; i -= 1) {
        if (i >= count) {
            this[i] = this[i-count];
        } else {
            this[i].setInvalid();
        }
    }
    this.nextIndex = this.nextIndex + count;
    if (this.nextIndex > this.size) this.nextIndex = this.size;
    // Note: this.last, this.next, and this.lastIndex adjust with this.nextIndex
}

void pop_front(int count) {
    for (int i = 0; i < this.size; i++) {
        if (i+count < this.size) {
            this[i] = this[i+count];
        } else {
            this[i].setInvalid();
        }
    }
    if (this.nextIndex >= count) {
        this.nextIndex = this.nextIndex - count;
    } else {
        this.nextIndex = 0;
    }
    // Note: this.last, this.next, and this.lastIndex adjust with this.nextIndex
}

Similar to structs and headers, the size of a header stack is a compile-time known value (Section [sec-minsizeinbits]).

Two header stacks can be compared for equality (==) or inequality (!=) only if they have the same element type and the same length. Two stacks are equal if and only if all their corresponding elements are equal. Note that the nextIndex value is not used in the equality comparison.

8.4.3.2. Type checking
Click to view the specification source
rulegroup Type_ok/headerStackType:
  rule Type_ok/headerStackType:
  p TC |- namedType `[expression_size] : (typeIR_base `[n_size]) # typeId_fresh*
 -- Type_ok: p TC |- namedType : typeIR_base # typeId_fresh*
 -- Expr_ok: p TC |- expression_size : typedExpressionIR_size
 -- if LCTK = $ctk_of_typedExpressionIR(typedExpressionIR_size)
 -- Expr_eval_lctk: p TC |- typedExpressionIR_size ~> integerValue_size
 -- if n_size = $nat_of_integerValue(integerValue_size)
 -- if n_size > 0
  1. Let typeIRbase and fresh type variables typeIdfresh* be

  2. Let typedExpressionIRsize be

  3. Check that the compile-time known-ness of typedExpressionIRsize is LCTK.

  4. Let value be

  5. Check that value has type integerValue.

  6. Let integerValuesize be value.

  7. Let nsize be ! the natural number representation of integerValuesize.

  8. Check that nsize is greater than 0.

  9. Result in typeIRbase [ nsize ] and fresh type variables typeIdfresh*.

8.4.3.3. Well-formedness
Click to view the specification source
rulegroup Type_wf/headerStackTypeIR:
  rule Type_wf/headerStackTypeIR:
  B |- typeIR `[_]
 -- if $nestable_headerStack(typeIR)
 -- Type_wf: B |- typeIR

8.4.4. Arrays

8.4.5. Structs

P4 struct types are defined with the following syntax:

typeField
   : annotationList type name ;
   ;

structTypeDeclaration
   : annotationList STRUCT name typeParameterListOpt `{ typeFieldList }
   ;

This declaration introduces a new struct type definition with the specified name in the current scope. Field names have to be distinct. An empty struct (with no fields) is legal.

structTypeDefIR
   : STRUCT typeId `< typeParameterIR* > `{ fieldTypeIR* }
   ;

For example, the structure Parsed_headers below contains the headers recognized by a simple parser:

header Tcp_h { /* fields omitted */ }
header Udp_h { /* fields omitted */ }
struct Parsed_headers {
    Ethernet_h ethernet;
    Ip_h       ip;
    Tcp_h      tcp;
    Udp_h      udp;
}

Struct types can be used by referring to their names. Generic struct types can be used by specializing their type parameters with type arguments. Internally, struct types and values are represented as follows:

fieldTypeIR
   : annotationList typeIR nameIR ;
   ;

structTypeIR
   : STRUCT typeId `< typeArgumentIR* > `{ fieldTypeIR* }
   ;

fieldValue
   : value nameIR ;
   ;

structValue
   : STRUCT typeId `{ fieldValue* }
   ;
8.4.5.1. Operations

The only operation defined on expressions whose type is a struct is field access, written using dot (".") notation—​e.g., s.field. If s is an l-value, then s.field is also an l-value. P4 also allows copying structs using assignment when the source and target of the assignment have the same type. Finally, structs can be initialized with a sequence expression, as discussed in Section 8.6.3, or with a record expression, as described in Section 8.6.4. Both of these cases must initialize all fields of the structure. The size of a struct can be determined at compile-time ([sec-minsizeinbits]).

Two structs can be compared for equality (==) or inequality (!=) only if they have the same type and all of their fields can be recursively compared for equality. Two structures are equal if and only if all their corresponding fields are equal.

The following example shows a structure initialized in several different ways:

struct S {
    bit<32> a;
    bit<32> b;
}
const S x = { 10, 20 };             // sequence expression
const S x = { a = 10, b = 20 };     // record expression
const S x = (S) { a = 10, b = 20 }; // record expression

See [sec-uninitialized-values-and-writing-invalid-headers] for a description of the behavior if struct fields are read without being initialized.

8.4.5.2. Type checking

Struct types are introduced by struct declarations. Its typing rule is explained in Section 11.14. Struct types are then used by referencing their names. Thus struct types can be obtained from named types, as illustrated in Section 8.3.

8.4.5.3. Well-formedness
Click to view the specification source
rulegroup Type_wf/structTypeIR:
  rule Type_wf/structTypeIR:
  B |- STRUCT _ `<_> `{(_ typeIR_field nameIR_field ;)*}
 -- if $distinct_<nameIR>(nameIR_field*)
 -- (if $nestable_struct(typeIR_field))*
 -- (Type_wf: B |- typeIR_field)*

8.4.6. Headers

The declaration of a header type is given by the following syntax:

typeField
   : annotationList type name ;
   ;

headerTypeDeclaration
   : annotationList HEADER name typeParameterListOpt `{ typeFieldList }
   ;

where each type is restricted to a bit-string type (fixed or variable), a fixed-width signed integer type, a boolean type, or a struct that itself contains other struct fields, nested arbitrarily, as long as all of the "leaf" types are bit<W>, int<W>, a serializable enum, or a bool. If a bool is used inside a P4 header, all implementations encode the bool as a one bit long field, with the value 1 representing true and 0 representing false. Field names have to be distinct.

A header declaration introduces a new identifier in the current scope; the type definition can be referred to using this identifier.

headerTypeDefIR
   : HEADER typeId `< typeParameterIR* > `{ fieldTypeIR* }
   ;

A header is similar to a struct in C, containing all the specified fields. However, in addition, a header also contains a hidden Boolean "validity" field. When the "validity" bit is true we say that the "header is valid". When a local variable with a header type is declared, its "validity" bit is automatically set to false. The "validity" bit can be manipulated by using the header methods isValid(), setValid(), and setInvalid().

Header types may be empty:

header Empty_h { }

Note that an empty header still contains a validity bit.

When a struct is inside of a header, the order of the fields for the purposes of extract and emit calls is the order of the fields as defined in the source code. An example of a header including a struct is included below.

struct ipv6_addr {
    bit<32> Addr0;
    bit<32> Addr1;
    bit<32> Addr2;
    bit<32> Addr3;
}

header ipv6_t {
    bit<4>    version;
    bit<8>    trafficClass;
    bit<20>   flowLabel;
    bit<16>   payloadLen;
    bit<8>    nextHdr;
    bit<8>    hopLimit;
    ipv6_addr src;
    ipv6_addr dst;
}

Headers that do not contain any varbit field are fixed size. Headers containing varbit fields have variable size. The size (in bits) of a fixed-size header is simply the sum of the sizes of all component fields (without counting the validity bit). There is no padding or alignment of the header fields. Targets may impose additional constraints on header types—​e.g., restricting headers to sizes that are an integer number of bytes.

For example, the following declaration describes a typical Ethernet header:

header Ethernet_h {
   bit<48> dstAddr;
   bit<48> srcAddr;
   bit<16> etherType;
}

The following variable declaration uses the newly introduced type Ethernet_h:

Ethernet_h ethernetHeader;

P4’s parser language provides an extract method that can be used to "fill in" the fields of a header from a network packet, as described in [sec-packet-data-extraction]. The successful execution of an extract operation also sets the validity bit of the extracted header to true.

Here is an example of an IPv4 header with variable-sized options:

header IPv4_h {
   bit<4>       version;
   bit<4>       ihl;
   bit<8>       diffserv;
   bit<16>      totalLen;
   bit<16>      identification;
   bit<3>       flags;
   bit<13>      fragOffset;
   bit<8>       ttl;
   bit<8>       protocol;
   bit<16>      hdrChecksum;
   bit<32>      srcAddr;
   bit<32>      dstAddr;
   varbit<320>  options;
}

As demonstrated by a code example in [sec-packet-extract-two], another way to support headers that contain variable-length fields is to define two headers — one fixed length, one containing a varbit field — and extract each part in separate parsing steps.

Notice that the names isValid, setValid, minSizeInBits, etc. are all valid header field names.

Internally, header types and values are represented as follows:

headerTypeIR
   : HEADER typeId `< typeArgumentIR* > `{ fieldTypeIR* }
   ;

headerValue
   : HEADER typeId `{ bool ; fieldValue* }
   ;
8.4.6.1. Operations

Headers provide the same operations as structs. Assignment between headers also copies the "validity" header bit.

In addition, headers support the following methods:

  • The method isValid() returns the value of the "validity" bit of the header.

  • The method setValid() sets the header’s validity bit to "true". It can only be applied to an l-value.

  • The method setInvalid() sets the header’s validity bit to "false". It can only be applied to an l-value.

Similar to a struct, a header object can be initialized with a sequence expression (see Section 8.6.3) — the sequence elements are assigned to the header fields in the order they appear — or with a record expression (see Section 8.6.4). When initialized the header automatically becomes valid:

header H { bit<32> x; bit<32> y; }
H h;
h = { 10, 12 };  // This also makes the header h valid
h = { y = 12, x = 10 };  // Same effect as above

Two headers can be compared for equality (==) or inequality (!=) only if they have the same type. Two headers are equal if and only if they are both invalid, or they are both valid and all their corresponding fields are equal. Furthermore, the size of a header can be determined at compile-time ([sec-minsizeinbits]).

See [sec-uninitialized-values-and-writing-invalid-headers] for a description of the behavior if header fields are read without being initialized, or header fields are written to a currently invalid header.

8.4.6.2. Type checking

Header types are introduced by header declarations. Its typing rule is explained in Section 11.15. Header types are then used by referencing their names. Thus header types can be obtained from named types, as illustrated in Section 8.3.

8.4.6.3. Well-formedness
Click to view the specification source
rulegroup Type_wf/headerTypeIR:
  rule Type_wf/headerTypeIR:
  B |- HEADER _ `<_> `{(_ typeIR_field nameIR_field ;)*}
 -- if $distinct_<nameIR>(nameIR_field*)
 -- (if $nestable_header(typeIR_field))*
 -- (Type_wf: B |- typeIR_field)*

8.4.7. Header unions

A header union represents an alternative containing at most one of several different headers. Header unions can be used to represent "options" in protocols like TCP and IP. They also provide hints to P4 compilers that only one alternative will be present, allowing them to conserve storage resources.

A header union is defined as:

typeField
   : annotationList type name ;
   ;

headerUnionTypeDeclaration
   : annotationList HEADER_UNION name typeParameterListOpt `{ typeFieldList }
   ;

This declaration introduces a new type definition with the specified name in the current scope.

headerUnionTypeDefIR
   : HEADER_UNION typeId `< typeParameterIR* > `{ fieldTypeIR* }
   ;

Each element of the list of fields used to declare a header union must be of header type. An empty list of fields is legal. Field names have to be distinct.

As an example, the type Ip_h below represents the union of an IPv4 and IPv6 headers:

header_union IP_h {
  IPv4_h v4;
  IPv6_h v6;
}

A header union is not considered a type with fixed length.

Internally, header union types and values are represented as follows:

headerUnionTypeIR
   : HEADER_UNION typeId `< typeArgumentIR* > `{ fieldTypeIR* }
   ;

headerUnionValue
   : HEADER_UNION typeId `{ fieldValue* }
   ;
8.4.7.1. Operations

A variable declared with a union type is initially invalid. For example:

header H1 {
  bit<8> f;
}
header H2 {
  bit<16> g;
}
header_union U {
  H1 h1;
  H2 h2;
}

U u; // u invalid

This also implies that each of the headers h1 through hn contained in a header union are also initially invalid. Unlike headers, a union cannot be initialized. However, the validity of a header union can be updated by assigning a valid header to one of its elements:

U u;
H1 my_h1 = { 8w0 }; // my_h1 is valid
u.h1 = my_h1;       // u and u.h1 are both valid

We can also assign a sequence to an element of a header union,

U u;
u.h2 = { 16w1 };     // u and u.h2 are both valid

or set their validity bits directly.

U u;
u.h1.setValid();     // u and u.h1 are both valid
H1 my_h1 = u.h1;     // my_h1 is now valid, but contains an undefined value

Note that reading an uninitialized header produces an undefined value, even if the header is itself valid.

If u is an expression whose type is a header union U with fields ranged over by hi, then the expression u.hi evaluates to a header, and thus it can be used wherever a header expression is allowed. If u is a left-value, then u.hi is also a left-value.

The following operations:

  • u.hi.setValid(): sets the valid bit for header hi to true and sets the valid bit for all other headers to false, which implies that it is unspecified what value reading any member header of u will return.

  • u.hi.setInvalid(): if the valid bit for any member header of u is true then sets it to false, which implies that it is unspecified what value reading any member header of u will return.

The assignment to a union field:

u.hi = e;

has the following meaning:

  • if e is valid, then it is equivalent to:

  u.hi.setValid();
  u.hi = e;
  • if e is invalid, then it is equivalent to:

  u.hi.setInvalid();

Assignments between variables of the same type of header union are permitted. The assignment u1 = u2 copies the full state of header union u2 to u1. If u2 is valid, then there is some header u2.hi that is valid. The assignment behaves the same as u1.hi = u2.hi. If u2 is not valid, then u1 becomes invalid (i.e. if any header of u1 was valid, it becomes invalid).

u.isValid() returns true if any member of the header union u is valid, otherwise it returns false. setValid() and setInvalid() methods are not defined for header unions.

Supplying an expression with a union type to emit simply emits the single header that is valid, if any.

The following example shows how we can use header unions to represent IPv4 and IPv6 headers uniformly:

header_union IP {
    IPv4 ipv4;
    IPv6 ipv6;
}

struct Parsed_packet {
   Ethernet ethernet;
   IP ip;
}

parser top(packet_in b, out Parsed_packet p) {
    state start {
       b.extract(p.ethernet);
       transition select(p.ethernet.etherType) {
           16w0x0800 : parse_ipv4;
           16w0x86DD : parse_ipv6;
       }
   }
   state parse_ipv4 {
       b.extract(p.ip.ipv4);
       transition accept;
   }
   state parse_ipv6 {
       b.extract(p.ip.ipv6);
       transition accept;
   }
}

As another example, we can also use unions to parse (selected) TCP options:

header Tcp_option_end_h {
    bit<8> kind;
}
header Tcp_option_nop_h {
    bit<8> kind;
}
header Tcp_option_ss_h {
    bit<8>  kind;
    bit<32> maxSegmentSize;
}
header Tcp_option_s_h {
    bit<8>  kind;
    bit<24> scale;
}
header Tcp_option_sack_h {
    bit<8>         kind;
    bit<8>         length;
    varbit<256>    sack;
}
header_union Tcp_option_h {
    Tcp_option_end_h  end;
    Tcp_option_nop_h  nop;
    Tcp_option_ss_h   ss;
    Tcp_option_s_h    s;
    Tcp_option_sack_h sack;
}

typedef Tcp_option_h[10] Tcp_option_stack;

struct Tcp_option_sack_top {
    bit<8> kind;
    bit<8> length;
}

parser Tcp_option_parser(packet_in b, out Tcp_option_stack vec) {
    state start {
        transition select(b.lookahead<bit<8>>()) {
            8w0x0 : parse_tcp_option_end;
            8w0x1 : parse_tcp_option_nop;
            8w0x2 : parse_tcp_option_ss;
            8w0x3 : parse_tcp_option_s;
            8w0x5 : parse_tcp_option_sack;
        }
    }
    state parse_tcp_option_end {
        b.extract(vec.next.end);
        transition accept;
    }
    state parse_tcp_option_nop {
         b.extract(vec.next.nop);
         transition start;
    }
    state parse_tcp_option_ss {
         b.extract(vec.next.ss);
         transition start;
    }
    state parse_tcp_option_s {
         b.extract(vec.next.s);
         transition start;
    }
    state parse_tcp_option_sack {
         bit<8> n = b.lookahead<Tcp_option_sack_top>().length;
         // n is the total length of the TCP SACK option in bytes.
         // The length of the varbit field 'sack' of the
         // Tcp_option_sack_h header is thus n-2 bytes.
         b.extract(vec.next.sack, (bit<32>) (8 * n - 16));
         transition start;
    }
}

Similar to headers, the size of a header union is a local compile-time known value (Section [sec-minsizeinbits]).

Two header unions can be compared for equality (==) or inequality (!=) if they have the same type. The unions are equal if and only if all their corresponding fields are equal (i.e., either all fields are invalid in both unions, or in both unions the same field is valid, and the values of the valid fields are equal as headers).

8.4.7.2. Type checking

Header union types are introduced by header_union declarations. Its typing rule is explained in Section 11.16. Header union types are then used by referencing their names. Thus header union types can be obtained from named types, as illustrated in Section 8.3.

8.4.7.3. Well-formedness
Click to view the specification source
rulegroup Type_wf/headerUnionTypeIR:
  rule Type_wf/headerUnionTypeIR:
  B |- HEADER_UNION _ `<_> `{(_ typeIR_field nameIR_field ;)*}
 -- if $distinct_<nameIR>(nameIR_field*)
 -- (if $nestable_headerUnion(typeIR_field))*
 -- (Type_wf: B |- typeIR_field)*

8.4.8. Enums

An enumeration type is defined using the following syntax:

namedExpression
   : name = expression
   ;

namedExpressionList
   : namedExpression
   | namedExpressionList , namedExpression
   ;

enumTypeDeclaration
   : annotationList ENUM name `{ nameList trailingCommaOpt }
   | annotationList ENUM type name `{ namedExpressionList trailingCommaOpt }
   ;

An enum declaration introduces a new enum type definition:

enumTypeDefIR = enumTypeIR

Enums cannot be parameterized over type parameters, thus is always monomorphic.

Enums can be declared in two different ways, depending on whether or not an underlying representation type is provided. The two forms are described below.

Internally, enum types and values are represented as follows:

valueFieldIR
   : nameIR = value ;
   ;

enumTypeIR
   : simpleEnumTypeIR
   | serializableEnumTypeIR
   ;

enumValue
   : typeId . nameIR
   | typeId . nameIR . value
   ;
8.4.8.1. Enum type declaration without an underlying type

For example, the declaration

enum Suits { Clubs, Diamonds, Hearths, Spades }

introduces a new enumeration type, which contains four elements—​e.g., Suits.Clubs. An enum declaration introduces a new identifier in the current scope for naming the created type along with its distinct elements. The underlying representation of the Suits enum is not specified, so their "size" in bits is not specified (it is target-specific).

8.4.8.2. Enum type declaration with an underlying type

It is also possible to specify an enum with an underlying representation. These are sometimes called serializable enums, because headers are allowed to have fields with such enum types. This requires the programmer provide both the fixed-width unsigned (or signed) integer type and an associated integer value for each symbolic entry in the enumeration.

For example, the declaration

enum bit<16> EtherType {
  VLAN      = 0x8100,
  QINQ      = 0x9100,
  MPLS      = 0x8847,
  IPV4      = 0x0800,
  IPV6      = 0x86dd
}

introduces a new enumeration type, which contains five elements—​e.g., EtherType.IPV4. This enum declaration specifies the fixed-width unsigned integer representation for each entry in the enum and provides an underlying type: bit<16>. This kind of enum declaration can be thought of as declaring a new bit<16> type, where variables or fields of this type are expected to be unsigned 16-bit integer values, and the mapping of symbolic to numeric values defined by the enum are also defined as a part of this declaration. In this way, an enum with an underlying type can be thought of as being a type derived from the underlying type carrying equality, assignment, and casts to/from the underlying type.

Compiler implementations are expected to raise an error if the fixed-width integer representation for an enumeration entry falls outside the representation range of the underlying type.

For example, the declaration

enum bit<8> FailingExample {
  first           = 1,
  second          = 2,
  third           = 3,
  unrepresentable = 300
}

would raise an error because 300, the value associated with FailingExample.unrepresentable cannot be represented as a bit<8> value.

The initializer expression must be a local compile-time known value.

Annotations, represented by the non-terminal annotationList, are described in [sec-annotations].

8.4.8.3. Operations

Symbolic names declared by an enum belong to the namespace introduced by the enum declaration rather than the top-level namespace.

enum X { v1, v2, v3 }
X.v1  // reference to v1
v1    // error - v1 is not in the top-level namespace

Similar to errors, enum expressions without a specified underlying type only support equality (==) and inequality (!=) comparisons. Expressions whose type is an enum without a specified underlying type cannot be cast to or from any other type.

An enum may also specify an underlying type, such as the following:

enum bit<8> E {
  e1 = 0,
  e2 = 1,
  e3 = 2
}

More than one symbolic value in an enum may map to the same fixed-width integer value.

enum bit<8> NonUnique {
  b1 = 0,
  b2 = 1,  // Note, both b2 and b3 map to the same value.
  b3 = 1,
  b4 = 2
}

An enum with an underlying type also supports explicit casts to and from the underlying type. For instance, the following code:

bit<8> x;
E a = E.e2;
E b;

x = (bit<8>) a; // sets x to 1
b = (E) x;      // sets b to E.e2

casts a (which was initialized with E.e2) to a bit<8>, using the specified fixed-width unsigned integer representation for E.e2, i.e. 1. The variable b is then set to the symbolic value E.e2, which corresponds to the fixed-width unsigned integer value 1.

Because it is always safe to cast from an enum to its underlying fixed-width integer type, implicit casting from an enum to its fixed-width (signed or unsigned) integer type is also supported (see Section 17.2):

bit<8> x = E.e2; // sets x to 1 (E.e2 is automatically casted to bit<8>)

E  a = E.e2
bit<8> y = a << 3; // sets y to 8 (a is automatically casted to bit<8> and then shifted)

Implicit casting from an underlying fixed-width type to an enum is not supported.

enum bit<8> E1 {
   e1 = 0, e2 = 1, e3 = 2
}

enum bit<8> E2 {
   e1 = 10, e2 = 11, e3 = 12
}
E1 a = E1.e1;
E2 b = E2.e2;

a = b;      // Error: b is automatically casted to bit<8>,
            // but bit<8> cannot be automatically casted to E1

a = (E1) b; // OK

a = E1.e1 + 1; // Error: E.e1 is automatically casted to bit<8>,
               // and the right-hand expression has
               // the type bit<8>, which cannot be casted to E automatically.

a = (E1)(E1.e1 + 1); // Final explicit casting makes the assignment legal

a = E1.e1 + E1.e2; // Error: both arguments to the addition are automatically
                   // casted to bit<8>. Thus the addition itself is legal, but
                   // the assignment is not

a = (E1)(E2.e1 + E2.e2); //  Final explicit casting makes the assignment legal

A reasonable compiler might generate a warning in cases that involve multiple automatic casts.

E1     a = E1.e1;
E2     b = E2.e2;
bit<8> c;

if (a > b) { // Potential warning: two automatic and different casts to bit<8>.
   // code omitted
}

c = a + b; // Legal, but a warning would be reasonable

Note that while it is always safe to cast from an enum to its fixed-width unsigned integer type, and vice versa, there may be cases where casting a fixed-width unsigned integer value to its related enum type produces an unnamed value.

bit<8> x = 5;
E e = (E) x; // sets e to an unnamed value

sets e to an unnamed value, since there is no symbol corresponding to the fixed-width unsigned integer value 5.

For example, in the following code, the else clause of the if/else if/else block can be reached even though the matches on x are complete with respect to the symbols defined in MyPartialEnum_t:

enum bit<2> MyPartialEnum_t {
    VALUE_A = 2w0,
    VALUE_B = 2w1,
    VALUE_C = 2w2
}

bit<2> y = < some value >;
MyPartialEnum_t x = (MyPartialEnum_t)y;

if (x == MyPartialEnum_t.VALUE_A) {
    // some code here
} else if (x == MyPartialEnum_t.VALUE_B) {
    // some code here
} else if (x == MyPartialEnum_t.VALUE_C) {
    // some code here
} else {
    // A P4 compiler MUST ASSUME that this branch can be executed
    // some code here
}

Additionally, if an enumeration is used as a field of a header, we would expect the transition select to match default when the parsed integer value does not match one of the symbolic values of EtherType in the following example:

enum bit<16> EtherType {
  VLAN      = 0x8100,
  IPV4      = 0x0800,
  IPV6      = 0x86dd
}

header ethernet {
  // Some fields omitted
  EtherType etherType;
}

parser my_parser(/* parameters omitted */) {
  state parse_ethernet {
    packet.extract(hdr.ethernet);
    transition select(hdr.ethernet.etherType) {
      EtherType.VLAN : parse_vlan;
      EtherType.IPV4 : parse_ipv4;
      EtherType.IPV6: parse_ipv6;
      default: reject;
  }
}

Any variable with an enum type that contains an unnamed value (whether as the result of a cast to an enum with an underlying type, parse into the field of an enum with an underlying type, or simply the declaration of any enum without a specified initial value) will not be equal to any of the values defined for that type. Such an unnamed value should still lead to predictable behavior in cases where any legal value would match, e.g. it should match in any of these situations:

  • If used in a select expression, it should match default or _ in a key set expression.

  • If used as a key with match_kind ternary in a table, it should match a table entry where the field has all bit positions "don’t care".

  • If used as a key with match_kind lpm in a table, it should match a table entry where the field has a prefix length of 0.

Note that if an enum value lacking an underlying type appears in the control-plane API, the compiler must select a suitable serialization data type and representation. For enum values with an underlying type and representations, the compiler should use the specified underlying type as the serialization data type and representation.

Additionally, the size of a serializable enum can be determined at compile-time. However, the size of an enum without an underlying type cannot be determined at compile-time ([sec-minsizeinbits]).

8.4.8.4. Type checking

Enum types are introduced by enum declarations. Its typing rule is explained in Section 11.13. Enum types are then used by referencing their names. Thus enum types can be obtained from named types, as illustrated in Section 8.3.

8.4.8.5. Well-formedness
Click to view the specification source
rulegroup Type_wf/enumTypeIR:
  rule Type_wf/non-serializable:
  B |- ENUM _ `{nameIR_field*}
 -- if $distinct_<nameIR>(nameIR_field*)
  rule Type_wf/serializable:
  B |- ENUM _ `<typeIR> `{(nameIR_field = _ ;)*}
 -- if $distinct_<nameIR>(nameIR_field*)
 -- if $nestable_enum_serializable(typeIR)
 -- Type_wf: B |- typeIR
  1. If let ENUM _ { nameIRfield* } be typeIR:

    1. Check that the elements of nameIRfield* are distinct.

    2. Then, the relation holds.

  2. Else if let ENUM _ < typeIR' > { ( nameIRfield = _ ; )* } be typeIR:

8.5. Object types and values

objectTypeIR
   : externObjectTypeIR
   | parserObjectTypeIR
   | controlObjectTypeIR
   | packageObjectTypeIR
   | tableObjectTypeIR
   ;

objectReferenceValue
   : REF objectId
   ;

Stateful objects are represented using objectTypeIR. At runtime, these objects are passed along directionless parameters as references (objectReferenceValue).

The types parser, control, and package cannot be used as types of arguments for actions, functions, methods, parsers, controls, or tables. They can be used as types for the arguments passed to constructors.

8.5.1. Extern object types

An extern object declaration declares an object and all methods that can be invoked to perform computations and to alter the state of the object. Extern declarations may only appear as allowed by the architecture model and may be specific to a target.

externConstructorPrototype
   : annotationList typeIdentifier `( parameterList ) ;
   ;

externMethodPrototype
   : annotationList functionPrototype ;
   | annotationList ABSTRACT functionPrototype ;
   ;

externConstructorOrMethodPrototype
   : externConstructorPrototype
   | externMethodPrototype
   ;

externObjectDeclaration
   : annotationList EXTERN nonTypeName typeParameterListOpt
       `{ externConstructorOrMethodPrototypeList }
   ;

For example, the P4 core library introduces two extern objects packet_in and packet_out used for manipulating packets (see [sec-packet-data-extraction] and [sec-deparse]). Here is an example showing how the methods of these objects can be invoked on a packet:

extern packet_out {
    void emit<T>(in T hdr);
}
control d(packet_out b, in Hdr h) {
    apply {
        b.emit(h.ipv4);       // write ipv4 header into output packet
    }                         // by calling emit method
}

An extern object declaration introduces a new extern object type definition.

externObjectTypeDefIR
   : EXTERN typeId `< typeParameterIR* , typeParameterIR* >
       externMethodTypeDefEnv
   ;

Extern object types can be referred to using their name. Internally, extern object types are represented as:

externObjectTypeIR
   : EXTERN typeId `< typeArgumentIR* > externMethodTypeDefEnv
   ;
8.5.1.1. Type checking

Extern object types are introduced by extern declarations. Its typing rule is explained in [sem-extern-object-declaration]. Extern object types are then used by referencing their names. Thus extern object types can be obtained from named types, as illustrated in Section 8.3.

8.5.1.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/externObjectTypeIR:
  rule Type_wf/externObjectTypeIR:
  B |- EXTERN _ `<_> (`{(_ : externMethodTypeDefIR)*})
 -- (CallableTypeDef_wf: B |- externMethodTypeDefIR)*

8.5.2. Parser object types

A parser type declaration describes the signature of a parser. A parser should have at least one argument of type packet_in, representing the received packet that is processed.

parserTypeDeclaration
   : annotationList PARSER name typeParameterListOpt `( parameterList ) ;
   ;

For example, the following is a type declaration of a parser type named P that is parameterized on a type variable H. That parser receives as input a packet_in value b and produces two values:

  • A value with a user-defined type H

  • A value with a predefined type Counters

struct Counters { /* Fields omitted */ }
parser P<H>(packet_in b,
            out H packetHeaders,
            out Counters counters);

A parser type declaration introduces a new parser object type definition.

parserObjectTypeDefIR
   : PARSER typeId `< typeParameterIR* , typeParameterIR* > `( parameterIR* )
   ;

Parser types can be referred to using their name and type arguments. Internally, parser types are represented as:

parserObjectTypeIR
   : PARSER typeId `< typeArgumentIR* > `( parameterIR* )
   ;
8.5.2.1. Type checking

Parser object types are introduced by parser type declarations. Its typing rule is explained in Section 11.18. Parser object types are then used by referencing their names. Thus parser object types can be obtained from named types, as illustrated in Section 8.3.

8.5.2.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/parserObjectTypeIR:
  rule Type_wf/parserObjectTypeIR:
  B |- PARSER _ `<_> `(parameterIR*)
 -- (ParameterType_wf: B |- parameterIR)*

8.5.3. Control object types

A control type declaration describes the signature of a control block.

controlTypeDeclaration
   : annotationList CONTROL name typeParameterListOpt `( parameterList ) ;
   ;

Control type declarations are similar to parser type declarations.

A control type declaration introduces a new control object type definition.

controlObjectTypeDefIR
   : CONTROL typeId `< typeParameterIR* , typeParameterIR* > `( parameterIR* )
   ;

Control types can be referred to using their name and type arguments. Internally, control types are represented as:

controlObjectTypeIR
   : CONTROL typeId `< typeArgumentIR* > `( parameterIR* )
   ;
8.5.3.1. Type checking

Control object types are introduced by control type declarations. Its typing rule is explained in Section 11.19. Control object types are then used by referencing their names. Thus control object types can be obtained from named types, as illustrated in Section 8.3.

8.5.3.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/controlObjectTypeIR:
  rule Type_wf/controlObjectTypeIR:
  B |- CONTROL _ `<_> `(parameterIR*)
 -- (ParameterType_wf: B |- parameterIR)*

8.5.4. Package object types

A package type describes the signature of a package.

packageTypeDeclaration
   : annotationList PACKAGE name typeParameterListOpt `( parameterList ) ;
   ;

This introduces a new package object type definition.

packageObjectTypeDefIR
   : PACKAGE typeId `< typeParameterIR* , typeParameterIR* > `{ typeIR* }
   ;

Package types can be referred to using their name and type arguments. Internally, package types are represented as:

packageObjectTypeIR
   : PACKAGE typeId `< typeArgumentIR* > `{ typeIR* }
   ;
8.5.4.1. Type checking

Package object types are introduced by package declarations. Its typing rule is explained in Section 11.20. Package object types are then used by referencing their names. Thus package object types can be obtained from named types, as illustrated in Section 8.3.

8.5.4.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/packageObjectTypeIR:
  rule Type_wf/packageObjectTypeIR:
  B |- PACKAGE _ `<_> `{typeIR*}
 -- (Type_wf: B |- typeIR)*

8.5.5. Table object types

A table declaration introduces a table instance and a table type definition.

tableDeclaration
   : annotationList TABLE name `{ tablePropertyList }
   ;

tableObjectTypeDefIR = tableObjectTypeIR

Internally, table types are represented as:

tableObjectTypeIR
   : TABLE typeId `{ tableMetadataStructTypeIR }
   ;

Table metadata types are introduced in [sec-table-metadata-type-and-value].

8.5.5.1. Well-formedness
Click to view the specification source
rulegroup Type_wf/tableObjectTypeIR:
  rule Type_wf/tableObjectTypeIR:
  B |- TABLE _ `{tableMetadataStructTypeIR}
 -- Type_wf: B |- tableMetadataStructTypeIR

8.5.6. Object reference values

P4 objects are stateful, thus their values are references to the actual objects allocated in the global store.

objectId = nameIR*

objectReferenceValue
   : REF objectId
   ;

Objects are referred to by their fully-qualified names from the top-level scope. === Alias types

A typedef or type declaration can be used to give an alias to a type.

typedef
   : type
   | derivedTypeDeclaration
   ;

typedefDeclaration
   : annotationList TYPEDEF typedef name ;
   | annotationList TYPE type name ;
   ;

Internally, the alias is represented as:

aliasTypeIR
   : typedefTypeIR
   | newTypeIR
   ;

8.5.7. typedef declaration

typedef bit<32> u32;
typedef struct Point { int<32> x; int<32> y; } Pt;
typedef Empty_h[32] HeaderStack;

The two types are treated as synonyms, and all operations that can be executed using the original type can be also executed using the newly created type.

If typedef is used with a generic type the type must be specialized with the suitable number of type arguments:

struct S<T> {
   T field;
}

// typedef S X;  -- illegal: S does not have type arguments
typedef S<bit<32>> X;  // -- legal

Internally, the alias is represented as:

typedefTypeIR
   : TYPEDEF typeId typeIR
   ;
8.5.7.1. Type checking

typedefs are introduced by typedef declarations. Its typing rule is explained in Section 11.17.1. typedefs are then used by referencing their names. Thus typedef types can be obtained from named types, as illustrated in Section 8.3.

8.5.7.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/typedefTypeIR:
  rule Type_wf/typedefTypeIR:
  B |- TYPEDEF _ typeIR
 -- if $nestable_typedef(typeIR)
 -- Type_wf: B |- typeIR

8.5.8. type declaration

Similarly to typedef, the keyword type can be used to introduce a new type.

type bit<32> U32;
U32 x = (U32)0;

While similar to typedef, the type keyword introduces a new type which is not a synonym with the original type: values of the original type and the newly introduced type cannot be mixed in expressions.

Currently the types that can be created by the type keyword are restricted to one of: bit<>, int<>, bool, or types defined using type from such types.

One important use of such types is in describing P4 values that need to be exchanged with the control plane through communication channels (e.g., through the control-plane API or through network packets sent to the control plane). For example, a P4 architecture may define a type for the switch ports:

type bit<9> PortId_t;

This declaration will prevent PortId_t values from being used in arithmetic expressions without casts. Moreover, this declaration may enable special manipulation or such values by software that lies outside of the datapath (e.g., a target-specific toolchain could include software that automatically converts values of type PortId_t to a different representation when exchanged with the control-plane software).

Internally, the alias is represented as:

newTypeIR
   : TYPE typeId typeIR
   ;
8.5.8.1. Operations

Values with a type introduced by the type keyword provide only a few operations:

  • assignment to left-values of the same type

  • comparisons for equality and inequality if the original type supported such comparisons

  • casts to and from the original type

type bit<32> U32;
U32 x = (U32)0;  // cast needed
U32 y = (U32) ((bit<32>)x + 1);  // casts needed for arithmetic
bit<32> z = 1;
bool b0 = x == (U32)z; // cast needed
bool b1 = (bit<32>)x == z;  // cast needed
bool b2 = x == y;  // no cast needed
8.5.8.2. Type checking

types are introduced by type declarations. Its typing rule is explained in Section 11.17.2. types are then used by referencing their names. Thus type types can be obtained from named types, as illustrated in Section 8.3.

8.5.8.3. Well-formedness
Click to view the specification source
rulegroup Type_wf/newTypeIR:
  rule Type_wf/newTypeIR:
  B |- TYPE _ typeIR
 -- if $nestable_new(typeIR)
 -- Type_wf: B |- typeIR

8.6. Synthesized types and values

For the purposes of type-checking the P4 compiler can synthesize some type representations which cannot be directly expressed by users.

These types and values are represented as:

synthesizedTypeIR
   : defaultTypeIR
   | invalidHeaderTypeIR
   | sequenceTypeIR
   | recordTypeIR
   | setTypeIR
   | tableMetadataTypeIR
   ;

synthesizedValue
   : defaultValue
   | invalidHeaderValue
   | sequenceValue
   | recordValue
   | setValue
   | tableMetadataValue
   ;

8.6.1. Default

A left-value can be initialized automatically with a default value of the suitable type using:

defaultExpression
   : ...
   ;

Internally, the type and value of ... itself are represented as:

defaultTypeIR
   : DEFAULT
   ;

defaultValue
   : DEFAULT
   ;
8.6.1.1. Operations

For example:

struct S {
     bit<32> b32;
     bool b;
}

enum int<8> N0 {
   one = 1,
   zero = 0,
   two = 2
}

enum N1 {
     A, B, C, F
}

S s0 = ...;  // initialize s0 with the default value { 0, false }
N0 n0 = ...;  // initialize n0 with the default value 0
N1 n1 = ...;  // initialize n1 with the default value N1.A

See Section 14.4 for semantics of default initialization.

8.6.1.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/defaultTypeIR:
  rule Type_wf/defaultTypeIR:
  B |- DEFAULT

8.6.2. Invalid headers

The expression {#} represents an invalid header of some type, but it can be any header or header union type. A P4 compiler may require an explicit cast on this expression in cases where it cannot determine the particular header or header union type from the context.

invalidHeaderExpression
   : {#}
   ;

Note that the # character cannot be misinterpreted as a preprocessor directive, since it cannot be the first character on a line when it occurs in the single lexical token {#}, which may not have whitespace or any other characters between those shown.

Internally, the type and value of {#} itself are represented as:

invalidHeaderTypeIR
   : HEADER_INVALID
   ;

invalidHeaderValue
   : {#}
   ;
8.6.2.1. Operations

For example:

header H { bit<32> x; bit<32> y; }
H h;
h = {#};   // This makes the header h become invalid
8.6.2.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/invalidHeaderTypeIR:
  rule Type_wf/invalidHeaderTypeIR:
  B |- HEADER_INVALID

8.6.3. Sequences

A sequence expression is written using curly braces, with each element separated by a comma:

sequenceElementExpression = expressionList

sequenceOrRecordElementExpression
   : sequenceElementExpression
   | recordElementExpression
   ;

sequenceOrRecordExpression
   : `{ sequenceOrRecordElementExpression trailingCommaOpt }
   ;

The type of a sequence expression is a sequence type. Its value is a sequence value.

sequenceTypeIR
   : SEQ `< typeIR* >
   | SEQ `< typeIR* , ... >
   ;

sequenceValue
   : SEQ `( value* )
   | SEQ `( value* , ... )
   ;
8.6.3.1. Operations

Sequence expressions can be assigned to expressions of type tuple, struct or header, and can also be passed as arguments to methods. Sequences may be nested.

For instance, sequences can be assigned to other tuples with the same type:

tuple<bit<32>, bool> x = { 10, false };

The following program fragment uses a sequence expression to pass several header fields simultaneously to a learning provider:

extern LearningProvider<T> {
    LearningProvider();
    void learn(in T data);
}

LearningProvider<tuple<bit<48>, bit<32>>>() lp;

lp.learn( { hdr.ethernet.srcAddr, hdr.ipv4.src } );

A sequence may be used to initialize a structure if the tuple has the same number of elements as fields in the structure. The effect of such an initializer is to assign the nth element of the tuple to the nth field in the structure:

struct S {
    bit<32> a;
    bit<32> b;
}
const S x = { 10, 20 }; // a = 10, b = 20

Sequence expressions that have ... as their last element are allowed to give values to only a subset of the fields of the struct or header type to which it evaluates. Any field names not given a value explicitly will be given their default value (see [sec-initializing-with-default-values]).

8.6.3.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/sequenceTypeIR:
  rule Type_wf/non-default:
  B |- SEQ `<typeIR*>
 -- (Type_wf: B |- typeIR)*
  rule Type_wf/default:
  B |- SEQ `<typeIR* , ...>
 -- (Type_wf: B |- typeIR)*
  1. If let SEQ < typeIR'* > be sequenceTypeIR:

    1. Check that typeIR' is a well-formed type, with bound type variables B, for all typeIR' in typeIR'*.

    2. Then, the relation holds.

  2. Else:

    1. Let SEQ < typeIR'* , ... > be sequenceTypeIR.

    2. Check that typeIR' is a well-formed type, with bound type variables B, for all typeIR' in typeIR'*.

    3. Then, the relation holds.

8.6.4. Records

One can write record expressions that evaluate to a structure or header. The syntax of these expressions is given by:

recordElementExpression
   : name = expression
   | name = expression , ...
   | name = expression , namedExpressionList
   | name = expression , namedExpressionList , ...
   ;

sequenceOrRecordElementExpression
   : sequenceElementExpression
   | recordElementExpression
   ;

sequenceOrRecordExpression
   : `{ sequenceOrRecordElementExpression trailingCommaOpt }
   ;

Internally, the type and value of a record expression are represented as:

recordTypeIR
   : RECORD `{ fieldTypeIR* }
   | RECORD `{ fieldTypeIR* , ... }
   ;

recordValue
   : RECORD `{ fieldValue* }
   | RECORD `{ fieldValue* , ... }
   ;
8.6.4.1. Operations

The following example shows a structure-valued expression used in an equality comparison expression:

struct S {
    bit<32> a;
    bit<32> b;
}

void f() {
  S s;

  // Compare s with a record expression
  bool b = s == (S) { a = 1, b = 2 };
}

Record expressions can be used in the right-hand side of assignments, in comparisons, in field selection expressions, and as arguments to functions, method or actions. Record expressions are not left values.

Record expressions that do not have ... as their last element must provide a value for every member of the struct or header type to which it evaluates, by mentioning each field name exactly once.

Record expressions that have ... as their last element are allowed to give values to only a subset of the fields of the struct or header type to which it evaluates. Any field names not given a value explicitly will be given their default values (see [sec-initializing-with-default-values]).

The order of the fields of the struct or header type does not need to match the order of the values of the structure-valued expression.

It is a compile-time error if a field name appears more than once in the same structure-valued expression.

8.6.4.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/recordTypeIR:
  rule Type_wf/non-default:
  B |- RECORD `{(_ typeIR_field nameIR_field ;)*}
 -- if $distinct_<nameIR>(nameIR_field*)
 -- (Type_wf: B |- typeIR_field)*
  rule Type_wf/default:
  B |- RECORD `{(_ typeIR_field nameIR_field ;)* , ...}
 -- if $distinct_<nameIR>(nameIR_field*)
 -- (Type_wf: B |- typeIR_field)*
  1. If let RECORD { ( _ typeIRfield nameIRfield ; )* } be recordTypeIR:

    1. Check that the elements of nameIRfield* are distinct.

    2. Check that typeIRfield is a well-formed type, with bound type variables B, for all typeIRfield in typeIRfield*.

    3. Then, the relation holds.

  2. Else:

    1. Let RECORD { ( _ typeIRfield nameIRfield ; )* , ... } be recordTypeIR.

    2. Check that the elements of nameIRfield* are distinct.

    3. Check that typeIRfield is a well-formed type, with bound type variables B, for all typeIRfield in typeIRfield*.

    4. Then, the relation holds.

8.6.5. Sets

setTypeIR
   : SET `< typeIR >
   ;

The set type describes sets of values of some type T. Set types can only appear in restricted contexts in P4 programs. For example, the range expression 8w5 .. 8w8 describes a set containing the 8-bit numbers 5, 6, 7, and 8, so its type is set<bit<8>>;. This expression can be used as a label in a select expression (see [sec-select]), matching any value in this range. Set types cannot be named or declared by P4 programmers, they are only synthesized by the compiler internally and used for type-checking.

Set values are represented as:

setValue
   : SET `{ value }
   | SET `{ value* `( nat ) }
   | SET `{ value &&& value }
   | SET `{ value .. value }
   | SET `{ ... }
   ;
8.6.5.1. Operations

Some P4 expressions denote sets of values. These expressions can appear only in a few contexts—​parsers and table entries. For example, the select expression ([sec-select]) has the following structure:

select (expression) {
   set1: state1;
   set2: state2;
   // More labels omitted
}

Here the expressions set1, set2, etc. evaluate to sets of values and the select expression tests whether expression belongs to the sets used as labels.

keysetExpression
   : simpleKeysetExpression
   | tupleKeysetExpression
   ;

tupleKeysetExpression
   : `( expression &&& expression )
   | `( expression .. expression )
   | `( DEFAULT )
   | `( _ )
   | `( simpleKeysetExpression , simpleKeysetExpressionList )
   ;

simpleKeysetExpressionList
   : simpleKeysetExpression
   | simpleKeysetExpressionList , simpleKeysetExpression
   ;

simpleKeysetExpression
   : expression
   | expression &&& expression
   | expression .. expression
   | DEFAULT
   | _
   ;

The mask (&&&) and range (..) operators have the same precedence; the just above the ?: operator.

8.6.5.1.1. Singleton sets

In a set context, expressions denote singleton sets. For example, in the following program fragment,

select (hdr.ipv4.version) {
   4: continue;
}

The label 4 denotes the singleton set containing the int value 4.

8.6.5.1.2. The universal set

In a set context, the expressions default or _ denote the universal set, which contains all possible values of a given type:

select (hdr.ipv4.version) {
   4: continue;
   _: reject;
}
8.6.5.1.3. Masks

The infix operator &&& takes two arguments of the same numeric type ([sec-numeric-values]), and creates a value of the same type. The right value is used as a "mask", where each bit set to 0 in the mask indicates a "don’t care" bit. More formally, the set denoted by a &&& b is defined as follows:

a &&& b = { c where a & b = c & b }

For example:

8w0x0A &&& 8w0x0F

denotes a set that contains 16 different bit<8> values, whose bit-pattern is XXXX1010, where the value of an X can be any bit. Note that there may be multiple ways to express a keyset using a mask operator—​e.g., 8w0xFA &&& 8w0x0F denotes the same keyset as in the example above.

Similar to other binary operations, the mask operator allows the compiler to automatically insert casts to unify the argument types in certain situations (Section 17.2).

P4 architectures may impose additional restrictions on the expressions on the left and right-hand side of a mask operator: for example, they may require that either or both sub-expressions be compile-time known values.

8.6.5.1.4. Ranges

The infix operator .. takes two arguments of the same numeric type T ([sec-numeric-values]), and creates a value of the type set<T>. The set contains all values numerically between the first and the second, inclusively. For example:

4s5 .. 4s8

denotes a set of 4 consecutive int<4> values 4s5, 4s6, 4s7, and 4s8.

Similar to other binary operations, the range operator allows the compiler to automatically insert casts to unify the argument types in certain situations ([sec-implicit-casts]).

A range where the second value is smaller than the first one represents an empty set.

8.6.5.1.5. Products

Multiple sets can be combined using Cartesian product:

select(hdr.ipv4.ihl, hdr.ipv4.protocol) {
     (4w0x5, 8w0x1): parse_icmp;
     (4w0x5, 8w0x6): parse_tcp;
     (4w0x5, 8w0x11): parse_udp;
     (_, _): accept; }

The type of a product of sets is a set of sequences or tuples.

8.6.5.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/setTypeIR:
  rule Type_wf/setTypeIR:
  B |- SET `<typeIR>
 -- if $nestable_set(typeIR)
 -- Type_wf: B |- typeIR

8.6.6. Table metadata

A table can be invoked by calling its apply method. Calling an apply method on a table instance returns a value with a table metadata struct type with three fields. This structure is synthesized by the compiler automatically. For each table T, the compiler synthesizes a table metadata enum and a struct, shown in pseudo-P4:

enum action_list(T) {
   // one field for each action in the actions list of table T
}
struct apply_result(T) {
    bool hit;
    bool miss;
    action_list(T) action_run;
}
8.6.6.1. Operations

The evaluation of the apply method sets the hit field to true and the field miss to false if a match is found in the lookup-table; if a match is not found hit is set to false and miss to true. These bits can be used to drive the execution of the control-flow in the control block that invoked the table:

if (ipv4_match.apply().hit) {
    // there was a hit
} else {
    // there was a miss
}

if (ipv4_host.apply().miss) {
    ipv4_lpm.apply(); // Look up the route only if host table missed
}

The action_run field indicates which kind of action was executed (irrespective of whether it was a hit or a miss). It can be used in a switch statement:

switch (dmac.apply().action_run) {
    Drop_action: { return; }
}

Internally, the type and value of table metadata are represented as:

tableMetadataTypeIR
   : tableMetadataEnumTypeIR
   | tableMetadataStructTypeIR
   ;

tableMetadataValue
   : tableMetadataEnumValue
   | tableMetadataStructValue
   ;
8.6.6.2. Well-formedness
Click to view the specification source
rulegroup Type_wf/tableMetadataTypeIR:
  rule Type_wf/enum:
  B |- TABLE_ENUM _ `{nameIR*}
 -- if $distinct_<nameIR>(nameIR*)
  rule Type_wf/struct:
  B |- TABLE_STRUCT _ `{HIT _ ; MISS _ ; ACTION_RUN tableMetadataEnumTypeIR ;}
 -- Type_wf: B |- tableMetadataEnumTypeIR
  1. If let TABLE_ENUM _ { nameIR* } be typeIR:

    1. Check that the elements of nameIR* are distinct.

    2. Then, the relation holds.

  2. Else if let TABLE_STRUCT _ { HIT _ ; MISS _ ; ACTION_RUN tableMetadataEnumTypeIR ; } be typeIR:

8.7. Unrolling

typedefs, described in Section 8.5.7, introduce indirection in types.

struct S {
    bit<8> t;
    int<8> u;
}

typedef S A;

The type A is an alias of the struct type S. Neverthelss, the underlying type of A is a structTypeIR with two fields, t and u, of types int<8> and bit<8> respectively. It is useful to be able to work with the underlying type of A, when dealing with type checking, type equivalence, and other type-based analyses.

Unrolling is the process of recursively expanding all typedefs until a type is fully expanded to its underlying type.

Click to view the specification source
def $unroll_typeIR(TYPEDEF _ typeIR) = $unroll_typeIR(typeIR)

def $unroll_typeIR(typeIR) = typeIR
 -- otherwise
  1. If let TYPEDEF _ typeIR' be typeIR:

  2. Otherwise:

    1. Return typeIR.

9. P4 callables

P416 includes four entities that can be invoked: actions, functions, methods, and object constructors. Object constructors are explained in [sec-def-object]. The other three callable entities are collectively referred to as callables.

Callable types are created by the P4 compiler internally to represent the types of actions, functions, and methods during type-checking. We also call the type of a callable its signature. Libraries can contain callable declarations.

For example, consider the following declarations:

extern void random(in bit<5> logRange, out bit<32> value);

bit<32> add(in bit<32> left, in bit<32> right) {
   return left + right;
}

These declarations describe two callables:

  • random, which has an extern function type, representing the following information:

    • the result type is void

    • the function has two inputs

    • the first formal parameter has direction in, type bit<5>, and name logRange

    • the second formal parameter has direction out, type bit<32>, and name value

  • add, also has a function type, representing the following information:

    • the result type is bit<32>

    • the function has two inputs

    • both inputs have direction in and type bit<32>

Specifically, during type checking, callable declarations introduce a type constructor for the callable type:

callableTypeDefIR
   : actionTypeDefIR
   | functionTypeDefIR
   | methodTypeDefIR
   ;

These callable type definitions are used to construct callable types via specialization:

callableTypeIR
   : actionTypeIR
   | functionTypeIR
   | methodTypeIR
   ;

The well-formedness rules for callable types are checked by:

The runtime representation of a callable is given by:

callableDef
   : actionDef
   | functionDef
   | methodDef
   ;

9.1. Parameters

direction
   : /* empty */
   | IN
   | OUT
   | INOUT
   ;

parameter
   : annotationList direction type name initializerOpt
   ;

Callables can have parameters. Each parameter has a direction, a type, a name, and an optional default value.

A parameter is internally represented as:

parameterIR
   : annotationList direction typeIR id parameterInitializerOptIR
   ;

The high-level overview of parameters with respect to the copy in/copy out calling convention is described in Section 6.5. Below are the formal typing and well-formedness rules for parameters that implement the restrictions described there.

9.1.1. Type checking

Typing a parameter produces a parameterIR if it is well-typed. A parameter is well-typed when its type is well-formed and its default value (if any) has the same type as the parameter type.

Click to view the specification source
rulegroup Parameter_ok:
  rule Parameter_ok/non-initializer:
  p TC_0 |- annotationList direction type name `EMPTY : TC_1 parameterIR # typeId_fresh*
 -- Type_ok: p TC_0 |- type : typeIR # typeId_fresh*
 -- if B = $union_set<typeId>($bound(p, TC_0), `{typeId_fresh*})
 -- Type_wf: B |- typeIR
 -- if nameIR = $name(name)
 -- if parameterIR = annotationList direction typeIR nameIR eps
 -- if TC_1 = $add_parameter_t(p, TC_0, parameterIR)
  rule Parameter_ok/initializer-ctk:
  p TC_0 |- annotationList direction type name (= expression_init) : TC_1 parameterIR # typeId_fresh*
 -- Type_ok: p TC_0 |- type : typeIR # typeId_fresh*
 -- if B = $union_set<typeId>($bound(p, TC_0), `{typeId_fresh*})
 -- Type_wf: B |- typeIR
 -- Expr_ok: p TC_0 |- expression_init : typedExpressionIR_init
 -- if typeIR_init = $type_of_typedExpressionIR(typedExpressionIR_init)
 -- if CTK = $ctk_of_typedExpressionIR(typedExpressionIR_init)
 -- if typedExpressionIR_init_cast = $cast_unary(typedExpressionIR_init, typeIR)
 -- if nameIR = $name(name)
 -- if parameterInitializerIR = = typedExpressionIR_init_cast
 -- if parameterIR = annotationList direction typeIR nameIR parameterInitializerIR
 -- if TC_1 = $add_parameter_t(p, TC_0, parameterIR)
  rule Parameter_ok/initializer-lctk:
  p TC_0 |- annotationList direction type name (= expression_init) : TC_1 parameterIR # typeId_fresh*
 -- Type_ok: p TC_0 |- type : typeIR # typeId_fresh*
 -- if B = $union_set<typeId>($bound(p, TC_0), `{typeId_fresh*})
 -- Type_wf: B |- typeIR
 -- Expr_ok: p TC_0 |- expression_init : typedExpressionIR_init
 -- if typeIR_init = $type_of_typedExpressionIR(typedExpressionIR_init)
 -- if LCTK = $ctk_of_typedExpressionIR(typedExpressionIR_init)
 -- if typedExpressionIR_init_cast = $cast_unary(typedExpressionIR_init, typeIR)
 -- if nameIR = $name(name)
 -- Expr_eval_lctk: p TC_0 |- typedExpressionIR_init_cast ~> value_init
 -- if parameterInitializerIR = = `VALUE value_init
 -- if parameterIR = annotationList direction typeIR nameIR parameterInitializerIR
 -- if TC_1 = $add_parameter_t(p, TC_0, parameterIR)
  1. If initializerOpt is `EMPTY:

    1. Let typeIR and fresh type variables typeIdfresh* be

    2. Let bound be bound type variables from the p layer of TC0.

    3. Let B be the union of the sets bound and { typeIdfresh* }.

    4. Check that typeIR is a well-formed type, with bound type variables B.

    5. Let nameIR be the name of name.

    6. Let parameterIR be annotationList direction typeIR nameIR ·.

    7. Let TC1 be parameterIR added to the p layer of TC0.

    8. Result in context TC1, parameterIR, and fresh type variables typeIdfresh*.

  2. Else:

    1. Let = expressioninit be initializerOpt.

    2. Let typeIR and fresh type variables typeIdfresh* be

    3. Let bound be bound type variables from the p layer of TC0.

    4. Let B be the union of the sets bound and { typeIdfresh* }.

    5. Check that typeIR is a well-formed type, with bound type variables B.

    6. Let typedExpressionIRinit be

    7. Let typeIRinit be the type of typedExpressionIRinit.

    8. If the compile-time known-ness of typedExpressionIRinit is CTK:

      1. Let typedExpressionIRinit_cast be ! typedExpressionIRinit implicitly cast to typeIR.

      2. Let nameIR be the name of name.

      3. Let parameterInitializerIR be = typedExpressionIRinit_cast.

      4. Let parameterIR be annotationList direction typeIR nameIR parameterInitializerIR.

      5. Let TC1 be parameterIR added to the p layer of TC0.

      6. Result in context TC1, parameterIR, and fresh type variables typeIdfresh*.

    9. Else if the compile-time known-ness of typedExpressionIRinit is LCTK:

      1. Let typedExpressionIRinit_cast be ! typedExpressionIRinit implicitly cast to typeIR.

      2. Let nameIR be the name of name.

      3. Let valueinit be

      4. Let parameterInitializerIR be = `VALUE valueinit.

      5. Let parameterIR be annotationList direction typeIR nameIR parameterInitializerIR.

      6. Let TC1 be parameterIR added to the p layer of TC0.

      7. Result in context TC1, parameterIR, and fresh type variables typeIdfresh*.

9.1.2. Well-formedness

A parameter type is well-formed when its type is well-formed. Also, the type should not be a synthesized type. Types that can only be local compile-time known or compile-time known (e.g., int type) must be directionless. A default value can be specified for in or directionless parameters only.

Click to view the specification source
rulegroup ParameterType_wf:
  rule ParameterType_wf/non-default:
  B |- _ direction typeIR _ eps
 -- Type_wf: B |- typeIR
 -- if typeIR_unroll = $unroll_typeIR(typeIR)
 -- if ~(typeIR_unroll <: synthesizedTypeIR)
 -- if ((typeIR_unroll = INT) \/ (typeIR_unroll <: stringTypeIR) \/ (typeIR_unroll <: objectTypeIR)) => direction = `EMPTY
  rule ParameterType_wf/default:
  B |- annotationList direction typeIR _ parameterInitializerIR
 -- Type_wf: B |- typeIR
 -- if typeIR_unroll = $unroll_typeIR(typeIR)
 -- if ~(typeIR_unroll <: synthesizedTypeIR)
 -- if ((typeIR_unroll = INT) \/ (typeIR_unroll <: stringTypeIR) \/ (typeIR_unroll <: objectTypeIR)) => direction = `EMPTY
 -- if direction = IN \/ direction = `EMPTY
 -- if ~$optional_annotation_of_parameterIR'(annotationList)
  1. If parameterInitializerIR? is none:

    1. Check that typeIR is a well-formed type, with bound type variables B.

    2. Let typeIRunroll be typeIR with typedefs unrolled.

    3. Check that typeIRunroll does not have type synthesizedTypeIR.

    4. Check that if typeIRunroll is equal to INT or typeIRunroll has type stringTypeIR or typeIRunroll has type objectTypeIR, then direction is equal to `EMPTY.

    5. Then, the relation holds.

  2. Else:

    1. Check that typeIR is a well-formed type, with bound type variables B.

    2. Let typeIRunroll be typeIR with typedefs unrolled.

    3. Check that typeIRunroll does not have type synthesizedTypeIR.

    4. Check that if typeIRunroll is equal to INT or typeIRunroll has type stringTypeIR or typeIRunroll has type objectTypeIR, then direction is equal to `EMPTY.

    5. Check that direction is equal to IN or direction is equal to `EMPTY.

    6. Check that annotationList does not contain an optional annotation.

    7. Then, the relation holds.

9.2. Callable definitions (callable constructors)

Similar to how type declarations introduce type definitions (see Section 8.3.1), callable declarations introduce callable definitions. These are constructors for callable types, that are parameterized by type parameters (if any).

actionTypeDefIR = actionTypeIR

functionTypeDefIR
   : definedFunctionTypeDefIR
   | externFunctionTypeDefIR
   ;

methodTypeDefIR
   : externMethodTypeDefIR
   | parserApplyMethodTypeDefIR
   | controlApplyMethodTypeDefIR
   | tableApplyMethodTypeDefIR
   ;

callableTypeDefIR
   : actionTypeDefIR
   | functionTypeDefIR
   | methodTypeDefIR
   ;

When specialized with concrete type arguments, callable type definitions yield callable types:

actionTypeIR
   : annotationList ACTION nameIR `( parameterIR* )
   ;

functionTypeIR
   : definedFunctionTypeIR
   | externFunctionTypeIR
   ;

methodTypeIR
   : builtinMethodTypeIR
   | externMethodTypeIR
   | parserApplyMethodTypeIR
   | controlApplyMethodTypeIR
   | tableApplyMethodTypeIR
   ;

callableTypeIR
   : actionTypeIR
   | functionTypeIR
   | methodTypeIR
   ;

For example, a function declaration introduces a function type definition:

T identity<T>(in T t) { return t; }

identity is a generic function type definition that falls into:

definedFunctionTypeDefIR
   : FUNCTION nameIR `< typeParameterIR* , typeParameterIR* > `( parameterIR* )
       : typeIR
   ;

Notice that definedFunctionTypeDefIR does not include the function body. Because callable type definitions are used during type checking, the body of the callable is not part of the type definition. After specialization with proper type argument(s), it yields a function type:

definedFunctionTypeIR
   : FUNCTION nameIR `( parameterIR* ) : typeIR
   ;

9.2.1. Well-formedness

${relation: CallableTypeDef_wf}

${rulegroup: CallableTypeDef_wf} ${ruleprose: CallableTypeDef_wf}

9.3. Actions

actions
Figure 10. Actions contain code and data. The code is in the P4 program, while the data is provided in the table entries, typically populated by the control plane. Other parameters are bound by the data plane.

Actions are code fragments that can read and write the data being processed. Actions may contain data values that can be written by the control plane and read by the data plane. Actions are the main construct by which the control plane can dynamically influence the behavior of the data plane. Figure 10 shows the abstract model of an action.

actionDeclaration
   : annotationList ACTION name `( parameterList ) blockStatement
   ;

Syntactically actions resemble functions with no return value. Actions may be declared within a control block; in this case they can only be used within instances of that control block.

The following example shows an action declaration:

action Forward_a(out bit<9> outputPort, bit<9> port) {
    outputPort = port;
}

Action parameters may not have extern types. Action parameters that have no direction (e.g., port in the previous example) indicate "action data." All such parameters must appear at the end of the parameter list. When used in a match-action table (see [sec-table-action-list]), these parameters will be provided by the table entries (e.g., as specified by the control plane, the default_action table property, or the entries table property).

The body of an action consists of a sequence of statements and declarations. No table, control, or parser applications can appear within actions.

Some targets may impose additional restrictions on action bodies—​e.g., only allowing straight-line code, with no conditional statements or expressions.

Actions can be executed in two ways:

  • Implicitly: by tables during match-action processing.

  • Explicitly: either from a control block or from another action. In either case, the values for all action parameters must be supplied explicitly, including values for the directionless parameters. In this case, the directionless parameters behave like in parameters.

Actions are introduced by action declarations. Its typing and instantiation rules are explained in Section 11.6. It introduces an action type definition:

actionTypeDefIR = actionTypeIR

Because actions cannot be generic, the action type is the same as the action type definition:

actionTypeIR
   : annotationList ACTION nameIR `( parameterIR* )
   ;

The runtime representation of an action is as follows:

actionDef
   : ACTION nameIR `( parameterListIR ) blockStatementIR
   ;

9.3.1. Well-formedness

Click to view the specification source
rulegroup CallableType_wf/actionTypeIR:
  rule CallableType_wf/actionTypeIR:
  B |- _ ACTION _ `(parameterIR*)
 -- (ParameterType_wf: B |- parameterIR)*
 -- (if (~$is_optional_parameterIR(parameterIR)))*
 -- (if (_ direction typeIR _ _ = parameterIR))*
 -- if $directionless_trailing(direction*)
 -- (if $nestable_action(typeIR))*
  1. Check that parameterIR is a well-formed parameter, with bound type variables B, for all parameterIR in parameterIR*.

  2. Check that parameterIR is not an optional parameter, for all parameterIR in parameterIR*.

  3. Let direction* be the list and typeIR* be the list obtained by repeating:

    • Let direction and typeIR be the direction and the type of parameterIR.

    for each parameterIR in parameterIR*

  4. Check that directionless parameters in direction* only appear at the end.

  5. Check that typeIR can be used in an action type, for all typeIR in typeIR*.

  6. Then, the relation holds.

9.4. Functions

Two kinds of functions are supported in P4: user-defined functions and extern functions. The former are functions whose implementation is provided in P4 source code, while the latter are functions whose implementation is provided externally by the target architecture.

The internal representation of functions is as follows:

functionTypeDefIR
   : definedFunctionTypeDefIR
   | externFunctionTypeDefIR
   ;

functionTypeIR
   : definedFunctionTypeIR
   | externFunctionTypeIR
   ;

functionDef
   : definedFunctionDef
   | externFunctionDef
   ;

9.4.1. User-defined functions

Functions can only be declared at the top level and all parameters must have a direction. P4 functions are modeled after functions as found in most other programming languages, but the language does not permit recursive functions.

functionPrototype
   : typeOrVoid name typeParameterListOpt `( parameterList )
   ;

functionDeclaration
   : annotationList functionPrototype blockStatement
   ;

Here is an example of a function that returns the maximum of two 32-bit values:

bit<32> max(in bit<32> left, in bit<32> right) {
   return (left > right) ? left : right;
}

A function returns a value using the return statement. A function with a return type of void can simply use the return statement with no arguments. A function with a non-void return type must return a value of the suitable type on all possible execution paths.

The typing and instantiation rules for function declarations is explained in Section 11.5. This introduces a function type definition, which can be specialized to a function type.

definedFunctionTypeDefIR
   : FUNCTION nameIR `< typeParameterIR* , typeParameterIR* > `( parameterIR* )
       : typeIR
   ;

definedFunctionTypeIR
   : FUNCTION nameIR `( parameterIR* ) : typeIR
   ;

Also, the runtime representation of a defined function is as follows:

definedFunctionDef
   : FUNCTION nameIR `< typeParameterListIR > `( parameterListIR )
       blockStatementIR
   ;
9.4.1.1. Well-formedness
Click to view the specification source
rulegroup CallableType_wf/definedFunctionTypeIR:
  rule CallableType_wf/definedFunctionTypeIR:
  B |- FUNCTION _ `(parameterIR*) : typeIR_ret
 -- (ParameterType_wf: B |- parameterIR)*
 -- (if (~$is_optional_parameterIR(parameterIR)))*
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_definedFunction(typeIR))*
 -- ReturnType_wf: B |- typeIR_ret
  1. Check that parameterIR is a well-formed parameter, with bound type variables B, for all parameterIR in parameterIR*.

  2. Check that parameterIR is not an optional parameter, for all parameterIR in parameterIR*.

  3. Let typeIR* be the list obtained by repeating:

    • Let typeIR be the type of parameterIR.

    for each parameterIR in parameterIR*

  4. Check that typeIR can be used in a defined function type, for all typeIR in typeIR*.

  5. Check that typeIRret is a well-formed return type, with bound type variables B.

  6. Then, the relation holds.

9.4.2. Extern functions

An extern function declaration describes the name and type signature of the function, but not its implementation.

externDeclaration
   : externFunctionDeclaration
   | externObjectDeclaration
   ;

extern declarations introduce extern function type definitions, which can be specialized to extern function types.

externFunctionTypeDefIR
   : EXTERN_FUNCTION nameIR `< typeParameterIR* , typeParameterIR* >
       `( parameterIR* ) : typeIR
   ;

externFunctionTypeIR
   : EXTERN_FUNCTION nameIR `( parameterIR* ) : typeIR
   ;

Also, the runtime representation of an extern function is as follows:

externFunctionDef
   : EXTERN_FUNCTION nameIR `< typeParameterListIR > `( parameterListIR )
   ;

See Section 11.9 for the typing and instantiation rules for extern function declarations.

9.4.2.1. Well-formedness
Click to view the specification source
rulegroup CallableType_wf/externFunctionTypeIR:
  rule CallableType_wf/externFunctionTypeIR:
  B |- EXTERN_FUNCTION _ `(parameterIR*) : typeIR_ret
 -- (ParameterType_wf: B |- parameterIR)*
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_externFunction(typeIR))*
 -- ReturnType_wf: B |- typeIR_ret
  1. Check that parameterIR is a well-formed parameter, with bound type variables B, for all parameterIR in parameterIR*.

  2. Let typeIR* be the list obtained by repeating:

    • Let typeIR be the type of parameterIR.

    for each parameterIR in parameterIR*

  3. Check that typeIR can be used in an extern function type, for all typeIR in typeIR*.

  4. Check that typeIRret is a well-formed return type, with bound type variables B.

  5. Then, the relation holds.

9.5. Methods

Objects in P4 can have methods associated with them. Specifically, extern objects have methods declared in their definitions. parser, control, and table objects have built-in apply methods.

Further, P4 allows built-in methods for certain types, such as isValid() and setValid() methods for header types.

The internal representation of methods is defined as follows:

methodTypeDefIR
   : externMethodTypeDefIR
   | parserApplyMethodTypeDefIR
   | controlApplyMethodTypeDefIR
   | tableApplyMethodTypeDefIR
   ;

methodTypeIR
   : builtinMethodTypeIR
   | externMethodTypeIR
   | parserApplyMethodTypeIR
   | controlApplyMethodTypeIR
   | tableApplyMethodTypeIR
   ;

methodDef
   : externMethodDef
   | parserApplyMethodDef
   | controlApplyMethodDef
   | tableApplyMethodDef
   ;

9.5.1. Extern methods

An extern object declaration declares an object and all methods that can be invoked to perform computations and to alter the state of the object.

externConstructorPrototype
   : annotationList typeIdentifier `( parameterList ) ;
   ;

externMethodPrototype
   : annotationList functionPrototype ;
   | annotationList ABSTRACT functionPrototype ;
   ;

externConstructorOrMethodPrototype
   : externConstructorPrototype
   | externMethodPrototype
   ;

externObjectDeclaration
   : annotationList EXTERN nonTypeName typeParameterListOpt
       `{ externConstructorOrMethodPrototypeList }
   ;

For example, the P4 core library introduces two extern objects packet_in and packet_out used for manipulating packets (see [sec-packet-data-extraction] and [sec-deparse]). Here is an example showing how the methods of these objects can be invoked on a packet:

extern packet_out {
    void emit<T>(in T hdr);
}
control d(packet_out b, in Hdr h) {
    apply {
        b.emit(h.ipv4);       // write ipv4 header into output packet
    }                         // by calling emit method
}

Internally, extern methods are represented as follows:

externMethodTypeDefIR
   : EXTERN_METHOD nameIR `< typeParameterIR* , typeParameterIR* >
       `( parameterIR* ) : typeIR
   | EXTERN_METHOD ABSTRACT nameIR `< typeParameterIR* , typeParameterIR* >
       `( parameterIR* ) : typeIR
   ;

externMethodTypeIR
   : EXTERN_METHOD nameIR `( parameterIR* ) : typeIR
   | EXTERN_METHOD ABSTRACT nameIR `( parameterIR* ) : typeIR
   ;

externMethodDef
   : EXTERN_METHOD nameIR `< typeParameterListIR > `( parameterListIR )
       blockStatementIR?
   | EXTERN_METHOD ABSTRACT nameIR `< typeParameterListIR > `( parameterListIR )
   ;

Typical extern object methods are implemented by the target architecture. P4 programmers can only call such methods.

Some types of extern objects may provide methods that can be implemented by the P4 programmers. Such methods are described with the abstract keyword prior to the method definition. Here is an example:

extern Balancer {
    Balancer();
    // get the number of active flows
    bit<32> getFlowCount();
    // return port index used for load-balancing
    // @param address: IPv4 source address of flow
    abstract bit<4> on_new_flow(in bit<32> address);
}

When such an object is instantiated the user has to supply an implementation of all the abstract methods (see [sec-instantion-abstract-method]).

9.5.1.1. Well-formedness
Click to view the specification source
rulegroup CallableType_wf/externMethodTypeIR:
  rule CallableType_wf/non-abstract:
  B |- EXTERN_METHOD _ `(parameterIR*) : typeIR_ret
 -- (ParameterType_wf: B |- parameterIR)*
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_externMethod(typeIR))*
 -- ReturnType_wf: B |- typeIR_ret
  rule CallableType_wf/abstract:
  B |- EXTERN_METHOD ABSTRACT _ `(parameterIR*) : typeIR_ret
 -- (ParameterType_wf: B |- parameterIR)*
 -- (if (~$is_optional_parameterIR(parameterIR)))*
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_externMethod(typeIR))*
 -- ReturnType_wf: B |- typeIR_ret
  1. If let EXTERN_METHOD _ ( parameterIR* ) : typeIRret be externMethodTypeIR:

    1. Check that parameterIR is a well-formed parameter, with bound type variables B, for all parameterIR in parameterIR*.

    2. Let typeIR* be the list obtained by repeating:

      • Let typeIR be the type of parameterIR.

      for each parameterIR in parameterIR*

    3. Check that typeIR can be used in an extern method type, for all typeIR in typeIR*.

    4. Check that typeIRret is a well-formed return type, with bound type variables B.

    5. Then, the relation holds.

  2. Else:

    1. Let EXTERN_METHOD ABSTRACT _ ( parameterIR* ) : typeIRret be externMethodTypeIR.

    2. Check that parameterIR is a well-formed parameter, with bound type variables B, for all parameterIR in parameterIR*.

    3. Check that parameterIR is not an optional parameter, for all parameterIR in parameterIR*.

    4. Let typeIR* be the list obtained by repeating:

      • Let typeIR be the type of parameterIR.

      for each parameterIR in parameterIR*

    5. Check that typeIR can be used in an extern method type, for all typeIR in typeIR*.

    6. Check that typeIRret is a well-formed return type, with bound type variables B.

    7. Then, the relation holds.

9.5.2. Parser apply methods

P4 allows parsers to invoke the services of other parsers, similar to subroutines. To invoke the services of another parser, the sub-parser must be first instantiated; the services of an instance are invoked by calling it using its apply method.

The following example shows a sub-parser invocation:

parser callee(packet_in packet, out IPv4 ipv4) { /* body omitted */ }
parser caller(packet_in packet, out Headers h) {
     callee() subparser;  // instance of callee
     state subroutine {
          subparser.apply(packet, h.ipv4);  // invoke sub-parser
          transition accept;  // accept if sub-parser ends in accept state
     }
}

A parser apply method type definition is implicitly introduced by a parser declaration. Its semantics is explained in Section 11.11. A parser apply method is represented internally as follows:

parserApplyMethodTypeDefIR = parserApplyMethodTypeIR

parserApplyMethodTypeIR
   : PARSER_APPLY `( parameterIR* )
   ;

parserApplyMethodDef
   : PARSER_APPLY `( parameterListIR )
       `{ parserLocalDeclarationListIR ; stateEnv }
   ;
9.5.2.1. Well-formedness
Click to view the specification source
rulegroup CallableType_wf/parserApplyMethodTypeIR:
  rule CallableType_wf/parserApplyMethodTypeIR:
  B |- PARSER_APPLY `(parameterIR*)
 -- (ParameterType_wf: B |- parameterIR)*
 -- (if (~$is_optional_parameterIR(parameterIR)))*
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_parserApplyMethod(typeIR))*
  1. Check that parameterIR is a well-formed parameter, with bound type variables B, for all parameterIR in parameterIR*.

  2. Check that parameterIR is not an optional parameter, for all parameterIR in parameterIR*.

  3. Let typeIR* be the list obtained by repeating:

    • Let typeIR be the type of parameterIR.

    for each parameterIR in parameterIR*

  4. Check that typeIR can be used in a parser apply method type, for all typeIR in typeIR*.

  5. Then, the relation holds.

9.5.3. Control apply methods

P4 allows controls to invoke the services of other controls, similar to subroutines. To invoke the services of another control, it must be first instantiated; the services of an instance are invoked by calling it using its apply method.

The following example shows a control invocation:

control Callee(inout IPv4 ipv4) { /* body omitted */ }
control Caller(inout Headers h) {
     Callee() instance;  // instance of callee
     apply {
          instance.apply(h.ipv4);  // invoke control
     }
}

A control apply method type definition is implicitly introduced by a control declaration. Its semantics is explained in Section 11.12. A control apply method is represented internally as follows:

controlApplyMethodTypeDefIR = controlApplyMethodTypeIR

controlApplyMethodTypeIR
   : CONTROL_APPLY `( parameterIR* )
   ;

controlApplyMethodDef
   : CONTROL_APPLY `( parameterListIR )
       `{ controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR }
   ;
9.5.3.1. Well-formedness
Click to view the specification source
rulegroup CallableType_wf/controlApplyMethodTypeIR:
  rule CallableType_wf/controlApplyMethodTypeIR:
  B |- CONTROL_APPLY `(parameterIR*)
 -- (ParameterType_wf: B |- parameterIR)*
 -- (if (~$is_optional_parameterIR(parameterIR)))*
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_controlApplyMethod(typeIR))*
  1. Check that parameterIR is a well-formed parameter, with bound type variables B, for all parameterIR in parameterIR*.

  2. Check that parameterIR is not an optional parameter, for all parameterIR in parameterIR*.

  3. Let typeIR* be the list obtained by repeating:

    • Let typeIR be the type of parameterIR.

    for each parameterIR in parameterIR*

  4. Check that typeIR can be used in a control apply method type, for all typeIR in typeIR*.

  5. Then, the relation holds.

9.5.4. Table apply methods

A table can be invoked by calling its apply method. Calling an apply method on a table instance returns a synthesized table metadata structure, explained in Section 8.6.6.

A table apply method definition is introduced by a table declaration. Its semantics rule is explained in [sec-table-declaration]. A table declaration may not be generic. Thus, the table apply method type definition does not have type parameters, and is same as the table apply method type. A table apply method is represented internally as follows:

tableApplyMethodTypeDefIR = tableApplyMethodTypeIR

tableApplyMethodTypeIR
   : TABLE_APPLY : tableMetadataStructTypeIR
   ;

tableApplyMethodDef
   : TABLE_APPLY `{ tablePropertyListIR }
   ;
9.5.4.1. Well-formedness
Click to view the specification source
rulegroup CallableType_wf/tableApplyMethodTypeIR:
  rule CallableType_wf/tableApplyMethodTypeIR:
  B |- TABLE_APPLY : tableMetadataStructTypeIR

9.5.5. Built-in methods

Built-in methods are methods associated with certain types defined by the P4 language. Thus, they do not have method type definitions, and only have method types. The internal representations are:

builtinMethodTypeIR
   : BUILTIN_METHOD nameIR `( parameterIR* ) : typeIR
   ;

10. P4 objects and constructors

10.1. Objects

tables, value_sets, and extern objects are stateful entities in P4 programs. These objects should be instantiated statically prior to program execution. parsers, controls, and packages may contain stateful objects, thus they must also be instantiated.

The runtime representation of these objects is defined as follows:

object
   : externObject
   | parserObject
   | controlObject
   | packageObject
   | tableObject
   | valueSetObject
   ;

The instantiation phase (described in Section 7.3) creates objects in the source P4 program, and allocates them in the global store. At runtime (described in Section 7.4), these objects interact, as defined by the target architecture, to process packets.

10.1.1. Fully-qualified names

Instantiation may create multiple instances of a type, each of which must have a unique, fully-qualified name. Thus, objects are identified by their full-qualified names (objectId). Section 7.3.1 describes how a fully-qualified name is constructed.

objectId = nameIR*

10.2. Constructors

Objects can be instantiated in three ways:

Instantiations and constructor call expressions invoke constructors, which creates an object as a result. Direct application statements are syntactic sugar for instantiations of parser and control objects.

Constructor invocation is similar to callable invocation; constructors can also be overloaded, and called using named arguments.

The following example shows a constructor invocation for setting the target-dependent implementation property of a table:

extern ActionProfile {
    ActionProfile(bit<32> size);  // constructor
}
table tbl {
    actions = { /* body omitted */ }
    implementation = ActionProfile(1024);  // constructor invocation
}

10.2.1. Constructor parameters

In order to support libraries of useful P4 components, externs, parsers, controls, and packages can additionally be parameterized through the use of constructor parameters.

Consider the parser declaration syntax:

parserDeclaration
   : annotationList PARSER name typeParameterListOpt `( parameterList )
       constructorParameterListOpt
       `{ parserLocalDeclarationList parserStateList }
   ;

constructorParameterListOpt
   : /* empty */
   | `( parameterList )
   ;

From this grammar fragment we infer that a parser declaration may have two sets of parameters:

  • The runtime parser parameters (parameterList)

  • Optional parser constructor parameters (constructorParameterListOpt)

Because constructors are evaluated entirely at compilation time, all constructor arguments must be expressions that can be evaluated at compilation time. In consequence, constructor parameters must be directionless (i.e., they cannot be in, out, or inout).

Consider the following example:

parser GenericParser(packet_in b, out Packet_header p)
                    (bool udpSupport) {   // constructor parameters
    state start {
        b.extract(p.ethernet);
        transition select(p.ethernet.etherType) {
            16w0x0800: ipv4;
        }
    }
    state ipv4 {
        b.extract(p.ipv4);
        transition select(p.ipv4.protocol) {
           6: tcp;
           17: tryudp;
        }
    }
    state tryudp {
        transition select(udpSupport) {
            false: accept;
            true : udp;
        }
    }
    state udp {
         // body omitted
    }
}

When instantiating the GenericParser it is necessary to supply a value for the udpSupport parameter, as in the following example:

// topParser is a GenericParser where udpSupport = false
GenericParser(false) topParser;

Internally, constructor parameters are represented as:

constructorParameterIR = parameterIR

parameterIR
   : annotationList direction typeIR id parameterInitializerOptIR
   ;
10.2.1.1. Well-formedness
Click to view the specification source
rulegroup ConstructorParameterType_wf:
  rule ConstructorParameterType_wf:
  B |- constructorParameterIR
 -- if _ `EMPTY _ _ _ = constructorParameterIR
 -- ParameterType_wf: B |- constructorParameterIR
  1. Let direction be the direction of constructorParameterIR.

  2. Check that direction is `EMPTY.

  3. Check that constructorParameterIR is a well-formed parameter, with bound type variables B.

  4. Then, the relation holds.

10.2.2. Constructor definitions

Similar to how type declarations introduce type definitions and callable declarations introduce callable definitions (see Section 9.2), constructor declarations introduce constructor definitions. These are parameterized by type parameters, and produces a constructor type when specialized with specific type arguments.

The runtime representation of constructors is defined as follows:

constructorDef
   : externObjectConstructorDef
   | parserObjectConstructorDef
   | controlObjectConstructorDef
   | packageObjectConstructorDef
   ;

When type arguments and constructor arguments are supplied to a constructor definition, an object of the constructed type is created.

Similar to how callable types are internally used during type checking to represent callables, constructor types internally represent the types of constructors.

constructorTypeIR
   : CONSTRUCTOR `( constructorParameterIR* ) : typeIR
   ;

constructorTypeDefIR
   : CONSTRUCTOR `< typeParameterIR* , typeParameterIR* >
       `( constructorParameterIR* ) : typeIR
   ;
10.2.2.1. Well-formedness
Click to view the specification source
rulegroup ConstructorTypeDef_wf:
  rule ConstructorTypeDef_wf:
  B |- constructorTypeDefIR
 -- if CONSTRUCTOR `<typeParameterIR_expl* , typeParameterIR_impl*> `(parameterIR*) : typeIR_object = constructorTypeDefIR
 -- if $definable_constructor(typeIR_object)
 -- if typeParameterIR* = typeParameterIR_expl* ++ typeParameterIR_impl*
 -- if $distinct_<typeId>(typeParameterIR*)
 -- if B_inner = $union_set<typeId>(B, `{typeParameterIR*})
 -- ConstructorType_wf: B_inner |- CONSTRUCTOR `(parameterIR*) : typeIR_object
  1. Let CONSTRUCTOR < typeParameterIRexpl* , typeParameterIRimpl* > ( parameterIR* ) : typeIRobject be constructorTypeDefIR.

  2. Check that typeIRobject can be constructed.

  3. Let typeParameterIR* be typeParameterIRexpl* concatenated with typeParameterIRimpl*.

  4. Check that the elements of typeParameterIR* are distinct.

  5. Let Binner be the union of the sets B and { typeParameterIR* }.

  6. Check that CONSTRUCTOR ( parameterIR* ) : typeIRobject is a well-formed constructor type, with bound type variables Binner.

  7. Then, the relation holds.

10.3. Extern objects

An extern object declaration introduces an extern object type and its associated methods. Extern object declarations can also optionally declare constructor methods; these must have the same name as the enclosing extern type, no type parameters, and no return type.

externConstructorPrototype
   : annotationList typeIdentifier `( parameterList ) ;
   ;

externMethodPrototype
   : annotationList functionPrototype ;
   | annotationList ABSTRACT functionPrototype ;
   ;

externObjectDeclaration
   : annotationList EXTERN nonTypeName typeParameterListOpt
       `{ externConstructorOrMethodPrototypeList }
   ;

Internally, an extern object constructor is represented as:

externObjectConstructorDef
   : EXTERN nameIR `< typeParameterListIR > `( constructorParameterListIR )
       `{ externMethodPrototypeListIR }
   ;

externMethodPrototypeIR
   : annotationList functionPrototypeIR ;
   | annotationList ABSTRACT functionPrototypeIR ;
   ;

Extern objects are then instantiated by constructor invocations to yield:

externObject
   : EXTERN typeId `< theta > `{ objectState frame externMethodDefEnv }
   ;

The only operation on extern objects is invoking a method of an extern object instance using a method call expression.

Controls, parsers, packages, and extern constructors can have parameters of type extern only if they are directionless parameters. Extern object instances can thus be used as arguments in the construction of such objects.

No other operations are available on extern objects, e.g., equality comparison is not defined.

10.3.1. Well-formedness

Click to view the specification source
rulegroup ConstructorType_wf/externObjectTypeIR:
  rule ConstructorType_wf/externObjectTypeIR:
  B |- CONSTRUCTOR `(parameterIR*) : typeIR_object
 -- (ConstructorParameterType_wf: B |- parameterIR)*
 -- Type_wf: B |- typeIR_object
 -- if externObjectTypeIR = $unroll_typeIR(typeIR_object)
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_constructor_extern(typeIR))*
  1. Check that parameterIR is a well-formed constructor parameter, with bound type variables B, for all parameterIR in parameterIR*.

  2. Check that typeIRobject is a well-formed type, with bound type variables B.

  3. Let typeIR be typeIRobject with typedefs unrolled.

  4. Check that typeIR has type externObjectTypeIR.

  5. Let typeIR'* be the list obtained by repeating:

    • Let typeIR' be the type of parameterIR.

    for each parameterIR in parameterIR*

  6. Check that typeIR' can be used in an extern constructor type, for all typeIR' in typeIR'*.

  7. Then, the relation holds.

10.3.2. Instantiation

Click to view the specification source
rulegroup Constructor_call/externConstructorDef:
  rule Constructor_call/externConstructorDef:
  p IC STO_0 |- externObjectConstructorDef `<typeArgumentIR*> `(argumentIR* # id_default* # id_optional*) : STO_2 object_extern
 -- if EXTERN nameIR `<typeParameterIR*> `(constructorParameterIR*) `{externMethodPrototypeIR*} = externObjectConstructorDef
 -- if p_callee = BLOCK
 -- if IC_callee_0 = $inherit_i(GLOBAL, IC)
 -- if theta = `{(typeParameterIR : typeArgumentIR)*}
 -- if IC_callee_1 = IC_callee_0[BLOCK.TYPE = theta]
 -- if GIVEN constructorParameterIR_aligned* DEFAULT constructorParameterIR_default* = $align_parameterListIR(constructorParameterIR*, argumentIR*, id_default*, id_optional*)
 -- (if (_ _ _ id_aligned _ = constructorParameterIR_aligned))*
 -- Copy_in_inst: STO_0 p IC argumentIR* @ p_callee IC_callee_1 id_aligned* ~> STO_1 IC_callee_2
 -- Copy_in_inst_default: STO_0 p IC @ p_callee IC_callee_2 constructorParameterIR_default* ~> STO_2 IC_callee_3
 -- ExternMethods_inst: IC_callee_3 |- externMethodPrototypeIR* : IC_callee_4
 -- if `{(callableId : externMethodDef)*} = IC_callee_4.BLOCK.CALLABLE
 -- (if (_ _ _ id_cparam _ = constructorParameterIR))*
 -- (if (value_cparam = $find_map<id, value>(IC_callee_4.BLOCK.FRAME, id_cparam)))*
 -- if objectState = $init_objectState(nameIR, typeArgumentIR*, value_cparam*)
 -- if theta_extern = IC_callee_4.BLOCK.TYPE
 -- if frame_extern = IC_callee_4.BLOCK.FRAME
 -- if externMethodDefEnv_extern = `{(callableId : externMethodDef)*}
 -- if object_extern = EXTERN nameIR `<theta_extern> `{objectState frame_extern externMethodDefEnv_extern}
  1. Let EXTERN nameIR < typeParameterIR* > ( constructorParameterIR* ) { externMethodPrototypeIR* } be externObjectConstructorDef.

  2. Let pcallee be BLOCK.

  3. Let ICcallee_0 be an instantiation context same as IC up to the GLOBAL layer.

  4. Let theta be { ( typeParameterIR : typeArgumentIR )* }.

  5. Let ICcallee_1 be ICcallee_0 with BLOCK.TYPE set to theta.

  6. Let GIVEN constructorParameterIRaligned* DEFAULT constructorParameterIRdefault* be aligning constructorParameterIR* with argumentIR* where defaults are iddefault* and optionals are idoptional*.

  7. Let idaligned* be the list obtained by repeating:

    • Let idaligned be the name of constructorParameterIRaligned.

    for each constructorParameterIRaligned in constructorParameterIRaligned*

  8. Let store STO1 and context ICcallee_2 be

  9. Let store STO2 and context ICcallee_3 be

  10. Let context ICcallee_4 be

  11. Let { ( callableId : callableDef )* } be ICcallee_4.BLOCK.CALLABLE.

  12. Check that callableDef has type externMethodDef, for all callableDef in callableDef*.

  13. Let externMethodDef* be the list obtained by repeating:

    • Let externMethodDef be callableDef.

    for each callableDef in callableDef*

  14. Let idcparam* be the list obtained by repeating:

    • Let idcparam be the name of constructorParameterIR.

    for each constructorParameterIR in constructorParameterIR*

  15. Let value?* be the list obtained by repeating:

    for each idcparam in idcparam*

  16. Check that value? is defined, for all value? in value?*.

  17. Let valuecparam* be the list obtained by repeating:

    • Let valuecparam be value?.

    for each value? in value?*

  18. Let objectState be initialization of nameIR< typeArgumentIR* >( valuecparam* ) in the target.

  19. Let thetaextern be ICcallee_4.BLOCK.TYPE.

  20. Let frameextern be ICcallee_4.BLOCK.FRAME.

  21. Let externMethodDefEnvextern be { ( callableId : externMethodDef )* }.

  22. Let objectextern be EXTERN nameIR < thetaextern > { objectState frameextern externMethodDefEnvextern }.

  23. Result in store STO2 and instantiated objectextern.

10.4. Parser objects

A parser declaration comprises a name, a list of parameters, an optional list of constructor parameters, local elements, and parser states (as well as optional annotations).

parserDeclaration
   : annotationList PARSER name typeParameterListOpt `( parameterList )
       constructorParameterListOpt
       `{ parserLocalDeclarationList parserStateList }
   ;

parserLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | valueSetDeclaration
   ;

parserState
   : annotationList STATE name `{ parserStatementList transitionStatement }
   ;

At least one state, named start, must be present in any parser. A parser may not define two states with the same name. It is also illegal for a parser to give explicit definitions for the accept and reject states—​those states are logically distinct from the states defined by the programmer.

Preceding the parser states, a parser may also contain a list of local elements. These can be constants, variables, or instantiations of objects that may be used within the parser. Such objects may be instantiations of extern objects, or other parsers that may be invoked as subroutines. However, it is illegal to instantiate a control block within a parser.

The states and local elements are all in the same namespace, thus the following example will produce an error:

// erroneous example
parser p() {
    bit<4> t;
    state start {
       t = 1;
       transition t;
    }
    state t {  // error: name t is duplicated
       transition accept;
    }
}

For an example containing a complete declaration of a parser see Section 5.3.

A parser declaration introduces a parser object constructor, represented as:

parserObjectConstructorDef
   : PARSER `< typeParameterListIR > `( parameterListIR )
       `( constructorParameterListIR )
       `{ parserLocalDeclarationListIR parserStateListIR }
   ;

Parser objects are then instantiated by constructor invocations to yield:

parserObject
   : PARSER `< theta > `( parameterListIR )
       `{ frame parserLocalDeclarationListIR stateEnv }
   ;

10.4.1. Well-formedness

Click to view the specification source
rulegroup ConstructorType_wf/parserObjectTypeIR:
  rule ConstructorType_wf/parserObjectTypeIR:
  B |- CONSTRUCTOR `(parameterIR*) : typeIR_object
 -- (ConstructorParameterType_wf: B |- parameterIR)*
 -- (if (~$is_optional_parameterIR(parameterIR)))*
 -- Type_wf: B |- typeIR_object
 -- if parserObjectTypeIR = $unroll_typeIR(typeIR_object)
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_constructor_parser(typeIR))*
  1. Check that parameterIR is a well-formed constructor parameter, with bound type variables B, for all parameterIR in parameterIR*.

  2. Check that parameterIR is not an optional parameter, for all parameterIR in parameterIR*.

  3. Check that typeIRobject is a well-formed type, with bound type variables B.

  4. Let typeIR be typeIRobject with typedefs unrolled.

  5. Check that typeIR has type parserObjectTypeIR.

  6. Let typeIR'* be the list obtained by repeating:

    • Let typeIR' be the type of parameterIR.

    for each parameterIR in parameterIR*

  7. Check that typeIR' can be used in a parser constructor type, for all typeIR' in typeIR'*.

  8. Then, the relation holds.

10.4.2. Instantiation

Click to view the specification source
rulegroup Constructor_call/parserConstructorDef:
  rule Constructor_call/parserConstructorDef:
  p IC STO_0 |- parserObjectConstructorDef `<typeArgumentIR*> `(argumentIR* # id_default* # id_optional*) : STO_4 object_parser
 -- if PARSER `<typeParameterIR*> `(parameterIR*) `(constructorParameterIR*) `{parserLocalDeclarationIR* parserStateIR*} = parserObjectConstructorDef
 -- if p_callee = BLOCK
 -- if IC_callee_0 = $inherit_i(GLOBAL, IC)
 -- if theta_parser = `{(typeParameterIR : typeArgumentIR)*}
 -- if IC_callee_1 = IC_callee_0[BLOCK.TYPE = theta_parser]
 -- if GIVEN constructorParameterIR_aligned* DEFAULT constructorParameterIR_default* = $align_parameterListIR(constructorParameterIR*, argumentIR*, id_default*, id_optional*)
 -- (if (_ _ _ id_aligned _ = constructorParameterIR_aligned))*
 -- Copy_in_inst: STO_0 p IC argumentIR* @ p_callee IC_callee_1 id_aligned* ~> STO_1 IC_callee_2
 -- Copy_in_inst_default: STO_0 p IC @ p_callee IC_callee_2 constructorParameterIR_default* ~> STO_2 IC_callee_3
 -- ParserLocalDecls_inst: IC_callee_3 STO_2 |- parserLocalDeclarationIR* : IC_local STO_3 parserLocalDeclarationIR_inst*
 -- ParserStates_inst: IC_local STO_3 |- parserStateIR* : IC_state STO_4
 -- if frame_parser = IC_callee_3.BLOCK.FRAME
 -- if stateEnv_parser = IC_state.BLOCK.STATE
 -- if object_parser = PARSER `<theta_parser> `(parameterIR*) `{frame_parser parserLocalDeclarationIR_inst* stateEnv_parser}
  1. Let PARSER < typeParameterIR* > ( parameterIR* ) ( constructorParameterIR* ) { parserLocalDeclarationIR* parserStateIR* } be parserObjectConstructorDef.

  2. Let pcallee be BLOCK.

  3. Let ICcallee_0 be an instantiation context same as IC up to the GLOBAL layer.

  4. Let thetaparser be { ( typeParameterIR : typeArgumentIR )* }.

  5. Let ICcallee_1 be ICcallee_0 with BLOCK.TYPE set to thetaparser.

  6. Let GIVEN constructorParameterIRaligned* DEFAULT constructorParameterIRdefault* be aligning constructorParameterIR* with argumentIR* where defaults are iddefault* and optionals are idoptional*.

  7. Let idaligned* be the list obtained by repeating:

    • Let idaligned be the name of constructorParameterIRaligned.

    for each constructorParameterIRaligned in constructorParameterIRaligned*

  8. Let store STO1 and context ICcallee_2 be

  9. Let store STO2 and context ICcallee_3 be

  10. Let context IClocal, store STO3, and parserLocalDeclarationIRinst* be

  11. Let context ICstate and store STO4 be

  12. Let frameparser be ICcallee_3.BLOCK.FRAME.

  13. Let stateEnvparser be ICstate.BLOCK.STATE.

  14. Let objectparser be PARSER < thetaparser > ( parameterIR* ) { frameparser parserLocalDeclarationIRinst* stateEnvparser }.

  15. Result in store STO4 and instantiated objectparser.

10.5. Control objects

P4 parsers are responsible for extracting bits from a packet into headers. These headers (and other metadata) can be manipulated and transformed within control blocks. The body of a control block resembles a traditional imperative program. Within the body of a control block, match-action units can be invoked to perform data transformations. Match-action units are represented in P4 by constructs called tables.

Syntactically, a control block is declared with a name, parameters, optional type parameters, and a sequence of declarations of constants, variables, actions, tables, and other instantiations:

controlDeclaration
   : annotationList CONTROL name typeParameterListOpt `( parameterList )
       constructorParameterListOpt
       `{ controlLocalDeclarationList APPLY controlBody }
   ;

controlLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | actionDeclaration
   | tableDeclaration
   ;

controlBody = blockStatement

It is illegal to instantiate a parser within a control block.

P4 does not support exceptional control-flow within a control block. The only statement which has a non-local effect on control flow is exit, which causes execution of the enclosing control block to immediately terminate. That is, there is no equivalent of the verify statement or the reject state from parsers. Hence, all error handling must be performed explicitly by the programmer.

A control declaration introduces a control object constructor, represented as:

controlObjectConstructorDef
   : CONTROL `< typeParameterListIR > `( parameterListIR )
       `( constructorParameterListIR )
       `{ controlLocalDeclarationListIR APPLY controlBodyIR }
   ;

Control objects are then instantiated by constructor invocations to yield:

controlObject
   : CONTROL `< theta > `( parameterListIR )
       `{ frame controlLocalDeclarationListIR actionDefEnv controlBodyIR }
   ;

10.5.1. Well-formedness

Click to view the specification source
rulegroup ConstructorType_wf/controlObjectTypeIR:
  rule ConstructorType_wf/controlObjectTypeIR:
  B |- CONSTRUCTOR `(parameterIR*) : typeIR_object
 -- (ConstructorParameterType_wf: B |- parameterIR)*
 -- (if (~$is_optional_parameterIR(parameterIR)))*
 -- Type_wf: B |- typeIR_object
 -- if controlObjectTypeIR = $unroll_typeIR(typeIR_object)
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_constructor_control(typeIR))*
  1. Check that parameterIR is a well-formed constructor parameter, with bound type variables B, for all parameterIR in parameterIR*.

  2. Check that parameterIR is not an optional parameter, for all parameterIR in parameterIR*.

  3. Check that typeIRobject is a well-formed type, with bound type variables B.

  4. Let typeIR be typeIRobject with typedefs unrolled.

  5. Check that typeIR has type controlObjectTypeIR.

  6. Let typeIR'* be the list obtained by repeating:

    • Let typeIR' be the type of parameterIR.

    for each parameterIR in parameterIR*

  7. Check that typeIR' can be used in a control constructor type, for all typeIR' in typeIR'*.

  8. Then, the relation holds.

10.5.2. Instantiation

Click to view the specification source
rulegroup Constructor_call/controlConstructorDef:
  rule Constructor_call/controlConstructorDef:
  p IC STO_0 |- controlObjectConstructorDef `<typeArgumentIR*> `(argumentIR* # id_default* # id_optional*) : STO_4 object_control
 -- if CONTROL `<typeParameterIR*> `(parameterIR*) `(constructorParameterIR*) `{controlLocalDeclarationIR* APPLY controlBodyIR} = controlObjectConstructorDef
 -- if p_callee = BLOCK
 -- if IC_callee_0 = $inherit_i(GLOBAL, IC)
 -- if theta_control = `{(typeParameterIR : typeArgumentIR)*}
 -- if IC_callee_1 = IC_callee_0[BLOCK.TYPE = theta_control]
 -- if GIVEN constructorParameterIR_aligned* DEFAULT constructorParameterIR_default* = $align_parameterListIR(constructorParameterIR*, argumentIR*, id_default*, id_optional*)
 -- (if (_ _ _ id_aligned _ = constructorParameterIR_aligned))*
 -- Copy_in_inst: STO_0 p IC argumentIR* @ p_callee IC_callee_1 id_aligned* ~> STO_1 IC_callee_2
 -- Copy_in_inst_default: STO_0 p IC @ p_callee IC_callee_2 constructorParameterIR_default* ~> STO_2 IC_callee_3
 -- ControlLocalDecls_inst: IC_callee_3 STO_2 |- controlLocalDeclarationIR* : IC_local_0 STO_3 controlLocalDeclarationIR_inst*
 -- Block_inst: IC_local_0 STO_3 |- controlBodyIR : IC_local_1 STO_4 controlBodyIR_inst
 -- if frame_control = IC_callee_3.BLOCK.FRAME
 -- if `{(callableId : actionDef)*} = IC_local_1.BLOCK.CALLABLE
 -- if actionDefEnv_control = `{(callableId : actionDef)*}
 -- if object_control = CONTROL `<theta_control> `(parameterIR*) `{frame_control controlLocalDeclarationIR_inst* `{(callableId : actionDef)*} controlBodyIR_inst}
  1. Let CONTROL < typeParameterIR* > ( parameterIR* ) ( constructorParameterIR* ) { controlLocalDeclarationIR* APPLY controlBodyIR } be controlObjectConstructorDef.

  2. Let pcallee be BLOCK.

  3. Let ICcallee_0 be an instantiation context same as IC up to the GLOBAL layer.

  4. Let thetacontrol be { ( typeParameterIR : typeArgumentIR )* }.

  5. Let ICcallee_1 be ICcallee_0 with BLOCK.TYPE set to thetacontrol.

  6. Let GIVEN constructorParameterIRaligned* DEFAULT constructorParameterIRdefault* be aligning constructorParameterIR* with argumentIR* where defaults are iddefault* and optionals are idoptional*.

  7. Let idaligned* be the list obtained by repeating:

    • Let idaligned be the name of constructorParameterIRaligned.

    for each constructorParameterIRaligned in constructorParameterIRaligned*

  8. Let store STO1 and context ICcallee_2 be

  9. Let store STO2 and context ICcallee_3 be

  10. Let context IClocal_0, store STO3, and controlLocalDeclarationIRinst* be

  11. Let context IClocal_1, store STO4, and controlBodyIRinst be

  12. Let framecontrol be ICcallee_3.BLOCK.FRAME.

  13. Let { ( callableId : callableDef )* } be IClocal_1.BLOCK.CALLABLE.

  14. Check that callableDef has type actionDef, for all callableDef in callableDef*.

  15. Let actionDef* be the list obtained by repeating:

    • Let actionDef be callableDef.

    for each callableDef in callableDef*

  16. Let objectcontrol be CONTROL < thetacontrol > ( parameterIR* ) { framecontrol controlLocalDeclarationIRinst* { ( callableId : actionDef )* } controlBodyIRinst }.

  17. Result in store STO4 and instantiated objectcontrol.

10.6. Table objects

maudataflow
Figure 11. Match-Action Unit Dataflow.

A table describes a match-action unit. The structure of a match-action unit is shown in Figure 11. Processing a packet using a match-action table executes the following steps:

  • Key construction.

  • Key lookup in a lookup table (the "match" step). The result of key lookup is an "action".

  • Action execution (the "action step") over the input data, resulting in mutations of the data.

A table declaration introduces a table instance. To obtain multiple instances of a table, it must be declared within a control block that is itself instantiated multiple times.

The look-up table is a finite map whose contents are manipulated asynchronously (read/write) by the target control plane, through a separate control-plane API (see Figure 11). Note that the term "table" is overloaded: it can refer to the P4 table objects that appear in P4 programs, as well as the internal look-up tables used in targets. We will use the term "match-action unit" when necessary to disambiguate.

Syntactically, a table is defined in terms of a set of key-value properties. Some of these properties are "standard" properties, but the set of properties can be extended by target-specific compilers as needed. Note that duplicated properties are invalid and the compiler should reject them.

tableDeclaration
   : annotationList TABLE name `{ tablePropertyList }
   ;

tablePropertyList
   : /* empty */
   | tablePropertyList tableProperty
   ;

tableProperty
   : KEY = `{ tableKeyList }
   | ACTIONS = `{ tableActionList }
   | annotationList constOpt ENTRIES = `{ tableEntryList }
   | annotationList constOpt tableCustomName initializer ;
   ;

See Section 16.3 for details on the table properties.

A table declaration creates a table object, thus table constructors are not defined in P4IR. Table objects are defined as:

tableObject
   : TABLE typeId `{ frame tableObjectProperty }
   ;

tablePropertyIR
   : tableKeysPropertyIR
   | tableActionsPropertyIR
   | tableDefaultActionPropertyIR
   | tableEntriesPropertyIR
   | tableCustomPropertyIR
   ;

tableObjectProperty = {
  KEYS tableKeysPropertyIR,
  ACTIONS tableActionsPropertyIR,
  DEFAULT_ACTION tableDefaultActionPropertyIR,
  ENTRIES tableEntriesPropertyIR,
  CUSTOMS tableCustomPropertyIR*
}

10.6.1. Well-formedness

Click to view the specification source
rulegroup ConstructorType_wf/tableObjectTypeIR:
  rule ConstructorType_wf/tableObjectTypeIR:
  B |- CONSTRUCTOR `(eps) : typeIR_object
 -- Type_wf: B |- typeIR_object
 -- if tableObjectTypeIR = $unroll_typeIR(typeIR_object)

10.7. Parser value set objects

In some cases, the values that determine the transition from one parser state to another need to be determined at runtime. MPLS is one example where the value of the MPLS label field is used to determine what headers follow the MPLS tag and this mapping may change dynamically at runtime. To support this functionality, P4 supports the notion of a Parser Value Set. This is a named set of values with a runtime API to add and remove values from the set.

Value sets are declared locally within a parser. They should be declared before being referenced in parser keysetExpression and can be used as a label in a select expression.

The syntax for declaring value sets is:

valueSetDeclaration
   : annotationList VALUE_SET `< valueSetType > `( expression ) name ;
   ;

valueSetType
   : baseType
   | tupleType
   | prefixedTypeName
   ;

Parser Value Sets support a size argument to provide hints to the compiler to reserve hardware resources to implement the value set. Thus, the size argument must be a compile-time known value. For example, this parser value set:

value_set<bit<16>>(4) pvs;

creates a value_set of size 4 with entries of type bit<16>.

The semantics of the size argument is similar to the size property of a table. If a value set has a size argument with value N, it is recommended that a compiler should choose a data plane implementation that is capable of storing N value set entries. See "Size property of P4 tables and parser value sets" [1] for further discussion on the implementation of parser value set size.

The value set is populated by the control plane by methods specified in the P4Runtime specification.[2]

Similar to tables, a value_set declaration creates a new parser value set object. Thus, no constructor is defined for them. The object is represented as:

valueSetObject
   : VALUE_SET `{ value* `( nat ) }
   ;

10.8. Package objects

A package type declaration introduces a package object constructor.

packageTypeDeclaration
   : annotationList PACKAGE name typeParameterListOpt `( parameterList ) ;
   ;

All parameters of a package are evaluated at compilation time, and in consequence they must all be directionless (they cannot be in, out, or inout). Otherwise package types are very similar to parser type declarations. Packages can only be instantiated; there are no runtime behaviors associated with them.

Package object constructors are defined as follows:

packageObjectConstructorDef
   : PACKAGE `< typeParameterListIR > `( constructorParameterListIR )
   ;

Package objects are then instantiated to yield:

packageObject
   : PACKAGE `< theta > `{ frame }
   ;

10.8.1. Well-formedness

Click to view the specification source
rulegroup ConstructorType_wf/packageObjectTypeIR:
  rule ConstructorType_wf/packageObjectTypeIR:
  B |- CONSTRUCTOR `(parameterIR*) : typeIR_object
 -- (ConstructorParameterType_wf: B |- parameterIR)*
 -- Type_wf: B |- typeIR_object
 -- if packageObjectTypeIR = $unroll_typeIR(typeIR_object)
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- (if $nestable_constructor_package(typeIR))*
  1. Check that parameterIR is a well-formed constructor parameter, with bound type variables B, for all parameterIR in parameterIR*.

  2. Check that typeIRobject is a well-formed type, with bound type variables B.

  3. Let typeIR be typeIRobject with typedefs unrolled.

  4. Check that typeIR has type packageObjectTypeIR.

  5. Let typeIR'* be the list obtained by repeating:

    • Let typeIR' be the type of parameterIR.

    for each parameterIR in parameterIR*

  6. Check that typeIR' can be used in a package constructor type, for all typeIR' in typeIR'*.

  7. Then, the relation holds.

10.8.2. Instantiation

Click to view the specification source
rulegroup Constructor_call/packageConstructorDef:
  rule Constructor_call/packageConstructorDef:
  p IC STO_0 |- packageObjectConstructorDef `<typeArgumentIR*> `(argumentIR* # id_default* # id_optional*) : STO_2 object_package
 -- if PACKAGE `<typeParameterIR*> `(constructorParameterIR*) = packageObjectConstructorDef
 -- if p_callee = BLOCK
 -- if IC_callee_0 = $inherit_i(GLOBAL, IC)
 -- if IC_callee_1 = IC_callee_0[BLOCK.TYPE = `{(typeParameterIR : typeArgumentIR)*}]
 -- if GIVEN constructorParameterIR_aligned* DEFAULT constructorParameterIR_default* = $align_parameterListIR(constructorParameterIR*, argumentIR*, id_default*, id_optional*)
 -- (if (_ _ _ id_aligned _ = constructorParameterIR_aligned))*
 -- Copy_in_inst: STO_0 p IC argumentIR* @ p_callee IC_callee_1 id_aligned* ~> STO_1 IC_callee_2
 -- Copy_in_inst_default: STO_1 p IC @ p_callee IC_callee_2 constructorParameterIR_default* ~> STO_2 IC_callee_3
 -- if theta_package = IC_callee_3.BLOCK.TYPE
 -- if frame_package = IC_callee_3.BLOCK.FRAME
 -- if object_package = PACKAGE `<theta_package> `{frame_package}
  1. Let PACKAGE < typeParameterIR* > ( constructorParameterIR* ) be packageObjectConstructorDef.

  2. Let pcallee be BLOCK.

  3. Let ICcallee_0 be an instantiation context same as IC up to the GLOBAL layer.

  4. Let ICcallee_1 be ICcallee_0 with BLOCK.TYPE set to { ( typeParameterIR : typeArgumentIR )* }.

  5. Let GIVEN constructorParameterIRaligned* DEFAULT constructorParameterIRdefault* be aligning constructorParameterIR* with argumentIR* where defaults are iddefault* and optionals are idoptional*.

  6. Let idaligned* be the list obtained by repeating:

    • Let idaligned be the name of constructorParameterIRaligned.

    for each constructorParameterIRaligned in constructorParameterIRaligned*

  7. Let store STO1 and context ICcallee_2 be

  8. Let store STO2 and context ICcallee_3 be

  9. Let thetapackage be ICcallee_3.BLOCK.TYPE.

  10. Let framepackage be ICcallee_3.BLOCK.FRAME.

  11. Let objectpackage be PACKAGE < thetapackage > { framepackage }.

  12. Result in store STO2 and instantiated objectpackage.

11. Declarations

The syntax of top-level declarations is defined as follows:

declaration
   : constantDeclaration
   | instantiation
   | functionDeclaration
   | actionDeclaration
   | errorDeclaration
   | matchKindDeclaration
   | externDeclaration
   | parserDeclaration
   | controlDeclaration
   | typeDeclaration
   ;

externDeclaration
   : externFunctionDeclaration
   | externObjectDeclaration
   ;

typeDeclaration
   : derivedTypeDeclaration
   | typedefDeclaration
   | parserTypeDeclaration
   | controlTypeDeclaration
   | packageTypeDeclaration
   ;

As described in Chapter 7, declarations are type checked, instantiated at compile time, and evaluated at runtime.

11.1. Semantics of declarations

11.1.1. Type checking

Click to view the specification source
relation Decl_ok: typingContext |- declaration : typingContext declarationIR

After type checking, declarations are represented in P4IR as follows:

declarationIR
   : constantDeclarationIR
   | instantiationIR
   | functionDeclarationIR
   | actionDeclarationIR
   | errorDeclarationIR
   | matchKindDeclarationIR
   | externDeclarationIR
   | parserDeclarationIR
   | controlDeclarationIR
   | typeDeclarationIR
   ;

externDeclarationIR
   : externFunctionDeclarationIR
   | externObjectDeclarationIR
   ;

typeDeclarationIR
   : derivedTypeDeclarationIR
   | typedefDeclarationIR
   | parserTypeDeclarationIR
   | controlTypeDeclarationIR
   | packageTypeDeclarationIR
   ;

A list of declarations is type checked as follows:

Click to view the specification source
relation Decls_ok: typingContext |- declaration* : typingContext declarationIR*
Click to view the specification source
rulegroup Decls_ok:
  rule Decls_ok/nil:
  TC |- eps : TC eps
  rule Decls_ok/cons:
  TC_0 |- declaration_h :: declaration_t* : TC_2 (declarationIR_h :: declarationIR_t*)
 -- Decl_ok: TC_0 |- declaration_h : TC_1 declarationIR_h
 -- Decls_ok: TC_1 |- declaration_t* : TC_2 declarationIR_t*
  1. If declaration* is equal to ·:

    1. Result in context typingContext and ·.

  2. If let declarationh :: declarationt* be declaration*:

    1. Let context TC1 and declarationIRh be

    2. Let context TC2 and declarationIRt* be

    3. Result in context TC2 and declarationIRh :: declarationIRt*.

11.1.2. Compile-time evaluation

Click to view the specification source
relation Decl_inst: instContext store |- declarationIR : instContext store

Instantiation statically allocates instantiated objects in the global store. Section 11.4 describes how objects are instantiated from a declaration.

A list of declarations is instantiated as follows:

Click to view the specification source
relation Decls_inst: instContext store |- declarationIR* : instContext store
Click to view the specification source
rulegroup Decls_inst:
  rule Decls_inst/nil:
  IC STO |- eps : IC STO
  rule Decls_inst/cons:
  IC_0 STO_0 |- declarationIR_h :: declarationIR_t* : IC_2 STO_2
 -- Decl_inst: IC_0 STO_0 |- declarationIR_h : IC_1 STO_1
 -- Decls_inst: IC_1 STO_1 |- declarationIR_t* : IC_2 STO_2
  1. If declarationIR* is equal to ·:

    1. Result in context instContext and store store.

  2. If let declarationIRh :: declarationIRt* be declarationIR*:

    1. Let context IC1 and store STO1 be

    2. Let context IC2 and store STO2 be

    3. Result in context IC2 and store STO2.

11.1.3. Runtime evaluation

All declarations except constant and variable declarations are evaluated at compile-time. See Section 11.2 for the runtime evaluation of variable declarations and Section 11.3 for the runtime evaluation of constant declarations.

The subsequent sections describe each kind of declaration in detail.

11.2. Variable declarations

Local variables are declared with a type, a name, and an optional initializer (as well as an optional annotation):

variableDeclaration
   : annotationList type name initializerOpt ;
   ;

initializerOpt
   : /* empty */
   | initializer
   ;

initializer
   : = expression
   ;

Variable declarations without an initializer are uninitialized (except for headers and other header-related types, which are initialized to invalid in the same way as described for direction out parameters in Section 18.4). The language places few restrictions on the types of variables: most P4 types that can be written explicitly can be used (e.g., base types, struct, header, header stack, tuple). However, it is impossible to declare variables with type int, or with types that are only synthesized by the compiler (e.g., set) In addition, variables of type parser, control, package, or extern types must be declared using instantiations (see Section 11.4).

Reading the value of a variable that has not been initialized yields an undefined result. The compiler should attempt to detect and emit a warning in such situations.

Variable declarations can appear in the following locations within a P4 program:

  • In a block statement,

  • In a parser state,

  • In a control block’s apply sub-block,

  • In the list of local declarations in a parser, and

  • In the list of local declarations in a control.

Note that variable declarations cannot appear at the top level of a P4 program.

Variables have local scope, and behave like stack-allocated variables in languages such as C. The value of a variable is never preserved from one invocation of its enclosing block to the next. In particular, variables cannot be used to maintain state between different network packets.

11.2.1. Type checking

Variable declarations are type checked using the following relation:

Click to view the specification source
relation VarDecl_ok: cursor typingContext |- variableDeclaration : typingContext variableDeclarationIR

After typing, variable declarations are represented in P4IR as:

variableDeclarationIR
   : annotationList typeIR nameIR initializerOptIR ;
   ;

initializerIR
   : = typedExpressionIR
   ;

These are produced by the following rules:

Click to view the specification source
rulegroup VarDecl_ok:
  rule VarDecl_ok/non-initializer:
  p TC_0 |- annotationList type name `EMPTY ; : TC_1 variableDeclarationIR
 -- Type_ok: p TC_0 |- type : typeIR # eps
 -- Type_wf: $bound(p, TC_0) |- typeIR
 -- if $is_assignable_typeIR(typeIR)
 -- if nameIR = $name(name)
 -- if TC_1 = $add_var_t(p, TC_0, nameIR, INOUT typeIR DYN eps)
 -- if variableDeclarationIR = annotationList typeIR nameIR eps ;
  rule VarDecl_ok/initializer:
  p TC_0 |- annotationList type name (= expression_init) ; : TC_1 variableDeclarationIR
 -- Type_ok: p TC_0 |- type : typeIR # eps
 -- Type_wf: $bound(p, TC_0) |- typeIR
 -- if $is_assignable_typeIR(typeIR)
 -- Expr_ok: p TC_0 |- expression_init : typedExpressionIR_init
 -- if typedExpressionIR_init_cast = $cast_unary(typedExpressionIR_init, typeIR)
 -- if nameIR = $name(name)
 -- if TC_1 = $add_var_t(p, TC_0, nameIR, INOUT typeIR DYN eps)
 -- if variableDeclarationIR = annotationList typeIR nameIR (= typedExpressionIR_init_cast) ;
  1. If initializerOpt is `EMPTY:

    1. Let typeIR and fresh type variables typeId* be

    2. Check that typeId* is an empty list.

    3. Let bound be bound type variables from the p layer of TC0.

    4. Check that typeIR is a well-formed type, with bound type variables bound.

    5. Check that typeIR supports assignment.

    6. Let nameIR be the name of name.

    7. Let TC1 be TC0 where nameIR to INOUT typeIR DYN · is added to the p layer.

    8. Let variableDeclarationIR be annotationList typeIR nameIR · ;.

    9. Result in context TC1 and variableDeclarationIR.

  2. Else:

    1. Let = expressioninit be initializerOpt.

    2. Let typeIR and fresh type variables typeId* be

    3. Check that typeId* is an empty list.

    4. Let bound be bound type variables from the p layer of TC0.

    5. Check that typeIR is a well-formed type, with bound type variables bound.

    6. Check that typeIR supports assignment.

    7. Let typedExpressionIRinit be

    8. Let typedExpressionIRinit_cast be ! typedExpressionIRinit implicitly cast to typeIR.

    9. Let nameIR be the name of name.

    10. Let TC1 be TC0 where nameIR to INOUT typeIR DYN · is added to the p layer.

    11. Let variableDeclarationIR be annotationList typeIR nameIR = typedExpressionIRinit_cast ;.

    12. Result in context TC1 and variableDeclarationIR.

11.2.2. Runtime evaluation

Variable declarations are evaluated at runtime using the following relation:

Click to view the specification source
relation VarDecl_eval: cursor evalContext arch |- variableDeclarationIR : evalContext arch declarationResult

The result of evaluating a variable declaration is:

continueEmptyResult
   : /* empty */
   ;

exitResult
   : EXIT
   ;

abortResult
   : exitResult
   | rejectTransitionResult
   ;

declarationResult
   : continueEmptyResult
   | abortResult
   ;

See Section 13.7 for how exitResult may occur. The relation is defined by the following rule:

Click to view the specification source
rulegroup VarDecl_eval:
  rule VarDecl_eval/non-initializer:
  p EC_0 ARCH |- annotationList typeIR nameIR eps ; : EC_1 ARCH `EMPTY
 -- if typeIR_subst = $subst_type_e(BLOCK, EC_0, typeIR)
 -- if value_init = $default(typeIR_subst)
 -- if EC_1 = $add_var_e(p, EC_0, ` nameIR, value_init)
  rule VarDecl_eval/initializer-abort:
  p EC_0 ARCH_0 |- annotationList typeIR nameIR (= typedExpressionIR_init) ; : EC_1 ARCH_1 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_init : EC_1 ARCH_1 abortResult
  rule VarDecl_eval/initializer-cont:
  p EC_0 ARCH_0 |- annotationList typeIR nameIR (= typedExpressionIR_init) ; : EC_2 ARCH_1 `EMPTY
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_init : EC_1 ARCH_1 (` value_init)
 -- if EC_2 = $add_var_e(p, EC_1, ` nameIR, value_init)
  1. If initializerIR? is none:

    1. Let typeIRsubst be typeIR substituted by bound type variables in EC0 from the BLOCK layer.

    2. Let valueinit be the default value for type typeIRsubst.

    3. Let EC1 be EC0 where nameIR to valueinit is added to the p layer.

    4. Result in context EC1, state arch, and result `EMPTY.

  2. Else:

    1. Let = typedExpressionIRinit be initializerIR?.

    2. Let context EC1, state ARCH1 and expressionResult be

    3. If let abortResult be expressionResult:

      1. Result in context EC1, state ARCH1, and result abortResult.

    4. Else:

      1. Let valueinit be expressionResult.

      2. Let EC2 be EC1 where nameIR to valueinit is added to the p layer.

      3. Result in context EC2, state ARCH1, and result `EMPTY.

11.3. Constant declarations

Constant values are defined with the syntax:

constantDeclaration
   : annotationList CONST type name initializer ;
   ;

initializer
   : = expression
   ;

The initializer expression must be a local compile-time known value. A constant declaration introduces a constant whose value has the specified type. The following are all legal constant declarations:

const bit<32> COUNTER = 32w0x0;
struct Version {
    bit<32> major;
    bit<32> minor;
}
const Version version = { 32w0, 32w0 };

11.3.1. Type checking

Constant declarations are type checked with the relation:

Click to view the specification source
relation ConstDecl_ok: cursor typingContext |- constantDeclaration : typingContext constantDeclarationIR

After typing, in P4IR, constant declarations have the syntax:

constantDeclarationIR
   : annotationList CONST typeIR nameIR constantInitializerIR ;
   ;

constantInitializerIR
   : = `VALUE value
   ;

Notice that constantInitializerIR is reduced to a value in P4IR, where value is computed from initializer via local compile-time evaluation. It is defined by the following rule:

Click to view the specification source
rulegroup ConstDecl_ok:
  rule ConstDecl_ok:
  p TC_0 |- annotationList CONST type name (= expression_value) ; : TC_1 constantDeclarationIR
 -- Type_ok: p TC_0 |- type : typeIR # eps
 -- Type_wf: $bound(p, TC_0) |- typeIR
 -- Expr_ok: p TC_0 |- expression_value : typedExpressionIR_value
 -- if LCTK = $ctk_of_typedExpressionIR(typedExpressionIR_value)
 -- if typedExpressionIR_value_cast = $cast_unary(typedExpressionIR_value, typeIR)
 -- Expr_eval_lctk: p TC_0 |- typedExpressionIR_value_cast ~> value
 -- if nameIR = $name(name)
 -- if TC_1 = $add_var_t(p, TC_0, nameIR, `EMPTY typeIR LCTK value)
 -- if constantDeclarationIR = annotationList CONST typeIR nameIR (= `VALUE value) ;
  1. Let typeIR and fresh type variables typeId* be

  2. Check that typeId* is an empty list.

  3. Let bound be bound type variables from the p layer of TC0.

  4. Check that typeIR is a well-formed type, with bound type variables bound.

  5. Let typedExpressionIRvalue be

  6. Check that the compile-time known-ness of typedExpressionIRvalue is LCTK.

  7. Let typedExpressionIRvalue_cast be ! typedExpressionIRvalue implicitly cast to typeIR.

  8. Let value be

  9. Let nameIR be the name of name.

  10. Let TC1 be TC0 where nameIR to `EMPTY typeIR LCTK value is added to the p layer.

  11. Let constantDeclarationIR be annotationList CONST typeIR nameIR = `VALUE value ;.

  12. Result in context TC1 and constantDeclarationIR.

When used as a top-level declaration, constant declarations are typed with:

Click to view the specification source
rulegroup Decl_ok/constantDeclaration:
  rule Decl_ok/constantDeclaration:
  TC_0 |- constantDeclaration : TC_1 constantDeclarationIR
 -- ConstDecl_ok: GLOBAL TC_0 |- constantDeclaration : TC_1 constantDeclarationIR
  1. Let context TC1 and constantDeclarationIR be

  2. Result in context TC1 and constantDeclarationIR.

11.3.2. Compile-time evaluation

Constant declarations are evaluated during instantiation phase with:

Click to view the specification source
relation ConstDecl_inst: cursor instContext |- constantDeclarationIR : instContext

It is defined by the following rule:

Click to view the specification source
rulegroup ConstDecl_inst:
  rule ConstDecl_inst:
  p IC_0 |- annotationList CONST typeIR nameIR (= `VALUE value) ; : IC_1
 -- if IC_1 = $add_var_i(p, IC_0, nameIR, value)

When used as a top-level declaration, constant declarations are compile-time evaluated with:

Click to view the specification source
rulegroup Decl_inst/constantDeclarationIR:
  rule Decl_inst/constantDeclarationIR:
  IC_0 STO |- constantDeclarationIR : IC_1 STO
 -- ConstDecl_inst: GLOBAL IC_0 |- constantDeclarationIR : IC_1

11.3.3. Runtime evaluation

Constant declarations are evaluated at runtime using the following relation:

Click to view the specification source
relation ConstDecl_eval: cursor evalContext |- constantDeclarationIR : evalContext
Click to view the specification source
rulegroup ConstDecl_eval:
  rule ConstDecl_eval:
  p EC_0 |- annotationList CONST typeIR nameIR (= `VALUE value) ; : EC_1
 -- if EC_1 = $add_var_e(p, EC_0, ` nameIR, value)

11.4. Instantiations

Instantiations are similar to variable declarations, but are reserved for the types with constructors (extern objects, control blocks, parsers, and packages):

instantiation
   : annotationList type `( argumentList ) name ;
   | annotationList type `( argumentList ) name objectInitializer ;
   ;

An instantiation is written as a constructor invocation followed by a name. Instantiations are always executed at compilation time (Section Section 7.3). The effect is to allocate an object with the specified name, and to bind it to the result of the constructor invocation. Note that instantiation arguments can be specified by name.

For example, a hypothetical bank of counter objects can be instantiated as follows:

// from target library
enum CounterType {
   Packets,
   Bytes,
   Both
}
extern Counter {
    Counter(bit<32> size, CounterType type);
    void increment(in bit<32> index);
}
// user program
control c(/* parameters omitted */) {
    Counter(32w1024, CounterType.Both) ctr;  // instantiation
    apply { /* body omitted */ }
}

A P4 program may not instantiate controls and parsers at the top-level. This restriction is designed to ensure that most state resides in the architecture itself, or is local to a parser or control. For example, the following program is not valid:

// Program
control c(/* parameters omitted */) { /* body omitted */ }
c() c1;  // illegal top-level instantiation

because control c1 is instantiated at the top-level. Note that top-level declarations of constants and instantiations of extern objects are permitted.

11.4.1. Objects with abstract methods

When instantiating an extern type that has abstract methods users have to supply implementations for all such methods. This is done using object initializers:

objectInitializer
   : = `{ objectDeclarationList }
   ;

objectDeclarationList
   : /* empty */
   | objectDeclarationList objectDeclaration
   ;

objectDeclaration
   : functionDeclaration
   | instantiation
   ;

In P4IR, object initializers have the syntax:

objectInitializerIR
   : = `{ objectDeclarationListIR }
   ;

objectDeclarationListIR = objectDeclarationIR*

objectDeclarationIR
   : functionDeclarationIR
   | instantiationIR
   ;

Abstract method implementations must use the same number of parameters, and the same parameter directions as those declared in the extern object declaration. Note that overloading of abstract methods is not allowed, thus an implementation could be matched to a declaration only with the method name.

Abstract method implementations can only use the supplied arguments or refer to values that are in the same initializer block or the top-level scope. When calling another method of the same instance the this keyword is used to indicate the current object instance:

// Instantiate a balancer
Balancer() b = {  // provide an implementation for the abstract methods
    bit<4> on_new_flow(in bit<32> address) {
        // uses the address and the number of flows to balance the load
        bit<32> count = this.getFlowCount();  // call method of the same instance
        return (address + count)[3:0];
    }
}

Abstract methods may be invoked by users explicitly, or they may be invoked by the target architecture. The architectural description has to specify when the abstract methods are invoked and what the meaning of their arguments and return values is; target architectures may impose additional constraints on abstract methods.

11.4.1.1. Type checking

An object declaration is type checked with the relation:

Click to view the specification source
relation ObjectDecl_ok: cursor typingContext typeFrame externMethodTypeDefEnv |- objectDeclaration : typeFrame externMethodTypeDefEnv objectDeclarationIR

It is defined by the following rules:

Click to view the specification source
rulegroup ObjectDecl_ok:
  rule ObjectDecl_ok/instantiation:
  p TC_0 typeFrame externMethodTypeDefEnv |- instantiation : typeFrame_init externMethodTypeDefEnv instantiationIR
 -- InstDecl_ok: p TC_0 |- instantiation : TC_1 instantiationIR
 -- if _ _ _ `(_) nameIR _ ; = instantiationIR
 -- if varTypeIR = $find_var_t(` nameIR, p, TC_1)
 -- if typeFrame_init = $update_map<id, varTypeIR>(typeFrame, nameIR, varTypeIR)
  rule ObjectDecl_ok/functionDeclaration:
  p TC_0 typeFrame externMethodTypeDefEnv |- annotationList (typeOrVoid name typeParameterListOpt `(parameterList)) blockStatement : typeFrame externMethodTypeDefEnv_init functionDeclarationIR
 -- if TC_1 = TC_0[BLOCK.KIND = EXTERN]
 -- if TC_2 = TC_1[BLOCK.FRAME = typeFrame]
 -- TypeParameterListOpt_ok: LOCAL TC_2 |- typeParameterListOpt : TC_3 typeId_expl*
 -- ParameterList_ok: LOCAL TC_3 |- parameterList : TC_4 parameterIR* # typeId_impl*
 -- Type_ok: LOCAL TC_3 |- typeOrVoid : typeIR_ret # eps
 -- if TC_5 = TC_4[LOCAL.KIND = (EXTERN_METHOD : typeIR_ret)]
 -- Block_ok: TC_5 CONT NOLOOP |- blockStatement : _ f blockStatementIR
 -- if f = RET \/ typeIR_ret = VOID
 -- if callableId = $callableId(name, parameterList)
 -- if nameIR = $name(name)
 -- if externMethodTypeDefIR = EXTERN_METHOD nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*) : typeIR_ret
 -- CallableTypeDef_wf: $bound(p, TC_0) |- externMethodTypeDefIR
 -- if externMethodTypeDefEnv_init = $update_map<callableId, externMethodTypeDefIR>(externMethodTypeDefEnv, callableId, externMethodTypeDefIR)
 -- if functionDeclarationIR = annotationList (typeIR_ret nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*)) blockStatementIR
  1. If let instantiation be objectDeclaration:

    1. Let context TC1 and instantiationIR be

    2. Let nameIR be the name of instantiationIR.

    3. Let varTypeIR' be ! the type of variable nameIR from the p layer of TC1.

    4. Let typeFrameinit be the map typeFrame with the value for nameIR is updated to varTypeIR'.

    5. Result in typeFrameinit and externMethodTypeDefEnv of the object declaration and instantiationIR.

  2. Else:

    1. Let annotationList typeOrVoid name typeParameterListOpt ( parameterList ) blockStatement be objectDeclaration.

    2. Let TC1 be TC0 with BLOCK.KIND set to EXTERN.

    3. Let TC2 be TC1 with BLOCK.FRAME set to typeFrame.

    4. Let context TC3 and type parameters typeIdexpl* be

    5. Let context TC4, parameterIR*, and fresh type variables typeIdimpl* be

    6. Let typeIRret and fresh type variables typeId* be

    7. Check that typeId* is an empty list.

    8. Let TC5 be TC4 with LOCAL.KIND set to EXTERN_METHOD : typeIRret.

    9. Let context _, abstract control flow f, and blockStatementIR be

    10. Check that f is equal to RET or typeIRret is equal to VOID.

    11. Let callableId be the callable identifier for name ( parameterList ).

    12. Let nameIR be the name of name.

    13. Let externMethodTypeDefIR be EXTERN_METHOD nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) : typeIRret.

    14. Let bound be bound type variables from the p layer of TC0.

    15. Check that externMethodTypeDefIR is a well-formed callable type definition, with bound type variables bound.

    16. Let externMethodTypeDefEnvinit be the map externMethodTypeDefEnv with the value for callableId is updated to externMethodTypeDefIR.

    17. Let functionDeclarationIR be annotationList typeIRret nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) blockStatementIR.

    18. Result in typeFrame and externMethodTypeDefEnvinit of the object declaration and functionDeclarationIR.

A list of object declarations is type checked with the relation:

Click to view the specification source
relation ObjectDeclList_ok: cursor typingContext |- objectDeclarationList : typeFrame externMethodTypeDefEnv objectDeclarationListIR
11.4.1.2. Compile-time evaluation

At compile-time, an object declaration is loaded with the relation:

Click to view the specification source
relation ObjectDecl_inst: instContext store |- objectDeclarationIR : instContext store

It is defined by the following rules:

Click to view the specification source
rulegroup ObjectDecl_inst:
  rule ObjectDecl_inst/functionDeclarationIR:
  IC_0 STO |- functionDeclarationIR : IC_1 STO
 -- FuncDecl_inst: BLOCK IC_0 |- functionDeclarationIR : IC_1
  rule ObjectDecl_inst/instantiationIR:
  IC_0 STO_0 |- instantiationIR : IC_1 STO_1
 -- InstDecl_inst: GLOBAL IC_0 STO_0 |- instantiationIR : IC_1 STO_1 _
  1. If let functionDeclarationIR be objectDeclarationIR:

    1. Let context IC1 be

    2. Result in the updated instantiation context IC1 and store store.

  2. Else:

    1. Let instantiationIR be objectDeclarationIR.

    2. Let context IC1, store STO1, and reference to object _ be

    3. Result in the updated instantiation context IC1 and store STO1.

A list of object declarations is loaded with the relation:

Click to view the specification source
relation ObjectDecls_inst: instContext store |- objectDeclarationListIR : instContext store

11.4.2. Type checking

Instantiations are type checked with the relation:

Click to view the specification source
relation InstDecl_ok: cursor typingContext |- instantiation : typingContext instantiationIR

After type checking, in P4IR, instantiations have the syntax:

instantiationIR
   : annotationList typeIR constructorTargetIR `( argumentListIR ) nameIR
       objectInitializerOptIR ;
   ;
Click to view the specification source
rulegroup InstDecl_ok:
  rule InstDecl_ok/non-objectInitializer-prefixedTypeName:
  p TC_0 |- annotationList prefixedTypeName `(argumentList) name ; : TC_1 instantiationIR
 -- InstDecl_non_objectInitializer_ok: p TC_0 |- annotationList prefixedTypeName `<`EMPTY> `(argumentList) name ; : TC_1 instantiationIR
  rule InstDecl_ok/non-objectInitializer-specializedType:
  p TC_0 |- annotationList (prefixedTypeName `<typeArgumentList>) `(argumentList) name ; : TC_1 instantiationIR
 -- InstDecl_non_objectInitializer_ok: p TC_0 |- annotationList prefixedTypeName `<typeArgumentList> `(argumentList) name ; : TC_1 instantiationIR
  rule InstDecl_ok/objectInitializer-prefixedTypeName:
  p TC_0 |- annotationList prefixedTypeName `(argumentList) name (= `{objectDeclarationList}) ; : TC_1 instantiationIR
 -- InstDecl_objectInitializer_ok: p TC_0 |- annotationList prefixedTypeName `<`EMPTY> `(argumentList) name = `{objectDeclarationList} ; : TC_1 instantiationIR
  rule InstDecl_ok/objectInitializer-specializedType:
  p TC_0 |- annotationList (prefixedTypeName `<typeArgumentList>) `(argumentList) name (= `{objectDeclarationList}) ; : TC_1 instantiationIR
 -- InstDecl_objectInitializer_ok: p TC_0 |- annotationList prefixedTypeName `<typeArgumentList> `(argumentList) name = `{objectDeclarationList} ; : TC_1 instantiationIR
  1. If let annotationList type ( argumentList ) name ; be instantiation:

    1. If let prefixedTypeName be type:

      1. Let context TC1 and instantiationIR be

      2. Result in context TC1 and instantiationIR.

    2. Else if let prefixedTypeName < typeArgumentList > be type:

      1. Let context TC1 and instantiationIR be

      2. Result in context TC1 and instantiationIR.

  2. Else:

    1. Let annotationList type ( argumentList ) name = { objectDeclarationList } ; be instantiation.

    2. If let prefixedTypeName be type:

      1. Let context TC1 and instantiationIR be

      2. Result in context TC1 and instantiationIR.

    3. Else if let prefixedTypeName < typeArgumentList > be type:

      1. Let context TC1 and instantiationIR be

      2. Result in context TC1 and instantiationIR.

When used as a top-level declaration, instantiations are typed with:

Click to view the specification source
rulegroup Decl_ok/instantiation:
  rule Decl_ok/instantiation:
  TC_0 |- instantiation : TC_1 instantiationIR
 -- InstDecl_ok: GLOBAL TC_0 |- instantiation : TC_1 instantiationIR
  1. Let context TC1 and instantiationIR be

  2. Result in context TC1 and instantiationIR.

There are two sub-relations, depending on whether object initializers were provided or not.

When object initializers are absent
Click to view the specification source
relation InstDecl_non_objectInitializer_ok: cursor typingContext |- annotationList prefixedTypeName `<typeArgumentList> `(argumentList) name ; : typingContext instantiationIR
Click to view the specification source
rulegroup InstDecl_non_objectInitializer_ok:
  rule InstDecl_non_objectInitializer_ok:
  p TC_0 |- annotationList prefixedTypeName `<typeArgumentList> `(argumentList) name ; : TC_1 instantiationIR
 -- TypeArgumentList_ok: p TC_0 |- typeArgumentList : typeArgumentIR* # typeId_impl*
 -- ArgumentList_ok: p TC_0 |- argumentList : argumentIR*
 -- if prefixedNameIR = $prefixedTypeName(prefixedTypeName)
 -- if constructorTargetIR = prefixedNameIR `<typeArgumentIR*>
 -- ConstructorType_ok: p TC_0 |- constructorTargetIR `(argumentIR*) : constructorTypeIR `<# typeId_inserted*> `(# id_default* # id_optional*)
 -- if typeId_infer* = typeId_impl* ++ typeId_inserted*
 -- Inst_ok: p TC_0 NAMED |- constructorTypeIR `<typeArgumentIR* # typeId_infer*> `(argumentIR* # id_default* # id_optional*) : typeIR_object `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if nameIR = $name(name)
 -- if TC_1 = $add_var_t(p, TC_0, nameIR, `EMPTY typeIR_object CTK eps)
 -- if constructorTargetIR_inferred = prefixedNameIR `<typeArgumentIR_inferred*>
 -- if instantiationIR = annotationList typeIR_object constructorTargetIR_inferred `(argumentIR_cast*) nameIR eps ;
  1. Let typeArgumentIR* and fresh type variables typeIdimpl* be

  2. Let argumentIR* be

  3. Let prefixedNameIR be the prefixed name of prefixedTypeName.

  4. Let constructorTargetIR be prefixedNameIR < typeArgumentIR* >.

  5. Let constructorTypeIR with fresh type variables typeIdinserted*, defaults iddefault* and optionals idoptional* be

  6. Let typeIdinfer* be typeIdimpl* concatenated with typeIdinserted*.

  7. Let constructed type typeIRobject with inferred typeArgumentIRinferred* and casted argumentIRcast* be

  8. Let nameIR be the name of name.

  9. Let TC1 be TC0 where nameIR to `EMPTY typeIRobject CTK · is added to the p layer.

  10. Let constructorTargetIRinferred be prefixedNameIR < typeArgumentIRinferred* >.

  11. Let instantiationIR be annotationList typeIRobject constructorTargetIRinferred ( argumentIRcast* ) nameIR · ;.

  12. Result in context TC1 and instantiationIR.

When object initializers are present
Click to view the specification source
relation InstDecl_objectInitializer_ok: cursor typingContext |- annotationList prefixedTypeName `<typeArgumentList> `(argumentList) name = `{objectDeclarationList} ; : typingContext instantiationIR
Click to view the specification source
rulegroup InstDecl_objectInitializer_ok:
  rule InstDecl_objectInitializer_ok:
  p TC_0 |- annotationList prefixedTypeName `<typeArgumentList> `(argumentList) name = `{objectDeclarationList} ; : TC_2 instantiationIR
 -- TypeArgumentList_ok: p TC_0 |- typeArgumentList : typeArgumentIR* # typeId_impl*
 -- ArgumentList_ok: p TC_0 |- argumentList : argumentIR*
 -- if prefixedNameIR = $prefixedTypeName(prefixedTypeName)
 -- if constructorTargetIR = prefixedNameIR `<typeArgumentIR*>
 -- ConstructorType_ok: p TC_0 |- constructorTargetIR `(argumentIR*) : constructorTypeIR `<# typeId_inserted*> `(# id_default* # id_optional*)
 -- if typeId_infer* = typeId_impl* ++ typeId_inserted*
 -- Inst_ok: p TC_0 NAMED |- constructorTypeIR `<typeArgumentIR* # typeId_infer*> `(argumentIR* # id_default* # id_optional*) : typeIR_object `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if EXTERN typeId_extern `<typeIR_arg*> externMethodTypeDefEnv_extern = $unroll_typeIR(typeIR_object)
 -- if TC_1 = $add_var_t(LOCAL, TC_0, "this", `EMPTY typeIR_object CTK eps)
 -- ObjectDeclList_ok: p TC_1 |- objectDeclarationList : typeFrame_init externMethodTypeDefEnv_init objectDeclarationIR*
 -- if externMethodTypeDefEnv_init_subst = $subst_externMethodTypeDefEnv(externMethodTypeDefEnv_extern, externMethodTypeDefEnv_init)
 -- if typeIR_object_init = EXTERN typeId_extern `<typeIR_arg*> externMethodTypeDefEnv_init_subst
 -- if $is_concrete_extern_object(typeIR_object_init)
 -- if nameIR = $name(name)
 -- if TC_2 = $add_var_t(p, TC_0, nameIR, `EMPTY typeIR_object_init CTK eps)
 -- if constructorTargetIR_inferred = prefixedNameIR `<typeArgumentIR_inferred*>
 -- if instantiationIR = annotationList typeIR_object_init constructorTargetIR_inferred `(argumentIR_cast*) nameIR (= `{objectDeclarationIR*}) ;
  1. Let typeArgumentIR* and fresh type variables typeIdimpl* be

  2. Let argumentIR* be

  3. Let prefixedNameIR be the prefixed name of prefixedTypeName.

  4. Let constructorTargetIR be prefixedNameIR < typeArgumentIR* >.

  5. Let constructorTypeIR with fresh type variables typeIdinserted*, defaults iddefault* and optionals idoptional* be

  6. Let typeIdinfer* be typeIdimpl* concatenated with typeIdinserted*.

  7. Let constructed type typeIRobject with inferred typeArgumentIRinferred* and casted argumentIRcast* be

  8. Let typeIR be typeIRobject with typedefs unrolled.

  9. Check that typeIR has type externObjectTypeIR.

  10. Let EXTERN typeIdextern < typeIRarg* > externMethodTypeDefEnvextern be typeIR.

  11. Let TC1 be TC0 where "this" to `EMPTY typeIRobject CTK · is added to the LOCAL layer.

  12. Let typeFrameinit and externMethodTypeDefEnvinit of the object declaration block and objectDeclarationIR* be

  13. Let externMethodTypeDefEnvinit_subst be substitution of abstract methods in externMethodTypeDefEnvextern by implementations in externMethodTypeDefEnvinit.

  14. Let typeIRobject_init be EXTERN typeIdextern < typeIRarg* > externMethodTypeDefEnvinit_subst.

  15. Check that typeIRobject_init is an extern object type without abstract methods.

  16. Let nameIR be the name of name.

  17. Let TC2 be TC0 where nameIR to `EMPTY typeIRobject_init CTK · is added to the p layer.

  18. Let constructorTargetIRinferred be prefixedNameIR < typeArgumentIRinferred* >.

  19. Let instantiationIR be annotationList typeIRobject_init constructorTargetIRinferred ( argumentIRcast* ) nameIR = { objectDeclarationIR* } ;.

  20. Result in context TC2 and instantiationIR.

11.4.3. Compile-time evaluation

Instantiations are evaluated at compile-time with the relation:

Click to view the specification source
relation InstDecl_inst: cursor instContext store |- instantiationIR : instContext store constantDeclarationIR
Click to view the specification source
rulegroup InstDecl_inst:
  rule InstDecl_inst/extern:
  p IC_0 STO_0 |- annotationList typeIR constructorTargetIR `(argumentListIR) nameIR objectInitializerOptIR ; : IC_1 STO_3 constantDeclarationIR
 -- if prefixedNameIR `<typeArgumentListIR> = constructorTargetIR
 -- Constructor_inst: p IC_0 |- prefixedNameIR `<typeArgumentListIR> `(argumentListIR) : constructorDef `<typeArgumentListIR_inst> `(# id_default* # id_optional*)
 -- if IC_inner = $enter_path_i(IC_0, nameIR)
 -- Constructor_call: p IC_inner STO_0 |- constructorDef `<typeArgumentListIR_inst> `(argumentListIR # id_default* # id_optional*) : STO_1 object
 -- if EXTERN typeId `<theta> `{objectState frame externMethodDefEnv} = object
 -- if IC_decl = $inherit_i(GLOBAL, IC_0)
 -- if objectDeclarationListIR = $flatten_objectInitializerOptIR(objectInitializerOptIR)
 -- ObjectDecls_inst: IC_decl STO_1 |- objectDeclarationListIR : IC_decl_post STO_2
 -- if frame_merged = $merge_frames(frame, IC_decl_post.BLOCK.FRAME)
 -- if externMethodDefEnv_merged = $merge_externMethodDefEnvs(externMethodDefEnv, IC_decl_post.BLOCK.CALLABLE)
 -- if object_merged = EXTERN typeId `<theta> `{objectState frame_merged externMethodDefEnv_merged}
 -- if objectId = IC_0.PATH ++ nameIR
 -- if STO_3 = $add_store(STO_2, objectId, object_merged)
 -- if IC_1 = $add_var_i(p, IC_0, nameIR, REF objectId)
 -- if constantDeclarationIR = `EMPTY CONST typeIR nameIR (= `VALUE (REF objectId)) ;
  rule InstDecl_inst/non-extern:
  p IC_0 STO_0 |- annotationList typeIR constructorTargetIR `(argumentListIR) nameIR objectInitializerOptIR ; : IC_1 STO_2 constantDeclarationIR
 -- if prefixedNameIR `<typeArgumentListIR> = constructorTargetIR
 -- Constructor_inst: p IC_0 |- prefixedNameIR `<typeArgumentListIR> `(argumentListIR) : constructorDef `<typeArgumentListIR_inst> `(# id_default* # id_optional*)
 -- if IC_inner = $enter_path_i(IC_0, nameIR)
 -- Constructor_call: p IC_inner STO_0 |- constructorDef `<typeArgumentListIR_inst> `(argumentListIR # id_default* # id_optional*) : STO_1 object
 -- if ~(object <: externObject)
 -- if objectId = IC_0.PATH ++ nameIR
 -- if STO_2 = $add_store(STO_1, objectId, object)
 -- if IC_1 = $add_var_i(p, IC_0, nameIR, REF objectId)
 -- if constantDeclarationIR = `EMPTY CONST typeIR nameIR (= `VALUE (REF objectId)) ;
  1. Let prefixedNameIR < typeArgumentListIR > be constructorTargetIR.

  2. Let constructor constructorDef < typeArgumentListIRinst > with defaults iddefault* and optionals idoptional* be

  3. Let ICinner be IC0 with nameIR added to the path.

  4. Let store STO1 and instantiated object be

  5. If let EXTERN typeId < theta > { objectState frame externMethodDefEnv } be object:

    1. Let ICdecl be an instantiation context same as IC0 up to the GLOBAL layer.

    2. Let objectDeclarationListIR be the list of object declarations in objectInitializerOptIR.

    3. Let the updated instantiation context ICdecl_post and store STO2 be

    4. Let framemerged be the merged frame of frame and ICdecl_post.BLOCK.FRAME.

    5. Let externMethodDefEnvmerged be the merged extern method definition environment of externMethodDefEnv and ICdecl_post.BLOCK.CALLABLE.

    6. Let objectmerged be EXTERN typeId < theta > { objectState framemerged externMethodDefEnvmerged }.

    7. Let objectId be IC0.PATH concatenated with nameIR.

    8. Let STO3 be STO2 where objectId to objectmerged is added.

    9. Let IC1 be IC0 where nameIR to REF objectId is added to the p layer.

    10. Let constantDeclarationIR be `EMPTY CONST typeIR nameIR = `VALUE REF objectId ;.

    11. Result in context IC1, store STO3, and reference to object constantDeclarationIR.

  6. Else:

    1. Let objectId be IC0.PATH concatenated with nameIR.

    2. Let STO2 be STO1 where objectId to object is added.

    3. Let IC1 be IC0 where nameIR to REF objectId is added to the p layer.

    4. Let constantDeclarationIR be `EMPTY CONST typeIR nameIR = `VALUE REF objectId ;.

    5. Result in context IC1, store STO2, and reference to object constantDeclarationIR.

When used as a top-level declaration, instantiations are evaluated with:

Click to view the specification source
rulegroup Decl_inst/instantiationIR:
  rule Decl_inst/instantiationIR:
  IC_0 STO_0 |- instantiationIR : IC_1 STO_1
 -- InstDecl_inst: GLOBAL IC_0 STO_0 |- instantiationIR : IC_1 STO_1 _
  1. Let context IC1, store STO1, and reference to object _ be

  2. Result in context IC1 and store STO1.

11.5. Function declarations

Function declarations introduce user-defined functions into a P4 program. Section 9.4.1 describes the semantics of user-defined functions in P4.

functionPrototype
   : typeOrVoid name typeParameterListOpt `( parameterList )
   ;

functionDeclaration
   : annotationList functionPrototype blockStatement
   ;

11.5.1. Type checking

Function declarations are type checked with the relation:

Click to view the specification source
relation FuncDecl_ok: cursor typingContext |- functionDeclaration : typingContext functionDeclarationIR

After type checking, function declarations are represented in P4IR as:

functionPrototypeIR
   : typeIR nameIR `< typeParameterListIR , typeParameterListIR >
       `( parameterListIR )
   ;

functionDeclarationIR
   : annotationList functionPrototypeIR blockStatementIR
   ;

They are produced by the following rule:

Click to view the specification source
rulegroup FuncDecl_ok:
  rule FuncDecl_ok:
  p TC_0 |- annotationList (typeOrVoid name typeParameterListOpt `(parameterList)) blockStatement : TC_4 functionDeclarationIR
 -- TypeParameterListOpt_ok: LOCAL TC_0 |- typeParameterListOpt : TC_1 typeId_expl*
 -- Type_ok: LOCAL TC_1 |- typeOrVoid : typeIR_ret # eps
 -- ParameterList_ok: LOCAL TC_1 |- parameterList : TC_2 parameterIR* # typeId_impl*
 -- if TC_3 = TC_2[LOCAL.KIND = FUNCTION : typeIR_ret]
 -- Block_ok: TC_3 CONT NOLOOP |- blockStatement : _ f blockStatementIR
 -- if f = RET \/ typeIR_ret = VOID
 -- if callableId = $callableId(name, parameterList)
 -- if nameIR = $name(name)
 -- if definedFunctionTypeDefIR = FUNCTION nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*) : typeIR_ret
 -- CallableTypeDef_wf: $bound(p, TC_0) |- definedFunctionTypeDefIR
 -- if TC_4 = $add_callableDef_overload_t(p, TC_0, callableId, definedFunctionTypeDefIR)
 -- if functionDeclarationIR = annotationList (typeIR_ret nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*)) blockStatementIR
  1. Let context TC1 and type parameters typeIdexpl* be

  2. Let typeIRret and fresh type variables typeId* be

  3. Check that typeId* is an empty list.

  4. Let context TC2, parameterIR*, and fresh type variables typeIdimpl* be

  5. Let TC3 be TC2 with LOCAL.KIND set to FUNCTION : typeIRret.

  6. Let context _, abstract control flow f, and blockStatementIR be

  7. Check that f is equal to RET or typeIRret is equal to VOID.

  8. Let callableId be the callable identifier for name ( parameterList ).

  9. Let nameIR be the name of name.

  10. Let definedFunctionTypeDefIR be FUNCTION nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) : typeIRret.

  11. Let bound be bound type variables from the p layer of TC0.

  12. Check that definedFunctionTypeDefIR is a well-formed callable type definition, with bound type variables bound.

  13. Let TC4 be TC0 where callableId to definedFunctionTypeDefIR is added as an overloaded callable to the p layer.

  14. Let functionDeclarationIR be annotationList typeIRret nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) blockStatementIR.

  15. Result in context TC4 and functionDeclarationIR.

When used as a top-level declaration, function declarations are typed with:

Click to view the specification source
rulegroup Decl_ok/functionDeclaration:
  rule Decl_ok/functionDeclaration:
  TC_0 |- functionDeclaration : TC_1 functionDeclarationIR
 -- FuncDecl_ok: GLOBAL TC_0 |- functionDeclaration : TC_1 functionDeclarationIR
  1. Let context TC1 and functionDeclarationIR be

  2. Result in context TC1 and functionDeclarationIR.

11.5.2. Compile-time evaluation

At compile-time, function declarations are loaded into the context with the relation:

Click to view the specification source
relation FuncDecl_inst: cursor instContext |- functionDeclarationIR : instContext

It is defined by the following rule:

Click to view the specification source
rulegroup FuncDecl_inst:
  rule FuncDecl_inst:
  p IC_0 |- annotationList (typeIR nameIR (`<typeParameterListIR_expl , typeParameterListIR_impl>) `(parameterListIR)) blockStatementIR : IC_1
 -- if callableId = $callableId_IR(nameIR, parameterListIR)
 -- if typeParameterListIR = typeParameterListIR_expl ++ typeParameterListIR_impl
 -- if definedFunctionDef = FUNCTION nameIR `<typeParameterListIR> `(parameterListIR) blockStatementIR
 -- if IC_1 = $add_callableDef_overload_i(p, IC_0, callableId, definedFunctionDef)
  1. Let callableId be the callable identifier for nameIR ( parameterListIR ).

  2. Let typeParameterListIR be typeParameterListIRexpl concatenated with typeParameterListIRimpl.

  3. Let definedFunctionDef be FUNCTION nameIR < typeParameterListIR > ( parameterListIR ) blockStatementIR.

  4. Let IC1 be IC0 where callableId to definedFunctionDef is added as an overloaded callable to the p layer.

  5. Result in context IC1.

When used as a top-level declaration, function declarations are loaded with:

Click to view the specification source
rulegroup Decl_inst/functionDeclarationIR:
  rule Decl_inst/functionDeclarationIR:
  IC_0 STO |- functionDeclarationIR : IC_1 STO
 -- FuncDecl_inst: GLOBAL IC_0 |- functionDeclarationIR : IC_1

11.6. Action declarations

action declarations introduce actions:

actionDeclaration
   : annotationList ACTION name `( parameterList ) blockStatement
   ;

Section 9.3 describes the semantics of actions.

11.6.1. Type checking

Action declarations are type checked with the relation:

Click to view the specification source
relation ActionDecl_ok: cursor typingContext |- actionDeclaration : typingContext actionDeclarationIR

After type checking, action declarations are represented in P4IR as:

actionDeclarationIR
   : annotationList ACTION nameIR `( parameterListIR ) blockStatementIR
   ;

These are produced by the following rule:

Click to view the specification source
rulegroup ActionDecl_ok:
  rule ActionDecl_ok:
  p TC_0 |- annotationList ACTION name `(parameterList) blockStatement : TC_3 actionDeclarationIR
 -- if TC_1 = TC_0[LOCAL.KIND = ACTION]
 -- ParameterList_ok: LOCAL TC_1 |- parameterList : TC_2 parameterIR* # eps
 -- Block_ok: TC_2 CONT NOLOOP |- blockStatement : _ _ blockStatementIR
 -- if callableId = $callableId(name, parameterList)
 -- if nameIR = $name(name)
 -- if actionTypeDefIR = annotationList ACTION nameIR `(parameterIR*)
 -- CallableTypeDef_wf: $bound(p, TC_0) |- actionTypeDefIR
 -- if TC_3 = $add_callableDef_non_overload_t(p, TC_0, callableId, actionTypeDefIR)
 -- if actionDeclarationIR = annotationList ACTION nameIR `(parameterIR*) blockStatementIR
  1. Let TC1 be TC0 with LOCAL.KIND set to ACTION.

  2. Let context TC2, parameterIR*, and fresh type variables typeId* be

  3. Check that typeId* is an empty list.

  4. Let context _, abstract control flow _, and blockStatementIR be

  5. Let callableId be the callable identifier for name ( parameterList ).

  6. Let nameIR be the name of name.

  7. Let actionTypeDefIR be annotationList ACTION nameIR ( parameterIR* ).

  8. Let bound be bound type variables from the p layer of TC0.

  9. Check that actionTypeDefIR is a well-formed callable type definition, with bound type variables bound.

  10. Let TC3 be TC0 where callableId to actionTypeDefIR is added as a non-overloaded callable to the p layer.

  11. Let actionDeclarationIR be annotationList ACTION nameIR ( parameterIR* ) blockStatementIR.

  12. Result in context TC3 and actionDeclarationIR.

When used as a top-level declaration, action declarations are typed with:

Click to view the specification source
rulegroup Decl_ok/actionDeclaration:
  rule Decl_ok/actionDeclaration:
  TC_0 |- actionDeclaration : TC_1 actionDeclarationIR
 -- ActionDecl_ok: GLOBAL TC_0 |- actionDeclaration : TC_1 actionDeclarationIR
  1. Let context TC1 and actionDeclarationIR be

  2. Result in context TC1 and actionDeclarationIR.

11.6.2. Compile-time evaluation

At compile-time, action declarations are loaded into the context with the relation:

Click to view the specification source
relation ActionDecl_inst: cursor instContext |- actionDeclarationIR : instContext

It is defined by the following rule:

Click to view the specification source
rulegroup ActionDecl_inst:
  rule ActionDecl_inst:
  p IC_0 |- annotationList ACTION nameIR `(parameterListIR) blockStatementIR : IC_1
 -- if callableId = $callableId_IR(nameIR, parameterListIR)
 -- if actionDef = ACTION nameIR `(parameterListIR) blockStatementIR
 -- if IC_1 = $add_callableDef_non_overload_i(p, IC_0, callableId, actionDef)

When used as a top-level declaration, action declarations are loaded with:

Click to view the specification source
rulegroup Decl_inst/actionDeclarationIR:
  rule Decl_inst/actionDeclarationIR:
  IC_0 STO |- actionDeclarationIR : IC_1 STO
 -- ActionDecl_inst: GLOBAL IC_0 |- actionDeclarationIR : IC_1

11.7. Error declarations

errorDeclaration
   : ERROR `{ nameList }
   ;

error declarations introduce error elements. See Section 8.2.4 for more details on error elements.

11.7.1. Type checking

After type checking, an error declaration is represented as:

errorDeclarationIR
   : ERROR `{ nameListIR }
   ;
Click to view the specification source
rulegroup Decl_ok/errorDeclaration:
  rule Decl_ok/errorDeclaration:
  TC_0 |- ERROR `{nameList} : TC_1 (ERROR `{nameIR*})
 -- if name* = $flatten_nameList(nameList)
 -- (if (nameIR = $name(name)))*
 -- if $distinct_<nameIR>(nameIR*)
 -- (if (nameIR_error = "error." ++ nameIR))*
 -- (if (value_error = ERROR . nameIR))*
 -- (if (varTypeIR = `EMPTY ERROR LCTK value_error))*
 -- if TC_1 = $add_vars_t(GLOBAL, TC_0, nameIR_error*, varTypeIR*)
  1. Let name* be nameList flattened.

  2. Let nameIR* be the list obtained by repeating:

    for each name in name*

  3. Check that the elements of nameIR* are distinct.

  4. Let nameIRerror* be the list obtained by repeating:

    • Let nameIRerror be "error." concatenated with nameIR.

    for each nameIR in nameIR*

  5. Let valueerror* be the list obtained by repeating:

    • Let valueerror be ERROR . nameIR.

    for each nameIR in nameIR*

  6. Let varTypeIR* be the list obtained by repeating:

    • Let varTypeIR be `EMPTY ERROR LCTK valueerror.

    for each valueerror in valueerror*

  7. Let TC1 be TC0 where each of nameIRerror* to each of varTypeIR* are added to the GLOBAL layer.

  8. Result in context TC1 and ERROR { nameIR* }.

11.7.2. Compile-time evaluation

At comile-time, error declarations are loaded into the context by:

Click to view the specification source
rulegroup Decl_inst/errorDeclarationIR:
  rule Decl_inst/errorDeclarationIR:
  IC_0 STO |- ERROR `{nameIR*} : IC_1 STO
 -- (if (nameIR_error = $concat_text(["error.", nameIR])))*
 -- (if (value_error = ERROR . nameIR))*
 -- if IC_1 = $add_vars_i(GLOBAL, IC_0, nameIR_error*, value_error*)
  1. Let nameIRerror* be the list obtained by repeating:

    for each nameIR in nameIR*

  2. Let valueerror* be the list obtained by repeating:

    • Let valueerror be ERROR . nameIR.

    for each nameIR in nameIR*

  3. Let IC1 be IC0 where each of nameIRerror* to each of valueerror* are added to the GLOBAL layer.

  4. Result in context IC1 and store STO.

11.8. Match kind declarations

matchKindDeclaration
   : MATCH_KIND `{ nameList trailingCommaOpt }
   ;

Similar to error declarations, match_kind declarations introduce match kinds. See Section 8.2.5 for more details on match kinds.

11.8.1. Type checking

After type checking, an match_kind declaration is represented as:

matchKindDeclarationIR
   : MATCH_KIND `{ nameListIR }
   ;
Click to view the specification source
rulegroup Decl_ok/matchKindDeclaration:
  rule Decl_ok/matchKindDeclaration:
  TC_0 |- MATCH_KIND `{nameList _} : TC_1 (MATCH_KIND `{nameIR*})
 -- if name* = $flatten_nameList(nameList)
 -- (if (nameIR = $name(name)))*
 -- if $distinct_<nameIR>(nameIR*)
 -- (if (value_match_kind = MATCH_KIND . nameIR))*
 -- (if (varTypeIR = `EMPTY MATCH_KIND LCTK value_match_kind))*
 -- if TC_1 = $add_vars_t(GLOBAL, TC_0, nameIR*, varTypeIR*)
  1. Let name* be nameList flattened.

  2. Let nameIR* be the list obtained by repeating:

    for each name in name*

  3. Check that the elements of nameIR* are distinct.

  4. Let valuematch_kind* be the list obtained by repeating:

    • Let valuematch_kind be MATCH_KIND . nameIR.

    for each nameIR in nameIR*

  5. Let varTypeIR* be the list obtained by repeating:

    • Let varTypeIR be `EMPTY MATCH_KIND LCTK valuematch_kind.

    for each valuematch_kind in valuematch_kind*

  6. Let TC1 be TC0 where each of nameIR* to each of varTypeIR* are added to the GLOBAL layer.

  7. Result in context TC1 and MATCH_KIND { nameIR* }.

11.8.2. Compile-time evaluation

At comile-time, match kind declarations are loaded into the context by:

Click to view the specification source
rulegroup Decl_inst/matchKindDeclarationIR:
  rule Decl_inst/matchKindDeclarationIR:
  IC_0 STO |- MATCH_KIND `{nameIR*} : IC_1 STO
 -- (if (value_match_kind = MATCH_KIND . nameIR))*
 -- if IC_1 = $add_vars_i(GLOBAL, IC_0, nameIR*, value_match_kind*)
  1. Let valuematch_kind* be the list obtained by repeating:

    • Let valuematch_kind be MATCH_KIND . nameIR.

    for each nameIR in nameIR*

  2. Let IC1 be IC0 where each of nameIR* to each of valuematch_kind* are added to the GLOBAL layer.

  3. Result in context IC1 and store STO.

11.9. Extern function declarations

externFunctionDeclaration
   : annotationList EXTERN functionPrototype ;
   ;

An extern function declaration introduces an extern function. See Section 9.4.2 for how extern functions are internally represented.

11.9.1. Type checking

After type checking, an extern function declaration is represented in P4IR as:

externFunctionDeclarationIR
   : annotationList EXTERN functionPrototypeIR ;
   ;
Click to view the specification source
rulegroup Decl_ok/externFunctionDeclaration:
  rule Decl_ok/externFunctionDeclaration:
  TC_0 |- annotationList EXTERN (typeOrVoid name typeParameterListOpt `(parameterList)) ; : TC_4 externFunctionDeclarationIR
 -- TypeParameterListOpt_ok: LOCAL TC_0 |- typeParameterListOpt : TC_1 typeId_expl*
 -- ParameterList_ok: LOCAL TC_1 |- parameterList : TC_2 parameterIR* # typeId_impl*
 -- Type_ok: LOCAL TC_1 |- typeOrVoid : typeIR_ret # eps
 -- if TC_3 = TC_2[LOCAL.KIND = EXTERN_FUNCTION : typeIR_ret]
 -- if callableId = $callableId(name, parameterList)
 -- if nameIR = $name(name)
 -- if externFunctionTypeDefIR = EXTERN_FUNCTION nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*) : typeIR_ret
 -- CallableTypeDef_wf: $bound(GLOBAL, TC_0) |- externFunctionTypeDefIR
 -- if TC_4 = $add_callableDef_overload_t(GLOBAL, TC_0, callableId, externFunctionTypeDefIR)
 -- if externFunctionDeclarationIR = annotationList EXTERN (typeIR_ret nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*)) ;
  1. Let context TC1 and type parameters typeIdexpl* be

  2. Let context TC2, parameterIR*, and fresh type variables typeIdimpl* be

  3. Let typeIRret and fresh type variables typeId* be

  4. Check that typeId* is an empty list.

  5. Let callableId be the callable identifier for name ( parameterList ).

  6. Let nameIR be the name of name.

  7. Let externFunctionTypeDefIR be EXTERN_FUNCTION nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) : typeIRret.

  8. Let bound be bound type variables from the GLOBAL layer of TC0.

  9. Check that externFunctionTypeDefIR is a well-formed callable type definition, with bound type variables bound.

  10. Let TC4 be TC0 where callableId to externFunctionTypeDefIR is added as an overloaded callable to the GLOBAL layer.

  11. Let externFunctionDeclarationIR be annotationList EXTERN typeIRret nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) ;.

  12. Result in context TC4 and externFunctionDeclarationIR.

11.9.2. Compile-time evaluation

At comile-time, extern function declarations are loaded into the context by:

Click to view the specification source
rulegroup Decl_inst/externFunctionDeclarationIR:
  rule Decl_inst/externFunctionDeclarationIR:
  IC_0 STO |- annotationList EXTERN (typeIR nameIR `<typeParameterListIR_expl , typeParameterListIR_impl> `(parameterListIR)) ; : IC_1 STO
 -- if callableId = $callableId_IR(nameIR, parameterListIR)
 -- if typeParameterListIR = typeParameterListIR_expl ++ typeParameterListIR_impl
 -- if externFunctionDef = EXTERN_FUNCTION nameIR `<typeParameterListIR> `(parameterListIR)
 -- if IC_1 = $add_callableDef_overload_i(GLOBAL, IC_0, callableId, externFunctionDef)
  1. Let callableId be the callable identifier for nameIR ( parameterListIR ).

  2. Let typeParameterListIR be typeParameterListIRexpl concatenated with typeParameterListIRimpl.

  3. Let externFunctionDef be EXTERN_FUNCTION nameIR < typeParameterListIR > ( parameterListIR ).

  4. Let IC1 be IC0 where callableId to externFunctionDef is added as an overloaded callable to the GLOBAL layer.

  5. Result in context IC1 and store STO.

11.10. Extern object declarations

An extern object declaration introduces an extern object.

externObjectDeclaration
   : annotationList EXTERN nonTypeName typeParameterListOpt
       `{ externConstructorOrMethodPrototypeList }
   ;

externConstructorOrMethodPrototype
   : externConstructorPrototype
   | externMethodPrototype
   ;

externConstructorOrMethodPrototypeList
   : /* empty */
   | externConstructorOrMethodPrototypeList externConstructorOrMethodPrototype
   ;

See Section 10.3 for how extern objects are internally represented. An extern object declaration includes its constructors and methods, to be explained in the following sections.

11.10.1. Extern methods

Extern objects can have methods, which are declared using the following syntax:

externMethodPrototype
   : annotationList functionPrototype ;
   | annotationList ABSTRACT functionPrototype ;
   ;

See Section 9.5.1 for details on how extern methods are represented internally.

11.10.1.1. Type checking

Extern methods are type checked using the following relation:

Click to view the specification source
relation ExternMethod_ok: typingContext typeId |- externMethodPrototype : externMethodPrototypeIR

After type checking, in P4IR, an extern method declaration is represented as:

externMethodPrototypeIR
   : annotationList functionPrototypeIR ;
   | annotationList ABSTRACT functionPrototypeIR ;
   ;

These are produced by:

Click to view the specification source
rulegroup ExternMethod_ok:
  rule ExternMethod_ok/non-abstract:
  TC_0 typeId_extern |- annotationList functionPrototype ; : externMethodPrototypeIR
 -- if typeOrVoid name typeParameterListOpt `(parameterList) = functionPrototype
 -- if nameIR = $name(name)
 -- if nameIR =/= typeId_extern
 -- TypeParameterListOpt_ok: LOCAL TC_0 |- typeParameterListOpt : TC_1 typeId_expl*
 -- Type_ok: LOCAL TC_1 |- typeOrVoid : typeIR_ret # eps
 -- if TC_2 = TC_1[LOCAL.KIND = EXTERN_METHOD : typeIR_ret]
 -- ParameterList_ok: LOCAL TC_2 |- parameterList : TC_3 parameterIR* # typeId_impl*
 -- if externMethodTypeDefIR = EXTERN_METHOD nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*) : typeIR_ret
 -- CallableTypeDef_wf: $bound(BLOCK, TC_0) |- externMethodTypeDefIR
 -- if externMethodPrototypeIR = annotationList (typeIR_ret nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*)) ;
  rule ExternMethod_ok/abstract:
  TC_0 typeId_extern |- annotationList ABSTRACT functionPrototype ; : externMethodPrototypeIR
 -- if typeOrVoid name typeParameterListOpt `(parameterList) = functionPrototype
 -- if nameIR = $name(name)
 -- if nameIR =/= typeId_extern
 -- TypeParameterListOpt_ok: LOCAL TC_0 |- typeParameterListOpt : TC_1 typeId_expl*
 -- Type_ok: LOCAL TC_1 |- typeOrVoid : typeIR_ret # eps
 -- if TC_2 = TC_1[LOCAL.KIND = EXTERN_METHOD ABSTRACT : typeIR_ret]
 -- ParameterList_ok: LOCAL TC_2 |- parameterList : TC_3 parameterIR* # typeId_impl*
 -- if externMethodTypeDefIR = EXTERN_METHOD ABSTRACT nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*) : typeIR_ret
 -- CallableTypeDef_wf: $bound(BLOCK, TC_0) |- externMethodTypeDefIR
 -- if externMethodPrototypeIR = annotationList ABSTRACT (typeIR_ret nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*)) ;
  1. If let annotationList functionPrototype ; be externMethodPrototype:

    1. Let typeOrVoid name typeParameterListOpt ( parameterList ) be functionPrototype.

    2. Let nameIR be the name of name.

    3. Check that nameIR is not equal to typeIdextern.

    4. Let context TC1 and type parameters typeIdexpl* be

    5. Let typeIRret and fresh type variables typeId* be

    6. Check that typeId* is an empty list.

    7. Let TC2 be TC1 with LOCAL.KIND set to EXTERN_METHOD : typeIRret.

    8. Let context TC3, parameterIR*, and fresh type variables typeIdimpl* be

    9. Let externMethodTypeDefIR be EXTERN_METHOD nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) : typeIRret.

    10. Let bound be bound type variables from the BLOCK layer of TC0.

    11. Check that externMethodTypeDefIR is a well-formed callable type definition, with bound type variables bound.

    12. Let externMethodPrototypeIR be annotationList typeIRret nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) ;.

    13. Result in externMethodPrototypeIR.

  2. Else:

    1. Let annotationList ABSTRACT functionPrototype ; be externMethodPrototype.

    2. Let typeOrVoid name typeParameterListOpt ( parameterList ) be functionPrototype.

    3. Let nameIR be the name of name.

    4. Check that nameIR is not equal to typeIdextern.

    5. Let context TC1 and type parameters typeIdexpl* be

    6. Let typeIRret and fresh type variables typeId* be

    7. Check that typeId* is an empty list.

    8. Let TC2 be TC1 with LOCAL.KIND set to EXTERN_METHOD ABSTRACT : typeIRret.

    9. Let context TC3, parameterIR*, and fresh type variables typeIdimpl* be

    10. Let externMethodTypeDefIR be EXTERN_METHOD ABSTRACT nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) : typeIRret.

    11. Let bound be bound type variables from the BLOCK layer of TC0.

    12. Check that externMethodTypeDefIR is a well-formed callable type definition, with bound type variables bound.

    13. Let externMethodPrototypeIR be annotationList ABSTRACT typeIRret nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) ;.

    14. Result in externMethodPrototypeIR.

11.10.2. Extern constructors

Extern objects may have constructors, which are declared using the following syntax:

externConstructorPrototype
   : annotationList typeIdentifier `( parameterList ) ;
   ;
11.10.2.1. Type checking

Extern constructors are type checked using the following relation:

Click to view the specification source
relation ExternConstructor_ok: typingContext typeId |- externConstructorPrototype : externConstructorPrototypeIR

After type checking, in P4IR, an extern constructor declaration is represented as:

externConstructorPrototypeIR
   : annotationList nameIR `< , typeParameterListIR > `( parameterListIR ) ;
   ;

These are produced by:

Click to view the specification source
rulegroup ExternConstructor_ok:
  rule ExternConstructor_ok:
  TC_0 typeId_extern |- annotationList typeIdentifier `(parameterList) ; : externConstructorPrototypeIR
 -- if nameIR = $name(typeIdentifier)
 -- if nameIR = typeId_extern
 -- ConstructorParameterListOpt_ok: TC_0 |- `(parameterList) : TC_1 constructorParameterIR* # typeId_impl*
 -- if externObjectTypeDefIR = $find_typeDef_t(GLOBAL, TC_0, ` typeId_extern)
 -- if (typeId_expl*, eps) = $typeParameterListIR_of_typeDefIR(externObjectTypeDefIR)
 -- if typeIR_extern = $typeIR_of_typeDefIR(externObjectTypeDefIR)
 -- if constructorTypeDefIR = CONSTRUCTOR `<typeId_expl* , typeId_impl*> `(constructorParameterIR*) : typeIR_extern
 -- ConstructorTypeDef_wf: $bound(BLOCK, TC_0) |- constructorTypeDefIR
 -- if externConstructorPrototypeIR = annotationList nameIR `<, typeId_impl*> `(constructorParameterIR*) ;
  1. Let nameIR be the name of typeIdentifier.

  2. Check that nameIR is equal to typeIdextern.

  3. Let context TC1, constructorParameterIR*, and fresh type variables typeIdimpl* be

  4. Let typeDefIR' be ! the type definition of typeIdextern from the GLOBAL layer of TC0.

  5. Check that typeDefIR' has type externObjectTypeDefIR.

  6. Let externObjectTypeDefIR be typeDefIR'.

  7. Let ( typeIdexpl*, typeParameterIR* ) be the type parameters of externObjectTypeDefIR.

  8. Check that typeParameterIR* is an empty list.

  9. Let typeIRextern be the underlying type of externObjectTypeDefIR.

  10. Let constructorTypeDefIR be CONSTRUCTOR < typeIdexpl* , typeIdimpl* > ( constructorParameterIR* ) : typeIRextern.

  11. Let bound be bound type variables from the BLOCK layer of TC0.

  12. Check that constructorTypeDefIR is a well-formed constructor type definition, with bound type variables bound.

  13. Let externConstructorPrototypeIR be annotationList nameIR < , typeIdimpl* > ( constructorParameterIR* ) ;.

  14. Result in externConstructorPrototypeIR.

11.10.3. Type checking

After type checking, an extern object declaration is represented in P4IR as:

externObjectDeclarationIR
   : annotationList EXTERN nameIR `< typeParameterListIR , >
       `{ externConstructorPrototypeListIR externMethodPrototypeListIR }
   ;

externConstructorPrototypeIR
   : annotationList nameIR `< , typeParameterListIR > `( parameterListIR ) ;
   ;

externMethodPrototypeIR
   : annotationList functionPrototypeIR ;
   | annotationList ABSTRACT functionPrototypeIR ;
   ;
Click to view the specification source
rulegroup Decl_ok/externObjectDeclaration:
  rule Decl_ok/externObjectDeclaration:
  TC_0 |- annotationList EXTERN nonTypeName typeParameterListOpt `{externConstructorOrMethodPrototypeList} : TC_6 externObjectDeclarationIR
 -- if (externConstructorPrototype*, externMethodPrototype*) = $split_externConstructorOrMethodPrototypeList(externConstructorOrMethodPrototypeList)
 -- if TC_1 = TC_0[BLOCK.KIND = EXTERN]
 -- TypeParameterListOpt_ok: BLOCK TC_1 |- typeParameterListOpt : TC_2 typeId_expl*
 -- if nameIR = $name(nonTypeName)
 -- (ExternMethod_ok: TC_2 nameIR |- externMethodPrototype : externMethodPrototypeIR)*
 -- (if (callableId_method = $callableId_of_externMethodPrototype(externMethodPrototype)))*
 -- if $distinct_<callableId>(callableId_method*)
 -- (if (externMethodTypeDefIR = $type_of_externMethodPrototypeIR(externMethodPrototypeIR)))*
 -- if externMethodTypeDefEnv = `{(callableId_method : externMethodTypeDefIR)*}
 -- if typeDefIR_extern = EXTERN nameIR `<typeId_expl* , eps> externMethodTypeDefEnv
 -- if TC_3 = $add_typeDef_t(GLOBAL, TC_0, nameIR, typeDefIR_extern)
 -- if TC_4 = TC_3[BLOCK.KIND = EXTERN]
 -- if TC_5 = $add_typeParameters_t(BLOCK, TC_4, typeId_expl*)
 -- (ExternConstructor_ok: TC_5 nameIR |- externConstructorPrototype : externConstructorPrototypeIR)*
 -- (if (constructorId = $constructorId_of_externConstructorPrototype(externConstructorPrototype)))*
 -- if typeIR_extern = $typeIR_of_typeDefIR(typeDefIR_extern)
 -- (if (constructorTypeDefIR = $constructorTypeDef_of_externConstructorPrototypeIR(typeId_expl*, typeIR_extern, externConstructorPrototypeIR)))*
 -- if TC_6 = $add_constructorDefs_t(TC_3, constructorId*, constructorTypeDefIR*)
 -- if externObjectDeclarationIR = annotationList EXTERN nameIR `<typeId_expl* ,> `{externConstructorPrototypeIR* externMethodPrototypeIR*}
  1. Let ( externConstructorPrototype*, externMethodPrototype* ) be externConstructorOrMethodPrototypeList split into constructors and methods.

  2. Let TC1 be TC0 with BLOCK.KIND set to EXTERN.

  3. Let context TC2 and type parameters typeIdexpl* be

  4. Let nameIR be the name of nonTypeName.

  5. Let externMethodPrototypeIR* be the list obtained by repeating:

    for each externMethodPrototype in externMethodPrototype*

  6. Let callableIdmethod* be the list obtained by repeating:

    for each externMethodPrototype in externMethodPrototype*

  7. Check that the elements of callableIdmethod* are distinct.

  8. Let externMethodTypeDefIR* be the list obtained by repeating:

    for each externMethodPrototypeIR in externMethodPrototypeIR*

  9. Let externMethodTypeDefEnv be { ( callableIdmethod : externMethodTypeDefIR )* }.

  10. Let typeDefIRextern be EXTERN nameIR < typeIdexpl* , · > externMethodTypeDefEnv.

  11. Let TC3 be TC0 where nameIR to typeDefIRextern is added to the GLOBAL layer.

  12. Let TC4 be TC3 with BLOCK.KIND set to EXTERN.

  13. Let TC5 be type parameters typeIdexpl* added to the BLOCK layer of TC4.

  14. Let externConstructorPrototypeIR* be the list obtained by repeating:

    for each externConstructorPrototype in externConstructorPrototype*

  15. Let constructorId* be the list obtained by repeating:

    for each externConstructorPrototype in externConstructorPrototype*

  16. Let typeIRextern be the underlying type of typeDefIRextern.

  17. Let constructorTypeDefIR* be the list obtained by repeating:

    for each externConstructorPrototypeIR in externConstructorPrototypeIR*

  18. Let TC6 be where each of constructorId* to each of constructorTypeDefIR* are added to TC3.

  19. Let externObjectDeclarationIR be annotationList EXTERN nameIR < typeIdexpl* , > { externConstructorPrototypeIR* externMethodPrototypeIR* }.

  20. Result in context TC6 and externObjectDeclarationIR.

11.10.4. Compile-time evaluation

At comile-time, extern object declarations are loaded into the context by:

Click to view the specification source
rulegroup Decl_inst/externObjectDeclarationIR:
  rule Decl_inst/non-constructor:
  IC_0 STO |- annotationList EXTERN nameIR `<typeParameterListIR ,> `{eps externMethodPrototypeIR*} : IC_2 STO
 -- (if (callableId_method = $callableId_of_externMethodPrototypeIR(externMethodPrototypeIR)))*
 -- (if (externMethodTypeDefIR = $type_of_externMethodPrototypeIR(externMethodPrototypeIR)))*
 -- if externMethodTypeDefEnv = `{(callableId_method : externMethodTypeDefIR)*}
 -- if externObjectTypeDefIR = EXTERN nameIR `<typeParameterListIR , eps> externMethodTypeDefEnv
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, externObjectTypeDefIR)
 -- if callableId_constructor = $callableId_IR(nameIR, eps)
 -- if constructorDef = EXTERN nameIR `<typeParameterListIR> `(eps) `{externMethodPrototypeIR*}
 -- if IC_2 = $add_constructorDef_i(IC_1, callableId_constructor, constructorDef)
  rule Decl_inst/constructor:
  IC_0 STO |- annotationList EXTERN nameIR `<typeParameterListIR ,> `{externConstructorPrototypeIR* externMethodPrototypeIR*} : IC_2 STO
 -- if externConstructorPrototypeIR* =/= eps
 -- (if (callableId_method = $callableId_of_externMethodPrototypeIR(externMethodPrototypeIR)))*
 -- (if (externMethodTypeDefIR = $type_of_externMethodPrototypeIR(externMethodPrototypeIR)))*
 -- if externMethodTypeDefEnv = `{(callableId_method : externMethodTypeDefIR)*}
 -- if externObjectTypeDefIR = EXTERN nameIR `<typeParameterListIR , eps> externMethodTypeDefEnv
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, externObjectTypeDefIR)
 -- (if (callableId_constructor = $callableId_of_externConstructorPrototypeIR(externConstructorPrototypeIR)))*
 -- (if (constructorDef = $constructor_of_externConstructorPrototypeIR(typeParameterListIR, externMethodPrototypeIR*, externConstructorPrototypeIR)))*
 -- if IC_2 = $add_constructorDefs_i(IC_1, callableId_constructor*, constructorDef*)
  1. If externConstructorPrototypeIR* is equal to ·:

    1. Let callableIdmethod* be the list obtained by repeating:

      for each externMethodPrototypeIR in externMethodPrototypeIR*

    2. Let externMethodTypeDefIR* be the list obtained by repeating:

      for each externMethodPrototypeIR in externMethodPrototypeIR*

    3. Let externMethodTypeDefEnv be { ( callableIdmethod : externMethodTypeDefIR )* }.

    4. Let externObjectTypeDefIR be EXTERN nameIR < typeParameterListIR , · > externMethodTypeDefEnv.

    5. Let IC1 be IC0 where nameIR to externObjectTypeDefIR is added to the GLOBAL layer.

    6. Let callableIdconstructor be the callable identifier for nameIR ( · ).

    7. Let constructorDef be EXTERN nameIR < typeParameterListIR > ( · ) { externMethodPrototypeIR* }.

    8. Let IC2 be where callableIdconstructor to constructorDef is added to IC1.

    9. Result in context IC2 and store STO.

  2. Else:

    1. Let callableIdmethod* be the list obtained by repeating:

      for each externMethodPrototypeIR in externMethodPrototypeIR*

    2. Let externMethodTypeDefIR* be the list obtained by repeating:

      for each externMethodPrototypeIR in externMethodPrototypeIR*

    3. Let externMethodTypeDefEnv be { ( callableIdmethod : externMethodTypeDefIR )* }.

    4. Let externObjectTypeDefIR be EXTERN nameIR < typeParameterListIR , · > externMethodTypeDefEnv.

    5. Let IC1 be IC0 where nameIR to externObjectTypeDefIR is added to the GLOBAL layer.

    6. Let callableIdconstructor* be the list obtained by repeating:

      for each externConstructorPrototypeIR in externConstructorPrototypeIR*

    7. Let constructorDef* be the list obtained by repeating:

      for each externConstructorPrototypeIR in externConstructorPrototypeIR*

    8. Let IC2 be where each of callableIdconstructor* to each of constructorDef* are added to IC1.

    9. Result in context IC2 and store STO.

11.11. Parser declarations

A parser declaration introduces a programmable parser:

parserDeclaration
   : annotationList PARSER name typeParameterListOpt `( parameterList )
       constructorParameterListOpt
       `{ parserLocalDeclarationList parserStateList }
   ;

parserLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | valueSetDeclaration
   ;

parserState
   : annotationList STATE name `{ parserStatementList transitionStatement }
   ;

11.11.1. Type checking

After type checking, a parser declaration is represented in P4IR as:

parserDeclarationIR
   : annotationList PARSER nameIR `< typeParameterListIR , typeParameterListIR >
       `( parameterListIR ) `( constructorParameterListIR )
       `{ parserLocalDeclarationListIR parserStateListIR }
   ;

parserLocalDeclarationIR
   : constantDeclarationIR
   | instantiationIR
   | variableDeclarationIR
   | valueSetDeclarationIR
   ;

parserStateIR
   : annotationList STATE nameIR
       `{ parserStatementListIR transitionStatementIR }
   ;
Click to view the specification source
rulegroup Decl_ok/parserDeclaration:
  rule Decl_ok/parserDeclaration:
  TC_0 |- annotationList PARSER name typeParameterListOpt `(parameterList) constructorParameterListOpt `{parserLocalDeclarationList parserStateList} : TC_7 parserDeclarationIR
 -- if TC_1 = TC_0[BLOCK.KIND = PARSER]
 -- TypeParameterListOpt_ok: BLOCK TC_1 |- typeParameterListOpt : TC_2 typeId_expl*
 -- ConstructorParameterListOpt_ok: TC_2 |- constructorParameterListOpt : TC_3 constructorParameterIR* # typeId_impl*
 -- ParameterList_ok: BLOCK TC_3 |- parameterList : TC_4 parameterIR* # eps
 -- ParserLocalDeclList_ok: TC_4 |- parserLocalDeclarationList : TC_5 parserLocalDeclarationIR*
 -- if TC_6 = TC_5[LOCAL.KIND = PARSER_STATE]
 -- ParserStateList_ok: TC_6 |- parserStateList : parserStateIR*
 -- if callableTypeDefIR = PARSER_APPLY `(parameterIR*)
 -- CallableTypeDef_wf: $bound(BLOCK, TC_2) |- callableTypeDefIR
 -- if nameIR = $name(name)
 -- if constructorId = $constructorId(name, constructorParameterListOpt)
 -- if typeDefIR_parser = PARSER nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*)
 -- if typeIR_parser = $typeIR_of_typeDefIR(typeDefIR_parser)
 -- if constructorTypeDefIR = CONSTRUCTOR `<typeId_expl* , typeId_impl*> `(constructorParameterIR*) : typeIR_parser
 -- ConstructorTypeDef_wf: $bound(GLOBAL, TC_0) |- constructorTypeDefIR
 -- if TC_7 = $add_constructorDef_t(TC_0, constructorId, constructorTypeDefIR)
 -- if parserDeclarationIR = annotationList PARSER nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*) `(constructorParameterIR*) `{parserLocalDeclarationIR* parserStateIR*}
  1. Let TC1 be TC0 with BLOCK.KIND set to PARSER.

  2. Let context TC2 and type parameters typeIdexpl* be

  3. Let context TC3, constructorParameterIR*, and fresh type variables typeIdimpl* be

  4. Let context TC4, parameterIR*, and fresh type variables typeId* be

  5. Check that typeId* is an empty list.

  6. Let context TC5 and parserLocalDeclarationIR* be

  7. Let TC6 be TC5 with LOCAL.KIND set to PARSER_STATE.

  8. Let parserStateIR* be

  9. Let callableTypeDefIR be PARSER_APPLY ( parameterIR* ).

  10. Let bound be bound type variables from the BLOCK layer of TC2.

  11. Check that callableTypeDefIR is a well-formed callable type definition, with bound type variables bound.

  12. Let nameIR be the name of name.

  13. Let constructorId be the constructor identifier for name constructorParameterListOpt.

  14. Let typeDefIRparser be PARSER nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ).

  15. Let typeIRparser be the underlying type of typeDefIRparser.

  16. Let constructorTypeDefIR be CONSTRUCTOR < typeIdexpl* , typeIdimpl* > ( constructorParameterIR* ) : typeIRparser.

  17. Let bound be bound type variables from the GLOBAL layer of TC0.

  18. Check that constructorTypeDefIR is a well-formed constructor type definition, with bound type variables bound.

  19. Let TC7 be where constructorId to constructorTypeDefIR is added to TC0.

  20. Let parserDeclarationIR be annotationList PARSER nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) ( constructorParameterIR* ) { parserLocalDeclarationIR* parserStateIR* }.

  21. Result in context TC7 and parserDeclarationIR.

11.11.2. Compile-time evaluation

At compile-time, parser declarations are loaded into the context as parser object constructors.

Click to view the specification source
rulegroup Decl_inst/parserDeclarationIR:
  rule Decl_inst/parserDeclarationIR:
  IC_0 STO |- annotationList PARSER nameIR `<typeParameterListIR_expl , typeParameterListIR_impl> `(parameterListIR) `(constructorParameterListIR) `{parserLocalDeclarationListIR parserStateListIR} : IC_1 STO
 -- if callableId = $callableId_IR(nameIR, constructorParameterListIR)
 -- if typeParameterListIR = typeParameterListIR_expl ++ typeParameterListIR_impl
 -- if constructorDef = PARSER `<typeParameterListIR> `(parameterListIR) `(constructorParameterListIR) `{parserLocalDeclarationListIR parserStateListIR}
 -- if IC_1 = $add_constructorDef_i(IC_0, callableId, constructorDef)
  1. Let callableId be the callable identifier for nameIR ( constructorParameterListIR ).

  2. Let typeParameterListIR be typeParameterListIRexpl concatenated with typeParameterListIRimpl.

  3. Let constructorDef be PARSER < typeParameterListIR > ( parameterListIR ) ( constructorParameterListIR ) { parserLocalDeclarationListIR parserStateListIR }.

  4. Let IC1 be where callableId to constructorDef is added to IC0.

  5. Result in context IC1 and store STO.

When instantiated, an instance of a parser declaration is created:

parserObject
   : PARSER `< theta > `( parameterListIR )
       `{ frame parserLocalDeclarationListIR stateEnv }
   ;

See Section 10.4 for details about parser objects.

11.12. Control declarations

A control declaration introduces a control block:

controlDeclaration
   : annotationList CONTROL name typeParameterListOpt `( parameterList )
       constructorParameterListOpt
       `{ controlLocalDeclarationList APPLY controlBody }
   ;

controlLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | actionDeclaration
   | tableDeclaration
   ;

controlBody = blockStatement

11.12.1. Type checking

After type checking, a control declaration is represented in P4IR as:

controlDeclarationIR
   : annotationList CONTROL nameIR
       `< typeParameterListIR , typeParameterListIR > `( parameterListIR )
       `( constructorParameterListIR )
       `{ controlLocalDeclarationListIR APPLY controlBodyIR }
   ;

controlLocalDeclarationIR
   : constantDeclarationIR
   | instantiationIR
   | variableDeclarationIR
   | actionDeclarationIR
   | tableDeclarationIR
   ;

controlBodyIR = blockStatementIR
Click to view the specification source
rulegroup Decl_ok/controlDeclaration:
  rule Decl_ok/controlDeclaration:
  TC_0 |- annotationList CONTROL name typeParameterListOpt `(parameterList) constructorParameterListOpt `{controlLocalDeclarationList APPLY controlBody} : TC_7 controlDeclarationIR
 -- if TC_1 = TC_0[BLOCK.KIND = CONTROL]
 -- TypeParameterListOpt_ok: BLOCK TC_1 |- typeParameterListOpt : TC_2 typeId_expl*
 -- ConstructorParameterListOpt_ok: TC_2 |- constructorParameterListOpt : TC_3 constructorParameterIR* # typeId_impl*
 -- ParameterList_ok: BLOCK TC_3 |- parameterList : TC_4 parameterIR* # eps
 -- ControlLocalDeclList_ok: TC_4 |- controlLocalDeclarationList : TC_5 controlLocalDeclarationIR*
 -- if TC_6 = TC_5[LOCAL.KIND = CONTROL_APPLY_METHOD]
 -- Block_ok: TC_6 CONT NOLOOP |- controlBody : _ _ controlBodyIR
 -- if callableTypeDefIR = CONTROL_APPLY `(parameterIR*)
 -- CallableTypeDef_wf: $bound(BLOCK, TC_2) |- callableTypeDefIR
 -- if nameIR = $name(name)
 -- if constructorId = $constructorId(name, constructorParameterListOpt)
 -- if typeDefIR_control = CONTROL nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*)
 -- if typeIR_control = $typeIR_of_typeDefIR(typeDefIR_control)
 -- if constructorTypeDefIR = CONSTRUCTOR `<typeId_expl* , typeId_impl*> `(constructorParameterIR*) : typeIR_control
 -- ConstructorTypeDef_wf: $bound(GLOBAL, TC_0) |- constructorTypeDefIR
 -- if TC_7 = $add_constructorDef_t(TC_0, constructorId, constructorTypeDefIR)
 -- if controlDeclarationIR = annotationList CONTROL nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*) `(constructorParameterIR*) `{controlLocalDeclarationIR* APPLY controlBodyIR}
  1. Let TC1 be TC0 with BLOCK.KIND set to CONTROL.

  2. Let context TC2 and type parameters typeIdexpl* be

  3. Let context TC3, constructorParameterIR*, and fresh type variables typeIdimpl* be

  4. Let context TC4, parameterIR*, and fresh type variables typeId* be

  5. Check that typeId* is an empty list.

  6. Let context TC5 and controlLocalDeclarationIR* be

  7. Let TC6 be TC5 with LOCAL.KIND set to CONTROL_APPLY_METHOD.

  8. Let context _, abstract control flow _, and controlBodyIR be

  9. Let callableTypeDefIR be CONTROL_APPLY ( parameterIR* ).

  10. Let bound be bound type variables from the BLOCK layer of TC2.

  11. Check that callableTypeDefIR is a well-formed callable type definition, with bound type variables bound.

  12. Let nameIR be the name of name.

  13. Let constructorId be the constructor identifier for name constructorParameterListOpt.

  14. Let typeDefIRcontrol be CONTROL nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ).

  15. Let typeIRcontrol be the underlying type of typeDefIRcontrol.

  16. Let constructorTypeDefIR be CONSTRUCTOR < typeIdexpl* , typeIdimpl* > ( constructorParameterIR* ) : typeIRcontrol.

  17. Let bound be bound type variables from the GLOBAL layer of TC0.

  18. Check that constructorTypeDefIR is a well-formed constructor type definition, with bound type variables bound.

  19. Let TC7 be where constructorId to constructorTypeDefIR is added to TC0.

  20. Let controlDeclarationIR be annotationList CONTROL nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) ( constructorParameterIR* ) { controlLocalDeclarationIR* APPLY controlBodyIR }.

  21. Result in context TC7 and controlDeclarationIR.

11.12.2. Compile-time evaluation

At compile-time, control declarations are loaded into the context as control object constructors.

Click to view the specification source
rulegroup Decl_inst/controlDeclarationIR:
  rule Decl_inst/controlDeclarationIR:
  IC_0 STO |- annotationList CONTROL nameIR `<typeParameterListIR_expl , typeParameterListIR_impl> `(parameterListIR) `(constructorParameterListIR) `{controlLocalDeclarationListIR APPLY controlBodyIR} : IC_1 STO
 -- if callableId = $callableId_IR(nameIR, constructorParameterListIR)
 -- if typeParameterListIR = typeParameterListIR_expl ++ typeParameterListIR_impl
 -- if constructorDef = CONTROL `<typeParameterListIR> `(parameterListIR) `(constructorParameterListIR) `{controlLocalDeclarationListIR APPLY controlBodyIR}
 -- if IC_1 = $add_constructorDef_i(IC_0, callableId, constructorDef)
  1. Let callableId be the callable identifier for nameIR ( constructorParameterListIR ).

  2. Let typeParameterListIR be typeParameterListIRexpl concatenated with typeParameterListIRimpl.

  3. Let constructorDef be CONTROL < typeParameterListIR > ( parameterListIR ) ( constructorParameterListIR ) { controlLocalDeclarationListIR APPLY controlBodyIR }.

  4. Let IC1 be where callableId to constructorDef is added to IC0.

  5. Result in context IC1 and store STO.

When instantiated, an instance of a control declaration is created:

controlObject
   : CONTROL `< theta > `( parameterListIR )
       `{ frame controlLocalDeclarationListIR actionDefEnv controlBodyIR }
   ;

See Section 10.5 for details about control objects.

11.13. Enum type declaration

An enumeration type is defined using the following syntax:

enumTypeDeclaration
   : annotationList ENUM name `{ nameList trailingCommaOpt }
   | annotationList ENUM type name `{ namedExpressionList trailingCommaOpt }
   ;

namedExpressionList
   : namedExpression
   | namedExpressionList , namedExpression
   ;

namedExpression
   : name = expression
   ;

After type checking, enum type declarations are represented as follows:

enumTypeDeclarationIR
   : annotationList ENUM nameIR `{ nameListIR }
   | annotationList ENUM typeIR nameIR `{ namedValueListIR }
   ;

namedValueListIR = namedValueIR*

namedValueIR
   : nameIR = value
   ;

See Section 8.4.8 for more details on enums.

11.13.1. Enum type declarations without an underyling type

11.13.1.1. Type checking
Click to view the specification source
rulegroup Decl_ok/enumTypeDeclaration-non-serializable:
  rule Decl_ok/enumTypeDeclaration-non-serializable:
  TC_0 |- annotationList ENUM name `{nameList_field _} : TC_2 enumTypeDeclarationIR
 -- if nameIR = $name(name)
 -- if name_field* = $flatten_nameList(nameList_field)
 -- (if (nameIR_field = $name(name_field)))*
 -- if enumTypeDefIR = ENUM nameIR `{nameIR_field*}
 -- TypeDef_wf: $bound(GLOBAL, TC_0) |- enumTypeDefIR
 -- if TC_1 = $add_typeDef_t(GLOBAL, TC_0, nameIR, enumTypeDefIR)
 -- (if (id_field = nameIR ++ "." ++ nameIR_field))*
 -- (if (value_field = nameIR . nameIR_field))*
 -- (if (varTypeIR = `EMPTY enumTypeDefIR LCTK value_field))*
 -- if TC_2 = $add_vars_t(GLOBAL, TC_1, id_field*, varTypeIR*)
 -- if enumTypeDeclarationIR = annotationList ENUM nameIR `{nameIR_field*}
  1. Let nameIR be the name of name.

  2. Let namefield* be nameListfield flattened.

  3. Let nameIRfield* be the list obtained by repeating:

    for each namefield in namefield*

  4. Let enumTypeDefIR be ENUM nameIR { nameIRfield* }.

  5. Let bound be bound type variables from the GLOBAL layer of TC0.

  6. Check that enumTypeDefIR is a well-formed type definition, with bound type variables bound.

  7. Let TC1 be TC0 where nameIR to enumTypeDefIR is added to the GLOBAL layer.

  8. Let idfield* be the list obtained by repeating:

    • Let idfield be nameIR concatenated with "." concatenated with nameIRfield.

    for each nameIRfield in nameIRfield*

  9. Let valuefield* be the list obtained by repeating:

    • Let valuefield be nameIR . nameIRfield.

    for each nameIRfield in nameIRfield*

  10. Let varTypeIR* be the list obtained by repeating:

    • Let varTypeIR be `EMPTY enumTypeDefIR LCTK valuefield.

    for each valuefield in valuefield*

  11. Let TC2 be TC1 where each of idfield* to each of varTypeIR* are added to the GLOBAL layer.

  12. Let enumTypeDeclarationIR be annotationList ENUM nameIR { nameIRfield* }.

  13. Result in context TC2 and enumTypeDeclarationIR.

11.13.1.2. Compile-time evaluation

At compile-time, enum type declarations are loaded into the context by:

Click to view the specification source
rulegroup Decl_inst/enumTypeDeclarationIR-non-serializable:
  rule Decl_inst/enumTypeDeclarationIR-non-serializable:
  IC_0 STO |- annotationList ENUM nameIR `{nameIR_field*} : IC_2 STO
 -- (if (nameIR_enum_field = nameIR ++ "." ++ nameIR_field))*
 -- (if (value_enum_field = nameIR . nameIR_field))*
 -- if IC_1 = $add_vars_i(GLOBAL, IC_0, nameIR_enum_field*, value_enum_field*)
 -- if enumTypeDefIR = ENUM nameIR `{nameIR_field*}
 -- if IC_2 = $add_typeDef_i(GLOBAL, IC_1, nameIR, enumTypeDefIR)
  1. Let nameIRenum_field* be the list obtained by repeating:

    • Let nameIRenum_field be nameIR concatenated with "." concatenated with nameIRfield.

    for each nameIRfield in nameIRfield*

  2. Let valueenum_field* be the list obtained by repeating:

    • Let valueenum_field be nameIR . nameIRfield.

    for each nameIRfield in nameIRfield*

  3. Let IC1 be IC0 where each of nameIRenum_field* to each of valueenum_field* are added to the GLOBAL layer.

  4. Let enumTypeDefIR be ENUM nameIR { nameIRfield* }.

  5. Let IC2 be IC1 where nameIR to enumTypeDefIR is added to the GLOBAL layer.

  6. Result in context IC2 and store STO.

11.13.2. Enum type declarations with an underlying type

11.13.2.1. Type checking
Click to view the specification source
rulegroup Decl_ok/enumTypeDeclaration-serializable:
  rule Decl_ok/enumTypeDeclaration-serializable:
  TC_0 |- annotationList ENUM type name `{namedExpressionList_field _} : TC_3 enumTypeDeclarationIR
 -- if B = $bound(GLOBAL, TC_0)
 -- Type_ok: GLOBAL TC_0 |- type : typeIR # eps
 -- Type_wf: B |- typeIR
 -- if nameIR = $name(name)
 -- Enum_serializable_fieldList_ok: TC_0 nameIR typeIR |- namedExpressionList_field : TC_1 namedValueIR_field*
 -- (if ((nameIR_field = value_field) = namedValueIR_field))*
 -- (if (id_field = nameIR ++ "." ++ nameIR_field))*
 -- if enumTypeDefIR = ENUM nameIR `<typeIR> `{(nameIR_field = value_field ;)*}
 -- (if (varTypeIR = `EMPTY enumTypeDefIR LCTK value_field))*
 -- if TC_2 = $add_vars_t(GLOBAL, TC_0, id_field*, varTypeIR*)
 -- TypeDef_wf: B |- enumTypeDefIR
 -- if TC_3 = $add_typeDef_t(GLOBAL, TC_2, nameIR, enumTypeDefIR)
 -- if enumTypeDeclarationIR = annotationList ENUM typeIR nameIR `{namedValueIR_field*}
  1. Let B be bound type variables from the GLOBAL layer of TC0.

  2. Let typeIR and fresh type variables typeId* be

  3. Check that typeId* is an empty list.

  4. Check that typeIR is a well-formed type, with bound type variables B.

  5. Let nameIR be the name of name.

  6. Let context TC1 and field values namedValueIRfield* be

  7. Let nameIRfield* be the list and valuefield* be the list obtained by repeating:

    • Let nameIRfield = valuefield be namedValueIRfield.

    for each namedValueIRfield in namedValueIRfield*

  8. Let idfield* be the list obtained by repeating:

    • Let idfield be nameIR concatenated with "." concatenated with nameIRfield.

    for each nameIRfield in nameIRfield*

  9. Let enumTypeDefIR be ENUM nameIR < typeIR > { ( nameIRfield = valuefield ; )* }.

  10. Let varTypeIR* be the list obtained by repeating:

    • Let varTypeIR be `EMPTY enumTypeDefIR LCTK valuefield.

    for each valuefield in valuefield*

  11. Let TC2 be TC0 where each of idfield* to each of varTypeIR* are added to the GLOBAL layer.

  12. Check that enumTypeDefIR is a well-formed type definition, with bound type variables B.

  13. Let TC3 be TC2 where nameIR to enumTypeDefIR is added to the GLOBAL layer.

  14. Let enumTypeDeclarationIR be annotationList ENUM typeIR nameIR { namedValueIRfield* }.

  15. Result in context TC3 and enumTypeDeclarationIR.

An enum field is type-checked as follows:

Click to view the specification source
relation Enum_serializable_field_ok: typingContext nameIR typeIR |- namedExpression : typingContext namedValueIR
Click to view the specification source
rulegroup Enum_serializable_field_ok:
  rule Enum_serializable_field_ok:
  TC_0 nameIR_enum typeIR |- name = expression : TC_1 (nameIR = value)
 -- Expr_ok: BLOCK TC_0 |- expression : typedExpressionIR
 -- if typedExpressionIR_cast = $cast_unary(typedExpressionIR, typeIR)
 -- if LCTK = $ctk_of_typedExpressionIR(typedExpressionIR_cast)
 -- Expr_eval_lctk: BLOCK TC_0 |- typedExpressionIR_cast ~> value
 -- if nameIR = $name(name)
 -- if varTypeIR = `EMPTY typeIR LCTK value
 -- if TC_1 = $add_var_t(BLOCK, TC_0, nameIR, varTypeIR)

A list of enum fields is type-checked with the following relation:

Click to view the specification source
relation Enum_serializable_fieldList_ok: typingContext nameIR typeIR |- namedExpressionList : typingContext namedValueIR*
11.13.2.2. Compile-time evaluation

At compile-time, enum type declarations are loaded into the context by:

Click to view the specification source
rulegroup Decl_inst/enumTypeDeclarationIR-serializable:
  rule Decl_inst/enumTypeDeclarationIR-serializable:
  IC_0 STO |- annotationList ENUM typeIR nameIR `{(nameIR_field = value_field)*} : IC_2 STO
 -- (if (nameIR_serenum_field = nameIR ++ "." ++ nameIR_field))*
 -- (if (value_serenum_field = nameIR . nameIR_field . value_field))*
 -- if IC_1 = $add_vars_i(GLOBAL, IC_0, nameIR_serenum_field*, value_serenum_field*)
 -- if enumTypeDefIR = ENUM nameIR `<typeIR> `{(nameIR_field = value_field ;)*}
 -- if IC_2 = $add_typeDef_i(GLOBAL, IC_1, nameIR, enumTypeDefIR)
  1. Let nameIRserenum_field* be the list obtained by repeating:

    • Let nameIRserenum_field be nameIR concatenated with "." concatenated with nameIRfield.

    for each nameIRfield in nameIRfield*

  2. Let valueserenum_field* be the list obtained by repeating:

    • Let valueserenum_field be nameIR . nameIRfield . valuefield.

    for each nameIRfield in nameIRfield* and valuefield in valuefield*

  3. Let IC1 be IC0 where each of nameIRserenum_field* to each of valueserenum_field* are added to the GLOBAL layer.

  4. Let enumTypeDefIR be ENUM nameIR < typeIR > { ( nameIRfield = valuefield ; )* }.

  5. Let IC2 be IC1 where nameIR to enumTypeDefIR is added to the GLOBAL layer.

  6. Result in context IC2 and store STO.

11.14. Struct type declaration

A struct type is defined with the following syntax:

structTypeDeclaration
   : annotationList STRUCT name typeParameterListOpt `{ typeFieldList }
   ;

typeFieldList
   : /* empty */
   | typeFieldList typeField
   ;

typeField
   : annotationList type name ;
   ;

See Section 8.4.5 for more information about struct types.

11.14.1. Type checking

After type checking, a struct type declaration is represented in P4IR as:

structTypeDeclarationIR
   : annotationList STRUCT nameIR `< typeParameterListIR > `{ typeFieldListIR }
   ;

typeFieldListIR = typeFieldIR*

typeFieldIR
   : annotationList typeIR nameIR ;
   ;
Click to view the specification source
rulegroup Decl_ok/structTypeDeclaration:
  rule Decl_ok/structTypeDeclaration:
  TC_0 |- annotationList STRUCT name typeParameterListOpt `{typeFieldList} : TC_2 structTypeDeclarationIR
 -- TypeParameterListOpt_ok: BLOCK TC_0 |- typeParameterListOpt : TC_1 typeId*
 -- if (annotationList_field type_field name_field ;)* = $flatten_typeFieldList(typeFieldList)
 -- (Type_ok: BLOCK TC_1 |- type_field : typeIR_field # eps)*
 -- if nameIR = $name(name)
 -- (if (nameIR_field = $name(name_field)))*
 -- if structTypeDefIR = STRUCT nameIR `<typeId*> `{(annotationList_field typeIR_field nameIR_field ;)*}
 -- TypeDef_wf: $bound(GLOBAL, TC_0) |- structTypeDefIR
 -- if TC_2 = $add_typeDef_t(GLOBAL, TC_0, nameIR, structTypeDefIR)
 -- if structTypeDeclarationIR = annotationList STRUCT nameIR `<typeId*> `{(annotationList_field typeIR_field nameIR_field ;)*}
  1. Let context TC1 and type parameters typeId* be

  2. Let ( annotationListfield typefield namefield ; )* be typeFieldList flattened.

  3. Let typeIRfield* be the list and typeId'** be the list obtained by repeating:

    for each typefield in typefield*

  4. Check that typeId'* is an empty list, for all typeId'* in typeId'**.

  5. Let nameIR be the name of name.

  6. Let nameIRfield* be the list obtained by repeating:

    for each namefield in namefield*

  7. Let structTypeDefIR be STRUCT nameIR < typeId* > { ( annotationListfield typeIRfield nameIRfield ; )* }.

  8. Let bound be bound type variables from the GLOBAL layer of TC0.

  9. Check that structTypeDefIR is a well-formed type definition, with bound type variables bound.

  10. Let TC2 be TC0 where nameIR to structTypeDefIR is added to the GLOBAL layer.

  11. Let structTypeDeclarationIR be annotationList STRUCT nameIR < typeId* > { ( annotationListfield typeIRfield nameIRfield ; )* }.

  12. Result in context TC2 and structTypeDeclarationIR.

11.14.2. Compile-time evaluation

At compile-time, struct type declarations are loaded into the context by:

Click to view the specification source
rulegroup Decl_inst/structTypeDeclarationIR:
  rule Decl_inst/structTypeDeclarationIR:
  IC_0 STO |- annotationList STRUCT nameIR `<typeParameterListIR> `{typeFieldIR*} : IC_1 STO
 -- (if (annotationList_field typeIR_field nameIR_field ; = typeFieldIR))*
 -- if structTypeDefIR = STRUCT nameIR `<typeParameterListIR> `{(annotationList_field typeIR_field nameIR_field ;)*}
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, structTypeDefIR)
  1. Let annotationListfield* be the list, nameIRfield* be the list, and typeIRfield* be the list obtained by repeating:

    • Let annotationListfield typeIRfield nameIRfield ; be typeFieldIR.

    for each typeFieldIR in typeFieldIR*

  2. Let structTypeDefIR be STRUCT nameIR < typeParameterListIR > { ( annotationListfield typeIRfield nameIRfield ; )* }.

  3. Let IC1 be IC0 where nameIR to structTypeDefIR is added to the GLOBAL layer.

  4. Result in context IC1 and store STO.

11.15. Header type declaration

A header type is defined with the following syntax:

headerTypeDeclaration
   : annotationList HEADER name typeParameterListOpt `{ typeFieldList }
   ;

typeFieldList
   : /* empty */
   | typeFieldList typeField
   ;

typeField
   : annotationList type name ;
   ;

See Section 8.4.6 for more information about header types.

11.15.1. Type checking

After type checking, a header type declaration is represented in P4IR as:

headerTypeDeclarationIR
   : annotationList HEADER nameIR `< typeParameterListIR > `{ typeFieldListIR }
   ;

typeFieldListIR = typeFieldIR*

typeFieldIR
   : annotationList typeIR nameIR ;
   ;
Click to view the specification source
rulegroup Decl_ok/headerTypeDeclaration:
  rule Decl_ok/headerTypeDeclaration:
  TC_0 |- annotationList HEADER name typeParameterListOpt `{typeFieldList} : TC_2 headerTypeDeclarationIR
 -- TypeParameterListOpt_ok: BLOCK TC_0 |- typeParameterListOpt : TC_1 typeId*
 -- if (annotationList_f type_f name_f ;)* = $flatten_typeFieldList(typeFieldList)
 -- (Type_ok: BLOCK TC_1 |- type_f : typeIR_f # eps)*
 -- if nameIR = $name(name)
 -- (if (nameIR_f = $name(name_f)))*
 -- if headerTypeDefIR = HEADER nameIR `<typeId*> `{(annotationList_f typeIR_f nameIR_f ;)*}
 -- TypeDef_wf: $bound(GLOBAL, TC_0) |- headerTypeDefIR
 -- if TC_2 = $add_typeDef_t(GLOBAL, TC_0, nameIR, headerTypeDefIR)
 -- if headerTypeDeclarationIR = annotationList HEADER nameIR `<typeId*> `{(annotationList_f typeIR_f nameIR_f ;)*}
  1. Let context TC1 and type parameters typeId* be

  2. Let ( annotationListf typef namef ; )* be typeFieldList flattened.

  3. Let typeIRf* be the list and typeId'** be the list obtained by repeating:

    for each typef in typef*

  4. Check that typeId'* is an empty list, for all typeId'* in typeId'**.

  5. Let nameIR be the name of name.

  6. Let nameIRf* be the list obtained by repeating:

    for each namef in namef*

  7. Let headerTypeDefIR be HEADER nameIR < typeId* > { ( annotationListf typeIRf nameIRf ; )* }.

  8. Let bound be bound type variables from the GLOBAL layer of TC0.

  9. Check that headerTypeDefIR is a well-formed type definition, with bound type variables bound.

  10. Let TC2 be TC0 where nameIR to headerTypeDefIR is added to the GLOBAL layer.

  11. Let headerTypeDeclarationIR be annotationList HEADER nameIR < typeId* > { ( annotationListf typeIRf nameIRf ; )* }.

  12. Result in context TC2 and headerTypeDeclarationIR.

11.15.2. Compile-time evaluation

At compile-time, header type declarations are loaded into the context by:

Click to view the specification source
rulegroup Decl_inst/headerTypeDeclarationIR:
  rule Decl_inst/headerTypeDeclarationIR:
  IC_0 STO |- annotationList HEADER nameIR `<typeParameterListIR> `{typeFieldIR*} : IC_1 STO
 -- (if (annotationList_field typeIR_field nameIR_field ; = typeFieldIR))*
 -- if headerTypeDefIR = HEADER nameIR `<typeParameterListIR> `{(annotationList_field typeIR_field nameIR_field ;)*}
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, headerTypeDefIR)
  1. Let annotationListfield* be the list, nameIRfield* be the list, and typeIRfield* be the list obtained by repeating:

    • Let annotationListfield typeIRfield nameIRfield ; be typeFieldIR.

    for each typeFieldIR in typeFieldIR*

  2. Let headerTypeDefIR be HEADER nameIR < typeParameterListIR > { ( annotationListfield typeIRfield nameIRfield ; )* }.

  3. Let IC1 be IC0 where nameIR to headerTypeDefIR is added to the GLOBAL layer.

  4. Result in context IC1 and store STO.

11.16. Header union type declaration

A header union type is defined with the following syntax:

headerUnionTypeDeclaration
   : annotationList HEADER_UNION name typeParameterListOpt `{ typeFieldList }
   ;

typeFieldList
   : /* empty */
   | typeFieldList typeField
   ;

typeField
   : annotationList type name ;
   ;

See Section 8.4.7 for more information about header union types.

11.16.1. Type checking

After type checking, a header union type declaration is represented in P4IR as:

headerUnionTypeDeclarationIR
   : annotationList HEADER_UNION nameIR `< typeParameterListIR >
       `{ typeFieldListIR }
   ;

typeFieldListIR = typeFieldIR*

typeFieldIR
   : annotationList typeIR nameIR ;
   ;
Click to view the specification source
rulegroup Decl_ok/headerUnionTypeDeclaration:
  rule Decl_ok/headerUnionTypeDeclaration:
  TC_0 |- annotationList HEADER_UNION name typeParameterListOpt `{typeFieldList} : TC_2 headerUnionTypeDeclarationIR
 -- TypeParameterListOpt_ok: BLOCK TC_0 |- typeParameterListOpt : TC_1 typeId*
 -- if (annotationList_f type_f name_f ;)* = $flatten_typeFieldList(typeFieldList)
 -- (Type_ok: BLOCK TC_1 |- type_f : typeIR_f # eps)*
 -- if nameIR = $name(name)
 -- (if (nameIR_f = $name(name_f)))*
 -- if headerUnionTypeDefIR = HEADER_UNION nameIR `<typeId*> `{(annotationList_f typeIR_f nameIR_f ;)*}
 -- TypeDef_wf: $bound(GLOBAL, TC_0) |- headerUnionTypeDefIR
 -- if TC_2 = $add_typeDef_t(GLOBAL, TC_0, nameIR, headerUnionTypeDefIR)
 -- if headerUnionTypeDeclarationIR = annotationList HEADER_UNION nameIR `<typeId*> `{(annotationList_f typeIR_f nameIR_f ;)*}
  1. Let context TC1 and type parameters typeId* be

  2. Let ( annotationListf typef namef ; )* be typeFieldList flattened.

  3. Let typeIRf* be the list and typeId'** be the list obtained by repeating:

    for each typef in typef*

  4. Check that typeId'* is an empty list, for all typeId'* in typeId'**.

  5. Let nameIR be the name of name.

  6. Let nameIRf* be the list obtained by repeating:

    for each namef in namef*

  7. Let headerUnionTypeDefIR be HEADER_UNION nameIR < typeId* > { ( annotationListf typeIRf nameIRf ; )* }.

  8. Let bound be bound type variables from the GLOBAL layer of TC0.

  9. Check that headerUnionTypeDefIR is a well-formed type definition, with bound type variables bound.

  10. Let TC2 be TC0 where nameIR to headerUnionTypeDefIR is added to the GLOBAL layer.

  11. Let headerUnionTypeDeclarationIR be annotationList HEADER_UNION nameIR < typeId* > { ( annotationListf typeIRf nameIRf ; )* }.

  12. Result in context TC2 and headerUnionTypeDeclarationIR.

11.16.2. Compile-time evaluation

At compile-time, header union type declarations are loaded into the context by:

Click to view the specification source
rulegroup Decl_inst/headerUnionTypeDeclarationIR:
  rule Decl_inst/headerUnionTypeDeclarationIR:
  IC_0 STO |- annotationList HEADER_UNION nameIR `<typeParameterListIR> `{typeFieldIR*} : IC_1 STO
 -- (if (annotationList_field typeIR_field nameIR_field ; = typeFieldIR))*
 -- if headerUnionTypeDefIR = HEADER_UNION nameIR `<typeParameterListIR> `{(annotationList_field typeIR_field nameIR_field ;)*}
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, headerUnionTypeDefIR)
  1. Let annotationListfield* be the list, nameIRfield* be the list, and typeIRfield* be the list obtained by repeating:

    • Let annotationListfield typeIRfield nameIRfield ; be typeFieldIR.

    for each typeFieldIR in typeFieldIR*

  2. Let headerUnionTypeDefIR be HEADER_UNION nameIR < typeParameterListIR > { ( annotationListfield typeIRfield nameIRfield ; )* }.

  3. Let IC1 be IC0 where nameIR to headerUnionTypeDefIR is added to the GLOBAL layer.

  4. Result in context IC1 and store STO.

11.17. Typedef declaration

A typedef or type declaration introduces an alias for an existing type.

typedef
   : type
   | derivedTypeDeclaration
   ;

typedefDeclaration
   : annotationList TYPEDEF typedef name ;
   | annotationList TYPE type name ;
   ;

In P4IR, typedef and type declarations are represented as:

typedefIR
   : typeIR
   | derivedTypeDeclarationIR
   ;

typedefDeclarationIR
   : annotationList TYPEDEF typedefIR nameIR ;
   | annotationList TYPE typeIR nameIR ;
   ;

11.17.1. typedef declaration

See Section 8.5.7 for more details about typedef aliases.

11.17.1.1. Type checking
Click to view the specification source
rulegroup Decl_ok/typedefDeclaration-typedef:
  rule Decl_ok/type:
  TC_0 |- annotationList TYPEDEF type name ; : TC_1 typedefDeclarationIR
 -- if B = $bound(GLOBAL, TC_0)
 -- Type_ok: GLOBAL TC_0 |- type : typeIR # eps
 -- Type_wf: B |- typeIR
 -- if nameIR = $name(name)
 -- if typeDefIR_typedef = TYPEDEF nameIR typeIR
 -- TypeDef_wf: B |- typeDefIR_typedef
 -- if TC_1 = $add_typeDef_t(GLOBAL, TC_0, nameIR, typeDefIR_typedef)
 -- if typedefDeclarationIR = annotationList TYPEDEF typeIR nameIR ;
  rule Decl_ok/derivedTypeDeclaration-mono:
  TC_0 |- annotationList TYPEDEF derivedTypeDeclaration name ; : TC_1 typedefDeclarationIR
 -- Decl_ok: TC_0 |- derivedTypeDeclaration : TC_1 derivedTypeDeclarationIR
 -- if `{typeId} = $diff_set<typeId>($dom_map<typeId, typeDefIR>(TC_1.GLOBAL.TYPE), $dom_map<typeId, typeDefIR>(TC_0.GLOBAL.TYPE))
 -- if typeDefIR = $find_typeDef_t(GLOBAL, TC_1, ` typeId)
 -- if $is_monomorphic_typeDefIR(typeDefIR)
 -- if typeIR = $typeIR_of_typeDefIR(typeDefIR)
 -- if nameIR = $name(name)
 -- if typedefTypeIR = TYPEDEF nameIR typeIR
 -- TypeDef_wf: $bound(GLOBAL, TC_0) |- typedefTypeIR
 -- if TC_2 = $add_typeDef_t(GLOBAL, TC_0, nameIR, typedefTypeIR)
 -- if typedefDeclarationIR = annotationList TYPEDEF derivedTypeDeclarationIR nameIR ;
  rule Decl_ok/derivedTypeDeclaration-poly:
  TC_0 |- annotationList TYPEDEF derivedTypeDeclaration name ; : TC_1 typedefDeclarationIR
 -- Decl_ok: TC_0 |- derivedTypeDeclaration : TC_1 derivedTypeDeclarationIR
 -- if `{typeId} = $diff_set<typeId>($dom_map<typeId, typeDefIR>(TC_1.GLOBAL.TYPE), $dom_map<typeId, typeDefIR>(TC_0.GLOBAL.TYPE))
 -- if typeDefIR = $find_typeDef_t(GLOBAL, TC_1, ` typeId)
 -- if ~$is_monomorphic_typeDefIR(typeDefIR)
 -- if (eps, eps) = $typeParameterListIR_of_typeDefIR(typeDefIR)
 -- if nameIR = $name(name)
 -- if typeIR = $specialize_typeDefIR(typeDefIR, eps)
 -- if typedefTypeIR = TYPEDEF nameIR typeIR
 -- TypeDef_wf: $bound(GLOBAL, TC_0) |- typedefTypeIR
 -- if TC_2 = $add_typeDef_t(GLOBAL, TC_0, nameIR, typedefTypeIR)
 -- if typedefDeclarationIR = annotationList TYPEDEF derivedTypeDeclarationIR nameIR ;
  1. If let type be typedef:

    1. Let B be bound type variables from the GLOBAL layer of TC0.

    2. Let typeIR and fresh type variables typeId* be

    3. Check that typeId* is an empty list.

    4. Check that typeIR is a well-formed type, with bound type variables B.

    5. Let nameIR be the name of name.

    6. Let typeDefIRtypedef be TYPEDEF nameIR typeIR.

    7. Check that typeDefIRtypedef is a well-formed type definition, with bound type variables B.

    8. Let TC1 be TC0 where nameIR to typeDefIRtypedef is added to the GLOBAL layer.

    9. Let typedefDeclarationIR be annotationList TYPEDEF typeIR nameIR ;.

    10. Result in context TC1 and typedefDeclarationIR.

  2. Else:

    1. Let derivedTypeDeclaration be typedef.

    2. Let context TC1 and declarationIR be

    3. Check that declarationIR has type derivedTypeDeclarationIR.

    4. Let derivedTypeDeclarationIR be declarationIR.

    5. Let set<typeId> be the domain of the map TC1.GLOBAL.TYPE.

    6. Let set<typeId>' be the domain of the map TC0.GLOBAL.TYPE.

    7. Let { typeId* } be the difference of the sets set<typeId> and set<typeId>'.

    8. Check that typeId* is a list of length 1.

    9. Let typeId' be typeId*.

    10. Let typeDefIR' be ! the type definition of typeId' from the GLOBAL layer of TC1.

    11. If typeDefIR' is monomorphic:

      1. Let typeIR be the underlying type of typeDefIR'.

      2. Let nameIR be the name of name.

      3. Let typedefTypeIR be TYPEDEF nameIR typeIR.

      4. Let bound be bound type variables from the GLOBAL layer of TC0.

      5. Check that typedefTypeIR is a well-formed type definition, with bound type variables bound.

      6. Let TC2 be TC0 where nameIR to typedefTypeIR is added to the GLOBAL layer.

      7. Let typedefDeclarationIR be annotationList TYPEDEF derivedTypeDeclarationIR nameIR ;.

      8. Result in context TC1 and typedefDeclarationIR.

    12. Else:

      1. Check that ( ·, · ) is equal to the type parameters of typeDefIR'.

      2. Let nameIR be the name of name.

      3. Let typeIR be typeDefIR' specialized by ·.

      4. Let typedefTypeIR be TYPEDEF nameIR typeIR.

      5. Let bound be bound type variables from the GLOBAL layer of TC0.

      6. Check that typedefTypeIR is a well-formed type definition, with bound type variables bound.

      7. Let TC2 be TC0 where nameIR to typedefTypeIR is added to the GLOBAL layer.

      8. Let typedefDeclarationIR be annotationList TYPEDEF derivedTypeDeclarationIR nameIR ;.

      9. Result in context TC1 and typedefDeclarationIR.

11.17.1.2. Compile-time evaluation

At compile-time, typedefs are loaded into the context with:

Click to view the specification source
rulegroup Decl_inst/typedefDeclarationIR-typedef:
  rule Decl_inst/typeIR:
  IC_0 STO |- annotationList TYPEDEF typeIR nameIR ; : IC_1 STO
 -- if aliasTypeDefIR = TYPEDEF nameIR typeIR
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, aliasTypeDefIR)
  rule Decl_inst/derivedTypeDeclarationIR-monomorphic:
  IC_0 STO |- annotationList TYPEDEF derivedTypeDeclarationIR nameIR ; : IC_1 STO
 -- Decl_inst: IC_0 $empty_store |- derivedTypeDeclarationIR : IC_local _
 -- if `{typeId_newtype} = $diff_set<typeId>($dom_map<typeId, typeDefIR>(IC_local.GLOBAL.TYPE), $dom_map<typeId, typeDefIR>(IC_0.GLOBAL.TYPE))
 -- if typeDefIR = $find_typeDef_i(GLOBAL, IC_local, . typeId_newtype)
 -- if $is_monomorphic_typeDefIR(typeDefIR)
 -- if typeIR = $typeIR_of_typeDefIR(typeDefIR)
 -- if aliasTypeDefIR = TYPEDEF nameIR typeIR
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, aliasTypeDefIR)
  rule Decl_inst/derivedTypeDeclaration-poly:
  IC_0 STO |- annotationList TYPEDEF derivedTypeDeclarationIR nameIR ; : IC_1 STO
 -- Decl_inst: IC_0 $empty_store |- derivedTypeDeclarationIR : IC_local _
 -- if `{typeId_newtype} = $diff_set<typeId>($dom_map<typeId, typeDefIR>(IC_local.GLOBAL.TYPE), $dom_map<typeId, typeDefIR>(IC_0.GLOBAL.TYPE))
 -- if typeDefIR = $find_typeDef_i(GLOBAL, IC_local, . typeId_newtype)
 -- if ~$is_monomorphic_typeDefIR(typeDefIR)
 -- if (eps, eps) = $typeParameterListIR_of_typeDefIR(typeDefIR)
 -- if typeIR = $specialize_typeDefIR(typeDefIR, eps)
 -- if typedefTypeIR = TYPEDEF nameIR typeIR
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, typedefTypeIR)
  1. If let typeIR be typedefIR:

    1. Let aliasTypeDefIR be TYPEDEF nameIR typeIR.

    2. Let IC1 be IC0 where nameIR to aliasTypeDefIR is added to the GLOBAL layer.

    3. Result in context IC1 and store STO.

  2. Else:

    1. Let derivedTypeDeclarationIR be typedefIR.

    2. Let context IClocal and store _ be

    3. Let set<typeId> be the domain of the map IClocal.GLOBAL.TYPE.

    4. Let set<typeId>' be the domain of the map IC0.GLOBAL.TYPE.

    5. Let { typeId* } be the difference of the sets set<typeId> and set<typeId>'.

    6. Check that typeId* is a list of length 1.

    7. Let typeIdnewtype be typeId*.

    8. Let typeDefIR' be ! the type definition of . typeIdnewtype from the GLOBAL layer of IClocal.

    9. If typeDefIR' is monomorphic:

      1. Let typeIR be the underlying type of typeDefIR'.

      2. Let aliasTypeDefIR be TYPEDEF nameIR typeIR.

      3. Let IC1 be IC0 where nameIR to aliasTypeDefIR is added to the GLOBAL layer.

      4. Result in context IC1 and store STO.

    10. Else:

      1. Check that ( ·, · ) is equal to the type parameters of typeDefIR'.

      2. Let typeIR be typeDefIR' specialized by ·.

      3. Let typedefTypeIR be TYPEDEF nameIR typeIR.

      4. Let IC1 be IC0 where nameIR to typedefTypeIR is added to the GLOBAL layer.

      5. Result in context IC1 and store STO.

11.17.2. New type declaration

See Section 8.5.8 for more details about new type aliases.

11.17.2.1. Type checking
Click to view the specification source
rulegroup Decl_ok/typedefDeclaration-newtype:
  rule Decl_ok/typedefDeclaration-newtype:
  TC_0 |- annotationList TYPE type name ; : TC_1 typedefDeclarationIR
 -- if B = $bound(GLOBAL, TC_0)
 -- Type_ok: GLOBAL TC_0 |- type : typeIR # eps
 -- Type_wf: B |- typeIR
 -- if nameIR = $name(name)
 -- if newTypeIR = TYPE nameIR typeIR
 -- TypeDef_wf: B |- newTypeIR
 -- if TC_1 = $add_typeDef_t(GLOBAL, TC_0, nameIR, newTypeIR)
 -- if typedefDeclarationIR = annotationList TYPE typeIR nameIR ;
  1. Let B be bound type variables from the GLOBAL layer of TC0.

  2. Let typeIR and fresh type variables typeId* be

  3. Check that typeId* is an empty list.

  4. Check that typeIR is a well-formed type, with bound type variables B.

  5. Let nameIR be the name of name.

  6. Let newTypeIR be TYPE nameIR typeIR.

  7. Check that newTypeIR is a well-formed type definition, with bound type variables B.

  8. Let TC1 be TC0 where nameIR to newTypeIR is added to the GLOBAL layer.

  9. Let typedefDeclarationIR be annotationList TYPE typeIR nameIR ;.

  10. Result in context TC1 and typedefDeclarationIR.

11.17.2.2. Compile-time evaluation

At compile-time, types are loaded into the context with:

Click to view the specification source
rulegroup Decl_inst/typedefDeclarationIR-newtype:
  rule Decl_inst/typedefDeclarationIR-newtype:
  IC_0 STO |- annotationList TYPE typeIR nameIR ; : IC_1 STO
 -- if aliasTypeDefIR = TYPE nameIR typeIR
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, aliasTypeDefIR)
  1. Let aliasTypeDefIR be TYPE nameIR typeIR.

  2. Let IC1 be IC0 where nameIR to aliasTypeDefIR is added to the GLOBAL layer.

  3. Result in context IC1 and store STO.

11.18. Parser type declaration

A parser type declaration introduces a new parser type.

parserTypeDeclaration
   : annotationList PARSER name typeParameterListOpt `( parameterList ) ;
   ;

See Section 8.5.2 for more details on parser object types.

11.18.1. Type checking

After type checking, a parser type declaration has the following form:

parserTypeDeclarationIR
   : annotationList PARSER nameIR `< typeParameterListIR , typeParameterListIR >
       `( parameterListIR ) ;
   ;
Click to view the specification source
rulegroup Decl_ok/parserTypeDeclaration:
  rule Decl_ok/parserTypeDeclaration:
  TC_0 |- annotationList PARSER name typeParameterListOpt `(parameterList) ; : TC_4 parserTypeDeclarationIR
 -- if TC_1 = TC_0[BLOCK.KIND = PARSER]
 -- TypeParameterListOpt_ok: BLOCK TC_1 |- typeParameterListOpt : TC_2 typeId_expl*
 -- ParameterList_ok: BLOCK TC_2 |- parameterList : TC_3 parameterIR* # typeId_impl*
 -- if nameIR = $name(name)
 -- if parserObjectTypeDefIR = PARSER nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*)
 -- TypeDef_wf: $bound(GLOBAL, TC_0) |- parserObjectTypeDefIR
 -- if TC_4 = $add_typeDef_t(GLOBAL, TC_0, nameIR, parserObjectTypeDefIR)
 -- if parserTypeDeclarationIR = annotationList PARSER nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*) ;
  1. Let TC1 be TC0 with BLOCK.KIND set to PARSER.

  2. Let context TC2 and type parameters typeIdexpl* be

  3. Let context TC3, parameterIR*, and fresh type variables typeIdimpl* be

  4. Let nameIR be the name of name.

  5. Let parserObjectTypeDefIR be PARSER nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ).

  6. Let bound be bound type variables from the GLOBAL layer of TC0.

  7. Check that parserObjectTypeDefIR is a well-formed type definition, with bound type variables bound.

  8. Let TC4 be TC0 where nameIR to parserObjectTypeDefIR is added to the GLOBAL layer.

  9. Let parserTypeDeclarationIR be annotationList PARSER nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) ;.

  10. Result in context TC4 and parserTypeDeclarationIR.

11.18.2. Compile-time evaluation

At compile-time, a parser type declaration is loaded into the context with:

Click to view the specification source
rulegroup Decl_inst/parserTypeDeclarationIR:
  rule Decl_inst/parserTypeDeclarationIR:
  IC_0 STO |- annotationList PARSER nameIR `<typeParameterListIR , typeParameterListIR_inferred> `(parameterIR*) ; : IC_1 STO
 -- if parserObjectTypeDefIR = PARSER nameIR `<typeParameterListIR , typeParameterListIR_inferred> `(parameterIR*)
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, parserObjectTypeDefIR)
  1. Let parserObjectTypeDefIR be PARSER nameIR < typeParameterListIR , typeParameterListIRinferred > ( parameterIR* ).

  2. Let IC1 be IC0 where nameIR to parserObjectTypeDefIR is added to the GLOBAL layer.

  3. Result in context IC1 and store STO.

11.19. Control type declaration

A control type declaration introduces a new control type.

controlTypeDeclaration
   : annotationList CONTROL name typeParameterListOpt `( parameterList ) ;
   ;

See Section 8.5.3 for more details on control object types.

11.19.1. Type checking

After type checking, a control type declaration has the following form:

controlTypeDeclarationIR
   : annotationList CONTROL nameIR
       `< typeParameterListIR , typeParameterListIR > `( parameterListIR ) ;
   ;
Click to view the specification source
rulegroup Decl_ok/controlTypeDeclaration:
  rule Decl_ok/controlTypeDeclaration:
  TC_0 |- annotationList CONTROL name typeParameterListOpt `(parameterList) ; : TC_4 controlTypeDeclarationIR
 -- if TC_1 = TC_0[BLOCK.KIND = CONTROL]
 -- TypeParameterListOpt_ok: BLOCK TC_1 |- typeParameterListOpt : TC_2 typeId_expl*
 -- ParameterList_ok: BLOCK TC_2 |- parameterList : TC_3 parameterIR* # typeId_impl*
 -- if nameIR = $name(name)
 -- if controlObjectTypeDefIR = CONTROL nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*)
 -- TypeDef_wf: $bound(GLOBAL, TC_0) |- controlObjectTypeDefIR
 -- if TC_4 = $add_typeDef_t(GLOBAL, TC_0, nameIR, controlObjectTypeDefIR)
 -- if controlTypeDeclarationIR = annotationList CONTROL nameIR `<typeId_expl* , typeId_impl*> `(parameterIR*) ;
  1. Let TC1 be TC0 with BLOCK.KIND set to CONTROL.

  2. Let context TC2 and type parameters typeIdexpl* be

  3. Let context TC3, parameterIR*, and fresh type variables typeIdimpl* be

  4. Let nameIR be the name of name.

  5. Let controlObjectTypeDefIR be CONTROL nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ).

  6. Let bound be bound type variables from the GLOBAL layer of TC0.

  7. Check that controlObjectTypeDefIR is a well-formed type definition, with bound type variables bound.

  8. Let TC4 be TC0 where nameIR to controlObjectTypeDefIR is added to the GLOBAL layer.

  9. Let controlTypeDeclarationIR be annotationList CONTROL nameIR < typeIdexpl* , typeIdimpl* > ( parameterIR* ) ;.

  10. Result in context TC4 and controlTypeDeclarationIR.

11.19.2. Compile-time evaluation

At compile-time, a control type declaration is loaded into the context with:

Click to view the specification source
rulegroup Decl_inst/controlTypeDeclarationIR:
  rule Decl_inst/controlTypeDeclarationIR:
  IC_0 STO |- annotationList CONTROL nameIR `<typeParameterListIR , typeParameterListIR_inferred> `(parameterIR*) ; : IC_1 STO
 -- if controlObjectTypeDefIR = CONTROL nameIR `<typeParameterListIR , typeParameterListIR_inferred> `(parameterIR*)
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, controlObjectTypeDefIR)
  1. Let controlObjectTypeDefIR be CONTROL nameIR < typeParameterListIR , typeParameterListIRinferred > ( parameterIR* ).

  2. Let IC1 be IC0 where nameIR to controlObjectTypeDefIR is added to the GLOBAL layer.

  3. Result in context IC1 and store STO.

11.20. Package type declaration

A package type declaration introduces a new package type.

packageTypeDeclaration
   : annotationList PACKAGE name typeParameterListOpt `( parameterList ) ;
   ;

See Section 8.5.4 for more details on package object types.

11.20.1. Type checking

After type checking, a package type declaration has the following form:

packageTypeDeclarationIR
   : annotationList PACKAGE nameIR
       `< typeParameterListIR , typeParameterListIR > `( parameterListIR ) ;
   ;
Click to view the specification source
rulegroup Decl_ok/packageTypeDeclaration:
  rule Decl_ok/packageTypeDeclaration:
  TC_0 |- annotationList PACKAGE name typeParameterListOpt `(parameterList) ; : TC_5 packageTypeDeclarationIR
 -- if B = $bound(GLOBAL, TC_0)
 -- if TC_1 = TC_0[BLOCK.KIND = PACKAGE]
 -- TypeParameterListOpt_ok: BLOCK TC_1 |- typeParameterListOpt : TC_2 typeId_expl*
 -- ConstructorParameterListOpt_ok: TC_2 |- `(parameterList) : TC_3 constructorParameterIR* # typeId_impl*
 -- if nameIR = $name(name)
 -- (if (_ _ typeIR_package_inner _ _ = constructorParameterIR))*
 -- if packageObjectTypeDefIR = PACKAGE nameIR `<typeId_expl* , typeId_impl*> `{typeIR_package_inner*}
 -- TypeDef_wf: B |- packageObjectTypeDefIR
 -- if TC_4 = $add_typeDef_t(GLOBAL, TC_0, nameIR, packageObjectTypeDefIR)
 -- if constructorId = $constructorId(name, `(parameterList))
 -- if typeIR_package = $typeIR_of_typeDefIR(packageObjectTypeDefIR)
 -- if constructorTypeDefIR = CONSTRUCTOR `<typeId_expl* , typeId_impl*> `(constructorParameterIR*) : typeIR_package
 -- ConstructorTypeDef_wf: B |- constructorTypeDefIR
 -- if TC_5 = $add_constructorDef_t(TC_4, constructorId, constructorTypeDefIR)
 -- if packageTypeDeclarationIR = annotationList PACKAGE nameIR `<typeId_expl* , typeId_impl*> `(constructorParameterIR*) ;
  1. Let B be bound type variables from the GLOBAL layer of TC0.

  2. Let TC1 be TC0 with BLOCK.KIND set to PACKAGE.

  3. Let context TC2 and type parameters typeIdexpl* be

  4. Let context TC3, constructorParameterIR*, and fresh type variables typeIdimpl* be

  5. Let nameIR be the name of name.

  6. Let typeIRpackage_inner* be the list obtained by repeating:

    • Let typeIRpackage_inner be the type of constructorParameterIR.

    for each constructorParameterIR in constructorParameterIR*

  7. Let packageObjectTypeDefIR be PACKAGE nameIR < typeIdexpl* , typeIdimpl* > { typeIRpackage_inner* }.

  8. Check that packageObjectTypeDefIR is a well-formed type definition, with bound type variables B.

  9. Let TC4 be TC0 where nameIR to packageObjectTypeDefIR is added to the GLOBAL layer.

  10. Let constructorId be the constructor identifier for name ( parameterList ).

  11. Let typeIRpackage be the underlying type of packageObjectTypeDefIR.

  12. Let constructorTypeDefIR be CONSTRUCTOR < typeIdexpl* , typeIdimpl* > ( constructorParameterIR* ) : typeIRpackage.

  13. Check that constructorTypeDefIR is a well-formed constructor type definition, with bound type variables B.

  14. Let TC5 be where constructorId to constructorTypeDefIR is added to TC4.

  15. Let packageTypeDeclarationIR be annotationList PACKAGE nameIR < typeIdexpl* , typeIdimpl* > ( constructorParameterIR* ) ;.

  16. Result in context TC5 and packageTypeDeclarationIR.

11.20.2. Compile-time evaluation

At compile-time, a package type declaration is loaded into the context with:

Click to view the specification source
rulegroup Decl_inst/packageTypeDeclarationIR:
  rule Decl_inst/packageTypeDeclarationIR:
  IC_0 STO |- annotationList PACKAGE nameIR `<typeParameterListIR , typeParameterListIR_inferred> `(parameterIR*) ; : IC_2 STO
 -- (if (_ _ typeIR _ _ = parameterIR))*
 -- if packageObjectTypeDefIR = PACKAGE nameIR `<typeParameterListIR , typeParameterListIR_inferred> `{typeIR*}
 -- if IC_1 = $add_typeDef_i(GLOBAL, IC_0, nameIR, packageObjectTypeDefIR)
 -- if callableId = $callableId_IR(nameIR, parameterIR*)
 -- if constructorDef = PACKAGE `<typeParameterListIR ++ typeParameterListIR_inferred> `(parameterIR*)
 -- if IC_2 = $add_constructorDef_i(IC_1, callableId, constructorDef)
  1. Let typeIR* be the list obtained by repeating:

    • Let typeIR be the type of parameterIR.

    for each parameterIR in parameterIR*

  2. Let packageObjectTypeDefIR be PACKAGE nameIR < typeParameterListIR , typeParameterListIRinferred > { typeIR* }.

  3. Let IC1 be IC0 where nameIR to packageObjectTypeDefIR is added to the GLOBAL layer.

  4. Let callableId be the callable identifier for nameIR ( parameterIR* ).

  5. Let constructorDef be PACKAGE < typeParameterListIR ++ typeParameterListIRinferred > ( parameterIR* ).

  6. Let IC2 be where callableId to constructorDef is added to IC1.

  7. Result in context IC2 and store STO.

12. L-values

L-values are expressions that may appear on the left side of an assignment operation or as arguments corresponding to out and inout function parameters. An l-value represents a storage reference. The following expressions are legal l-values:

lvalue
   : referenceExpression
   | lvalue . member
   | lvalue `[ expression ]
   | lvalue `[ expression : expression ]
   | `( lvalue )
   ;
  • Identifiers of a base or derived type.

  • Structure, header, and header union field member access operations (using the dot notation).

  • References to elements within header stacks (see Section 8.4.3): indexing, and references to last and next.

  • The result of a bit-slice operator [m:l].

The following is a legal l-value: headers.stack[4].field. Note that method and function calls cannot return l-values.

12.1. Semantics of l-values

12.1.1. Type checking

After type checking, l-values are represented in P4IR as:

typedLvalueIR
   : lvalueIR # lvalueNoteIR
   ;

lvalueIR
   : referenceExpressionIR
   | typedLvalueIR . nameIR
   | typedLvalueIR `[ typedExpressionIR ]
   | typedLvalueIR `[ typedExpressionIR : typedExpressionIR ]
   | `( typedLvalueIR )
   ;

lvalueNoteIR
   : `( typeIR )
   ;

Notice that l-values in P4IR carry type information. L-values are type checked according to the relation:

Click to view the specification source
relation Lvalue_ok: cursor typingContext |- lvalue : typedLvalueIR

The following helper functions are used to fetch the type of a typed l-value:

Click to view the specification source
def $type_of_typedLvalueIR(typedLvalueIR) = typeIR
 -- if _ # `(typeIR) = typedLvalueIR
  1. Let ( typeIR ) be the note of typedLvalueIR.

  2. Return typeIR.

12.1.2. Runtime evaluation

At runtime, l-values are represented as storage references:

storageReference
   : referenceExpressionIR
   | storageReference . nameIR
   | storageReference `[ value ]
   | storageReference `[ value : value ]
   ;
12.1.2.1. Creation

The following relation evaluates an l-value to a storage reference:

Click to view the specification source
relation Lvalue_eval: cursor evalContext arch |- typedLvalueIR : evalContext arch storageReferenceResult

The result of evaluating an l-value is:

storageReferenceResult
   : continueResult<storageReference?>
   | abortResult
   ;

continueResult<X>
   : ` X
   ;

abortResult
   : exitResult
   | rejectTransitionResult
   ;
12.1.2.2. Read

The following relation reads a value from a storage reference:

Click to view the specification source
relation Lvalue_read: cursor evalContext arch |- storageReference : value
12.1.2.3. Write

The following relation writes a value to a storage reference:

Click to view the specification source
relation Lvalue_write: cursor evalContext arch |- storageReference -> value : evalContext

The subsequent sections describe each kind of l-value in detail.

12.2. Identifiers

12.2.1. Type checking

Click to view the specification source
rulegroup Lvalue_ok/referenceExpression:
  rule Lvalue_ok/referenceExpression:
  p TC |- prefixedNonTypeName : prefixedNameIR # `(typeIR)
 -- if prefixedNameIR = $prefixedNonTypeName(prefixedNonTypeName)
 -- if direction typeIR DYN eps = $find_var_t(prefixedNameIR, p, TC)
 -- if direction = OUT \/ direction = INOUT
  1. Let prefixedNameIR be the prefixed name of prefixedNonTypeName.

  2. Let direction typeIR ctk value? be ! the type of variable prefixedNameIR from the p layer of TC.

  3. Check that ctk is DYN.

  4. Check that value? is none.

  5. Check that direction is equal to OUT or direction is equal to INOUT.

  6. Result in prefixedNameIR with note ( typeIR ).

12.2.2. Creation

Click to view the specification source
rulegroup Lvalue_eval/referenceExpressionIR:
  rule Lvalue_eval/referenceExpressionIR:
  p EC ARCH |- referenceExpressionIR # _ : EC ARCH (` referenceExpressionIR)
  1. Result in context EC, state ARCH, and result referenceExpressionIR.

12.2.3. Read

Click to view the specification source
rulegroup Lvalue_read/referenceExpressionIR:
  rule Lvalue_read/referenceExpressionIR:
  p EC ARCH |- prefixedNameIR : value
 -- if value = $find_var_e(prefixedNameIR, p, EC)

12.2.4. Write

Click to view the specification source
rulegroup Lvalue_write/referenceExpressionIR:
  rule Lvalue_write/referenceExpressionIR:
  p EC_0 ARCH |- prefixedNameIR -> value : EC_1
 -- if EC_1 = $update_var_e(p, EC_0, prefixedNameIR, value)

12.3. Member accesses

12.3.1. Type checking

Click to view the specification source
rulegroup Lvalue_ok/memberAccess:
  rule Lvalue_ok/headerStackTypeIR-next-last:
  p TC |- lvalue_base . member : typedLvalueIR
 -- Lvalue_ok: p TC |- lvalue_base : typedLvalueIR_base
 -- if _ # `(typeIR_base) = typedLvalueIR_base
 -- if typeIR `[_] = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if nameIR = "next" \/ nameIR = "last"
 -- if (p = BLOCK /\ TC.BLOCK.KIND = PARSER) \/ (p = LOCAL /\ TC.LOCAL.KIND = PARSER_STATE)
 -- if typedLvalueIR = (typedLvalueIR_base . nameIR) # `(typeIR)
  rule Lvalue_ok/structTypeIR:
  p TC |- lvalue_base . member : typedLvalueIR
 -- Lvalue_ok: p TC |- lvalue_base : typedLvalueIR_base
 -- if _ # `(typeIR_base) = typedLvalueIR_base
 -- if STRUCT _ `<_> `{(_ typeIR_field nameIR_field ;)*} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if typeIR = $assoc_<nameIR, typeIR>(nameIR, (nameIR_field, typeIR_field)*)
 -- if typedLvalueIR = (typedLvalueIR_base . nameIR) # `(typeIR)
  rule Lvalue_ok/headerTypeIR:
  p TC |- lvalue_base . member : typedLvalueIR
 -- Lvalue_ok: p TC |- lvalue_base : typedLvalueIR_base
 -- if _ # `(typeIR_base) = typedLvalueIR_base
 -- if HEADER _ `<_> `{(_ typeIR_field nameIR_field ;)*} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if typeIR = $assoc_<nameIR, typeIR>(nameIR, (nameIR_field, typeIR_field)*)
 -- if typedLvalueIR = (typedLvalueIR_base . nameIR) # `(typeIR)
  rule Lvalue_ok/headerUnionTypeIR:
  p TC |- lvalue_base . member : typedLvalueIR
 -- Lvalue_ok: p TC |- lvalue_base : typedLvalueIR_base
 -- if _ # `(typeIR_base) = typedLvalueIR_base
 -- if HEADER_UNION _ `<_> `{(_ typeIR_field nameIR_field ;)*} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if typeIR = $assoc_<nameIR, typeIR>(nameIR, (nameIR_field, typeIR_field)*)
 -- if typedLvalueIR = (typedLvalueIR_base . nameIR) # `(typeIR)
  1. Let typedLvalueIRbase be

  2. Let ( typeIRbase ) be the note of typedLvalueIRbase.

  3. Let typeIR be typeIRbase with typedefs unrolled.

  4. If let typeIR' [ _ ] be typeIR:

    1. Let nameIR be the name of member.

    2. Check that nameIR is equal to "next" or nameIR is equal to "last".

    3. Check that p is equal to BLOCK and TC.BLOCK.KIND is equal to PARSER or p is equal to LOCAL and TC.LOCAL.KIND is equal to PARSER_STATE.

    4. Let typedLvalueIR be typedLvalueIRbase . nameIR with note ( typeIR' ).

    5. Result in typedLvalueIR.

  5. Else if let STRUCT _ < _* > { ( _ typeIRfield nameIRfield ; )* } be typeIR:

  6. Else if let HEADER _ < _* > { ( _ typeIRfield nameIRfield ; )* } be typeIR:

  7. Else if let HEADER_UNION _ < _* > { ( _ typeIRfield nameIRfield ; )* } be typeIR:

12.3.2. Creation

Click to view the specification source
rulegroup Lvalue_eval/memberAccess:
  rule Lvalue_eval/abort:
  p EC_0 ARCH_0 |- (typedLvalueIR . nameIR) # _ : EC_1 ARCH_1 abortResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 abortResult
  rule Lvalue_eval/stack-next-out-of-bounds:
  p EC_0 ARCH_0 |- (typedLvalueIR . nameIR) # _ : EC_1 ARCH_1 rejectTransitionResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Lvalue_read: p EC_1 ARCH_1 |- storageReference : headerStackValue
 -- if HEADER_STACK `[value_element* `(n_idx ; n_size)] = headerStackValue
 -- if nameIR = "next"
 -- if n_idx >= n_size
 -- if rejectTransitionResult = REJECT (ERROR . "StackOutOfBounds")
  rule Lvalue_eval/stack-next-in-bounds:
  p EC_0 ARCH_0 |- (typedLvalueIR . nameIR) # _ : EC_1 ARCH_1 storageReferenceResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Lvalue_read: p EC_1 ARCH_1 |- storageReference : headerStackValue
 -- if HEADER_STACK `[value_element* `(n_idx ; n_size)] = headerStackValue
 -- if nameIR = "next"
 -- if n_idx < n_size
 -- if storageReferenceResult = ` (storageReference . nameIR)
  rule Lvalue_eval/cont:
  p EC_0 ARCH_0 |- (typedLvalueIR . nameIR) # _ : EC_1 ARCH_1 storageReferenceResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Lvalue_read: p EC_1 ARCH_1 |- storageReference : value
 -- if ~(value <: headerStackValue)
 -- if storageReferenceResult = ` (storageReference . nameIR)
  1. Let context EC1, state ARCH1, and result storageReferenceResult be

  2. If let abortResult be storageReferenceResult:

    1. Result in context EC1, state ARCH1, and result abortResult.

  3. Else:

    1. Let storageReference? be storageReferenceResult.

    2. Check that storageReference? is defined.

    3. Let storageReference' be storageReference?.

    4. Let value value be

    5. If let headerStackValue be value:

      1. Let HEADER_STACK [ valueelement* ( nidx ; nsize ) ] be headerStackValue.

      2. Check that nameIR is equal to "next".

      3. If nidx is greater than or equal to nsize:

        1. Let rejectTransitionResult be REJECT ERROR . "StackOutOfBounds".

        2. Result in context EC1, state ARCH1, and result rejectTransitionResult.

      4. If nidx is less than nsize:

        1. Let storageReferenceResult' be storageReference' . nameIR.

        2. Result in context EC1, state ARCH1, and result storageReferenceResult'.

    6. Else:

      1. Let storageReferenceResult' be storageReference' . nameIR.

      2. Result in context EC1, state ARCH1, and result storageReferenceResult'.

12.3.3. Read

Click to view the specification source
rulegroup Lvalue_read/memberAccess:
  rule Lvalue_read/package:
  p EC_0 ARCH |- storageReference . nameIR : value
 -- Lvalue_read: p EC_0 ARCH |- storageReference : value_base
 -- if REF objectId = value_base
 -- if PACKAGE `<_> `{frame} = $find_object_e(ARCH, objectId)
 -- if value = $find_map<nameIR, value>(frame, nameIR)
  rule Lvalue_read/stack-next:
  p EC_0 ARCH |- storageReference . nameIR : value
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerStackValue_base
 -- if HEADER_STACK `[value_element* `(n_idx ; n_size)] = headerStackValue_base
 -- if nameIR = "next"
 -- if n_idx < n_size
 -- if value = value_element*[n_idx]
  rule Lvalue_read/struct:
  p EC_0 ARCH |- storageReference . nameIR : value
 -- Lvalue_read: p EC_0 ARCH |- storageReference : structValue_base
 -- if STRUCT _ `{(value_field nameIR_field ;)*} = structValue_base
 -- if value = $assoc_<id, value>(nameIR, (nameIR_field, value_field)*)
  rule Lvalue_read/header:
  p EC_0 ARCH |- storageReference . nameIR : value
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerValue_base
 -- if HEADER _ `{_ ; (value_field nameIR_field ;)*} = headerValue_base
 -- if value = $assoc_<id, value>(nameIR, (nameIR_field, value_field)*)
  rule Lvalue_read/header-union:
  p EC_0 ARCH |- storageReference . nameIR : value
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerUnionValue_base
 -- if HEADER_UNION _ `{(value_field nameIR_field ;)*} = headerUnionValue_base
 -- if value = $assoc_<id, value>(nameIR, (nameIR_field, value_field)*)
  1. Let value valuebase be

  2. If let REF objectId be valuebase:

    1. Let object' be ! the object objectId in ARCH.

    2. Check that object' has type packageObject.

    3. Let PACKAGE < _ > { frame } be object'.

    4. Let value' be ! the value of nameIR in map frame.

    5. Result in value value'.

  3. Else if let headerStackValuebase be valuebase:

    1. Let HEADER_STACK [ valueelement* ( nidx ; nsize ) ] be headerStackValuebase.

    2. Check that nameIR is equal to "next".

    3. Check that nidx is less than nsize.

    4. Let value be valueelement*[nidx].

    5. Result in value value.

  4. Else if let structValuebase be valuebase:

    1. Let STRUCT _ { ( valuefield nameIRfield ; )* } be structValuebase.

    2. Let value' be ! the value associated to nameIR in ( nameIRfield, valuefield )*.

    3. Result in value value'.

  5. Else if let headerValuebase be valuebase:

    1. Let HEADER _ { _ ; ( valuefield nameIRfield ; )* } be headerValuebase.

    2. Let value' be ! the value associated to nameIR in ( nameIRfield, valuefield )*.

    3. Result in value value'.

  6. Else if let headerUnionValuebase be valuebase:

    1. Let HEADER_UNION _ { ( valuefield nameIRfield ; )* } be headerUnionValuebase.

    2. Let value' be ! the value associated to nameIR in ( nameIRfield, valuefield )*.

    3. Result in value value'.

12.3.4. Write

Click to view the specification source
rulegroup Lvalue_write/memberAccess:
  rule Lvalue_write/stack-next:
  p EC_0 ARCH |- (storageReference . nameIR) -> value : EC_1
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerStackValue_base
 -- if HEADER_STACK `[value_element* `(n_idx ; n_size)] = headerStackValue_base
 -- if nameIR = "next"
 -- if value_element_update* = value_element*[[n_idx] = value]
 -- if headerStackValue_base_update = HEADER_STACK `[value_element_update* `(n_idx + 1 ; n_size)]
 -- Lvalue_write: p EC_0 ARCH |- storageReference -> headerStackValue_base_update : EC_1
  rule Lvalue_write/struct:
  p EC_0 ARCH |- (storageReference . nameIR) -> value : EC_1
 -- Lvalue_read: p EC_0 ARCH |- storageReference : structValue_base
 -- if STRUCT typeId `{fieldValue*} = structValue_base
 -- if fieldValue_update* = $update_fieldValue(fieldValue*, nameIR, value)
 -- if structValue_base_update = STRUCT typeId `{fieldValue_update*}
 -- Lvalue_write: p EC_0 ARCH |- storageReference -> structValue_base_update : EC_1
  rule Lvalue_write/header:
  p EC_0 ARCH |- (storageReference . nameIR) -> value : EC_1
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerValue_base
 -- if HEADER typeId `{b_valid ; fieldValue*} = headerValue_base
 -- if fieldValue_update* = $update_fieldValue(fieldValue*, nameIR, value)
 -- if headerValue_base_update = HEADER typeId `{b_valid ; fieldValue_update*}
 -- Lvalue_write: p EC_0 ARCH |- storageReference -> headerValue_base_update : EC_1
  rule Lvalue_write/header-union-keep-valid-header:
  p EC_0 ARCH |- (storageReference . nameIR) -> value : EC_1
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerUnionValue_base
 -- if HEADER_UNION typeId `{fieldValue*} = headerUnionValue_base
 -- if (value_field nameIR_field ;)* = fieldValue*
 -- if value_old = $assoc_<nameIR, value>(nameIR, (nameIR_field, value_field)*)
 -- if HEADER _ `{b_valid_old ; _} = value_old
 -- if fieldValue_update* = $update_fieldValue(fieldValue*, nameIR, value)
 -- if HEADER _ `{b_valid_new ; _} = value
 -- if b_toggled = ((~b_valid_old /\ b_valid_new) \/ (b_valid_old /\ ~b_valid_new))
 -- if ~b_toggled
 -- if headerUnionValue_base_update = HEADER_UNION typeId `{fieldValue_update*}
 -- Lvalue_write: p EC_0 ARCH |- storageReference -> headerUnionValue_base_update : EC_1
  rule Lvalue_write/header-union-replace-valid-header:
  p EC_0 ARCH |- (storageReference . nameIR) -> value : EC_1
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerUnionValue_base
 -- if HEADER_UNION typeId `{fieldValue*} = headerUnionValue_base
 -- if (value_field nameIR_field ;)* = fieldValue*
 -- if value_old = $assoc_<nameIR, value>(nameIR, (nameIR_field, value_field)*)
 -- if HEADER _ `{b_valid_old ; _} = value_old
 -- if fieldValue_update* = $update_fieldValue(fieldValue*, nameIR, value)
 -- if HEADER _ `{b_valid_new ; _} = value
 -- if b_toggled = ((~b_valid_old /\ b_valid_new) \/ (b_valid_old /\ ~b_valid_new))
 -- if b_toggled
 -- if fieldValue_update'* = $update_headerUnion(fieldValue_update*, nameIR)
 -- if headerUnionValue_base_update = HEADER_UNION typeId `{fieldValue_update'*}
 -- Lvalue_write: p EC_0 ARCH |- storageReference -> headerUnionValue_base_update : EC_1
  1. Let value value' be

  2. If let headerStackValuebase be value':

    1. Let HEADER_STACK [ valueelement* ( nidx ; nsize ) ] be headerStackValuebase.

    2. Check that nameIR is equal to "next".

    3. Let valueelement_update* be valueelement* with [nidx] set to value.

    4. Let headerStackValuebase_update be HEADER_STACK [ valueelement_update* ( nidx `` ``1`` ``;+ nsize ) ].

    5. Let context EC1 be

    6. Result in context EC1.

  3. Else if let structValuebase be value':

    1. Let STRUCT typeId { fieldValue* } be structValuebase.

    2. Let fieldValueupdate* be $update_fieldValue(fieldValue*, nameIR, value).

    3. Let structValuebase_update be STRUCT typeId { fieldValueupdate* }.

    4. Let context EC1 be

    5. Result in context EC1.

  4. Else if let headerValuebase be value':

    1. Let HEADER typeId { bvalid ; fieldValue* } be headerValuebase.

    2. Let fieldValueupdate* be $update_fieldValue(fieldValue*, nameIR, value).

    3. Let headerValuebase_update be HEADER typeId { bvalid ; fieldValueupdate* }.

    4. Let context EC1 be

    5. Result in context EC1.

  5. Else if let headerUnionValuebase be value':

    1. Let HEADER_UNION typeId { fieldValue* } be headerUnionValuebase.

    2. Let ( valuefield nameIRfield ; )* be fieldValue*.

    3. Let valueold be ! the value associated to nameIR in ( nameIRfield, valuefield )*.

    4. Check that valueold has type headerValue.

    5. Let HEADER _ { bvalid_old ; _* } be valueold.

    6. Let fieldValueupdate* be $update_fieldValue(fieldValue*, nameIR, value).

    7. Check that value has type headerValue.

    8. Let HEADER _ { bvalid_new ; _* } be value.

    9. Let btoggled be bvalid_old~ and bvalid_new or bvalid_old and bvalid_new~.

    10. If btoggled~:

      1. Let headerUnionValuebase_update be HEADER_UNION typeId { fieldValueupdate* }.

      2. Let context EC1 be

      3. Result in context EC1.

    11. Else:

      1. Let fieldValueupdate'* be $update_headerUnion(fieldValueupdate*, nameIR).

      2. Let headerUnionValuebase_update be HEADER_UNION typeId { fieldValueupdate'* }.

      3. Let context EC1 be

      4. Result in context EC1.

12.4. Index accesses

12.4.1. Type checking

Click to view the specification source
rulegroup Lvalue_ok/indexAccess:
  rule Lvalue_ok/lctk:
  p TC |- lvalue_base `[expression_index] : typedLvalueIR
 -- Lvalue_ok: p TC |- lvalue_base : typedLvalueIR_base
 -- if _ # `(typeIR_base) = typedLvalueIR_base
 -- if typeIR `[n_size] = $unroll_typeIR(typeIR_base)
 -- Expr_ok: p TC |- expression_index : typedExpressionIR_index
 -- if _ # `(typeIR_index ctk_index) = typedExpressionIR_index
 -- if typedExpressionIR_index_reduced = $reduce_serenum_unary(typedExpressionIR_index, $compat_array_index)
 -- if ctk_index = LCTK
 -- Expr_eval_lctk: p TC |- typedExpressionIR_index_reduced ~> integerValue_index
 -- if n_index = $nat_of_integerValue(integerValue_index)
 -- if n_index < n_size
 -- if typedLvalueIR = (typedLvalueIR_base `[typedExpressionIR_index_reduced]) # `(typeIR)
  rule Lvalue_ok/non-lctk:
  p TC |- lvalue_base `[expression_index] : typedLvalueIR
 -- Lvalue_ok: p TC |- lvalue_base : typedLvalueIR_base
 -- if _ # `(typeIR_base) = typedLvalueIR_base
 -- if typeIR `[n_size] = $unroll_typeIR(typeIR_base)
 -- Expr_ok: p TC |- expression_index : typedExpressionIR_index
 -- if _ # `(typeIR_index ctk_index) = typedExpressionIR_index
 -- if typedExpressionIR_index_reduced = $reduce_serenum_unary(typedExpressionIR_index, $compat_array_index)
 -- if ctk_index =/= LCTK
 -- if typedLvalueIR = (typedLvalueIR_base `[typedExpressionIR_index_reduced]) # `(typeIR)
  1. Let typedLvalueIRbase be

  2. Let ( typeIRbase ) be the note of typedLvalueIRbase.

  3. Let typeIR be typeIRbase with typedefs unrolled.

  4. Check that typeIR has type headerStackTypeIR.

  5. Let typeIR' [ nsize ] be typeIR.

  6. Let typedExpressionIRindex be

  7. Let a pair of type typeIRindex and compile-time known-ness ctkindex be the note of typedExpressionIRindex.

  8. Let typedExpressionIRindex_reduced be ! the result of reducing serializable enums in typedExpressionIRindex until $compat_array_index is satisfied.

  9. If ctkindex is LCTK:

    1. Let value be

    2. Check that value has type integerValue.

    3. Let integerValueindex be value.

    4. Let nindex be ! the natural number representation of integerValueindex.

    5. Check that nindex is less than nsize.

    6. Let typedLvalueIR be typedLvalueIRbase [ typedExpressionIRindex_reduced ] with note ( typeIR' ).

    7. Result in typedLvalueIR.

  10. Else:

12.4.2. Creation

Click to view the specification source
rulegroup Lvalue_eval/indexAccess:
  rule Lvalue_eval/base-abort:
  p EC_0 ARCH_0 |- (typedLvalueIR `[typedExpressionIR]) # _ : EC_1 ARCH_1 abortResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 abortResult
  rule Lvalue_eval/base-cont-index-abort:
  p EC_0 ARCH_0 |- (typedLvalueIR `[typedExpressionIR]) # _ : EC_2 ARCH_2 abortResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR : EC_2 ARCH_2 abortResult
  rule Lvalue_eval/base-cont-index-cont:
  p EC_0 ARCH_0 |- (typedLvalueIR `[typedExpressionIR]) # _ : EC_2 ARCH_2 storageReferenceResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR : EC_2 ARCH_2 (` integerValue_index)
 -- if storageReferenceResult = ` (storageReference `[integerValue_index])
  1. Let context EC1, state ARCH1, and result storageReferenceResult be

  2. If let abortResult be storageReferenceResult:

    1. Result in context EC1, state ARCH1, and result abortResult.

  3. Else:

    1. Let storageReference? be storageReferenceResult.

    2. Check that storageReference? is defined.

    3. Let storageReference' be storageReference?.

    4. Let context EC2, state ARCH2 and expressionResult be

    5. If let abortResult be expressionResult:

      1. Result in context EC2, state ARCH2, and result abortResult.

    6. Else:

      1. Let value be expressionResult.

      2. Check that value has type integerValue.

      3. Let integerValueindex be value.

      4. Let storageReferenceResult' be storageReference' [ integerValueindex ].

      5. Result in context EC2, state ARCH2, and result storageReferenceResult'.

12.4.3. Read

Click to view the specification source
rulegroup Lvalue_read/indexAccess:
  rule Lvalue_read/stack-in-bounds:
  p EC_0 ARCH |- storageReference `[integerValue_index] : value
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerStackValue_base
 -- if HEADER_STACK `[value_element* `(_ ; n_size)] = headerStackValue_base
 -- if n_idx = $nat_of_integerValue(integerValue_index)
 -- if n_idx < n_size
 -- if value = value_element*[n_idx]
  rule Lvalue_read/stack-out-of-bounds:
  p EC_0 ARCH |- storageReference `[integerValue_index] : value
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerStackValue_base
 -- if HEADER_STACK `[value_element* `(_ ; n_size)] = headerStackValue_base
 -- if n_idx = $nat_of_integerValue(integerValue_index)
 -- if n_idx >= n_size
 -- if HEADER typeId `{b_valid ; fieldValue*} = value_element*[0]
 -- if value = HEADER typeId `{false ; fieldValue*}
  1. Let value value' be

  2. Check that value' has type headerStackValue.

  3. Let headerStackValuebase be value'.

  4. Let HEADER_STACK [ valueelement* ( _ ; nsize ) ] be headerStackValuebase.

  5. Let nidx be ! the natural number representation of integerValueindex.

  6. If nidx is less than nsize:

    1. Let value'' be valueelement*[nidx].

    2. Result in value value''.

  7. If nidx is greater than or equal to nsize:

    1. Let value'' be valueelement*[0].

    2. Check that value'' has type headerValue.

    3. Let HEADER typeId { bvalid ; fieldValue* } be value''.

    4. Let value''' be HEADER typeId { false ; fieldValue* }.

    5. Result in value value'''.

12.4.4. Write

Click to view the specification source
rulegroup Lvalue_write/indexAccess:
  rule Lvalue_write/stack-in-bounds:
  p EC_0 ARCH |- (storageReference `[integerValue_index]) -> value : EC_1
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerStackValue_base
 -- if HEADER_STACK `[value_element* `(n_base_idx ; n_size)] = headerStackValue_base
 -- if n_idx = $nat_of_integerValue(integerValue_index)
 -- if n_idx < n_size
 -- if value_element_update* = value_element*[[n_idx] = value]
 -- if headerStackValue_base_update = HEADER_STACK `[value_element_update* `(n_base_idx ; n_size)]
 -- Lvalue_write: p EC_0 ARCH |- storageReference -> headerStackValue_base_update : EC_1
  rule Lvalue_write/stack-out-of-bounds:
  p EC_0 ARCH |- (storageReference `[integerValue_index]) -> value : EC_0
 -- Lvalue_read: p EC_0 ARCH |- storageReference : headerStackValue_base
 -- if HEADER_STACK `[value_element* `(_ ; n_size)] = headerStackValue_base
 -- if n_idx = $nat_of_integerValue(integerValue_index)
 -- if n_idx >= n_size
  1. Let value value'' be

  2. Check that value'' has type headerStackValue.

  3. Let headerStackValuebase be value''.

  4. Let HEADER_STACK [ valueelement* ( nbase_idx ; nsize ) ] be headerStackValuebase.

  5. Let nidx be ! the natural number representation of integerValueindex.

  6. If nidx is less than nsize:

    1. Let valueelement_update* be valueelement* with [nidx] set to value.

    2. Let headerStackValuebase_update be HEADER_STACK [ valueelement_update* ( nbase_idx ; nsize ) ].

    3. Let context EC1 be

    4. Result in context EC1.

  7. If nidx is greater than or equal to nsize:

    1. Result in context EC0.

12.5. Bit-slice accesses

12.5.1. Type checking

Click to view the specification source
rulegroup Lvalue_ok/sliceAccess:
  rule Lvalue_ok/sliceAccess:
  p TC |- lvalue_base `[expression_hi : expression_lo] : typedLvalueIR
 -- Lvalue_ok: p TC |- lvalue_base : typedLvalueIR_base
 -- if _ # `(typeIR_base) = typedLvalueIR_base
 -- if $compat_bitslice_base(typeIR_base)
 -- Expr_ok: p TC |- expression_hi : typedExpressionIR_hi
 -- Expr_ok: p TC |- expression_lo : typedExpressionIR_lo
 -- if typedExpressionIR_hi_reduced = $reduce_serenum_unary(typedExpressionIR_hi, $compat_bitslice_index)
 -- if typedExpressionIR_lo_reduced = $reduce_serenum_unary(typedExpressionIR_lo, $compat_bitslice_index)
 -- if _ # `(typeIR_hi_reduced ctk_hi_reduced) = typedExpressionIR_hi_reduced
 -- if _ # `(typeIR_lo_reduced ctk_lo_reduced) = typedExpressionIR_lo_reduced
 -- if ctk_hi_reduced = LCTK
 -- Expr_eval_lctk: p TC |- typedExpressionIR_hi_reduced ~> integerValue_hi
 -- if n_hi = $nat_of_integerValue(integerValue_hi)
 -- if ctk_lo_reduced = LCTK
 -- Expr_eval_lctk: p TC |- typedExpressionIR_lo_reduced ~> integerValue_lo
 -- if n_lo = $nat_of_integerValue(integerValue_lo)
 -- if $is_valid_bitslice(typeIR_base, n_lo, n_hi)
 -- if n_slice = n_hi - n_lo + 1
 -- if typeIR = BIT `<n_slice>
 -- if typedLvalueIR = (typedLvalueIR_base `[typedExpressionIR_hi_reduced : typedExpressionIR_lo_reduced]) # `(typeIR)
  1. Let typedLvalueIRbase be

  2. Let ( typeIRbase ) be the note of typedLvalueIRbase.

  3. Check that typeIRbase can be used as a bitslice base.

  4. Let typedExpressionIRhi be

  5. Let typedExpressionIRlo be

  6. Let typedExpressionIRhi_reduced be ! the result of reducing serializable enums in typedExpressionIRhi until $compat_bitslice_index is satisfied.

  7. Let typedExpressionIRlo_reduced be ! the result of reducing serializable enums in typedExpressionIRlo until $compat_bitslice_index is satisfied.

  8. Let a pair of type typeIRhi_reduced and compile-time known-ness ctkhi_reduced be the note of typedExpressionIRhi_reduced.

  9. Let a pair of type typeIRlo_reduced and compile-time known-ness ctklo_reduced be the note of typedExpressionIRlo_reduced.

  10. Check that ctkhi_reduced is LCTK.

  11. Let value be

  12. Check that value has type integerValue.

  13. Let integerValuehi be value.

  14. Let nhi be ! the natural number representation of integerValuehi.

  15. Check that ctklo_reduced is LCTK.

  16. Let value' be

  17. Check that value' has type integerValue.

  18. Let integerValuelo be value'.

  19. Let nlo be ! the natural number representation of integerValuelo.

  20. Check that typeIRbase [ nlo : nhi ] is a valid bitslice.

  21. Let int be nhi - nlo + 1.

  22. Check that int has type nat.

  23. Let nslice be int.

  24. Let typeIR be BIT < nslice >.

  25. Let typedLvalueIR be typedLvalueIRbase [ typedExpressionIRhi_reduced : typedExpressionIRlo_reduced ] with note ( typeIR ).

  26. Result in typedLvalueIR.

12.5.2. Creation

Click to view the specification source
rulegroup Lvalue_eval/sliceAccess:
  rule Lvalue_eval/abort:
  p EC_0 ARCH_0 |- (typedLvalueIR `[typedExpressionIR_hi : typedExpressionIR_lo]) # _ : EC_1 ARCH_1 abortResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 abortResult
  rule Lvalue_eval/cont-abort:
  p EC_0 ARCH_0 |- (typedLvalueIR `[typedExpressionIR_hi : typedExpressionIR_lo]) # _ : EC_2 ARCH_2 abortResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Exprs_eval: p EC_1 ARCH_1 |- [typedExpressionIR_hi, typedExpressionIR_lo] : EC_2 ARCH_2 abortResult
  rule Lvalue_eval/cont:
  p EC_0 ARCH_0 |- (typedLvalueIR `[typedExpressionIR_hi : typedExpressionIR_lo]) # _ : EC_1 ARCH_1 storageReferenceResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Exprs_eval: p EC_1 ARCH_1 |- [typedExpressionIR_hi, typedExpressionIR_lo] : EC_2 ARCH_2 (` ([value_hi, value_lo]))
 -- if storageReferenceResult = ` (storageReference `[value_hi : value_lo])
  1. Let context EC1, state ARCH1, and result storageReferenceResult be

  2. If let abortResult be storageReferenceResult:

    1. Result in context EC1, state ARCH1, and result abortResult.

  3. Else:

    1. Let storageReference? be storageReferenceResult.

    2. Check that storageReference? is defined.

    3. Let storageReference' be storageReference?.

    4. Let context EC2, state ARCH2 and expressionListResult be

    5. If let abortResult be expressionListResult:

      1. Result in context EC2, state ARCH2, and result abortResult.

    6. Else:

      1. Let value* be expressionListResult.

      2. Check that value* is a list of length 2.

      3. Let [ valuehi, valuelo ] be value*.

      4. Let storageReferenceResult' be storageReference' [ valuehi : valuelo ].

      5. Result in context EC1, state ARCH1, and result storageReferenceResult'.

12.5.3. Read

Click to view the specification source
rulegroup Lvalue_read/sliceAccess:
  rule Lvalue_read/sliceAccess:
  p EC_0 ARCH |- (storageReference `[value_hi : value_lo]) : value
 -- Lvalue_read: p EC_0 ARCH |- storageReference : value_base
 -- if value = $bitacc_op(value_base, value_hi, value_lo)

12.5.4. Write

Click to view the specification source
rulegroup Lvalue_write/sliceAccess:
  rule Lvalue_write/sliceAccess:
  p EC_0 ARCH |- (storageReference `[value_hi : value_lo]) -> value : EC_1
 -- Lvalue_read: p EC_0 ARCH |- storageReference : value_base
 -- if value_base_update = $bitacc_replace_op(value_base, value_hi, value_lo, value)
 -- Lvalue_write: p EC_0 ARCH |- storageReference -> value_base_update : EC_1

12.6. Parenthesized l-values

12.6.1. Type checking

Click to view the specification source
rulegroup Lvalue_ok/parenthesized:
  rule Lvalue_ok/parenthesized:
  p TC |- `(lvalue_base) : typedLvalueIR
 -- Lvalue_ok: p TC |- lvalue_base : typedLvalueIR_base
 -- if _ # `(typeIR_base) = typedLvalueIR_base
 -- if typedLvalueIR = (`(typedLvalueIR_base)) # `(typeIR_base)
  1. Let typedLvalueIRbase be

  2. Let ( typeIRbase ) be the note of typedLvalueIRbase.

  3. Let typedLvalueIR be ( typedLvalueIRbase ) with note ( typeIRbase ).

  4. Result in typedLvalueIR.

12.6.2. Creation

Click to view the specification source
rulegroup Lvalue_eval/parenthesized:
  rule Lvalue_eval/parenthesized:
  p EC_0 ARCH_0 |- (`(typedLvalueIR)) # _ : EC_1 ARCH_1 storageReferenceResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 storageReferenceResult
  1. Let context EC1, state ARCH1, and result storageReferenceResult be

  2. Result in context EC1, state ARCH1, and result storageReferenceResult.

13. Statements

The syntax of statements is defined as follows:

statement
   : emptyStatement
   | assignmentStatement
   | callStatement
   | directApplicationStatement
   | returnStatement
   | exitStatement
   | blockStatement
   | conditionalStatement
   | forStatement
   | breakStatement
   | continueStatement
   | switchStatement
   ;

13.1. Semantics of statements

13.1.1. Type checking

Click to view the specification source
relation Stmt_ok: cursor typingContext flow loopctxt |- statement : typingContext flow statementIR

After type checking, statements are represented in P4IR as follows:

statementIR
   : emptyStatementIR
   | assignmentStatementIR
   | callStatementIR
   | directApplicationStatementIR
   | returnStatementIR
   | exitStatementIR
   | blockStatementIR
   | conditionalStatementIR
   | forStatementIR
   | breakStatementIR
   | continueStatementIR
   | switchStatementIR
   ;

In order to statically determine the control flow of a P4 program (e.g., whether a function body always returns), the following indicator for abstract control flow is used:

flow
   : CONT
   | RET
   ;

As a marker of whether a statement is nested inside a loop, the following indicator is used:

loopctxt
   : LOOP
   | NOLOOP
   ;

13.1.2. Compile-time evaluation

Click to view the specification source
relation Stmt_inst: cursor instContext store |- statementIR : instContext store statementIR

Instantiations nested within statements are processed according to the above relation.

13.1.3. Runtime evaluation

Click to view the specification source
relation Stmt_eval: cursor evalContext arch |- statementIR : evalContext arch statementResult

The result of evaluating a statement is represented as follows:

statementResult
   : continueEmptyResult
   | callResult
   | forResult
   ;

continueEmptyResult
   : /* empty */
   ;

The following is the result of evaluating a call statement:

callResult
   : abortResult
   | returnResult
   ;

abortResult
   : exitResult
   | rejectTransitionResult
   ;

returnResult
   : RETURN value?
   ;

exitResult
   : EXIT
   ;

rejectTransitionResult
   : REJECT errorValue
   ;

The following is the result of evaluating a for statement:

forResult
   : forBreakResult
   | forContinueResult
   ;

forBreakResult
   : BREAK
   ;

forContinueResult
   : CONTINUE
   ;

The subsequent sections describe each kind of statement in detail.

13.2. Empty statements

The empty statement, written ; is a no-op.

emptyStatement
   : ;
   ;

13.2.1. Type checking

After type checking, an empty statement is represented as:

emptyStatementIR = emptyStatement
Click to view the specification source
rulegroup Stmt_ok/emptyStatement:
  rule Stmt_ok/emptyStatement:
  p TC f l |- ; : TC f ;
  1. Result in context TC, abstract control flow f, and ;.

13.2.2. Compile-time evaluation

Click to view the specification source
rulegroup Stmt_inst/emptyStatementIR:
  rule Stmt_inst/emptyStatementIR:
  p IC STO |- emptyStatementIR : IC STO emptyStatementIR
  1. Result in context IC, store STO, and emptyStatementIR.

13.2.3. Runtime evaluation

Click to view the specification source
rulegroup Stmt_eval/emptyStatementIR:
  rule Stmt_eval/emptyStatementIR:
  p EC ARCH |- ; : EC ARCH `EMPTY
  1. Result in context EC, state ARCH, and `EMPTY.

13.3. Assignment statements

assignop
   : =
   | +=
   | -=
   | |+|=
   | |-|=
   | *=
   | /=
   | %=
   | <<=
   | >>=
   | &=
   | ^=
   | |=
   ;

assignmentStatement
   : lvalue assignop expression ;
   ;

An assignment, written with the = sign, first evaluates its left sub-expression to an l-value, then evaluates its right sub-expression to a value, and finally copies the value into the l-value. Derived types (e.g. structs) are copied recursively, and all components of headers are copied, including validity bits. Assignment is not defined for extern values.

An assignment may also be written with a binary arithmetic or bit manipulation operator immediately before the = sign. This performs the binary operator on the old value of the left sub-expression and the right sub-expression and assigns the result to the l-value. Thus an assignment like A += B is equivalent to A = A + B, except that A is only evaluated once. This means that any side-effects within this operand (eg, a function call inside an array index or slice expression) only occur once. This is not valid for comparison operators, logical operators, concat, range, or mask operators.

13.3.1. Type checking

After type checking, an assignment statement has the form:

assignmentStatementIR
   : typedLvalueIR assignop typedExpressionIR ;
   ;
Click to view the specification source
rulegroup Stmt_ok/assignmentStatement:
  rule Stmt_ok/eq:
  p TC f l |- lvalue = expression ; : TC f (typedLvalueIR = typedExpressionIR_cast ;)
 -- Lvalue_ok: p TC |- lvalue : typedLvalueIR
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if typeIR_l = $type_of_typedLvalueIR(typedLvalueIR)
 -- if typeIR_r = $type_of_typedExpressionIR(typedExpressionIR)
 -- if typedExpressionIR_cast = $cast_unary(typedExpressionIR, typeIR_l)
  rule Stmt_ok/compound:
  p TC f l |- lvalue assignop expression ; : TC f (typedLvalueIR assignop typedExpressionIR_cast ;)
 -- if assignop =/= =
 -- if binop = $assignop_as_binop(assignop)
 -- Lvalue_ok: p TC |- lvalue : typedLvalueIR
 -- if expression_lvalue = $lvalue_as_expression(lvalue)
 -- if expression_binary = expression_lvalue binop expression
 -- Expr_ok: p TC |- expression_binary : typedExpressionIR_binary
 -- if _ # `(typeIR_lvalue) = typedLvalueIR
 -- if (_ binop typedExpressionIR_cast) # _ = $cast_unary(typedExpressionIR_binary, typeIR_lvalue)
  1. If assignop is =:

    1. Let typedLvalueIR be

    2. Let typedExpressionIR be

    3. Let typeIRl be the type of lvalue typedLvalueIR.

    4. Let typeIRr be the type of typedExpressionIR.

    5. Let typedExpressionIRcast be ! typedExpressionIR implicitly cast to typeIRl.

    6. Result in context TC, abstract control flow f, and typedLvalueIR = typedExpressionIRcast ;.

  2. Else:

    1. Let binop' be ! the binary operator corresponding to assignop.

    2. Let typedLvalueIR be

    3. Let expressionlvalue be the expression corresponding to lvalue.

    4. Let expressionbinary be expressionlvalue binop' expression.

    5. Let typedExpressionIRbinary be

    6. Let ( typeIRlvalue ) be the note of typedLvalueIR.

    7. Let expressionIR # _ be ! typedExpressionIRbinary implicitly cast to typeIRlvalue.

    8. Check that expressionIR has type binaryExpressionIR.

    9. Let _ binop'' typedExpressionIRcast be expressionIR.

    10. Check that binop'' is equal to binop'.

    11. Result in context TC, abstract control flow f, and typedLvalueIR assignop typedExpressionIRcast ;.

13.3.2. Compile-time evaluation

Click to view the specification source
rulegroup Stmt_inst/assignmentStatementIR:
  rule Stmt_inst/assignmentStatementIR:
  p IC STO |- assignmentStatementIR : IC STO assignmentStatementIR
  1. Result in context IC, store STO, and assignmentStatementIR.

13.3.3. Runtime evaluation

Click to view the specification source
rulegroup Stmt_eval/assignmentStatementIR:
  rule Stmt_eval/typedLvalueIR-abort:
  p EC_0 ARCH_0 |- typedLvalueIR assignop typedExpressionIR ; : EC_1 ARCH_1 abortResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 abortResult
  rule Stmt_eval/typedLvalueIR-cont-eq-typedExpressionIR-abort:
  p EC_0 ARCH_0 |- typedLvalueIR assignop typedExpressionIR ; : EC_2 ARCH_2 abortResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- if assignop = =
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR : EC_2 ARCH_2 abortResult
  rule Stmt_eval/typedLvalueIR-cont-compound-typedExpressionIR-abort:
  p EC_0 ARCH_0 |- typedLvalueIR assignop typedExpressionIR ; : EC_2 ARCH_2 abortResult
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- if assignop =/= =
 -- Lvalue_read: p EC_1 ARCH_1 |- storageReference : value_l
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR : EC_2 ARCH_2 abortResult
  rule Stmt_eval/typedLvalueIR-cont-eq-typedExpressionIR-cont:
  p EC_0 ARCH_0 |- typedLvalueIR assignop typedExpressionIR ; : EC_3 ARCH_2 `EMPTY
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- if assignop = =
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR : EC_2 ARCH_2 (` value)
 -- Lvalue_write: p EC_2 ARCH_2 |- storageReference -> value : EC_3
  rule Stmt_eval/typedLvalueIR-cont-compound-typedExpressionIR-cont:
  p EC_0 ARCH_0 |- typedLvalueIR assignop typedExpressionIR ; : EC_3 ARCH_2 `EMPTY
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- if assignop =/= =
 -- Lvalue_read: p EC_1 ARCH_1 |- storageReference : value_l
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR : EC_2 ARCH_2 (` value_r)
 -- if binop = $assignop_as_binop(assignop)
 -- if value_update = $bin_op(binop, value_l, value_r)
 -- Lvalue_write: p EC_2 ARCH_2 |- storageReference -> value_update : EC_3
  1. Let context EC1, state ARCH1, and result storageReferenceResult be

  2. If let abortResult be storageReferenceResult:

    1. Result in context EC1, state ARCH1, and abortResult.

  3. Else:

    1. Let storageReference? be storageReferenceResult.

    2. Check that storageReference? is defined.

    3. Let storageReference' be storageReference?.

    4. If assignop is =:

      1. Let context EC2, state ARCH2 and expressionResult be

      2. If let abortResult be expressionResult:

        1. Result in context EC2, state ARCH2, and abortResult.

      3. Else:

        1. Let value be expressionResult.

        2. Let context EC3 be

        3. Result in context EC3, state ARCH2, and `EMPTY.

    5. Else:

      1. Let value valuel be

      2. Let context EC2, state ARCH2 and expressionResult be

      3. If let abortResult be expressionResult:

        1. Result in context EC2, state ARCH2, and abortResult.

      4. Else:

        1. Let valuer be expressionResult.

        2. Let binop' be ! the binary operator corresponding to assignop.

        3. Let valueupdate be valuel binop' valuer.

        4. Let context EC3 be

        5. Result in context EC3, state ARCH2, and `EMPTY.

13.4. Call statements

Call statements are used to invoke actions, functions, and methods.

callStatement
   : lvalue `( argumentList ) ;
   | lvalue `< typeArgumentList > `( argumentList ) ;
   ;

Details of how calls are resolved and evaluated are described in Chapter 18.

13.4.1. Type checking

After type checking, a call statement is represented as:

callStatementIR
   : callableTargetIR `< typeArgumentListIR > `( argumentListIR ) ;
   ;

callableTargetIR
   : referenceExpressionIR
   | typedExpressionIR . nameIR
   | TYPE prefixedNameIR . nameIR
   | `( callableTargetIR )
   ;
Click to view the specification source
rulegroup Stmt_ok/callStatement:
  rule Stmt_ok/callStatement-no-typeArgumentList-static_assert:
  p TC f l |- lvalue_callable `(argumentList) ; : TC f emptyStatementIR
 -- CallableTarget_lvalue_ok: p TC |- lvalue_callable : callableTargetIR
 -- ArgumentList_ok: p TC |- argumentList : argumentIR*
 -- CallableType_ok: p TC |- callableTargetIR `<eps> `(argumentIR*) : callableTypeIR `<# typeId_impl*> `(# id_default* # id_optional*)
 -- Call_ok: p TC |- callableTypeIR `<eps # typeId_impl*> `(argumentIR* # id_default* # id_optional*) : typeIR_ret `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if $is_static_assert_callableTypeIR(callableTypeIR)
 -- if callExpressionIR = callableTargetIR `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if expressionNoteIR = `(typeIR_ret LCTK)
 -- Expr_eval_lctk: p TC |- (callExpressionIR # expressionNoteIR) ~> (`B true)
 -- if emptyStatementIR = ;
  rule Stmt_ok/callStatement-no-typeArgumentList:
  p TC f l |- lvalue_callable `(argumentList) ; : TC f callStatementIR
 -- CallableTarget_lvalue_ok: p TC |- lvalue_callable : callableTargetIR
 -- ArgumentList_ok: p TC |- argumentList : argumentIR*
 -- CallableType_ok: p TC |- callableTargetIR `<eps> `(argumentIR*) : callableTypeIR `<# typeId_impl*> `(# id_default* # id_optional*)
 -- Call_ok: p TC |- callableTypeIR `<eps # typeId_impl*> `(argumentIR* # id_default* # id_optional*) : typeIR_ret `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if ~$is_static_assert_callableTypeIR(callableTypeIR)
 -- if callStatementIR = callableTargetIR `<typeArgumentIR_inferred*> `(argumentIR_cast*) ;
  rule Stmt_ok/callStatement-typeArgumentList:
  p TC f l |- lvalue_callable `<typeArgumentList> `(argumentList) ; : TC f callStatementIR
 -- CallableTarget_lvalue_ok: p TC |- lvalue_callable : callableTargetIR
 -- TypeArgumentList_ok: p TC |- typeArgumentList : typeArgumentIR* # typeId_impl*
 -- ArgumentList_ok: p TC |- argumentList : argumentIR*
 -- CallableType_ok: p TC |- callableTargetIR `<typeArgumentIR*> `(argumentIR*) : callableTypeIR `<# typeId_inserted*> `(# id_default* # id_optional*)
 -- if typeId_infer* = typeId_impl* ++ typeId_inserted*
 -- Call_ok: p TC |- callableTypeIR `<typeArgumentIR* # typeId_infer*> `(argumentIR* # id_default* # id_optional*) : typeIR_ret `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if callStatementIR = callableTargetIR `<typeArgumentIR_inferred*> `(argumentIR_cast*) ;
  1. If let lvaluecallable ( argumentList ) ; be callStatement:

    1. Let typed callable target callableTargetIR be

    2. Let argumentIR* be

    3. Let callable type callableTypeIR with fresh type variables typeIdimpl*, defaults iddefault* and optionals idoptional* be

    4. Let return type typeIRret with inferred typeArgumentIRinferred* and casted argumentIRcast* be

    5. If callableTypeIR is a static_assert call:

      1. Let callExpressionIR be callableTargetIR < typeArgumentIRinferred* > ( argumentIRcast* ).

      2. Let expressionNoteIR be a pair of type typeIRret and compile-time known-ness LCTK.

      3. Let value be

      4. Check that value is equal to `B true.

      5. Let emptyStatementIR be ;.

      6. Result in context TC, abstract control flow f, and emptyStatementIR.

    6. Else:

      1. Let callStatementIR be callableTargetIR < typeArgumentIRinferred* > ( argumentIRcast* ) ;.

      2. Result in context TC, abstract control flow f, and callStatementIR.

  2. Else:

    1. Let lvaluecallable < typeArgumentList > ( argumentList ) ; be callStatement.

    2. Let typed callable target callableTargetIR be

    3. Let typeArgumentIR* and fresh type variables typeIdimpl* be

    4. Let argumentIR* be

    5. Let callable type callableTypeIR with fresh type variables typeIdinserted*, defaults iddefault* and optionals idoptional* be

    6. Let typeIdinfer* be typeIdimpl* concatenated with typeIdinserted*.

    7. Let return type typeIRret with inferred typeArgumentIRinferred* and casted argumentIRcast* be

    8. Let callStatementIR be callableTargetIR < typeArgumentIRinferred* > ( argumentIRcast* ) ;.

    9. Result in context TC, abstract control flow f, and callStatementIR.

13.4.2. Compile-time evaluation

Click to view the specification source
rulegroup Stmt_inst/callStatementIR:
  rule Stmt_inst/callStatementIR:
  p IC STO |- callStatementIR : IC STO callStatementIR
  1. Result in context IC, store STO, and callStatementIR.

13.4.3. Runtime evaluation

Click to view the specification source
rulegroup Stmt_eval/callStatementIR:
  rule Stmt_eval/callee-abort:
  p EC_0 ARCH_0 |- callableTargetIR `<typeArgumentIR*> `(argumentIR*) ; : EC_1 ARCH_1 abortResult
 -- Callee_eval: p EC_0 ARCH_0 |- callableTargetIR `<_> `(argumentIR*) : EC_1 ARCH_1 abortResult
  rule Stmt_eval/callee-cont-call-abort:
  p EC_0 ARCH_0 |- callableTargetIR `<typeArgumentIR*> `(argumentIR*) ; : EC_2 ARCH_2 abortResult
 -- Callee_eval: p EC_0 ARCH_0 |- callableTargetIR `<_> `(argumentIR*) : EC_1 ARCH_1 (` callee)
 -- Call_eval: p EC_1 ARCH_1 |- callee @ `<typeArgumentIR*> `(argumentIR*) : EC_2 ARCH_2 abortResult
  rule Stmt_eval/callee-cont-call-return:
  p EC_0 ARCH_0 |- callableTargetIR `<typeArgumentIR*> `(argumentIR*) ; : EC_2 ARCH_2 `EMPTY
 -- Callee_eval: p EC_0 ARCH_0 |- callableTargetIR `<_> `(argumentIR*) : EC_1 ARCH_1 (` callee)
 -- Call_eval: p EC_1 ARCH_1 |- callee @ `<typeArgumentIR*> `(argumentIR*) : EC_2 ARCH_2 returnResult
  1. Let context EC1, state ARCH1, and callee calleeResult be

  2. If let abortResult be calleeResult:

    1. Result in context EC1, state ARCH1, and abortResult.

  3. Else:

    1. Let callee be calleeResult.

    2. Let context EC2, state ARCH2, and call result callResult be

    3. If let abortResult be callResult:

      1. Result in context EC2, state ARCH2, and abortResult.

    4. Else:

      1. Result in context EC2, state ARCH2, and `EMPTY.

13.5. Direct type invocation

Controls and parsers are often instantiated exactly once. As a light syntactic sugar, control and parser declarations with no constructor parameters may be applied directly, as if they were an instance. This has the effect of creating and applying a local instance of that type.

control Callee(/* parameters omitted */) { /* body omitted */ }

control Caller(/* parameters omitted */)(/* parameters omitted */) {
    apply {
        Callee.apply(/* arguments omitted */); // Callee is treated as an instance
    }
}

The definition of Caller is equivalent to the following.

control Caller(/* parameters omitted */)(/* parameters omitted */) {
    @name("Callee") Callee() Callee_inst; // local instance of Callee
    apply {
        Callee_inst.apply(/* arguments omitted */);         // Callee_inst is applied
    }
}
directApplicationStatement
   : namedType . APPLY `( argumentList ) ;
   ;

This feature is intended to streamline the common case where a type is instantiated exactly once. The grammar allows direct calls for generic controls or parsers:

control Callee<T>(/* parameters omitted */) { /* body omitted */ }

control Caller(/* parameters omitted */)(/* parameters omitted */) {
    apply {
        // Callee<bit<32>> is treated as an instance
        Callee<bit<32>>.apply(/* arguments omitted */);
    }
}

For completeness, the behavior of directly invoking the same type more than once is defined as follows.

  • Direct type invocation in different scopes will result in different local instances with different fully-qualified control names.

  • In the same scope, direct type invocation will result in a different local instance per invocation—​however, instances of the same type will share the same global name, via the @name annotation. If the type contains controllable entities, then invoking it directly more than once in the same scope is illegal, because it will produce multiple controllable entities with the same fully-qualified control name.

See [sec-name-annotations] for details of @name annotations.

No direct invocation is possible for controls or parsers that require constructor arguments. These need to be instantiated before they are invoked.

13.5.1. Type checking

After type checking, a direct application statement is represented as:

directApplicationStatementIR
   : constructorTargetIR . APPLY `( argumentListIR ) ;
   ;
Click to view the specification source
rulegroup Stmt_ok/directApplicationStatement:
  rule Stmt_ok/directApplicationStatement:
  p TC_0 f l |- namedType . APPLY `(argumentList) ; : TC_0 f directApplicationStatementIR
 -- Expr_ok: p TC_0 |- namedType `(`EMPTY) : (constructorTargetIR `(eps)) # `(typeIR_object _)
 -- if prefixedNameIR `<typeArgumentIR*> = constructorTargetIR
 -- if typeIR_object_unroll = $unroll_typeIR(typeIR_object)
 -- if (typeIR_object_unroll <: parserObjectTypeIR) \/ (typeIR_object_unroll <: controlObjectTypeIR)
 -- if nameIR_object = "__direct_application"
 -- if TC_1 = $add_var_t(p, TC_0, nameIR_object, `EMPTY typeIR_object CTK eps)
 -- if lvalue = (`ID nameIR_object) . (`ID "apply")
 -- Stmt_ok: p TC_1 f l |- lvalue `(argumentList) ; : _ _ callStatementIR
 -- if (typedExpressionIR_base . "apply") `<eps> `(argumentIR_cast*) ; = callStatementIR
 -- if (` nameIR_object) # `(typeIR_object CTK) = typedExpressionIR_base
 -- if constructorTargetIR = prefixedNameIR `<typeArgumentIR*>
 -- if directApplicationStatementIR = constructorTargetIR . APPLY `(argumentIR_cast*) ;
  1. Let expressionIR annotated with a pair of type typeIRobject and compile-time known-ness _ be

  2. Check that expressionIR has type callExpressionIR.

  3. Let callExpressionIR be expressionIR.

  4. Check that callExpressionIR matches pattern % ( % ).

  5. Let constructorTargetIR ( argumentIR* ) be callExpressionIR.

  6. Check that argumentIR* is an empty list.

  7. Let prefixedNameIR < typeArgumentIR* > be constructorTargetIR.

  8. Let typeIRobject_unroll be typeIRobject with typedefs unrolled.

  9. Check that typeIRobject_unroll has type parserObjectTypeIR or typeIRobject_unroll has type controlObjectTypeIR.

  10. Let nameIRobject be "__direct_application".

  11. Let TC1 be TC where nameIRobject to `EMPTY typeIRobject CTK · is added to the p layer.

  12. Let lvalue be `ID nameIRobject . `ID "apply".

  13. Let context _, abstract control flow _, and statementIR be

  14. Check that statementIR has type callStatementIR.

  15. Let callStatementIR be statementIR.

  16. Let callableTargetIR < typeArgumentIR'* > ( argumentIRcast* ) ; be callStatementIR.

  17. Check that callableTargetIR matches pattern % . %.

  18. Let typedExpressionIRbase . text be callableTargetIR.

  19. Check that text is equal to "apply".

  20. Check that typeArgumentIR'* is an empty list.

  21. Check that nameIRobject annotated with a pair of type typeIRobject and compile-time known-ness CTK is equal to typedExpressionIRbase.

  22. Check that constructorTargetIR is equal to prefixedNameIR < typeArgumentIR* >.

  23. Let directApplicationStatementIR be constructorTargetIR . APPLY ( argumentIRcast* ) ;.

  24. Result in context TC, abstract control flow f, and directApplicationStatementIR.

13.5.2. Compile-time evaluation

At compile-time, a direct application is instantiated, and then desugared into a method call on that instance with the relation:

Click to view the specification source
relation DirectApplicationStmt_inst: cursor instContext store |- directApplicationStatementIR : store constantDeclarationIR callStatementIR

It is implemented as:

Click to view the specification source
rulegroup DirectApplicationStmt_inst:
  rule DirectApplicationStmt_inst:
  p IC STO_0 |- constructorTargetIR . APPLY `(argumentListIR) ; : STO_2 constantDeclarationIR callStatementIR
 -- if prefixedNameIR `<typeArgumentListIR> = constructorTargetIR
 -- Constructor_inst: p IC |- prefixedNameIR `<typeArgumentListIR> `(eps) : constructorDef `<typeArgumentListIR_inst> `(# id_default* # id_optional*)
 -- if typeId = $flatten_prefixedNameIR(prefixedNameIR)
 -- if IC_callee = $enter_path_i(IC, typeId)
 -- Constructor_call: p IC_callee STO_0 |- constructorDef `<typeArgumentListIR_inst> `(eps # id_default* # id_optional*) : STO_1 object
 -- if typeId_fresh = $fresh_typeId
 -- if typeIR = ` typeId
 -- if nameIR = $concat_text([typeId, "_", typeId_fresh])
 -- if objectId = IC.PATH ++ typeId
 -- if STO_2 = $add_store(STO_1, objectId, object)
 -- if constantDeclarationIR = `EMPTY CONST typeIR nameIR (= `VALUE (REF objectId)) ;
 -- if typedExpressionIR_base = (` nameIR) # `(typeIR CTK)
 -- if callableTargetIR = typedExpressionIR_base . "apply"
 -- if callStatementIR = callableTargetIR `<typeArgumentListIR_inst> `(argumentListIR) ;
  1. Let prefixedNameIR < typeArgumentListIR > be constructorTargetIR.

  2. Let constructor constructorDef < typeArgumentListIRinst > with defaults iddefault* and optionals idoptional* be

  3. Let typeId be the string form of prefixedNameIR.

  4. Let ICcallee be IC with typeId added to the path.

  5. Let store STO1 and instantiated object be

  6. Let typeIdfresh be a fresh type variable.

  7. Let typeIR be typeId.

  8. Let nameIR be the concatenation of [ typeId, "_", typeIdfresh ].

  9. Let objectId be IC.PATH concatenated with typeId.

  10. Let STO2 be STO1 where objectId to object is added.

  11. Let constantDeclarationIR be `EMPTY CONST typeIR nameIR = `VALUE REF objectId ;.

  12. Let typedExpressionIRbase be nameIR annotated with a pair of type typeIR and compile-time known-ness CTK.

  13. Let callableTargetIR be typedExpressionIRbase . "apply".

  14. Let callStatementIR be callableTargetIR < typeArgumentListIRinst > ( argumentListIR ) ;.

  15. Result in store STO2 and desugared constantDeclarationIR, callStatementIR.

A direct application statement is instantiated as:

Click to view the specification source
rulegroup Stmt_inst/directApplicationStatementIR:
  rule Stmt_inst/directApplicationStatementIR:
  p IC STO_0 |- directApplicationStatementIR : IC STO_1 blockStatementIR
 -- DirectApplicationStmt_inst: p IC STO_0 |- directApplicationStatementIR : STO_1 constantDeclarationIR callStatementIR
 -- if blockStatementIR = `EMPTY `{[constantDeclarationIR, callStatementIR]}
  1. Let store STO1 and desugared constantDeclarationIR, callStatementIR be

  2. Let blockStatementIR be `EMPTY { [ constantDeclarationIR, callStatementIR ] }.

  3. Result in context IC, store STO1, and blockStatementIR.

13.6. Return statements

The return statement immediately terminates the execution of the action, function or control containing it. return statements are not allowed within parsers. return statements followed by an expression are only allowed within functions that return values; in this case the type of the expression must match the return type of the function. Any copy-out behavior due to direction out or inout parameters of the enclosing action, function, or control are still performed after the execution of the return statement. See Section 18.4 for details on copy-out behavior.

returnStatement
   : RETURN ;
   | RETURN expression ;
   ;

13.6.1. Type checking

After type checking, a return statement has the form:

returnStatementIR
   : RETURN ;
   | RETURN typedExpressionIR ;
   ;
Click to view the specification source
rulegroup Stmt_ok/returnStatement:
  rule Stmt_ok/non-expression:
  LOCAL TC f l |- RETURN ; : TC RET (RETURN ;)
 -- if VOID = $find_local_return_type_t(TC)
  rule Stmt_ok/expression:
  LOCAL TC f l |- RETURN expression ; : TC RET (RETURN typedExpressionIR_cast ;)
 -- Expr_ok: LOCAL TC |- expression : typedExpressionIR
 -- if typeIR = $type_of_typedExpressionIR(typedExpressionIR)
 -- if typeIR_ret = $find_local_return_type_t(TC)
 -- if typedExpressionIR_cast = $cast_unary(typedExpressionIR, typeIR_ret)
  1. If returnStatement is RETURN ;:

    1. Check that VOID is equal to the expected return type in TC.

    2. Result in context TC, abstract control flow RET, and RETURN ;.

  2. Else:

    1. Let RETURN expression ; be returnStatement.

    2. Let typedExpressionIR be

    3. Let typeIR be the type of typedExpressionIR.

    4. Let typeIRret be ! the expected return type in TC.

    5. Let typedExpressionIRcast be ! typedExpressionIR implicitly cast to typeIRret.

    6. Result in context TC, abstract control flow RET, and RETURN typedExpressionIRcast ;.

13.6.2. Compile-time evaluation

Click to view the specification source
rulegroup Stmt_inst/returnStatementIR:
  rule Stmt_inst/returnStatementIR:
  LOCAL IC STO |- returnStatementIR : IC STO returnStatementIR
  1. Result in context IC, store STO, and returnStatementIR.

13.6.3. Runtime evaluation

Click to view the specification source
rulegroup Stmt_eval/returnStatementIR:
  rule Stmt_eval/non-expression:
  LOCAL EC ARCH |- RETURN ; : EC ARCH (RETURN eps)
  rule Stmt_eval/expression-abort:
  LOCAL EC_0 ARCH_0 |- RETURN typedExpressionIR ; : EC_1 ARCH_1 abortResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 abortResult
  rule Stmt_eval/expression-cont:
  LOCAL EC_0 ARCH_0 |- RETURN typedExpressionIR ; : EC_1 ARCH_1 (RETURN value)
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value)
  1. If returnStatementIR is RETURN ;:

    1. Result in context EC, state ARCH, and RETURN ·.

  2. Else:

    1. Let RETURN typedExpressionIR ; be returnStatementIR.

    2. Let context EC1, state ARCH1 and expressionResult be

    3. If let abortResult be expressionResult:

      1. Result in context EC1, state ARCH1, and abortResult.

    4. Else:

      1. Let value be expressionResult.

      2. Result in context EC1, state ARCH1, and RETURN value.

13.7. Exit statements

The exit statement immediately terminates the execution of all the blocks currently executing: the current action (if invoked within an action), the current control, and all its callers. exit statements are not allowed within parsers or functions.

Any copy-out behavior due to direction out or inout parameters of the enclosing action or control, and all of its callers, are still performed after the execution of the exit statement. See Section 18.4 for details on copy-out behavior.

exitStatement
   : EXIT ;
   ;

There are some expressions whose evaluation might cause an exit statement to be executed. Examples include:

  • table.apply().action_run, which can only appear as the expression of a switch statement (see Section 13.13), and when it appears there, it must be the entire expression.

  • Any expression containing table.apply().hit or table.apply().miss (see Section 16.3.7), which can be part of arbitrarily complex expressions in many places of a P4 program, such as:

    • the expression in an if statement.

    • the expression e1 in a conditional expression e1 ? e2 : e3.

    • in an assignment statement, in the left and/or right hand sides.

    • an argument passed to a function or method call.

    • an expression to calculate a table key (see [sec-mau-semantics]).

This list is not intended to be exhaustive.

If applying the table causes an action to be executed, which in turn causes an exit statement to be executed, then evaluation of the expression ends immediately, and the rest of the current expression or statement does not complete its execution. See Section 14.1 for the order of evaluation of the parts of an expression. For the examples listed above, it also means the following behavior after the expression evaluation is interrupted.

  • For a switch statement, if table.apply() exits, then none of the blocks in the switch statement are executed.

  • If table.apply().hit or table.apply().miss cause an exit during the evaluation of an expression:

    • If it is the expression of an if statement, then neither the 'then' nor 'else' branches of the if statement are executed.

    • If it is the expression e1 in a conditional expression e1 ? e2 : e3, then neither expression e2 nor e3 are evaluated.

    • If the expression is the right hand side of an assignment statement, or part of the calculation of the L-value on the left hand side (e.g. the index expression of a header stack reference), then no assignment occurs.

    • If the expression is an argument passed to a function or method call, then the function/method call does not occur.

    • If the expression is a table key, then the table is not applied.

13.7.1. Type checking

After type checking, an exit statement is represented in P4IR as:

exitStatementIR = exitStatement
Click to view the specification source
rulegroup Stmt_ok/exitStatement:
  rule Stmt_ok/exitStatement:
  p TC f l |- EXIT ; : TC f (EXIT ;)
  1. Result in context TC, abstract control flow f, and EXIT ;.

13.7.2. Compile-time evaluation

Click to view the specification source
rulegroup Stmt_inst/exitStatementIR:
  rule Stmt_inst/exitStatementIR:
  p IC STO |- exitStatementIR : IC STO exitStatementIR
  1. Result in context IC, store STO, and exitStatementIR.

13.7.3. Runtime evaluation

Click to view the specification source
rulegroup Stmt_eval/exitStatementIR:
  rule Stmt_eval/exitStatementIR:
  p EC ARCH |- EXIT ; : EC ARCH EXIT
  1. Result in context EC, state ARCH, and EXIT.

13.8. Block statements

A block statement is denoted by curly braces. It contains a sequence of statements and declarations, which are executed sequentially. The declarations (e.g., variables and constants) within a block statement are only visible within the block.

blockStatement
   : annotationList `{ blockElementStatementList }
   ;

blockElementStatementList
   : /* empty */
   | blockElementStatementList blockElementStatement
   ;

blockElementStatement
   : constantDeclaration
   | variableDeclaration
   | statement
   ;

13.8.1. Type checking

After type checking, block statements are represented in P4IR as:

blockStatementIR
   : annotationList `{ blockElementStatementListIR }
   ;

blockElementStatementListIR = blockElementStatementIR*

blockElementStatementIR
   : constantDeclarationIR
   | variableDeclarationIR
   | statementIR
   ;
Click to view the specification source
rulegroup Stmt_ok/blockStatement:
  rule Stmt_ok/blockStatement:
  LOCAL TC_0 f_0 l |- blockStatement : TC_3 f_1 blockStatementIR
 -- if TC_1 = $enter_t(TC_0)
 -- Block_ok: TC_1 f_0 l |- blockStatement : TC_2 f_1 blockStatementIR
 -- if TC_3 = $exit_t(TC_2)
  1. Let TC1 be TC with a new local frame.

  2. Let context TC2, abstract control flow f1, and blockStatementIR be

  3. Let TC3 be TC2 with the innermost frame removed.

  4. Result in context TC3, abstract control flow f1, and blockStatementIR.

A block is type checked by the relation:

Click to view the specification source
relation Block_ok: typingContext flow loopctxt |- blockStatement : typingContext flow blockStatementIR
Click to view the specification source
rulegroup Block_ok:
  rule Block_ok:
  TC_0 f l |- annotationList `{blockElementStatementList} : TC_1 f_post blockStatementIR
 -- BlockElementStmtList_ok: TC_0 f l |- blockElementStatementList : TC_1 f_post blockElementStatementIR*
 -- if blockStatementIR = annotationList `{blockElementStatementIR*}
  1. Let context TC1, abstract control flow fpost, and blockElementStatementIR* be

  2. Let blockStatementIR be annotationList { blockElementStatementIR* }.

  3. Result in context TC1, abstract control flow fpost, and blockStatementIR.

A statement or declaration within a block statement is type checked by the relation:

Click to view the specification source
relation BlockElementStmt_ok: typingContext flow loopctxt |- blockElementStatement : typingContext flow blockElementStatementIR
Click to view the specification source
rulegroup BlockElementStmt_ok:
  rule BlockElementStmt_ok/constantDeclaration:
  TC_0 f l |- constantDeclaration : TC_1 f constantDeclarationIR
 -- ConstDecl_ok: LOCAL TC_0 |- constantDeclaration : TC_1 constantDeclarationIR
  rule BlockElementStmt_ok/variableDeclaration:
  TC_0 f l |- variableDeclaration : TC_1 f variableDeclarationIR
 -- VarDecl_ok: LOCAL TC_0 |- variableDeclaration : TC_1 variableDeclarationIR
  rule BlockElementStmt_ok/statement:
  TC_0 f l |- statement : TC_1 f_post statementIR
 -- Stmt_ok: LOCAL TC_0 f l |- statement : TC_1 f_post statementIR
  1. If let constantDeclaration be blockElementStatement:

    1. Let context TC1 and constantDeclarationIR be

    2. Result in context TC1, abstract control flow f, and constantDeclarationIR.

  2. Else if let variableDeclaration be blockElementStatement:

    1. Let context TC1 and variableDeclarationIR be

    2. Result in context TC1, abstract control flow f, and variableDeclarationIR.

  3. Else:

    1. Let statement be blockElementStatement.

    2. Let context TC1, abstract control flow fpost, and statementIR be

    3. Result in context TC1, abstract control flow fpost, and statementIR.

A list of block elements is type checked by the relation:

Click to view the specification source
relation BlockElementStmtList_ok: typingContext flow loopctxt |- blockElementStatementList : typingContext flow blockElementStatementIR*
Click to view the specification source
rulegroup BlockElementStmtList_ok:
  rule BlockElementStmtList_ok:
  TC_0 f l |- blockElementStatementList : TC_1 f_post blockElementStatementIR*
 -- if blockElementStatement* = $flatten_blockElementStatementList(blockElementStatementList)
 -- BlockElementStmts_ok: TC_0 f l |- blockElementStatement* : TC_1 f_post blockElementStatementIR*
  1. Let blockElementStatement* be blockElementStatementList flattened.

  2. Let context TC1, abstract control flow fpost, and blockElementStatementIR* be

  3. Result in context TC1, abstract control flow fpost, and blockElementStatementIR*.

Click to view the specification source
relation BlockElementStmts_ok: typingContext flow loopctxt |- blockElementStatement* : typingContext flow blockElementStatementIR*
Click to view the specification source
rulegroup BlockElementStmts_ok:
  rule BlockElementStmts_ok/nil:
  TC f l |- eps : TC f eps
  rule BlockElementStmts_ok/cons:
  TC_0 f_0 l |- blockElementStatement_h :: blockElementStatement_t* : TC_2 f_2 (blockElementStatementIR_h :: blockElementStatementIR_t*)
 -- BlockElementStmt_ok: TC_0 f_0 l |- blockElementStatement_h : TC_1 f_1 blockElementStatementIR_h
 -- BlockElementStmts_ok: TC_1 f_1 l |- blockElementStatement_t* : TC_2 f_2 blockElementStatementIR_t*
  1. If blockElementStatement* is equal to ·:

    1. Result in context typingContext, abstract control flow flow, and ·.

  2. If let blockElementStatementh :: blockElementStatementt* be blockElementStatement*:

    1. Let context TC1, abstract control flow f1, and blockElementStatementIRh be

    2. Let context TC2, abstract control flow f2, and blockElementStatementIRt* be

    3. Result in context TC2, abstract control flow f2, and blockElementStatementIRh :: blockElementStatementIRt*.

13.8.2. Compile-time evaluation

Click to view the specification source
rulegroup Stmt_inst/blockStatementIR:
  rule Stmt_inst/blockStatementIR:
  LOCAL IC_0 STO_0 |- annotationList `{blockElementStatementListIR} : IC_3 STO_1 (annotationList `{blockElementStatementListIR_inst})
 -- if IC_1 = $enter_i(IC_0)
 -- Block_inst: IC_1 STO_0 |- annotationList `{blockElementStatementListIR} : IC_2 STO_1 (_ `{blockElementStatementListIR_inst})
 -- if IC_3 = $exit_i(IC_2)
  1. Let IC1 be IC with a new local frame.

  2. Let context IC2, store STO1, and _ { blockElementStatementListIRinst } be

  3. Let IC3 be IC2 with the innermost frame removed.

  4. Result in context IC3, store STO1, and annotationList { blockElementStatementListIRinst }.

A block is compile-time evaluated by the relation:

Click to view the specification source
relation Block_inst: instContext store |- blockStatementIR : instContext store blockStatementIR
Click to view the specification source
rulegroup Block_inst:
  rule Block_inst:
  IC_0 STO_0 |- annotationList `{blockElementStatementListIR} : IC_1 STO_1 (annotationList `{blockElementStatementListIR_inst})
 -- BlockElementStmtList_inst: IC_0 STO_0 |- blockElementStatementListIR : IC_1 STO_1 blockElementStatementListIR_inst
  1. Let context IC1, store STO1, and blockElementStatementListIRinst be

  2. Result in context IC1, store STO1, and annotationList { blockElementStatementListIRinst }.

A block element is compile-time evaluated by the relation:

Click to view the specification source
relation BlockElementStmt_inst: instContext store |- blockElementStatementIR : instContext store blockElementStatementIR
Click to view the specification source
rulegroup BlockElementStmt_inst:
  rule BlockElementStmt_inst/constantDeclarationIR:
  IC_0 STO_0 |- constantDeclarationIR : IC_1 STO_0 constantDeclarationIR
 -- ConstDecl_inst: LOCAL IC_0 |- constantDeclarationIR : IC_1
  rule BlockElementStmt_inst/variableDeclarationIR:
  IC STO |- variableDeclarationIR : IC STO variableDeclarationIR
  rule BlockElementStmt_inst/statementIR:
  IC_0 STO_0 |- statementIR : IC_1 STO_1 statementIR_inst
 -- Stmt_inst: LOCAL IC_0 STO_0 |- statementIR : IC_1 STO_1 statementIR_inst
  1. If let constantDeclarationIR be blockElementStatementIR:

    1. Let context IC1 be

    2. Result in context IC1, store store, and constantDeclarationIR.

  2. Else if let variableDeclarationIR be blockElementStatementIR:

    1. Result in context instContext, store store, and variableDeclarationIR.

  3. Else:

    1. Let statementIR be blockElementStatementIR.

    2. Let context IC1, store STO1, and statementIRinst be

    3. Result in context IC1, store STO1, and statementIRinst.

A list of block elements is compile-time evaluated by the relation:

Click to view the specification source
relation BlockElementStmtList_inst: instContext store |- blockElementStatementListIR : instContext store blockElementStatementIR*
Click to view the specification source
rulegroup BlockElementStmtList_inst:
  rule BlockElementStmtList_inst/nil:
  IC STO |- eps : IC STO eps
  rule BlockElementStmtList_inst/cons:
  IC_0 STO_0 |- blockElementStatementIR_h :: blockElementStatementIR_t* : IC_2 STO_2 (blockElementStatementIR_h_inst :: blockElementStatementIR_t_inst*)
 -- BlockElementStmt_inst: IC_0 STO_0 |- blockElementStatementIR_h : IC_1 STO_1 blockElementStatementIR_h_inst
 -- BlockElementStmtList_inst: IC_1 STO_1 |- blockElementStatementIR_t* : IC_2 STO_2 blockElementStatementIR_t_inst*
  1. If blockElementStatementIR* is equal to ·:

    1. Result in context instContext, store store, and ·.

  2. If let blockElementStatementIRh :: blockElementStatementIRt* be blockElementStatementIR*:

    1. Let context IC1, store STO1, and blockElementStatementIRh_inst be

    2. Let context IC2, store STO2, and blockElementStatementIRt_inst* be

    3. Result in context IC2, store STO2, and blockElementStatementIRh_inst :: blockElementStatementIRt_inst*.

13.8.3. Runtime evaluation

Click to view the specification source
rulegroup Stmt_eval/blockStatementIR:
  rule Stmt_eval/blockStatementIR:
  p EC_0 ARCH_0 |- blockStatementIR : EC_3 ARCH_1 statementResult
 -- if EC_1 = $enter_e(EC_0)
 -- Block_eval: EC_1 ARCH_0 |- blockStatementIR : EC_2 ARCH_1 statementResult
 -- if EC_3 = $exit_e(EC_2)
  1. Let EC1 be EC with a new local frame.

  2. Let context EC2, state ARCH1, and statementResult be

  3. Let EC3 be EC2 with the innermost frame removed.

  4. Result in context EC3, state ARCH1, and statementResult.

A block is runtime evaluated by the relation:

Click to view the specification source
relation Block_eval: evalContext arch |- blockStatementIR : evalContext arch statementResult
Click to view the specification source
rulegroup Block_eval:
  rule Block_eval:
  EC_0 ARCH_0 |- annotationList `{blockElementStatementListIR} : EC_1 ARCH_1 statementResult
 -- BlockElementStmtList_eval: EC_0 ARCH_0 |- blockElementStatementListIR : EC_1 ARCH_1 statementResult
  1. Let context EC1, state ARCH1, and statementResult be

  2. Result in context EC1, state ARCH1, and statementResult.

A block element is runtime evaluated by the relation:

Click to view the specification source
relation BlockElementStmt_eval: evalContext arch |- blockElementStatementIR : evalContext arch statementResult
Click to view the specification source
rulegroup BlockElementStmt_eval:
  rule BlockElementStmt_eval/constantDeclarationIR:
  EC_0 ARCH |- constantDeclarationIR : EC_1 ARCH `EMPTY
 -- ConstDecl_eval: LOCAL EC_0 |- constantDeclarationIR : EC_1
  rule BlockElementStmt_eval/variableDeclarationIR:
  EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 declarationResult
 -- VarDecl_eval: LOCAL EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 declarationResult
  rule BlockElementStmt_eval/statementIR:
  EC_0 ARCH_0 |- statementIR : EC_1 ARCH_1 statementResult
 -- Stmt_eval: LOCAL EC_0 ARCH_0 |- statementIR : EC_1 ARCH_1 statementResult
  1. If let constantDeclarationIR be blockElementStatementIR:

    1. Let context EC1 be

    2. Result in context EC1, state arch, and `EMPTY.

  2. Else if let variableDeclarationIR be blockElementStatementIR:

    1. Let context EC1, state ARCH1, and result declarationResult be

    2. Result in context EC1, state ARCH1, and declarationResult.

  3. Else:

    1. Let statementIR be blockElementStatementIR.

    2. Let context EC1, state ARCH1, and statementResult be

    3. Result in context EC1, state ARCH1, and statementResult.

A list of block elements is runtime evaluated by the relation:

Click to view the specification source
relation BlockElementStmtList_eval: evalContext arch |- blockElementStatementListIR : evalContext arch statementResult
Click to view the specification source
rulegroup BlockElementStmtList_eval:
  rule BlockElementStmtList_eval/nil:
  EC ARCH |- eps : EC ARCH `EMPTY
  rule BlockElementStmtList_eval/cons-head-non-cont:
  EC_0 ARCH_0 |- blockElementStatementIR_h :: blockElementStatementIR_t* : EC_1 ARCH_1 statementResult
 -- BlockElementStmt_eval: EC_0 ARCH_0 |- blockElementStatementIR_h : EC_1 ARCH_1 statementResult
 -- if statementResult =/= `EMPTY
  rule BlockElementStmtList_eval/cons-head-cont:
  EC_0 ARCH_0 |- blockElementStatementIR_h :: blockElementStatementIR_t* : EC_2 ARCH_2 statementResult
 -- BlockElementStmt_eval: EC_0 ARCH_0 |- blockElementStatementIR_h : EC_1 ARCH_1 `EMPTY
 -- BlockElementStmtList_eval: EC_1 ARCH_1 |- blockElementStatementIR_t* : EC_2 ARCH_2 statementResult
  1. If blockElementStatementIR* is equal to ·:

    1. Result in context evalContext, state arch, and `EMPTY.

  2. If let blockElementStatementIRh :: blockElementStatementIRt* be blockElementStatementIR*:

    1. Let context EC1, state ARCH1, and statementResult be

    2. If statementResult is not equal to `EMPTY:

      1. Result in context EC1, state ARCH1, and statementResult.

    3. If let continueEmptyResult be statementResult:

      1. Let context EC2, state ARCH2, and statementResult' be

      2. Result in context EC2, state ARCH2, and statementResult'.

13.9. Conditional statements

The conditional statement uses standard syntax and semantics familiar from many programming languages.

However, the condition expression in P4 is required to be a Boolean (and not an integer).

conditionalStatement
   : IF `( expression ) statement
   | IF `( expression ) statement ELSE statement
   ;

When several if statements are nested, the else applies to the innermost if statement that does not have an else statement.

13.9.1. Type checking

After type checking, a conditional statement has the form:

conditionalStatementIR
   : IF `( typedExpressionIR ) statementIR
   | IF `( typedExpressionIR ) statementIR ELSE statementIR
   ;
Click to view the specification source
rulegroup Stmt_ok/conditionalStatement:
  rule Stmt_ok/non-else:
  p TC f l |- IF `(expression_cond) statement_then : TC f (IF `(typedExpressionIR_cond) statementIR_then)
 -- Expr_ok: p TC |- expression_cond : typedExpressionIR_cond
 -- if typeIR_cond = $type_of_typedExpressionIR(typedExpressionIR_cond)
 -- if BOOL = $unroll_typeIR(typeIR_cond)
 -- Stmt_ok: p TC f l |- statement_then : TC_then f_then statementIR_then
  rule Stmt_ok/else:
  p TC f l |- IF `(expression_cond) statement_then ELSE statement_else : TC f_post (IF `(typedExpressionIR_cond) statementIR_then ELSE statementIR_else)
 -- Expr_ok: p TC |- expression_cond : typedExpressionIR_cond
 -- if typeIR_cond = $type_of_typedExpressionIR(typedExpressionIR_cond)
 -- if BOOL = $unroll_typeIR(typeIR_cond)
 -- Stmt_ok: p TC f l |- statement_then : TC_then f_then statementIR_then
 -- Stmt_ok: p TC f l |- statement_else : TC_else f_else statementIR_else
 -- if f_post = $join_flow(f_then, f_else)
  1. If let IF ( expressioncond ) statementthen be conditionalStatement:

    1. Let typedExpressionIRcond be

    2. Let typeIRcond be the type of typedExpressionIRcond.

    3. Check that BOOL is equal to typeIRcond with typedefs unrolled.

    4. Let context TCthen, abstract control flow fthen, and statementIRthen be

    5. Result in context TC, abstract control flow f, and IF ( typedExpressionIRcond ) statementIRthen.

  2. Else:

    1. Let IF ( expressioncond ) statementthen ELSE statementelse be conditionalStatement.

    2. Let typedExpressionIRcond be

    3. Let typeIRcond be the type of typedExpressionIRcond.

    4. Check that BOOL is equal to typeIRcond with typedefs unrolled.

    5. Let context TCthen, abstract control flow fthen, and statementIRthen be

    6. Let context TCelse, abstract control flow felse, and statementIRelse be

    7. Let fpost be the merged control flow of fthen and felse.

    8. Result in context TC, abstract control flow fpost, and IF ( typedExpressionIRcond ) statementIRthen ELSE statementIRelse.

13.9.2. Compile-time evaluation

Click to view the specification source
rulegroup Stmt_inst/conditionalStatementIR:
  rule Stmt_inst/non-else:
  p IC STO_0 |- IF `(typedExpressionIR_cond) statementIR_then : IC STO_1 (IF `(typedExpressionIR_cond) statementIR_then_inst)
 -- Stmt_inst: p IC STO_0 |- statementIR_then : IC_then STO_1 statementIR_then_inst
  rule Stmt_inst/else:
  p IC STO_0 |- IF `(typedExpressionIR_cond) statementIR_then ELSE statementIR_else : IC STO_2 (IF `(typedExpressionIR_cond) statementIR_then_inst ELSE statementIR_else_inst)
 -- Stmt_inst: p IC STO_0 |- statementIR_then : IC_then STO_1 statementIR_then_inst
 -- Stmt_inst: p IC STO_1 |- statementIR_else : IC_else STO_2 statementIR_else_inst
  1. If let IF ( typedExpressionIRcond ) statementIRthen be conditionalStatementIR:

    1. Let context ICthen, store STO1, and statementIRthen_inst be

    2. Result in context IC, store STO1, and IF ( typedExpressionIRcond ) statementIRthen_inst.

  2. Else:

    1. Let IF ( typedExpressionIRcond ) statementIRthen ELSE statementIRelse be conditionalStatementIR.

    2. Let context ICthen, store STO1, and statementIRthen_inst be

    3. Let context ICelse, store STO2, and statementIRelse_inst be

    4. Result in context IC, store STO2, and IF ( typedExpressionIRcond ) statementIRthen_inst ELSE statementIRelse_inst.

13.9.3. Runtime evaluation

Click to view the specification source
rulegroup Stmt_eval/conditionalStatementIR:
  rule Stmt_eval/non-else-abort:
  p EC ARCH |- IF `(typedExpressionIR_cond) statementIR_then : EC_cond ARCH_cond abortResult
 -- Expr_eval: p EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond abortResult
  rule Stmt_eval/non-else-cont-true:
  p EC ARCH |- IF `(typedExpressionIR_cond) statementIR_then : EC_then ARCH_then statementResult
 -- Expr_eval: p EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond (` (`B true))
 -- Stmt_eval: p EC_cond ARCH_cond |- statementIR_then : EC_then ARCH_then statementResult
  rule Stmt_eval/non-else-cont-false:
  p EC ARCH |- IF `(typedExpressionIR_cond) statementIR_then : EC_cond ARCH_cond `EMPTY
 -- Expr_eval: p EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond (` (`B false))
  rule Stmt_eval/else-abort:
  p EC ARCH |- IF `(typedExpressionIR_cond) statementIR_then ELSE statementIR_else : EC_cond ARCH_cond abortResult
 -- Expr_eval: p EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond abortResult
  rule Stmt_eval/else-cont-true:
  p EC ARCH |- IF `(typedExpressionIR_cond) statementIR_then ELSE statementIR_else : EC_then ARCH_then statementResult
 -- Expr_eval: p EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond (` (`B true))
 -- Stmt_eval: p EC_cond ARCH_cond |- statementIR_then : EC_then ARCH_then statementResult
  rule Stmt_eval/else-cont-false:
  p EC ARCH |- IF `(typedExpressionIR_cond) statementIR_then ELSE statementIR_else : EC_else ARCH_else statementResult
 -- Expr_eval: p EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond (` (`B false))
 -- Stmt_eval: p EC_cond ARCH_cond |- statementIR_else : EC_else ARCH_else statementResult
  1. If let IF ( typedExpressionIRcond ) statementIRthen be conditionalStatementIR:

    1. Let context ECcond, state ARCHcond and expressionResult be

    2. If let abortResult be expressionResult:

      1. Result in context ECcond, state ARCHcond, and abortResult.

    3. If expressionResult is equal to `B true:

      1. Let context ECthen, state ARCHthen, and statementResult be

      2. Result in context ECthen, state ARCHthen, and statementResult.

    4. Else if expressionResult is equal to `B false:

      1. Result in context ECcond, state ARCHcond, and `EMPTY.

  2. Else:

    1. Let IF ( typedExpressionIRcond ) statementIRthen ELSE statementIRelse be conditionalStatementIR.

    2. Let context ECcond, state ARCHcond and expressionResult be

    3. If let abortResult be expressionResult:

      1. Result in context ECcond, state ARCHcond, and abortResult.

    4. If expressionResult is equal to `B true:

      1. Let context ECthen, state ARCHthen, and statementResult be

      2. Result in context ECthen, state ARCHthen, and statementResult.

    5. Else if expressionResult is equal to `B false:

      1. Let context ECelse, state ARCHelse, and statementResult be

      2. Result in context ECelse, state ARCHelse, and statementResult.

13.10. For statements

A for statement executes a statement zero or more times, based on a condition or a range or collection.

forStatement
   : annotationList FOR
       `( forInitStatementList ; expression ; forUpdateStatementList ) statement
   | annotationList FOR `( type name IN forCollectionExpression ) statement
   | annotationList FOR
       `( annotationListNonEmpty type name IN forCollectionExpression )
       statement
   ;

forInitStatementList
   : /* empty */
   | forInitStatementListNonEmpty
   ;

forInitStatementListNonEmpty
   : forInitStatement
   | forInitStatementListNonEmpty , forInitStatement
   ;

forInitStatement
   : annotationList type name initializerOpt
   | forUpdateStatement
   ;

forUpdateStatementList
   : /* empty */
   | forUpdateStatementListNonEmpty
   ;

forUpdateStatementListNonEmpty
   : forUpdateStatement
   | forUpdateStatementListNonEmpty , forUpdateStatement
   ;

forUpdateStatement
   : lvalue `( argumentList )
   | lvalue `< typeArgumentList > `( argumentList )
   | lvalue assignop expression
   ;

forCollectionExpression
   : expression
   | expression .. expression
   ;

There are two forms of for statements:

  • Basic 3-clause for statements with initialization, condition, and update.

  • for-in statements that iterate over a range, list, or header stack.

A break; statement may be executed in a loop body to immediately exit the loop, without executing the rest of the body or the update statements. break; statements are explained in detail in Section 13.11.

A continue; statement may be executed in a loop body to skip the rest of the current loop body, executing the update statements and then evaluating the condition to either execute the loop body again, or terminate the loop. continue; statements are explained in detail in Section 13.12.

The scope of any declaration in a for statement is limited to the for statement and its body.

After type checking, a for statement has the form:

forStatementIR
   : annotationList FOR
       `( forInitStatementListIR ; typedExpressionIR ; forUpdateStatementListIR )
       statementIR
   | annotationList FOR `( typeIR nameIR IN forCollectionExpressionIR )
       statementIR
   | annotationList FOR
       `( annotationList typeIR nameIR IN forCollectionExpressionIR )
       statementIR
   ;

13.10.1. 3-clause for statements

The basic 3-clause for statement is similar to a C for statement. The init statements will be executed prior to executing the loop. The condition will be evaluated before each iteration, to determine if the loop should exit. If the condition is false, the loop will exit without executing any statements from the loop body or update. The update statements will be executed after the loop body and before evaluating the condition again for the next iteration.

13.10.1.1. Type checking

After type checking, a 3-clause for statement has the form:

forStatementIR
   : annotationList FOR
       `( forInitStatementListIR ; typedExpressionIR ; forUpdateStatementListIR )
       statementIR
   | annotationList FOR `( typeIR nameIR IN forCollectionExpressionIR )
       statementIR
   | annotationList FOR
       `( annotationList typeIR nameIR IN forCollectionExpressionIR )
       statementIR
   ;

forInitStatementListIR = forInitStatementIR*

forInitStatementIR
   : annotationList typeIR nameIR initializerOptIR
   | forUpdateStatementIR
   ;

forUpdateStatementListIR = forUpdateStatementIR*

forUpdateStatementIR
   : callableTargetIR `< typeArgumentListIR > `( argumentListIR )
   | typedLvalueIR assignop typedExpressionIR
   ;
Click to view the specification source
rulegroup Stmt_ok/forStatement-three-clause:
  rule Stmt_ok/forStatement-three-clause:
  LOCAL TC_0 f l |- annotationList FOR `(forInitStatementList ; expression ; forUpdateStatementList) statement : TC_0 f_post forStatementIR
 -- if TC_1 = $enter_t(TC_0)
 -- ForInitStmtList_ok: TC_1 |- forInitStatementList : TC_2 forInitStatementIR*
 -- Expr_ok: LOCAL TC_2 |- expression : typedExpressionIR
 -- if typeIR = $type_of_typedExpressionIR(typedExpressionIR)
 -- if BOOL = $unroll_typeIR(typeIR)
 -- ForUpdateStmtList_ok: TC_2 |- forUpdateStatementList : forUpdateStatementIR*
 -- Stmt_ok: LOCAL TC_2 f LOOP |- statement : TC_3 f_post statementIR
 -- if TC_4 = $exit_t(TC_3)
 -- if forStatementIR = annotationList FOR `(forInitStatementIR* ; typedExpressionIR ; forUpdateStatementIR*) statementIR
  1. Let TC1 be TC with a new local frame.

  2. Let context TC2 and forInitStatementIR* be

  3. Let typedExpressionIR be

  4. Let typeIR be the type of typedExpressionIR.

  5. Check that BOOL is equal to typeIR with typedefs unrolled.

  6. Let forUpdateStatementIR* be

  7. Let context TC3, abstract control flow fpost, and statementIR be

  8. Let TC4 be TC3 with the innermost frame removed.

  9. Let forStatementIR be annotationList FOR ( forInitStatementIR* ; typedExpressionIR ; forUpdateStatementIR* ) statementIR.

  10. Result in context TC, abstract control flow fpost, and forStatementIR.

A list of initialization statements are type checked with the relation:

Click to view the specification source
relation ForInitStmtList_ok: typingContext |- forInitStatementList : typingContext forInitStatementIR*

This relation invokes the following relation for each initialization statement:

Click to view the specification source
relation ForInitStmt_ok: typingContext |- forInitStatement : typingContext forInitStatementIR
Click to view the specification source
rulegroup ForInitStmt_ok:
  rule ForInitStmt_ok/variableDeclaration-non-initializer:
  TC_0 |- annotationList type name `EMPTY : TC_1 (annotationList typeIR nameIR eps)
 -- Type_ok: LOCAL TC_0 |- type : typeIR # eps
 -- Type_wf: $bound(LOCAL, TC_0) |- typeIR
 -- if $is_assignable_typeIR(typeIR)
 -- if nameIR = $name(name)
 -- if TC_1 = $add_var_t(LOCAL, TC_0, nameIR, INOUT typeIR DYN eps)
  rule ForInitStmt_ok/variableDeclaration-initializer:
  TC_0 |- annotationList type name (= expression_init) : TC_1 (annotationList typeIR nameIR (= typedExpressionIR_init_cast))
 -- Type_ok: LOCAL TC_0 |- type : typeIR # eps
 -- Type_wf: $bound(LOCAL, TC_0) |- typeIR
 -- if $is_assignable_typeIR(typeIR)
 -- Expr_ok: LOCAL TC_0 |- expression_init : typedExpressionIR_init
 -- if typedExpressionIR_init_cast = $cast_unary(typedExpressionIR_init, typeIR)
 -- if nameIR = $name(name)
 -- if TC_1 = $add_var_t(LOCAL, TC_0, nameIR, INOUT typeIR DYN eps)
  rule ForInitStmt_ok/forUpdateStatement:
  TC |- forUpdateStatement : TC forUpdateStatementIR
 -- ForUpdateStmt_ok: TC |- forUpdateStatement : forUpdateStatementIR
  1. If let annotationList type name initializerOpt be forInitStatement:

    1. If initializerOpt is `EMPTY:

      1. Let typeIR and fresh type variables typeId* be

      2. Check that typeId* is an empty list.

      3. Let bound be bound type variables from the LOCAL layer of typingContext.

      4. Check that typeIR is a well-formed type, with bound type variables bound.

      5. Check that typeIR supports assignment.

      6. Let nameIR be the name of name.

      7. Let TC1 be typingContext where nameIR to INOUT typeIR DYN · is added to the LOCAL layer.

      8. Result in context TC1 and annotationList typeIR nameIR ·.

    2. Else:

      1. Let = expressioninit be initializerOpt.

      2. Let typeIR and fresh type variables typeId* be

      3. Check that typeId* is an empty list.

      4. Let bound be bound type variables from the LOCAL layer of typingContext.

      5. Check that typeIR is a well-formed type, with bound type variables bound.

      6. Check that typeIR supports assignment.

      7. Let typedExpressionIRinit be

      8. Let typedExpressionIRinit_cast be ! typedExpressionIRinit implicitly cast to typeIR.

      9. Let nameIR be the name of name.

      10. Let TC1 be typingContext where nameIR to INOUT typeIR DYN · is added to the LOCAL layer.

      11. Result in context TC1 and annotationList typeIR nameIR = typedExpressionIRinit_cast.

  2. Else:

    1. Let forUpdateStatement be forInitStatement.

    2. Let forUpdateStatementIR be

    3. Result in context typingContext and forUpdateStatementIR.

A list of update statements are type checked with the relation:

Click to view the specification source
relation ForUpdateStmtList_ok: typingContext |- forUpdateStatementList : forUpdateStatementIR*

This relation invokes the following relation for each update statement:

Click to view the specification source
relation ForUpdateStmt_ok: typingContext |- forUpdateStatement : forUpdateStatementIR
Click to view the specification source
rulegroup ForUpdateStmt_ok:
  rule ForUpdateStmt_ok/call-no-typeArgumentList:
  TC |- lvalue_callable `(argumentList) : callableTargetIR `<typeArgumentIR*> `(argumentIR*)
 -- Stmt_ok: LOCAL TC CONT NOLOOP |- lvalue_callable `(argumentList) ; : _ _ (callableTargetIR `<typeArgumentIR*> `(argumentIR*) ;)
  rule ForUpdateStmt_ok/call-typeArgumentList:
  TC |- lvalue_callable `<typeArgumentList> `(argumentList) : callableTargetIR `<typeArgumentIR*> `(argumentIR*)
 -- Stmt_ok: LOCAL TC CONT NOLOOP |- lvalue_callable `<typeArgumentList> `(argumentList) ; : _ _ (callableTargetIR `<typeArgumentIR*> `(argumentIR*) ;)
  rule ForUpdateStmt_ok/assign:
  TC |- lvalue assignop expression : typedLvalueIR assignop typedExpressionIR
 -- Stmt_ok: LOCAL TC CONT NOLOOP |- lvalue assignop expression ; : _ _ (typedLvalueIR assignop typedExpressionIR ;)
  1. If let lvaluecallable ( argumentList ) be forUpdateStatement:

    1. Let context _, abstract control flow _, and statementIR be

    2. Check that statementIR has type callStatementIR.

    3. Let callableTargetIR < typeArgumentIR* > ( argumentIR* ) ; be statementIR.

    4. Result in callableTargetIR < typeArgumentIR* > ( argumentIR* ).

  2. Else if let lvaluecallable < typeArgumentList > ( argumentList ) be forUpdateStatement:

    1. Let context _, abstract control flow _, and statementIR be

    2. Check that statementIR has type callStatementIR.

    3. Let callableTargetIR < typeArgumentIR* > ( argumentIR* ) ; be statementIR.

    4. Result in callableTargetIR < typeArgumentIR* > ( argumentIR* ).

  3. Else:

    1. Let lvalue assignop expression be forUpdateStatement.

    2. Let context _, abstract control flow _, and statementIR be

    3. Check that statementIR has type assignmentStatementIR.

    4. Let typedLvalueIR assignop' typedExpressionIR ; be statementIR.

    5. Check that assignop' is equal to assignop.

    6. Result in typedLvalueIR assignop typedExpressionIR.

13.10.1.2. Compile-time evaluation
Click to view the specification source
rulegroup Stmt_inst/forStatementIR-three-clause:
  rule Stmt_inst/forStatementIR-three-clause:
  p IC STO_0 |- annotationList FOR `(forInitStatementListIR ; typedExpressionIR ; forUpdateStatementListIR) statementIR : IC STO_1 forStatementIR
 -- Stmt_inst: p IC STO_0 |- statementIR : IC_body STO_1 statementIR_body
 -- if forStatementIR = annotationList FOR `(forInitStatementListIR ; typedExpressionIR ; forUpdateStatementListIR) statementIR_body
  1. Let context ICbody, store STO1, and statementIRbody be

  2. Let forStatementIR' be annotationList FOR ( forInitStatementListIR ; typedExpressionIR ; forUpdateStatementListIR ) statementIRbody.

  3. Result in context IC, store STO1, and forStatementIR'.

13.10.1.3. Runtime evaluation
Click to view the specification source
rulegroup Stmt_eval/forStatementIR-three-clause:
  rule Stmt_eval/init-abort:
  LOCAL EC_0 ARCH_0 |- annotationList FOR `(forInitStatementListIR ; typedExpressionIR ; forUpdateStatementListIR) statementIR : EC_3 ARCH_1 abortResult
 -- if EC_1 = $enter_e(EC_0)
 -- ForInitStmts_eval: EC_1 ARCH_0 |- forInitStatementListIR : EC_2 ARCH_1 abortResult
 -- if EC_3 = $exit_e(EC_2)
  rule Stmt_eval/init-cont:
  LOCAL EC_0 ARCH_0 |- annotationList FOR `(forInitStatementListIR ; typedExpressionIR ; forUpdateStatementListIR) statementIR : EC_4 ARCH_2 statementResult
 -- if EC_1 = $enter_e(EC_0)
 -- ForInitStmts_eval: EC_1 ARCH_0 |- forInitStatementListIR : EC_2 ARCH_1 `EMPTY
 -- ForThreeClauseStmt_eval: EC_2 ARCH_1 |- typedExpressionIR statementIR forUpdateStatementListIR : EC_3 ARCH_2 statementResult
 -- if EC_4 = $exit_e(EC_3)
  1. Let EC1 be EC with a new local frame.

  2. Let the updated evaluation context EC2, state ARCH1, and statementResult be

  3. If let abortResult be statementResult:

    1. Let EC3 be EC2 with the innermost frame removed.

    2. Result in context EC3, state ARCH1, and abortResult.

  4. Else if let continueEmptyResult be statementResult:

    1. Let the updated evaluation context EC3, state ARCH2, and statementResult' be

    2. Let EC4 be EC3 with the innermost frame removed.

    3. Result in context EC4, state ARCH2, and statementResult'.

A list of initialization statements is evaluated with the relation:

Click to view the specification source
relation ForInitStmts_eval: evalContext arch |- forInitStatementListIR : evalContext arch statementResult

An initialization statement is evaluated with the relation:

Click to view the specification source
relation ForInitStmt_eval: evalContext arch |- forInitStatementIR : evalContext arch statementResult
Click to view the specification source
rulegroup ForInitStmt_eval:
  rule ForInitStmt_eval/variableDeclarationIR-non-initializer:
  EC_0 ARCH |- annotationList typeIR nameIR eps : EC_1 ARCH `EMPTY
 -- if typeIR_subst = $subst_type_e(LOCAL, EC_0, typeIR)
 -- if value_init = $default(typeIR_subst)
 -- if EC_1 = $add_var_e(LOCAL, EC_0, ` nameIR, value_init)
  rule ForInitStmt_eval/variableDeclarationIR-initializer-abort:
  EC_0 ARCH_0 |- annotationList typeIR nameIR (= typedExpressionIR_init) : EC_1 ARCH_1 abortResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR_init : EC_1 ARCH_1 abortResult
  rule ForInitStmt_eval/variableDeclarationIR-initializer-cont:
  EC_0 ARCH_0 |- annotationList typeIR nameIR (= typedExpressionIR_init) : EC_2 ARCH_1 `EMPTY
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR_init : EC_1 ARCH_1 (` value_init)
 -- if EC_2 = $add_var_e(LOCAL, EC_1, ` nameIR, value_init)
  rule ForInitStmt_eval/forUpdateStatementIR:
  EC_0 ARCH_0 |- forUpdateStatementIR : EC_1 ARCH_1 statementResult
 -- ForUpdateStmt_eval: EC_0 ARCH_0 |- forUpdateStatementIR : EC_1 ARCH_1 statementResult
  1. If let annotationList typeIR nameIR initializerIR? be forInitStatementIR:

    1. If initializerIR? is none:

      1. Let typeIRsubst be typeIR substituted by bound type variables in EC0 from the LOCAL layer.

      2. Let valueinit be the default value for type typeIRsubst.

      3. Let EC1 be EC0 where nameIR to valueinit is added to the LOCAL layer.

      4. Result in

        • the updated evaluation context EC1, state arch, and `EMPTY.

    2. Let annotationList typeIR nameIR initializerOptIR be forInitStatementIR.

    3. If let = typedExpressionIRinit be initializerOptIR:

      1. Let context EC1, state ARCH1 and expressionResult be

      2. If let abortResult be expressionResult:

        1. Result in

          • the updated evaluation context EC1, state ARCH1, and abortResult.

      3. Else:

        1. Let valueinit be expressionResult.

        2. Let EC2 be EC1 where nameIR to valueinit is added to the LOCAL layer.

        3. Result in

          • the updated evaluation context EC2, state ARCH1, and `EMPTY.

  2. Else:

    1. Let forUpdateStatementIR be forInitStatementIR.

    2. Let the updated evaluation context EC1, state ARCH1, and statementResult be

    3. Result in

      • the updated evaluation context EC1, state ARCH1, and statementResult.

A list of update statements is evaluated with the relation:

Click to view the specification source
relation ForUpdateStmts_eval: evalContext arch |- forUpdateStatementListIR : evalContext arch statementResult

An update statement is evaluated with the relation:

Click to view the specification source
relation ForUpdateStmt_eval: evalContext arch |- forUpdateStatementIR : evalContext arch statementResult
Click to view the specification source
rulegroup ForUpdateStmt_eval:
  rule ForUpdateStmt_eval/call:
  EC_0 ARCH_0 |- callableTargetIR `<typeArgumentListIR> `(argumentListIR) : EC_1 ARCH_1 statementResult
 -- Stmt_eval: LOCAL EC_0 ARCH_0 |- callableTargetIR `<typeArgumentListIR> `(argumentListIR) ; : EC_1 ARCH_1 statementResult
  rule ForUpdateStmt_eval/assign:
  EC_0 ARCH_0 |- typedLvalueIR assignop typedExpressionIR : EC_1 ARCH_1 statementResult
 -- Stmt_eval: LOCAL EC_0 ARCH_0 |- typedLvalueIR assignop typedExpressionIR ; : EC_1 ARCH_1 statementResult
  1. If let callableTargetIR < typeArgumentListIR > ( argumentListIR ) be forUpdateStatementIR:

    1. Let context EC1, state ARCH1, and statementResult be

    2. Result in

      • the updated evaluation context EC1, state ARCH1, and statementResult.

  2. Else:

    1. Let typedLvalueIR assignop typedExpressionIR be forUpdateStatementIR.

    2. Let context EC1, state ARCH1, and statementResult be

    3. Result in

      • the updated evaluation context EC1, state ARCH1, and statementResult.

With these, the 3-clause for statement is evaluated with the relation:

Click to view the specification source
relation ForThreeClauseStmt_eval: evalContext arch |- typedExpressionIR statementIR forUpdateStatementListIR : evalContext arch statementResult
Click to view the specification source
rulegroup ForThreeClauseStmt_eval:
  rule ForThreeClauseStmt_eval/cond-abort:
  EC_0 ARCH_0 |- typedExpressionIR statementIR forUpdateStatementListIR : EC_1 ARCH_1 abortResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 abortResult
  rule ForThreeClauseStmt_eval/cond-false:
  EC_0 ARCH_0 |- typedExpressionIR statementIR forUpdateStatementListIR : EC_1 ARCH_1 `EMPTY
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` (`B false))
  rule ForThreeClauseStmt_eval/cond-true-loop-abort:
  EC_0 ARCH_0 |- typedExpressionIR statementIR forUpdateStatementListIR : EC_2 ARCH_2 abortResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` (`B true))
 -- Stmt_eval: LOCAL EC_1 ARCH_1 |- statementIR : EC_2 ARCH_2 abortResult
  rule ForThreeClauseStmt_eval/cond-true-loop-return:
  EC_0 ARCH_0 |- typedExpressionIR statementIR forUpdateStatementListIR : EC_2 ARCH_2 returnResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` (`B true))
 -- Stmt_eval: LOCAL EC_1 ARCH_1 |- statementIR : EC_2 ARCH_2 returnResult
  rule ForThreeClauseStmt_eval/cond-true-loop-break:
  EC_0 ARCH_0 |- typedExpressionIR statementIR forUpdateStatementListIR : EC_2 ARCH_2 `EMPTY
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` (`B true))
 -- Stmt_eval: LOCAL EC_1 ARCH_1 |- statementIR : EC_2 ARCH_2 BREAK
  rule ForThreeClauseStmt_eval/cond-true-loop-cont-update-exit:
  EC_0 ARCH_0 |- typedExpressionIR statementIR forUpdateStatementListIR : EC_3 ARCH_3 EXIT
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` (`B true))
 -- Stmt_eval: LOCAL EC_1 ARCH_1 |- statementIR : EC_2 ARCH_2 statementResult_loop
 -- if statementResult_loop = `EMPTY \/ statementResult_loop = CONTINUE
 -- ForUpdateStmts_eval: EC_2 ARCH_2 |- forUpdateStatementListIR : EC_3 ARCH_3 EXIT
  rule ForThreeClauseStmt_eval/cond-true-loop-cont-update-cont:
  EC_0 ARCH_0 |- typedExpressionIR statementIR forUpdateStatementListIR : EC_4 ARCH_4 statementResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` (`B true))
 -- Stmt_eval: LOCAL EC_1 ARCH_1 |- statementIR : EC_2 ARCH_2 statementResult_loop
 -- if statementResult_loop = `EMPTY \/ statementResult_loop = CONTINUE
 -- ForUpdateStmts_eval: EC_2 ARCH_2 |- forUpdateStatementListIR : EC_3 ARCH_3 `EMPTY
 -- ForThreeClauseStmt_eval: EC_3 ARCH_3 |- typedExpressionIR statementIR forUpdateStatementListIR : EC_4 ARCH_4 statementResult
  1. Let context EC1, state ARCH1 and expressionResult be

  2. If let abortResult be expressionResult:

    1. Result in

      • the updated evaluation context EC1, state ARCH1, and abortResult.

  3. If expressionResult is equal to `B false:

    1. Result in

      • the updated evaluation context EC1, state ARCH1, and `EMPTY.

  4. Else if expressionResult is equal to `B true:

    1. Let context EC2, state ARCH2, and statementResult be

    2. If let abortResult be statementResult:

      1. Result in

        • the updated evaluation context EC2, state ARCH2, and abortResult.

    3. Else if let returnResult be statementResult:

      1. Result in

        • the updated evaluation context EC2, state ARCH2, and returnResult.

    4. Else if let forBreakResult be statementResult:

      1. Result in

        • the updated evaluation context EC2, state ARCH2, and `EMPTY.

    5. If statementResult is equal to `EMPTY or statementResult is equal to CONTINUE:

      1. Let the updated evaluation context EC3, state ARCH3, and statementResult' be

      2. If let exitResult be statementResult':

        1. Result in

          • the updated evaluation context EC3, state ARCH3, and EXIT.

      3. Else if let continueEmptyResult be statementResult':

        1. Let the updated evaluation context EC4, state ARCH4, and statementResult'' be

        2. Result in

          • the updated evaluation context EC4, state ARCH4, and statementResult''.

13.10.2. for-in statements

The for-in statement executes the body once for each value in a range or each element in a list expression or header stack. The list or range expression itself will only be evaluated once, before the first iteration of the loop. All side effects in the list or range expression will occur before the first iteration of the loop body.

13.10.2.1. Type checking

After type checking, a for-in statement has the form:

forStatementIR
   : annotationList FOR
       `( forInitStatementListIR ; typedExpressionIR ; forUpdateStatementListIR )
       statementIR
   | annotationList FOR `( typeIR nameIR IN forCollectionExpressionIR )
       statementIR
   | annotationList FOR
       `( annotationList typeIR nameIR IN forCollectionExpressionIR )
       statementIR
   ;

forCollectionExpressionIR
   : typedExpressionIR
   | typedExpressionIR .. typedExpressionIR
   ;
Click to view the specification source
rulegroup Stmt_ok/forStatement-in:
  rule Stmt_ok/no-annotations:
  LOCAL TC_0 f l |- annotationList FOR `(type name IN forCollectionExpression) statement : TC_0 f_post forStatementIR
 -- Type_ok: LOCAL TC_0 |- type : typeIR # eps
 -- Type_wf: $bound(LOCAL, TC_0) |- typeIR
 -- if $is_assignable_typeIR(typeIR)
 -- ForCollectionExpr_ok: TC_0 typeIR |- forCollectionExpression : forCollectionExpressionIR
 -- if TC_1 = $enter_t(TC_0)
 -- if nameIR = $name(name)
 -- if TC_2 = $add_var_t(LOCAL, TC_1, nameIR, INOUT typeIR DYN eps)
 -- Stmt_ok: LOCAL TC_2 f LOOP |- statement : TC_3 f_post statementIR
 -- if TC_4 = $exit_t(TC_3)
 -- if forStatementIR = annotationList FOR `(typeIR nameIR IN forCollectionExpressionIR) statementIR
  rule Stmt_ok/annotations:
  LOCAL TC_0 f l |- annotationList FOR `(annotationListNonEmpty type name IN forCollectionExpression) statement : TC_0 f_post forStatementIR
 -- Stmt_ok: LOCAL TC_0 f l |- annotationList FOR `(type name IN forCollectionExpression) statement : TC_1 f_post forStatementIR
  1. If let annotationList FOR ( type name IN forCollectionExpression ) statement' be forStatement:

    1. Let typeIR and fresh type variables typeId* be

    2. Check that typeId* is an empty list.

    3. Let bound be bound type variables from the LOCAL layer of TC.

    4. Check that typeIR is a well-formed type, with bound type variables bound.

    5. Check that typeIR supports assignment.

    6. Let forCollectionExpressionIR be

    7. Let TC1 be TC with a new local frame.

    8. Let nameIR be the name of name.

    9. Let TC2 be TC1 where nameIR to INOUT typeIR DYN · is added to the LOCAL layer.

    10. Let context TC3, abstract control flow fpost, and statementIR be

    11. Let TC4 be TC3 with the innermost frame removed.

    12. Let forStatementIR be annotationList FOR ( typeIR nameIR IN forCollectionExpressionIR ) statementIR.

    13. Result in context TC, abstract control flow fpost, and forStatementIR.

  2. Else if let annotationList FOR ( annotationListNonEmpty type name IN forCollectionExpression ) statement' be forStatement:

    1. Let context TC1, abstract control flow fpost, and statementIR be

    2. Check that statementIR has type forStatementIR.

    3. Let forStatementIR be statementIR.

    4. Result in context TC, abstract control flow fpost, and forStatementIR.

Collection expressions are type checked with the relation:

Click to view the specification source
relation ForCollectionExpr_ok: typingContext typeIR |- forCollectionExpression : forCollectionExpressionIR
Click to view the specification source
rulegroup ForCollectionExpr_ok:
  rule ForCollectionExpr_ok/list:
  TC typeIR_var |- expression : typedExpressionIR
 -- Expr_ok: LOCAL TC |- expression : typedExpressionIR
 -- if typeIR_expression = $type_of_typedExpressionIR(typedExpressionIR)
 -- if LIST `<typeIR_e> = $unroll_typeIR(typeIR_expression)
 -- Cast_impl: typeIR_e -> typeIR_var
  rule ForCollectionExpr_ok/header-stack:
  TC typeIR_var |- expression : typedExpressionIR
 -- Expr_ok: LOCAL TC |- expression : typedExpressionIR
 -- if typeIR_expression = $type_of_typedExpressionIR(typedExpressionIR)
 -- if typeIR_e `[_] = $unroll_typeIR(typeIR_expression)
 -- Type_alpha: typeIR_e ~~ typeIR_var
  rule ForCollectionExpr_ok/range:
  TC typeIR_var |- expression_l .. expression_r : typedExpressionIR_l_casted .. typedExpressionIR_r_casted
 -- Expr_ok: LOCAL TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: LOCAL TC |- expression_r : typedExpressionIR_r
 -- if typedExpressionIR_l_casted = $cast_unary(typedExpressionIR_l, typeIR_var)
 -- if typedExpressionIR_r_casted = $cast_unary(typedExpressionIR_r, typeIR_var)
 -- if typeIR_l = $type_of_typedExpressionIR(typedExpressionIR_l_casted)
 -- if typeIR_r = $type_of_typedExpressionIR(typedExpressionIR_r_casted)
 -- if $compat_range(typeIR_l, typeIR_r)
  1. If let expression be forCollectionExpression:

    1. Let typedExpressionIR be

    2. Let typeIRexpression be the type of typedExpressionIR.

    3. Let typeIR be typeIRexpression with typedefs unrolled.

    4. If let LIST < typeIRe > be typeIR:

      1. Check that typeIRe can be implicitly cast to typeIRvar.

      2. Result in typedExpressionIR.

    5. Else if let typeIRe [ _ ] be typeIR:

      1. Check that typeIRe and typeIRvar are the same type.

      2. Result in typedExpressionIR.

  2. Else:

    1. Let expressionl .. expressionr be forCollectionExpression.

    2. Let typedExpressionIRl be

    3. Let typedExpressionIRr be

    4. Let typedExpressionIRl_casted be ! typedExpressionIRl implicitly cast to typeIRvar.

    5. Let typedExpressionIRr_casted be ! typedExpressionIRr implicitly cast to typeIRvar.

    6. Let typeIRl be the type of typedExpressionIRl_casted.

    7. Let typeIRr be the type of typedExpressionIRr_casted.

    8. Check that typeIRl and typeIRr can be used as range bounds.

    9. Result in typedExpressionIRl_casted .. typedExpressionIRr_casted.

13.10.2.2. Compile-time evaluation
Click to view the specification source
rulegroup Stmt_inst/forStatementIR-in:
  rule Stmt_inst/no-annotations:
  p IC STO_0 |- annotationList FOR `(typeIR nameIR IN forCollectionExpressionIR) statementIR : IC STO_1 forStatementIR
 -- Stmt_inst: p IC STO_0 |- statementIR : IC_body STO_1 statementIR_body
 -- if forStatementIR = annotationList FOR `(typeIR nameIR IN forCollectionExpressionIR) statementIR_body
  rule Stmt_inst/annotations:
  p IC STO_0 |- annotationList FOR `(annotationList typeIR nameIR IN forCollectionExpressionIR) statementIR : IC STO_1 forStatementIR
 -- Stmt_inst: p IC STO_0 |- statementIR : IC_body STO_1 statementIR_body
 -- if forStatementIR = annotationList FOR `(annotationList typeIR nameIR IN forCollectionExpressionIR) statementIR_body
  1. If let annotationList FOR ( typeIR nameIR IN forCollectionExpressionIR ) statementIR' be forStatementIR:

    1. Let context ICbody, store STO1, and statementIRbody be

    2. Let forStatementIR' be annotationList FOR ( typeIR nameIR IN forCollectionExpressionIR ) statementIRbody.

    3. Result in context IC, store STO1, and forStatementIR'.

  2. Else if let annotationList FOR ( annotationList' typeIR nameIR IN forCollectionExpressionIR ) statementIR' be forStatementIR:

    1. Check that annotationList is equal to annotationList'.

    2. Let context ICbody, store STO1, and statementIRbody be

    3. Let forStatementIR' be annotationList FOR ( annotationList typeIR nameIR IN forCollectionExpressionIR ) statementIRbody.

    4. Result in context IC, store STO1, and forStatementIR'.

13.10.2.3. Runtime evaluation
Click to view the specification source
rulegroup Stmt_eval/forStatementIR-in:
  rule Stmt_eval/no-annotations-collection-abort:
  LOCAL EC_0 ARCH_0 |- annotationList FOR `(typeIR nameIR IN forCollectionExpressionIR) statementIR : EC_3 ARCH_1 abortResult
 -- if EC_1 = $enter_e(EC_0)
 -- ForCollectionExpr_eval: EC_1 ARCH_0 |- forCollectionExpressionIR : EC_2 ARCH_1 abortResult
 -- if EC_3 = $exit_e(EC_2)
  rule Stmt_eval/no-annotations-collection-loop:
  LOCAL EC_0 ARCH_0 |- annotationList FOR `(typeIR nameIR IN forCollectionExpressionIR) statementIR : EC_5 ARCH_2 statementResult
 -- if EC_1 = $enter_e(EC_0)
 -- ForCollectionExpr_eval: EC_1 ARCH_0 |- forCollectionExpressionIR : EC_2 ARCH_1 (` value*)
 -- if typeIR_subst = $subst_type_e(LOCAL, EC_0, typeIR)
 -- if value_init = $default(typeIR_subst)
 -- if EC_3 = $add_var_e(LOCAL, EC_2, ` nameIR, value_init)
 -- ForInStmt_eval: EC_3 ARCH_1 |- nameIR value* statementIR : EC_4 ARCH_2 statementResult
 -- if EC_5 = $exit_e(EC_4)
  rule Stmt_eval/annotations:
  LOCAL EC_0 ARCH_0 |- annotationList FOR `(annotationList_in typeIR nameIR IN forCollectionExpressionIR) statementIR : EC_1 ARCH_1 statementResult
 -- Stmt_eval: LOCAL EC_0 ARCH_0 |- annotationList FOR `(typeIR nameIR IN forCollectionExpressionIR) statementIR : EC_1 ARCH_1 statementResult
  1. If let annotationList FOR ( typeIR nameIR IN forCollectionExpressionIR ) statementIR' be forStatementIR:

    1. Let EC1 be EC with a new local frame.

    2. Let the updated evaluation context EC2, state ARCH1, and expressionListResult be

    3. If let abortResult be expressionListResult:

      1. Let EC3 be EC2 with the innermost frame removed.

      2. Result in context EC3, state ARCH1, and abortResult.

    4. Else:

      1. Let value* be expressionListResult.

      2. Let typeIRsubst be typeIR substituted by bound type variables in EC from the LOCAL layer.

      3. Let valueinit be the default value for type typeIRsubst.

      4. Let EC3 be EC2 where nameIR to valueinit is added to the LOCAL layer.

      5. Let the updated evaluation context EC4, state ARCH2, and statementResult be

      6. Let EC5 be EC4 with the innermost frame removed.

      7. Result in context EC5, state ARCH2, and statementResult.

  2. Else if let annotationList FOR ( annotationListin typeIR nameIR IN forCollectionExpressionIR ) statementIR' be forStatementIR:

    1. Let context EC1, state ARCH1, and statementResult be

    2. Result in context EC1, state ARCH1, and statementResult.

Collection expressions are evaluated with the relation:

Click to view the specification source
relation ForCollectionExpr_eval: evalContext arch |- forCollectionExpressionIR : evalContext arch expressionListResult
Click to view the specification source
rulegroup ForCollectionExpr_eval:
  rule ForCollectionExpr_eval/abort:
  EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 abortResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 abortResult
  rule ForCollectionExpr_eval/list:
  EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value*)
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` listValue)
 -- if LIST `[value*] = listValue
  rule ForCollectionExpr_eval/header-stack:
  EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value*)
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` headerStackValue)
 -- if HEADER_STACK `[value* `(_ ; _)] = headerStackValue
  1. Let context EC1, state ARCH1 and expressionResult be

  2. If let abortResult be expressionResult:

    1. Result in

      • the updated evaluation context EC1, state ARCH1, and abortResult.

  3. Else:

    1. Let value be expressionResult.

    2. If let listValue be value:

      1. Let LIST [ value'* ] be listValue.

      2. Result in

        • the updated evaluation context EC1, state ARCH1, and value'*.

    3. Else if let headerStackValue be value:

      1. Let HEADER_STACK [ value'* ( _ ; _ ) ] be headerStackValue.

      2. Result in

        • the updated evaluation context EC1, state ARCH1, and value'*.

With these, the for-in statement is evaluated with the relation:

Click to view the specification source
relation ForInStmt_eval: evalContext arch |- nameIR value* statementIR : evalContext arch statementResult
Click to view the specification source
rulegroup ForInStmt_eval:
  rule ForInStmt_eval/nil:
  EC ARCH |- nameIR eps statementIR : EC ARCH `EMPTY
  rule ForInStmt_eval/cons-loop-abort:
  EC_0 ARCH_0 |- nameIR (value_h :: value_t*) statementIR : EC_2 ARCH_1 abortResult
 -- if EC_1 = $update_var_e(LOCAL, EC_0, ` nameIR, value_h)
 -- Stmt_eval: LOCAL EC_1 ARCH_0 |- statementIR : EC_2 ARCH_1 abortResult
  rule ForInStmt_eval/cons-loop-return:
  EC_0 ARCH_0 |- nameIR (value_h :: value_t*) statementIR : EC_2 ARCH_1 returnResult
 -- if EC_1 = $update_var_e(LOCAL, EC_0, ` nameIR, value_h)
 -- Stmt_eval: LOCAL EC_1 ARCH_0 |- statementIR : EC_2 ARCH_1 returnResult
  rule ForInStmt_eval/cons-loop-break:
  EC_0 ARCH_0 |- nameIR (value_h :: value_t*) statementIR : EC_2 ARCH_1 `EMPTY
 -- if EC_1 = $update_var_e(LOCAL, EC_0, ` nameIR, value_h)
 -- Stmt_eval: LOCAL EC_1 ARCH_0 |- statementIR : EC_2 ARCH_1 BREAK
  rule ForInStmt_eval/cons-loop-cont:
  EC_0 ARCH_0 |- nameIR (value_h :: value_t*) statementIR : EC_3 ARCH_2 statementResult
 -- if EC_1 = $update_var_e(LOCAL, EC_0, ` nameIR, value_h)
 -- Stmt_eval: LOCAL EC_1 ARCH_0 |- statementIR : EC_2 ARCH_1 statementResult_loop
 -- if statementResult_loop = `EMPTY \/ statementResult_loop = CONTINUE
 -- ForInStmt_eval: EC_2 ARCH_1 |- nameIR value_t* statementIR : EC_3 ARCH_2 statementResult
  1. If value* is equal to ·:

    1. Result in

      • the updated evaluation context evalContext, state arch, and `EMPTY.

  2. If let valueh :: valuet* be value*:

    1. Let EC1 be evalContext where nameIR is updated to valueh from the LOCAL layer.

    2. Let context EC2, state ARCH1, and statementResult be

    3. If let abortResult be statementResult:

      1. Result in

        • the updated evaluation context EC2, state ARCH1, and abortResult.

    4. Else if let returnResult be statementResult:

      1. Result in

        • the updated evaluation context EC2, state ARCH1, and returnResult.

    5. Else if let forBreakResult be statementResult:

      1. Result in

        • the updated evaluation context EC2, state ARCH1, and `EMPTY.

    6. If statementResult is equal to `EMPTY or statementResult is equal to CONTINUE:

      1. Let the updated evaluation context EC3, state ARCH2, and statementResult' be

      2. Result in

        • the updated evaluation context EC3, state ARCH2, and statementResult'.

13.11. Break statements

A break; statement exists the enclosing for loop.

breakStatement
   : BREAK ;
   ;

13.11.1. Type checking

After type checking, a break; statement has the form:

breakStatementIR = breakStatement
Click to view the specification source
rulegroup Stmt_ok/breakStatement:
  rule Stmt_ok/breakStatement:
  LOCAL TC f LOOP |- breakStatement : TC f breakStatement
  1. Result in context TC, abstract control flow f, and breakStatement.

13.11.2. Compile-time evaluation

Click to view the specification source
rulegroup Stmt_inst/breakStatementIR:
  rule Stmt_inst/breakStatementIR:
  p IC STO |- breakStatementIR : IC STO breakStatementIR
  1. Result in context IC, store STO, and breakStatementIR.

13.11.3. Runtime evaluation

A break; statement yields the result:

forBreakResult
   : BREAK
   ;
Click to view the specification source
rulegroup Stmt_eval/breakStatementIR:
  rule Stmt_eval/breakStatementIR:
  LOCAL EC ARCH |- BREAK ; : EC ARCH BREAK
  1. Result in context EC, state ARCH, and BREAK.

13.12. Continue statements

A continue; statement skips the current iteration of the enclosing for loop.

continueStatement
   : CONTINUE ;
   ;

13.12.1. Type checking

After type checking, a continue; statement has the form:

continueStatementIR = continueStatement
Click to view the specification source
rulegroup Stmt_ok/continueStatement:
  rule Stmt_ok/continueStatement:
  LOCAL TC f LOOP |- continueStatement : TC f continueStatement
  1. Result in context TC, abstract control flow f, and continueStatement.

13.12.2. Compile-time evaluation

Click to view the specification source
rulegroup Stmt_inst/continueStatementIR:
  rule Stmt_inst/continueStatementIR:
  p IC STO |- continueStatementIR : IC STO continueStatementIR
  1. Result in context IC, store STO, and continueStatementIR.

13.12.3. Runtime evaluation

A continue; statement yields the result:

forContinueResult
   : CONTINUE
   ;
Click to view the specification source
rulegroup Stmt_eval/continueStatementIR:
  rule Stmt_eval/continueStatementIR:
  LOCAL EC ARCH |- CONTINUE ; : EC ARCH CONTINUE
  1. Result in context EC, state ARCH, and CONTINUE.

13.13. Switch statements

The switch statement can only be used within control blocks, action bodies, or function bodies.

switchStatement
   : SWITCH `( expression ) `{ switchCaseList }
   ;

switchCaseList
   : /* empty */
   | switchCaseList switchCase
   ;

switchCase
   : switchLabel : blockStatement
   | switchLabel :
   ;

switchLabel
   : DEFAULT
   | expressionNonBrace
   ;

The expressionNonBrace is the same as expression as defined in Chapter 14, except it does not include any cases that can begin with a left brace { character, to avoid syntactic ambiguity with a block statement.

There are two kinds of switch expressions allowed, described separately in the following two subsections.

13.13.1. Notes common to all switch statements

It is a compile-time error if two labels of a switch statement equal each other. The switch label values need not include all possible values of the switch expression. It is optional to have a switch case with the default label, but if one is present, it must be the last one in the switch statement.

If a switch label is not followed by a block statement, it falls through to the next label. However, if a block statement is present, it does not fall through. Note that this is different from C-style switch statements, where a break is needed to prevent fall-through. If the last switch label is not followed by a block statement, the behavior is the same as if the last switch label were followed by an empty block statement { }.

When a switch statement is executed, first the switch expression is evaluated, and any side effects from evaluating this expression are visible to any switch case that is executed. Among switch labels that are not default, at most one of them can equal the value of the switch expression. If one is equal, that switch case is executed.

If no labels are equal to the switch expression, then:

  • if there is a default label, the case with the default label is executed.

  • if there is no default label, then no switch case is executed, and execution continues after the end of the switch statement, with no side effects (except any that were caused by evaluating the switch expression).

See "Implementing generalized P4_16 switch statements" for possible techniques that one might use to implement generalized switch statements.[3]

13.13.2. Switch statement on match-action table result

This type of switch statement can only be used within control apply blocks. For this variant of switch statement, the expression must be of the form t.apply().action_run, where t is the name of a table (see Section 16.3.7). All switch labels must be names of actions of the table t, or default.

switch (t.apply().action_run) {
   action1:                         // fall-through to action2:
   action2: { /* body omitted */ }
   action3: { /* body omitted */ }  // no fall-through from action2 to action3 labels
   default: { /* body omitted */ }
}

Note that the default label of the switch statement is used to match on the kind of action executed, no matter whether there was a table hit or miss. The default label does not indicate that the table missed and the default_action was executed.

13.13.2.1. Type checking
Click to view the specification source
rulegroup Stmt_ok/switchStatement-table:
  rule Stmt_ok/switchStatement-table:
  LOCAL TC f l |- SWITCH `(expression_switch) `{switchCaseList} : TC f_post switchStatementIR
 -- Expr_ok: LOCAL TC |- expression_switch : typedExpressionIR_switch
 -- if typeIR_switch = $type_of_typedExpressionIR(typedExpressionIR_switch)
 -- if TABLE_ENUM typeId_table_enum `{_} = $unroll_typeIR(typeIR_switch)
 -- if typeId_table = $strip_prefix($strip_suffix(typeId_table_enum, ")"), "action_list(")
 -- SwitchCaseList_table_ok: TC f l typeId_table |- switchCaseList : f_post switchCaseIR* # switchLabel*
 -- if $check_switchLabel_default(switchLabel*)
 -- if $distinct_<switchLabel>(switchLabel*)
 -- if switchStatementIR = SWITCH `(typedExpressionIR_switch) `{switchCaseIR*}
  1. Let typedExpressionIRswitch be

  2. Let typeIRswitch be the type of typedExpressionIRswitch.

  3. Let typeIR be typeIRswitch with typedefs unrolled.

  4. Check that typeIR has type tableMetadataEnumTypeIR.

  5. Let TABLE_ENUM typeIdtable_enum { _* } be typeIR.

  6. Let text be the text typeIdtable_enum with the suffix ")" removed.

  7. Let typeIdtable be the text text with the prefix "action_list(" removed.

  8. Let abstract control flow fpost, switchCaseIR*, and labels switchLabel* be

  9. Check that default label is only in the last position of switchLabel*.

  10. Check that the elements of switchLabel* are distinct.

  11. Let switchStatementIR be SWITCH ( typedExpressionIRswitch ) { switchCaseIR* }.

  12. Result in context TC, abstract control flow fpost, and switchStatementIR.

Switch cases are type checked with the relation:

Click to view the specification source
relation SwitchCaseList_table_ok: typingContext flow loopctxt typeId |- switchCaseList : flow switchCaseListIR # switchLabel*

A switch case is type checked with:

Click to view the specification source
relation SwitchCase_table_ok: typingContext flow loopctxt typeId |- switchCase : flow switchCaseIR # switchLabel
Click to view the specification source
rulegroup SwitchCase_table_ok:
  rule SwitchCase_table_ok/blockStatement:
  TC f l typeId_table |- switchLabel : blockStatement : f_post switchCaseIR # switchLabel
 -- SwitchLabel_table_ok: TC typeId_table |- switchLabel : switchLabelIR
 -- Block_ok: TC f l |- blockStatement : TC_post f_post blockStatementIR
 -- if switchCaseIR = switchLabelIR : blockStatementIR
  rule SwitchCase_table_ok/non-blockStatement:
  TC f l typeId_table |- switchLabel : : f switchCaseIR # switchLabel
 -- SwitchLabel_table_ok: TC typeId_table |- switchLabel : switchLabelIR
 -- if switchCaseIR = switchLabelIR :
  1. If let switchLabel : blockStatement be switchCase:

    1. Let switchLabelIR be

    2. Let context TCpost, abstract control flow fpost, and blockStatementIR be

    3. Let switchCaseIR be switchLabelIR : blockStatementIR.

    4. Result in abstract control flow fpost and label switchCaseIR.

  2. Else:

    1. Let switchLabel : be switchCase.

    2. Let switchLabelIR be

    3. Let switchCaseIR be switchLabelIR :.

    4. Result in abstract control flow f and label switchCaseIR.

A switch label is type checked with:

Click to view the specification source
relation SwitchLabel_table_ok: typingContext typeId |- switchLabel : switchLabelIR
Click to view the specification source
rulegroup SwitchLabel_table_ok:
  rule SwitchLabel_table_ok/default:
  TC typeId_table |- DEFAULT : DEFAULT
  rule SwitchLabel_table_ok/expressionNonBrace-prefixedNonTypeName:
  TC typeId_table |- prefixedNonTypeName : typedExpressionIR_label
 -- if ` nameIR_label = $prefixedNonTypeName(prefixedNonTypeName)
 -- if typeId_table_enum = $concat_text(["action_list(", typeId_table, ")"])
 -- if id_label = $concat_text([typeId_table_enum, ".", nameIR_label])
 -- if _ typeIR_label ctk_label value_label = $find_var_t(` id_label, LOCAL, TC)
 -- if value_label = TABLE_ENUM typeId_table_enum . nameIR_label
 -- if typedExpressionIR_label = (` nameIR_label) # `(typeIR_label ctk_label)
  1. If switchLabel is DEFAULT:

    1. Result in DEFAULT.

  2. Else if let prefixedNonTypeName be switchLabel:

    1. Let prefixedNameIR be the prefixed name of prefixedNonTypeName.

    2. Check that prefixedNameIR matches pattern ` %.

    3. Let nameIRlabel be prefixedNameIR.

    4. Let typeIdtable_enum be the concatenation of [ "action_list(", typeIdtable, ")" ].

    5. Let idlabel be the concatenation of [ typeIdtable_enum, ".", nameIRlabel ].

    6. Let _ typeIRlabel ctklabel value? be ! the type of variable idlabel from the LOCAL layer of TC.

    7. Check that value? is defined.

    8. Let valuelabel be value?.

    9. Check that valuelabel is equal to TABLE_ENUM typeIdtable_enum . nameIRlabel.

    10. Let typedExpressionIRlabel be nameIRlabel annotated with a pair of type typeIRlabel and compile-time known-ness ctklabel.

    11. Result in typedExpressionIRlabel.

13.13.2.2. Compile-time evaluation
Click to view the specification source
rulegroup Stmt_inst/switchStatementIR:
  rule Stmt_inst/switchStatementIR:
  p IC STO_0 |- SWITCH `(typedExpressionIR) `{switchCaseListIR} : IC STO_1 (SWITCH `(typedExpressionIR) `{switchCaseListIR_inst})
 -- SwitchCases_inst: p IC STO_0 |- switchCaseListIR : STO_1 switchCaseListIR_inst
  1. Let store STO1 and switchCaseListIRinst be

  2. Result in context IC, store STO1, and SWITCH ( typedExpressionIR ) { switchCaseListIRinst }.

The compile-time evaluation of switch cases is defined with the relation:

Click to view the specification source
relation SwitchCases_inst: cursor instContext store |- switchCaseIR* : store switchCaseIR*

A switch case is compile-time evaluated with:

Click to view the specification source
relation SwitchCase_inst: cursor instContext store |- switchCaseIR : store switchCaseIR
Click to view the specification source
rulegroup SwitchCase_inst:
  rule SwitchCase_inst/blockStatementIR:
  p IC STO_0 |- switchLabelIR : blockStatementIR : STO_1 (switchLabelIR : blockStatementIR_inst)
 -- Stmt_inst: p IC STO_0 |- blockStatementIR : IC_switch STO_1 blockStatementIR_inst
  rule SwitchCase_inst/non-blockStatementIR:
  p IC STO |- switchLabelIR : : STO (switchLabelIR :)
  1. If let switchLabelIR : blockStatementIR be switchCaseIR:

    1. Let context ICswitch, store STO1, and statementIR be

    2. Check that statementIR has type blockStatementIR.

    3. Let blockStatementIRinst be statementIR.

    4. Result in store STO1 and switchLabelIR : blockStatementIRinst.

  2. Else:

    1. Let switchLabelIR : be switchCaseIR.

    2. Result in store store and switchLabelIR :.

13.13.2.3. Runtime evaluation
Click to view the specification source
rulegroup Stmt_eval/switchStatementIR-table:
  rule Stmt_eval/target-abort:
  LOCAL EC_0 ARCH_0 |- SWITCH `(typedExpressionIR) `{switchCaseIR*} : EC_1 ARCH_1 abortResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 abortResult
  rule Stmt_eval/target-cont-match:
  LOCAL EC_0 ARCH_0 |- SWITCH `(typedExpressionIR) `{switchCaseIR*} : EC_2 ARCH_2 statementResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value)
 -- if TABLE_ENUM _ . id_enum = value
 -- SwitchCases_table_eval: id_enum |- switchCaseIR* : blockStatementIR
 -- Stmt_eval: LOCAL EC_1 ARCH_1 |- blockStatementIR : EC_2 ARCH_2 statementResult
  rule Stmt_eval/target-cont-no-match:
  LOCAL EC_0 ARCH_0 |- SWITCH `(typedExpressionIR) `{switchCaseIR*} : EC_1 ARCH_1 `EMPTY
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value)
 -- if TABLE_ENUM _ . id_enum = value
 -- SwitchCases_table_eval: id_enum |- switchCaseIR* : eps
  1. Let context EC1, state ARCH1 and expressionResult be

  2. If let abortResult be expressionResult:

    1. Result in context EC1, state ARCH1, and abortResult.

  3. Else:

    1. Let value be expressionResult.

    2. Check that value has type tableMetadataEnumValue.

    3. Let TABLE_ENUM _ . idenum be value.

    4. Let the matched block blockStatementIR? be

    5. If let blockStatementIR' be blockStatementIR?:

      1. Let context EC2, state ARCH2, and statementResult be

      2. Result in context EC2, state ARCH2, and statementResult.

    6. Else:

      1. Result in context EC1, state ARCH1, and `EMPTY.

Switch cases are runtime evaluated with the relation:

Click to view the specification source
relation SwitchCases_table_eval: id |- switchCaseListIR : blockStatementIR?
Click to view the specification source
rulegroup SwitchCases_table_eval:
  rule SwitchCases_table_eval/nil:
  id |- eps : eps
  rule SwitchCases_table_eval/cons-non-fallthrough-match:
  id |- switchCaseIR_h :: switchCaseIR_t* : blockStatementIR_h
 -- if switchLabelIR_h : blockStatementIR_h = switchCaseIR_h
 -- if $match_switchLabelIR_table(id, switchLabelIR_h)
  rule SwitchCases_table_eval/cons-non-fallthrough-no-match:
  id |- switchCaseIR_h :: switchCaseIR_t* : blockStatementIR?
 -- if switchLabelIR_h : blockStatementIR_h = switchCaseIR_h
 -- if ~$match_switchLabelIR_table(id, switchLabelIR_h)
 -- SwitchCases_table_eval: id |- switchCaseIR_t* : blockStatementIR?
  rule SwitchCases_table_eval/cons-fallthrough-match:
  id |- switchCaseIR_h :: switchCaseIR_t* : blockStatementIR
 -- if switchLabelIR_h : = switchCaseIR_h
 -- if $match_switchLabelIR_table(id, switchLabelIR_h)
 -- if (_ : blockStatementIR) :: _ = $filter_<switchCaseIR>(switchCaseIR_t*, $is_non_fallthrough_switchCaseIR(switchCaseIR_t)*)
  rule SwitchCases_table_eval/cons-fallthrough-no-match:
  id |- switchCaseIR_h :: switchCaseIR_t* : blockStatementIR?
 -- if switchLabelIR_h : = switchCaseIR_h
 -- if ~$match_switchLabelIR_table(id, switchLabelIR_h)
 -- SwitchCases_table_eval: id |- switchCaseIR_t* : blockStatementIR?
  1. If switchCaseIR* is equal to ·:

    1. Result in the matched block ·.

  2. If let switchCaseIRh :: switchCaseIRt* be switchCaseIR*:

    1. If let switchLabelIRh : blockStatementIRh be switchCaseIRh:

      1. If id matches switchLabelIRh:

        1. Result in the matched block blockStatementIRh.

      2. Else:

        1. Let the matched block blockStatementIR? be

        2. Result in the matched block blockStatementIR?.

    2. Else:

      1. Let switchLabelIRh : be switchCaseIRh.

      2. If id matches switchLabelIRh:

        1. Let bool* be the list obtained by repeating:

          for each switchCaseIRt in switchCaseIRt*

        2. Let switchCaseIR'* be switchCaseIRt* filtered by bool*.

        3. Check that switchCaseIR'* is a non-empty list.

        4. Let switchCaseIR'' :: _* be switchCaseIR'*.

        5. Check that switchCaseIR'' matches pattern % : %.

        6. Let _ : blockStatementIR be switchCaseIR''.

        7. Result in the matched block blockStatementIR.

      3. Else:

        1. Let the matched block blockStatementIR? be

        2. Result in the matched block blockStatementIR?.

13.13.3. Switch statement on numeric or enumerated type

For this variant of switch statement, the expression must evaluate to a result with one of these types:

  • bit<W>

  • int<W>

  • enum, either with or without an underlying representation specified

  • error

All switch labels must be expressions with compile-time known values, and must have a type that can be implicitly cast to the type of the switch expression (see [sec-implicit-casts]). Switch labels must not begin with a left brace character {, to avoid ambiguity with a block statement.

// Assume the expression hdr.ethernet.etherType has type bit<16>.
switch (hdr.ethernet.etherType) {
   0x86dd: { /* body omitted */ }
   0x0800: // fall-through to the next body
   0x0802: { /* body omitted */ }
   0xcafe: { /* body omitted */ }
   default: { /* body omitted */ }
}
13.13.3.1. Type checking
Click to view the specification source
rulegroup Stmt_ok/switchStatement-general:
  rule Stmt_ok/switchStatement-general:
  LOCAL TC f l |- SWITCH `(expression_switch) `{switchCaseList} : TC f_post switchStatementIR
 -- Expr_ok: LOCAL TC |- expression_switch : typedExpressionIR_switch
 -- if typeIR_switch = $type_of_typedExpressionIR(typedExpressionIR_switch)
 -- if $compat_switch(typeIR_switch)
 -- SwitchCaseList_general_ok: TC f l typeIR_switch |- switchCaseList : f_post switchCaseIR* # switchLabel*
 -- if $check_switchLabel_default(switchLabel*)
 -- if $distinct_<switchLabel>(switchLabel*)
 -- if switchStatementIR = SWITCH `(typedExpressionIR_switch) `{switchCaseIR*}
  1. Let typedExpressionIRswitch be

  2. Let typeIRswitch be the type of typedExpressionIRswitch.

  3. Check that typeIRswitch is a valid switch key type.

  4. Let abstract control flow fpost and labels switchCaseIR* be

  5. Check that default label is only in the last position of switchLabel*.

  6. Check that the elements of switchLabel* are distinct.

  7. Let switchStatementIR be SWITCH ( typedExpressionIRswitch ) { switchCaseIR* }.

  8. Result in context TC, abstract control flow fpost, and switchStatementIR.

Switch cases are type checked with the relation:

Click to view the specification source
relation SwitchCaseList_general_ok: typingContext flow loopctxt typeIR |- switchCaseList : flow switchCaseListIR # switchLabel*

A switch case is type checked with:

Click to view the specification source
relation SwitchCase_general_ok: typingContext flow loopctxt typeIR |- switchCase : flow switchCaseIR # switchLabel
Click to view the specification source
rulegroup SwitchCase_general_ok:
  rule SwitchCase_general_ok/blockStatement:
  TC f l typeIR_switch |- switchLabel : blockStatement : f_post switchCaseIR # switchLabel
 -- SwitchLabel_general_ok: TC typeIR_switch |- switchLabel : switchLabelIR
 -- Block_ok: TC f l |- blockStatement : TC_post f_post blockStatementIR
 -- if switchCaseIR = switchLabelIR : blockStatementIR
  rule SwitchCase_general_ok/non-blockStatement:
  TC f l typeIR_switch |- switchLabel : : f switchCaseIR # switchLabel
 -- SwitchLabel_general_ok: TC typeIR_switch |- switchLabel : switchLabelIR
 -- if switchCaseIR = switchLabelIR :
  1. If let switchLabel : blockStatement be switchCase:

    1. Let switchLabelIR be

    2. Let context TCpost, abstract control flow fpost, and blockStatementIR be

    3. Let switchCaseIR be switchLabelIR : blockStatementIR.

    4. Result in abstract control flow fpost and label switchCaseIR.

  2. Else:

    1. Let switchLabel : be switchCase.

    2. Let switchLabelIR be

    3. Let switchCaseIR be switchLabelIR :.

    4. Result in abstract control flow f and label switchCaseIR.

A switch label is type checked with:

Click to view the specification source
relation SwitchLabel_general_ok: typingContext typeIR |- switchLabel : switchLabelIR
Click to view the specification source
rulegroup SwitchLabel_general_ok:
  rule SwitchLabel_general_ok/default:
  TC _ |- DEFAULT : DEFAULT
  rule SwitchLabel_general_ok/expressionNonBrace:
  TC typeIR_switch |- expressionNonBrace_label : typedExpressionIR_label_cast
 -- if expression_label = $expressionNonBrace_as_expression(expressionNonBrace_label)
 -- Expr_ok: LOCAL TC |- expression_label : typedExpressionIR_label
 -- if typedExpressionIR_label_cast = $cast_unary(typedExpressionIR_label, typeIR_switch)
 -- if _ # `(_ LCTK) = typedExpressionIR_label_cast
  1. If switchLabel is DEFAULT:

    1. Result in DEFAULT.

  2. Else:

    1. Let expressionNonBracelabel be switchLabel.

    2. Let expressionlabel be the expression corresponding to expressionNonBracelabel.

    3. Let typedExpressionIRlabel be

    4. Let typedExpressionIRlabel_cast be ! typedExpressionIRlabel implicitly cast to typeIR.

    5. Let a pair of type _ and compile-time known-ness ctk be the note of typedExpressionIRlabel_cast.

    6. Check that ctk is LCTK.

    7. Result in typedExpressionIRlabel_cast.

13.13.3.2. Compile-time evaluation
13.13.3.3. Runtime evaluation
Click to view the specification source
rulegroup Stmt_eval/switchStatementIR-general:
  rule Stmt_eval/target-abort:
  LOCAL EC_0 ARCH_0 |- SWITCH `(typedExpressionIR) `{switchCaseIR*} : EC_1 ARCH_1 abortResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 abortResult
  rule Stmt_eval/target-cont-match:
  LOCAL EC_0 ARCH_0 |- SWITCH `(typedExpressionIR) `{switchCaseIR*} : EC_3 ARCH_3 statementResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value)
 -- SwitchCases_general_eval: LOCAL EC_1 ARCH_1 value |- switchCaseIR* : EC_2 ARCH_2 blockStatementIR
 -- Stmt_eval: LOCAL EC_2 ARCH_2 |- blockStatementIR : EC_3 ARCH_3 statementResult
  rule Stmt_eval/target-cont-no-match:
  LOCAL EC_0 ARCH_0 |- SWITCH `(typedExpressionIR) `{switchCaseIR*} : EC_2 ARCH_2 `EMPTY
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value)
 -- SwitchCases_general_eval: LOCAL EC_1 ARCH_1 value |- switchCaseIR* : EC_2 ARCH_2 eps
  1. Let context EC1, state ARCH1 and expressionResult be

  2. If let abortResult be expressionResult:

    1. Result in context EC1, state ARCH1, and abortResult.

  3. Else:

    1. Let value be expressionResult.

    2. Let the updated evaluation context EC2, state ARCH2, and blockStatementIR? be

    3. If let blockStatementIR' be blockStatementIR?:

      1. Let context EC3, state ARCH3, and statementResult be

      2. Result in context EC3, state ARCH3, and statementResult.

    4. Else:

      1. Result in context EC2, state ARCH2, and `EMPTY.

Switch cases are runtime evaluated with the relation:

Click to view the specification source
relation SwitchCases_general_eval: cursor evalContext arch value |- switchCaseListIR : evalContext arch blockStatementIR?
Click to view the specification source
rulegroup SwitchCases_general_eval:
  rule SwitchCases_general_eval/nil:
  LOCAL EC_0 ARCH_0 value |- eps : EC_0 ARCH_0 eps
  rule SwitchCases_general_eval/cons-non-fallthrough-match:
  LOCAL EC_0 ARCH_0 value |- (switchCaseIR_h :: switchCaseIR_t*) : EC_1 ARCH_1 blockStatementIR_h
 -- if switchLabelIR_h : blockStatementIR_h = switchCaseIR_h
 -- SwitchLabel_general_eval: LOCAL EC_0 ARCH_0 |- switchLabelIR_h : EC_1 ARCH_1 (` value_label)
 -- if $match_switchLabelIR_general(value, value_label)
  rule SwitchCases_general_eval/cons-non-fallthrough-no-match:
  LOCAL EC_0 ARCH_0 value |- (switchCaseIR_h :: switchCaseIR_t*) : EC_2 ARCH_2 blockStatementIR?
 -- if switchLabelIR_h : blockStatementIR_h = switchCaseIR_h
 -- SwitchLabel_general_eval: LOCAL EC_0 ARCH_0 |- switchLabelIR_h : EC_1 ARCH_1 (` value_label)
 -- if ~$match_switchLabelIR_general(value, value_label)
 -- SwitchCases_general_eval: LOCAL EC_1 ARCH_1 value |- switchCaseIR_t* : EC_2 ARCH_2 blockStatementIR?
  rule SwitchCases_general_eval/cons-fallthrough-match:
  LOCAL EC_0 ARCH_0 value |- (switchCaseIR_h :: switchCaseIR_t*) : EC_1 ARCH_1 blockStatementIR
 -- if switchLabelIR_h : = switchCaseIR_h
 -- SwitchLabel_general_eval: LOCAL EC_0 ARCH_0 |- switchLabelIR_h : EC_1 ARCH_1 (` value_label)
 -- if $match_switchLabelIR_general(value, value_label)
 -- if (_ : blockStatementIR) :: _ = $filter_<switchCaseIR>(switchCaseIR_t*, $is_non_fallthrough_switchCaseIR(switchCaseIR_t)*)
  rule SwitchCases_general_eval/cons-fallthrough-no-match:
  LOCAL EC_0 ARCH_0 value |- (switchCaseIR_h :: switchCaseIR_t*) : EC_2 ARCH_2 blockStatementIR?
 -- if switchLabelIR_h : = switchCaseIR_h
 -- SwitchLabel_general_eval: LOCAL EC_0 ARCH_0 |- switchLabelIR_h : EC_1 ARCH_1 (` value_label)
 -- if ~$match_switchLabelIR_general(value, value_label)
 -- SwitchCases_general_eval: LOCAL EC_1 ARCH_1 value |- switchCaseIR_t* : EC_2 ARCH_2 blockStatementIR?
  1. If switchCaseIR* is equal to ·:

    1. Result in

      • the updated evaluation context EC0, state ARCH0, and ·.

  2. If let switchCaseIRh :: switchCaseIRt* be switchCaseIR*:

    1. If let switchLabelIRh : blockStatementIRh be switchCaseIRh:

      1. Let the updated evaluation context EC1, state ARCH1, and expressionResult be

      2. Check that expressionResult has type continueResult<value>.

      3. Let valuelabel be expressionResult.

      4. If value matches valuelabel:

        1. Result in

          • the updated evaluation context EC1, state ARCH1, and blockStatementIRh.

      5. Else:

        1. Let the updated evaluation context EC2, state ARCH2, and blockStatementIR? be

        2. Result in

          • the updated evaluation context EC2, state ARCH2, and blockStatementIR?.

    2. Else:

      1. Let switchLabelIRh : be switchCaseIRh.

      2. Let the updated evaluation context EC1, state ARCH1, and expressionResult be

      3. Check that expressionResult has type continueResult<value>.

      4. Let valuelabel be expressionResult.

      5. If value matches valuelabel:

        1. Let bool* be the list obtained by repeating:

          for each switchCaseIRt in switchCaseIRt*

        2. Let switchCaseIR'* be switchCaseIRt* filtered by bool*.

        3. Check that switchCaseIR'* is a non-empty list.

        4. Let switchCaseIR'' :: _* be switchCaseIR'*.

        5. Check that switchCaseIR'' matches pattern % : %.

        6. Let _ : blockStatementIR be switchCaseIR''.

        7. Result in

          • the updated evaluation context EC1, state ARCH1, and blockStatementIR.

      6. Else:

        1. Let the updated evaluation context EC2, state ARCH2, and blockStatementIR? be

        2. Result in

          • the updated evaluation context EC2, state ARCH2, and blockStatementIR?.

A switch label is runtime evaluated with:

Click to view the specification source
relation SwitchLabel_general_eval: cursor evalContext arch |- switchLabelIR : evalContext arch expressionResult
Click to view the specification source
rulegroup SwitchLabel_general_eval:
  rule SwitchLabel_general_eval/default:
  LOCAL EC_0 ARCH_0 |- DEFAULT : EC_0 ARCH_0 (` DEFAULT)
  rule SwitchLabel_general_eval/typedExpressionIR:
  LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 expressionResult
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 expressionResult
  1. If switchLabelIR is DEFAULT:

    1. Result in

      • the updated evaluation context EC0, state ARCH0, and DEFAULT.

  2. Else:

    1. Let typedExpressionIR be switchLabelIR.

    2. Let context EC1, state ARCH1 and expressionResult be

    3. Result in

      • the updated evaluation context EC1, state ARCH1, and expressionResult.

14. Expressions

The syntax of expressions is defined as follows:

expression
   : literalExpression
   | referenceExpression
   | defaultExpression
   | unaryExpression
   | binaryExpression
   | ternaryExpression
   | castExpression
   | dataExpression
   | accessExpression
   | callExpression
   | parenthesizedExpression
   ;

14.1. Semantics of expressions

Given a compound expression, the order in which sub-expressions are evaluated is important when the sub-expressions have side-effects. P4 expressions are evaluated as follows:

  • Boolean operators && and || use short-circuit evaluation—​i.e., the second operand is only evaluated if necessary.

  • The conditional operator e1 ? e2 : e3 evaluates e1, and then either evaluates e2 or e3.

  • All other expressions are evaluated left-to-right as they appear in the source program.

  • Method and function calls are evaluated as described in Section 18.4.

14.1.1. Type checking

Click to view the specification source
relation Expr_ok: cursor typingContext |- expression : typedExpressionIR

After type checking, expressions are represented in P4IR as follows:

typedExpressionIR
   : expressionIR # expressionNoteIR
   ;

expressionIR
   : literalExpressionIR
   | referenceExpressionIR
   | defaultExpressionIR
   | unaryExpressionIR
   | binaryExpressionIR
   | ternaryExpressionIR
   | castExpressionIR
   | dataExpressionIR
   | accessExpressionIR
   | callExpressionIR
   | parenthesizedExpressionIR
   ;

expressionNoteIR
   : `( typeIR ctk )
   ;

Notice that after type checking, expressions in P4 are annotated with their types and their compile-time known-ness. See Section 7.5 for more details of compile-time known and local compile-time known values.

The following helper functions are used to fetch the type and compile-time known-ness of an expression:

Click to view the specification source
def $type_of_typedExpressionIR(typedExpressionIR) = typeIR
 -- if _ # `(typeIR _) = typedExpressionIR
  1. Let a pair of type typeIR and compile-time known-ness _ be the note of typedExpressionIR.

  2. Return typeIR.

Click to view the specification source
def $ctk_of_typedExpressionIR(typedExpressionIR) = ctk
 -- if _ # `(_ ctk) = typedExpressionIR

14.1.2. Local compile-time evaluation

Click to view the specification source
relation Expr_eval_lctk: cursor typingContext |- typedExpressionIR ~> value

Local compile-time known expressions are evaluated with the above relation.

14.1.3. Compile-time evaluation

Click to view the specification source
relation Expr_inst: cursor instContext store |- typedExpressionIR : store value

Compile-time known expressions are evaluated with the above relation. A sequence of expressions can be evaluated with the following relation:

Click to view the specification source
relation Exprs_inst: cursor instContext store |- typedExpressionIR* : store value*

A list of expressions is evaluated with the following relation:

Click to view the specification source
relation Exprs_inst: cursor instContext store |- typedExpressionIR* : store value*
Click to view the specification source
rulegroup Exprs_inst:
  rule Exprs_inst/nil:
  p IC STO |- eps : STO eps
  rule Exprs_inst/cons:
  p IC STO_0 |- typedExpressionIR_h :: typedExpressionIR_t* : STO_2 (value_h :: value_t*)
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_h : STO_1 value_h
 -- Exprs_inst: p IC STO_1 |- typedExpressionIR_t* : STO_2 value_t*
  1. If typedExpressionIR* is equal to ·:

    1. Result in store store and ·.

  2. If let typedExpressionIRh :: typedExpressionIRt* be typedExpressionIR*:

    1. Let store STO1 and valueh be

    2. Let store STO2 and valuet* be

    3. Result in store STO2 and valueh :: valuet*.

14.1.4. Runtime evaluation

Click to view the specification source
relation Expr_eval: cursor evalContext arch |- typedExpressionIR : evalContext arch expressionResult

The result of evaluating an expression is represented as follows:

expressionResult
   : continueResult<value>
   | abortResult
   ;

continueResult<X>
   : ` X
   ;

abortResult
   : exitResult
   | rejectTransitionResult
   ;

exitResult
   : EXIT
   ;

rejectTransitionResult
   : REJECT errorValue
   ;

See Section 13.7 and [sec-packet] for more details on exit and reject results.

A list of expressions can be evaluated with the following relation:

Click to view the specification source
relation Exprs_eval: cursor evalContext arch |- typedExpressionIR* : evalContext arch expressionListResult

The result of evaluating a list of expressions is represented as follows:

expressionListResult
   : continueResult<value*>
   | abortResult
   ;
Click to view the specification source
rulegroup Exprs_eval:
  rule Exprs_eval/nil:
  p EC ARCH |- eps : EC ARCH (` eps)
  rule Exprs_eval/cons-head-abort:
  p EC_0 ARCH_0 |- typedExpressionIR_h :: typedExpressionIR_t* : EC_1 ARCH_1 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_h : EC_1 ARCH_1 abortResult
  rule Exprs_eval/cons-head-cont-tail-abort:
  p EC_0 ARCH_0 |- typedExpressionIR_h :: typedExpressionIR_t* : EC_2 ARCH_2 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_h : EC_1 ARCH_1 (` value_h)
 -- Exprs_eval: p EC_1 ARCH_1 |- typedExpressionIR_t* : EC_2 ARCH_2 abortResult
  rule Exprs_eval/cons-head-cont-tail-cont:
  p EC_0 ARCH_0 |- typedExpressionIR_h :: typedExpressionIR_t* : EC_2 ARCH_2 (` (value_h :: value_t*))
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_h : EC_1 ARCH_1 (` value_h)
 -- Exprs_eval: p EC_1 ARCH_1 |- typedExpressionIR_t* : EC_2 ARCH_2 (` value_t*)
  1. If typedExpressionIR* is equal to ·:

    1. Result in context evalContext, state arch and ·.

  2. If let typedExpressionIRh :: typedExpressionIRt* be typedExpressionIR*:

    1. Let context EC1, state ARCH1 and expressionResult be

    2. If let abortResult be expressionResult:

      1. Result in context EC1, state ARCH1 and abortResult.

    3. Else:

      1. Let valueh be expressionResult.

      2. Let context EC2, state ARCH2 and expressionListResult be

      3. If let abortResult be expressionListResult:

        1. Result in context EC2, state ARCH2 and abortResult.

      4. Else:

        1. Let valuet* be expressionListResult.

        2. Result in context EC2, state ARCH2 and valueh :: valuet*.

14.2. Literal expressions

Literal expressions denote fixed values of boolean, numeric, or string types:

literalExpression
   : booleanLiteral
   | integerLiteral
   | stringLiteral
   ;

booleanLiteral
   : TRUE
   | FALSE
   ;

integerLiteral
   : D int
   | nat W int
   | nat S int
   ;

stringLiteral
   : " text "
   ;

14.2.1. Type checking

After type checking, literal expressions have the form:

literalExpressionIR = literalExpression
Click to view the specification source
rulegroup Expr_ok/literalExpression:
  rule Expr_ok/booleanLiteral:
  p TC |- booleanLiteral : booleanLiteral # expressionNoteIR
 -- if expressionNoteIR = `(BOOL LCTK)
  rule Expr_ok/integerLiteral-arbint:
  p TC |- D i : (D i) # expressionNoteIR
 -- if expressionNoteIR = `(INT LCTK)
  rule Expr_ok/integerLiteral-fixint:
  p TC |- n S i : (n S i) # expressionNoteIR
 -- if expressionNoteIR = `((INT `<n>) LCTK)
  rule Expr_ok/integerLiteral-fixbit:
  p TC |- n W i : (n W i) # expressionNoteIR
 -- if expressionNoteIR = `((BIT `<n>) LCTK)
  rule Expr_ok/stringLiteral:
  p TC |- stringLiteral : stringLiteral # expressionNoteIR
 -- if expressionNoteIR = `(STRING LCTK)
  1. If let booleanLiteral be expression:

  2. Else if let integerLiteral be expression:

    1. If let D i be integerLiteral:

    2. Else if let n S i be integerLiteral:

    3. Else:

      1. Let n W i be integerLiteral.

      2. Let expressionNoteIR be a pair of type BIT < n > and compile-time known-ness LCTK.

      3. Result in n W i annotated with expressionNoteIR.

  3. Else if let stringLiteral be expression:

14.2.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/literalExpressionIR:
  rule Expr_eval_lctk/booleanLiteral:
  p TC |- booleanLiteral # _ ~> boolValue
 -- if boolValue = $ite<boolValue>(booleanLiteral = TRUE, `B true, `B false)
  rule Expr_eval_lctk/integerLiteral:
  p TC |- integerLiteral # _ ~> integerLiteral
  rule Expr_eval_lctk/stringLiteral:
  p TC |- stringLiteral # _ ~> stringLiteral
  1. If let booleanLiteral be expressionIR:

    1. Let boolValue be `B true if booleanLiteral is equal to TRUE otherwise `B false.

    2. Result in boolValue.

  2. Else if let integerLiteral be expressionIR:

    1. Result in integerLiteral.

  3. Else if let stringLiteral be expressionIR:

    1. Result in stringLiteral.

14.2.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/literalExpressionIR:
  rule Expr_inst/booleanLiteral:
  p IC STO |- booleanLiteral # _ : STO boolValue
 -- if boolValue = $ite<boolValue>(booleanLiteral = TRUE, `B true, `B false)
  rule Expr_inst/integerLiteral:
  p IC STO |- integerLiteral # _ : STO integerLiteral
  rule Expr_inst/stringLiteral:
  p IC STO |- stringLiteral # _ : STO stringLiteral
  1. If let booleanLiteral be expressionIR:

    1. Let boolValue be `B true if booleanLiteral is equal to TRUE otherwise `B false.

    2. Result in store STO and boolValue.

  2. Else if let integerLiteral be expressionIR:

    1. Result in store STO and integerLiteral.

  3. Else if let stringLiteral be expressionIR:

    1. Result in store STO and stringLiteral.

14.2.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/literalExpressionIR:
  rule Expr_eval/booleanLiteral:
  p EC ARCH |- booleanLiteral # _ : EC ARCH expressionResult
 -- if boolValue = $ite<boolValue>(booleanLiteral = TRUE, `B true, `B false)
 -- if expressionResult = ` boolValue
  rule Expr_eval/integerLiteral:
  p EC ARCH |- integerLiteral # _ : EC ARCH expressionResult
 -- if expressionResult = ` integerLiteral
  rule Expr_eval/stringLiteral:
  p EC ARCH |- stringLiteral # _ : EC ARCH expressionResult
 -- if expressionResult = ` stringLiteral
  1. If let booleanLiteral be expressionIR:

    1. Let boolValue be `B true if booleanLiteral is equal to TRUE otherwise `B false.

    2. Let expressionResult be boolValue.

    3. Result in context EC, state ARCH and expressionResult.

  2. Else if let integerLiteral be expressionIR:

    1. Let expressionResult be integerLiteral.

    2. Result in context EC, state ARCH and expressionResult.

  3. Else if let stringLiteral be expressionIR:

    1. Let expressionResult be stringLiteral.

    2. Result in context EC, state ARCH and expressionResult.

14.3. Reference expressions

A reference expression is an expression that refers to a named entity in a P4 program:

referenceExpression
   : prefixedNonTypeName
   | THIS
   ;

prefixedNonTypeName
   : nonTypeName
   | `ID . nonTypeName
   ;

References are resolved according to the scoping rules of P4 (see Section 6.3).

14.3.1. Type checking

After type checking, a reference expression is represented in P4IR as:

referenceExpressionIR = prefixedNameIR
Click to view the specification source
rulegroup Expr_ok/referenceExpression:
  rule Expr_ok/prefixedNonTypeName:
  p TC |- prefixedNonTypeName : prefixedNameIR # expressionNoteIR
 -- if prefixedNameIR = $prefixedNonTypeName(prefixedNonTypeName)
 -- if _ typeIR ctk _ = $find_var_t(prefixedNameIR, p, TC)
 -- if expressionNoteIR = `(typeIR ctk)
  rule Expr_ok/this:
  p TC |- THIS : prefixedNameIR # expressionNoteIR
 -- if prefixedNameIR = ` "this"
 -- if _ typeIR ctk _ = $find_var_t(prefixedNameIR, p, TC)
 -- if expressionNoteIR = `(typeIR ctk)

A variable is looked up in the typing context with:

Click to view the specification source
def $find_var_t(. id, p, TC) = $find_map<id, varTypeIR>(typeFrame, id)
 -- if typeFrame = TC.GLOBAL.FRAME

def $find_var_t(` id, GLOBAL, TC) = $find_map<id, varTypeIR>(typeFrame, id)
 -- if typeFrame = TC.GLOBAL.FRAME

def $find_var_t(` id, BLOCK, TC) = varTypeIR
 -- if typeFrame = TC.BLOCK.FRAME
 -- if varTypeIR = $find_map<id, varTypeIR>(typeFrame, id)

def $find_var_t(` id, BLOCK, TC) = $find_var_t(` id, GLOBAL, TC)
 -- if typeFrame = TC.BLOCK.FRAME
 -- if eps = $find_map<id, varTypeIR>(typeFrame, id)

def $find_var_t(` id, LOCAL, TC) = varTypeIR
 -- if typeFrame* = TC.LOCAL.FRAMES
 -- if varTypeIR = $find_maps<id, varTypeIR>(typeFrame*, id)

def $find_var_t(` id, LOCAL, TC) = $find_var_t(` id, BLOCK, TC)
 -- if typeFrame* = TC.LOCAL.FRAMES
 -- if eps = $find_maps<id, varTypeIR>(typeFrame*, id)
  1. If let . id be prefixedNameIR:

    1. Let typeFrame be TC.GLOBAL.FRAME.

    2. Return the value of id in map typeFrame.

  2. Else:

    1. Let id be prefixedNameIR.

    2. If p is GLOBAL:

      1. Let typeFrame be TC.GLOBAL.FRAME.

      2. Return the value of id in map typeFrame.

    3. Else if p is BLOCK:

      1. Let typeFrame be TC.BLOCK.FRAME.

      2. Let varTypeIR? be the value of id in map typeFrame.

      3. If let varTypeIR' be varTypeIR?:

        1. Return varTypeIR'.

      4. If · is equal to the value of id in map typeFrame:

    4. Else:

      1. Let typeFrame* be TC.LOCAL.FRAMES.

      2. Let varTypeIR? be the value of id in maps typeFrame*.

      3. If let varTypeIR' be varTypeIR?:

        1. Return varTypeIR'.

      4. If · is equal to the value of id in maps typeFrame*:

14.3.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/referenceExpressionIR:
  rule Expr_eval_lctk/referenceExpressionIR:
  p TC |- prefixedNameIR # _ ~> value
 -- if value = $find_var_value_t(prefixedNameIR, p, TC)

14.3.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/referenceExpressionIR:
  rule Expr_inst/referenceExpressionIR:
  p IC STO |- prefixedNameIR # _ : STO value
 -- if value = $find_var_i(prefixedNameIR, p, IC)

A variable is looked up in the instantiation context with:

Click to view the specification source
def $find_var_i(. id, p, IC) = value
 -- if value = $find_map<id, value>(IC.GLOBAL.FRAME, id)

def $find_var_i(` id, GLOBAL, IC) = value
 -- if value = $find_map<id, value>(IC.GLOBAL.FRAME, id)

def $find_var_i(` id, BLOCK, IC) = value
 -- if value = $find_map<id, value>(IC.BLOCK.FRAME, id)

def $find_var_i(` id, BLOCK, IC) = $find_var_i(` id, GLOBAL, IC)
 -- if eps = $find_map<id, value>(IC.BLOCK.FRAME, id)

def $find_var_i(` id, LOCAL, IC) = value
 -- if value = $find_maps<id, value>(IC.LOCAL.FRAMES, id)

def $find_var_i(` id, LOCAL, IC) = $find_var_i(` id, BLOCK, IC)
 -- if eps = $find_maps<id, value>(IC.LOCAL.FRAMES, id)
  1. If let . id be prefixedNameIR:

    1. Let value' be ! the value of id in map IC.GLOBAL.FRAME.

    2. Return value'.

  2. Else:

    1. Let id be prefixedNameIR.

    2. If p is GLOBAL:

      1. Let value' be ! the value of id in map IC.GLOBAL.FRAME.

      2. Return value'.

    3. Else if p is BLOCK:

      1. Let value? be the value of id in map IC.BLOCK.FRAME.

      2. If let value' be value?:

        1. Return value'.

      3. If · is equal to the value of id in map IC.BLOCK.FRAME:

    4. Else:

      1. Let value? be the value of id in maps IC.LOCAL.FRAMES.

      2. If let value' be value?:

        1. Return value'.

      3. If · is equal to the value of id in maps IC.LOCAL.FRAMES:

14.3.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/referenceExpressionIR:
  rule Expr_eval/referenceExpressionIR:
  p EC ARCH |- prefixedNameIR # _ : EC ARCH expressionResult
 -- if value = $find_var_e(prefixedNameIR, p, EC)
 -- if expressionResult = ` value
  1. Let value be the value of prefixedNameIR from the p layer of EC.

  2. Let expressionResult be value.

  3. Result in context EC, state ARCH and expressionResult.

A variable is looked up in the runtime context with:

Click to view the specification source
def $find_var_e(. id, p, EC) = value
 -- if value = $find_map<id, value>(EC.GLOBAL.FRAME, id)

def $find_var_e(` id, GLOBAL, EC) = value
 -- if value = $find_map<id, value>(EC.GLOBAL.FRAME, id)

def $find_var_e(` id, BLOCK, EC) = value
 -- if value = $find_map<id, value>(EC.BLOCK.FRAME, id)

def $find_var_e(` id, BLOCK, EC) = $find_var_e(` id, GLOBAL, EC)
 -- if eps = $find_map<id, value>(EC.BLOCK.FRAME, id)

def $find_var_e(` id, LOCAL, EC) = value
 -- if value = $find_maps<id, value>(EC.LOCAL.FRAMES, id)

def $find_var_e(` id, LOCAL, EC) = $find_var_e(` id, BLOCK, EC)
 -- if eps = $find_maps<id, value>(EC.LOCAL.FRAMES, id)
  1. If let . id be prefixedNameIR:

    1. Let value' be ! the value of id in map EC.GLOBAL.FRAME.

    2. Return value'.

  2. Else:

    1. Let id be prefixedNameIR.

    2. If p is GLOBAL:

      1. Let value' be ! the value of id in map EC.GLOBAL.FRAME.

      2. Return value'.

    3. Else if p is BLOCK:

      1. Let value? be the value of id in map EC.BLOCK.FRAME.

      2. If let value' be value?:

        1. Return value'.

      3. If · is equal to the value of id in map EC.BLOCK.FRAME:

    4. Else:

      1. Let value? be the value of id in maps EC.LOCAL.FRAMES.

      2. If let value' be value?:

        1. Return value'.

      3. If · is equal to the value of id in maps EC.LOCAL.FRAMES:

14.4. Default expressions

Default expressions provide a way to specify a default value for a type:

defaultExpression
   : ...
   ;

See Section 8.6.1 for more details on default types. When default expressions are cast to a specific type, they evaluate to the default value for that type. See Section 19.3 for more details on default values.

14.4.1. Type checking

After type checking, default expressions have the form:

defaultExpressionIR = defaultExpression
Click to view the specification source
rulegroup Expr_ok/defaultExpression:
  rule Expr_ok/defaultExpression:
  p TC |- ... : ... # expressionNoteIR
 -- if expressionNoteIR = `(DEFAULT LCTK)

14.4.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/defaultExpressionIR:
  rule Expr_eval_lctk/defaultExpressionIR:
  p TC |- ... # _ ~> DEFAULT

14.4.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/defaultExpressionIR:
  rule Expr_inst/defaultExpressionIR:
  p IC STO |- ... # _ : STO DEFAULT

14.4.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/defaultExpressionIR:
  rule Expr_eval/defaultExpressionIR:
  p EC ARCH |- ... # _ : EC ARCH expressionResult
 -- if expressionResult = ` DEFAULT
  1. Let expressionResult be DEFAULT.

  2. Result in context EC, state ARCH and expressionResult.

14.5. Unary expressions

unaryExpression
   : unop expression
   ;

unop
   : !
   | ~
   | -
   | +
   ;

See Section 19.1 for details on how each unary operator is evaluated.

14.5.1. Type checking

After type checking, unary expressions have the form:

unaryExpressionIR
   : unop typedExpressionIR
   ;
14.5.1.1. Negation
Click to view the specification source
rulegroup Expr_ok/unaryExpression-lnot:
  rule Expr_ok/unaryExpression-lnot:
  p TC |- ! expression : (! typedExpressionIR_reduced) # expressionNoteIR
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if typedExpressionIR_reduced = $reduce_serenum_unary(typedExpressionIR, $compat_lnot)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_reduced)
 -- if ctk_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)
14.5.1.2. Bitwise complement
Click to view the specification source
rulegroup Expr_ok/unaryExpression-bnot:
  rule Expr_ok/unaryExpression-bnot:
  p TC |- ~ expression : (~ typedExpressionIR_reduced) # expressionNoteIR
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if typedExpressionIR_reduced = $reduce_serenum_unary(typedExpressionIR, $compat_bnot)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_reduced)
 -- if ctk_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)
14.5.1.3. Plus and minus
Click to view the specification source
rulegroup Expr_ok/unaryExpression-uplusminus:
  rule Expr_ok/unaryExpression-uplusminus:
  p TC |- unop expression : (unop typedExpressionIR_reduced) # expressionNoteIR
 -- if unop = + \/ unop = -
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if typedExpressionIR_reduced = $reduce_serenum_unary(typedExpressionIR, $compat_uplusminus)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_reduced)
 -- if ctk_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)

14.5.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/unaryExpressionIR:
  rule Expr_eval_lctk/unaryExpressionIR:
  p TC |- (unop typedExpressionIR) # _ ~> $un_op(unop, value)
 -- Expr_eval_lctk: p TC |- typedExpressionIR ~> value

14.5.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/unaryExpressionIR:
  rule Expr_inst/unaryExpressionIR:
  p IC STO_0 |- (unop typedExpressionIR) # _ : STO_1 $un_op(unop, value)
 -- Expr_inst: p IC STO_0 |- typedExpressionIR : STO_1 value

14.5.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/unaryExpressionIR:
  rule Expr_eval/abort:
  p EC_0 ARCH_0 |- (unop typedExpressionIR) # _ : EC_1 ARCH_1 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 abortResult
  rule Expr_eval/cont:
  p EC_0 ARCH_0 |- (unop typedExpressionIR) # _ : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value)
 -- if expressionResult = ` $un_op(unop, value)
  1. Let context EC1, state ARCH1 and expressionResult be

  2. If let abortResult be expressionResult:

    1. Result in context EC1, state ARCH1 and abortResult.

  3. Else:

    1. Let value be expressionResult.

    2. Let value' be unop value.

    3. Let expressionResult' be value'.

    4. Result in context EC1, state ARCH1 and expressionResult'.

14.6. Binary expressions

binaryExpression
   : expression binop expression
   ;

binop
   : *
   | /
   | %
   | +
   | -
   | |+|
   | |-|
   | <<
   | >>
   | <=
   | >=
   | <
   | >
   | !=
   | ==
   | &
   | ^
   | |
   | ++
   | &&
   | ||
   ;

See Section 19.2 for details on how each binary operator is evaluated. Note that logical operators (&&, ||) use short-circuit evaluation.

14.6.1. Type checking

14.6.1.1. Plus, minus, and multiplication
Click to view the specification source
rulegroup Expr_ok/binaryExpression-plusminusmult:
  rule Expr_ok/binaryExpression-plusminusmult:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_reduced binop typedExpressionIR_r_reduced) # expressionNoteIR
 -- if binop <- [+, -, *]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l_cast, typedExpressionIR_r_cast, $compat_plusminusmult)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)
14.6.1.2. Saturating plus and minus
Click to view the specification source
rulegroup Expr_ok/binaryExpression-satplusminus:
  rule Expr_ok/binaryExpression-satplusminus:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_reduced binop typedExpressionIR_r_reduced) # expressionNoteIR
 -- if binop <- [|+|, |-|]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l_cast, typedExpressionIR_r_cast, $compat_satplusminus)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)
14.6.1.3. Division and modulo
Click to view the specification source
rulegroup Expr_ok/binaryExpression-divmod:
  rule Expr_ok/rhs-lctk:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_reduced binop typedExpressionIR_r_reduced) # expressionNoteIR
 -- if binop <- [/, %]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l_cast, typedExpressionIR_r_cast, $compat_divmod)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_r_reduced = LCTK
 -- Expr_eval_lctk: p TC |- typedExpressionIR_r_reduced ~> integerValue_r
 -- if n_r = $nat_of_integerValue(integerValue_r)
 -- if n_r > 0
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)
  rule Expr_ok/rhs-non-lctk:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_reduced binop typedExpressionIR_r_reduced) # expressionNoteIR
 -- if binop <- [/, %]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l_cast, typedExpressionIR_r_cast, $compat_divmod)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_r_reduced =/= LCTK
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)
  1. Check that binop is in [ /, % ].

  2. Let typedExpressionIRl be

  3. Let typedExpressionIRr be

  4. Let ( typedExpressionIRl_cast, typedExpressionIRr_cast ) be ! typedExpressionIRl and typedExpressionIRr implicitly cast to equal types.

  5. Let ( typedExpressionIRl_reduced, typedExpressionIRr_reduced ) be ! the result of reducing serializable enums in typedExpressionIRl_cast and typedExpressionIRr_cast until $compat_divmod is satisfied.

  6. Let typeIRreduced be the type of typedExpressionIRl_reduced.

  7. Let ctkl_reduced be the compile-time known-ness of typedExpressionIRl_reduced.

  8. Let ctkr_reduced be the compile-time known-ness of typedExpressionIRr_reduced.

  9. If ctkr_reduced is LCTK:

  10. Else:

14.6.1.4. Shift left and right
Click to view the specification source
rulegroup Expr_ok/binaryExpression-shift:
  rule Expr_ok/rhs-fixbit:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_reduced binop typedExpressionIR_r_reduced) # expressionNoteIR
 -- if binop <- [<<, >>]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l, typedExpressionIR_r, $compat_shift)
 -- if typeIR_l_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if typeIR_r_reduced = $type_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if BIT `<_> = typeIR_r_reduced
 -- if (typeIR_l_reduced = INT) => (ctk_r_reduced = LCTK)
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(typeIR_l_reduced ctk_reduced)
  rule Expr_ok/rhs-non-fixbit:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_reduced binop typedExpressionIR_r_reduced) # expressionNoteIR
 -- if binop <- [<<, >>]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l, typedExpressionIR_r, $compat_shift)
 -- if typeIR_l_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if typeIR_r_reduced = $type_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ~(typeIR_r_reduced <: fixedBitTypeIR)
 -- if ctk_r_reduced = LCTK
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(typeIR_l_reduced ctk_reduced)
14.6.1.5. Equality and inequality
Click to view the specification source
rulegroup Expr_ok/binaryExpression-equality:
  rule Expr_ok/binaryExpression-equality:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_cast binop typedExpressionIR_r_cast) # expressionNoteIR
 -- if binop <- [==, !=]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if typeIR_cast = $type_of_typedExpressionIR(typedExpressionIR_l_cast)
 -- if ctk_l_cast = $ctk_of_typedExpressionIR(typedExpressionIR_l_cast)
 -- if ctk_r_cast = $ctk_of_typedExpressionIR(typedExpressionIR_r_cast)
 -- if $is_equalable_typeIR(typeIR_cast)
 -- if ctk_cast = $join_ctk(ctk_l_cast, ctk_r_cast)
 -- if expressionNoteIR = `(BOOL ctk_cast)
14.6.1.6. Comparison
Click to view the specification source
rulegroup Expr_ok/binaryExpression-comparison:
  rule Expr_ok/binaryExpression-comparison:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_reduced binop typedExpressionIR_r_reduced) # expressionNoteIR
 -- if binop <- [<=, >=, <, >]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l_cast, typedExpressionIR_r_cast, $compat_compare)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(BOOL ctk_reduced)
14.6.1.7. Bitwise and, xor, and or
Click to view the specification source
rulegroup Expr_ok/binaryExpression-bitwise:
  rule Expr_ok/binaryExpression-bitwise:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_reduced binop typedExpressionIR_r_reduced) # expressionNoteIR
 -- if binop <- [&, ^, |]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l_cast, typedExpressionIR_r_cast, $compat_bitwise)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)
14.6.1.8. Concatenation
Click to view the specification source
rulegroup Expr_ok/binaryExpression-concat:
  rule Expr_ok/binaryExpression-concat:
  p TC |- expression_l ++ expression_r : (typedExpressionIR_l_reduced ++ typedExpressionIR_r_reduced) # expressionNoteIR
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l, typedExpressionIR_r, $compat_concat)
 -- if typeIR_l_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if typeIR_r_reduced = $type_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if (typeIR_l_reduced = STRING /\ typeIR_r_reduced = STRING) => (ctk_l_reduced = LCTK /\ ctk_r_reduced = LCTK)
 -- if typeIR_reduced = $result_concat(typeIR_l_reduced, typeIR_r_reduced)
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)
  1. Let typedExpressionIRl be

  2. Let typedExpressionIRr be

  3. Let ( typedExpressionIRl_reduced, typedExpressionIRr_reduced ) be ! the result of reducing serializable enums in typedExpressionIRl and typedExpressionIRr until $compat_concat is satisfied.

  4. Let typeIRl_reduced be the type of typedExpressionIRl_reduced.

  5. Let ctkl_reduced be the compile-time known-ness of typedExpressionIRl_reduced.

  6. Let typeIRr_reduced be the type of typedExpressionIRr_reduced.

  7. Let ctkr_reduced be the compile-time known-ness of typedExpressionIRr_reduced.

  8. Check that if typeIRl_reduced is equal to STRING and typeIRr_reduced is equal to STRING, then ctkl_reduced is equal to LCTK and ctkr_reduced is equal to LCTK.

  9. Let typeIRreduced be $result_concat(typeIRl_reduced, typeIRr_reduced).

  10. Let ctkreduced be the join of ctkl_reduced and ctkr_reduced.

  11. Let expressionNoteIR be a pair of type typeIRreduced and compile-time known-ness ctkreduced.

  12. Result in typedExpressionIRl_reduced typedExpressionIRr_reduced annotated with expressionNoteIR.

14.6.1.9. Logical and, and or
Click to view the specification source
rulegroup Expr_ok/binaryExpression-logical:
  rule Expr_ok/binaryExpression-logical:
  p TC |- expression_l binop expression_r : (typedExpressionIR_l_reduced binop typedExpressionIR_r_reduced) # expressionNoteIR
 -- if binop <- [&&, ||]
 -- Expr_ok: p TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: p TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l_cast, typedExpressionIR_r_cast, $compat_logical)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_l_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if ctk_r_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if ctk_reduced = $join_ctk(ctk_l_reduced, ctk_r_reduced)
 -- if expressionNoteIR = `(typeIR_reduced ctk_reduced)

14.6.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/binaryExpressionIR:
  rule Expr_eval_lctk/non-short-circuit:
  p TC |- (typedExpressionIR_l binop typedExpressionIR_r) # _ ~> $bin_op(binop, value_l, value_r)
 -- if ~(binop <- [&&, ||])
 -- Expr_eval_lctk: p TC |- typedExpressionIR_l ~> value_l
 -- Expr_eval_lctk: p TC |- typedExpressionIR_r ~> value_r
  rule Expr_eval_lctk/land-false:
  p TC |- (typedExpressionIR_l && typedExpressionIR_r) # _ ~> (`B false)
 -- Expr_eval_lctk: p TC |- typedExpressionIR_l ~> (`B false)
  rule Expr_eval_lctk/land-true:
  p TC |- (typedExpressionIR_l && typedExpressionIR_r) # _ ~> value_r
 -- Expr_eval_lctk: p TC |- typedExpressionIR_l ~> (`B true)
 -- Expr_eval_lctk: p TC |- typedExpressionIR_r ~> value_r
  rule Expr_eval_lctk/lor-true:
  p TC |- (typedExpressionIR_l || typedExpressionIR_r) # _ ~> (`B true)
 -- Expr_eval_lctk: p TC |- typedExpressionIR_l ~> (`B true)
  rule Expr_eval_lctk/lor-false:
  p TC |- (typedExpressionIR_l || typedExpressionIR_r) # _ ~> value_r
 -- Expr_eval_lctk: p TC |- typedExpressionIR_l ~> (`B false)
 -- Expr_eval_lctk: p TC |- typedExpressionIR_r ~> value_r
  1. If binop is not in [ &&, || ]:

  2. If binop is &&:

    1. Let value be

    2. If value is equal to `B false:

      1. Result in `B false.

    3. Else if value is equal to `B true:

  3. Else if binop is ||:

    1. Let value be

    2. If value is equal to `B true:

      1. Result in `B true.

    3. Else if value is equal to `B false:

14.6.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/binaryExpressionIR:
  rule Expr_inst/non-short-circuit:
  p IC STO_0 |- (typedExpressionIR_l binop typedExpressionIR_r) # _ : STO_2 $bin_op(binop, value_l, value_r)
 -- if ~(binop <- [&&, ||])
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_l : STO_1 value_l
 -- Expr_inst: p IC STO_1 |- typedExpressionIR_r : STO_2 value_r
  rule Expr_inst/land-false:
  p IC STO_0 |- (typedExpressionIR_l && typedExpressionIR_r) # _ : STO_1 (`B false)
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_l : STO_1 (`B false)
  rule Expr_inst/land-true:
  p IC STO_0 |- (typedExpressionIR_l && typedExpressionIR_r) # _ : STO_2 value_r
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_l : STO_1 (`B true)
 -- Expr_inst: p IC STO_1 |- typedExpressionIR_r : STO_2 value_r
  rule Expr_inst/lor-true:
  p IC STO_0 |- (typedExpressionIR_l || typedExpressionIR_r) # _ : STO_1 (`B true)
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_l : STO_1 (`B true)
  rule Expr_inst/lor-false:
  p IC STO_0 |- (typedExpressionIR_l || typedExpressionIR_r) # _ : STO_2 value_r
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_l : STO_1 (`B false)
 -- Expr_inst: p IC STO_1 |- typedExpressionIR_r : STO_2 value_r
  1. If binop is not in [ &&, || ]:

  2. If binop is &&:

    1. Let store STO1 and value be

    2. If value is equal to `B false:

      1. Result in store STO1 and `B false.

    3. Else if value is equal to `B true:

      1. Let store STO2 and valuer be

      2. Result in store STO2 and valuer.

  3. Else if binop is ||:

    1. Let store STO1 and value be

    2. If value is equal to `B true:

      1. Result in store STO1 and `B true.

    3. Else if value is equal to `B false:

      1. Let store STO2 and valuer be

      2. Result in store STO2 and valuer.

14.6.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/binaryExpressionIR:
  rule Expr_eval/non-short-circuit-abort:
  p EC_0 ARCH_0 |- (typedExpressionIR_l binop typedExpressionIR_r) # _ : EC_1 ARCH_1 abortResult
 -- if ~(binop <- [&&, ||])
 -- Exprs_eval: p EC_0 ARCH_0 |- [typedExpressionIR_l, typedExpressionIR_r] : EC_1 ARCH_1 abortResult
  rule Expr_eval/non-short-circuit-cont:
  p EC_0 ARCH_0 |- (typedExpressionIR_l binop typedExpressionIR_r) # _ : EC_1 ARCH_1 expressionResult
 -- if ~(binop <- [&&, ||])
 -- Exprs_eval: p EC_0 ARCH_0 |- [typedExpressionIR_l, typedExpressionIR_r] : EC_1 ARCH_1 (` ([value_l, value_r]))
 -- if expressionResult = ` $bin_op(binop, value_l, value_r)
  rule Expr_eval/land-abort:
  p EC_0 ARCH_0 |- (typedExpressionIR_l && typedExpressionIR_r) # _ : EC_1 ARCH_1 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_l : EC_1 ARCH_1 abortResult
  rule Expr_eval/land-false:
  p EC_0 ARCH_0 |- (typedExpressionIR_l && typedExpressionIR_r) # _ : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_l : EC_1 ARCH_1 (` (`B false))
 -- if expressionResult = ` (`B false)
  rule Expr_eval/land-true-abort:
  p EC_0 ARCH_0 |- (typedExpressionIR_l && typedExpressionIR_r) # _ : EC_2 ARCH_2 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_l : EC_1 ARCH_1 (` (`B true))
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR_r : EC_2 ARCH_2 abortResult
  rule Expr_eval/land-true:
  p EC_0 ARCH_0 |- (typedExpressionIR_l && typedExpressionIR_r) # _ : EC_2 ARCH_2 expressionResult_r
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_l : EC_1 ARCH_1 (` (`B true))
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR_r : EC_2 ARCH_2 expressionResult_r
  rule Expr_eval/lor-abort:
  p EC_0 ARCH_0 |- (typedExpressionIR_l || typedExpressionIR_r) # _ : EC_1 ARCH_1 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_l : EC_1 ARCH_1 abortResult
  rule Expr_eval/lor-true:
  p EC_0 ARCH_0 |- (typedExpressionIR_l || typedExpressionIR_r) # _ : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_l : EC_1 ARCH_1 (` (`B true))
 -- if expressionResult = ` (`B true)
  rule Expr_eval/lor-false-abort:
  p EC_0 ARCH_0 |- (typedExpressionIR_l || typedExpressionIR_r) # _ : EC_2 ARCH_2 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_l : EC_1 ARCH_1 (` (`B false))
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR_r : EC_2 ARCH_2 abortResult
  rule Expr_eval/lor-false:
  p EC_0 ARCH_0 |- (typedExpressionIR_l || typedExpressionIR_r) # _ : EC_2 ARCH_2 expressionResult_r
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_l : EC_1 ARCH_1 (` (`B false))
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR_r : EC_2 ARCH_2 expressionResult_r
  1. If binop is not in [ &&, || ]:

    1. Let context EC1, state ARCH1 and expressionListResult be

    2. If let abortResult be expressionListResult:

      1. Result in context EC1, state ARCH1 and abortResult.

    3. Else:

      1. Let value* be expressionListResult.

      2. Check that value* is a list of length 2.

      3. Let [ valuel, valuer ] be value*.

      4. Let value' be valuel binop valuer.

      5. Let expressionResult be value'.

      6. Result in context EC1, state ARCH1 and expressionResult.

  2. If binop is &&:

    1. Let context EC1, state ARCH1 and expressionResult be

    2. If let abortResult be expressionResult:

      1. Result in context EC1, state ARCH1 and abortResult.

    3. If expressionResult is equal to `B false:

      1. Let expressionResult' be `B false.

      2. Result in context EC1, state ARCH1 and expressionResult'.

    4. Else if expressionResult is equal to `B true:

      1. Let context EC2, state ARCH2 and expressionResult' be

      2. If let abortResult be expressionResult':

        1. Result in context EC2, state ARCH2 and abortResult.

      3. Result in context EC2, state ARCH2 and expressionResult'.

  3. Else if binop is ||:

    1. Let context EC1, state ARCH1 and expressionResult be

    2. If let abortResult be expressionResult:

      1. Result in context EC1, state ARCH1 and abortResult.

    3. If expressionResult is equal to `B true:

      1. Let expressionResult' be `B true.

      2. Result in context EC1, state ARCH1 and expressionResult'.

    4. Else if expressionResult is equal to `B false:

      1. Let context EC2, state ARCH2 and expressionResult' be

      2. If let abortResult be expressionResult':

        1. Result in context EC2, state ARCH2 and abortResult.

      3. Result in context EC2, state ARCH2 and expressionResult'.

14.7. Ternary expressions

A conditional expression of the form e1 ? e2 : e3 behaves the same as in languages like C. As described above, the expression e1 is evaluated first, and second either e2 or e3 is evaluated depending on the result.

The first sub-expression e1 must have Boolean type and the second and third sub-expressions must have the same type, which cannot both be arbitrary-precision integers unless the condition itself can be evaluated at compilation time. This restriction is designed to ensure that the width of the result of the conditional expression can be inferred statically at compile time.

ternaryExpression
   : expression ? expression : expression
   ;

14.7.1. Type checking

After type checking, ternary expressions have the form:

ternaryExpressionIR
   : typedExpressionIR ? typedExpressionIR : typedExpressionIR
   ;
Click to view the specification source
rulegroup Expr_ok/ternaryExpression:
  rule Expr_ok/ternaryExpression:
  p TC |- expression_cond ? expression_true : expression_false : (typedExpressionIR_cond ? typedExpressionIR_true_cast : typedExpressionIR_false_cast) # expressionNoteIR
 -- Expr_ok: p TC |- expression_cond : typedExpressionIR_cond
 -- if typeIR_cond = $type_of_typedExpressionIR(typedExpressionIR_cond)
 -- if ctk_cond = $ctk_of_typedExpressionIR(typedExpressionIR_cond)
 -- if BOOL = $unroll_typeIR(typeIR_cond)
 -- Expr_ok: p TC |- expression_true : typedExpressionIR_true
 -- Expr_ok: p TC |- expression_false : typedExpressionIR_false
 -- if (typedExpressionIR_true_cast, typedExpressionIR_false_cast) = $cast_binary(typedExpressionIR_true, typedExpressionIR_false)
 -- if typeIR_cast = $type_of_typedExpressionIR(typedExpressionIR_true_cast)
 -- if ctk_true_cast = $ctk_of_typedExpressionIR(typedExpressionIR_true_cast)
 -- if ctk_false_cast = $ctk_of_typedExpressionIR(typedExpressionIR_false_cast)
 -- if (typeIR_cast = INT) => (ctk_cond =/= DYN)
 -- if ctk = $joins_ctk([ctk_cond, ctk_true_cast, ctk_false_cast])
 -- if expressionNoteIR = `(typeIR_cast ctk)

14.7.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/ternaryExpressionIR:
  rule Expr_eval_lctk/true:
  p TC |- (typedExpressionIR_cond ? typedExpressionIR_true : typedExpressionIR_false) # _ ~> value_true
 -- Expr_eval_lctk: p TC |- typedExpressionIR_cond ~> (`B true)
 -- Expr_eval_lctk: p TC |- typedExpressionIR_true ~> value_true
  rule Expr_eval_lctk/false:
  p TC |- (typedExpressionIR_cond ? typedExpressionIR_true : typedExpressionIR_false) # _ ~> value_false
 -- Expr_eval_lctk: p TC |- typedExpressionIR_cond ~> (`B false)
 -- Expr_eval_lctk: p TC |- typedExpressionIR_false ~> value_false

14.7.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/ternaryExpressionIR:
  rule Expr_inst/true:
  p IC STO_0 |- (typedExpressionIR_cond ? typedExpressionIR_true : typedExpressionIR_false) # _ : STO_2 value_true
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_cond : STO_1 (`B true)
 -- Expr_inst: p IC STO_1 |- typedExpressionIR_true : STO_2 value_true
  rule Expr_inst/false:
  p IC STO_0 |- (typedExpressionIR_cond ? typedExpressionIR_true : typedExpressionIR_false) # _ : STO_2 value_false
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_cond : STO_1 (`B false)
 -- Expr_inst: p IC STO_1 |- typedExpressionIR_false : STO_2 value_false
  1. Let store STO1 and value be

  2. If value is equal to `B true:

    1. Let store STO2 and valuetrue be

    2. Result in store STO2 and valuetrue.

  3. Else if value is equal to `B false:

    1. Let store STO2 and valuefalse be

    2. Result in store STO2 and valuefalse.

14.7.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/ternaryExpressionIR:
  rule Expr_eval/cond-abort:
  p EC_0 ARCH_0 |- (typedExpressionIR_cond ? typedExpressionIR_true : typedExpressionIR_false) # _ : EC_1 ARCH_1 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_cond : EC_1 ARCH_1 abortResult
  rule Expr_eval/cond-true:
  p EC_0 ARCH_0 |- (typedExpressionIR_cond ? typedExpressionIR_true : typedExpressionIR_false) # _ : EC_2 ARCH_2 expressionResult_true
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_cond : EC_1 ARCH_1 (` (`B true))
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR_true : EC_2 ARCH_2 expressionResult_true
  rule Expr_eval/cond-false:
  p EC_0 ARCH_0 |- (typedExpressionIR_cond ? typedExpressionIR_true : typedExpressionIR_false) # _ : EC_2 ARCH_2 expressionResult_false
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_cond : EC_1 ARCH_1 (` (`B false))
 -- Expr_eval: p EC_1 ARCH_1 |- typedExpressionIR_false : EC_2 ARCH_2 expressionResult_false
  1. Let context EC1, state ARCH1 and expressionResult be

  2. If let abortResult be expressionResult:

    1. Result in context EC1, state ARCH1 and abortResult.

  3. If expressionResult is equal to `B true:

    1. Let context EC2, state ARCH2 and expressionResulttrue be

    2. Result in context EC2, state ARCH2 and expressionResulttrue.

  4. Else if expressionResult is equal to `B false:

    1. Let context EC2, state ARCH2 and expressionResultfalse be

    2. Result in context EC2, state ARCH2 and expressionResultfalse.

14.8. Cast expressions

P4 provides a limited set of casts between types. A cast is written (t) e, where t is a type and e is an expression.

castExpression
   : `( type ) expression
   ;

14.8.1. Type checking

Click to view the specification source
rulegroup Expr_ok/castExpression:
  rule Expr_ok/castExpression:
  p TC |- `(type_t) expression : (`(typeIR_t) typedExpressionIR) # expressionNoteIR
 -- Type_ok: p TC |- type_t : typeIR_t # eps
 -- Type_wf: $bound(p, TC) |- typeIR_t
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if typeIR = $type_of_typedExpressionIR(typedExpressionIR)
 -- if ctk = $ctk_of_typedExpressionIR(typedExpressionIR)
 -- Cast_expl: typeIR -> typeIR_t
 -- if expressionNoteIR = `(typeIR_t ctk)

14.8.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/castExpressionIR:
  rule Expr_eval_lctk/castExpressionIR:
  p TC |- (`(typeIR) typedExpressionIR) # _ ~> value_cast
 -- Expr_eval_lctk: p TC |- typedExpressionIR ~> value
 -- if value_cast = $cast_op(typeIR, value)

14.8.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/castExpressionIR:
  rule Expr_inst/castExpressionIR:
  p IC STO_0 |- (`(typeIR) typedExpressionIR) # _ : STO_1 value_cast
 -- Expr_inst: p IC STO_0 |- typedExpressionIR : STO_1 value
 -- if value_cast = $cast_op(typeIR, value)

14.8.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/castExpressionIR:
  rule Expr_eval/abort:
  p EC_0 ARCH_0 |- (`(typeIR) typedExpressionIR) # _ : EC_1 ARCH_1 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 abortResult
  rule Expr_eval/cont:
  p EC_0 ARCH_0 |- (`(typeIR) typedExpressionIR) # _ : EC_1 ARCH_1 (` value_cast)
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value)
 -- if value_cast = $cast_op(typeIR, value)
  1. Let context EC1, state ARCH1 and expressionResult be

  2. If let abortResult be expressionResult:

    1. Result in context EC1, state ARCH1 and abortResult.

  3. Else:

    1. Let value be expressionResult.

    2. Let valuecast be value casted to type typeIR.

    3. Result in context EC1, state ARCH1 and valuecast.

14.9. Invalid header expressions

{#} represents an invalid header expression. See Section 8.6.2 for more details.

invalidHeaderExpression
   : {#}
   ;

14.9.1. Type checking

After type checking, an invalid header expression is represented as:

invalidHeaderExpressionIR = invalidHeaderExpression
Click to view the specification source
rulegroup Expr_ok/invalidHeaderExpression:
  rule Expr_ok/invalidHeaderExpression:
  p TC |- {#} : {#} # expressionNoteIR
 -- if expressionNoteIR = `(HEADER_INVALID LCTK)

14.9.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/invalidHeaderExpressionIR:
  rule Expr_eval_lctk/invalidHeaderExpressionIR:
  p TC |- {#} # _ ~> {#}

14.9.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/invalidHeaderExpressionIR:
  rule Expr_inst/invalidHeaderExpressionIR:
  p IC STO |- {#} # _ : STO {#}

14.9.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/invalidHeaderExpressionIR:
  rule Expr_eval/invalidHeaderExpressionIR:
  p EC ARCH |- {#} # _ : EC ARCH expressionResult
 -- if expressionResult = ` {#}
  1. Let expressionResult be {#}.

  2. Result in context EC, state ARCH and expressionResult.

14.10. Sequence expressions

A sequence expression is a comma-separated list of expressions enclosed in curly braces {}. See Section 8.6.3 for details.

sequenceOrRecordExpression
   : `{ sequenceOrRecordElementExpression trailingCommaOpt }
   ;

sequenceElementExpression = expressionList

sequenceOrRecordElementExpression
   : sequenceElementExpression
   | recordElementExpression
   ;

14.10.1. Type checking

After type checking, a sequence expression is represented as:

sequenceExpressionIR
   : SEQ `{ typedExpressionListIR }
   | SEQ `{ typedExpressionListIR , ... }
   ;
Click to view the specification source
rulegroup Expr_ok/sequenceExpression:
  rule Expr_ok/non-default:
  p TC |- `{expressionList _} : (SEQ `{typedExpressionIR_e*}) # expressionNoteIR
 -- if expression_e* = $flatten_expressionList(expressionList)
 -- if ~(... <- expression_e*)
 -- (Expr_ok: p TC |- expression_e : typedExpressionIR_e)*
 -- (if (typeIR_e = $type_of_typedExpressionIR(typedExpressionIR_e)))*
 -- (if (ctk_e = $ctk_of_typedExpressionIR(typedExpressionIR_e)))*
 -- if typeIR = SEQ `<typeIR_e*>
 -- if ctk = $joins_ctk(ctk_e*)
 -- if expressionNoteIR = `(typeIR ctk)
  rule Expr_ok/default:
  p TC |- `{expressionList _} : (SEQ `{typedExpressionIR_e_h* , ...}) # expressionNoteIR
 -- if expression_e* = $flatten_expressionList(expressionList)
 -- if ... <- expression_e*
 -- if ... :: expression_e_h_rev* = $rev_<expression>(expression_e*)
 -- if expression_e_h* = $rev_<expression>(expression_e_h_rev*)
 -- if ~(... <- expression_e_h*)
 -- (Expr_ok: p TC |- expression_e_h : typedExpressionIR_e_h)*
 -- (if (typeIR_e_h = $type_of_typedExpressionIR(typedExpressionIR_e_h)))*
 -- (if (ctk_e_h = $ctk_of_typedExpressionIR(typedExpressionIR_e_h)))*
 -- if typeIR = SEQ `<typeIR_e_h* , ...>
 -- if ctk = $joins_ctk(ctk_e_h*)
 -- if expressionNoteIR = `(typeIR ctk)
  1. Let expressione* be expressionList flattened.

  2. If ... is not in expressione*:

    1. Let typedExpressionIRe* be the list obtained by repeating:

      for each expressione in expressione*

    2. Let typeIRe* be the list obtained by repeating:

      for each typedExpressionIRe in typedExpressionIRe*

    3. Let ctke* be the list obtained by repeating:

      for each typedExpressionIRe in typedExpressionIRe*

    4. Let typeIR be SEQ < typeIRe* >.

    5. Let ctk be the join of ctke*.

    6. Let expressionNoteIR be a pair of type typeIR and compile-time known-ness ctk.

    7. Result in SEQ { typedExpressionIRe* } annotated with expressionNoteIR.

  3. Else:

    1. Let expression'* be the reversal of expressione*.

    2. Check that expression'* is a non-empty list.

    3. Let expression'' :: expressione_h_rev* be expression'*.

    4. Check that expression'' has type defaultExpression.

    5. Let defaultExpression be expression''.

    6. Let expressione_h* be the reversal of expressione_h_rev*.

    7. Check that ... is not in expressione_h*.

    8. Let typedExpressionIRe_h* be the list obtained by repeating:

      for each expressione_h in expressione_h*

    9. Let typeIRe_h* be the list obtained by repeating:

      for each typedExpressionIRe_h in typedExpressionIRe_h*

    10. Let ctke_h* be the list obtained by repeating:

      for each typedExpressionIRe_h in typedExpressionIRe_h*

    11. Let typeIR be SEQ < typeIRe_h* , ... >.

    12. Let ctk be the join of ctke_h*.

    13. Let expressionNoteIR be a pair of type typeIR and compile-time known-ness ctk.

    14. Result in SEQ { typedExpressionIRe_h* , ... } annotated with expressionNoteIR.

14.10.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/sequenceExpressionIR:
  rule Expr_eval_lctk/non-default:
  p TC |- (SEQ `{typedExpressionIR*}) # _ ~> SEQ `(value*)
 -- (Expr_eval_lctk: p TC |- typedExpressionIR ~> value)*
  rule Expr_eval_lctk/default:
  p TC |- (SEQ `{typedExpressionIR* , ...}) # _ ~> SEQ `(value* , ...)
 -- (Expr_eval_lctk: p TC |- typedExpressionIR ~> value)*
  1. If let SEQ { typedExpressionIR* } be sequenceExpressionIR:

    1. Let value* be the list obtained by repeating:

      for each typedExpressionIR in typedExpressionIR*

    2. Result in SEQ ( value* ).

  2. Else:

    1. Let SEQ { typedExpressionIR* , ... } be sequenceExpressionIR.

    2. Let value* be the list obtained by repeating:

      for each typedExpressionIR in typedExpressionIR*

    3. Result in SEQ ( value* , ... ).

14.10.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/sequenceExpressionIR:
  rule Expr_inst/non-default:
  p IC STO_0 |- (SEQ `{typedExpressionListIR}) # _ : STO_1 (SEQ `(value*))
 -- Exprs_inst: p IC STO_0 |- typedExpressionListIR : STO_1 value*
  rule Expr_inst/default:
  p IC STO_0 |- (SEQ `{typedExpressionListIR , ...}) # _ : STO_1 (SEQ `(value* , ...))
 -- Exprs_inst: p IC STO_0 |- typedExpressionListIR : STO_1 value*
  1. If let SEQ { typedExpressionListIR } be sequenceExpressionIR:

    1. Let store STO1 and value* be

    2. Result in store STO1 and SEQ ( value* ).

  2. Else:

    1. Let SEQ { typedExpressionListIR , ... } be sequenceExpressionIR.

    2. Let store STO1 and value* be

    3. Result in store STO1 and SEQ ( value* , ... ).

14.10.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/sequenceExpressionIR:
  rule Expr_eval/non-default-abort:
  p EC_0 ARCH_0 |- (SEQ `{typedExpressionListIR}) # _ : EC_1 ARCH_1 abortResult
 -- Exprs_eval: p EC_0 ARCH_0 |- typedExpressionListIR : EC_1 ARCH_1 abortResult
  rule Expr_eval/non-default-cont:
  p EC_0 ARCH_0 |- (SEQ `{typedExpressionListIR}) # _ : EC_1 ARCH_1 expressionResult
 -- Exprs_eval: p EC_0 ARCH_0 |- typedExpressionListIR : EC_1 ARCH_1 (` value*)
 -- if expressionResult = ` (SEQ `(value*))
  rule Expr_eval/default-abort:
  p EC_0 ARCH_0 |- (SEQ `{typedExpressionListIR , ...}) # _ : EC_1 ARCH_1 abortResult
 -- Exprs_eval: p EC_0 ARCH_0 |- typedExpressionListIR : EC_1 ARCH_1 abortResult
  rule Expr_eval/default-cont:
  p EC_0 ARCH_0 |- (SEQ `{typedExpressionListIR , ...}) # _ : EC_1 ARCH_1 expressionResult
 -- Exprs_eval: p EC_0 ARCH_0 |- typedExpressionListIR : EC_1 ARCH_1 (` value*)
 -- if expressionResult = ` (SEQ `(value* , ...))
  1. If let SEQ { typedExpressionListIR } be sequenceExpressionIR:

    1. Let context EC1, state ARCH1 and expressionListResult be

    2. If let abortResult be expressionListResult:

      1. Result in context EC1, state ARCH1 and abortResult.

    3. Else:

      1. Let value* be expressionListResult.

      2. Let expressionResult be SEQ ( value* ).

      3. Result in context EC1, state ARCH1 and expressionResult.

  2. Else:

    1. Let SEQ { typedExpressionListIR , ... } be sequenceExpressionIR.

    2. Let context EC1, state ARCH1 and expressionListResult be

    3. If let abortResult be expressionListResult:

      1. Result in context EC1, state ARCH1 and abortResult.

    4. Else:

      1. Let value* be expressionListResult.

      2. Let expressionResult be SEQ ( value* , ... ).

      3. Result in context EC1, state ARCH1 and expressionResult.

14.11. Record expressions

A record expression is a comma-separated list of named expressions enclosed in curly braces {}. See Section 8.6.4 for details.

sequenceOrRecordExpression
   : `{ sequenceOrRecordElementExpression trailingCommaOpt }
   ;

recordElementExpression
   : name = expression
   | name = expression , ...
   | name = expression , namedExpressionList
   | name = expression , namedExpressionList , ...
   ;

sequenceOrRecordElementExpression
   : sequenceElementExpression
   | recordElementExpression
   ;

14.11.1. Type checking

After type checking, a record expression is represented as:

recordExpressionIR
   : RECORD `{ namedExpressionListIR }
   | RECORD `{ namedExpressionListIR , ... }
   ;
Click to view the specification source
rulegroup Expr_ok/recordExpression:
  rule Expr_ok/single-non-default:
  p TC |- `{(name_f = expression_f) _} : (RECORD `{(nameIR_f = typedExpressionIR_f)}) # expressionNoteIR
 -- if nameIR_f = $name(name_f)
 -- Expr_ok: p TC |- expression_f : typedExpressionIR_f
 -- if typeIR_f = $type_of_typedExpressionIR(typedExpressionIR_f)
 -- if ctk_f = $ctk_of_typedExpressionIR(typedExpressionIR_f)
 -- if typeIR = RECORD `{(`EMPTY typeIR_f nameIR_f ;)}
 -- if expressionNoteIR = `(typeIR ctk_f)
  rule Expr_ok/single-default:
  p TC |- `{(name_f = expression_f , ...) _} : (RECORD `{(nameIR_f = typedExpressionIR_f) , ...}) # expressionNoteIR
 -- if nameIR_f = $name(name_f)
 -- Expr_ok: p TC |- expression_f : typedExpressionIR_f
 -- if typeIR_f = $type_of_typedExpressionIR(typedExpressionIR_f)
 -- if ctk_f = $ctk_of_typedExpressionIR(typedExpressionIR_f)
 -- if typeIR = RECORD `{(`EMPTY typeIR_f nameIR_f ;) , ...}
 -- if expressionNoteIR = `(typeIR ctk_f)
  rule Expr_ok/multiple-non-default:
  p TC |- `{(name_f_h = expression_f_h , namedExpressionList_t) _} : (RECORD `{(nameIR_f = typedExpressionIR_f)*}) # expressionNoteIR
 -- if (name_f_t = expression_f_t)* = $flatten_namedExpressionList(namedExpressionList_t)
 -- if name_f* = name_f_h :: name_f_t*
 -- (if (nameIR_f = $name(name_f)))*
 -- if expression_f* = expression_f_h :: expression_f_t*
 -- (Expr_ok: p TC |- expression_f : typedExpressionIR_f)*
 -- (if (typeIR_f = $type_of_typedExpressionIR(typedExpressionIR_f)))*
 -- (if (ctk_f = $ctk_of_typedExpressionIR(typedExpressionIR_f)))*
 -- if typeIR = RECORD `{(`EMPTY typeIR_f nameIR_f ;)*}
 -- if ctk = $joins_ctk(ctk_f*)
 -- if expressionNoteIR = `(typeIR ctk)
  rule Expr_ok/multiple-default:
  p TC |- `{(name_f_h = expression_f_h , namedExpressionList_t , ...) _} : (RECORD `{(nameIR_f = typedExpressionIR_f)* , ...}) # expressionNoteIR
 -- if (name_f_t = expression_f_t)* = $flatten_namedExpressionList(namedExpressionList_t)
 -- if name_f* = name_f_h :: name_f_t*
 -- (if (nameIR_f = $name(name_f)))*
 -- if expression_f* = expression_f_h :: expression_f_t*
 -- (Expr_ok: p TC |- expression_f : typedExpressionIR_f)*
 -- (if (typeIR_f = $type_of_typedExpressionIR(typedExpressionIR_f)))*
 -- (if (ctk_f = $ctk_of_typedExpressionIR(typedExpressionIR_f)))*
 -- if typeIR = RECORD `{(`EMPTY typeIR_f nameIR_f ;)* , ...}
 -- if ctk = $joins_ctk(ctk_f*)
 -- if expressionNoteIR = `(typeIR ctk)
  1. If let namef = expressionf be recordElementExpression:

    1. Let nameIRf be the name of namef.

    2. Let typedExpressionIRf be

    3. Let typeIRf be the type of typedExpressionIRf.

    4. Let ctkf be the compile-time known-ness of typedExpressionIRf.

    5. Let typeIR be RECORD { `EMPTY typeIRf nameIRf ; }.

    6. Let expressionNoteIR be a pair of type typeIR and compile-time known-ness ctkf.

    7. Result in RECORD { nameIRf = typedExpressionIRf } annotated with expressionNoteIR.

  2. Else if let namef = expressionf , ... be recordElementExpression:

    1. Let nameIRf be the name of namef.

    2. Let typedExpressionIRf be

    3. Let typeIRf be the type of typedExpressionIRf.

    4. Let ctkf be the compile-time known-ness of typedExpressionIRf.

    5. Let typeIR be RECORD { `EMPTY typeIRf nameIRf ; , ... }.

    6. Let expressionNoteIR be a pair of type typeIR and compile-time known-ness ctkf.

    7. Result in RECORD { nameIRf = typedExpressionIRf , ... } annotated with expressionNoteIR.

  3. Else if let namef_h = expressionf_h , namedExpressionListt be recordElementExpression:

    1. Let ( namef_t = expressionf_t )* be namedExpressionListt flattened.

    2. Let namef* be namef_h :: namef_t*.

    3. Let nameIRf* be the list obtained by repeating:

      for each namef in namef*

    4. Let expressionf* be expressionf_h :: expressionf_t*.

    5. Let typedExpressionIRf* be the list obtained by repeating:

      for each expressionf in expressionf*

    6. Let typeIRf* be the list obtained by repeating:

      for each typedExpressionIRf in typedExpressionIRf*

    7. Let ctkf* be the list obtained by repeating:

      for each typedExpressionIRf in typedExpressionIRf*

    8. Let typeIR be RECORD { ( `EMPTY typeIRf nameIRf ; )* }.

    9. Let ctk be the join of ctkf*.

    10. Let expressionNoteIR be a pair of type typeIR and compile-time known-ness ctk.

    11. Result in RECORD { ( nameIRf = typedExpressionIRf )* } annotated with expressionNoteIR.

  4. Else:

    1. Let namef_h = expressionf_h , namedExpressionListt , ... be recordElementExpression.

    2. Let ( namef_t = expressionf_t )* be namedExpressionListt flattened.

    3. Let namef* be namef_h :: namef_t*.

    4. Let nameIRf* be the list obtained by repeating:

      for each namef in namef*

    5. Let expressionf* be expressionf_h :: expressionf_t*.

    6. Let typedExpressionIRf* be the list obtained by repeating:

      for each expressionf in expressionf*

    7. Let typeIRf* be the list obtained by repeating:

      for each typedExpressionIRf in typedExpressionIRf*

    8. Let ctkf* be the list obtained by repeating:

      for each typedExpressionIRf in typedExpressionIRf*

    9. Let typeIR be RECORD { ( `EMPTY typeIRf nameIRf ; )* , ... }.

    10. Let ctk be the join of ctkf*.

    11. Let expressionNoteIR be a pair of type typeIR and compile-time known-ness ctk.

    12. Result in RECORD { ( nameIRf = typedExpressionIRf )* , ... } annotated with expressionNoteIR.

14.11.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/recordExpressionIR:
  rule Expr_eval_lctk/non-default:
  p TC |- (RECORD `{(nameIR = typedExpressionIR)*}) # _ ~> RECORD `{(value nameIR ;)*}
 -- (Expr_eval_lctk: p TC |- typedExpressionIR ~> value)*
  rule Expr_eval_lctk/default:
  p TC |- (RECORD `{(nameIR = typedExpressionIR)* , ...}) # _ ~> RECORD `{(value nameIR ;)* , ...}
 -- (Expr_eval_lctk: p TC |- typedExpressionIR ~> value)*
  1. If let RECORD { ( nameIR = typedExpressionIR )* } be recordExpressionIR:

    1. Let value* be the list obtained by repeating:

      for each typedExpressionIR in typedExpressionIR*

    2. Result in RECORD { ( value nameIR ; )* }.

  2. Else:

    1. Let RECORD { ( nameIR = typedExpressionIR )* , ... } be recordExpressionIR.

    2. Let value* be the list obtained by repeating:

      for each typedExpressionIR in typedExpressionIR*

    3. Result in RECORD { ( value nameIR ; )* , ... }.

14.11.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/recordExpressionIR:
  rule Expr_inst/non-default:
  p IC STO_0 |- (RECORD `{(nameIR = typedExpressionIR)*}) # _ : STO_1 (RECORD `{(value nameIR ;)*})
 -- Exprs_inst: p IC STO_0 |- typedExpressionIR* : STO_1 value*
  rule Expr_inst/default:
  p IC STO_0 |- (RECORD `{(nameIR = typedExpressionIR)* , ...}) # _ : STO_1 (RECORD `{(value nameIR ;)* , ...})
 -- Exprs_inst: p IC STO_0 |- typedExpressionIR* : STO_1 value*
  1. If let RECORD { ( nameIR = typedExpressionIR )* } be recordExpressionIR:

    1. Let store STO1 and value* be

    2. Result in store STO1 and RECORD { ( value nameIR ; )* }.

  2. Else:

    1. Let RECORD { ( nameIR = typedExpressionIR )* , ... } be recordExpressionIR.

    2. Let store STO1 and value* be

    3. Result in store STO1 and RECORD { ( value nameIR ; )* , ... }.

14.11.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/recordExpressionIR:
  rule Expr_eval/non-default-abort:
  p EC_0 ARCH_0 |- (RECORD `{(nameIR = typedExpressionIR)*}) # _ : EC_1 ARCH_1 abortResult
 -- Exprs_eval: p EC_0 ARCH_0 |- typedExpressionIR* : EC_1 ARCH_1 abortResult
  rule Expr_eval/non-default-cont:
  p EC_0 ARCH_0 |- (RECORD `{(nameIR = typedExpressionIR)*}) # _ : EC_1 ARCH_1 expressionResult
 -- Exprs_eval: p EC_0 ARCH_0 |- typedExpressionIR* : EC_1 ARCH_1 (` value*)
 -- if expressionResult = ` (RECORD `{(value nameIR ;)*})
  rule Expr_eval/default-abort:
  p EC_0 ARCH_0 |- (RECORD `{(nameIR = typedExpressionIR)* , ...}) # _ : EC_1 ARCH_1 abortResult
 -- Exprs_eval: p EC_0 ARCH_0 |- typedExpressionIR* : EC_1 ARCH_1 abortResult
  rule Expr_eval/default-cont:
  p EC_0 ARCH_0 |- (RECORD `{(nameIR = typedExpressionIR)* , ...}) # _ : EC_1 ARCH_1 expressionResult
 -- Exprs_eval: p EC_0 ARCH_0 |- typedExpressionIR* : EC_1 ARCH_1 (` value*)
 -- if expressionResult = ` (RECORD `{(value nameIR ;)* , ...})
  1. If let RECORD { ( nameIR = typedExpressionIR )* } be recordExpressionIR:

    1. Let context EC1, state ARCH1 and expressionListResult be

    2. If let abortResult be expressionListResult:

      1. Result in context EC1, state ARCH1 and abortResult.

    3. Else:

      1. Let value* be expressionListResult.

      2. Let expressionResult be RECORD { ( value nameIR ; )* }.

      3. Result in context EC1, state ARCH1 and expressionResult.

  2. Else:

    1. Let RECORD { ( nameIR = typedExpressionIR )* , ... } be recordExpressionIR.

    2. Let context EC1, state ARCH1 and expressionListResult be

    3. If let abortResult be expressionListResult:

      1. Result in context EC1, state ARCH1 and abortResult.

    4. Else:

      1. Let value* be expressionListResult.

      2. Let expressionResult be RECORD { ( value nameIR ; )* , ... }.

      3. Result in context EC1, state ARCH1 and expressionResult.

14.12. Error access expression

An error access expression accesses a symbolic name in the error namespace. See Section 8.2.4 for details about error types and values.

errorAccessExpression
   : ERROR . member
   ;

14.12.1. Type checking

After type checking, an error access expression is represented as:

errorAccessExpressionIR
   : ERROR . nameIR
   ;
Click to view the specification source
rulegroup Expr_ok/errorAccessExpression:
  rule Expr_ok/errorAccessExpression:
  p TC |- ERROR . member : (ERROR . nameIR) # expressionNoteIR
 -- if nameIR = $name(member)
 -- if nameIR_error = "error." ++ nameIR
 -- if ERROR . nameIR = $find_var_value_t(` nameIR_error, p, TC)
 -- if expressionNoteIR = `(ERROR LCTK)
  1. Let nameIR be the name of member.

  2. Let nameIRerror be "error." concatenated with nameIR.

  3. Check that ERROR . nameIR is equal to the value of variable nameIRerror from the p layer of TC.

  4. Let expressionNoteIR be a pair of type ERROR and compile-time known-ness LCTK.

  5. Result in ERROR . nameIR annotated with expressionNoteIR.

14.12.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/errorAccessExpressionIR:
  rule Expr_eval_lctk/errorAccessExpressionIR:
  p TC |- (ERROR . nameIR) # `(_ _) ~> value_error
 -- if nameIR_error = "error." ++ nameIR
 -- if value_error = $find_var_value_t(` nameIR_error, p, TC)

14.12.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/errorAccessExpressionIR:
  rule Expr_inst/errorAccessExpressionIR:
  p IC STO |- (ERROR . nameIR) # _ : STO value_error
 -- if nameIR_error = "error." ++ nameIR
 -- if value_error = $find_var_i(` nameIR_error, p, IC)
  1. Let nameIRerror be "error." concatenated with nameIR.

  2. Let valueerror be the value of nameIRerror from the p layer of IC.

  3. Result in store STO and valueerror.

14.12.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/errorAccessExpressionIR:
  rule Expr_eval/errorAccessExpressionIR:
  p EC ARCH |- (ERROR . nameIR) # _ : EC ARCH expressionResult
 -- if nameIR_error = "error." ++ nameIR
 -- if value_error = $find_var_e(` nameIR_error, p, EC)
 -- if expressionResult = ` value_error
  1. Let nameIRerror be "error." concatenated with nameIR.

  2. Let valueerror be the value of nameIRerror from the p layer of EC.

  3. Let expressionResult be valueerror.

  4. Result in context EC, state ARCH and expressionResult.

14.13. Member access expressions

A member access expression accesses a user-defined or built-in field in an aggregate value. Also, it may access an element defined in an enum declaration.

memberAccessExpression
   : memberAccessBase . member
   ;

memberAccessBase
   : prefixedTypeName
   | expression
   ;

14.13.1. Type checking

After type checking, a member access expression is represented in P4IR as:

memberAccessExpressionIR
   : memberAccessBaseIR . nameIR
   ;

memberAccessBaseIR
   : TYPE prefixedNameIR
   | typedExpressionIR
   ;
Accessing an enum member
Click to view the specification source
rulegroup Expr_ok/memberAccessExpression-type:
  rule Expr_ok/enum:
  p TC |- prefixedTypeName_base . member : ((TYPE prefixedNameIR_base) . nameIR) # expressionNoteIR
 -- if prefixedNameIR_base = $prefixedTypeName(prefixedTypeName_base)
 -- if typeDefIR_base = $find_typeDef_t(p, TC, prefixedNameIR_base)
 -- if $is_monomorphic_typeDefIR(typeDefIR_base)
 -- if typeIR_base = $typeIR_of_typeDefIR(typeDefIR_base)
 -- if ENUM _ `{nameIR_field*} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if nameIR <- nameIR_field*
 -- if expressionNoteIR = `(typeIR_base LCTK)
  rule Expr_ok/serenum:
  p TC |- prefixedTypeName_base . member : ((TYPE prefixedNameIR_base) . nameIR) # expressionNoteIR
 -- if prefixedNameIR_base = $prefixedTypeName(prefixedTypeName_base)
 -- if typeDefIR_base = $find_typeDef_t(p, TC, prefixedNameIR_base)
 -- if $is_monomorphic_typeDefIR(typeDefIR_base)
 -- if typeIR_base = $typeIR_of_typeDefIR(typeDefIR_base)
 -- if ENUM _ `<_> `{(nameIR_field = _ ;)*} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if nameIR <- nameIR_field*
 -- if expressionNoteIR = `(typeIR_base LCTK)
  1. Let prefixedNameIRbase be the prefixed name of prefixedTypeNamebase.

  2. Let typeDefIRbase be ! the type definition of prefixedNameIRbase from the p layer of TC.

  3. Check that typeDefIRbase is monomorphic.

  4. Let typeIRbase be the underlying type of typeDefIRbase.

  5. Let typeIR be typeIRbase with typedefs unrolled.

  6. If let ENUM _ { nameIRfield* } be typeIR:

  7. Else if let ENUM _ < _ > { ( nameIRfield = _ ; )* } be typeIR:

Accessing an aggregate member
Click to view the specification source
rulegroup Expr_ok/memberAccessExpression-expression:
  rule Expr_ok/headerStack-size:
  p TC |- expression_base . member : (typedExpressionIR_base . "size") # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if typeIR `[n_size] = $unroll_typeIR(typeIR_base)
 -- if "size" = $name(member)
 -- if expressionNoteIR = `((BIT `<32>) LCTK)
  rule Expr_ok/headerStack-lastIndex:
  p TC |- expression_base . member : (typedExpressionIR_base . "lastIndex") # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if typeIR `[n_size] = $unroll_typeIR(typeIR_base)
 -- if "lastIndex" = $name(member)
 -- if (p = BLOCK /\ TC.BLOCK.KIND = PARSER) \/ (p = LOCAL /\ TC.LOCAL.KIND = PARSER_STATE)
 -- if expressionNoteIR = `((BIT `<32>) DYN)
  rule Expr_ok/headerStack-last:
  p TC |- expression_base . member : (typedExpressionIR_base . "last") # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if typeIR `[n_size] = $unroll_typeIR(typeIR_base)
 -- if "last" = $name(member)
 -- if (p = BLOCK /\ TC.BLOCK.KIND = PARSER) \/ (p = LOCAL /\ TC.LOCAL.KIND = PARSER_STATE)
 -- if expressionNoteIR = `(typeIR DYN)
  rule Expr_ok/headerStack-next:
  p TC |- expression_base . member : (typedExpressionIR_base . "next") # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if typeIR `[n_size] = $unroll_typeIR(typeIR_base)
 -- if "next" = $name(member)
 -- if (p = BLOCK /\ TC.BLOCK.KIND = PARSER) \/ (p = LOCAL /\ TC.LOCAL.KIND = PARSER_STATE)
 -- if expressionNoteIR = `(typeIR DYN)
  rule Expr_ok/struct:
  p TC |- expression_base . member : (typedExpressionIR_base . nameIR) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if ctk_base = $ctk_of_typedExpressionIR(typedExpressionIR_base)
 -- if STRUCT _ `<_> `{(_ typeIR_f nameIR_f ;)*} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if typeIR = $assoc_<nameIR, typeIR>(nameIR, (nameIR_f, typeIR_f)*)
 -- if expressionNoteIR = `(typeIR ctk_base)
  rule Expr_ok/header:
  p TC |- expression_base . member : (typedExpressionIR_base . nameIR) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if ctk_base = $ctk_of_typedExpressionIR(typedExpressionIR_base)
 -- if HEADER _ `<_> `{(_ typeIR_f nameIR_f ;)*} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if typeIR = $assoc_<nameIR, typeIR>(nameIR, (nameIR_f, typeIR_f)*)
 -- if expressionNoteIR = `(typeIR ctk_base)
  rule Expr_ok/header-union:
  p TC |- expression_base . member : (typedExpressionIR_base . nameIR) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if ctk_base = $ctk_of_typedExpressionIR(typedExpressionIR_base)
 -- if HEADER_UNION _ `<_> `{(_ typeIR_f nameIR_f ;)*} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if typeIR = $assoc_<nameIR, typeIR>(nameIR, (nameIR_f, typeIR_f)*)
 -- if expressionNoteIR = `(typeIR ctk_base)
  rule Expr_ok/table-struct-hit:
  p TC |- expression_base . member : (typedExpressionIR_base . nameIR) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if TABLE_STRUCT _ `{HIT boolTypeIR ; MISS _ ; ACTION_RUN _ ;} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if nameIR = "hit"
 -- if expressionNoteIR = `(boolTypeIR DYN)
  rule Expr_ok/table-struct-miss:
  p TC |- expression_base . member : (typedExpressionIR_base . nameIR) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if TABLE_STRUCT _ `{HIT _ ; MISS boolTypeIR ; ACTION_RUN _ ;} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if nameIR = "miss"
 -- if expressionNoteIR = `(boolTypeIR DYN)
  rule Expr_ok/table-struct-action_run:
  p TC |- expression_base . member : (typedExpressionIR_base . nameIR) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if TABLE_STRUCT _ `{HIT _ ; MISS _ ; ACTION_RUN tableMetadataEnumTypeIR ;} = $unroll_typeIR(typeIR_base)
 -- if nameIR = $name(member)
 -- if nameIR = "action_run"
 -- if expressionNoteIR = `(tableMetadataEnumTypeIR DYN)
  1. Let typedExpressionIRbase be

  2. Let typeIRbase be the type of typedExpressionIRbase.

  3. Let typeIR be typeIRbase with typedefs unrolled.

  4. If let typeIR' [ nsize ] be typeIR:

    1. If "size" is equal to the name of member:

    2. If "lastIndex" is equal to the name of member:

      1. Check that p is equal to BLOCK and TC.BLOCK.KIND is equal to PARSER or p is equal to LOCAL and TC.LOCAL.KIND is equal to PARSER_STATE.

      2. Let expressionNoteIR be a pair of type BIT < 32 > and compile-time known-ness DYN.

      3. Result in typedExpressionIRbase . "lastIndex" annotated with expressionNoteIR.

    3. If "last" is equal to the name of member:

      1. Check that p is equal to BLOCK and TC.BLOCK.KIND is equal to PARSER or p is equal to LOCAL and TC.LOCAL.KIND is equal to PARSER_STATE.

      2. Let expressionNoteIR be a pair of type typeIR' and compile-time known-ness DYN.

      3. Result in typedExpressionIRbase . "last" annotated with expressionNoteIR.

    4. If "next" is equal to the name of member:

      1. Check that p is equal to BLOCK and TC.BLOCK.KIND is equal to PARSER or p is equal to LOCAL and TC.LOCAL.KIND is equal to PARSER_STATE.

      2. Let expressionNoteIR be a pair of type typeIR' and compile-time known-ness DYN.

      3. Result in typedExpressionIRbase . "next" annotated with expressionNoteIR.

  5. Let ctkbase be the compile-time known-ness of typedExpressionIRbase.

  6. Let typeIR be typeIRbase with typedefs unrolled.

  7. If let STRUCT _ < _* > { ( _ typeIRf nameIRf ; )* } be typeIR:

  8. Else if let HEADER _ < _* > { ( _ typeIRf nameIRf ; )* } be typeIR:

  9. Else if let HEADER_UNION _ < _* > { ( _ typeIRf nameIRf ; )* } be typeIR:

  10. Let typeIR be typeIRbase with typedefs unrolled.

  11. If let TABLE_STRUCT _ { HIT boolTypeIR ; MISS _ ; ACTION_RUN _ ; } be typeIR:

14.13.2. Local compile-time evaluation

Accessing an enum member
Click to view the specification source
rulegroup Expr_eval_lctk/memberAccessExpressionIR-type:
  rule Expr_eval_lctk/enum:
  p TC |- ((TYPE prefixedNameIR_base) . nameIR) # _ ~> typeId . nameIR
 -- if typeDefIR_base = $find_typeDef_t(p, TC, prefixedNameIR_base)
 -- if $is_monomorphic_typeDefIR(typeDefIR_base)
 -- if typeIR_base = $typeIR_of_typeDefIR(typeDefIR_base)
 -- if ENUM typeId `{nameIR_field*} = $unroll_typeIR(typeIR_base)
 -- if nameIR <- nameIR_field*
  rule Expr_eval_lctk/serenum:
  p TC |- ((TYPE prefixedNameIR_base) . nameIR) # _ ~> typeId . nameIR . value
 -- if typeDefIR_base = $find_typeDef_t(p, TC, prefixedNameIR_base)
 -- if $is_monomorphic_typeDefIR(typeDefIR_base)
 -- if typeIR_base = $typeIR_of_typeDefIR(typeDefIR_base)
 -- if ENUM typeId `<typeIR> `{(nameIR_field = value_field ;)*} = $unroll_typeIR(typeIR_base)
 -- if value = $assoc_<nameIR, value>(nameIR, (nameIR_field, value_field)*)
  1. Let typeDefIRbase be ! the type definition of prefixedNameIRbase from the p layer of TC.

  2. Check that typeDefIRbase is monomorphic.

  3. Let typeIRbase be the underlying type of typeDefIRbase.

  4. Let typeIR be typeIRbase with typedefs unrolled.

  5. If let ENUM typeId { nameIRfield* } be typeIR:

    1. Check that nameIR is in nameIRfield*.

    2. Result in typeId . nameIR.

  6. Else if let ENUM typeId < typeIR' > { ( nameIRfield = valuefield ; )* } be typeIR:

    1. Let value' be ! the value associated to nameIR in ( nameIRfield, valuefield )*.

    2. Result in typeId . nameIR . value'.

Accessing an aggregate member
Click to view the specification source
rulegroup Expr_eval_lctk/memberAccessExpressionIR-typedExpressionIR:
  rule Expr_eval_lctk/header-stack-size:
  p TC |- (typedExpressionIR_base . nameIR) # _ ~> D n_size
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if _ `[n_size] = $unroll_typeIR(typeIR_base)
 -- if nameIR = "size"
  rule Expr_eval_lctk/struct:
  p TC |- (typedExpressionIR_base . nameIR) # _ ~> value
 -- Expr_eval_lctk: p TC |- typedExpressionIR_base ~> structValue
 -- if STRUCT _ `{(value_field nameIR_field ;)*} = structValue
 -- if value = $assoc_<nameIR, value>(nameIR, (nameIR_field, value_field)*)
  rule Expr_eval_lctk/header:
  p TC |- (typedExpressionIR_base . nameIR) # _ ~> value
 -- Expr_eval_lctk: p TC |- typedExpressionIR_base ~> headerValue
 -- if HEADER _ `{_ ; (value_field nameIR_field ;)*} = headerValue
 -- if value = $assoc_<nameIR, value>(nameIR, (nameIR_field, value_field)*)
  rule Expr_eval_lctk/header-union:
  p TC |- (typedExpressionIR_base . nameIR) # _ ~> value
 -- Expr_eval_lctk: p TC |- typedExpressionIR_base ~> headerUnionValue
 -- if HEADER_UNION _ `{(value_field nameIR_field ;)*} = headerUnionValue
 -- if value = $assoc_<nameIR, value>(nameIR, (nameIR_field, value_field)*)
  1. Let typeIRbase be the type of typedExpressionIRbase.

  2. Let typeIR be typeIRbase with typedefs unrolled.

  3. If let _ [ nsize ] be typeIR:

    1. Check that nameIR is equal to "size".

    2. Result in D nsize.

  4. Let value be

  5. If let structValue be value:

    1. Let STRUCT _ { ( valuefield nameIRfield ; )* } be structValue.

    2. Let value'' be ! the value associated to nameIR in ( nameIRfield, valuefield )*.

    3. Result in value''.

  6. Else if let headerValue be value:

    1. Let HEADER _ { _ ; ( valuefield nameIRfield ; )* } be headerValue.

    2. Let value'' be ! the value associated to nameIR in ( nameIRfield, valuefield )*.

    3. Result in value''.

  7. Else if let headerUnionValue be value:

    1. Let HEADER_UNION _ { ( valuefield nameIRfield ; )* } be headerUnionValue.

    2. Let value'' be ! the value associated to nameIR in ( nameIRfield, valuefield )*.

    3. Result in value''.

14.13.3. Compile-time evaluation

Accessing an enum member
Click to view the specification source
rulegroup Expr_inst/memberAccessExpressionIR-type:
  rule Expr_inst/enum:
  p IC STO |- ((TYPE prefixedNameIR) . nameIR) # _ : STO (typeId . nameIR)
 -- if ENUM typeId `{_} = $find_typeDef_i(p, IC, prefixedNameIR)
  rule Expr_inst/serenum:
  p IC STO |- ((TYPE prefixedNameIR) . nameIR) # _ : STO (typeId . nameIR . value)
 -- if ENUM typeId `<_> `{(id_member = value_member ;)*} = $find_typeDef_i(p, IC, prefixedNameIR)
 -- if value = $assoc_<nameIR, value>(nameIR, (id_member, value_member)*)
  1. Let typeDefIR' be ! the type definition of prefixedNameIR from the p layer of IC.

  2. If let ENUM typeId { _* } be typeDefIR':

    1. Result in store STO and typeId . nameIR.

  3. Else if let ENUM typeId < _ > { ( idmember = valuemember ; )* } be typeDefIR':

    1. Let value' be ! the value associated to nameIR in ( idmember, valuemember )*.

    2. Result in store STO and typeId . nameIR . value'.

Accessing an aggregate member
Click to view the specification source
rulegroup Expr_inst/memberAccessExpressionIR-typedExpressionIR:
  rule Expr_inst/header-stack-size:
  p IC STO |- (typedExpressionIR_base . nameIR) # _ : STO (D n_size)
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if _ `[n_size] = $unroll_typeIR(typeIR_base)
 -- if nameIR = "size"
  rule Expr_inst/struct:
  p IC STO_0 |- (typedExpressionIR_base . nameIR) # _ : STO_1 value
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_base : STO_1 structValue
 -- if STRUCT _ `{(value_field id_field ;)*} = structValue
 -- if value = $assoc_<id, value>(nameIR, (id_field, value_field)*)
  rule Expr_inst/header:
  p IC STO_0 |- (typedExpressionIR_base . nameIR) # _ : STO_1 value
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_base : STO_1 headerValue
 -- if HEADER _ `{_ ; (value_field id_field ;)*} = headerValue
 -- if value = $assoc_<id, value>(nameIR, (id_field, value_field)*)
  rule Expr_inst/header-union:
  p IC STO_0 |- (typedExpressionIR_base . nameIR) # _ : STO_1 value
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_base : STO_1 headerUnionValue
 -- if HEADER_UNION _ `{(value_field id_field ;)*} = headerUnionValue
 -- if value = $assoc_<id, value>(nameIR, (id_field, value_field)*)
  1. Let typeIRbase be the type of typedExpressionIRbase.

  2. Let typeIR be typeIRbase with typedefs unrolled.

  3. If let _ [ nsize ] be typeIR:

    1. Check that nameIR is equal to "size".

    2. Result in store STO and D nsize.

  4. Let store STO1 and value be

  5. If let structValue be value:

    1. Let STRUCT _ { ( valuefield idfield ; )* } be structValue.

    2. Let value'' be ! the value associated to nameIR in ( idfield, valuefield )*.

    3. Result in store STO1 and value''.

  6. Else if let headerValue be value:

    1. Let HEADER _ { _ ; ( valuefield idfield ; )* } be headerValue.

    2. Let value'' be ! the value associated to nameIR in ( idfield, valuefield )*.

    3. Result in store STO1 and value''.

  7. Else if let headerUnionValue be value:

    1. Let HEADER_UNION _ { ( valuefield idfield ; )* } be headerUnionValue.

    2. Let value'' be ! the value associated to nameIR in ( idfield, valuefield )*.

    3. Result in store STO1 and value''.

14.13.4. Runtime evaluation

Accessing an enum member
Click to view the specification source
rulegroup Expr_eval/memberAccessExpressionIR-type:
  rule Expr_eval/enum:
  p EC ARCH |- ((TYPE prefixedNameIR) . nameIR) # _ : EC ARCH expressionResult
 -- if ENUM typeId `{_} = $find_typeDef_e(p, EC, prefixedNameIR)
 -- if expressionResult = ` (typeId . nameIR)
  rule Expr_eval/serenum:
  p EC ARCH |- ((TYPE prefixedNameIR) . nameIR) # _ : EC ARCH expressionResult
 -- if ENUM typeId `<_> `{(nameIR_member = value_member ;)*} = $find_typeDef_e(p, EC, prefixedNameIR)
 -- if value = $assoc_<nameIR, value>(nameIR, (nameIR_member, value_member)*)
 -- if expressionResult = ` (typeId . nameIR . value)
  1. Let typeDefIR' be ! $find_typeDef_e(p, EC, prefixedNameIR).

  2. If let ENUM typeId { _* } be typeDefIR':

    1. Let expressionResult be typeId . nameIR.

    2. Result in context EC, state ARCH and expressionResult.

  3. Else if let ENUM typeId < _ > { ( nameIRmember = valuemember ; )* } be typeDefIR':

    1. Let value' be ! the value associated to nameIR in ( nameIRmember, valuemember )*.

    2. Let expressionResult be typeId . nameIR . value'.

    3. Result in context EC, state ARCH and expressionResult.

Accessing an aggregate member
Click to view the specification source
rulegroup Expr_eval/memberAccessExpressionIR-typedExpressionIR:
  rule Expr_eval/abort:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # `(typeIR_base _) : EC_1 ARCH_1 abortResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 abortResult
  rule Expr_eval/stack-size:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # `(typeIR_base _) : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` headerStackValue_base)
 -- if HEADER_STACK `[_ `(_ ; n_size)] = headerStackValue_base
 -- if nameIR = "size"
 -- if expressionResult = ` (D n_size)
  rule Expr_eval/stack-last-out-of-bounds:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # `(typeIR_base _) : EC_1 ARCH_1 rejectTransitionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` headerStackValue_base)
 -- if HEADER_STACK `[value_elem* `(n_idx ; n_size)] = headerStackValue_base
 -- if nameIR = "last"
 -- if b_out_of_bounds = (n_idx < 1 \/ n_idx > n_size)
 -- if b_out_of_bounds
 -- if rejectTransitionResult = REJECT (ERROR . "StackOutOfBounds")
  rule Expr_eval/stack-last-in-bounds:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # `(typeIR_base _) : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` headerStackValue_base)
 -- if HEADER_STACK `[value_elem* `(n_idx ; n_size)] = headerStackValue_base
 -- if nameIR = "last"
 -- if b_out_of_bounds = (n_idx < 1 \/ n_idx > n_size)
 -- if ~b_out_of_bounds
 -- if n_idx_last = n_idx - 1
 -- if value_last = value_elem*[n_idx_last]
 -- if expressionResult = ` value_last
  rule Expr_eval/stack-lastIndex:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # `(typeIR_base _) : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` headerStackValue_base)
 -- if HEADER_STACK `[value_elem* `(n_idx ; _)] = headerStackValue_base
 -- if nameIR = "lastIndex"
 -- if n_idx_last = $max_nat([n_idx, 1]) - 1
 -- if value_idx_last = 32 W n_idx_last
 -- if expressionResult = ` value_idx_last
  rule Expr_eval/struct:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # `(typeIR_base _) : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` structValue_base)
 -- if STRUCT _ `{(value_field id_field ;)*} = structValue_base
 -- if value_member = $assoc_<nameIR, value>(nameIR, (id_field, value_field)*)
 -- if expressionResult = ` value_member
  rule Expr_eval/header:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # `(typeIR_base _) : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` headerValue_base)
 -- if HEADER _ `{_ ; (value_field id_field ;)*} = headerValue_base
 -- if value_member = $assoc_<nameIR, value>(nameIR, (id_field, value_field)*)
 -- if expressionResult = ` value_member
  rule Expr_eval/headerunion:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # `(typeIR_base _) : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` headerUnionValue_base)
 -- if HEADER_UNION _ `{(value_field id_field ;)*} = headerUnionValue_base
 -- if value_member = $assoc_<nameIR, value>(nameIR, (id_field, value_field)*)
 -- if expressionResult = ` value_member
  rule Expr_eval/tableMetadataStructValue-hit:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # _ : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` tableMetadataStructValue_base)
 -- if TABLE_STRUCT _ `{HIT boolValue_hit ; MISS _ ; ACTION_RUN _ ;} = tableMetadataStructValue_base
 -- if nameIR = "hit"
 -- if expressionResult = ` boolValue_hit
  rule Expr_eval/tableMetadataStructValue-miss:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # _ : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` tableMetadataStructValue_base)
 -- if TABLE_STRUCT _ `{HIT _ ; MISS boolValue_miss ; ACTION_RUN _ ;} = tableMetadataStructValue_base
 -- if nameIR = "miss"
 -- if expressionResult = ` boolValue_miss
  rule Expr_eval/tableMetadataStructValue-action_run:
  p EC_0 ARCH_0 |- (typedExpressionIR_base . nameIR) # _ : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR_base : EC_1 ARCH_1 (` tableMetadataStructValue_base)
 -- if TABLE_STRUCT _ `{HIT _ ; MISS _ ; ACTION_RUN tableMetadataEnumValue ;} = tableMetadataStructValue_base
 -- if nameIR = "action_run"
 -- if expressionResult = ` tableMetadataEnumValue
  1. Let context EC1, state ARCH1 and expressionResult be

  2. If let abortResult be expressionResult:

    1. Result in context EC1, state ARCH1 and abortResult.

  3. Else:

    1. Let value be expressionResult.

    2. If let headerStackValuebase be value:

      1. Let HEADER_STACK [ _* ( _ ; nsize ) ] be headerStackValuebase.

      2. If nameIR is equal to "size":

        1. Let expressionResult' be D nsize.

        2. Result in context EC1, state ARCH1 and expressionResult'.

      3. Else if nameIR is equal to "last":

        1. Let bout_of_bounds be _ is less than 1 or _ is greater than nsize.

        2. If bout_of_bounds:

          1. Let rejectTransitionResult be REJECT ERROR . "StackOutOfBounds".

          2. Result in context EC1, state ARCH1 and rejectTransitionResult.

        3. Else:

          1. Let int be _ - 1.

          2. Check that int has type nat.

          3. Let nidx_last be int.

          4. Let valuelast be _*[nidx_last].

          5. Let expressionResult' be valuelast.

          6. Result in context EC1, state ARCH1 and expressionResult'.

      4. Else if nameIR is equal to "lastIndex":

        1. Let nat be max( [ _, 1 ] ).

        2. Let int be nat - 1.

        3. Check that int has type nat.

        4. Let nidx_last be int.

        5. Let valueidx_last be 32 W nidx_last.

        6. Let expressionResult' be valueidx_last.

        7. Result in context EC1, state ARCH1 and expressionResult'.

    3. Else if let structValuebase be value:

      1. Let STRUCT _ { ( valuefield idfield ; )* } be structValuebase.

      2. Let valuemember be ! the value associated to nameIR in ( idfield, valuefield )*.

      3. Let expressionResult' be valuemember.

      4. Result in context EC1, state ARCH1 and expressionResult'.

    4. Else if let headerValuebase be value:

      1. Let HEADER _ { _ ; ( valuefield idfield ; )* } be headerValuebase.

      2. Let valuemember be ! the value associated to nameIR in ( idfield, valuefield )*.

      3. Let expressionResult' be valuemember.

      4. Result in context EC1, state ARCH1 and expressionResult'.

    5. Else if let headerUnionValuebase be value:

      1. Let HEADER_UNION _ { ( valuefield idfield ; )* } be headerUnionValuebase.

      2. Let valuemember be ! the value associated to nameIR in ( idfield, valuefield )*.

      3. Let expressionResult' be valuemember.

      4. Result in context EC1, state ARCH1 and expressionResult'.

  4. Let context EC1, state ARCH1 and expressionResult be

  5. If let value be expressionResult:

    1. Check that value has type tableMetadataStructValue.

    2. Let tableMetadataStructValuebase be value.

    3. Let TABLE_STRUCT _ { HIT boolValuehit ; MISS _ ; ACTION_RUN _ ; } be tableMetadataStructValuebase.

    4. If nameIR is equal to "hit":

      1. Let expressionResult' be boolValuehit.

      2. Result in context EC1, state ARCH1 and expressionResult'.

    5. Else if nameIR is equal to "miss":

      1. Let expressionResult' be _.

      2. Result in context EC1, state ARCH1 and expressionResult'.

    6. Else if nameIR is equal to "action_run":

      1. Let expressionResult' be _.

      2. Result in context EC1, state ARCH1 and expressionResult'.

14.14. Index access expressions

An index access expression accesses an element of a tuple or a header stack.

indexAccessExpression
   : expression `[ expression ]
   ;

14.14.1. Type checking

After type checking, an index access expression is represented as:

indexAccessExpressionIR
   : typedExpressionIR `[ typedExpressionIR ]
   ;
Click to view the specification source
rulegroup Expr_ok/indexAccessExpression:
  rule Expr_ok/tuple:
  p TC |- expression_base `[expression_index] : (typedExpressionIR_base `[typedExpressionIR_index_reduced]) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- Expr_ok: p TC |- expression_index : typedExpressionIR_index
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if ctk_base = $ctk_of_typedExpressionIR(typedExpressionIR_base)
 -- if typeIR_index = $type_of_typedExpressionIR(typedExpressionIR_index)
 -- if ctk_index = $ctk_of_typedExpressionIR(typedExpressionIR_index)
 -- if typedExpressionIR_index_reduced = $reduce_serenum_unary(typedExpressionIR_index, $compat_array_index)
 -- if TUPLE `<typeIR_e*> = $unroll_typeIR(typeIR_base)
 -- if ctk_index = LCTK
 -- Expr_eval_lctk: p TC |- typedExpressionIR_index_reduced ~> integerValue_index
 -- if n_index = $nat_of_integerValue(integerValue_index)
 -- if n_index < |typeIR_e*|
 -- if expressionNoteIR = `(typeIR_e*[n_index] ctk_base)
  rule Expr_ok/headerStack-lctk:
  p TC |- expression_base `[expression_index] : (typedExpressionIR_base `[typedExpressionIR_index_reduced]) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- Expr_ok: p TC |- expression_index : typedExpressionIR_index
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if ctk_base = $ctk_of_typedExpressionIR(typedExpressionIR_base)
 -- if typeIR_index = $type_of_typedExpressionIR(typedExpressionIR_index)
 -- if ctk_index = $ctk_of_typedExpressionIR(typedExpressionIR_index)
 -- if typedExpressionIR_index_reduced = $reduce_serenum_unary(typedExpressionIR_index, $compat_array_index)
 -- if typeIR `[n_size] = $unroll_typeIR(typeIR_base)
 -- if ctk_index = LCTK
 -- Expr_eval_lctk: p TC |- typedExpressionIR_index_reduced ~> integerValue_index
 -- if n_index = $nat_of_integerValue(integerValue_index)
 -- if n_index < n_size
 -- if expressionNoteIR = `(typeIR ctk_base)
  rule Expr_ok/headerStack-non-lctk:
  p TC |- expression_base `[expression_index] : (typedExpressionIR_base `[typedExpressionIR_index_reduced]) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- Expr_ok: p TC |- expression_index : typedExpressionIR_index
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if ctk_base = $ctk_of_typedExpressionIR(typedExpressionIR_base)
 -- if typeIR_index = $type_of_typedExpressionIR(typedExpressionIR_index)
 -- if ctk_index = $ctk_of_typedExpressionIR(typedExpressionIR_index)
 -- if typedExpressionIR_index_reduced = $reduce_serenum_unary(typedExpressionIR_index, $compat_array_index)
 -- if typeIR `[n_size] = $unroll_typeIR(typeIR_base)
 -- if ctk_index =/= LCTK
 -- if ctk = $join_ctk(ctk_base, ctk_index)
 -- if expressionNoteIR = `(typeIR ctk)
  1. Let typedExpressionIRbase be

  2. Let typedExpressionIRindex be

  3. Let typeIRbase be the type of typedExpressionIRbase.

  4. Let ctkbase be the compile-time known-ness of typedExpressionIRbase.

  5. Let typeIRindex be the type of typedExpressionIRindex.

  6. Let ctkindex be the compile-time known-ness of typedExpressionIRindex.

  7. Let typedExpressionIRindex_reduced be ! the result of reducing serializable enums in typedExpressionIRindex until $compat_array_index is satisfied.

  8. Let typeIR be typeIRbase with typedefs unrolled.

  9. If let TUPLE < typeIRe* > be typeIR:

    1. Check that ctkindex is LCTK.

    2. Let value be

    3. Check that value has type integerValue.

    4. Let integerValueindex be value.

    5. Let nindex be ! the natural number representation of integerValueindex.

    6. Check that nindex is less than the length of typeIRe*.

    7. Let expressionNoteIR be a pair of type typeIRe*[nindex] and compile-time known-ness ctkbase.

    8. Result in typedExpressionIRbase [ typedExpressionIRindex_reduced ] annotated with expressionNoteIR.

  10. Else if let typeIR' [ nsize ] be typeIR:

14.14.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/indexAccessExpressionIR:
  rule Expr_eval_lctk/tuple:
  p TC |- (typedExpressionIR_base `[typedExpressionIR_index]) # _ ~> value
 -- Expr_eval_lctk: p TC |- typedExpressionIR_base ~> value_base
 -- Expr_eval_lctk: p TC |- typedExpressionIR_index ~> integerValue_index
 -- if TUPLE `(value_e*) = value_base
 -- if n_index = $nat_of_integerValue(integerValue_index)
 -- if n_index < |value_e*|
 -- if value = value_e*[n_index]
  rule Expr_eval_lctk/indexAccessExpressionIR-stack:
  p TC |- (typedExpressionIR_base `[typedExpressionIR_index]) # _ ~> value
 -- Expr_eval_lctk: p TC |- typedExpressionIR_base ~> value_base
 -- Expr_eval_lctk: p TC |- typedExpressionIR_index ~> integerValue_index
 -- if HEADER_STACK `[value_e* `(_ ; _)] = value_base
 -- if n_index = $nat_of_integerValue(integerValue_index)
 -- if n_index < |value_e*|
 -- if value = value_e*[n_index]
  1. Let valuebase be

  2. Let value be

  3. Check that value has type integerValue.

  4. Let integerValueindex be value.

  5. If let TUPLE ( valuee* ) be valuebase:

    1. Let nindex be ! the natural number representation of integerValueindex.

    2. Check that nindex is less than the length of valuee*.

    3. Let value' be valuee*[nindex].

    4. Result in value'.

  6. Else if let HEADER_STACK [ valuee* ( _ ; _ ) ] be valuebase:

    1. Let nindex be ! the natural number representation of integerValueindex.

    2. Check that nindex is less than the length of valuee*.

    3. Let value' be valuee*[nindex].

    4. Result in value'.

14.14.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/indexAccessExpressionIR:
  rule Expr_inst/tuple:
  p IC STO_0 |- (typedExpressionIR_base `[typedExpressionIR_index]) # _ : STO_2 value
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_base : STO_1 value_base
 -- Expr_inst: p IC STO_1 |- typedExpressionIR_index : STO_2 integerValue_index
 -- if TUPLE `(value_e*) = value_base
 -- if n_index = $nat_of_integerValue(integerValue_index)
 -- if n_index < |value_e*|
 -- if value = value_e*[n_index]
  rule Expr_inst/indexAccessExpressionIR-stack:
  p IC STO_0 |- (typedExpressionIR_base `[typedExpressionIR_index]) # _ : STO_2 value
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_base : STO_1 value_base
 -- Expr_inst: p IC STO_1 |- typedExpressionIR_index : STO_2 integerValue_index
 -- if HEADER_STACK `[value_e* `(_ ; _)] = value_base
 -- if n_index = $nat_of_integerValue(integerValue_index)
 -- if n_index < |value_e*|
 -- if value = value_e*[n_index]
  1. Let store STO1 and valuebase be

  2. Let store STO2 and value be

  3. Check that value has type integerValue.

  4. Let integerValueindex be value.

  5. If let TUPLE ( valuee* ) be valuebase:

    1. Let nindex be ! the natural number representation of integerValueindex.

    2. Check that nindex is less than the length of valuee*.

    3. Let value' be valuee*[nindex].

    4. Result in store STO2 and value'.

  6. Else if let HEADER_STACK [ valuee* ( _ ; _ ) ] be valuebase:

    1. Let nindex be ! the natural number representation of integerValueindex.

    2. Check that nindex is less than the length of valuee*.

    3. Let value' be valuee*[nindex].

    4. Result in store STO2 and value'.

14.14.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/indexAccessExpressionIR:
  rule Expr_eval/abort:
  p EC_0 ARCH_0 |- (typedExpressionIR_base `[typedExpressionIR_index]) # _ : EC_1 ARCH_1 abortResult
 -- Exprs_eval: p EC_0 ARCH_0 |- [typedExpressionIR_base, typedExpressionIR_index] : EC_1 ARCH_1 abortResult
  rule Expr_eval/tuple:
  p EC_0 ARCH_0 |- (typedExpressionIR_base `[typedExpressionIR_index]) # _ : EC_1 ARCH_1 expressionResult
 -- Exprs_eval: p EC_0 ARCH_0 |- [typedExpressionIR_base, typedExpressionIR_index] : EC_1 ARCH_1 (` ([tupleValue_base, integerValue_index]))
 -- if TUPLE `(value_elem*) = tupleValue_base
 -- if n_index = $nat_of_integerValue(integerValue_index)
 -- if expressionResult = ` value_elem*[n_index]
  rule Expr_eval/headerStack:
  p EC_0 ARCH_0 |- (typedExpressionIR_base `[typedExpressionIR_index]) # _ : EC_1 ARCH_1 expressionResult
 -- Exprs_eval: p EC_0 ARCH_0 |- [typedExpressionIR_base, typedExpressionIR_index] : EC_1 ARCH_1 (` ([headerStackValue_base, integerValue_index]))
 -- if HEADER_STACK `[value_elem* `(_ ; n_size)] = headerStackValue_base
 -- if n_index = $nat_of_integerValue(integerValue_index)
 -- if n_idx = $ite<int>(n_index < n_size, n_index, n_size - 1)
 -- if expressionResult = ` value_elem*[n_idx]
  1. Let context EC1, state ARCH1 and expressionListResult be

  2. If let abortResult be expressionListResult:

    1. Result in context EC1, state ARCH1 and abortResult.

  3. Else:

    1. Let value* be expressionListResult.

    2. Check that value* is a list of length 2.

    3. Let [ value', value ] be value*.

    4. If let tupleValuebase be value':

      1. Check that value has type integerValue.

      2. Let integerValueindex be value.

      3. Let TUPLE ( valueelem* ) be tupleValuebase.

      4. Let nindex be ! the natural number representation of integerValueindex.

      5. Let expressionResult be valueelem*[nindex].

      6. Result in context EC1, state ARCH1 and expressionResult.

    5. Else if let headerStackValuebase be value':

      1. Check that value has type integerValue.

      2. Let integerValueindex be value.

      3. Let HEADER_STACK [ valueelem* ( _ ; nsize ) ] be headerStackValuebase.

      4. Let nindex be ! the natural number representation of integerValueindex.

      5. Let int be nindex if nindex is less than nsize otherwise nsize - 1.

      6. Check that int has type nat.

      7. Let nidx be int.

      8. Let expressionResult be valueelem*[nidx].

      9. Result in context EC1, state ARCH1 and expressionResult.

14.15. Bitslice access expressions

A bitslice access expression is used to access a contiguous range of bits within a numeric value. The syntax for a bitslice access expression is as follows:

sliceAccessExpression
   : expression `[ expression : expression ]
   ;

14.15.1. Type checking

After type checking, a bitslice access expression is represented as:

sliceAccessExpressionIR
   : typedExpressionIR `[ typedExpressionIR : typedExpressionIR ]
   ;
Click to view the specification source
rulegroup Expr_ok/sliceAccessExpression:
  rule Expr_ok/sliceAccessExpression:
  p TC |- expression_base `[expression_hi : expression_lo] : (typedExpressionIR_base `[typedExpressionIR_hi_reduced : typedExpressionIR_lo_reduced]) # expressionNoteIR
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
 -- Expr_ok: p TC |- expression_hi : typedExpressionIR_hi
 -- Expr_ok: p TC |- expression_lo : typedExpressionIR_lo
 -- if typedExpressionIR_base_reduced = $reduce_serenum_unary(typedExpressionIR_base, $compat_bitslice_base)
 -- if typeIR_base_reduced = $type_of_typedExpressionIR(typedExpressionIR_base_reduced)
 -- if ctk_base_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_base_reduced)
 -- if typedExpressionIR_hi_reduced = $reduce_serenum_unary(typedExpressionIR_hi, $compat_bitslice_index)
 -- if typedExpressionIR_lo_reduced = $reduce_serenum_unary(typedExpressionIR_lo, $compat_bitslice_index)
 -- if typeIR_hi_reduced = $type_of_typedExpressionIR(typedExpressionIR_hi_reduced)
 -- if ctk_hi_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_hi_reduced)
 -- if typeIR_lo_reduced = $type_of_typedExpressionIR(typedExpressionIR_lo_reduced)
 -- if ctk_lo_reduced = $ctk_of_typedExpressionIR(typedExpressionIR_lo_reduced)
 -- if ctk_hi_reduced = LCTK
 -- Expr_eval_lctk: p TC |- typedExpressionIR_hi_reduced ~> integerValue_hi
 -- if n_hi = $nat_of_integerValue(integerValue_hi)
 -- if ctk_lo_reduced = LCTK
 -- Expr_eval_lctk: p TC |- typedExpressionIR_lo_reduced ~> integerValue_lo
 -- if n_lo = $nat_of_integerValue(integerValue_lo)
 -- if $is_valid_bitslice(typeIR_base_reduced, n_lo, n_hi)
 -- if n_slice = n_hi - n_lo + 1
 -- if typeIR = BIT `<n_slice>
 -- if expressionNoteIR = `(typeIR ctk_base_reduced)
  1. Let typedExpressionIRbase be

  2. Let typedExpressionIRhi be

  3. Let typedExpressionIRlo be

  4. Let typedExpressionIRbase_reduced be ! the result of reducing serializable enums in typedExpressionIRbase until $compat_bitslice_base is satisfied.

  5. Let typeIRbase_reduced be the type of typedExpressionIRbase_reduced.

  6. Let ctkbase_reduced be the compile-time known-ness of typedExpressionIRbase_reduced.

  7. Let typedExpressionIRhi_reduced be ! the result of reducing serializable enums in typedExpressionIRhi until $compat_bitslice_index is satisfied.

  8. Let typedExpressionIRlo_reduced be ! the result of reducing serializable enums in typedExpressionIRlo until $compat_bitslice_index is satisfied.

  9. Let typeIRhi_reduced be the type of typedExpressionIRhi_reduced.

  10. Let ctkhi_reduced be the compile-time known-ness of typedExpressionIRhi_reduced.

  11. Let typeIRlo_reduced be the type of typedExpressionIRlo_reduced.

  12. Let ctklo_reduced be the compile-time known-ness of typedExpressionIRlo_reduced.

  13. Check that ctkhi_reduced is LCTK.

  14. Let value be

  15. Check that value has type integerValue.

  16. Let integerValuehi be value.

  17. Let nhi be ! the natural number representation of integerValuehi.

  18. Check that ctklo_reduced is LCTK.

  19. Let value' be

  20. Check that value' has type integerValue.

  21. Let integerValuelo be value'.

  22. Let nlo be ! the natural number representation of integerValuelo.

  23. Check that typeIRbase_reduced [ nlo : nhi ] is a valid bitslice.

  24. Let int be nhi - nlo + 1.

  25. Check that int has type nat.

  26. Let nslice be int.

  27. Let typeIR be BIT < nslice >.

  28. Let expressionNoteIR be a pair of type typeIR and compile-time known-ness ctkbase_reduced.

  29. Result in typedExpressionIRbase [ typedExpressionIRhi_reduced : typedExpressionIRlo_reduced ] annotated with expressionNoteIR.

14.15.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/sliceAccessExpressionIR:
  rule Expr_eval_lctk/sliceAccessExpressionIR:
  p TC |- (typedExpressionIR_base `[typedExpressionIR_hi : typedExpressionIR_lo]) # _ ~> $bitacc_op(value_base, value_hi, value_lo)
 -- Expr_eval_lctk: p TC |- typedExpressionIR_base ~> value_base
 -- Expr_eval_lctk: p TC |- typedExpressionIR_hi ~> value_hi
 -- Expr_eval_lctk: p TC |- typedExpressionIR_lo ~> value_lo

14.15.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/sliceAccessExpressionIR:
  rule Expr_inst/sliceAccessExpressionIR:
  p IC STO_0 |- (typedExpressionIR_base `[typedExpressionIR_hi : typedExpressionIR_lo]) # _ : STO_3 $bitacc_op(value_base, value_hi, value_lo)
 -- Expr_inst: p IC STO_0 |- typedExpressionIR_base : STO_1 value_base
 -- Expr_inst: p IC STO_1 |- typedExpressionIR_hi : STO_2 value_hi
 -- Expr_inst: p IC STO_2 |- typedExpressionIR_lo : STO_3 value_lo

14.15.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/sliceAccessExpressionIR:
  rule Expr_eval/abort:
  p EC_0 ARCH_0 |- (typedExpressionIR_base `[typedExpressionIR_hi : typedExpressionIR_lo]) # _ : EC_1 ARCH_1 abortResult
 -- Exprs_eval: p EC_0 ARCH_0 |- [typedExpressionIR_base, typedExpressionIR_hi, typedExpressionIR_lo] : EC_1 ARCH_1 abortResult
  rule Expr_eval/cont:
  p EC_0 ARCH_0 |- (typedExpressionIR_base `[typedExpressionIR_hi : typedExpressionIR_lo]) # _ : EC_1 ARCH_1 expressionResult
 -- Exprs_eval: p EC_0 ARCH_0 |- [typedExpressionIR_base, typedExpressionIR_hi, typedExpressionIR_lo] : EC_1 ARCH_1 (` ([value_base, value_hi, value_lo]))
 -- if expressionResult = ` $bitacc_op(value_base, value_hi, value_lo)
  1. Let context EC1, state ARCH1 and expressionListResult be

  2. If let abortResult be expressionListResult:

    1. Result in context EC1, state ARCH1 and abortResult.

  3. Else:

    1. Let value* be expressionListResult.

    2. Check that value* is a list of length 3.

    3. Let [ valuebase, valuehi, valuelo ] be value*.

    4. Let value' be valuebase [ valuehi : valuelo ].

    5. Let expressionResult be value'.

    6. Result in context EC1, state ARCH1 and expressionResult.

14.16. Call expressions

Call expressions are used to invoke callables or constructors.

callExpression
   : callTarget `( argumentList )
   | callableTarget `< realTypeArgumentList > `( argumentList )
   ;

callTarget
   : callableTarget
   | constructorTarget
   ;

callableTarget = expression

constructorTarget = namedType

Details of how calls are resolved and evaluated are described in Chapter 18.

14.16.1. Type checking

After type checking, call expressions are represented as:

callExpressionIR
   : constructorTargetIR `( argumentListIR )
   | callableTargetIR `< typeArgumentListIR > `( argumentListIR )
   ;

callableTargetIR
   : referenceExpressionIR
   | typedExpressionIR . nameIR
   | TYPE prefixedNameIR . nameIR
   | `( callableTargetIR )
   ;

constructorTargetIR
   : prefixedNameIR `< typeArgumentListIR >
   ;
Calling a callable
Click to view the specification source
rulegroup Expr_ok/callExpression-callable:
  rule Expr_ok/non-typeArgumentList-static_assert:
  p TC |- callableTarget `(argumentList) : literalExpressionIR # expressionNoteIR
 -- CallableTarget_ok: p TC |- callableTarget : callableTargetIR
 -- ArgumentList_ok: p TC |- argumentList : argumentIR*
 -- CallableType_ok: p TC |- callableTargetIR `<eps> `(argumentIR*) : callableTypeIR `<# typeId_infer*> `(# id_default* # id_optional*)
 -- Call_ok: p TC |- callableTypeIR `<eps # typeId_infer*> `(argumentIR* # id_default* # id_optional*) : typeIR_ret `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if typeIR_ret =/= VOID
 -- if ctk = $is_static_callableTypeIR(callableTypeIR)
 -- if $is_static_assert_callableTypeIR(callableTypeIR)
 -- if callExpressionIR = callableTargetIR `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if expressionNoteIR = `(typeIR_ret ctk)
 -- Expr_eval_lctk: p TC |- (callExpressionIR # expressionNoteIR) ~> (`B true)
 -- if literalExpressionIR = TRUE
  rule Expr_ok/non-typeArgumentList:
  p TC |- callableTarget `(argumentList) : callExpressionIR # expressionNoteIR
 -- CallableTarget_ok: p TC |- callableTarget : callableTargetIR
 -- ArgumentList_ok: p TC |- argumentList : argumentIR*
 -- CallableType_ok: p TC |- callableTargetIR `<eps> `(argumentIR*) : callableTypeIR `<# typeId_infer*> `(# id_default* # id_optional*)
 -- Call_ok: p TC |- callableTypeIR `<eps # typeId_infer*> `(argumentIR* # id_default* # id_optional*) : typeIR_ret `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if typeIR_ret =/= VOID
 -- if ctk = $is_static_callableTypeIR(callableTypeIR)
 -- if ~$is_static_assert_callableTypeIR(callableTypeIR)
 -- if callExpressionIR = callableTargetIR `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if expressionNoteIR = `(typeIR_ret ctk)
  rule Expr_ok/typeArgumentList:
  p TC |- callableTarget `<realTypeArgumentList> `(argumentList) : callExpressionIR # expressionNoteIR
 -- CallableTarget_ok: p TC |- callableTarget : callableTargetIR
 -- if realTypeArgument* = $flatten_realTypeArgumentList(realTypeArgumentList)
 -- TypeArguments_ok: p TC |- realTypeArgument* : typeArgumentIR* # typeId_impl*
 -- ArgumentList_ok: p TC |- argumentList : argumentIR*
 -- CallableType_ok: p TC |- callableTargetIR `<typeArgumentIR*> `(argumentIR*) : callableTypeIR `<# typeId_inserted*> `(# id_default* # id_optional*)
 -- if typeId_infer* = typeId_impl* ++ typeId_inserted*
 -- Call_ok: p TC |- callableTypeIR `<typeArgumentIR* # typeId_infer*> `(argumentIR* # id_default* # id_optional*) : typeIR_ret `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if typeIR_ret =/= VOID
 -- if ctk = $is_static_callableTypeIR(callableTypeIR)
 -- if callExpressionIR = callableTargetIR `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if expressionNoteIR = `(typeIR_ret ctk)
  1. If let callTarget ( argumentList ) be callExpression:

    1. Check that callTarget has type callableTarget.

    2. Let callableTarget be callTarget.

    3. Let typed callable target callableTargetIR be

    4. Let argumentIR* be

    5. Let callable type callableTypeIR with fresh type variables typeIdinfer*, defaults iddefault* and optionals idoptional* be

    6. Let return type typeIRret with inferred typeArgumentIRinferred* and casted argumentIRcast* be

    7. Check that typeIRret is not equal to VOID.

    8. Let ctk be compile-time known-ness of callableTypeIR.

    9. If callableTypeIR is a static_assert call:

      1. Let callExpressionIR be callableTargetIR < typeArgumentIRinferred* > ( argumentIRcast* ).

      2. Let expressionNoteIR be a pair of type typeIRret and compile-time known-ness ctk.

      3. Let value be

      4. Check that value is equal to `B true.

      5. Let literalExpressionIR be TRUE.

      6. Result in literalExpressionIR annotated with expressionNoteIR.

    10. Else:

      1. Let callExpressionIR be callableTargetIR < typeArgumentIRinferred* > ( argumentIRcast* ).

      2. Let expressionNoteIR be a pair of type typeIRret and compile-time known-ness ctk.

      3. Result in callExpressionIR annotated with expressionNoteIR.

  2. Else:

    1. Let callableTarget < realTypeArgumentList > ( argumentList ) be callExpression.

    2. Let typed callable target callableTargetIR be

    3. Let realTypeArgument* be realTypeArgumentList flattened.

    4. Let typeArgumentIR* and fresh type variables typeIdimpl* be

    5. Let argumentIR* be

    6. Let callable type callableTypeIR with fresh type variables typeIdinserted*, defaults iddefault* and optionals idoptional* be

    7. Let typeIdinfer* be typeIdimpl* concatenated with typeIdinserted*.

    8. Let return type typeIRret with inferred typeArgumentIRinferred* and casted argumentIRcast* be

    9. Check that typeIRret is not equal to VOID.

    10. Let ctk be compile-time known-ness of callableTypeIR.

    11. Let callExpressionIR be callableTargetIR < typeArgumentIRinferred* > ( argumentIRcast* ).

    12. Let expressionNoteIR be a pair of type typeIRret and compile-time known-ness ctk.

    13. Result in callExpressionIR annotated with expressionNoteIR.

Calling a constructor
Click to view the specification source
rulegroup Expr_ok/callExpression-constructor:
  rule Expr_ok/prefixedTypeName:
  p TC |- prefixedTypeName `(argumentList) : callExpressionIR # expressionNoteIR
 -- ArgumentList_ok: p TC |- argumentList : argumentIR*
 -- if prefixedNameIR = $prefixedTypeName(prefixedTypeName)
 -- if constructorTargetIR = prefixedNameIR `<eps>
 -- ConstructorType_ok: p TC |- constructorTargetIR `(argumentIR*) : constructorTypeIR `<# typeId_impl*> `(# id_default* # id_optional*)
 -- Inst_ok: p TC ANON |- constructorTypeIR `<eps # typeId_impl*> `(argumentIR* # id_default* # id_optional*) : typeIR_object `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if $is_concrete_extern_object(typeIR_object)
 -- if callExpressionIR = (prefixedNameIR `<typeArgumentIR_inferred*>) `(argumentIR_cast*)
 -- if expressionNoteIR = `(typeIR_object CTK)
  rule Expr_ok/specializedType:
  p TC |- (prefixedTypeName `<typeArgumentList>) `(argumentList) : callExpressionIR # expressionNoteIR
 -- TypeArgumentList_ok: p TC |- typeArgumentList : typeArgumentIR* # typeId_impl*
 -- ArgumentList_ok: p TC |- argumentList : argumentIR*
 -- if prefixedNameIR = $prefixedTypeName(prefixedTypeName)
 -- if constructorTargetIR = prefixedNameIR `<typeArgumentIR*>
 -- ConstructorType_ok: p TC |- constructorTargetIR `(argumentIR*) : constructorTypeIR `<# typeId_inserted*> `(# id_default* # id_optional*)
 -- if typeId_infer* = typeId_impl* ++ typeId_inserted*
 -- Inst_ok: p TC ANON |- constructorTypeIR `<typeArgumentIR* # typeId_infer*> `(argumentIR* # id_default* # id_optional*) : typeIR_object `<typeArgumentIR_inferred*> `(argumentIR_cast*)
 -- if $is_concrete_extern_object(typeIR_object)
 -- if callExpressionIR = (prefixedNameIR `<typeArgumentIR_inferred*>) `(argumentIR_cast*)
 -- if expressionNoteIR = `(typeIR_object CTK)
  1. If let prefixedTypeName be callTarget:

    1. Let argumentIR* be

    2. Let prefixedNameIR be the prefixed name of prefixedTypeName.

    3. Let constructorTargetIR be prefixedNameIR < · >.

    4. Let constructorTypeIR with fresh type variables typeIdimpl*, defaults iddefault* and optionals idoptional* be

    5. Let constructed type typeIRobject with inferred typeArgumentIRinferred* and casted argumentIRcast* be

    6. Check that typeIRobject is an extern object type without abstract methods.

    7. Let callExpressionIR be prefixedNameIR < typeArgumentIRinferred* > ( argumentIRcast* ).

    8. Let expressionNoteIR be a pair of type typeIRobject and compile-time known-ness CTK.

    9. Result in callExpressionIR annotated with expressionNoteIR.

  2. Else if let prefixedTypeName < typeArgumentList > be callTarget:

    1. Let typeArgumentIR* and fresh type variables typeIdimpl* be

    2. Let argumentIR* be

    3. Let prefixedNameIR be the prefixed name of prefixedTypeName.

    4. Let constructorTargetIR be prefixedNameIR < typeArgumentIR* >.

    5. Let constructorTypeIR with fresh type variables typeIdinserted*, defaults iddefault* and optionals idoptional* be

    6. Let typeIdinfer* be typeIdimpl* concatenated with typeIdinserted*.

    7. Let constructed type typeIRobject with inferred typeArgumentIRinferred* and casted argumentIRcast* be

    8. Check that typeIRobject is an extern object type without abstract methods.

    9. Let callExpressionIR be prefixedNameIR < typeArgumentIRinferred* > ( argumentIRcast* ).

    10. Let expressionNoteIR be a pair of type typeIRobject and compile-time known-ness CTK.

    11. Result in callExpressionIR annotated with expressionNoteIR.

14.16.2. Local compile-time evaluation

Certain call expressions can be evaluated during type checking:

Click to view the specification source
rulegroup Expr_eval_lctk/callExpressionIR:
  rule Expr_eval_lctk/static_assert:
  p TC |- (prefixedNameIR `<typeArgumentIR*> `(argumentIR*)) # _ ~> boolValue
 -- CallableType_ok: p TC |- prefixedNameIR `<typeArgumentIR*> `(argumentIR*) : externFunctionTypeIR `<# _> `(# id_default* # id_optional*)
 -- if EXTERN_FUNCTION "static_assert" `(parameterIR*) : BOOL = externFunctionTypeIR
 -- (if _ _ _ nameIR_param _ = parameterIR)*
 -- if TC_callee_0 = $empty_typingContext
 -- if GIVEN parameterIR_aligned* DEFAULT eps = $align_parameterListIR(parameterIR*, argumentIR*, id_default*, id_optional*)
 -- (Argument_eval_lctk: p TC |- argumentIR ~> value_argument)*
 -- (if _ direction_param_aligned typeIR_param_aligned nameIR_param_aligned _ = parameterIR_aligned)*
 -- (if (varTypeIR = direction_param_aligned typeIR_param_aligned LCTK value_argument))*
 -- if TC_callee_1 = $add_vars_t(LOCAL, TC_callee_0, nameIR_param_aligned*, varTypeIR*)
 -- ExternFunctionCall_eval_lctk: TC_callee_1 |- "static_assert" `(nameIR_param*) ~> boolValue
 -- if `B true = boolValue
  rule Expr_eval_lctk/size-expression:
  p TC |- ((typedExpressionIR_base . nameIR) `<_> `(_)) # _ ~> $sizeof(typeIR_base, nameIR)
 -- if _ # `(typeIR_base _) = typedExpressionIR_base
 -- if nameIR <- ["minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes"]
  rule Expr_eval_lctk/size-type-monomorphic:
  p TC |- ((TYPE prefixedNameIR . nameIR) `<_> `(_)) # _ ~> $sizeof(typeIR_base, nameIR)
 -- if typeDefIR_base = $find_typeDef_t(p, TC, prefixedNameIR)
 -- if $is_monomorphic_typeDefIR(typeDefIR_base)
 -- if typeIR_base = $typeIR_of_typeDefIR(typeDefIR_base)
 -- if nameIR <- ["minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes"]
  rule Expr_eval_lctk/size-type-polymorphic:
  p TC |- ((TYPE prefixedNameIR . nameIR) `<_> `(_)) # _ ~> $sizeof(typeIR_base, nameIR)
 -- if typeDefIR_base = $find_typeDef_t(p, TC, prefixedNameIR)
 -- if ~$is_monomorphic_typeDefIR(typeDefIR_base)
 -- if (eps, eps) = $typeParameterListIR_of_typeDefIR(typeDefIR_base)
 -- if typeIR_base = $typeIR_of_typeDefIR(typeDefIR_base)
 -- if nameIR <- ["minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes"]
  rule Expr_eval_lctk/callExpressionIR-parenthesized:
  p TC |- ((`(callableTargetIR)) `<typeArgumentIR*> `(argumentIR*)) # `(typeIR ctk) ~> value
 -- Expr_eval_lctk: p TC |- (callableTargetIR `<typeArgumentIR*> `(argumentIR*)) # `(typeIR ctk) ~> value
  1. If let prefixedNameIR be callableTargetIR:

    1. Let callable type callableTypeIR with fresh type variables _*, defaults iddefault* and optionals idoptional* be

    2. Check that callableTypeIR has type externFunctionTypeIR.

    3. Let externFunctionTypeIR be callableTypeIR.

    4. Let EXTERN_FUNCTION text ( parameterIR* ) : typeIR be externFunctionTypeIR.

    5. Check that text is equal to "static_assert".

    6. Check that typeIR has type boolTypeIR.

    7. Let boolTypeIR be typeIR.

    8. Let nameIRparam* be the list obtained by repeating:

      • Let nameIRparam be the name of parameterIR.

      for each parameterIR in parameterIR*

    9. Let TCcallee_0 be an empty typing context.

    10. Let GIVEN parameterIRaligned* DEFAULT parameterIR'* be aligning parameterIR* with argumentIR* where defaults are iddefault* and optionals are idoptional*.

    11. Check that parameterIR'* is an empty list.

    12. Let valueargument* be the list obtained by repeating:

      for each argumentIR in argumentIR*

    13. Let directionparam_aligned* be the list, nameIRparam_aligned* be the list, and typeIRparam_aligned* be the list obtained by repeating:

      • Let directionparam_aligned, typeIRparam_aligned, and nameIRparam_aligned be the direction, the type, and the name of parameterIRaligned.

      for each parameterIRaligned in parameterIRaligned*

    14. Let varTypeIR* be the list obtained by repeating:

      • Let varTypeIR be directionparam_aligned typeIRparam_aligned LCTK valueargument.

      for each directionparam_aligned in directionparam_aligned*, typeIRparam_aligned in typeIRparam_aligned*, and valueargument in valueargument*

    15. Let TCcallee_1 be TCcallee_0 where each of nameIRparam_aligned* to each of varTypeIR* are added to the LOCAL layer.

    16. Let value be

    17. Check that value has type boolValue.

    18. Let boolValue be value.

    19. Check that `B true is equal to boolValue.

    20. Result in boolValue.

  2. Else if let typedExpressionIRbase . nameIR be callableTargetIR:

    1. Let a pair of type typeIRbase and compile-time known-ness _ be the note of typedExpressionIRbase.

    2. Check that nameIR is in [ "minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes" ].

    3. Result in $sizeof(typeIRbase, nameIR).

  3. Else if let TYPE prefixedNameIR . nameIR be callableTargetIR:

    1. Let typeDefIRbase be ! the type definition of prefixedNameIR from the p layer of TC.

    2. If typeDefIRbase is monomorphic:

      1. Let typeIRbase be the underlying type of typeDefIRbase.

      2. Check that nameIR is in [ "minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes" ].

      3. Result in $sizeof(typeIRbase, nameIR).

    3. Else:

      1. Check that ( ·, · ) is equal to the type parameters of typeDefIRbase.

      2. Let typeIRbase be the underlying type of typeDefIRbase.

      3. Check that nameIR is in [ "minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes" ].

      4. Result in $sizeof(typeIRbase, nameIR).

  4. Else:

    1. Let ( callableTargetIR' ) be callableTargetIR.

    2. Let typeIR and ctk be the type and the compile-time known-ness of expressionNoteIR.

    3. Let value be

    4. Result in value.

14.16.3. Compile-time evaluation

Call expressions may also be evaluated at compile time when instantiation phase takes place. A constructor call evaluates to an instance of the constructed type, while a callable call evaluates to the result of the call.

Calling a callable
Click to view the specification source
rulegroup Expr_inst/callExpressionIR-callable:
  rule Expr_inst/expression:
  p IC STO |- ((typedExpressionIR_base . nameIR) `<_> `(_)) # _ : STO $sizeof(typeIR_base, nameIR)
 -- if _ # `(typeIR_base _) = typedExpressionIR_base
 -- if nameIR <- ["minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes"]
  rule Expr_inst/type-monomorphic:
  p IC STO |- ((TYPE prefixedNameIR . nameIR) `<_> `(_)) # _ : STO $sizeof(typeIR_base, nameIR)
 -- if typeDefIR_base = $find_typeDef_i(p, IC, prefixedNameIR)
 -- if $is_monomorphic_typeDefIR(typeDefIR_base)
 -- if typeIR_base = $typeIR_of_typeDefIR(typeDefIR_base)
 -- if nameIR <- ["minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes"]
  rule Expr_inst/type-polymorphic:
  p IC STO |- ((TYPE prefixedNameIR . nameIR) `<_> `(_)) # _ : STO $sizeof(typeIR_base, nameIR)
 -- if typeDefIR_base = $find_typeDef_i(p, IC, prefixedNameIR)
 -- if ~$is_monomorphic_typeDefIR(typeDefIR_base)
 -- if (eps, eps) = $typeParameterListIR_of_typeDefIR(typeDefIR_base)
 -- if typeIR_base = $typeIR_of_typeDefIR(typeDefIR_base)
 -- if nameIR <- ["minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes"]
  1. If let typedExpressionIRbase . nameIR be callableTargetIR:

    1. Let a pair of type typeIRbase and compile-time known-ness _ be the note of typedExpressionIRbase.

    2. Check that nameIR is in [ "minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes" ].

    3. Result in store STO and $sizeof(typeIRbase, nameIR).

  2. Else if let TYPE prefixedNameIR . nameIR be callableTargetIR:

    1. Let typeDefIRbase be ! the type definition of prefixedNameIR from the p layer of IC.

    2. If typeDefIRbase is monomorphic:

      1. Let typeIRbase be the underlying type of typeDefIRbase.

      2. Check that nameIR is in [ "minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes" ].

      3. Result in store STO and $sizeof(typeIRbase, nameIR).

    3. Else:

      1. Check that ( ·, · ) is equal to the type parameters of typeDefIRbase.

      2. Let typeIRbase be the underlying type of typeDefIRbase.

      3. Check that nameIR is in [ "minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes" ].

      4. Result in store STO and $sizeof(typeIRbase, nameIR).

Calling a constructor
Click to view the specification source
rulegroup Expr_inst/callExpressionIR-constructor:
  rule Expr_inst/callExpressionIR-constructor:
  p IC STO_0 |- ((prefixedNameIR `<typeArgumentListIR>) `(argumentListIR)) # _ : STO_2 value_ref
 -- Constructor_inst: p IC |- prefixedNameIR `<typeArgumentListIR> `(argumentListIR) : constructorDef `<typeArgumentListIR_inst> `(# id_default* # id_optional*)
 -- Constructor_call: p IC STO_0 |- constructorDef `<typeArgumentListIR_inst> `(argumentListIR # id_default* # id_optional*) : STO_1 object
 -- if STO_2 = $add_store(STO_1, IC.PATH, object)
 -- if value_ref = REF IC.PATH
Parenthesized call
Click to view the specification source
rulegroup Expr_inst/callExpressionIR-parenthesized:
  rule Expr_inst/callExpressionIR-parenthesized:
  p IC STO_0 |- ((`(callableTargetIR)) `<typeArgumentListIR> `(argumentListIR)) # expressionNoteIR : STO_1 value
 -- Expr_inst: p IC STO_0 |- (callableTargetIR `<typeArgumentListIR> `(argumentListIR)) # expressionNoteIR : STO_1 value

14.16.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/callExpressionIR:
  rule Expr_eval/callee-abort:
  p EC_0 ARCH_0 |- (callableTargetIR `<typeArgumentIR*> `(argumentIR*)) # _ : EC_1 ARCH_1 abortResult
 -- Callee_eval: p EC_0 ARCH_0 |- callableTargetIR `<_> `(argumentIR*) : EC_1 ARCH_1 abortResult
  rule Expr_eval/callee-cont-call-abort:
  p EC_0 ARCH_0 |- (callableTargetIR `<typeArgumentIR*> `(argumentIR*)) # _ : EC_2 ARCH_2 abortResult
 -- Callee_eval: p EC_0 ARCH_0 |- callableTargetIR `<_> `(argumentIR*) : EC_1 ARCH_1 (` callee)
 -- Call_eval: p EC_1 ARCH_1 |- callee @ `<typeArgumentIR*> `(argumentIR*) : EC_2 ARCH_2 abortResult
  rule Expr_eval/callee-cont-call-return:
  p EC_0 ARCH_0 |- (callableTargetIR `<typeArgumentIR*> `(argumentIR*)) # _ : EC_2 ARCH_2 (` value)
 -- Callee_eval: p EC_0 ARCH_0 |- callableTargetIR `<_> `(argumentIR*) : EC_1 ARCH_1 (` callee)
 -- Call_eval: p EC_1 ARCH_1 |- callee @ `<typeArgumentIR*> `(argumentIR*) : EC_2 ARCH_2 (RETURN value)
  1. Let context EC1, state ARCH1, and callee calleeResult be

  2. If let abortResult be calleeResult:

    1. Result in context EC1, state ARCH1 and abortResult.

  3. Else:

    1. Let callee be calleeResult.

    2. Let context EC2, state ARCH2, and call result callResult be

    3. If let abortResult be callResult:

      1. Result in context EC2, state ARCH2 and abortResult.

    4. Else:

      1. Let RETURN value? be callResult.

      2. Check that value? is defined.

      3. Let value' be value?.

      4. Result in context EC2, state ARCH2 and value'.

14.17. Parenthesized expressions

Expressions may be enclosed in parentheses to explicitly specify the order of evaluation.

parenthesizedExpression
   : `( expression )
   ;

14.17.1. Type checking

After type checking, parenthesized expressions have the form:

parenthesizedExpressionIR
   : `( typedExpressionIR )
   ;
Click to view the specification source
rulegroup Expr_ok/parenthesizedExpression:
  rule Expr_ok/parenthesizedExpression:
  p TC |- `(expression) : (`(typedExpressionIR)) # expressionNoteIR
 -- Expr_ok: p TC |- expression : typedExpressionIR
 -- if typeIR = $type_of_typedExpressionIR(typedExpressionIR)
 -- if ctk = $ctk_of_typedExpressionIR(typedExpressionIR)
 -- if expressionNoteIR = `(typeIR ctk)

14.17.2. Local compile-time evaluation

Click to view the specification source
rulegroup Expr_eval_lctk/parenthesizedExpressionIR:
  rule Expr_eval_lctk/parenthesizedExpressionIR:
  p TC |- (`(typedExpressionIR)) # _ ~> value
 -- Expr_eval_lctk: p TC |- typedExpressionIR ~> value

14.17.3. Compile-time evaluation

Click to view the specification source
rulegroup Expr_inst/parenthesizedExpressionIR:
  rule Expr_inst/parenthesizedExpressionIR:
  p IC STO_0 |- (`(typedExpressionIR)) # _ : STO_1 value
 -- Expr_inst: p IC STO_0 |- typedExpressionIR : STO_1 value

14.17.4. Runtime evaluation

Click to view the specification source
rulegroup Expr_eval/parenthesizedExpressionIR:
  rule Expr_eval/parenthesizedExpressionIR:
  p EC_0 ARCH_0 |- (`(typedExpressionIR)) # _ : EC_1 ARCH_1 expressionResult
 -- Expr_eval: p EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 expressionResult
  1. Let context EC1, state ARCH1 and expressionResult be

  2. Result in context EC1, state ARCH1 and expressionResult.

15. Abstract parser machine

A parser declaration introduces a constructor for a parser object. See Section 10.4 and Section 11.11 for details.

parserDeclaration
   : annotationList PARSER name typeParameterListOpt `( parameterList )
       constructorParameterListOpt
       `{ parserLocalDeclarationList parserStateList }
   ;

parserLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | valueSetDeclaration
   ;

parserState
   : annotationList STATE name `{ parserStatementList transitionStatement }
   ;

This section describes the P4 constructs specific to parsing network packets.

15.1. Parser state machine

parserstatemachine
Figure 12. Parser FSM structure.

A P4 parser describes a state machine with one start state and two final states. The start state is always named start. The two final states are named accept (indicating successful parsing) and reject (indicating a parsing failure). The start state is part of the parser, while the accept and reject states are distinct from the states provided by the programmer and are logically outside of the parser. Figure 12 illustrates the general structure of a parser state machine.

The semantics of a P4 parser can be formulated in terms of an abstract machine that manipulates a ParserModel data structure. This section describes this abstract machine in pseudo-code.

A parser starts execution in the start state and ends execution when one of the reject or accept states has been reached.

ParserModel {
    error       parseError;
    onPacketArrival(packet p) {
        ParserModel.parseError = error.NoError;
        goto start;
    }
}

An architecture must specify the behavior when the accept and reject states are reached. For example, an architecture may specify that all packets reaching the reject state are dropped without further processing. Alternatively, it may specify that such packets are passed to the next block after the parser, with intrinsic metadata indicating that the parser reached the reject state, along with the error recorded.

15.1.1. Sub-parsers

P4 also allows parsers to invoke the services of other parsers, similar to subroutines. To invoke the services of another parser, the sub-parser must be first instantiated; the services of an instance are invoked by calling it using its apply method.

The following example shows a sub-parser invocation:

parser callee(packet_in packet, out IPv4 ipv4) { /* body omitted */ }
parser caller(packet_in packet, out Headers h) {
     callee() subparser;  // instance of callee
     state subroutine {
          subparser.apply(packet, h.ipv4);  // invoke sub-parser
          transition accept;  // accept if sub-parser ends in accept state
     }
}

The semantics of a sub-parser invocation can be described as follows:

  • The state invoking the sub-parser is split into two half-states at the parser invocation statement.

  • The top half includes a transition to the sub-parser start state.

  • The sub-parser’s accept state is identified with the bottom half of the current state

  • The sub-parser’s reject state is identified with the reject state of the current parser.

subparser
Figure 13. Semantics of invoking a sub-parser: top: original program, bottom: equivalent program.

Figure 13 shows a diagram of this process.

Note that since P4 requires definitions to precede uses, it is impossible to create recursive (or mutually recursive) parsers.

When a parser is instantiated, local instantiations of stateful objects are evaluated recursively. That is, each instantiation of a parser has a unique set of local parser value sets, extern objects, inner parser instances, etc. Thus, in general, invoking a parser instance twice is not the same as invoking two copies of the same parser instance. Note however that local variables do not persist across invocations of the parser. This semantics also applies to direct invocation (see Section 13.5).

Architectures may impose (static or dynamic) constraints on the number of parser states that can be traversed for processing each packet. For example, a compiler for a specific target may reject parsers containing loops that cannot be unrolled at compilation time or that may contain cycles that do not advance the cursor. If a parser aborts execution dynamically because it exceeded the time budget allocated for parsing, the parser should transition to reject and set the standard error error.ParserTimeout.

15.1.2. Runtime evaluation of a parser

At runtime, a parser is evaluated by invoking its apply method. The following algorithm describes the evaluation of a parser apply method invocation:

Click to view the specification source
rulegroup Call_eval/parserApplyMethodCallee:
  rule Call_eval/copyin-reject:
  p EC_0 ARCH_0 |- parserApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_1 ARCH_1 rejectTransitionResult
 -- if PARSER _ . APPLY `(parameterListIR # id_default*) `{theta ; frame ; parserLocalDeclarationListIR ; stateEnv} = parserApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(GLOBAL, EC_0)
 -- if EC_callee_1 = EC_callee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame][BLOCK.STATE = stateEnv]
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterListIR, argumentListIR, id_default*, eps)
 -- if p_shared = GLOBAL
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ BLOCK EC_callee_1 argumentListIR ~> ARCH_1 EC_1 EC_callee_2 # rejectTransitionResult
  rule Call_eval/copyin-cont-parserLocalDeclarationListIR-reject:
  p EC_0 ARCH_0 |- parserApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_2 ARCH_2 rejectTransitionResult
 -- if PARSER _ . APPLY `(parameterListIR # id_default*) `{theta ; frame ; parserLocalDeclarationListIR ; stateEnv} = parserApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(GLOBAL, EC_0)
 -- if EC_callee_1 = EC_callee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame][BLOCK.STATE = stateEnv]
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterListIR, argumentListIR, id_default*, eps)
 -- if p_shared = GLOBAL
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ BLOCK EC_callee_1 argumentListIR ~> ARCH_1 EC_1 EC_callee_2 # (` storageReference?*)
 -- Copy_in_default: parameterIR_default* @ BLOCK EC_callee_2 ~> EC_callee_3
 -- ParserLocalDecls_eval: EC_callee_3 ARCH_1 |- parserLocalDeclarationListIR : EC_callee_4 ARCH_2 rejectTransitionResult
 -- Copy_out: p_shared ARCH_2 |- p EC_1 parameterIR_aligned* @ BLOCK EC_callee_4 storageReference?* ~> EC_2
  rule Call_eval/copyin-cont-parserLocalDeclarationListIR-cont-transition-reject:
  p EC_0 ARCH_0 |- parserApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_2 ARCH_3 rejectTransitionResult
 -- if PARSER _ . APPLY `(parameterListIR # id_default*) `{theta ; frame ; parserLocalDeclarationListIR ; stateEnv} = parserApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(GLOBAL, EC_0)
 -- if EC_callee_1 = EC_callee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame][BLOCK.STATE = stateEnv]
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterListIR, argumentListIR, id_default*, eps)
 -- if p_shared = GLOBAL
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ BLOCK EC_callee_1 argumentListIR ~> ARCH_1 EC_1 EC_callee_2 # (` storageReference?*)
 -- Copy_in_default: parameterIR_default* @ BLOCK EC_callee_2 ~> EC_callee_3
 -- ParserLocalDecls_eval: EC_callee_3 ARCH_1 |- parserLocalDeclarationListIR : EC_callee_4 ARCH_2 continueEmptyResult
 -- ParserState_trans: EC_callee_4 ARCH_2 |- TRANSITION "start" : EC_callee_5 ARCH_3 rejectTransitionResult
 -- Copy_out: p_shared ARCH_3 |- p EC_1 parameterIR_aligned* @ BLOCK EC_callee_5 storageReference?* ~> EC_2
  rule Call_eval/parserLocalDeclarationListIR-cont-transition-accept:
  p EC_0 ARCH_0 |- parserApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_2 ARCH_3 (RETURN eps)
 -- if PARSER _ . APPLY `(parameterListIR # id_default*) `{theta ; frame ; parserLocalDeclarationListIR ; stateEnv} = parserApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(GLOBAL, EC_0)
 -- if EC_callee_1 = EC_callee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame][BLOCK.STATE = stateEnv]
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterListIR, argumentListIR, id_default*, eps)
 -- if p_shared = GLOBAL
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ BLOCK EC_callee_1 argumentListIR ~> ARCH_1 EC_1 EC_callee_2 # (` storageReference?*)
 -- Copy_in_default: parameterIR_default* @ BLOCK EC_callee_2 ~> EC_callee_3
 -- ParserLocalDecls_eval: EC_callee_3 ARCH_1 |- parserLocalDeclarationListIR : EC_callee_4 ARCH_2 continueEmptyResult
 -- ParserState_trans: EC_callee_4 ARCH_2 |- TRANSITION "start" : EC_callee_5 ARCH_3 ACCEPT
 -- Copy_out: p_shared ARCH_3 |- p EC_1 parameterIR_aligned* @ BLOCK EC_callee_5 storageReference?* ~> EC_2
  1. Let PARSER _ . APPLY ( parameterListIR # iddefault* ) { theta ; frame ; parserLocalDeclarationListIR ; stateEnv } be parserApplyMethodCallee.

  2. Let ECcallee_0 be copy of EC0 from the GLOBAL layer.

  3. Let ECcallee_1 be ECcallee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame] with BLOCK.STATE set to stateEnv.

  4. Let GIVEN parameterIRaligned* DEFAULT parameterIRdefault* be aligning parameterListIR with argumentListIR where defaults are iddefault* and optionals are ·.

  5. Let pshared be GLOBAL.

  6. Let state ARCH1, caller’s context EC1, callee’s context ECcallee_2, and copy-in result copyInResult be

  7. If let rejectTransitionResult be copyInResult:

    1. Result in context EC1, state ARCH1, and call result rejectTransitionResult.

  8. Else if let storageReference?* be copyInResult:

    1. Let ECcallee_3 be

    2. Let context ECcallee_4, state ARCH2, and result parserDeclarationResult be

    3. If let rejectTransitionResult be parserDeclarationResult:

      1. Let EC2 be

      2. Result in context EC2, state ARCH2, and call result rejectTransitionResult.

    4. Else:

      1. Let context ECcallee_5, state ARCH3, and transitionResult be

      2. If let rejectTransitionResult be transitionResult:

        1. Let EC2 be

        2. Result in context EC2, state ARCH3, and call result rejectTransitionResult.

      3. Else if let acceptTransitionResult be transitionResult:

        1. Let EC2 be

        2. Result in context EC2, state ARCH3, and call result RETURN ·.

15.1.3. Parser state transitions

At runtime, parser state transitions are defined as:

Click to view the specification source
relation ParserState_trans: evalContext arch |- TRANSITION nameIR : evalContext arch transitionResult

The result of a transition is:

transitionResult
   : acceptTransitionResult
   | rejectTransitionResult
   | stateTransitionResult
   ;

acceptTransitionResult
   : ACCEPT
   ;

rejectTransitionResult
   : REJECT errorValue
   ;

stateTransitionResult
   : STATE id
   ;
Click to view the specification source
rulegroup ParserState_trans:
  rule ParserState_trans/accept:
  EC_0 ARCH_0 |- TRANSITION nameIR : EC_1 ARCH_1 ACCEPT
 -- if parserStateIR = $find_parserState_e(EC_0, nameIR)
 -- ParserState_eval: EC_0 ARCH_0 |- parserStateIR : EC_1 ARCH_1 ACCEPT
  rule ParserState_trans/reject:
  EC_0 ARCH_0 |- TRANSITION nameIR : EC_1 ARCH_1 rejectTransitionResult
 -- if parserStateIR = $find_parserState_e(EC_0, nameIR)
 -- ParserState_eval: EC_0 ARCH_0 |- parserStateIR : EC_1 ARCH_1 rejectTransitionResult
  rule ParserState_trans/state:
  EC_0 ARCH_0 |- TRANSITION nameIR : EC_2 ARCH_2 transitionResult
 -- if parserStateIR = $find_parserState_e(EC_0, nameIR)
 -- ParserState_eval: EC_0 ARCH_0 |- parserStateIR : EC_1 ARCH_1 (STATE nameIR_next)
 -- ParserState_trans: EC_1 ARCH_1 |- TRANSITION nameIR_next : EC_2 ARCH_2 transitionResult
  1. Let parserStateIR' be ! the parser state of nameIR in EC0.

  2. Let context EC1, state ARCH1, and transitionResult be

  3. If let acceptTransitionResult be transitionResult:

    1. Result in context EC1, state ARCH1, and ACCEPT.

  4. Else if let rejectTransitionResult be transitionResult:

    1. Result in context EC1, state ARCH1, and rejectTransitionResult.

  5. Else:

    1. Let STATE nameIRnext be transitionResult.

    2. Let context EC2, state ARCH2, and transitionResult' be

    3. Result in context EC2, state ARCH2, and transitionResult'.

The following sections describe the components of a parser state transition in more detail.

15.2. Parser local declarations

Parser local declarations are defined as follows:

parserLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | valueSetDeclaration
   ;

parserLocalDeclarationList
   : /* empty */
   | parserLocalDeclarationList parserLocalDeclaration
   ;

15.2.1. Semantics of parser local declarations

15.2.1.1. Type checking
Click to view the specification source
relation ParserLocalDecl_ok: typingContext |- parserLocalDeclaration : typingContext parserLocalDeclarationIR

After type checking, parser local declarations are represented in P4IR as follows:

parserLocalDeclarationIR
   : constantDeclarationIR
   | instantiationIR
   | variableDeclarationIR
   | valueSetDeclarationIR
   ;

A list of parser local declarations is type checked by:

Click to view the specification source
relation ParserLocalDeclList_ok: typingContext |- parserLocalDeclarationList : typingContext parserLocalDeclarationIR*
Click to view the specification source
rulegroup ParserLocalDeclList_ok:
  rule ParserLocalDeclList_ok:
  TC_0 |- parserLocalDeclarationList : TC_1 parserLocalDeclarationIR*
 -- if parserLocalDeclaration* = $flatten_parserLocalDeclarationList(parserLocalDeclarationList)
 -- ParserLocalDecls_ok: TC_0 |- parserLocalDeclaration* : TC_1 parserLocalDeclarationIR*
  1. Let parserLocalDeclaration* be parserLocalDeclarationList flattened.

  2. Let the updated context TC1 and the typed parser local declarations parserLocalDeclarationIR* be

  3. Result in context TC1 and parserLocalDeclarationIR*.

Click to view the specification source
relation ParserLocalDecls_ok: typingContext |- parserLocalDeclaration* : typingContext parserLocalDeclarationIR*
Click to view the specification source
rulegroup ParserLocalDecls_ok:
  rule ParserLocalDecls_ok/nil:
  TC |- eps : TC eps
  rule ParserLocalDecls_ok/cons:
  TC_0 |- parserLocalDeclaration_h :: parserLocalDeclaration_t* : TC_2 (parserLocalDeclarationIR_h :: parserLocalDeclarationIR_t*)
 -- ParserLocalDecl_ok: TC_0 |- parserLocalDeclaration_h : TC_1 parserLocalDeclarationIR_h
 -- ParserLocalDecls_ok: TC_1 |- parserLocalDeclaration_t* : TC_2 parserLocalDeclarationIR_t*
  1. If parserLocalDeclaration* is equal to ·:

    1. Result in the updated context typingContext and the typed parser local declarations ·.

  2. If let parserLocalDeclarationh :: parserLocalDeclarationt* be parserLocalDeclaration*:

    1. Let context TC1 and parserLocalDeclarationIRh be

    2. Let the updated context TC2 and the typed parser local declarations parserLocalDeclarationIRt* be

    3. Result in the updated context TC2 and the typed parser local declarations parserLocalDeclarationIRh :: parserLocalDeclarationIRt*.

15.2.1.2. Compile-time evaluation
Click to view the specification source
relation ParserLocalDecl_inst: instContext store |- parserLocalDeclarationIR : instContext store parserLocalDeclarationIR

A list of parser local declarations is compile-time evaluated by:

Click to view the specification source
relation ParserLocalDecls_inst: instContext store |- parserLocalDeclarationIR* : instContext store parserLocalDeclarationIR*
Click to view the specification source
rulegroup ParserLocalDecls_inst:
  rule ParserLocalDecls_inst/nil:
  IC STO |- eps : IC STO eps
  rule ParserLocalDecls_inst/cons:
  IC_0 STO_0 |- parserLocalDeclarationIR_h :: parserLocalDeclarationIR_t* : IC_2 STO_2 (parserLocalDeclarationIR_h_inst :: parserLocalDeclarationIR_t_inst*)
 -- ParserLocalDecl_inst: IC_0 STO_0 |- parserLocalDeclarationIR_h : IC_1 STO_1 parserLocalDeclarationIR_h_inst
 -- ParserLocalDecls_inst: IC_1 STO_1 |- parserLocalDeclarationIR_t* : IC_2 STO_2 parserLocalDeclarationIR_t_inst*
  1. If parserLocalDeclarationIR* is equal to ·:

    1. Result in context instContext, store store, and ·.

  2. If let parserLocalDeclarationIRh :: parserLocalDeclarationIRt* be parserLocalDeclarationIR*:

    1. Let context IC1, store STO1, and parserLocalDeclarationIRh_inst be

    2. Let context IC2, store STO2, and parserLocalDeclarationIRt_inst* be

    3. Result in context IC2, store STO2, and parserLocalDeclarationIRh_inst :: parserLocalDeclarationIRt_inst*.

15.2.1.3. Runtime evaluation
Click to view the specification source
relation ParserLocalDecl_eval: evalContext arch |- parserLocalDeclarationIR : evalContext arch parserDeclarationResult

Evaluation of a parser local declaration yields:

parserDeclarationResult = parserStatementResult

parserStatementResult
   : continueEmptyResult
   | rejectTransitionResult
   ;

continueEmptyResult
   : /* empty */
   ;

rejectTransitionResult
   : REJECT errorValue
   ;

A list of parser local declarations is runtime evaluated by:

Click to view the specification source
relation ParserLocalDecls_eval: evalContext arch |- parserLocalDeclarationIR* : evalContext arch parserDeclarationResult
Click to view the specification source
rulegroup ParserLocalDecls_eval:
  rule ParserLocalDecls_eval/nil:
  EC ARCH |- eps : EC ARCH `EMPTY
  rule ParserLocalDecls_eval/cons-reject:
  EC_0 ARCH_0 |- parserLocalDeclarationIR_h :: parserLocalDeclarationListIR_t : EC_1 ARCH_1 rejectTransitionResult
 -- ParserLocalDecl_eval: EC_0 ARCH_0 |- parserLocalDeclarationIR_h : EC_1 ARCH_1 rejectTransitionResult
  rule ParserLocalDecls_eval/cons-cont:
  EC_0 ARCH_0 |- parserLocalDeclarationIR_h :: parserLocalDeclarationListIR_t : EC_2 ARCH_2 parserStatementResult
 -- ParserLocalDecl_eval: EC_0 ARCH_0 |- parserLocalDeclarationIR_h : EC_1 ARCH_1 continueEmptyResult
 -- ParserLocalDecls_eval: EC_1 ARCH_1 |- parserLocalDeclarationListIR_t : EC_2 ARCH_2 parserStatementResult
  1. If parserLocalDeclarationIR* is equal to ·:

    1. Result in context evalContext, state arch, and result `EMPTY.

  2. If let parserLocalDeclarationIRh :: parserLocalDeclarationListIRt be parserLocalDeclarationIR*:

    1. Let context EC1, state ARCH1, and result parserDeclarationResult be

    2. If let rejectTransitionResult be parserDeclarationResult:

      1. Result in context EC1, state ARCH1, and result rejectTransitionResult.

    3. Else:

      1. Let context EC2, state ARCH2, and result parserStatementResult be

      2. Result in context EC2, state ARCH2, and result parserStatementResult.

The subsequent sections describe each kind of declaration in detail.

15.2.2. Constant declarations

See Section 11.3 for general information about constant declarations.

15.2.2.1. Type checking
Click to view the specification source
rulegroup ParserLocalDecl_ok/constantDeclaration:
  rule ParserLocalDecl_ok/constantDeclaration:
  TC_0 |- constantDeclaration : TC_1 constantDeclarationIR
 -- ConstDecl_ok: BLOCK TC_0 |- constantDeclaration : TC_1 constantDeclarationIR
  1. Let context TC1 and constantDeclarationIR be

  2. Result in context TC1 and constantDeclarationIR.

15.2.2.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserLocalDecl_inst/constantDeclarationIR:
  rule ParserLocalDecl_inst/constantDeclarationIR:
  IC_0 STO |- constantDeclarationIR : IC_1 STO constantDeclarationIR
 -- ConstDecl_inst: BLOCK IC_0 |- constantDeclarationIR : IC_1
  1. Let context IC1 be

  2. Result in context IC1, store STO, and constantDeclarationIR.

15.2.2.3. Runtime evaluation
Click to view the specification source
rulegroup ParserLocalDecl_eval/constantDeclarationIR:
  rule ParserLocalDecl_eval/constantDeclarationIR:
  EC_0 ARCH |- constantDeclarationIR : EC_1 ARCH `EMPTY
 -- ConstDecl_eval: BLOCK EC_0 |- constantDeclarationIR : EC_1

15.2.3. Instantiations

See Section 11.4 for general information about instantiations.

15.2.3.1. Type checking
Click to view the specification source
rulegroup ParserLocalDecl_ok/instantiation:
  rule ParserLocalDecl_ok/instantiation:
  TC_0 |- instantiation : TC_1 instantiationIR
 -- InstDecl_ok: BLOCK TC_0 |- instantiation : TC_1 instantiationIR
  1. Let context TC1 and instantiationIR be

  2. Result in context TC1 and instantiationIR.

15.2.3.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserLocalDecl_inst/instantiationIR:
  rule ParserLocalDecl_inst/instantiationIR:
  IC_0 STO_0 |- instantiationIR : IC_1 STO_1 constantDeclarationIR_inst
 -- InstDecl_inst: BLOCK IC_0 STO_0 |- instantiationIR : IC_1 STO_1 constantDeclarationIR_inst
  1. Let context IC1, store STO1, and reference to object constantDeclarationIRinst be

  2. Result in context IC1, store STO1, and constantDeclarationIRinst.

15.2.4. Variable declarations

See Section 11.2 for general information about variable declarations.

15.2.4.1. Type checking
Click to view the specification source
rulegroup ParserLocalDecl_ok/variableDeclaration:
  rule ParserLocalDecl_ok/variableDeclaration:
  TC_0 |- variableDeclaration : TC_1 variableDeclarationIR
 -- VarDecl_ok: BLOCK TC_0 |- variableDeclaration : TC_1 variableDeclarationIR
  1. Let context TC1 and variableDeclarationIR be

  2. Result in context TC1 and variableDeclarationIR.

15.2.4.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserLocalDecl_inst/variableDeclarationIR:
  rule ParserLocalDecl_inst/variableDeclarationIR:
  IC STO |- variableDeclarationIR : IC STO variableDeclarationIR
  1. Result in context IC0, store STO, and variableDeclarationIR.

15.2.4.3. Runtime evaluation
Click to view the specification source
rulegroup ParserLocalDecl_eval/variableDeclarationIR:
  rule ParserLocalDecl_eval/reject:
  EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 rejectTransitionResult
 -- VarDecl_eval: BLOCK EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 rejectTransitionResult
  rule ParserLocalDecl_eval/cont:
  EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 `EMPTY
 -- VarDecl_eval: BLOCK EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 `EMPTY
  1. Let context EC1, state ARCH1, and result declarationResult be

  2. If let rejectTransitionResult be declarationResult:

    1. Result in context EC1, state ARCH1, and result rejectTransitionResult.

  3. Else if let continueEmptyResult be declarationResult:

    1. Result in context EC1, state ARCH1, and result `EMPTY.

15.2.5. Parser value set declarations

Parser value sets are declared with the syntax:

valueSetDeclaration
   : annotationList VALUE_SET `< valueSetType > `( expression ) name ;
   ;

valueSetType
   : baseType
   | tupleType
   | prefixedTypeName
   ;

See Section 10.7 for general information about value sets.

15.2.5.1. Type checking
Click to view the specification source
rulegroup ParserLocalDecl_ok/valueSetDeclaration:
  rule ParserLocalDecl_ok/valueSetDeclaration:
  TC_0 |- annotationList VALUE_SET `<valueSetType> `(expression) name ; : TC_1 valueSetDeclarationIR
 -- Type_ok: BLOCK TC_0 |- valueSetType : typeIR # eps
 -- Type_wf: $bound(BLOCK, TC_0) |- SET `<typeIR>
 -- Expr_ok: BLOCK TC_0 |- expression : typedExpressionIR
 -- if DYN =/= $ctk_of_typedExpressionIR(typedExpressionIR)
 -- if nameIR = $name(name)
 -- if varTypeIR = `EMPTY (SET `<typeIR>) CTK eps
 -- if TC_1 = $add_var_t(BLOCK, TC_0, nameIR, varTypeIR)
 -- if valueSetDeclarationIR = annotationList VALUE_SET `<typeIR> `(typedExpressionIR) nameIR ;
  1. Let typeIR and fresh type variables typeId* be

  2. Check that typeId* is an empty list.

  3. Let bound be bound type variables from the BLOCK layer of TC0.

  4. Check that SET < typeIR > is a well-formed type, with bound type variables bound.

  5. Let typedExpressionIR be

  6. Check that the compile-time known-ness of typedExpressionIR does not match pattern DYN.

  7. Let nameIR be the name of name.

  8. Let varTypeIR be `EMPTY SET < typeIR > CTK ·.

  9. Let TC1 be TC0 where nameIR to varTypeIR is added to the BLOCK layer.

  10. Let valueSetDeclarationIR be annotationList VALUE_SET < typeIR > ( typedExpressionIR ) nameIR ;.

  11. Result in context TC1 and valueSetDeclarationIR.

15.2.5.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserLocalDecl_inst/valueSetDeclarationIR:
  rule ParserLocalDecl_inst/valueSetDeclarationIR:
  IC STO_0 |- annotationList VALUE_SET `<typeIR> `(typedExpressionIR_size) nameIR ; : IC STO_2 constantDeclarationIR
 -- Expr_inst: BLOCK IC STO_0 |- typedExpressionIR_size : STO_1 integerValue_size
 -- if n_size = $nat_of_integerValue(integerValue_size)
 -- if typeIR_subst = $subst_type_i(BLOCK, IC, typeIR)
 -- if value* = $repeat_<value>($default(typeIR_subst), n_size)
 -- if valueSetObject = VALUE_SET `{value* `(n_size)}
 -- if objectId = IC.PATH ++ nameIR
 -- if STO_2 = $add_store(STO_1, objectId, valueSetObject)
 -- if typeIR_set = SET `<typeIR>
 -- if constantDeclarationIR = `EMPTY CONST typeIR_set nameIR (= `VALUE (REF objectId)) ;
  1. Let store STO1 and value be

  2. Check that value has type integerValue.

  3. Let integerValuesize be value.

  4. Let nsize be ! the natural number representation of integerValuesize.

  5. Let typeIRsubst be typeIR substituted by bound type variables in IC0 from the BLOCK layer.

  6. Let value'' be the default value for type typeIRsubst.

  7. Let value'* be a list of nsize copies of value''.

  8. Let valueSetObject be VALUE_SET { value'* ( nsize ) }.

  9. Let objectId be IC0.PATH concatenated with nameIR.

  10. Let STO2 be STO1 where objectId to valueSetObject is added.

  11. Let typeIRset be SET < typeIR >.

  12. Let constantDeclarationIR be `EMPTY CONST typeIRset nameIR = `VALUE REF objectId ;.

  13. Result in context IC0, store STO2, and constantDeclarationIR.

After compile-time evaluation, parser value set declarations are represented in P4IR as follows:

valueSetDeclarationIR
   : annotationList VALUE_SET `< typeIR > `( typedExpressionIR ) nameIR ;
   ;

15.3. Parser states

A parser state is declared with the following syntax:

parserState
   : annotationList STATE name `{ parserStatementList transitionStatement }
   ;

Each state has a name and a body. The body consists of a sequence of statements that describe the processing performed when the parser transitions to that state, including:

  • Local variable declarations,

  • Assignment statements,

  • Method calls, which serve several purposes:

    • Invoking functions (e.g., using verify to check the validity of data already parsed), and

    • Invoking methods (e.g., extracting data out of packets or computing checksums) and other parsers (see Section 15.1.1), and

  • Conditional statements,

  • Transitions to other states (discussed in Section 15.5).

Architectures may place restrictions on the expressions and statements that can be used in a parser—​e.g., they may forbid the use of operations such as multiplication or place restrictions on the number of local variables that may be used.

15.3.1. Type checking

A list of parser states is type checked with the following relation:

Click to view the specification source
relation ParserStateList_ok: typingContext |- parserStateList : parserStateIR*
Click to view the specification source
rulegroup ParserStateList_ok:
  rule ParserStateList_ok:
  TC |- parserStateList : parserStateIR*
 -- if parserState* = $flatten_parserStateList(parserStateList)
 -- (if (_ STATE name_state `{_ _} = parserState))*
 -- (if (nameIR_state = $name(name_state)))*
 -- if $distinct_<nameIR>(nameIR_state*)
 -- if "start" <- nameIR_state*
 -- if ~("accept" <- nameIR_state*) /\ ~("reject" <- nameIR_state*)
 -- if nameIR_state_impl* = "accept" :: "reject" :: nameIR_state*
 -- (ParserState_ok: TC nameIR_state_impl* |- parserState : parserStateIR)*
  1. Let parserState* be parserStateList flattened.

  2. Let namestate* be the list obtained by repeating:

    • Let _ STATE namestate { _ _ } be parserState.

    for each parserState in parserState*

  3. Let nameIRstate* be the list obtained by repeating:

    for each namestate in namestate*

  4. Check that the elements of nameIRstate* are distinct.

  5. Check that "start" is in nameIRstate*.

  6. Check that "accept" is not in nameIRstate* and "reject" is not in nameIRstate*.

  7. Let nameIRstate_impl* be "accept" :: "reject" :: nameIRstate*.

  8. Let parserStateIR* be the list obtained by repeating:

    for each parserState in parserState*

  9. Result in parserStateIR*.

A parser state is type checked with the following relation:

Click to view the specification source
relation ParserState_ok: typingContext nameIR* |- parserState : parserStateIR
Click to view the specification source
rulegroup ParserState_ok:
  rule ParserState_ok:
  TC_0 nameIR_state* |- parserState : parserStateIR
 -- if annotationList STATE name `{parserStatementList transitionStatement} = parserState
 -- if nameIR = $name(name)
 -- if TC_1 = $enter_t(TC_0)
 -- if parserStatement* = $flatten_parserStatementList(parserStatementList)
 -- ParserStmts_ok: TC_1 |- parserStatement* : TC_2 parserStatementIR*
 -- ParserTransition_ok: TC_2 nameIR_state* |- transitionStatement : transitionStatementIR
 -- if TC_3 = $exit_t(TC_2)
 -- if parserStateIR = annotationList STATE nameIR `{parserStatementIR* transitionStatementIR}
  1. Let annotationList STATE name { parserStatementList transitionStatement } be parserState.

  2. Let nameIR be the name of name.

  3. Let TC1 be TC0 with a new local frame.

  4. Let parserStatement* be parserStatementList flattened.

  5. Let the updated context TC2 and the typed parser statements parserStatementIR* be

  6. Let typed transition statement transitionStatementIR be

  7. Let TC3 be TC2 with the innermost frame removed.

  8. Let parserStateIR be annotationList STATE nameIR { parserStatementIR* transitionStatementIR }.

  9. Result in parserStateIR.

15.3.2. Compile-time evaluation

A list parser states is compile-time evaluated with the following relation:

Click to view the specification source
relation ParserStates_inst: instContext store |- parserStateIR* : instContext store
Click to view the specification source
rulegroup ParserStates_inst:
  rule ParserStates_inst/nil:
  IC STO |- eps : IC STO
  rule ParserStates_inst/cons:
  IC_0 STO_0 |- parserStateIR_h :: parserStateIR_t* : IC_2 STO_2
 -- ParserState_inst: IC_0 STO_0 |- parserStateIR_h : IC_1 STO_1
 -- ParserStates_inst: IC_1 STO_1 |- parserStateIR_t* : IC_2 STO_2
  1. If parserStateIR* is equal to ·:

    1. Result in context instContext and store store.

  2. If let parserStateIRh :: parserStateIRt* be parserStateIR*:

    1. Let context IC1 and store STO1 be

    2. Let context IC2 and store STO2 be

    3. Result in context IC2 and store STO2.

A parser state is compile-time evaluated with the following relation:

Click to view the specification source
relation ParserState_inst: instContext store |- parserStateIR : instContext store
Click to view the specification source
rulegroup ParserState_inst:
  rule ParserState_inst:
  IC_0 STO_0 |- parserStateIR : IC_2 STO_1
 -- if annotationList STATE nameIR `{parserStatementListIR transitionStatementIR} = parserStateIR
 -- ParserStmts_inst: IC_0 STO_0 |- parserStatementListIR : IC_1 STO_1 parserStatementListIR_inst
 -- if parserStateIR_inst = annotationList STATE nameIR `{parserStatementListIR_inst transitionStatementIR}
 -- if IC_2 = $add_parserState_i(IC_1, nameIR, parserStateIR_inst)
  1. Let annotationList STATE nameIR { parserStatementListIR transitionStatementIR } be parserStateIR.

  2. Let context IC1 and store STO1 be

  3. Let parserStateIRinst be annotationList STATE nameIR { parserStatementListIRinst transitionStatementIR }.

  4. Let IC2 be IC1 where nameIR to parserStateIRinst is added.

  5. Result in context IC2 and store STO1.

15.3.3. Runtime evaluation

A parser state is runtime evaluated with the following relation:

Click to view the specification source
relation ParserState_eval: evalContext arch |- parserStateIR : evalContext arch transitionResult

The result of evaluation is a state transition,

transitionResult
   : acceptTransitionResult
   | rejectTransitionResult
   | stateTransitionResult
   ;
Click to view the specification source
rulegroup ParserState_eval:
  rule ParserState_eval/reject:
  EC_0 ARCH_0 |- parserStateIR : EC_1 ARCH_1 rejectTransitionResult
 -- if annotationList STATE nameIR `{parserStatementListIR transitionStatementIR} = parserStateIR
 -- ParserStmts_eval: EC_0 ARCH_0 |- parserStatementListIR : EC_1 ARCH_1 rejectTransitionResult
  rule ParserState_eval/cont:
  EC_0 ARCH_0 |- parserStateIR : EC_2 ARCH_2 transitionResult
 -- if annotationList STATE nameIR `{parserStatementListIR transitionStatementIR} = parserStateIR
 -- ParserStmts_eval: EC_0 ARCH_0 |- parserStatementListIR : EC_1 ARCH_1 `EMPTY
 -- ParserTransition_eval: EC_1 ARCH_1 |- transitionStatementIR : EC_2 ARCH_2 transitionResult
  1. Let annotationList STATE nameIR { parserStatementListIR transitionStatementIR } be parserStateIR.

  2. Let context EC1, state ARCH1, and parserStatementResult be

  3. If let rejectTransitionResult be parserStatementResult:

    1. Result in context EC1, state ARCH1, and rejectTransitionResult.

  4. Else:

    1. Let continueEmptyResult be parserStatementResult.

    2. Let context EC2, state ARCH2, and transitionResult be

    3. Result in context EC2, state ARCH2, and transitionResult.

15.4. Parser statements

The syntax for parser statements is given by the following grammar rules:

parserStatement
   : constantDeclaration
   | variableDeclaration
   | emptyStatement
   | assignmentStatement
   | callStatement
   | directApplicationStatement
   | parserBlockStatement
   | parserConditionalStatement
   ;

parserBlockStatement
   : annotationList `{ parserStatementList }
   ;

parserConditionalStatement
   : IF `( expression ) parserStatement
   | IF `( expression ) parserStatement ELSE parserStatement
   ;

parserStatementList
   : /* empty */
   | parserStatementList parserStatement
   ;

15.4.1. Semantics of parser statements

15.4.1.1. Type checking
Click to view the specification source
relation ParserStmt_ok: typingContext |- parserStatement : typingContext parserStatementIR

After type checking, parser statements are represented in P4IR as follows:

parserStatementIR
   : constantDeclarationIR
   | variableDeclarationIR
   | emptyStatementIR
   | assignmentStatementIR
   | callStatementIR
   | directApplicationStatementIR
   | parserBlockStatementIR
   | parserConditionalStatementIR
   ;

parserBlockStatementIR
   : annotationList `{ parserStatementListIR }
   ;

parserConditionalStatementIR
   : IF `( typedExpressionIR ) parserStatementIR
   | IF `( typedExpressionIR ) parserStatementIR ELSE parserStatementIR
   ;

A list of parser statements is type checked by:

Click to view the specification source
relation ParserStmtList_ok: typingContext |- parserStatementList : typingContext parserStatementIR*
Click to view the specification source
rulegroup ParserStmtList_ok:
  rule ParserStmtList_ok:
  TC_0 |- parserStatementList : TC_1 parserStatementIR*
 -- if parserStatement* = $flatten_parserStatementList(parserStatementList)
 -- ParserStmts_ok: TC_0 |- parserStatement* : TC_1 parserStatementIR*
  1. Let parserStatement* be parserStatementList flattened.

  2. Let the updated context TC1 and the typed parser statements parserStatementIR* be

  3. Result in context TC1 and typed parser statements parserStatementIR*.

Click to view the specification source
relation ParserStmts_ok: typingContext |- parserStatement* : typingContext parserStatementIR*
Click to view the specification source
rulegroup ParserStmts_ok:
  rule ParserStmts_ok/nil:
  TC |- eps : TC eps
  rule ParserStmts_ok/cons:
  TC_0 |- parserStatement_h :: parserStatement_t* : TC_2 (parserStatementIR_h :: parserStatementIR_t*)
 -- ParserStmt_ok: TC_0 |- parserStatement_h : TC_1 parserStatementIR_h
 -- ParserStmts_ok: TC_1 |- parserStatement_t* : TC_2 parserStatementIR_t*
  1. If parserStatement* is equal to ·:

    1. Result in the updated context typingContext and the typed parser statements ·.

  2. If let parserStatementh :: parserStatementt* be parserStatement*:

    1. Let context TC1 and typed parser statement parserStatementIRh be

    2. Let the updated context TC2 and the typed parser statements parserStatementIRt* be

    3. Result in the updated context TC2 and the typed parser statements parserStatementIRh :: parserStatementIRt*.

15.4.1.2. Compile-time evaluation
Click to view the specification source
relation ParserStmt_inst: instContext store |- parserStatementIR : instContext store parserStatementIR

A list of parser statements is compile-time evaluated by:

Click to view the specification source
relation ParserStmts_inst: instContext store |- parserStatementIR* : instContext store parserStatementIR*
Click to view the specification source
rulegroup ParserStmts_inst:
  rule ParserStmts_inst/nil:
  IC STO |- eps : IC STO eps
  rule ParserStmts_inst/cons:
  IC_0 STO_0 |- parserStatementIR_h :: parserStatementIR_t* : IC_2 STO_2 (parserStatementIR_h_inst :: parserStatementIR_t_inst*)
 -- ParserStmt_inst: IC_0 STO_0 |- parserStatementIR_h : IC_1 STO_1 parserStatementIR_h_inst
 -- ParserStmts_inst: IC_1 STO_1 |- parserStatementIR_t* : IC_2 STO_2 parserStatementIR_t_inst*
  1. If parserStatementIR* is equal to ·:

    1. Result in context instContext and store store.

  2. If let parserStatementIRh :: parserStatementIRt* be parserStatementIR*:

    1. Let context IC1 and store STO1 be

    2. Let context IC2 and store STO2 be

    3. Result in context IC2 and store STO2.

15.4.1.3. Runtime evaluation
Click to view the specification source
relation ParserStmt_eval: evalContext arch |- parserStatementIR : evalContext arch parserStatementResult

Evaluation of a parser statement yields:

parserStatementResult
   : continueEmptyResult
   | rejectTransitionResult
   ;

continueEmptyResult
   : /* empty */
   ;

rejectTransitionResult
   : REJECT errorValue
   ;

A list of parser statements is runtime evaluated by:

Click to view the specification source
relation ParserStmts_eval: evalContext arch |- parserStatementListIR : evalContext arch parserStatementResult
Click to view the specification source
rulegroup ParserStmts_eval:
  rule ParserStmts_eval/nil:
  EC ARCH |- eps : EC ARCH `EMPTY
  rule ParserStmts_eval/cons-head-reject:
  EC_0 ARCH_0 |- parserStatementIR_h :: parserStatementIR_t* : EC_1 ARCH_1 rejectTransitionResult
 -- ParserStmt_eval: EC_0 ARCH_0 |- parserStatementIR_h : EC_1 ARCH_1 rejectTransitionResult
  rule ParserStmts_eval/cons-head-cont:
  EC_0 ARCH_0 |- parserStatementIR_h :: parserStatementIR_t* : EC_2 ARCH_2 parserStatementResult
 -- ParserStmt_eval: EC_0 ARCH_0 |- parserStatementIR_h : EC_1 ARCH_1 `EMPTY
 -- ParserStmts_eval: EC_1 ARCH_1 |- parserStatementIR_t* : EC_2 ARCH_2 parserStatementResult
  1. If parserStatementIR* is equal to ·:

    1. Result in context evalContext, state arch, and `EMPTY.

  2. If let parserStatementIRh :: parserStatementIRt* be parserStatementIR*:

    1. Let context EC1, state ARCH1, and parserStatementResult be

    2. If let rejectTransitionResult be parserStatementResult:

      1. Result in context EC1, state ARCH1, and rejectTransitionResult.

    3. Else:

      1. Let continueEmptyResult be parserStatementResult.

      2. Let context EC2, state ARCH2, and parserStatementResult' be

      3. Result in context EC2, state ARCH2, and parserStatementResult'.

The subsequent sections describe each kind of statement in detail.

15.4.2. Constant declaration

See Section 11.3 for general information about constant declarations.

15.4.2.1. Type checking
Click to view the specification source
rulegroup ParserStmt_ok/constantDeclaration:
  rule ParserStmt_ok/constantDeclaration:
  TC_0 |- constantDeclaration : TC_1 constantDeclarationIR
 -- ConstDecl_ok: LOCAL TC_0 |- constantDeclaration : TC_1 constantDeclarationIR
  1. Let context TC1 and constantDeclarationIR be

  2. Result in context TC1 and typed parser statement constantDeclarationIR.

15.4.2.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserStmt_inst/constantDeclarationIR:
  rule ParserStmt_inst/constantDeclarationIR:
  IC_0 STO |- constantDeclarationIR : IC_1 STO constantDeclarationIR
 -- ConstDecl_inst: LOCAL IC_0 |- constantDeclarationIR : IC_1
15.4.2.3. Runtime evaluation
Click to view the specification source
rulegroup ParserStmt_eval/constantDeclarationIR:
  rule ParserStmt_eval/constantDeclarationIR:
  EC_0 ARCH |- constantDeclarationIR : EC_1 ARCH `EMPTY
 -- ConstDecl_eval: LOCAL EC_0 |- constantDeclarationIR : EC_1

15.4.3. Variable declaration

See Section 11.2 for general information about variable declarations.

15.4.3.1. Type checking
Click to view the specification source
rulegroup ParserStmt_ok/variableDeclaration:
  rule ParserStmt_ok/variableDeclaration:
  TC_0 |- variableDeclaration : TC_1 variableDeclarationIR
 -- VarDecl_ok: LOCAL TC_0 |- variableDeclaration : TC_1 variableDeclarationIR
  1. Let context TC1 and variableDeclarationIR be

  2. Result in context TC1 and typed parser statement variableDeclarationIR.

15.4.3.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserStmt_inst/variableDeclarationIR:
  rule ParserStmt_inst/variableDeclarationIR:
  IC STO |- variableDeclarationIR : IC STO variableDeclarationIR
15.4.3.3. Runtime evaluation
Click to view the specification source
rulegroup ParserStmt_eval/variableDeclarationIR:
  rule ParserStmt_eval/reject:
  EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 rejectTransitionResult
 -- VarDecl_eval: LOCAL EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 rejectTransitionResult
  rule ParserStmt_eval/cont:
  EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 `EMPTY
 -- VarDecl_eval: LOCAL EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 `EMPTY
  1. Let context EC1, state ARCH1, and result declarationResult be

  2. If let rejectTransitionResult be declarationResult:

    1. Result in context EC1, state ARCH1, and rejectTransitionResult.

  3. Else if let continueEmptyResult be declarationResult:

    1. Result in context EC1, state ARCH1, and `EMPTY.

15.4.4. Empty statement

See Section 13.2 for general information about empty statements.

15.4.4.1. Type checking
Click to view the specification source
rulegroup ParserStmt_ok/emptyStatement:
  rule ParserStmt_ok/emptyStatement:
  TC |- emptyStatement : TC emptyStatementIR
 -- Stmt_ok: LOCAL TC CONT NOLOOP |- emptyStatement : TC CONT emptyStatementIR
  1. Let context typingContext, abstract control flow flow, and statementIR be

  2. Check that typingContext is equal to TC0.

  3. Check that flow is CONT.

  4. Check that statementIR has type emptyStatementIR.

  5. Let emptyStatementIR be statementIR.

  6. Result in context TC0 and typed parser statement emptyStatementIR.

15.4.4.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserStmt_inst/emptyStatementIR:
  rule ParserStmt_inst/emptyStatementIR:
  IC_0 STO_0 |- emptyStatementIR : IC_1 STO_1 emptyStatementIR_inst
 -- Stmt_inst: LOCAL IC_0 STO_0 |- emptyStatementIR : IC_1 STO_1 emptyStatementIR_inst
  1. Let context IC1, store STO1, and statementIR be

  2. Check that statementIR has type emptyStatementIR.

  3. Let emptyStatementIRinst be statementIR.

  4. Result in context IC1 and store STO1.

15.4.4.3. Runtime evaluation
Click to view the specification source
rulegroup ParserStmt_eval/emptyStatementIR:
  rule ParserStmt_eval/emptyStatementIR:
  EC_0 ARCH_0 |- emptyStatementIR : EC_1 ARCH_1 `EMPTY
 -- Stmt_eval: LOCAL EC_0 ARCH_0 |- emptyStatementIR : EC_1 ARCH_1 `EMPTY
  1. Let context EC1, state ARCH1, and statementResult be

  2. Check that statementResult has type continueEmptyResult.

  3. Let continueEmptyResult be statementResult.

  4. Result in context EC1, state ARCH1, and `EMPTY.

15.4.5. Assignment statement

See Section 13.3 for general information about assignment statements.

15.4.5.1. Type checking
Click to view the specification source
rulegroup ParserStmt_ok/assignmentStatement:
  rule ParserStmt_ok/assignmentStatement:
  TC_0 |- assignmentStatement : TC_1 assignmentStatementIR
 -- Stmt_ok: LOCAL TC_0 CONT NOLOOP |- assignmentStatement : TC_1 CONT assignmentStatementIR
  1. Let context TC1, abstract control flow flow, and statementIR be

  2. Check that flow is CONT.

  3. Check that statementIR has type assignmentStatementIR.

  4. Let assignmentStatementIR be statementIR.

  5. Result in context TC1 and typed parser statement assignmentStatementIR.

15.4.5.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserStmt_inst/assignmentStatementIR:
  rule ParserStmt_inst/assignmentStatementIR:
  IC_0 STO_0 |- assignmentStatementIR : IC_1 STO_1 assignmentStatementIR_inst
 -- Stmt_inst: LOCAL IC_0 STO_0 |- assignmentStatementIR : IC_1 STO_1 assignmentStatementIR_inst
  1. Let context IC1, store STO1, and statementIR be

  2. Check that statementIR has type assignmentStatementIR.

  3. Let assignmentStatementIRinst be statementIR.

  4. Result in context IC1 and store STO1.

15.4.5.3. Runtime evaluation
Click to view the specification source
rulegroup ParserStmt_eval/assignmentStatementIR:
  rule ParserStmt_eval/reject:
  EC_0 ARCH_0 |- assignmentStatementIR : EC_1 ARCH_1 rejectTransitionResult
 -- Stmt_eval: LOCAL EC_0 ARCH_0 |- assignmentStatementIR : EC_1 ARCH_1 rejectTransitionResult
  rule ParserStmt_eval/cont:
  EC_0 ARCH_0 |- assignmentStatementIR : EC_1 ARCH_1 `EMPTY
 -- Stmt_eval: LOCAL EC_0 ARCH_0 |- assignmentStatementIR : EC_1 ARCH_1 `EMPTY
  1. Let context EC1, state ARCH1, and statementResult be

  2. If let rejectTransitionResult be statementResult:

    1. Result in context EC1, state ARCH1, and rejectTransitionResult.

  3. Else if let continueEmptyResult be statementResult:

    1. Result in context EC1, state ARCH1, and `EMPTY.

15.4.6. Call statement

See Section 13.4 for general information about call statements.

15.4.6.1. Type checking
Click to view the specification source
rulegroup ParserStmt_ok/callStatement:
  rule ParserStmt_ok/callStatement:
  TC_0 |- callStatement : TC_1 callStatementIR
 -- Stmt_ok: LOCAL TC_0 CONT NOLOOP |- callStatement : TC_1 CONT callStatementIR
  1. Let context TC1, abstract control flow flow, and statementIR be

  2. Check that flow is CONT.

  3. Check that statementIR has type callStatementIR.

  4. Let callStatementIR be statementIR.

  5. Result in context TC1 and typed parser statement callStatementIR.

15.4.6.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserStmt_inst/callStatementIR:
  rule ParserStmt_inst/callStatementIR:
  IC_0 STO_0 |- callStatementIR : IC_1 STO_1 callStatementIR_inst
 -- Stmt_inst: LOCAL IC_0 STO_0 |- callStatementIR : IC_1 STO_1 callStatementIR_inst
  1. Let context IC1, store STO1, and statementIR be

  2. Check that statementIR has type callStatementIR.

  3. Let callStatementIRinst be statementIR.

  4. Result in context IC1 and store STO1.

15.4.6.3. Runtime evaluation
Click to view the specification source
rulegroup ParserStmt_eval/callStatementIR:
  rule ParserStmt_eval/reject:
  EC_0 ARCH_0 |- callStatementIR : EC_1 ARCH_1 rejectTransitionResult
 -- Stmt_eval: LOCAL EC_0 ARCH_0 |- callStatementIR : EC_1 ARCH_1 rejectTransitionResult
  rule ParserStmt_eval/cont:
  EC_0 ARCH_0 |- callStatementIR : EC_1 ARCH_1 `EMPTY
 -- Stmt_eval: LOCAL EC_0 ARCH_0 |- callStatementIR : EC_1 ARCH_1 `EMPTY
  1. Let context EC1, state ARCH1, and statementResult be

  2. If let rejectTransitionResult be statementResult:

    1. Result in context EC1, state ARCH1, and rejectTransitionResult.

  3. Else if let continueEmptyResult be statementResult:

    1. Result in context EC1, state ARCH1, and `EMPTY.

15.4.7. Direct type invocation

See Section 13.5 for general information about direct type invocations.

15.4.7.1. Type checking
Click to view the specification source
rulegroup ParserStmt_ok/directApplicationStatement:
  rule ParserStmt_ok/directApplicationStatement:
  TC_0 |- directApplicationStatement : TC_1 directApplicationStatementIR
 -- Stmt_ok: LOCAL TC_0 CONT NOLOOP |- directApplicationStatement : TC_1 CONT directApplicationStatementIR
  1. Let context TC1, abstract control flow flow, and statementIR be

  2. Check that flow is CONT.

  3. Check that statementIR has type directApplicationStatementIR.

  4. Let directApplicationStatementIR be statementIR.

  5. Result in context TC1 and typed parser statement directApplicationStatementIR.

15.4.7.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserStmt_inst/directApplicationStatementIR:
  rule ParserStmt_inst/directApplicationStatementIR:
  IC STO_0 |- directApplicationStatementIR : IC STO_1 parserBlockStatementIR
 -- DirectApplicationStmt_inst: LOCAL IC STO_0 |- directApplicationStatementIR : STO_1 constantDeclarationIR callStatementIR
 -- if parserBlockStatementIR = `EMPTY `{[constantDeclarationIR, callStatementIR]}
  1. Let store STO1 and desugared constantDeclarationIR, callStatementIR be

  2. Let parserBlockStatementIR be `EMPTY { [ constantDeclarationIR, callStatementIR ] }.

  3. Result in context IC0 and store STO1.

15.4.8. Block statement

A parser block statement is a sequence of parser statements enclosed in braces. It is similar to a block statement explained in Section 13.8, but it can only contain parser statements.

parserBlockStatement
   : annotationList `{ parserStatementList }
   ;
15.4.8.1. Type checking

After type checking, a parser block statement is represented in P4IR as:

parserBlockStatementIR
   : annotationList `{ parserStatementListIR }
   ;
Click to view the specification source
rulegroup ParserStmt_ok/parserBlockStatement:
  rule ParserStmt_ok/parserBlockStatement:
  TC_0 |- annotationList `{parserStatementList} : TC_1 parserBlockStatementIR
 -- if TC_1 = $enter_t(TC_0)
 -- ParserStmtList_ok: TC_1 |- parserStatementList : TC_2 parserStatementIR*
 -- if TC_3 = $exit_t(TC_2)
 -- if parserBlockStatementIR = annotationList `{parserStatementIR*}
  1. Let TC1 be TC0 with a new local frame.

  2. Let context TC2 and typed parser statements parserStatementIR* be

  3. Let TC3 be TC2 with the innermost frame removed.

  4. Let parserBlockStatementIR be annotationList { parserStatementIR* }.

  5. Result in context TC1 and typed parser statement parserBlockStatementIR.

15.4.8.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserStmt_inst/parserBlockStatementIR:
  rule ParserStmt_inst/parserBlockStatementIR:
  IC_0 STO_0 |- annotationList `{parserStatementListIR} : IC_1 STO_1 parserBlockStatementIR_inst
 -- ParserStmts_inst: IC_0 STO_0 |- parserStatementListIR : IC_1 STO_1 parserStatementListIR_inst
 -- if parserBlockStatementIR_inst = annotationList `{parserStatementListIR_inst}
  1. Let context IC1 and store STO1 be

  2. Let parserBlockStatementIRinst be annotationList { parserStatementListIRinst }.

  3. Result in context IC1 and store STO1.

15.4.8.3. Runtime evaluation
Click to view the specification source
rulegroup ParserStmt_eval/parserBlockStatementIR:
  rule ParserStmt_eval/parserBlockStatementIR:
  EC_0 ARCH_0 |- annotationList `{parserStatementListIR} : EC_3 ARCH_1 parserStatementResult
 -- if EC_1 = $enter_e(EC_0)
 -- ParserStmts_eval: EC_1 ARCH_0 |- parserStatementListIR : EC_2 ARCH_1 parserStatementResult
 -- if EC_3 = $exit_e(EC_2)
  1. Let EC1 be EC0 with a new local frame.

  2. Let context EC2, state ARCH1, and parserStatementResult be

  3. Let EC3 be EC2 with the innermost frame removed.

  4. Result in context EC3, state ARCH1, and parserStatementResult.

15.4.9. Conditional statement

A parser conditional statement is defined as:

parserConditionalStatement
   : IF `( expression ) parserStatement
   | IF `( expression ) parserStatement ELSE parserStatement
   ;

It is similar to a conditional statement explained in Section 13.9, but it can only contain parser statements in its branches.

15.4.9.1. Type checking

After type checking, a parser conditional statement is represented in P4IR as:

parserConditionalStatementIR
   : IF `( typedExpressionIR ) parserStatementIR
   | IF `( typedExpressionIR ) parserStatementIR ELSE parserStatementIR
   ;
Click to view the specification source
rulegroup ParserStmt_ok/parserConditionalStatement:
  rule ParserStmt_ok/non-else:
  TC |- IF `(expression_cond) parserStatement_then : TC (IF `(typedExpressionIR_cond) parserStatementIR_then)
 -- Expr_ok: LOCAL TC |- expression_cond : typedExpressionIR_cond
 -- if typeIR_cond = $type_of_typedExpressionIR(typedExpressionIR_cond)
 -- if BOOL = $unroll_typeIR(typeIR_cond)
 -- ParserStmt_ok: TC |- parserStatement_then : TC_then parserStatementIR_then
  rule ParserStmt_ok/else:
  TC |- IF `(expression_cond) parserStatement_then ELSE parserStatement_else : TC (IF `(typedExpressionIR_cond) parserStatementIR_then ELSE parserStatementIR_else)
 -- Expr_ok: LOCAL TC |- expression_cond : typedExpressionIR_cond
 -- if typeIR_cond = $type_of_typedExpressionIR(typedExpressionIR_cond)
 -- if BOOL = $unroll_typeIR(typeIR_cond)
 -- ParserStmt_ok: TC |- parserStatement_then : TC_then parserStatementIR_then
 -- ParserStmt_ok: TC |- parserStatement_else : TC_else parserStatementIR_else
  1. If let IF ( expressioncond ) parserStatementthen be parserConditionalStatement:

    1. Let typedExpressionIRcond be

    2. Let typeIRcond be the type of typedExpressionIRcond.

    3. Check that BOOL is equal to typeIRcond with typedefs unrolled.

    4. Let context TCthen and typed parser statement parserStatementIRthen be

    5. Result in context TC0 and typed parser statement IF ( typedExpressionIRcond ) parserStatementIRthen.

  2. Else:

    1. Let IF ( expressioncond ) parserStatementthen ELSE parserStatementelse be parserConditionalStatement.

    2. Let typedExpressionIRcond be

    3. Let typeIRcond be the type of typedExpressionIRcond.

    4. Check that BOOL is equal to typeIRcond with typedefs unrolled.

    5. Let context TCthen and typed parser statement parserStatementIRthen be

    6. Let context TCelse and typed parser statement parserStatementIRelse be

    7. Result in context TC0 and typed parser statement IF ( typedExpressionIRcond ) parserStatementIRthen ELSE parserStatementIRelse.

15.4.9.2. Compile-time evaluation
Click to view the specification source
rulegroup ParserStmt_inst/parserConditionalStatementIR:
  rule ParserStmt_inst/non-else:
  IC STO_0 |- IF `(typedExpressionIR_cond) parserStatementIR_then : IC STO_1 (IF `(typedExpressionIR_cond) parserStatementIR_then_inst)
 -- ParserStmt_inst: IC STO_0 |- parserStatementIR_then : IC_then STO_1 parserStatementIR_then_inst
  rule ParserStmt_inst/else:
  IC STO_0 |- IF `(typedExpressionIR_cond) parserStatementIR_then ELSE parserStatementIR_else : IC STO_2 (IF `(typedExpressionIR_cond) parserStatementIR_then_inst ELSE parserStatementIR_else_inst)
 -- ParserStmt_inst: IC STO_0 |- parserStatementIR_then : IC_then STO_1 parserStatementIR_then_inst
 -- ParserStmt_inst: IC STO_1 |- parserStatementIR_else : IC_else STO_2 parserStatementIR_else_inst
  1. If let IF ( typedExpressionIRcond ) parserStatementIRthen be parserConditionalStatementIR:

    1. Let context ICthen and store STO1 be

    2. Result in context IC0 and store STO1.

  2. Else:

    1. Let IF ( typedExpressionIRcond ) parserStatementIRthen ELSE parserStatementIRelse be parserConditionalStatementIR.

    2. Let context ICthen and store STO1 be

    3. Let context ICelse and store STO2 be

    4. Result in context IC0 and store STO2.

15.4.9.3. Runtime evaluation
Click to view the specification source
rulegroup ParserStmt_eval/parserConditionalStatementIR:
  rule ParserStmt_eval/non-else-reject:
  EC ARCH |- IF `(typedExpressionIR_cond) parserStatementIR_then : EC_cond ARCH_cond rejectTransitionResult
 -- Expr_eval: LOCAL EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond rejectTransitionResult
  rule ParserStmt_eval/non-else-cont-true:
  EC ARCH |- IF `(typedExpressionIR_cond) parserStatementIR_then : EC_then ARCH_then parserStatementResult
 -- Expr_eval: LOCAL EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond (` (`B true))
 -- ParserStmt_eval: EC_cond ARCH_cond |- parserStatementIR_then : EC_then ARCH_then parserStatementResult
  rule ParserStmt_eval/non-else-cont-false:
  EC ARCH |- IF `(typedExpressionIR_cond) parserStatementIR_then : EC_cond ARCH_cond `EMPTY
 -- Expr_eval: LOCAL EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond (` (`B false))
  rule ParserStmt_eval/else-cont-true:
  EC ARCH |- IF `(typedExpressionIR_cond) parserStatementIR_then ELSE parserStatementIR_else : EC_then ARCH_then parserStatementResult
 -- Expr_eval: LOCAL EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond (` (`B true))
 -- ParserStmt_eval: EC_cond ARCH_cond |- parserStatementIR_then : EC_then ARCH_then parserStatementResult
  rule ParserStmt_eval/else-cont-false:
  EC ARCH |- IF `(typedExpressionIR_cond) parserStatementIR_then ELSE parserStatementIR_else : EC_else ARCH_else parserStatementResult
 -- Expr_eval: LOCAL EC ARCH |- typedExpressionIR_cond : EC_cond ARCH_cond (` (`B false))
 -- ParserStmt_eval: EC_cond ARCH_cond |- parserStatementIR_else : EC_else ARCH_else parserStatementResult
  1. If let IF ( typedExpressionIRcond ) parserStatementIRthen be parserConditionalStatementIR:

    1. Let context ECcond, state ARCHcond and expressionResult be

    2. If let rejectTransitionResult be expressionResult:

      1. Result in context ECcond, state ARCHcond, and rejectTransitionResult.

    3. If expressionResult is equal to `B true:

      1. Let context ECthen, state ARCHthen, and parserStatementResult be

      2. Result in context ECthen, state ARCHthen, and parserStatementResult.

    4. Else if expressionResult is equal to `B false:

      1. Result in context ECcond, state ARCHcond, and `EMPTY.

  2. Else:

    1. Let IF ( typedExpressionIRcond ) parserStatementIRthen ELSE parserStatementIRelse be parserConditionalStatementIR.

    2. Let context ECcond, state ARCHcond and expressionResult be

    3. If expressionResult is equal to `B true:

      1. Let context ECthen, state ARCHthen, and parserStatementResult be

      2. Result in context ECthen, state ARCHthen, and parserStatementResult.

    4. Else if expressionResult is equal to `B false:

      1. Let context ECelse, state ARCHelse, and parserStatementResult be

      2. Result in context ECelse, state ARCHelse, and parserStatementResult.

15.5. Parser transition statements

The last statement in a parser state is an optional transition statement, which transfers control to another state, possibly accept or reject. A transition statements is written using the following syntax:

transitionStatement
   : /* empty */
   | TRANSITION stateExpression
   ;

stateExpression
   : name ;
   | selectExpression
   ;

The execution of the transition statement causes stateExpression to be evaluated, and transfers control to the resulting state.

In terms of the ParserModel, the semantics of a transition statement can be formalized as follows:

goto eval(stateExpression)

For example, this statement:

transition accept;

terminates execution of the current parser and transitions immediately to the accept state.

If the body of a state block does not end with a transition statement, the implied statement is:

transition reject;

See Section 15.6 for description of the select expression that can be used as the stateExpression in a transition statement.

15.5.1. Type checking

Parser transition statements are type-checked as follows:

Click to view the specification source
relation ParserTransition_ok: typingContext nameIR* |- transitionStatement : transitionStatementIR
Click to view the specification source
rulegroup ParserTransition_ok:
  rule ParserTransition_ok/empty:
  TC_0 nameIR_state* |- `EMPTY : TRANSITION ("reject" ;)
  rule ParserTransition_ok/name:
  TC_0 nameIR_state* |- TRANSITION (name ;) : transitionStatementIR
 -- if nameIR = $name(name)
 -- if nameIR <- nameIR_state*
 -- if transitionStatementIR = TRANSITION (nameIR ;)
  rule ParserTransition_ok/select:
  TC_0 nameIR_state* |- TRANSITION selectExpression : TRANSITION selectExpressionIR
 -- ParserSelect_ok: TC_0 nameIR_state* |- selectExpression : selectExpressionIR
  1. If transitionStatement is `EMPTY:

    1. Result in typed transition statement TRANSITION "reject" ;.

  2. Else:

    1. Let TRANSITION stateExpression be transitionStatement.

    2. If let name ; be stateExpression:

      1. Let nameIR be the name of name.

      2. Check that nameIR is in nameIRstate*.

      3. Let transitionStatementIR be TRANSITION nameIR ;.

      4. Result in typed transition statement transitionStatementIR.

    3. Else:

      1. Let selectExpression be stateExpression.

      2. Let typed transition statement selectExpressionIR be

      3. Result in typed transition statement TRANSITION selectExpressionIR.

After type checking, transition statements are represented in P4IR as:

transitionStatementIR
   : TRANSITION stateExpressionIR
   ;

stateExpressionIR
   : nameIR ;
   | selectExpressionIR
   ;

15.5.2. Runtime evaluation

Click to view the specification source
relation ParserTransition_eval: evalContext arch |- transitionStatementIR : evalContext arch transitionResult
Click to view the specification source
rulegroup ParserTransition_eval:
  rule ParserTransition_eval/nameIR-accept:
  EC ARCH |- TRANSITION (nameIR ;) : EC ARCH ACCEPT
 -- if nameIR = "accept"
  rule ParserTransition_eval/nameIR-reject:
  EC ARCH |- TRANSITION (nameIR ;) : EC ARCH (REJECT errorValue)
 -- if nameIR = "reject"
 -- if errorValue = ERROR . "NoError"
  rule ParserTransition_eval/nameIR-state:
  EC ARCH |- TRANSITION (nameIR ;) : EC ARCH (STATE nameIR)
 -- if nameIR =/= "accept" /\ nameIR =/= "reject"
  rule ParserTransition_eval/selectExpressionIR:
  EC_0 ARCH_0 |- TRANSITION selectExpressionIR : EC_1 ARCH_1 transitionResult
 -- ParserSelect_eval: EC_0 ARCH_0 |- selectExpressionIR : EC_1 ARCH_1 transitionResult
  1. If let nameIR ; be stateExpressionIR:

    1. If nameIR is equal to "accept":

      1. Result in context evalContext, state arch, and ACCEPT.

    2. Else if nameIR is equal to "reject":

      1. Let errorValue be ERROR . "NoError".

      2. Result in context evalContext, state arch, and REJECT errorValue.

    3. If nameIR is not equal to "accept" and nameIR is not equal to "reject":

      1. Result in context evalContext, state arch, and STATE nameIR.

  2. Else:

    1. Let selectExpressionIR be stateExpressionIR.

    2. Let context EC1, state ARCH1, and transitionResult be

    3. Result in context EC1, state ARCH1, and transitionResult.

15.6. Parser select expression

A select expression evaluates to a state. The syntax for a select expression is as follows:

selectExpression
   : SELECT `( expressionList ) `{ selectCaseList }
   ;

selectCaseList
   : /* empty */
   | selectCaseList selectCase
   ;

selectCase
   : keysetExpression : name ;
   ;

Each expression in the expressionList must have a set type, or a type that can be nested in a set type.

In terms of the ParserModel, the meaning of a select expression:

select(e) {
    ks[0]: s[0];
    ks[1]: s[1];
    /* more labels omitted */
    ks[n-2]: s[n-1];
    _ : sd;  // ks[n-1] is default
}

is defined in pseudo-code as:

key = eval(e);
for (int i=0; i < n; i++) {
    keyset = eval(ks[i]);
    if (keyset.contains(key)) return s[i];
}
verify(false, error.NoMatch);

Some targets may require that all keyset expressions in a select expression be compile-time known values. Keysets are evaluated in order, from top to bottom as implied by the pseudo-code above; the first keyset that includes the value in the select argument provides the result state. If no label matches, the execution triggers a runtime error with the standard error code error.NoMatch.

Note that this implies that all cases after a default or _ label are unreachable; the compiler should emit a warning if it detects unreachable cases. This constitutes an important difference between select expressions and the switch statements found in many programming languages since the keysets of a select expression may "overlap".

The typical way to use a select expression is to compare the value of a recently-extracted header field against a set of values, as in the following example:

header IPv4_h { bit<8> protocol; /* more fields omitted */ }
struct P { IPv4_h ipv4; /* more fields omitted */ }
P headers;
select (headers.ipv4.protocol) {
    8w6  : parse_tcp;
    8w17 : parse_udp;
    _    : accept;
}

For example, to detect TCP reserved ports (< 1024) one could write:

select (p.tcp.port) {
    16w0 &&& 16w0xFC00: well_known_port;
    _: other_port;
}

The expression 16w0 &&& 16w0xFC00 describes the set of 16-bit values whose most significant six bits are zero.

Some targets may support parser value sets; see Section 10.7. Given a type T for the type parameter of the value set, the type of the value set is set<T>. The type of the value set must match to the type of all other keysetExpressions in the same select expression. If there is a mismatch, the compiler must raise an error. The type of the values in the set must be either bit<>, int<>, tuple, struct, or serializable enum.

For example, to allow the control plane API to specify TCP reserved ports at runtime, one could write:

struct vsk_t {
    @match(ternary)
    bit<16> port;
}
value_set<vsk_t>(4) pvs;
select (p.tcp.port) {
    pvs: runtime_defined_port;
    _: other_port;
}

The above example allows the runtime API to populate up to 4 different keysetExpressions in the value_set. If the value_set takes a struct as type parameter, the runtime API can use the struct field names to name the objects in the value set. The match type of the struct field is specified with the @match annotation. If the @match annotation is not specified on a struct field, by default it is assumed to be @match(exact). A single non-exact field must be placed into a struct by itself, with the desired @match annotation.

15.6.1. Type checking

A select expression is type checked as follows:

Click to view the specification source
relation ParserSelect_ok: typingContext nameIR* |- selectExpression : selectExpressionIR
Click to view the specification source
rulegroup ParserSelect_ok:
  rule ParserSelect_ok:
  TC_0 nameIR_state* |- SELECT `(expressionList_key) `{selectCaseList} : selectExpressionIR
 -- if expression_key* = $flatten_expressionList(expressionList_key)
 -- (Expr_ok: LOCAL TC_0 |- expression_key : typedExpressionIR_key)*
 -- (if (typedExpressionIR_key_reduced = $reduce_serenum(typedExpressionIR_key)))*
 -- (if (typeIR_key_reduced = $type_of_typedExpressionIR(typedExpressionIR_key_reduced)))*
 -- (Type_wf: $bound(LOCAL, TC_0) |- SET `<typeIR_key_reduced>)*
 -- if selectCase* = $flatten_selectCaseList(selectCaseList)
 -- (SelectCase_ok: TC_0 nameIR_state* typeIR_key_reduced* |- selectCase : selectCaseIR)*
 -- if selectExpressionIR = SELECT `(typedExpressionIR_key_reduced*) `{selectCaseIR*}
  1. Let expressionkey* be expressionListkey flattened.

  2. Let typedExpressionIRkey* be the list obtained by repeating:

    for each expressionkey in expressionkey*

  3. Let typedExpressionIRkey_reduced* be the list obtained by repeating:

    for each typedExpressionIRkey in typedExpressionIRkey*

  4. Let typeIRkey_reduced* be the list obtained by repeating:

    for each typedExpressionIRkey_reduced in typedExpressionIRkey_reduced*

  5. Let bound be bound type variables from the LOCAL layer of TC0.

  6. Check that SET < typeIRkey_reduced > is a well-formed type, with bound type variables bound, for all typeIRkey_reduced in typeIRkey_reduced*.

  7. Let selectCase* be selectCaseList flattened.

  8. Let selectCaseIR* be the list obtained by repeating:

    for each selectCase in selectCase*

  9. Let selectExpressionIR be SELECT ( typedExpressionIRkey_reduced* ) { selectCaseIR* }.

  10. Result in typed transition statement selectExpressionIR.

The type checking of a select case visits its keyset expressions, and each simple keyset expression is visited in turn.

Click to view the specification source
relation SelectCase_ok: typingContext nameIR* typeIR* |- selectCase : selectCaseIR
Click to view the specification source
rulegroup SelectCase_ok:
  rule SelectCase_ok:
  TC nameIR_state* typeIR_key* |- keysetExpression : name ; : keysetExpressionIR : nameIR ;
 -- SelectCase_keyset_ok: TC typeIR_key* |- keysetExpression : keysetExpressionIR
 -- if nameIR = $name(name)
 -- if nameIR <- nameIR_state*
  1. Let keysetExpressionIR be

  2. Let nameIR be the name of name.

  3. Check that nameIR is in nameIRstate*.

  4. Result in keysetExpressionIR : nameIR ;.

A keyset expression is type checked with the relation:

keysetExpression
   : simpleKeysetExpression
   | tupleKeysetExpression
   ;
Click to view the specification source
relation SelectCase_keyset_ok: typingContext typeIR* |- keysetExpression : keysetExpressionIR

A simple keyset expression is type checked as follows:

simpleKeysetExpression
   : expression
   | expression &&& expression
   | expression .. expression
   | DEFAULT
   | _
   ;
Click to view the specification source
relation SelectCase_keyset_simple_ok: typingContext typeIR |- simpleKeysetExpression : simpleKeysetExpressionIR
Expression keys
Click to view the specification source
rulegroup SelectCase_keyset_simple_ok/expression:
  rule SelectCase_keyset_simple_ok/set-alpha:
  TC typeIR_key |- expression : typedExpressionIR
 -- Expr_ok: LOCAL TC |- expression : typedExpressionIR
 -- if typeIR = $type_of_typedExpressionIR(typedExpressionIR)
 -- if SET `<typeIR_base> = $unroll_typeIR(typeIR)
 -- Type_alpha: typeIR_base ~~ typeIR_key
  rule SelectCase_keyset_simple_ok/set-subtype:
  TC typeIR_key |- expression : typedExpressionIR_cast
 -- Expr_ok: LOCAL TC |- expression : typedExpressionIR
 -- if typeIR = $type_of_typedExpressionIR(typedExpressionIR)
 -- if SET `<typeIR_base> = $unroll_typeIR(typeIR)
 -- Type_alpha:/ typeIR_base ~~ typeIR_key
 -- Cast_impl: typeIR_base -> typeIR_key
 -- if typeIR_cast = SET `<typeIR_key>
 -- if typedExpressionIR_cast = (`(typeIR_cast) typedExpressionIR) # `(typeIR_cast DYN)
  rule SelectCase_keyset_simple_ok/non-set:
  TC typeIR_key |- expression : typedExpressionIR_cast
 -- Expr_ok: LOCAL TC |- expression : typedExpressionIR
 -- if typeIR = $type_of_typedExpressionIR(typedExpressionIR)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)
 -- if ~(typeIR_unroll <: setTypeIR)
 -- Cast_impl: typeIR -> typeIR_key
 -- if typeIR_cast = SET `<typeIR_key>
 -- if typedExpressionIR_cast = (`(typeIR_cast) typedExpressionIR) # `(typeIR_cast DYN)
  1. Let typedExpressionIR be

  2. Let typeIR be the type of typedExpressionIR.

  3. Let typeIR' be typeIR with typedefs unrolled.

  4. If let SET < typeIRbase > be typeIR':

    1. If typeIRbase and typeIRkey are the same type:

      1. Result in typedExpressionIR.

    2. Else:

      1. Check that typeIRbase can be implicitly cast to typeIRkey.

      2. Let typeIRcast be SET < typeIRkey >.

      3. Let typedExpressionIRcast be ( typeIRcast ) typedExpressionIR annotated with a pair of type typeIRcast and compile-time known-ness DYN.

      4. Result in typedExpressionIRcast.

  5. Else:

    1. Check that typeIR can be implicitly cast to typeIRkey.

    2. Let typeIRcast be SET < typeIRkey >.

    3. Let typedExpressionIRcast be ( typeIRcast ) typedExpressionIR annotated with a pair of type typeIRcast and compile-time known-ness DYN.

    4. Result in typedExpressionIRcast.

Mask keys
Click to view the specification source
rulegroup SelectCase_keyset_simple_ok/mask:
  rule SelectCase_keyset_simple_ok/mask:
  TC typeIR_key |- expression_l &&& expression_r : typedExpressionIR_l_casted &&& typedExpressionIR_r_casted
 -- Expr_ok: LOCAL TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: LOCAL TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l_cast, typedExpressionIR_r_cast, $compat_mask)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if typedExpressionIR_l_casted = $cast_unary(typedExpressionIR_l_reduced, typeIR_key)
 -- if typedExpressionIR_r_casted = $cast_unary(typedExpressionIR_r_reduced, typeIR_key)
  1. Let typedExpressionIRl be

  2. Let typedExpressionIRr be

  3. Let ( typedExpressionIRl_cast, typedExpressionIRr_cast ) be ! typedExpressionIRl and typedExpressionIRr implicitly cast to equal types.

  4. Let ( typedExpressionIRl_reduced, typedExpressionIRr_reduced ) be ! the result of reducing serializable enums in typedExpressionIRl_cast and typedExpressionIRr_cast until $compat_mask is satisfied.

  5. Let typeIRreduced be the type of typedExpressionIRl_reduced.

  6. Let typedExpressionIRl_casted be ! typedExpressionIRl_reduced implicitly cast to typeIRkey.

  7. Let typedExpressionIRr_casted be ! typedExpressionIRr_reduced implicitly cast to typeIRkey.

  8. Result in typedExpressionIRl_casted &&& typedExpressionIRr_casted.

Range keys
Click to view the specification source
rulegroup SelectCase_keyset_simple_ok/range:
  rule SelectCase_keyset_simple_ok/range:
  TC typeIR_key |- expression_l .. expression_r : typedExpressionIR_l_casted .. typedExpressionIR_r_casted
 -- Expr_ok: LOCAL TC |- expression_l : typedExpressionIR_l
 -- Expr_ok: LOCAL TC |- expression_r : typedExpressionIR_r
 -- if (typedExpressionIR_l_cast, typedExpressionIR_r_cast) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r)
 -- if (typedExpressionIR_l_reduced, typedExpressionIR_r_reduced) = $reduce_serenum_binary(typedExpressionIR_l_cast, typedExpressionIR_r_cast, $compat_range)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_l_reduced)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_r_reduced)
 -- if typedExpressionIR_l_casted = $cast_unary(typedExpressionIR_l_reduced, typeIR_key)
 -- if typedExpressionIR_r_casted = $cast_unary(typedExpressionIR_r_reduced, typeIR_key)
  1. Let typedExpressionIRl be

  2. Let typedExpressionIRr be

  3. Let ( typedExpressionIRl_cast, typedExpressionIRr_cast ) be ! typedExpressionIRl and typedExpressionIRr implicitly cast to equal types.

  4. Let ( typedExpressionIRl_reduced, typedExpressionIRr_reduced ) be ! the result of reducing serializable enums in typedExpressionIRl_cast and typedExpressionIRr_cast until $compat_range is satisfied.

  5. Let typeIRreduced be the type of typedExpressionIRl_reduced.

  6. Check that typeIRreduced is equal to the type of typedExpressionIRr_reduced.

  7. Let typedExpressionIRl_casted be ! typedExpressionIRl_reduced implicitly cast to typeIRkey.

  8. Let typedExpressionIRr_casted be ! typedExpressionIRr_reduced implicitly cast to typeIRkey.

  9. Result in typedExpressionIRl_casted .. typedExpressionIRr_casted.

Default and don’t care keys
Click to view the specification source
rulegroup SelectCase_keyset_simple_ok/default:
  rule SelectCase_keyset_simple_ok/default:
  TC typeIR_key |- DEFAULT : DEFAULT
Click to view the specification source
rulegroup SelectCase_keyset_simple_ok/dontcare:
  rule SelectCase_keyset_simple_ok/dontcare:
  TC typeIR_key |- _ : _

15.6.2. Runtime evaluation

The runtime evaluation of a select expression is defined as follows:

Click to view the specification source
relation ParserSelect_eval: evalContext arch |- selectExpressionIR : evalContext arch transitionResult
Click to view the specification source
rulegroup ParserSelect_eval:
  rule ParserSelect_eval/reject:
  EC_0 ARCH_0 |- selectExpressionIR : EC_1 ARCH_1 rejectTransitionResult
 -- if SELECT `(typedExpressionIR_key*) `{selectCaseListIR} = selectExpressionIR
 -- Exprs_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR_key* : EC_1 ARCH_1 rejectTransitionResult
  rule ParserSelect_eval/cont-selectCaseListIR-reject:
  EC_0 ARCH_0 |- selectExpressionIR : EC_2 ARCH_2 rejectTransitionResult
 -- if SELECT `(typedExpressionIR_key*) `{selectCaseListIR} = selectExpressionIR
 -- Exprs_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR_key* : EC_1 ARCH_1 (` value_key*)
 -- SelectCases_match: EC_1 ARCH_1 value_key* |- selectCaseListIR : EC_2 ARCH_2 rejectTransitionResult
  rule ParserSelect_eval/no-match:
  EC_0 ARCH_0 |- selectExpressionIR : EC_2 ARCH_2 rejectTransitionResult
 -- if SELECT `(typedExpressionIR_key*) `{selectCaseListIR} = selectExpressionIR
 -- Exprs_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR_key* : EC_1 ARCH_1 (` value_key*)
 -- SelectCases_match: EC_1 ARCH_1 value_key* |- selectCaseListIR : EC_2 ARCH_2 (` nameIR_state?)
 -- if eps = nameIR_state?
 -- if rejectTransitionResult = REJECT (ERROR . "NoMatch")
  rule ParserSelect_eval/match:
  EC_0 ARCH_0 |- selectExpressionIR : EC_3 ARCH_3 transitionResult
 -- if SELECT `(typedExpressionIR_key*) `{selectCaseListIR} = selectExpressionIR
 -- Exprs_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR_key* : EC_1 ARCH_1 (` value_key*)
 -- SelectCases_match: EC_1 ARCH_1 value_key* |- selectCaseListIR : EC_2 ARCH_2 (` nameIR_state)
 -- ParserTransition_eval: EC_2 ARCH_2 |- TRANSITION (nameIR_state ;) : EC_3 ARCH_3 transitionResult
  1. Let SELECT ( typedExpressionIRkey* ) { selectCaseListIR } be selectExpressionIR.

  2. Let context EC1, state ARCH1 and expressionListResult be

  3. If let rejectTransitionResult be expressionListResult:

    1. Result in context EC1, state ARCH1, and rejectTransitionResult.

  4. Else if let valuekey* be expressionListResult:

    1. Let the updated context EC2, state ARCH2, and selectCaseMatchResult be

    2. If let rejectTransitionResult be selectCaseMatchResult:

      1. Result in context EC2, state ARCH2, and rejectTransitionResult.

    3. Else:

      1. Let nameIRstate? be selectCaseMatchResult.

      2. If · is equal to nameIRstate?:

        1. Let rejectTransitionResult be REJECT ERROR . "NoMatch".

        2. Result in context EC2, state ARCH2, and rejectTransitionResult.

      3. If let nameIRstate' be nameIRstate?:

        1. Let context EC3, state ARCH3, and transitionResult be

        2. Result in context EC3, state ARCH3, and transitionResult.

Matching against select cases is defined as follows:

Click to view the specification source
relation SelectCases_match: evalContext arch value* |- selectCaseListIR : evalContext arch selectCaseMatchResult

The result of matching a select case is defined as follows:

selectCaseMatchResult
   : continueResult<nameIR?>
   | rejectTransitionResult
   ;
Click to view the specification source
rulegroup SelectCases_match:
  rule SelectCases_match/nil:
  EC ARCH value_key* |- eps : EC ARCH (` eps)
  rule SelectCases_match/cons-head-match:
  EC_0 ARCH_0 value_key* |- selectCaseIR_h :: selectCaseIR_t* : EC_1 ARCH_1 rejectTransitionResult
 -- SelectCase_match: EC_0 ARCH_0 value_key* |- selectCaseIR_h : EC_1 ARCH_1 rejectTransitionResult
  rule SelectCases_match/cons-head-match:
  EC_0 ARCH_0 value_key* |- selectCaseIR_h :: selectCaseIR_t* : EC_1 ARCH_1 (` nameIR_state)
 -- SelectCase_match: EC_0 ARCH_0 value_key* |- selectCaseIR_h : EC_1 ARCH_1 (` nameIR_state)
  rule SelectCases_match/cons-head-no-match:
  EC_0 ARCH_0 value_key* |- selectCaseIR_h :: selectCaseIR_t* : EC_2 ARCH_2 selectCaseMatchResult
 -- SelectCase_match: EC_0 ARCH_0 value_key* |- selectCaseIR_h : EC_1 ARCH_1 (` eps)
 -- SelectCases_match: EC_1 ARCH_1 value_key* |- selectCaseIR_t* : EC_2 ARCH_2 selectCaseMatchResult
  1. If selectCaseIR* is equal to ·:

    1. Result in the updated context evalContext, state arch, and ·.

  2. If let selectCaseIRh :: selectCaseIRt* be selectCaseIR*:

    1. Let the updated context EC1, state ARCH1, and selectCaseMatchResult be

    2. If let rejectTransitionResult be selectCaseMatchResult:

      1. Result in the updated context EC1, state ARCH1, and rejectTransitionResult.

    3. Else:

      1. Let nameIR? be selectCaseMatchResult.

      2. Check that nameIR? is defined.

      3. Let nameIRstate be nameIR?.

      4. Result in the updated context EC1, state ARCH1, and nameIRstate.

    4. If selectCaseMatchResult is equal to ·:

      1. Let the updated context EC2, state ARCH2, and selectCaseMatchResult' be

      2. Result in the updated context EC2, state ARCH2, and selectCaseMatchResult'.

The matching of a select case is defined as follows:

Click to view the specification source
relation SelectCase_match: evalContext arch value* |- selectCaseIR : evalContext arch selectCaseMatchResult
Click to view the specification source
rulegroup SelectCase_match:
  rule SelectCase_match/reject:
  EC_0 ARCH_0 value_key* |- keysetExpressionIR : nameIR ; : EC_1 ARCH_1 rejectTransitionResult
 -- Expr_eval_keyset: EC_0 ARCH_0 |- keysetExpressionIR : EC_1 ARCH_1 rejectTransitionResult
  rule SelectCase_match/no-match:
  EC_0 ARCH_0 value_key* |- keysetExpressionIR : nameIR ; : EC_1 ARCH_1 (` eps)
 -- Expr_eval_keyset: EC_0 ARCH_0 |- keysetExpressionIR : EC_1 ARCH_1 (` setValue*)
 -- if ~$match_keysets(setValue*, value_key*)
  rule SelectCase_match/match:
  EC_0 ARCH_0 value_key* |- keysetExpressionIR : nameIR ; : EC_1 ARCH_1 (` nameIR)
 -- Expr_eval_keyset: EC_0 ARCH_0 |- keysetExpressionIR : EC_1 ARCH_1 (` setValue*)
 -- if $match_keysets(setValue*, value_key*)
  1. Let context EC1, state ARCH1, and result keysetExpressionResult be

  2. If let rejectTransitionResult be keysetExpressionResult:

    1. Result in the updated context EC1, state ARCH1, and rejectTransitionResult.

  3. Else if let setValue* be keysetExpressionResult:

    1. If valuekey* does not match setValue*:

      1. Result in the updated context EC1, state ARCH1, and ·.

    2. Else:

      1. Result in the updated context EC1, state ARCH1, and nameIR.

15.7. verify

The verify statement provides a simple form of error handling. verify can only be invoked within a parser; it is used syntactically as if it were a function with the following signature:

extern void verify(in bool condition, in error err);

If the first argument is true, then executing the statement has no side-effect. However, if the first argument is false, it causes an immediate transition to reject, which causes immediate parsing termination; at the same time, the parserError associated with the parser is set to the value of the second argument.

In terms of the ParserModel the semantics of a verify statement is given by:

ParserModel.verify(bool condition, error err) {
    if (condition == false) {
        ParserModel.parserError = err;
        goto reject;
    }
}

15.8. Packet data extraction

The P4 core library contains the following declaration of a built-in extern type called packet_in that represents incoming network packets. The packet_in extern is special: it cannot be instantiated by the user explicitly. Instead, the architecture supplies a separate instance for each packet_in argument to a parser instantiation.

extern packet_in {
    void extract<T>(out T headerLvalue);
    void extract<T>(out T variableSizeHeader, in bit<32> varFieldSizeBits);
    T lookahead<T>();
    bit<32> length();  // This method may be unavailable in some architectures
    void advance(bit<32> bits);
}

To extract data from a packet represented by an argument b with type packet_in, a parser invokes the extract methods of b. There are two variants of the extract method: a one-argument variant for extracting fixed-size headers, and a two-argument variant for extracting variable-sized headers. Because these operations can cause runtime verification failures (see below), these methods can only be executed within parsers.

When extracting data into a bit-string or integer, the first packet bit is extracted to the most significant bit of the integer.

Some targets may perform cut-through packet processing, i.e., they may start processing a packet before its length is known (i.e., before all bytes have been received). On such a target calls to the packet_in.length() method cannot be implemented. Attempts to call this method should be flagged as errors (either at compilation time by the compiler back-end, or when attempting to load the compiled P4 program onto a target that does not support this method).

In terms of the ParserModel, the semantics of packet_in can be captured using the following abstract model of packets:

packet_in {
    unsigned nextBitIndex;
    byte[] data;
    unsigned lengthInBits;
    void initialize(byte[] data) {
        this.data = data;
        this.nextBitIndex = 0;
        this.lengthInBits = data.sizeInBytes * 8;
    }
    bit<32> length() { return this.lengthInBits / 8; }
}

15.8.1. Fixed-width extraction

The single-argument extract method handles fixed-width headers, and is declared in P4 as follows:

void extract<T>(out T headerLvalue);

The expression headerLvalue must evaluate to an l-value (see Chapter 12) of type header with a fixed width. If this method executes successfully, on completion the headerLvalue is filled with data from the packet and its validity bit is set to true. This method may fail in various ways—​e.g., if there are not enough bits left in the packet to fill the specified header.

For example, the following program fragment extracts an Ethernet header:

struct Result { Ethernet_h ethernet;  /* more fields omitted */ }
parser P(packet_in b, out Result r) {
    state start {
        b.extract(r.ethernet);
    }
}

In terms of the ParserModel, the semantics of the single-argument extract is given in terms of the following pseudo-code method, using data from the packet class defined above. We use the special valid$ identifier to indicate the hidden valid bit of a header, isNext$ to indicate that the l-value was obtained using next, and nextIndex$ to indicate the corresponding header or header union stack properties.

void packet_in.extract<T>(out T headerLValue) {
   bitsToExtract = sizeofInBits(headerLValue);
   lastBitNeeded = this.nextBitIndex + bitsToExtract;
   ParserModel.verify(this.lengthInBits >= lastBitNeeded, error.PacketTooShort);
   headerLValue = this.data.extractBits(this.nextBitIndex, bitsToExtract);
   headerLValue.valid$ = true;
   if headerLValue.isNext$ {
     verify(headerLValue.nextIndex$ < headerLValue.size, error.StackOutOfBounds);
     headerLValue.nextIndex$ = headerLValue.nextIndex$ + 1;
   }
   this.nextBitIndex += bitsToExtract;
}

15.8.2. Variable-width extraction

The two-argument extract handles variable-width headers, and is declared in P4 as follows:

void extract<T>(out T headerLvalue, in bit<32> variableFieldSize);

The expression headerLvalue must be an l-value representing a header that contains exactly one varbit field. The expression variableFieldSize must evaluate to a bit<32> value that indicates the number of bits to be extracted into the unique varbit field of the header (i.e., this size is not the size of the complete header, just the varbit field).

In terms of the ParserModel, the semantics of the two-argument extract is captured by the following pseudo-code:

void packet_in.extract<T>(out T headerLvalue,
                          in bit<32> variableFieldSize) {
   // targets are allowed to include the following line, but need not
   // verify(variableFieldSize[2:0] == 0, error.ParserInvalidArgument);
   bitsToExtract = sizeOfFixedPart(headerLvalue) + variableFieldSize;
   lastBitNeeded = this.nextBitIndex + bitsToExtract;
   ParserModel.verify(this.lengthInBits >= lastBitNeeded, error.PacketTooShort);
   ParserModel.verify(bitsToExtract <= headerLvalue.maxSize, error.HeaderTooShort);
   headerLvalue = this.data.extractBits(this.nextBitIndex, bitsToExtract);
   headerLvalue.varbitField.size = variableFieldSize;
   headerLvalue.valid$ = true;
   if headerLValue.isNext$ {
     verify(headerLValue.nextIndex$ < headerLValue.size, error.StackOutOfBounds);
     headerLValue.nextIndex$ = headerLValue.nextIndex$ + 1;
   }
   this.nextBitIndex += bitsToExtract;
}

The following example shows one way to parse IPv4 options—​by splitting the IPv4 header into two separate headers:

// IPv4 header without options
header IPv4_no_options_h {
   bit<4>   version;
   bit<4>   ihl;
   bit<8>   diffserv;
   bit<16>  totalLen;
   bit<16>  identification;
   bit<3>   flags;
   bit<13>  fragOffset;
   bit<8>   ttl;
   bit<8>   protocol;
   bit<16>  hdrChecksum;
   bit<32>  srcAddr;
   bit<32>  dstAddr;
}
header IPv4_options_h {
   varbit<320> options;
}

struct Parsed_headers {
    // Some fields omitted
    IPv4_no_options_h ipv4;
    IPv4_options_h    ipv4options;
}

error { InvalidIPv4Header }

parser Top(packet_in b, out Parsed_headers headers) {
   // Some states omitted

   state parse_ipv4 {
       b.extract(headers.ipv4);
       verify(headers.ipv4.ihl >= 5, error.InvalidIPv4Header);
       transition select (headers.ipv4.ihl) {
           5: dispatch_on_protocol;
           _: parse_ipv4_options;
       }
   }

   state parse_ipv4_options {
       // use information in the ipv4 header to compute the number of bits to extract
       b.extract(headers.ipv4options,
                 (bit<32>)(((bit<16>)headers.ipv4.ihl - 5) * 32));
       transition dispatch_on_protocol;
   }
}

15.8.3. Lookahead

The lookahead method provided by the packet_in packet abstraction evaluates to a set of bits from the input packet without advancing the nextBitIndex pointer. Similar to extract, it will transition to reject and set the error if there are not enough bits in the packet. When lookahead returns a value that contains headers (e.g., a header type, or a struct containing headers), the headers values in the returned result are always valid (otherwise lookahead must have transitioned to the reject state).

The lookahead method can be invoked as follows:

b.lookahead<T>()

where T must be a type with fixed width. In case of success the result of the evaluation of lookahead returns a value of type T.

In terms of the ParserModel, the semantics of lookahead is given by the following pseudocode:

T packet_in.lookahead<T>() {
   bitsToExtract = sizeof(T);
   lastBitNeeded = this.nextBitIndex + bitsToExtract;
   ParserModel.verify(this.lengthInBits >= lastBitNeeded, error.PacketTooShort);
   T tmp = this.data.extractBits(this.nextBitIndex, bitsToExtract);
   return tmp;
}

The TCP options example from Section 8.4.7 also illustrates how lookahead can be used:

state start {
    transition select(b.lookahead<bit<8>>()) {
        0: parse_tcp_option_end;
        1: parse_tcp_option_nop;
        2: parse_tcp_option_ss;
        3: parse_tcp_option_s;
        5: parse_tcp_option_sack;
    }
}

// Some states omitted

state parse_tcp_option_sack {
    bit<8> n = b.lookahead<Tcp_option_sack_top>().length;
    b.extract(vec.next.sack, (bit<32>) (8 * n - 16));
    transition start;
}

15.8.4. Skipping bits

P4 provides two ways to skip over bits in an input packet without assigning them to a header:

One way is to extract to the underscore identifier, explicitly specifying the type of the data:

b.extract<T>(_)

Another way is to use the advance method of the packet when the number of bits to skip is known.

In terms of the ParserModel, the meaning of advance is given in pseudocode as follows:

void packet_in.advance(bit<32> bits) {
   // targets are allowed to include the following line, but need not
   // verify(bits[2:0] == 0, error.ParserInvalidArgument);
   lastBitNeeded = this.nextBitIndex + bits;
   ParserModel.verify(this.lengthInBits >= lastBitNeeded, error.PacketTooShort);
   this.nextBitIndex += bits;
}

16. Abstract control machine

A control declaration introduces a constructor for a control object. See Section 10.5 and Section 11.12 for details.

controlDeclaration
   : annotationList CONTROL name typeParameterListOpt `( parameterList )
       constructorParameterListOpt
       `{ controlLocalDeclarationList APPLY controlBody }
   ;

controlLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | actionDeclaration
   | tableDeclaration
   ;

controlBody = blockStatement

The rest of this section describes the core components of a control block.

16.1. Match-action pipeline machine

We can describe the computational model of a match-action pipeline, embodied by a control block: the body of the control block is executed, similarly to the execution of a traditional imperative program:

  • At runtime, statements within a block are executed in the order they appear in the control block.

  • Execution of the return statement causes immediate termination of the execution of the current control block, and a return to the caller.

  • Execution of the exit statement causes the immediate termination of the execution of the current control block and of all the enclosing caller control blocks.

  • Applying a table executes the corresponding match-action unit.

16.1.1. Sub-controls

P4 allows controls to invoke the services of other controls, similar to subroutines. To invoke the services of another control, it must be first instantiated; the services of an instance are invoked by calling it using its apply method.

The following example shows a control invocation:

control Callee(inout IPv4 ipv4) { /* body omitted */ }
control Caller(inout Headers h) {
     Callee() instance;  // instance of callee
     apply {
          instance.apply(h.ipv4);  // invoke control
     }
}

As with parsers, when a control is instantiated, local instantiations of stateful objects are evaluated recursively. That is, each instantiation of a control has a unique set of local tables, extern objects, inner control instances, etc. Thus, in general, invoking a control instance twice is not the same as invoking two copies of the same control instance. Note however, that local variables do not persist across invocations of the control. This semantics also applies to direct invocation (see Section 13.5).

When a control is instantiated, all its local declarations of stateful instantiations are evaluated recursively. Each instantiation of a control will have a unique set of local tables, extern objects, and inner control instances. Thus, invoking a control instance twice is different from invoking two control instances each once, where the former accesses the same local stateful constructs while the latter access two different copies.

The exactly-once evaluation only applies to local stateful instantiations. For local variable declarations, whether in the apply block or out, and whether with initializers or not, they are always evaluated when a control instance is invoked. That is, local variables in a control never persist across invocations. For variables declared outside the apply block, they are evaluated at the beginning of execution.

All the behavior above also applies to direct invocation (see Section 13.5).

16.1.2. Runtime evaluation of a control

At runtime, a control is evaluated by invoking its apply method. The following algorithm describes the evaluation of a control apply method invocation:

Click to view the specification source
rulegroup Call_eval/controlApplyMethodCallee:
  rule Call_eval/controlApplyMethodCallee-copyin-exit:
  p EC_0 ARCH_0 |- controlApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_1 ARCH_1 EXIT
 -- if CONTROL _ . APPLY `(parameterListIR # id_default*) `{theta ; frame ; controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR} = controlApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(GLOBAL, EC_0)
 -- if `{(callableId : actionDef)*} = actionDefEnv
 -- if EC_callee_1 = EC_callee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame][BLOCK.CALLABLE = `{(callableId : actionDef)*}]
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterListIR, argumentListIR, id_default*, eps)
 -- if p_shared = GLOBAL
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ BLOCK EC_callee_1 argumentListIR ~> ARCH_1 EC_1 EC_callee_2 # EXIT
  rule Call_eval/controlApplyMethodCallee-localDecl-exit:
  p EC_0 ARCH_0 |- controlApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_2 ARCH_2 EXIT
 -- if CONTROL _ . APPLY `(parameterListIR # id_default*) `{theta ; frame ; controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR} = controlApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(GLOBAL, EC_0)
 -- if `{(callableId : actionDef)*} = actionDefEnv
 -- if EC_callee_1 = EC_callee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame][BLOCK.CALLABLE = `{(callableId : actionDef)*}]
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterListIR, argumentListIR, id_default*, eps)
 -- if p_shared = GLOBAL
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ BLOCK EC_callee_1 argumentListIR ~> ARCH_1 EC_1 EC_callee_2 # (` storageReference?*)
 -- Copy_in_default: parameterIR_default* @ BLOCK EC_callee_2 ~> EC_callee_3
 -- ControlLocalDecls_eval: EC_callee_3 ARCH_1 |- controlLocalDeclarationListIR : EC_callee_4 ARCH_2 EXIT
 -- Copy_out: p_shared ARCH_2 |- p EC_1 parameterIR_aligned* @ BLOCK EC_callee_4 storageReference?* ~> EC_2
  rule Call_eval/controlApplyMethodCallee-controlBodyIR-exit:
  p EC_0 ARCH_0 |- controlApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_2 ARCH_3 EXIT
 -- if CONTROL _ . APPLY `(parameterListIR # id_default*) `{theta ; frame ; controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR} = controlApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(GLOBAL, EC_0)
 -- if `{(callableId : actionDef)*} = actionDefEnv
 -- if EC_callee_1 = EC_callee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame][BLOCK.CALLABLE = `{(callableId : actionDef)*}]
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterListIR, argumentListIR, id_default*, eps)
 -- if p_shared = GLOBAL
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ BLOCK EC_callee_1 argumentListIR ~> ARCH_1 EC_1 EC_callee_2 # (` storageReference?*)
 -- Copy_in_default: parameterIR_default* @ BLOCK EC_callee_2 ~> EC_callee_3
 -- ControlLocalDecls_eval: EC_callee_3 ARCH_1 |- controlLocalDeclarationListIR : EC_callee_4 ARCH_2 `EMPTY
 -- ControlBody_eval: EC_callee_4 ARCH_2 |- controlBodyIR : EC_callee_5 ARCH_3 EXIT
 -- Copy_out: p_shared ARCH_3 |- p EC_1 parameterIR_aligned* @ BLOCK EC_callee_5 storageReference?* ~> EC_2
  rule Call_eval/controlApplyMethodCallee-cont:
  p EC_0 ARCH_0 |- controlApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_2 ARCH_3 (RETURN eps)
 -- if CONTROL _ . APPLY `(parameterListIR # id_default*) `{theta ; frame ; controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR} = controlApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(GLOBAL, EC_0)
 -- if `{(callableId : actionDef)*} = actionDefEnv
 -- if EC_callee_1 = EC_callee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame][BLOCK.CALLABLE = `{(callableId : actionDef)*}]
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterListIR, argumentListIR, id_default*, eps)
 -- if p_shared = GLOBAL
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ BLOCK EC_callee_1 argumentListIR ~> ARCH_1 EC_1 EC_callee_2 # (` storageReference?*)
 -- Copy_in_default: parameterIR_default* @ BLOCK EC_callee_2 ~> EC_callee_3
 -- ControlLocalDecls_eval: EC_callee_3 ARCH_1 |- controlLocalDeclarationListIR : EC_callee_4 ARCH_2 `EMPTY
 -- ControlBody_eval: EC_callee_4 ARCH_2 |- controlBodyIR : EC_callee_5 ARCH_3 (RETURN eps)
 -- Copy_out: p_shared ARCH_3 |- p EC_1 parameterIR_aligned* @ BLOCK EC_callee_5 storageReference?* ~> EC_2
  1. Let CONTROL _ . APPLY ( parameterListIR # iddefault* ) { theta ; frame ; controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR } be controlApplyMethodCallee.

  2. Let ECcallee_0 be copy of EC0 from the GLOBAL layer.

  3. Let { ( callableId : actionDef )* } be actionDefEnv.

  4. Let ECcallee_1 be ECcallee_0[BLOCK.TYPE = theta][BLOCK.FRAME = frame] with BLOCK.CALLABLE set to { ( callableId : actionDef )* }.

  5. Let GIVEN parameterIRaligned* DEFAULT parameterIRdefault* be aligning parameterListIR with argumentListIR where defaults are iddefault* and optionals are ·.

  6. Let pshared be GLOBAL.

  7. Let state ARCH1, caller’s context EC1, callee’s context ECcallee_2, and copy-in result copyInResult be

  8. If let exitResult be copyInResult:

    1. Result in context EC1, state ARCH1, and call result EXIT.

  9. Else if let storageReference?* be copyInResult:

    1. Let ECcallee_3 be

    2. Let context ECcallee_4, state ARCH2, and result controlLocalDeclarationResult be

    3. If let exitResult be controlLocalDeclarationResult:

      1. Let EC2 be

      2. Result in context EC2, state ARCH2, and call result EXIT.

    4. Else:

      1. Let continueEmptyResult be controlLocalDeclarationResult.

      2. Let context ECcallee_5, state ARCH3, and result controlBodyResult be

      3. If let exitResult be controlBodyResult:

        1. Let EC2 be

        2. Result in context EC2, state ARCH3, and call result EXIT.

      4. If controlBodyResult is equal to RETURN ·:

        1. Let EC2 be

        2. Result in context EC2, state ARCH3, and call result RETURN ·.

16.2. Control local declarations

Control local declarations are defined as follows:

controlLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | actionDeclaration
   | tableDeclaration
   ;

controlLocalDeclarationList
   : /* empty */
   | controlLocalDeclarationList controlLocalDeclaration
   ;

16.2.1. Semantics of parser local declarations

16.2.1.1. Type checking
Click to view the specification source
relation ControlLocalDecl_ok: typingContext |- controlLocalDeclaration : typingContext controlLocalDeclarationIR

After type checking, control local declarations are represented in P4IR as follows:

controlLocalDeclarationIR
   : constantDeclarationIR
   | instantiationIR
   | variableDeclarationIR
   | actionDeclarationIR
   | tableDeclarationIR
   ;

A list of control local declarations is type checked by:

Click to view the specification source
relation ControlLocalDeclList_ok: typingContext |- controlLocalDeclarationList : typingContext controlLocalDeclarationIR*
Click to view the specification source
rulegroup ControlLocalDeclList_ok:
  rule ControlLocalDeclList_ok:
  TC_0 |- controlLocalDeclarationList : TC_1 controlLocalDeclarationIR*
 -- if controlLocalDeclaration* = $flatten_controlLocalDeclarationList(controlLocalDeclarationList)
 -- ControlLocalDecls_ok: TC_0 |- controlLocalDeclaration* : TC_1 controlLocalDeclarationIR*
  1. Let controlLocalDeclaration* be controlLocalDeclarationList flattened.

  2. Let the updated context TC1 and the typed control local declarations controlLocalDeclarationIR* be

  3. Result in context TC1 and controlLocalDeclarationIR*.

Click to view the specification source
relation ControlLocalDecls_ok: typingContext |- controlLocalDeclaration* : typingContext controlLocalDeclarationIR*
Click to view the specification source
rulegroup ControlLocalDecls_ok:
  rule ControlLocalDecls_ok/nil:
  TC |- eps : TC eps
  rule ControlLocalDecls_ok/cons:
  TC_0 |- controlLocalDeclaration_h :: controlLocalDeclaration_t* : TC_2 (controlLocalDeclarationIR_h :: controlLocalDeclarationIR_t*)
 -- ControlLocalDecl_ok: TC_0 |- controlLocalDeclaration_h : TC_1 controlLocalDeclarationIR_h
 -- ControlLocalDecls_ok: TC_1 |- controlLocalDeclaration_t* : TC_2 controlLocalDeclarationIR_t*
  1. If controlLocalDeclaration* is equal to ·:

    1. Result in the updated context typingContext and the typed control local declarations ·.

  2. If let controlLocalDeclarationh :: controlLocalDeclarationt* be controlLocalDeclaration*:

    1. Let context TC1 and controlLocalDeclarationIRh be

    2. Let the updated context TC2 and the typed control local declarations controlLocalDeclarationIRt* be

    3. Result in the updated context TC2 and the typed control local declarations controlLocalDeclarationIRh :: controlLocalDeclarationIRt*.

16.2.1.2. Compile-time evaluation
Click to view the specification source
relation ControlLocalDecl_inst: instContext store |- controlLocalDeclarationIR : instContext store controlLocalDeclarationIR?

A list of control local declarations is compile-time evaluated by:

Click to view the specification source
relation ControlLocalDecls_inst: instContext store |- controlLocalDeclarationIR* : instContext store controlLocalDeclarationIR*
Click to view the specification source
rulegroup ControlLocalDecls_inst:
  rule ControlLocalDecls_inst/nil:
  IC STO |- eps : IC STO eps
  rule ControlLocalDecls_inst/cons-none:
  IC_0 STO_0 |- controlLocalDeclarationIR_h :: controlLocalDeclarationIR_t* : IC_2 STO_2 controlLocalDeclarationIR_t_inst*
 -- ControlLocalDecl_inst: IC_0 STO_0 |- controlLocalDeclarationIR_h : IC_1 STO_1 eps
 -- ControlLocalDecls_inst: IC_1 STO_1 |- controlLocalDeclarationIR_t* : IC_2 STO_2 controlLocalDeclarationIR_t_inst*
  rule ControlLocalDecls_inst/cons-some:
  IC_0 STO_0 |- controlLocalDeclarationIR_h :: controlLocalDeclarationIR_t* : IC_2 STO_2 (controlLocalDeclarationIR_h_inst :: controlLocalDeclarationIR_t_inst*)
 -- ControlLocalDecl_inst: IC_0 STO_0 |- controlLocalDeclarationIR_h : IC_1 STO_1 controlLocalDeclarationIR_h_inst
 -- ControlLocalDecls_inst: IC_1 STO_1 |- controlLocalDeclarationIR_t* : IC_2 STO_2 controlLocalDeclarationIR_t_inst*
  1. If controlLocalDeclarationIR* is equal to ·:

    1. Result in context instContext, store store, and ·.

  2. If let controlLocalDeclarationIRh :: controlLocalDeclarationIRt* be controlLocalDeclarationIR*:

    1. Let context IC1, store STO1, and controlLocalDeclarationIR'? be

    2. If controlLocalDeclarationIR'? is none:

      1. Let context IC2, store STO2, and controlLocalDeclarationIRt_inst* be

      2. Result in context IC2, store STO2, and controlLocalDeclarationIRt_inst*.

    3. Else:

      1. Let controlLocalDeclarationIRh_inst be controlLocalDeclarationIR'?.

      2. Let context IC2, store STO2, and controlLocalDeclarationIRt_inst* be

      3. Result in context IC2, store STO2, and controlLocalDeclarationIRh_inst :: controlLocalDeclarationIRt_inst*.

16.2.1.3. Runtime evaluation
Click to view the specification source
relation ControlLocalDecl_eval: evalContext arch |- controlLocalDeclarationIR : evalContext arch controlLocalDeclarationResult

Evaluation of a control local declaration yields:

controlLocalDeclarationResult
   : continueEmptyResult
   | exitResult
   ;

continueEmptyResult
   : /* empty */
   ;

exitResult
   : EXIT
   ;

A list of control local declarations is runtime evaluated by:

Click to view the specification source
relation ControlLocalDecls_eval: evalContext arch |- controlLocalDeclarationIR* : evalContext arch controlLocalDeclarationResult
Click to view the specification source
rulegroup ControlLocalDecls_eval:
  rule ControlLocalDecls_eval/nil:
  EC ARCH |- eps : EC ARCH `EMPTY
  rule ControlLocalDecls_eval/cons-head-exit:
  EC_0 ARCH_0 |- controlLocalDeclarationIR_h :: controlLocalDeclarationListIR_t : EC_1 ARCH_1 EXIT
 -- ControlLocalDecl_eval: EC_0 ARCH_0 |- controlLocalDeclarationIR_h : EC_1 ARCH_1 EXIT
  rule ControlLocalDecls_eval/cons-head-cont:
  EC_0 ARCH_0 |- controlLocalDeclarationIR_h :: controlLocalDeclarationListIR_t : EC_2 ARCH_2 controlLocalDeclarationResult
 -- ControlLocalDecl_eval: EC_0 ARCH_0 |- controlLocalDeclarationIR_h : EC_1 ARCH_1 `EMPTY
 -- ControlLocalDecls_eval: EC_1 ARCH_1 |- controlLocalDeclarationListIR_t : EC_2 ARCH_2 controlLocalDeclarationResult
  1. If controlLocalDeclarationIR* is equal to ·:

    1. Result in context evalContext, state arch, and result `EMPTY.

  2. If let controlLocalDeclarationIRh :: controlLocalDeclarationListIRt be controlLocalDeclarationIR*:

    1. Let context EC1, state ARCH1, and result controlLocalDeclarationResult be

    2. If let exitResult be controlLocalDeclarationResult:

      1. Result in context EC1, state ARCH1, and result EXIT.

    3. Else:

      1. Let continueEmptyResult be controlLocalDeclarationResult.

      2. Let context EC2, state ARCH2, and result controlLocalDeclarationResult' be

      3. Result in context EC2, state ARCH2, and result controlLocalDeclarationResult'.

The subsequent sections describe each kind of declaration in detail. table declarations are special and are separately described in Section 16.3.

16.2.2. Constant declarations

See Section 11.3 for general information about constant declarations.

16.2.2.1. Type checking
Click to view the specification source
rulegroup ControlLocalDecl_ok/constantDeclaration:
  rule ControlLocalDecl_ok/constantDeclaration:
  TC_0 |- constantDeclaration : TC_1 constantDeclarationIR
 -- ConstDecl_ok: BLOCK TC_0 |- constantDeclaration : TC_1 constantDeclarationIR
  1. Let context TC1 and constantDeclarationIR be

  2. Result in context TC1 and constantDeclarationIR.

16.2.2.2. Compile-time evaluation
Click to view the specification source
rulegroup ControlLocalDecl_inst/constantDeclarationIR:
  rule ControlLocalDecl_inst/constantDeclarationIR:
  IC_0 STO |- constantDeclarationIR : IC_1 STO constantDeclarationIR
 -- ConstDecl_inst: BLOCK IC_0 |- constantDeclarationIR : IC_1
  1. Let context IC1 be

  2. Result in context IC1, store STO, and constantDeclarationIR.

16.2.2.3. Runtime evaluation
Click to view the specification source
rulegroup ControlLocalDecl_eval/constantDeclarationIR:
  rule ControlLocalDecl_eval/constantDeclarationIR:
  EC_0 ARCH |- constantDeclarationIR : EC_1 ARCH `EMPTY
 -- ConstDecl_eval: BLOCK EC_0 |- constantDeclarationIR : EC_1
  1. Let context EC1 be

  2. Result in context EC1, state ARCH, and result `EMPTY.

16.2.3. Instantiations

See Section 11.4 for general information about instantiations.

16.2.3.1. Type checking
Click to view the specification source
rulegroup ControlLocalDecl_ok/instantiation:
  rule ControlLocalDecl_ok/instantiation:
  TC_0 |- instantiation : TC_1 instantiationIR
 -- InstDecl_ok: BLOCK TC_0 |- instantiation : TC_1 instantiationIR
  1. Let context TC1 and instantiationIR be

  2. Result in context TC1 and instantiationIR.

16.2.3.2. Compile-time evaluation
Click to view the specification source
rulegroup ControlLocalDecl_inst/instantiationIR:
  rule ControlLocalDecl_inst/instantiationIR:
  IC_0 STO_0 |- instantiationIR : IC_1 STO_1 constantDeclarationIR
 -- InstDecl_inst: BLOCK IC_0 STO_0 |- instantiationIR : IC_1 STO_1 constantDeclarationIR
  1. Let context IC1, store STO1, and reference to object constantDeclarationIR be

  2. Result in context IC1, store STO1, and constantDeclarationIR.

16.2.4. Variable declarations

See Section 11.2 for general information about variable declarations.

16.2.4.1. Type checking
Click to view the specification source
rulegroup ControlLocalDecl_ok/variableDeclaration:
  rule ControlLocalDecl_ok/variableDeclaration:
  TC_0 |- variableDeclaration : TC_1 variableDeclarationIR
 -- VarDecl_ok: BLOCK TC_0 |- variableDeclaration : TC_1 variableDeclarationIR
  1. Let context TC1 and variableDeclarationIR be

  2. Result in context TC1 and variableDeclarationIR.

16.2.4.2. Compile-time evaluation
Click to view the specification source
rulegroup ControlLocalDecl_inst/variableDeclarationIR:
  rule ControlLocalDecl_inst/variableDeclarationIR:
  IC STO |- variableDeclarationIR : IC STO variableDeclarationIR
  1. Result in context IC0, store STO, and variableDeclarationIR.

16.2.4.3. Runtime evaluation
Click to view the specification source
rulegroup ControlLocalDecl_eval/variableDeclarationIR:
  rule ControlLocalDecl_eval/exit:
  EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 EXIT
 -- VarDecl_eval: BLOCK EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 EXIT
  rule ControlLocalDecl_eval/cont:
  EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 `EMPTY
 -- VarDecl_eval: BLOCK EC_0 ARCH_0 |- variableDeclarationIR : EC_1 ARCH_1 `EMPTY
  1. Let context EC1, state ARCH1, and result declarationResult be

  2. If let exitResult be declarationResult:

    1. Result in context EC1, state ARCH1, and result EXIT.

  3. Else if let continueEmptyResult be declarationResult:

    1. Result in context EC1, state ARCH1, and result `EMPTY.

16.2.5. Action declarations

See Section 11.6 for general information about action declarations.

16.2.5.1. Type checking
Click to view the specification source
rulegroup ControlLocalDecl_ok/actionDeclaration:
  rule ControlLocalDecl_ok/actionDeclaration:
  TC_0 |- actionDeclaration : TC_1 actionDeclarationIR
 -- ActionDecl_ok: BLOCK TC_0 |- actionDeclaration : TC_1 actionDeclarationIR
  1. Let context TC1 and actionDeclarationIR be

  2. Result in context TC1 and actionDeclarationIR.

16.2.5.2. Compile-time evaluation
Click to view the specification source
rulegroup ControlLocalDecl_inst/actionDeclarationIR:
  rule ControlLocalDecl_inst/actionDeclarationIR:
  IC_0 STO |- actionDeclarationIR : IC_1 STO eps
 -- ActionDecl_inst: BLOCK IC_0 |- actionDeclarationIR : IC_1

16.3. Match-action tables

tables are the primary mechanism for implementing match-action behavior in P4 programs. A table performs a lookup based on a key computed from the packet header fields and other metadata, and applies an action associated with the matching entry in the table.

A table is declared with standard properties and target-specific custom properties.

tableDeclaration
   : annotationList TABLE name `{ tablePropertyList }
   ;

tablePropertyList
   : /* empty */
   | tablePropertyList tableProperty
   ;

tableProperty
   : KEY = `{ tableKeyList }
   | ACTIONS = `{ tableActionList }
   | annotationList constOpt ENTRIES = `{ tableEntryList }
   | annotationList constOpt tableCustomName initializer ;
   ;

The standard table properties include:

  • key: An expression that describes how the key used for look-up is computed.

  • actions: A list of all actions that may be found in the table.

In addition, the tables may optionally define the following properties,

  • default_action: an action to execute when the lookup in the lookup table fails to find a match for the key used.

  • size: an integer specifying the desired size of the table.

  • entries: entries that are initially added to a table when the P4 program is loaded, some or all of which may be unchangeable by the control plane software.

  • largest_priority_wins: Only useful for some tables with the entries property. See [sec-table-entries] for details.

  • priority_delta: Only useful for some tables with the entries property. See [sec-table-entries] for details.

The compiler must set the default_action to NoAction (and also insert it into the list of actions) for tables that do not define the default_action property. Hence, all tables can be thought of as having a default_action property, either implicitly or explicitly.

In addition, tables may contain architecture-specific properties (see [sec-additional-table-properties]).

A property marked as const cannot be changed dynamically by the control plane. The key, actions, and size properties cannot be modified so the const keyword is not needed for these.

16.3.1. Semantics of match-action table properties

16.3.1.1. Type checking

Table properties are type checked with the relation:

Click to view the specification source
relation TableProperty_ok: typingContext tableContext |- tableProperty : tableContext tablePropertyIR

A list of table properties are type checked as:

Click to view the specification source
relation TableProperties_ok: typingContext tableContext |- tableProperty* : tableContext tablePropertyListIR
Click to view the specification source
rulegroup TableProperties_ok:
  rule TableProperties_ok/nil:
  TC TBLC |- eps : TBLC eps
  rule TableProperties_ok/cons:
  TC TBLC_0 |- (tableProperty_h :: tableProperty_t*) : TBLC_2 (tablePropertyIR_h :: tablePropertyIR_t*)
 -- TableProperty_ok: TC TBLC_0 |- tableProperty_h : TBLC_1 tablePropertyIR_h
 -- TableProperties_ok: TC TBLC_1 |- tableProperty_t* : TBLC_2 tablePropertyIR_t*
  1. If tableProperty* is equal to ·:

    1. Result in table context tableContext and ·.

  2. If let tablePropertyh :: tablePropertyt* be tableProperty*:

    1. Let table context TBLC1 and tablePropertyIRh be

    2. Let table context TBLC2 and tablePropertyIRt* be

    3. Result in table context TBLC2 and tablePropertyIRh :: tablePropertyIRt*.

16.3.1.2. Compile-time evaluation

Table properties are compile-time evaluated with the relation:

Click to view the specification source
relation TableProperty_inst: instContext store |- tablePropertyIR : store tablePropertyIR

After type checking, table properties are represented in P4IR as:

tablePropertyListIR = tablePropertyIR*

tablePropertyIR
   : tableKeysPropertyIR
   | tableActionsPropertyIR
   | tableDefaultActionPropertyIR
   | tableEntriesPropertyIR
   | tableCustomPropertyIR
   ;

A list of table properties are compile-time evaluated as:

Click to view the specification source
relation TableProperties_inst: instContext store |- tablePropertyIR* : store tablePropertyIR*
Click to view the specification source
rulegroup TableProperties_inst:
  rule TableProperties_inst/nil:
  IC STO |- eps : STO eps
  rule TableProperties_inst/cons:
  IC STO_0 |- tablePropertyIR_h :: tablePropertyIR_t* : STO_2 (tablePropertyIR_h_inst :: tablePropertyIR_t_inst*)
 -- TableProperty_inst: IC STO_0 |- tablePropertyIR_h : STO_1 tablePropertyIR_h_inst
 -- TableProperties_inst: IC STO_1 |- tablePropertyIR_t* : STO_2 tablePropertyIR_t_inst*
  1. If tablePropertyIR* is equal to ·:

    1. Result in store store and ·.

  2. If let tablePropertyIRh :: tablePropertyIRt* be tablePropertyIR*:

    1. Let store STO1 and tablePropertyIRh_inst be

    2. Let store STO2 and tablePropertyIRt_inst* be

    3. Result in store STO2 and tablePropertyIRh_inst :: tablePropertyIRt_inst*.

During compile-time evaluation, local instances within table properties are instantiated.

The following subsections describe the standard properties of tables in more detail.

16.3.2. Table keys

The key is a table property which specifies the data-plane values that should be used to look up an entry. A key is a list of pairs of the form (e : m), where e is an expression that describes the data to be matched in the table, and m is a match_kind that describes the algorithm used to perform the lookup (see Section Section 8.2.5).

tableKeyList
   : /* empty */
   | tableKeyList tableKey
   ;

tableKey
   : expression : name annotationList ;
   ;

For example, consider the following program fragment:

table Fwd {
    key = {
       ipv4header.dstAddress : ternary;
       ipv4header.version    : exact;
    }
    // more fields omitted
}

Here the key comprises two fields from the ipv4header header: dstAddress and version. The match_kind elements serve three purposes:

  • They specify the algorithm used to match data-plane values against the entries in the table at runtime.

  • They are used to synthesize the control-plane API that is used to populate the table.

  • They are used by the compiler back-end to allocate resources for the implementation of the table.

The P4 core library contains three predefined match_kind identifiers:

match_kind {
   exact,
   ternary,
   lpm
}

These identifiers correspond to the P414 match kinds with the same names. The semantics of these match kinds is actually not needed to describe the behavior of the P4 abstract machine; how they are used influences only the control-plane API and the implementation of the look-up table. From the point of view of the P4 program, a look-up table is an abstract finite map that is given a key and produces as a result either an action or a "miss" indication, as described in Section 16.3.7.

The expected meaning of these values is as follows:

  • an exact match kind on a key field means that the value of the field in the table specifies exactly the value the lookup key field must have in order to match. This is applicable for all legal key fields whose types support equality comparisons.

  • a ternary match kind on a key field means that the field in the table specifies a set of values for the key field using a value and a mask. The meaning of the (value, mask) pair is similar to the P4 mask expressions, as described in Section 8.6.5.1.3: a key field k matches the table entry when k & mask == value & mask.

  • a lpm (longest prefix match) match kind on a key field is a specific type of ternary match where the mask is required to have a form in binary that is a contiguous set of 1 bits followed by a contiguous set of 0 bits. Masks with more 1 bits have automatically higher priorities. A mask with all bits 0 is legal.

Some table entries, in particular the ones with at least one ternary field, also require a priority value. A priority is a numeric value which is used to break ties when a particular key belongs to multiple sets. When table entries are specified in the P4 program the priorities are generated by the compiler; when entries are specified by the control-plane, the priority may need to be explicitly specified. Entries with higher priority are matched first. This specification does not mandate whether "higher" priorities are represented by higher or lower numeric values; this choice is left to the target implementation.

An example specifying entries for a table is given in [sec-table-entries].

If a table has no key property, or if the value of its key property is the empty tuple, i.e. key = {}, then it contains no look-up table, just a default action—​i.e., the associated lookup table is always the empty map.

Each key element can have an optional @name annotation which is used to synthesize the control-plane-visible name for the key field.

Note some implementations might only support a limited number of keys or a limited combinations of match_kind for the keys. The implementation should reject those cases with an error message in this case.

16.3.2.1. Type checking

A table key property is type checked as follows:

Click to view the specification source
rulegroup TableProperty_ok/key:
  rule TableProperty_ok/key:
  TC TBLC_0 |- KEY = `{tableKeyList} : TBLC_1 (KEY = `{tableKeyIR*})
 -- if tableKey* = $flatten_tableKeyList(tableKeyList)
 -- TableKeys_ok: TC TBLC_0 |- tableKey* : TBLC_1 tableKeyIR*
  1. Let tableKey* be tableKeyList flattened.

  2. Let table context TBLC1 and tableKeyIR* be

  3. Result in table context TBLC1 and KEY = { tableKeyIR* }.

After type checking, a table key property is represented in P4IR as:

tableKeysPropertyIR
   : KEY = `{ tableKeyListIR }
   ;

tableKeyListIR = tableKeyIR*

tableKeyIR
   : typedExpressionIR : nameIR annotationList ;
   ;

Table keys are type checked with the following relation:

Click to view the specification source
relation TableKeys_ok: typingContext tableContext |- tableKey* : tableContext tableKeyListIR
Click to view the specification source
rulegroup TableKeys_ok:
  rule TableKeys_ok/nil:
  TC TBLC |- eps : TBLC eps
  rule TableKeys_ok/cons:
  TC TBLC_0 |- (tableKey_h :: tableKey_t*) : TBLC_2 (tableKeyIR_h :: tableKeyIR_t*)
 -- TableKey_ok: TC TBLC_0 |- tableKey_h : TBLC_1 tableKeyIR_h
 -- TableKeys_ok: TC TBLC_1 |- tableKey_t* : TBLC_2 tableKeyIR_t*
  1. If tableKey* is equal to ·:

    1. Result in table context tableContext and ·.

  2. If let tableKeyh :: tableKeyt* be tableKey*:

    1. Let table context TBLC1 and tableKeyIRh be

    2. Let table context TBLC2 and tableKeyIRt* be

    3. Result in table context TBLC2 and tableKeyIRh :: tableKeyIRt*.

The relation invokes the following relation for each key:

Click to view the specification source
relation TableKey_ok: typingContext tableContext |- tableKey : tableContext tableKeyIR
Click to view the specification source
rulegroup TableKey_ok:
  rule TableKey_ok:
  TC TBLC_0 |- expression : name_matchkind annotationList ; : TBLC_2 tableKeyIR
 -- Expr_ok: LOCAL TC |- expression : typedExpressionIR
 -- if typedExpressionIR_reduced = $reduce_serenum(typedExpressionIR)
 -- if typeIR_reduced = $type_of_typedExpressionIR(typedExpressionIR_reduced)
 -- Type_wf: $bound(LOCAL, TC) |- SET `<typeIR_reduced>
 -- if nameIR_matchkind = $name(name_matchkind)
 -- if MATCH_KIND . nameIR_matchkind = $find_var_value_t(` nameIR_matchkind, LOCAL, TC)
 -- if $compat_table_key(nameIR_matchkind, typeIR_reduced)
 -- if TBLC_1 = $update_mode_tbl(TBLC_0, nameIR_matchkind, typeIR_reduced)
 -- if TBLC_2 = $add_key_tbl(TBLC_1, nameIR_matchkind, typeIR_reduced)
 -- if tableKeyIR = typedExpressionIR_reduced : nameIR_matchkind annotationList ;
16.3.2.2. Compile-time evaluation
Click to view the specification source
rulegroup TableProperty_inst/tableKeysPropertyIR:
  rule TableProperty_inst/tableKeysPropertyIR:
  IC STO |- tableKeysPropertyIR : STO tableKeysPropertyIR
16.3.2.3. Runtime evaluation

A table key is evaluated at runtime as follows:

Click to view the specification source
relation TableKey_eval: evalContext arch |- tableKeyIR : evalContext arch tableKeyResult

The result of evaluating a table key is:

tableKeyResult
   : continueResult<tableKeyValue>
   | exitResult
   ;

tableKeyValue
   : value : nameIR
   ;

exitResult
   : EXIT
   ;
Click to view the specification source
rulegroup TableKey_eval:
  rule TableKey_eval/exit:
  EC_0 ARCH_0 |- typedExpressionIR : nameIR _ ; : EC_1 ARCH_1 EXIT
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 EXIT
  rule TableKey_eval/cont:
  EC_0 ARCH_0 |- typedExpressionIR : nameIR _ ; : EC_1 ARCH_1 (` tableKeyValue)
 -- Expr_eval: LOCAL EC_0 ARCH_0 |- typedExpressionIR : EC_1 ARCH_1 (` value)
 -- if tableKeyValue = value : nameIR
  1. Let context EC1, state ARCH1 and expressionResult be

  2. If let exitResult be expressionResult:

    1. Result in context EC1, state ARCH1 , and result EXIT.

  3. Else if let value be expressionResult:

    1. Let tableKeyValue be value : nameIR.

    2. Result in context EC1, state ARCH1 , and result tableKeyValue.

A list of table keys is evaluated at runtime as follows:

Click to view the specification source
relation TableKeys_eval: evalContext arch |- tableKeyListIR : evalContext arch tableKeysResult

The result of evaluating table keys is:

tableKeysResult
   : continueResult<tableKeyValue*>
   | exitResult
   ;
Click to view the specification source
rulegroup TableKeys_eval:
  rule TableKeys_eval/nil:
  EC ARCH |- eps : EC ARCH (` eps)
  rule TableKeys_eval/cons-head-exit:
  EC_0 ARCH_0 |- tableKeyIR_h :: tableKeyIR_t* : EC_1 ARCH_1 EXIT
 -- TableKey_eval: EC_0 ARCH_0 |- tableKeyIR_h : EC_1 ARCH_1 EXIT
  rule TableKeys_eval/cons-head-cont-tail-exit:
  EC_0 ARCH_0 |- tableKeyIR_h :: tableKeyIR_t* : EC_2 ARCH_2 EXIT
 -- TableKey_eval: EC_0 ARCH_0 |- tableKeyIR_h : EC_1 ARCH_1 (` tableKeyValue_h)
 -- TableKeys_eval: EC_1 ARCH_1 |- tableKeyIR_t* : EC_2 ARCH_2 EXIT
  rule TableKeys_eval/cons-head-cont-tail-cont:
  EC_0 ARCH_0 |- tableKeyIR_h :: tableKeyIR_t* : EC_2 ARCH_2 (` tableKeyValue*)
 -- TableKey_eval: EC_0 ARCH_0 |- tableKeyIR_h : EC_1 ARCH_1 (` tableKeyValue_h)
 -- TableKeys_eval: EC_1 ARCH_1 |- tableKeyIR_t* : EC_2 ARCH_2 (` tableKeyValue_t*)
 -- if tableKeyValue* = tableKeyValue_h :: tableKeyValue_t*
  1. If tableKeyIR* is equal to ·:

    1. Result in context evalContext, state arch , and result ·.

  2. If let tableKeyIRh :: tableKeyIRt* be tableKeyIR*:

    1. Let context EC1, state ARCH1 , and result tableKeyResult be

    2. If let exitResult be tableKeyResult:

      1. Result in context EC1, state ARCH1 , and result EXIT.

    3. Else:

      1. Let tableKeyValueh be tableKeyResult.

      2. Let context EC2, state ARCH2 , and result tableKeysResult be

      3. If let exitResult be tableKeysResult:

        1. Result in context EC2, state ARCH2 , and result EXIT.

      4. Else:

        1. Let tableKeyValuet* be tableKeysResult.

        2. Let tableKeyValue* be tableKeyValueh :: tableKeyValuet*.

        3. Result in context EC2, state ARCH2 , and result tableKeyValue*.

16.3.3. Table actions

A table must declare all possible actions that may appear within the associated lookup table or in the default action. This is done with the actions property; the value of this property is always an actionList:

tableActionList
   : /* empty */
   | tableActionList tableAction
   ;

tableAction
   : annotationList tableActionReference ;
   ;

tableActionReference
   : prefixedNonTypeName
   | prefixedNonTypeName `( argumentList )
   ;

To illustrate, recall the example Very Simple Switch program in Section 5.3:

action Drop_action() {
  outCtrl.outputPort = DROP_PORT;
}

action Rewrite_smac(EthernetAddress sourceMac) {
  headers.ethernet.srcAddr = sourceMac;
}

table smac {
    key = { outCtrl.outputPort : exact; }
    actions = {
        Drop_action;
        Rewrite_smac;
    }
}
  • The entries in the smac table may contain two different actions: Drop_action and Rewrite_mac.

  • The Rewrite_smac action has one parameter, sourceMac, which in this case will be provided by the control plane.

Each action in the list of actions for a table must have a distinct name—​e.g., the following program fragment is illegal:

action a() {}
control c() {
    action a() {}
    // Illegal table: two actions with the same name
    table t { actions = { a; .a; } }
}

Each action parameter that has a direction (in, inout, or out) must be bound in the actions list specification; conversely, no directionless parameters may be bound in the list. The expressions supplied as arguments to an action are not evaluated until the action is invoked. Applying tables, whether directly via an expression like table1.apply().hit, or indirectly, are forbidden in the expressions supplied as action arguments.

action a(in bit<32> x) { /* body omitted */ }
bit<32> z;
action b(inout bit<32> x, bit<8> data) { /* body omitted */ }
table t {
    actions = {
       // a; -- illegal, x parameter must be bound
       a(5);  // binding a's parameter x to 5
       b(z);  // binding b's parameter x to z
       // b(z, 3); -- illegal, cannot bind directionless data parameter
       // b(); -- illegal, x parameter must be bound
       // a(table2.apply().hit ? 5 : 3); -- illegal, cannot apply a table here
    }
}
16.3.3.1. Type checking

A table action property is type checked as follows:

Click to view the specification source
rulegroup TableProperty_ok/actions:
  rule TableProperty_ok/actions:
  TC TBLC_0 |- ACTIONS = `{tableActionList} : TBLC_1 (ACTIONS = `{tableActionIR*})
 -- if tableAction* = $flatten_tableActionList(tableActionList)
 -- TableActions_ok: TC TBLC_0 |- tableAction* : TBLC_1 tableActionIR*
  1. Let tableAction* be tableActionList flattened.

  2. Let table context TBLC1 and tableActionIR* be

  3. Result in table context TBLC1 and ACTIONS = { tableActionIR* }.

After type checking, a table action property is represented in P4IR as:

tableActionsPropertyIR
   : ACTIONS = `{ tableActionListIR }
   ;

tableActionListIR = tableActionIR*

tableActionIR
   : annotationList tableActionReferenceIR #
       `( parameterListIR , parameterListIR ) ;
   ;

tableActionReferenceIR
   : prefixedNameIR `( argumentListIR )
   ;

Table actions are type checked with the following relation:

Click to view the specification source
relation TableActions_ok: typingContext tableContext |- tableAction* : tableContext tableActionListIR
Click to view the specification source
rulegroup TableActions_ok:
  rule TableActions_ok/nil:
  TC TBLC |- eps : TBLC eps
  rule TableActions_ok/cons:
  TC TBLC_0 |- (tableAction_h :: tableAction_t*) : TBLC_2 (tableActionIR_h :: tableActionIR_t*)
 -- TableAction_ok: TC TBLC_0 |- tableAction_h : TBLC_1 tableActionIR_h
 -- TableActions_ok: TC TBLC_1 |- tableAction_t* : TBLC_2 tableActionIR_t*
  1. If tableAction* is equal to ·:

    1. Result in table context tableContext and ·.

  2. If let tableActionh :: tableActiont* be tableAction*:

    1. Let table context TBLC1 and tableActionIRh be

    2. Let table context TBLC2 and tableActionIRt* be

    3. Result in table context TBLC2 and tableActionIRh :: tableActionIRt*.

The relation invokes the following relation for each action:

Click to view the specification source
relation TableAction_ok: typingContext tableContext |- tableAction : tableContext tableActionIR
Click to view the specification source
rulegroup TableAction_ok:
  rule TableAction_ok/prefixedNonTypeName:
  TC TBLC_0 |- annotationList prefixedNonTypeName ; : TBLC_1 tableActionIR
 -- if prefixedNameIR = $prefixedNonTypeName(prefixedNonTypeName)
 -- if (_, annotationList_action ACTION _ `(parameterIR*)) = $find_callableDef_non_overloaded_t(LOCAL, TC, prefixedNameIR)
 -- if annotation_name? = $find_name_annotation_opt(annotationList_action)
 -- if annotationList_update = $add_annotationList(annotationList, annotation_name?)
 -- Call_action_partial_ok: TC |- parameterIR* @ eps : parameterIR_data* , parameterIR_control* @ eps
 -- if TBLC_1 = $add_action_tbl(TBLC_0, prefixedNameIR, parameterIR*, eps)
 -- if tableActionIR = annotationList_update (prefixedNameIR `(eps)) # `(parameterIR_data* , parameterIR_control*) ;
  rule TableAction_ok/prefixedNonTypeName-argumentList:
  TC TBLC_0 |- annotationList (prefixedNonTypeName `(argumentList)) ; : TBLC_1 tableActionIR
 -- if prefixedNameIR = $prefixedNonTypeName(prefixedNonTypeName)
 -- if (_, annotationList_action ACTION _ `(parameterIR*)) = $find_callableDef_non_overloaded_t(LOCAL, TC, prefixedNameIR)
 -- if annotation_name? = $find_name_annotation_opt(annotationList_action)
 -- if annotationList_update = $add_annotationList(annotationList, annotation_name?)
 -- ArgumentList_ok: LOCAL TC |- argumentList : argumentIR*
 -- Call_action_partial_ok: TC |- parameterIR* @ argumentIR* : parameterIR_data* , parameterIR_control* @ argumentIR_cast*
 -- if TBLC_1 = $add_action_tbl(TBLC_0, prefixedNameIR, parameterIR*, argumentIR_cast*)
 -- if tableActionIR = annotationList_update (prefixedNameIR `(argumentIR_cast*)) # `(parameterIR_data* , parameterIR_control*) ;
  1. If let prefixedNonTypeName be tableActionReference:

    1. Let prefixedNameIR be the prefixed name of prefixedNonTypeName.

    2. Let ( _, callableTypeDefIR ) be ! the non-overloaded callable definition of prefixedNameIR from the LOCAL layer of TC.

    3. Check that callableTypeDefIR has type actionTypeIR.

    4. Let annotationListaction ACTION _ ( parameterIR* ) be callableTypeDefIR.

    5. Let annotationname? be $find_name_annotation_opt(annotationListaction).

    6. Let annotationListupdate be $add_annotationList(annotationList, annotationname?).

    7. Let parameters parameterIRdata* for data-plane, parameterIRcontrol* for control-plane, and casted argumentIR* be

    8. Check that argumentIR* is an empty list.

    9. Let TBLC1 be TBLC0 with match action prefixedNameIR ( parameterIR* ) applied using · added.

    10. Let tableActionIR be annotationListupdate prefixedNameIR ( · ) # ( parameterIRdata* , parameterIRcontrol* ) ;.

    11. Result in table context TBLC1 and tableActionIR.

  2. Else:

    1. Let prefixedNonTypeName ( argumentList ) be tableActionReference.

    2. Let prefixedNameIR be the prefixed name of prefixedNonTypeName.

    3. Let ( _, callableTypeDefIR ) be ! the non-overloaded callable definition of prefixedNameIR from the LOCAL layer of TC.

    4. Check that callableTypeDefIR has type actionTypeIR.

    5. Let annotationListaction ACTION _ ( parameterIR* ) be callableTypeDefIR.

    6. Let annotationname? be $find_name_annotation_opt(annotationListaction).

    7. Let annotationListupdate be $add_annotationList(annotationList, annotationname?).

    8. Let argumentIR* be

    9. Let parameters parameterIRdata* for data-plane, parameterIRcontrol* for control-plane, and casted argumentIRcast* be

    10. Let TBLC1 be TBLC0 with match action prefixedNameIR ( parameterIR* ) applied using argumentIRcast* added.

    11. Let tableActionIR be annotationListupdate prefixedNameIR ( argumentIRcast* ) # ( parameterIRdata* , parameterIRcontrol* ) ;.

    12. Result in table context TBLC1 and tableActionIR.

To check that each action conforms to the calling convention, the following relation is used:

Click to view the specification source
relation Call_action_partial_ok: typingContext |- parameterIR* @ argumentListIR : parameterIR* , parameterIR* @ argumentListIR
Click to view the specification source
rulegroup Call_action_partial_ok:
  rule Call_action_partial_ok:
  TC |- parameterIR* @ argumentIR* : parameterIR_data* , parameterIR_control* @ argumentIR_cast*
 -- if (parameterIR_data*, parameterIR_control*) = $split_dataplane_parameters(parameterIR*)
 -- if |parameterIR_data*| = |argumentIR*|
 -- if typedExpressionIR_sub* = $subexpressions_of_argumentListIR(argumentIR*)
 -- if $forall_((~$is_table_application(typedExpressionIR_sub))*)
 -- Call_convention_ok: LOCAL TC ACTION |- parameterIR_data* @ argumentIR* : argumentIR_cast*
  1. Let ( parameterIRdata*, parameterIRcontrol* ) be parameterIR* split into data-plane and control-plane parameters.

  2. Check that the length of parameterIRdata* is equal to the length of argumentIR*.

  3. Let typedExpressionIRsub* be the sub-expressions of argumentIR*.

  4. Check that all $is_table_application(typedExpressionIRsub~)* are true.

  5. Let casted argumentIRcast* be

  6. Result in parameters parameterIRdata* for data-plane, parameterIRcontrol* for control-plane, and casted argumentIRcast*.

16.3.3.2. Compile-time evaluation
Click to view the specification source
rulegroup TableProperty_inst/tableActionsPropertyIR:
  rule TableProperty_inst/tableActionsPropertyIR:
  IC STO |- tableActionsPropertyIR : STO tableActionsPropertyIR

16.3.4. Table default actions

The default action for a table is an action that is invoked automatically by the match-action unit whenever the lookup table does not find a match for the supplied key.

If present, the default_action property must appear after the action property. It may be declared as const, indicating that it cannot be changed dynamically by the control-plane. The default action must be one of the actions that appear in the actions list. In particular, the expressions passed as in, out, or inout parameters must be syntactically identical to the expressions used in one of the elements of the actions list.

For example, in the above table we could set the default action as follows (marking it also as constant):

const default_action = Rewrite_smac(48w0xAA_BB_CC_DD_EE_FF);

Note that the specified default action must supply arguments for the control-plane-bound parameters (i.e., the directionless parameters), since the action is synthesized at compilation time. The expressions supplied as arguments for parameters with a direction (in, inout, or out) are evaluated when the action is invoked while the expressions supplied as arguments for directionless parameters are evaluated at compile time.

Continuing the example from the previous section, the following are several legal and illegal specifications of default actions for the table t:

  default_action = a(5); // OK - no control-plane parameters
  // default_action = a(z); -- illegal, a's x parameter is already bound to 5
  default_action = b(z,8w8); // OK - bind b's data parameter to 8w8
  // default_action = b(z); -- illegal, b's data parameter is not bound
  // default_action = b(x, 3); -- illegal: x parameter of b bound to x instead of z
16.3.4.1. Type checking

A table default action property is type checked as follows:

Click to view the specification source
rulegroup TableProperty_ok/default-action:
  rule TableProperty_ok/default-action:
  TC TBLC |- annotationList constOpt tableCustomName initializer ; : TBLC tablePropertyIR
 -- if "default_action" = $tableCustomName(tableCustomName)
 -- TableDefaultAction_ok: TC TBLC |- initializer : tableActionReferenceIR
 -- if constOptIR = $flatten_constOpt(constOpt)
 -- if tablePropertyIR = annotationList constOptIR DEFAULT_ACTION = tableActionReferenceIR ;
  1. Check that "default_action" is equal to the name of tableCustomName.

  2. Let tableActionReferenceIR be

  3. Let constOptIR be the optional const qualifier in constOpt.

  4. Let tablePropertyIR be annotationList constOptIR DEFAULT_ACTION = tableActionReferenceIR ;.

  5. Result in table context TBLC0 and tablePropertyIR.

After type checking, a table default action property is represented in P4IR as:

tableDefaultActionPropertyIR
   : annotationList constOptIR DEFAULT_ACTION = tableActionReferenceIR ;
   ;

tableActionReferenceIR
   : prefixedNameIR `( argumentListIR )
   ;

Table default actions are type checked with the following relation:

Click to view the specification source
relation TableDefaultAction_ok: typingContext tableContext |- initializer : tableActionReferenceIR
Click to view the specification source
rulegroup TableDefaultAction_ok:
  rule TableDefaultAction_ok/prefixedNonTypeName:
  TC TBLC |- = prefixedNonTypeName : prefixedNameIR `(eps)
 -- if prefixedNameIR = $prefixedNonTypeName(prefixedNonTypeName)
 -- if (eps, eps) = $find_action(TBLC, prefixedNameIR)
  rule TableDefaultAction_ok/prefixedNonTypeName-argumentList:
  TC TBLC |- = (prefixedNonTypeName `(argumentList)) : prefixedNameIR `(argumentIR_cast*)
 -- if prefixedNameIR = $prefixedNonTypeName(prefixedNonTypeName)
 -- if (parameterIR_action*, argumentIR_action*) = $find_action(TBLC, prefixedNameIR)
 -- ArgumentList_ok: LOCAL TC |- argumentList : argumentIR*
 -- Call_action_default_ok: TC |- parameterIR_action* @ argumentIR* : parameterIR_action_data* , parameterIR_action_control* @ argumentIR_cast*
 -- if argumentIR_action_data* = argumentIR_action*[0 : |parameterIR_action_data*|]
 -- if argumentIR_cast_data* = argumentIR_cast*[0 : |parameterIR_action_data*|]
 -- (if (argumentIR_action_data = argumentIR_cast_data))*
  1. If let prefixedNonTypeName be expression:

    1. Let prefixedNameIR be the prefixed name of prefixedNonTypeName.

    2. Check that ( ·, · ) is equal to $find_action(TBLC, prefixedNameIR).

    3. Result in prefixedNameIR ( · ).

  2. Else if let callExpression be expression:

    1. Check that callExpression matches pattern % ( % ).

    2. Let callTarget ( argumentList ) be callExpression.

    3. Check that callTarget has type prefixedNonTypeName.

    4. Let prefixedNonTypeName be callTarget.

    5. Let prefixedNameIR be the prefixed name of prefixedNonTypeName.

    6. Let ( parameterIRaction*, argumentIRaction* ) be ! $find_action(TBLC, prefixedNameIR).

    7. Let argumentIR* be

    8. Let parameters parameterIRaction_data* for data-plane, parameterIRaction_control* for control-plane,and casted argumentIRcast* be

    9. Let argumentIRaction_data* be argumentIRaction*[0 : the length of parameterIRaction_data*].

    10. Let argumentIRcast_data* be argumentIRcast*[0 : the length of parameterIRaction_data*].

    11. Check that argumentIRaction_data is equal to argumentIRcast_data, for all argumentIRaction_data in argumentIRaction_data* and argumentIRcast_data in argumentIRcast_data*.

    12. Result in prefixedNameIR ( argumentIRcast* ).

To check that a default action conforms to the calling convention, the following relation is used:

Click to view the specification source
relation Call_action_default_ok: typingContext |- parameterIR* @ argumentListIR : parameterIR* , parameterIR* @ argumentListIR
Click to view the specification source
rulegroup Call_action_partial_ok:
  rule Call_action_partial_ok:
  TC |- parameterIR* @ argumentIR* : parameterIR_data* , parameterIR_control* @ argumentIR_cast*
 -- if (parameterIR_data*, parameterIR_control*) = $split_dataplane_parameters(parameterIR*)
 -- if |parameterIR_data*| = |argumentIR*|
 -- if typedExpressionIR_sub* = $subexpressions_of_argumentListIR(argumentIR*)
 -- if $forall_((~$is_table_application(typedExpressionIR_sub))*)
 -- Call_convention_ok: LOCAL TC ACTION |- parameterIR_data* @ argumentIR* : argumentIR_cast*
  1. Let ( parameterIRdata*, parameterIRcontrol* ) be parameterIR* split into data-plane and control-plane parameters.

  2. Check that the length of parameterIRdata* is equal to the length of argumentIR*.

  3. Let typedExpressionIRsub* be the sub-expressions of argumentIR*.

  4. Check that all $is_table_application(typedExpressionIRsub~)* are true.

  5. Let casted argumentIRcast* be

  6. Result in parameters parameterIRdata* for data-plane, parameterIRcontrol* for control-plane, and casted argumentIRcast*.

16.3.4.2. Compile-time evaluation
Click to view the specification source
rulegroup TableProperty_inst/tableDefaultActionPropertyIR:
  rule TableProperty_inst/tableDefaultActionPropertyIR:
  IC STO |- tableDefaultActionPropertyIR : STO tableDefaultActionPropertyIR

16.3.5. Table entries

While table entries are typically installed by the control plane, tables may also be initialized at compile time with a set of entries.

Declaring these entries with const entries is useful in situations where tables are used to implement fixed algorithms—​defining table entries statically enables expressing these algorithms directly in P4, which allows the compiler to infer how the table is actually used and potentially make better allocation decisions for targets with limited resources.

Declaring entries with entries (without the const qualifier) enables one to specify a mix of some immutable entries that are always in the table, and some mutable entries that the control plane is allowed to later change or remove.

Entries declared in the P4 source are installed in the table when the program is loaded onto the target. Entries cannot be specified for a table with no key (see Section 16.3.2).

Table entries are defined using the following syntax:

tableEntryList
   : /* empty */
   | tableEntryList tableEntry
   ;

tableEntry
   : constOpt tableEntryPriority keysetExpression : tableActionReference
       annotationList ;
   | constOpt keysetExpression : tableActionReference annotationList ;
   ;

tableEntryPriority
   : PRIORITY = integerLiteral :
   | PRIORITY = `( expression ) :
   ;

Table entries defined using const entries are immutable—​i.e., they can only be read by the control plane. The control plane is not allowed to remove or modify any entries defined within const entries, nor is it allowed to add entries to such a table. It is allowed for individual entries to have the const keyword before them, but this is redundant when the entries are declared using const entries.

Table entries defined using entries (without a const qualifier before it) may have const before them, or not, independently for each entry. Entries with const before them may not be modified or removed by the control plane. Entries without const may be modified or removed by the control plane. It is permitted for the control plane to add entries to such a table (subject to table capacity limitations), unlike tables declared with const entries.

Whether the control plane is allowed to modify a table’s default action at run time is determined by the table’s default_action table property (see Section 16.3.4), independently of whether the control plane is allowed to modify the entries of the table.

The keysetExpression component of an entry is a tuple that must provide a field for each key in the table keys (see [sec-table-props]). The table key type must match the type of the element of the set. The tableActionReference component must be an action which appears in the table actions list (and must not have the @defaultonly annotation), with all its arguments bound.

If no entry priorities are specified in the source code, and if the runtime API requires a priority for the entries of a table—​e.g. when using the P4 Runtime API, tables with at least one ternary search key field—​then the entries are matched in program order, stopping at the first matching entry. Architectures should define the significance of entry order (if any) for other kinds of tables.

Because control-plane APIs cannot insert or remove entries of a table that is declared with const entries, the relative priorities of such a table’s entries are determined solely by the program order of the entries. Therefore assigning numeric priorities to entries of a table that has const entries is not allowed.

Depending on the match_kind of the keys, key set expressions may define one or multiple entries. The compiler will synthesize the correct number of entries to be installed in the table. Target constraints may further restrict the ability of synthesizing entries. For example, if the number of synthesized entries exceeds the table size, the compiler implementation may choose to issue a warning or an error, depending on target capabilities.

To illustrate, consider the following example:

header hdr {
    bit<8>  e;
    bit<16> t;
    bit<8>  l;
    bit<8>  r;
    bit<1>  v;
}

struct Header_t {
    hdr h;
}
struct Meta_t {}

control ingress(inout Header_t h, inout Meta_t m,
                inout standard_metadata_t standard_meta) {

    action a() { standard_meta.egress_spec = 0; }
    action a_params(bit<9> x) { standard_meta.egress_spec = x; }

    table t_exact_ternary {

  	key = {
            h.h.e : exact;
            h.h.t : ternary;
        }

	actions = {
            a;
            a_params;
        }

	default_action = a;

        const entries = {
            (0x01, 0x1111 &&& 0xF   ) : a_params(1);
            (0x02, 0x1181           ) : a_params(2);
            (0x03, 0x1111 &&& 0xF000) : a_params(3);
            (0x04, 0x1211 &&& 0x02F0) : a_params(4);
            (0x04, 0x1311 &&& 0x02F0) : a_params(5);
            (0x06, _                ) : a_params(6);
            _                         : a;
        }
    }

}

In this example we define a set of 7 entries, all of which invoke action a_params except for the final entry which invokes action a. Once the program is loaded, these entries are installed in the table in the order they are enumerated in the program.

16.3.5.1. Entry priorities

If a table has fields where their match_kinds are all exact or lpm, there is no reason to assign numeric priorities to its entries. If they are all exact, duplicate keys are not allowed, and thus every lookup key can match at most one entry, so there is no need for a tiebreaker. If there is an lpm field, the priority of the entry corresponds to the length of the prefix, i.e. if a lookup key matches multiple prefixes, the longest prefix is always the winner.

For tables with other match_kind values, e.g. at least one ternary field, in general it is possible to install multiple entries such that the same lookup key can match the key of multiple entries installed into the table at the same time. Control plane APIs such as P4Runtime API [2] and TDI [4] require control plane software to provide a numeric priority with each entry added to such a table. This enables the data plane to determine which of several matching entries is the "winner", i.e. the one entry whose action is invoked.

Unfortunately there are two commonly used, but different, ways of interpreting numeric priority values.

The P4Runtime API requires numeric priorities to be positive integers, i.e. 1 or larger, and defines that entries with larger priorities must win over entries with smaller priorities. We will call this convention largest_priority_wins.

TDI requires numeric priorities to be non-negative integers, i.e. 0 or larger, and defines that entries with smaller priorities must win over entries with larger priorities. We will call this convention smallest_priority_wins.

We wish to support either of these conventions when developers specify priorities for initial table entries in the program. Thus there is a table property largest_priority_wins. If explicitly specified for a table, its value must be boolean. If true, then the priority values use the largest_priority_wins convention. If false, then the priority values use the smallest_priority_wins convention. If the table property is not present at all, then the default convention is true, corresponding to largest_priority_wins.

We also wish to support developers that want the convenience of predictable entry priority values automatically selected by the compiler, without having to write them in the program, plus the ability to specify entry priorities explicitly, if they wish.

In some cases, developers may wish the initial priority values to have "gaps" between their values, to leave room for possible later insertion of new entries between two initial entries. They can achieve this by explicitly specifying all priority values, of course, but as a convenience we define the table property priority_delta to be a positive integer value, with a default value of 1 if not specified for a table, to use as a default difference between the priorities of consecutive entries.

There are two steps that occur at compile time for a table with the entries property involving entry priorities:

  • Determine the value of the priority of every entry in the entries list.

  • Issue any errors or warnings that are appropriate for these priority values. Warnings may be suppressed via an appropriate @noWarn annotation.

These steps are performed independently for each table with the entries property, and each is described in more detail below.

In general, if the developer specifies a priority value for an entry, that is the value that will be used.

If the developer does not specify priority values for any entry, then the compiler calculates priority values for every entry as follows:

// For this pseudocode, table entries in the `entries` list are
// numbered 0 through n-1, 0 being the first to appear in order in the
// source code.  Their priority values are named prio[0] through
// prio[n-1].
int p = 1;
if (largest_priority_wins == true) {
    for (int j = n-1; j >= 0; j -= 1) {
        prio[j] = p;
        p += priority_delta;
    }
} else {
    for (int j = 0; j < n; j += 1) {
        prio[j] = p;
        p += priority_delta;
    }
}

If the developer specifies priority values for at least one entry, then in order to simplify the rules for determining priorities of entries without one in the source code, the first entry must have a priority value explicitly provided. The priorities of entries that do not have one in the source code (if any) are determined as follows:

// Same conventions here as in the previous block of pseudocode above.
// If entry j has a priority value specified in the source code,
// prio_specified[j] is true, otherwise it is false.
assert(prio_specified[0]);  // compile time error if prio_specified[0] is false
p = prio[0];
for (int j = 1; j < n; j += 1) {
    if (prio_specified[j]) {
        p = prio[j];
    } else {
        if (largest_priority_wins == true) {
            p -= priority_delta;
        } else {
            p += priority_delta;
        }
        prio[j] = p;
    }
}

This is the end of the first step: determining entry priorities.

The priorities determined in this way are the values used when the P4 program is first loaded into a device. Afterwards, the priorities may only change by means provided by the control plane API in use.

In the second step, the compiler issues errors for out of range priority values, and/or warnings for certain combinations of entry priorities that might be unintended by the developer, unless the developer explicitly disables those warnings.

If any priority values are negative, or larger than the maximum supported value, that is a compile time error.

If the annotation @noWarn("duplicate_priorities") is not used on the entries table property, then the compiler issues a warning if any two entries for the same table have equal priority values. Both P4Runtime and TDI leave it unspecified which entry is the winner if a lookup key matches multiple keys that all have the same priority, hence a warning is useful to less experienced developers that are unfamiliar with this unspecified behavior.

If the annotation @noWarn("duplicate_priorities") is used on the entries table property, then no warnings of this type are ever issued by the compiler. Using equal priority values for multiple entries in the same table is sometimes useful in reducing the number of hardware updates required when adding entries to such a table.

If the annotation @noWarn("entries_out_of_priority_order") is not used on the entries table property, then the compiler issues a warning if:

  • If largest_priority_wins is true for the table, and there is any pair of consecutive entries where prio[j] < prio[j+1], then a warning is issued for that pair of entries.

  • If largest_priority_wins is false for the table, and there is any pair of consecutive entries where prio[j] > prio[j+1], then a warning is issued for that pair of entries.

This warning is useful to developers that want the order that entries appear in the source code to match the relative priority of entries in the target device.

If the annotation @noWarn("entries_out_of_priority_order") is used on the entries table property, then no warnings of this type are ever issued by the compiler for this table. his option is provided for developers who explicitly choose to specify entries in an order that does not match their relative priority order.

The following example is the same as the first example in [sec-entries], except for the definition of table t_exact_ternary shown below.

table t_exact_ternary {
    key = {
        h.h.e : exact;
        h.h.t : ternary;
    }

    actions = {
        a;
        a_params;
    }

    default_action = a;

    largest_priority_wins = false;
    priority_delta = 10;
    @noWarn("duplicate_priorities")
    entries = {
        const priority=10: (0x01, 0x1111 &&& 0xF   ) : a_params(1);
                           (0x02, 0x1181           ) : a_params(2); // priority=20
                           (0x03, 0x1000 &&& 0xF000) : a_params(3); // priority=30
        const              (0x04, 0x0210 &&& 0x02F0) : a_params(4); // priority=40
              priority=40: (0x04, 0x0010 &&& 0x02F0) : a_params(5);
                           (0x06, _                ) : a_params(6); // priority=50
    }
}

The entries that do not have an explicit priority specified will be assigned the priority values shown in the comments, because priority_delta is 10, and because of those entries that do have priority values specified.

Normally this program would cause a warning about multiple entries with the same priority of 40, but those warnings will be suppressed because of the @noWarn("duplicate_priorities") annotation.

16.3.6. Additional properties

A table declaration defines its essential control and data plane interfaces—​i.e., keys and actions. However, the best way to implement a table may actually depend on the nature of the entries that will be installed at runtime (for example, tables could be dense or sparse, could be implemented as hash-tables, associative memories, tries, etc.) In addition, some architectures may support extra table properties whose semantics lies outside the scope of this specification. For example, in architectures where table resources are statically allocated, programmers may be required to define a size table property, which can be used by the compiler back-end to allocate storage resources. However, these architecture-specific properties may not change the semantics of table lookups, which always produce either a hit and an action or a miss--they can only change how those results are interpreted on the state of the data plane. This restriction is needed to ensure that it is possible to reason about the behavior of tables during compilation.

As another example, an implementation property could be used to pass additional information to the compiler back-end. The value of this property could be an instance of an extern block chosen from a suitable library of components. For example, the core functionality of the P414 table action_profile constructs could be implemented on architectures that support this feature using a construct such as the following:

extern ActionProfile {
   ActionProfile(bit<32> size); // number of distinct actions expected
}
table t {
    key = { /* body omitted */ }
    size = 1024;
    implementation = ActionProfile(32);  // constructor invocation
}

Here the action profile might be used to optimize for the case where the table has a large number of entries, but the actions associated with those entries are expected to range over a small number of distinct values. Introducing a layer of indirection enables sharing identical entries, which can significantly reduce the table’s storage requirements.

16.3.6.1. Type checking

Additional properties, including size, is type checked as follows:

Click to view the specification source
rulegroup TableProperty_ok/size-and-others:
  rule TableProperty_ok/size:
  TC TBLC |- annotationList constOpt tableCustomName (= expression) ; : TBLC tablePropertyIR
 -- if "size" = $tableCustomName(tableCustomName)
 -- Expr_ok: LOCAL TC |- expression : typedExpressionIR
 -- if typeIR = $type_of_typedExpressionIR(typedExpressionIR)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)
 -- if (typeIR_unroll <: integerTypeIR) /\ ~(typeIR_unroll <: varBitTypeIR)
 -- if constOptIR = $flatten_constOpt(constOpt)
 -- if tablePropertyIR = annotationList constOptIR CUSTOM "size" (= typedExpressionIR) ;
  rule TableProperty_ok/others:
  TC TBLC |- annotationList constOpt tableCustomName (= expression) ; : TBLC tablePropertyIR
 -- if nameIR = $tableCustomName(tableCustomName)
 -- if nameIR =/= "default_action" /\ nameIR =/= "size" /\ nameIR =/= "largest_priority_wins" /\ nameIR =/= "priority_delta"
 -- Expr_ok: LOCAL TC |- expression : typedExpressionIR
 -- if constOptIR = $flatten_constOpt(constOpt)
 -- if tablePropertyIR = annotationList constOptIR CUSTOM nameIR (= typedExpressionIR) ;
  1. If "size" is equal to the name of tableCustomName:

    1. Let typedExpressionIR be

    2. Let typeIR be the type of typedExpressionIR.

    3. Let typeIRunroll be typeIR with typedefs unrolled.

    4. Check that typeIRunroll has type integerTypeIR and typeIRunroll does not have type varBitTypeIR.

    5. Let constOptIR be the optional const qualifier in constOpt.

    6. Let tablePropertyIR be annotationList constOptIR CUSTOM "size" = typedExpressionIR ;.

    7. Result in table context TBLC0 and tablePropertyIR.

  2. Let nameIR be the name of tableCustomName.

  3. If nameIR is not equal to "default_action" and nameIR is not equal to "size" and nameIR is not equal to "largest_priority_wins" and nameIR is not equal to "priority_delta":

    1. Let typedExpressionIR be

    2. Let constOptIR be the optional const qualifier in constOpt.

    3. Let tablePropertyIR be annotationList constOptIR CUSTOM nameIR = typedExpressionIR ;.

    4. Result in table context TBLC0 and tablePropertyIR.

After type checking, these are represented in P4IR as:

tableCustomPropertyIR
   : annotationList constOptIR CUSTOM nameIR initializerIR ;
   | annotationList constOptIR CUSTOM_CONST nameIR constantInitializerIR ;
   ;
16.3.6.2. Compile-time evaluation
Click to view the specification source
rulegroup TableProperty_inst/tableCustomPropertyIR:
  rule TableProperty_inst/custom:
  IC STO_0 |- annotationList constOptIR CUSTOM nameIR (= typedExpressionIR) ; : STO_1 tableCustomPropertyIR_inst
 -- if IC_inner = $enter_path_i(IC, nameIR)
 -- Expr_inst: LOCAL IC_inner STO_0 |- typedExpressionIR : STO_1 value
 -- if tableCustomPropertyIR_inst = annotationList constOptIR CUSTOM_CONST nameIR (= `VALUE value) ;
  rule TableProperty_inst/custom-const:
  IC STO |- annotationList constOptIR CUSTOM_CONST nameIR constantInitializerIR ; : STO tableCustomPropertyIR_inst
 -- if tableCustomPropertyIR_inst = annotationList constOptIR CUSTOM_CONST nameIR constantInitializerIR ;
  1. If let annotationList constOptIR CUSTOM nameIR = typedExpressionIR ; be tableCustomPropertyIR:

    1. Let ICinner be IC with nameIR added to the path.

    2. Let store STO1 and value be

    3. Let tableCustomPropertyIRinst be annotationList constOptIR CUSTOM_CONST nameIR = `VALUE value ;.

    4. Result in store STO1 and tableCustomPropertyIRinst.

  2. Else:

    1. Let annotationList constOptIR CUSTOM_CONST nameIR constantInitializerIR ; be tableCustomPropertyIR.

    2. Let tableCustomPropertyIRinst be annotationList constOptIR CUSTOM_CONST nameIR constantInitializerIR ;.

    3. Result in store STO and tableCustomPropertyIRinst.

16.3.7. Match-action table invocation

The semantics of a table invocation statement:

t.apply();

is given by the following pseudocode (see also Figure 11):

apply_result(m) m.apply() {
    apply_result(m) result;

    var lookupKey = m.buildKey(m.key); // using key block
    action RA = m.table.lookup(lookupKey);
    if (RA == null) {      // miss in lookup table
       result.hit = false;
       RA = m.default_action;  // use default action
    }
    else {
       result.hit = true;
    }
    result.miss = !result.hit;
    result.action_run = action_type(RA);
    evaluate_and_copy_in_RA_args(RA);
    execute(RA);
    copy_out_RA_args(RA);
    return result;
}

The behavior of the buildKey call in the pseudocode above is to evaluate each key expression in the order they appear in the table key definition. The behavior must be the same as if the result of evaluating each key expression is assigned to a fresh temporary variable, before starting the evaluation of the following key expression. For example, this P4 table definition and apply call:

bit<8> f1 (in bit<8> a, inout bit<8> b) {
    b = a + 5;
    return a >> 1;
}
bit<8> x;
bit<8> y;
table t1 {
    key = {
        y & 0x7  : exact @name("masked_y");
        f1(x, y) : exact @name("f1");
        y        : exact;
    }
    // ... rest of table properties defined here, not relevant to example
}
apply {
    // assign values to x and y here, not relevant to example
    t1.apply();
}

is equivalent in behavior to the following table definition and apply call:

// same definition of f1, x, and y as before, so they are not repeated here
bit<8> tmp_1;
bit<8> tmp_2;
bit<8> tmp_3;
table t1 {
    key = {
        tmp_1 : exact @name("masked_y");
        tmp_2 : exact @name("f1");
        tmp_3 : exact @name("y");
    }
    // ... rest of table properties defined here, not relevant to example
}
apply {
    // assign values to x and y here, not relevant to example
    tmp_1 = y & 0x7;
    tmp_2 = f1(x, y);
    tmp_3 = y;
    t1.apply();
}

Note that the second code example above is given in order to specify the behavior of the first one. An implementation is free to choose any technique that achieves this behavior.[5]

The following algorithm describes the evaluation of a table apply method invocation:

Click to view the specification source
rulegroup Call_eval/tableApplyMethodCallee:
  rule Call_eval/tableApplyMethodCallee-exit:
  p EC_0 ARCH_0 |- tableApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_1 ARCH_1 EXIT
 -- if TABLE objectId . APPLY `{frame ; TBL} = tableApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(BLOCK, EC_0)
 -- if EC_callee_1 = EC_callee_0[LOCAL.FRAMES = [frame]]
 -- if typeId :: _ = $rev_<id>(objectId)
 -- Table_eval: EC_callee_1 ARCH_0 |- typeId TBL : EC_callee_2 ARCH_1 EXIT
 -- if EC_1 = $copy_e(BLOCK, EC_callee_2, EC_0)
  rule Call_eval/tableApplyMethodCallee-return:
  p EC_0 ARCH_0 |- tableApplyMethodCallee @ `<typeArgumentListIR> `(argumentListIR) : EC_1 ARCH_1 returnResult
 -- if TABLE objectId . APPLY `{frame ; TBL} = tableApplyMethodCallee
 -- if EC_callee_0 = $inherit_e(BLOCK, EC_0)
 -- if EC_callee_1 = EC_callee_0[LOCAL.FRAMES = [frame]]
 -- if typeId :: _ = $rev_<id>(objectId)
 -- Table_eval: EC_callee_1 ARCH_0 |- typeId TBL : EC_callee_2 ARCH_1 returnResult
 -- if EC_1 = $copy_e(BLOCK, EC_callee_2, EC_0)
  1. Let TABLE objectId . APPLY { frame ; TBL } be tableApplyMethodCallee.

  2. Let ECcallee_0 be copy of EC0 from the BLOCK layer.

  3. Let ECcallee_1 be ECcallee_0 with LOCAL.FRAMES set to frame.

  4. Let typeId* be the reversal of objectId.

  5. Check that typeId* is a non-empty list.

  6. Let typeId' :: _* be typeId*.

  7. Let ECcallee_1 ARCH0 |- typeId' TBL : ECcallee_2 ARCH1 tableResult.

  8. If let exitResult be tableResult:

    1. Let EC1 be $copy_e(BLOCK, ECcallee_2, EC0).

    2. Result in context EC1, state ARCH1, and call result EXIT.

  9. Else:

    1. Let returnResult be tableResult.

    2. Let EC1 be $copy_e(BLOCK, ECcallee_2, EC0).

    3. Result in context EC1, state ARCH1, and call result returnResult.

The table match-action is implemented as:

Click to view the specification source
relation Table_eval: evalContext arch |- typeId tableObjectProperty : evalContext arch tableResult

${rulegroup-title-source: Table_eval} ${rulegroup-title-prose: Table_eval}

17. Casting

P4 provides a limited set of casts between types. While this design is arguably more onerous for programmers, it has several benefits:

  • It makes user intent unambiguous.

  • It makes the costs associated with converting numeric values explicit. Implementing certain casts involves sign extensions, and thus can require significant computational resources on some targets.

  • It reduces the number of cases that have to be considered in the P4 specification. Some targets may not support all casts.

17.1. Explicit casts

The below relation checks whether a type can be explicitly cast to another type.

Click to view the specification source
relation Cast_expl: typeIR -> typeIR

First, the two types are unrolled and checked to see if they are the same type. If so, no cast is needed.

Click to view the specification source
rulegroup Cast_expl:
  rule Cast_expl/equals:
  typeIR_a -> typeIR_b
 -- if typeIR_a_unroll = $unroll_typeIR(typeIR_a)
 -- if typeIR_b_unroll = $unroll_typeIR(typeIR_b)
 -- Type_alpha: typeIR_a_unroll ~~ typeIR_b_unroll
  rule Cast_expl/not-equals:
  typeIR_a -> typeIR_b
 -- if typeIR_a_unroll = $unroll_typeIR(typeIR_a)
 -- if typeIR_b_unroll = $unroll_typeIR(typeIR_b)
 -- Type_alpha:/ typeIR_a_unroll ~~ typeIR_b_unroll
 -- Cast_expl_neq: typeIR_a_unroll -> typeIR_b_unroll

If the two types are not equal, the below relation is applied.

Click to view the specification source
relation Cast_expl_neq: typeIR -> typeIR
Cast from bool to bit<1>
Click to view the specification source
rulegroup Cast_expl_neq/boolean-fixBit:
  rule Cast_expl_neq/boolean-fixBit:
  BOOL -> BIT `(1)
Cast from int to bool, int<S>, or bit<W>
Click to view the specification source
rulegroup Cast_expl_neq/arbitraryInt:
  rule Cast_expl_neq/boolean:
  INT -> BOOL
  rule Cast_expl_neq/fixInt:
  INT -> INT `<_>
  rule Cast_expl_neq/fixBit:
  INT -> BIT `<_>
  1. If typeIR' is equal to BOOL:

    1. Then, the relation holds.

  2. If typeIR' has type fixedIntTypeIR:

    1. Then, the relation holds.

  3. Else if typeIR' has type fixedBitTypeIR:

    1. Then, the relation holds.

Cast from int<S> to int, int<T>, or bit<W>
Click to view the specification source
rulegroup Cast_expl_neq/fixInt:
  rule Cast_expl_neq/arbitraryInt:
  INT `<_> -> INT
  rule Cast_expl_neq/fixInt:
  INT `<w_a> -> INT `<w_b>
  rule Cast_expl_neq/fixBit:
  INT `<w> -> BIT `<w>
  1. If typeIR' is equal to INT:

    1. Then, the relation holds.

  2. Else if typeIR' is equal to BIT < nat >:

    1. Then, the relation holds.

  3. If typeIR' has type fixedIntTypeIR:

    1. Then, the relation holds.

Cast from bit<W> to bool, int, int<S>, or bit<X>
Click to view the specification source
rulegroup Cast_expl_neq/fixBit:
  rule Cast_expl_neq/boolean:
  BIT `<1> -> BOOL
  rule Cast_expl_neq/arbitraryInt:
  BIT `<_> -> INT
  rule Cast_expl_neq/fixInt:
  BIT `<w> -> INT `<w>
  rule Cast_expl_neq/fixBit:
  BIT `<w_a> -> BIT `<w_b>
  1. If nat is equal to 1:

    1. Check that typeIR' is equal to BOOL.

    2. Then, the relation holds.

  2. If typeIR' is equal to INT:

    1. Then, the relation holds.

  3. Else if typeIR' is equal to INT < nat >:

    1. Then, the relation holds.

  4. If typeIR' has type fixedBitTypeIR:

    1. Then, the relation holds.

Cast from a new type to its underlying type, and vice versa
Click to view the specification source
rulegroup Cast_expl_neq/newTypeIR:
  rule Cast_expl_neq/left:
  TYPE _ typeIR_a -> typeIR_b
 -- Cast_impl: typeIR_a -> typeIR_b
  rule Cast_expl_neq/right:
  typeIR_a -> TYPE _ typeIR_b
 -- Cast_impl: typeIR_a -> typeIR_b
  1. If let TYPE _ typeIRa be typeIR:

    1. Check that typeIRa can be implicitly cast to typeIR'.

    2. Then, the relation holds.

  2. If let TYPE _ typeIRb be typeIR':

    1. Check that typeIR can be implicitly cast to typeIRb.

    2. Then, the relation holds.

Cast from an enum with an underlying type to the underlying type, and vice versa
Click to view the specification source
rulegroup Cast_expl_neq/enumTypeIR-serializable:
  rule Cast_expl_neq/left:
  ENUM _ `<typeIR_a> `{_} -> typeIR_b
 -- Cast_impl: typeIR_a -> typeIR_b
  rule Cast_expl_neq/right:
  typeIR_a -> ENUM _ `<typeIR_b> `{_}
 -- Cast_impl: typeIR_a -> typeIR_b
  1. If let ENUM _ < typeIRa > { _* } be typeIR:

    1. Check that typeIRa can be implicitly cast to typeIR'.

    2. Then, the relation holds.

  2. If let ENUM _ < typeIRb > { _* } be typeIR':

    1. Check that typeIR can be implicitly cast to typeIRb.

    2. Then, the relation holds.

Cast from a default type to the target type
Click to view the specification source
rulegroup Cast_expl_neq/defaultTypeIR:
  rule Cast_expl_neq/defaultTypeIR:
  DEFAULT -> typeIR_b
 -- if $is_defaultable_typeIR(typeIR_b)
Cast from an invalid header type to a header or header union type
Click to view the specification source
rulegroup Cast_expl_neq/invalidHeaderTypeIR:
  rule Cast_expl_neq/headerTypeIR:
  HEADER_INVALID -> headerTypeIR
  rule Cast_expl_neq/headerUnionTypeIR:
  HEADER_INVALID -> headerUnionTypeIR
  1. If typeIR' has type headerTypeIR:

    1. Then, the relation holds.

  2. Else if typeIR' has type headerUnionTypeIR:

    1. Then, the relation holds.

Cast from a sequence type to a list, tuple, header stack, struct, header, or another sequence type
Click to view the specification source
rulegroup Cast_expl_neq/sequenceTypeIR-non-default:
  rule Cast_expl_neq/listTypeIR:
  SEQ `<typeIR_a*> -> LIST `<typeIR_b>
 -- (Cast_expl: typeIR_a -> typeIR_b)*
  rule Cast_expl_neq/tupleTypeIR:
  SEQ `<typeIR_a*> -> TUPLE `<typeIR_b*>
 -- (Cast_expl: typeIR_a -> typeIR_b)*
  rule Cast_expl_neq/headerStackTypeIR:
  SEQ `<typeIR_a*> -> typeIR_b `[n_size]
 -- if |typeIR_a*| <= n_size
 -- (Cast_expl: typeIR_a -> typeIR_b)*
  rule Cast_expl_neq/structTypeIR:
  SEQ `<typeIR_a*> -> STRUCT _ `<_> `{(_ typeIR_field_b _ ;)*}
 -- (Cast_expl: typeIR_a -> typeIR_field_b)*
  rule Cast_expl_neq/headerTypeIR:
  SEQ `<typeIR_a*> -> HEADER _ `<_> `{(_ typeIR_field_b _ ;)*}
 -- (Cast_expl: typeIR_a -> typeIR_field_b)*
  1. If let LIST < typeIRb > be typeIR':

    1. Check that typeIRa can be explicitly cast to typeIRb, for all typeIRa in typeIRa*.

    2. Then, the relation holds.

  2. Else if let TUPLE < typeIRb* > be typeIR':

    1. Check that typeIRa can be explicitly cast to typeIRb, for all typeIRa in typeIRa* and typeIRb in typeIRb*.

    2. Then, the relation holds.

  3. Else if let typeIRb [ nsize ] be typeIR':

    1. Check that the length of typeIRa* is less than or equal to nsize.

    2. Check that typeIRa can be explicitly cast to typeIRb, for all typeIRa in typeIRa*.

    3. Then, the relation holds.

  4. Else if let STRUCT _ < _* > { ( _ typeIRfield_b _ ; )* } be typeIR':

    1. Check that typeIRa can be explicitly cast to typeIRfield_b, for all typeIRa in typeIRa* and typeIRfield_b in typeIRfield_b*.

    2. Then, the relation holds.

  5. Else if let HEADER _ < _* > { ( _ typeIRfield_b _ ; )* } be typeIR':

    1. Check that typeIRa can be explicitly cast to typeIRfield_b, for all typeIRa in typeIRa* and typeIRfield_b in typeIRfield_b*.

    2. Then, the relation holds.

Cast from a sequence type with default initializer to a tuple, header stack, struct, or header type
Click to view the specification source
rulegroup Cast_expl_neq/sequenceTypeIR-default:
  rule Cast_expl_neq/tupleTypeIR:
  SEQ `<typeIR_a* , ...> -> TUPLE `<typeIR_b*>
 -- if |typeIR_a*| < |typeIR_b*|
 -- if (typeIR_b_non_default*, typeIR_b_default*) = $partition_<typeIR>(typeIR_b*, |typeIR_a*|)
 -- (Cast_expl: typeIR_a -> typeIR_b_non_default)*
 -- (if $is_defaultable_typeIR(typeIR_b_default))*
  rule Cast_expl_neq/headerStackTypeIR:
  SEQ `<typeIR_a* , ...> -> typeIR_b `[n_size]
 -- if |typeIR_a*| < n_size
 -- (Cast_expl: typeIR_a -> typeIR_b)*
 -- if $is_defaultable_typeIR(typeIR_b)
  rule Cast_expl_neq/structTypeIR:
  SEQ `<typeIR_a* , ...> -> STRUCT _ `<_> `{(_ typeIR_field_b _ ;)*}
 -- if |typeIR_a*| < |typeIR_field_b*|
 -- if (typeIR_field_b_non_default*, typeIR_field_b_default*) = $partition_<typeIR>(typeIR_field_b*, |typeIR_a*|)
 -- (Cast_expl: typeIR_a -> typeIR_field_b_non_default)*
 -- (if $is_defaultable_typeIR(typeIR_field_b_default))*
  rule Cast_expl_neq/headerTypeIR:
  SEQ `<typeIR_a* , ...> -> HEADER _ `<_> `{(_ typeIR_field_b _ ;)*}
 -- if |typeIR_a*| < |typeIR_field_b*|
 -- if (typeIR_field_b_non_default*, typeIR_field_b_default*) = $partition_<typeIR>(typeIR_field_b*, |typeIR_a*|)
 -- (Cast_expl: typeIR_a -> typeIR_field_b_non_default)*
 -- (if $is_defaultable_typeIR(typeIR_field_b_default))*
  1. If let TUPLE < typeIRb* > be typeIR':

    1. Check that the length of typeIRa* is less than the length of typeIRb*.

    2. Let ( typeIRb_non_default*, typeIRb_default* ) be $partition_<typeIR>(typeIRb*, the length of typeIRa*).

    3. Check that typeIRa can be explicitly cast to typeIRb_non_default, for all typeIRa in typeIRa* and typeIRb_non_default in typeIRb_non_default*.

    4. Check that typeIRb_default can be default-initialized, for all typeIRb_default in typeIRb_default*.

    5. Then, the relation holds.

  2. Else if let typeIRb [ nsize ] be typeIR':

    1. Check that the length of typeIRa* is less than nsize.

    2. Check that typeIRa can be explicitly cast to typeIRb, for all typeIRa in typeIRa*.

    3. Check that typeIRb can be default-initialized.

    4. Then, the relation holds.

  3. Else if let STRUCT _ < _* > { ( _ typeIRfield_b _ ; )* } be typeIR':

    1. Check that the length of typeIRa* is less than the length of typeIRfield_b*.

    2. Let ( typeIRfield_b_non_default*, typeIRfield_b_default* ) be $partition_<typeIR>(typeIRfield_b*, the length of typeIRa*).

    3. Check that typeIRa can be explicitly cast to typeIRfield_b_non_default, for all typeIRa in typeIRa* and typeIRfield_b_non_default in typeIRfield_b_non_default*.

    4. Check that typeIRfield_b_default can be default-initialized, for all typeIRfield_b_default in typeIRfield_b_default*.

    5. Then, the relation holds.

  4. Else if let HEADER _ < _* > { ( _ typeIRfield_b _ ; )* } be typeIR':

    1. Check that the length of typeIRa* is less than the length of typeIRfield_b*.

    2. Let ( typeIRfield_b_non_default*, typeIRfield_b_default* ) be $partition_<typeIR>(typeIRfield_b*, the length of typeIRa*).

    3. Check that typeIRa can be explicitly cast to typeIRfield_b_non_default, for all typeIRa in typeIRa* and typeIRfield_b_non_default in typeIRfield_b_non_default*.

    4. Check that typeIRfield_b_default can be default-initialized, for all typeIRfield_b_default in typeIRfield_b_default*.

    5. Then, the relation holds.

Cast from a record type to a struct or header type
Click to view the specification source
rulegroup Cast_expl_neq/recordTypeIR-non-default:
  rule Cast_expl_neq/structTypeIR:
  RECORD `{(_ typeIR_field_a id_field_a ;)*} -> STRUCT _ `<_> `{(_ typeIR_field_b id_field_b ;)*}
 -- if $eq_set<id>(`{id_field_a*}, `{id_field_b*})
 -- (if (typeIR_field_a_aligned = $find_map<id, typeIR>(`{(id_field_a : typeIR_field_a)*}, id_field_a)))*
 -- (if (typeIR_field_b_aligned = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_field_a)))*
 -- (Cast_expl: typeIR_field_a_aligned -> typeIR_field_b_aligned)*
  rule Cast_expl_neq/headerTypeIR:
  RECORD `{(_ typeIR_field_a id_field_a ;)*} -> HEADER _ `<_> `{(_ typeIR_field_b id_field_b ;)*}
 -- if $eq_set<id>(`{id_field_a*}, `{id_field_b*})
 -- (if (typeIR_field_a_aligned = $find_map<id, typeIR>(`{(id_field_a : typeIR_field_a)*}, id_field_a)))*
 -- (if (typeIR_field_b_aligned = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_field_a)))*
 -- (Cast_expl: typeIR_field_a_aligned -> typeIR_field_b_aligned)*
  1. If let STRUCT _ < _* > { ( _ typeIRfield_b idfield_b ; )* } be typeIR':

    1. Check that { idfield_a* } is equal to { idfield_b* }.

    2. Let typeIR''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    3. Check that typeIR''? is defined, for all typeIR''? in typeIR''?*.

    4. Let typeIRfield_a_aligned* be the list obtained by repeating:

      • Let typeIRfield_a_aligned be typeIR''?.

      for each typeIR''? in typeIR''?*

    5. Let typeIR'''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    6. Check that typeIR'''? is defined, for all typeIR'''? in typeIR'''?*.

    7. Let typeIRfield_b_aligned* be the list obtained by repeating:

      • Let typeIRfield_b_aligned be typeIR'''?.

      for each typeIR'''? in typeIR'''?*

    8. Check that typeIRfield_a_aligned can be explicitly cast to typeIRfield_b_aligned, for all typeIRfield_a_aligned in typeIRfield_a_aligned* and typeIRfield_b_aligned in typeIRfield_b_aligned*.

    9. Then, the relation holds.

  2. Else if let HEADER _ < _* > { ( _ typeIRfield_b idfield_b ; )* } be typeIR':

    1. Check that { idfield_a* } is equal to { idfield_b* }.

    2. Let typeIR''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    3. Check that typeIR''? is defined, for all typeIR''? in typeIR''?*.

    4. Let typeIRfield_a_aligned* be the list obtained by repeating:

      • Let typeIRfield_a_aligned be typeIR''?.

      for each typeIR''? in typeIR''?*

    5. Let typeIR'''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    6. Check that typeIR'''? is defined, for all typeIR'''? in typeIR'''?*.

    7. Let typeIRfield_b_aligned* be the list obtained by repeating:

      • Let typeIRfield_b_aligned be typeIR'''?.

      for each typeIR'''? in typeIR'''?*

    8. Check that typeIRfield_a_aligned can be explicitly cast to typeIRfield_b_aligned, for all typeIRfield_a_aligned in typeIRfield_a_aligned* and typeIRfield_b_aligned in typeIRfield_b_aligned*.

    9. Then, the relation holds.

Cast from a record type with default initializer to a struct or header type
Click to view the specification source
rulegroup Cast_expl_neq/recordTypeIR-default:
  rule Cast_expl_neq/structTypeIR:
  RECORD `{(_ typeIR_field_a id_field_a ;)* , ...} -> STRUCT _ `<_> `{(_ typeIR_field_b id_field_b ;)*}
 -- if $sub_set<id>(`{id_field_a*}, `{id_field_b*})
 -- (if (typeIR_field_a_aligned = $find_map<id, typeIR>(`{(id_field_a : typeIR_field_a)*}, id_field_a)))*
 -- (if (typeIR_field_b_non_default_aligned = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_field_a)))*
 -- (Cast_expl: typeIR_field_a_aligned -> typeIR_field_b_non_default_aligned)*
 -- if `{id_default*} = $diff_set<id>(`{id_field_b*}, `{id_field_a*})
 -- (if (typeIR_field_b_default = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_default)))*
 -- (if $is_defaultable_typeIR(typeIR_field_b_default))*
  rule Cast_expl_neq/headerTypeIR:
  RECORD `{(_ typeIR_field_a id_field_a ;)* , ...} -> HEADER _ `<_> `{(_ typeIR_field_b id_field_b ;)*}
 -- if $sub_set<id>(`{id_field_a*}, `{id_field_b*})
 -- (if (typeIR_field_a_aligned = $find_map<id, typeIR>(`{(id_field_a : typeIR_field_a)*}, id_field_a)))*
 -- (if (typeIR_field_b_non_default_aligned = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_field_a)))*
 -- (Cast_expl: typeIR_field_a_aligned -> typeIR_field_b_non_default_aligned)*
 -- if `{id_default*} = $diff_set<id>(`{id_field_b*}, `{id_field_a*})
 -- (if (typeIR_field_b_default = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_default)))*
 -- (if $is_defaultable_typeIR(typeIR_field_b_default))*
  1. If let STRUCT _ < _* > { ( _ typeIRfield_b idfield_b ; )* } be typeIR':

    1. Check that { idfield_a* } is a subset of { idfield_b* }.

    2. Let typeIR''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    3. Check that typeIR''? is defined, for all typeIR''? in typeIR''?*.

    4. Let typeIRfield_a_aligned* be the list obtained by repeating:

      • Let typeIRfield_a_aligned be typeIR''?.

      for each typeIR''? in typeIR''?*

    5. Let typeIR'''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    6. Check that typeIR'''? is defined, for all typeIR'''? in typeIR'''?*.

    7. Let typeIRfield_b_non_default_aligned* be the list obtained by repeating:

      • Let typeIRfield_b_non_default_aligned be typeIR'''?.

      for each typeIR'''? in typeIR'''?*

    8. Check that typeIRfield_a_aligned can be explicitly cast to typeIRfield_b_non_default_aligned, for all typeIRfield_a_aligned in typeIRfield_a_aligned* and typeIRfield_b_non_default_aligned in typeIRfield_b_non_default_aligned*.

    9. Let { iddefault* } be the difference of the sets { idfield_b* } and { idfield_a* }.

    10. Let typeIR''''?* be the list obtained by repeating:

      for each iddefault in iddefault*

    11. Check that typeIR''''? is defined, for all typeIR''''? in typeIR''''?*.

    12. Let typeIRfield_b_default* be the list obtained by repeating:

      • Let typeIRfield_b_default be typeIR''''?.

      for each typeIR''''? in typeIR''''?*

    13. Check that typeIRfield_b_default can be default-initialized, for all typeIRfield_b_default in typeIRfield_b_default*.

    14. Then, the relation holds.

  2. Else if let HEADER _ < _* > { ( _ typeIRfield_b idfield_b ; )* } be typeIR':

    1. Check that { idfield_a* } is a subset of { idfield_b* }.

    2. Let typeIR''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    3. Check that typeIR''? is defined, for all typeIR''? in typeIR''?*.

    4. Let typeIRfield_a_aligned* be the list obtained by repeating:

      • Let typeIRfield_a_aligned be typeIR''?.

      for each typeIR''? in typeIR''?*

    5. Let typeIR'''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    6. Check that typeIR'''? is defined, for all typeIR'''? in typeIR'''?*.

    7. Let typeIRfield_b_non_default_aligned* be the list obtained by repeating:

      • Let typeIRfield_b_non_default_aligned be typeIR'''?.

      for each typeIR'''? in typeIR'''?*

    8. Check that typeIRfield_a_aligned can be explicitly cast to typeIRfield_b_non_default_aligned, for all typeIRfield_a_aligned in typeIRfield_a_aligned* and typeIRfield_b_non_default_aligned in typeIRfield_b_non_default_aligned*.

    9. Let { iddefault* } be the difference of the sets { idfield_b* } and { idfield_a* }.

    10. Let typeIR''''?* be the list obtained by repeating:

      for each iddefault in iddefault*

    11. Check that typeIR''''? is defined, for all typeIR''''? in typeIR''''?*.

    12. Let typeIRfield_b_default* be the list obtained by repeating:

      • Let typeIRfield_b_default be typeIR''''?.

      for each typeIR''''? in typeIR''''?*

    13. Check that typeIRfield_b_default can be default-initialized, for all typeIRfield_b_default in typeIRfield_b_default*.

    14. Then, the relation holds.

17.2. Implicit casts

To keep the language simple and avoid introducing hidden costs, the main implicit casts in P4 are casts from int to fixed-width types and from enums with an underlying type to the underlying type. In particular, applying a binary operation (except shifts and concatenation) to an expression of type int and an expression with a fixed-width type will implicitly cast the int expression to the type of the other expression. For enums with an underlying type, it can be implicitly cast to its underlying type whenever appropriate, including but not limited to in shifts, concatenation, bit slicing indexes, header stack indexes as well as other unary and binary operations.

For example, given the following declarations,

enum bit<8> E {
   a = 5
}

bit<8>  x;
bit<16> y;
int<8>  z;

the compiler will add implicit casts as follows:

  • x + 1 becomes x + (bit<8>)1

  • z < 0 becomes z < (int<8>)0

  • x | 0xFFF becomes x | (bit<8>)0xFFF; overflow warning

  • x + E.a becomes x + (bit<8>)E.a

  • x &&& 8 becomes x &&& (bit<8>)8

  • x << 256 remains unchanged; 256 not implicitly cast to 8w0 in a shift; overflow warning

  • 16w11 << E.a becomes 16w11 << (bit<8>)E.a

  • x[E.a:0] becomes x[(bit<8>)E.a:0]

  • E.a ++ 8w0 becomes (bit<8>)E.a ++ 8w0

The compiler also adds implicit casts when types of different expressions need to match; for example, as described in Section [sec-select], since select labels are compared against the selected expression, the compiler will insert implicit casts for the select labels when they have int types. Similarly, when assigning a structure-valued expression to a structure or header, the compiler will add implicit casts for int fields.

The below relation checks whether a type can be implicitly cast to another type.

Click to view the specification source
relation Cast_impl: typeIR -> typeIR

First, the two types are unrolled and checked to see if they are the same type. If so, no cast is needed.

Click to view the specification source
rulegroup Cast_impl:
  rule Cast_impl/equals:
  typeIR_a -> typeIR_b
 -- if typeIR_a_unroll = $unroll_typeIR(typeIR_a)
 -- if typeIR_b_unroll = $unroll_typeIR(typeIR_b)
 -- Type_alpha: typeIR_a_unroll ~~ typeIR_b_unroll
  rule Cast_impl/not-equals:
  typeIR_a -> typeIR_b
 -- if typeIR_a_unroll = $unroll_typeIR(typeIR_a)
 -- if typeIR_b_unroll = $unroll_typeIR(typeIR_b)
 -- Type_alpha:/ typeIR_a_unroll ~~ typeIR_b_unroll
 -- Cast_impl_neq: typeIR_a_unroll -> typeIR_b_unroll

If the two types are not equal, the below relation is applied.

Click to view the specification source
relation Cast_impl_neq: typeIR -> typeIR
Cast from int to int<S> or bit<W>
Click to view the specification source
rulegroup Cast_impl_neq/arbitraryInt:
  rule Cast_impl_neq/fixInt:
  INT -> INT `<_>
  rule Cast_impl_neq/fixBit:
  INT -> BIT `<_>
  1. If typeIR' has type fixedIntTypeIR:

    1. Then, the relation holds.

  2. Else if typeIR' has type fixedBitTypeIR:

    1. Then, the relation holds.

Cast from an enum with an underlying type to the underlying type
Click to view the specification source
rulegroup Cast_impl_neq/enumTypeIR-serializable:
  rule Cast_impl_neq/enumTypeIR-serializable:
  ENUM _ `<typeIR_a> `{_} -> typeIR_b
 -- Cast_impl: typeIR_a -> typeIR_b
Cast from a default type to the target type
Click to view the specification source
rulegroup Cast_impl_neq/defaultTypeIR:
  rule Cast_impl_neq/defaultTypeIR:
  DEFAULT -> typeIR_b
 -- if $is_defaultable_typeIR(typeIR_b)
Cast from an invalid header type to a header or header union type
Click to view the specification source
rulegroup Cast_impl_neq/invalidHeaderTypeIR:
  rule Cast_impl_neq/headerTypeIR:
  HEADER_INVALID -> headerTypeIR
  rule Cast_impl_neq/headerUnionTypeIR:
  HEADER_INVALID -> headerUnionTypeIR
  1. If typeIR' has type headerTypeIR:

    1. Then, the relation holds.

  2. Else if typeIR' has type headerUnionTypeIR:

    1. Then, the relation holds.

Cast from a sequence type to a list, tuple, header stack, struct, header, or another sequence type
Click to view the specification source
rulegroup Cast_impl_neq/sequenceTypeIR-non-default:
  rule Cast_impl_neq/listTypeIR:
  SEQ `<typeIR_a*> -> LIST `<typeIR_b>
 -- (Cast_impl: typeIR_a -> typeIR_b)*
  rule Cast_impl_neq/tupleTypeIR:
  SEQ `<typeIR_a*> -> TUPLE `<typeIR_b*>
 -- (Cast_impl: typeIR_a -> typeIR_b)*
  rule Cast_impl_neq/headerStackTypeIR:
  SEQ `<typeIR_a*> -> typeIR_b `[n_size]
 -- if |typeIR_a*| <= n_size
 -- (Cast_impl: typeIR_a -> typeIR_b)*
  rule Cast_impl_neq/structTypeIR:
  SEQ `<typeIR_a*> -> STRUCT _ `<_> `{(_ typeIR_field_b _ ;)*}
 -- (Cast_impl: typeIR_a -> typeIR_field_b)*
  rule Cast_impl_neq/headerTypeIR:
  SEQ `<typeIR_a*> -> HEADER _ `<_> `{(_ typeIR_field_b _ ;)*}
 -- (Cast_impl: typeIR_a -> typeIR_field_b)*
  rule Cast_impl_neq/sequenceTypeIR:
  SEQ `<typeIR_a*> -> SEQ `<typeIR_b*>
 -- (Cast_impl: typeIR_a -> typeIR_b)*
  1. If let LIST < typeIRb > be typeIR':

    1. Check that typeIRa can be implicitly cast to typeIRb, for all typeIRa in typeIRa*.

    2. Then, the relation holds.

  2. Else if let TUPLE < typeIRb* > be typeIR':

    1. Check that typeIRa can be implicitly cast to typeIRb, for all typeIRa in typeIRa* and typeIRb in typeIRb*.

    2. Then, the relation holds.

  3. Else if let typeIRb [ nsize ] be typeIR':

    1. Check that the length of typeIRa* is less than or equal to nsize.

    2. Check that typeIRa can be implicitly cast to typeIRb, for all typeIRa in typeIRa*.

    3. Then, the relation holds.

  4. Else if let STRUCT _ < _* > { ( _ typeIRfield_b _ ; )* } be typeIR':

    1. Check that typeIRa can be implicitly cast to typeIRfield_b, for all typeIRa in typeIRa* and typeIRfield_b in typeIRfield_b*.

    2. Then, the relation holds.

  5. Else if let HEADER _ < _* > { ( _ typeIRfield_b _ ; )* } be typeIR':

    1. Check that typeIRa can be implicitly cast to typeIRfield_b, for all typeIRa in typeIRa* and typeIRfield_b in typeIRfield_b*.

    2. Then, the relation holds.

  6. Else if let sequenceTypeIR' be typeIR':

    1. Check that sequenceTypeIR' matches pattern SEQ < % >.

    2. Let SEQ < typeIRb* > be sequenceTypeIR'.

    3. Check that typeIRa can be implicitly cast to typeIRb, for all typeIRa in typeIRa* and typeIRb in typeIRb*.

    4. Then, the relation holds.

Cast from a sequence type with default initializer to a tuple, header stack, struct, or header type
Click to view the specification source
rulegroup Cast_impl_neq/sequenceTypeIR-default:
  rule Cast_impl_neq/tupleTypeIR:
  SEQ `<typeIR_a* , ...> -> TUPLE `<typeIR_b*>
 -- if |typeIR_a*| < |typeIR_b*|
 -- if (typeIR_b_non_default*, typeIR_b_default*) = $partition_<typeIR>(typeIR_b*, |typeIR_a*|)
 -- (Cast_impl: typeIR_a -> typeIR_b_non_default)*
 -- (if $is_defaultable_typeIR(typeIR_b_default))*
  rule Cast_impl_neq/headerStackTypeIR:
  SEQ `<typeIR_a* , ...> -> typeIR_b `[n_size]
 -- if |typeIR_a*| < n_size
 -- (Cast_impl: typeIR_a -> typeIR_b)*
 -- if $is_defaultable_typeIR(typeIR_b)
  rule Cast_impl_neq/structTypeIR:
  SEQ `<typeIR_a* , ...> -> STRUCT _ `<_> `{(_ typeIR_field_b _ ;)*}
 -- if |typeIR_a*| < |typeIR_field_b*|
 -- if (typeIR_field_b_non_default*, typeIR_field_b_default*) = $partition_<typeIR>(typeIR_field_b*, |typeIR_a*|)
 -- (Cast_impl: typeIR_a -> typeIR_field_b_non_default)*
 -- (if $is_defaultable_typeIR(typeIR_field_b_default))*
  rule Cast_impl_neq/headerTypeIR:
  SEQ `<typeIR_a* , ...> -> HEADER _ `<_> `{(_ typeIR_field_b _ ;)*}
 -- if |typeIR_a*| < |typeIR_field_b*|
 -- if (typeIR_field_b_non_default*, typeIR_field_b_default*) = $partition_<typeIR>(typeIR_field_b*, |typeIR_a*|)
 -- (Cast_impl: typeIR_a -> typeIR_field_b_non_default)*
 -- (if $is_defaultable_typeIR(typeIR_field_b_default))*
  1. If let TUPLE < typeIRb* > be typeIR':

    1. Check that the length of typeIRa* is less than the length of typeIRb*.

    2. Let ( typeIRb_non_default*, typeIRb_default* ) be $partition_<typeIR>(typeIRb*, the length of typeIRa*).

    3. Check that typeIRa can be implicitly cast to typeIRb_non_default, for all typeIRa in typeIRa* and typeIRb_non_default in typeIRb_non_default*.

    4. Check that typeIRb_default can be default-initialized, for all typeIRb_default in typeIRb_default*.

    5. Then, the relation holds.

  2. Else if let typeIRb [ nsize ] be typeIR':

    1. Check that the length of typeIRa* is less than nsize.

    2. Check that typeIRa can be implicitly cast to typeIRb, for all typeIRa in typeIRa*.

    3. Check that typeIRb can be default-initialized.

    4. Then, the relation holds.

  3. Else if let STRUCT _ < _* > { ( _ typeIRfield_b _ ; )* } be typeIR':

    1. Check that the length of typeIRa* is less than the length of typeIRfield_b*.

    2. Let ( typeIRfield_b_non_default*, typeIRfield_b_default* ) be $partition_<typeIR>(typeIRfield_b*, the length of typeIRa*).

    3. Check that typeIRa can be implicitly cast to typeIRfield_b_non_default, for all typeIRa in typeIRa* and typeIRfield_b_non_default in typeIRfield_b_non_default*.

    4. Check that typeIRfield_b_default can be default-initialized, for all typeIRfield_b_default in typeIRfield_b_default*.

    5. Then, the relation holds.

  4. Else if let HEADER _ < _* > { ( _ typeIRfield_b _ ; )* } be typeIR':

    1. Check that the length of typeIRa* is less than the length of typeIRfield_b*.

    2. Let ( typeIRfield_b_non_default*, typeIRfield_b_default* ) be $partition_<typeIR>(typeIRfield_b*, the length of typeIRa*).

    3. Check that typeIRa can be implicitly cast to typeIRfield_b_non_default, for all typeIRa in typeIRa* and typeIRfield_b_non_default in typeIRfield_b_non_default*.

    4. Check that typeIRfield_b_default can be default-initialized, for all typeIRfield_b_default in typeIRfield_b_default*.

    5. Then, the relation holds.

Cast from a record type to a struct or header type
Click to view the specification source
rulegroup Cast_impl_neq/recordTypeIR-non-default:
  rule Cast_impl_neq/structTypeIR:
  RECORD `{(_ typeIR_field_a id_field_a ;)*} -> STRUCT _ `<_> `{(_ typeIR_field_b id_field_b ;)*}
 -- if $eq_set<id>(`{id_field_a*}, `{id_field_b*})
 -- (if (typeIR_field_a_aligned = $find_map<id, typeIR>(`{(id_field_a : typeIR_field_a)*}, id_field_a)))*
 -- (if (typeIR_field_b_aligned = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_field_a)))*
 -- (Cast_impl: typeIR_field_a_aligned -> typeIR_field_b_aligned)*
  rule Cast_impl_neq/headerTypeIR:
  RECORD `{(_ typeIR_field_a id_field_a ;)*} -> HEADER _ `<_> `{(_ typeIR_field_b id_field_b ;)*}
 -- if $eq_set<id>(`{id_field_a*}, `{id_field_b*})
 -- (if (typeIR_field_a_aligned = $find_map<id, typeIR>(`{(id_field_a : typeIR_field_a)*}, id_field_a)))*
 -- (if (typeIR_field_b_aligned = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_field_a)))*
 -- (Cast_impl: typeIR_field_a_aligned -> typeIR_field_b_aligned)*
  1. If let STRUCT _ < _* > { ( _ typeIRfield_b idfield_b ; )* } be typeIR':

    1. Check that { idfield_a* } is equal to { idfield_b* }.

    2. Let typeIR''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    3. Check that typeIR''? is defined, for all typeIR''? in typeIR''?*.

    4. Let typeIRfield_a_aligned* be the list obtained by repeating:

      • Let typeIRfield_a_aligned be typeIR''?.

      for each typeIR''? in typeIR''?*

    5. Let typeIR'''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    6. Check that typeIR'''? is defined, for all typeIR'''? in typeIR'''?*.

    7. Let typeIRfield_b_aligned* be the list obtained by repeating:

      • Let typeIRfield_b_aligned be typeIR'''?.

      for each typeIR'''? in typeIR'''?*

    8. Check that typeIRfield_a_aligned can be implicitly cast to typeIRfield_b_aligned, for all typeIRfield_a_aligned in typeIRfield_a_aligned* and typeIRfield_b_aligned in typeIRfield_b_aligned*.

    9. Then, the relation holds.

  2. Else if let HEADER _ < _* > { ( _ typeIRfield_b idfield_b ; )* } be typeIR':

    1. Check that { idfield_a* } is equal to { idfield_b* }.

    2. Let typeIR''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    3. Check that typeIR''? is defined, for all typeIR''? in typeIR''?*.

    4. Let typeIRfield_a_aligned* be the list obtained by repeating:

      • Let typeIRfield_a_aligned be typeIR''?.

      for each typeIR''? in typeIR''?*

    5. Let typeIR'''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    6. Check that typeIR'''? is defined, for all typeIR'''? in typeIR'''?*.

    7. Let typeIRfield_b_aligned* be the list obtained by repeating:

      • Let typeIRfield_b_aligned be typeIR'''?.

      for each typeIR'''? in typeIR'''?*

    8. Check that typeIRfield_a_aligned can be implicitly cast to typeIRfield_b_aligned, for all typeIRfield_a_aligned in typeIRfield_a_aligned* and typeIRfield_b_aligned in typeIRfield_b_aligned*.

    9. Then, the relation holds.

Cast from a record type with default initializer to a struct or header type
Click to view the specification source
rulegroup Cast_impl_neq/recordTypeIR-default:
  rule Cast_impl_neq/structTypeIR:
  RECORD `{(_ typeIR_field_a id_field_a ;)* , ...} -> STRUCT _ `<_> `{(_ typeIR_field_b id_field_b ;)*}
 -- if $sub_set<id>(`{id_field_a*}, `{id_field_b*})
 -- (if (typeIR_field_a_aligned = $find_map<id, typeIR>(`{(id_field_a : typeIR_field_a)*}, id_field_a)))*
 -- (if (typeIR_field_b_non_default_aligned = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_field_a)))*
 -- (Cast_impl: typeIR_field_a_aligned -> typeIR_field_b_non_default_aligned)*
 -- if `{id_default*} = $diff_set<id>(`{id_field_b*}, `{id_field_a*})
 -- (if (typeIR_field_b_default = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_default)))*
 -- (if $is_defaultable_typeIR(typeIR_field_b_default))*
  rule Cast_impl_neq/headerTypeIR:
  RECORD `{(_ typeIR_field_a id_field_a ;)* , ...} -> HEADER _ `<_> `{(_ typeIR_field_b id_field_b ;)*}
 -- if $sub_set<id>(`{id_field_a*}, `{id_field_b*})
 -- (if (typeIR_field_a_aligned = $find_map<id, typeIR>(`{(id_field_a : typeIR_field_a)*}, id_field_a)))*
 -- (if (typeIR_field_b_non_default_aligned = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_field_a)))*
 -- (Cast_impl: typeIR_field_a_aligned -> typeIR_field_b_non_default_aligned)*
 -- if `{id_default*} = $diff_set<id>(`{id_field_b*}, `{id_field_a*})
 -- (if (typeIR_field_b_default = $find_map<id, typeIR>(`{(id_field_b : typeIR_field_b)*}, id_default)))*
 -- (if $is_defaultable_typeIR(typeIR_field_b_default))*
  1. If let STRUCT _ < _* > { ( _ typeIRfield_b idfield_b ; )* } be typeIR':

    1. Check that { idfield_a* } is a subset of { idfield_b* }.

    2. Let typeIR''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    3. Check that typeIR''? is defined, for all typeIR''? in typeIR''?*.

    4. Let typeIRfield_a_aligned* be the list obtained by repeating:

      • Let typeIRfield_a_aligned be typeIR''?.

      for each typeIR''? in typeIR''?*

    5. Let typeIR'''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    6. Check that typeIR'''? is defined, for all typeIR'''? in typeIR'''?*.

    7. Let typeIRfield_b_non_default_aligned* be the list obtained by repeating:

      • Let typeIRfield_b_non_default_aligned be typeIR'''?.

      for each typeIR'''? in typeIR'''?*

    8. Check that typeIRfield_a_aligned can be implicitly cast to typeIRfield_b_non_default_aligned, for all typeIRfield_a_aligned in typeIRfield_a_aligned* and typeIRfield_b_non_default_aligned in typeIRfield_b_non_default_aligned*.

    9. Let { iddefault* } be the difference of the sets { idfield_b* } and { idfield_a* }.

    10. Let typeIR''''?* be the list obtained by repeating:

      for each iddefault in iddefault*

    11. Check that typeIR''''? is defined, for all typeIR''''? in typeIR''''?*.

    12. Let typeIRfield_b_default* be the list obtained by repeating:

      • Let typeIRfield_b_default be typeIR''''?.

      for each typeIR''''? in typeIR''''?*

    13. Check that typeIRfield_b_default can be default-initialized, for all typeIRfield_b_default in typeIRfield_b_default*.

    14. Then, the relation holds.

  2. Else if let HEADER _ < _* > { ( _ typeIRfield_b idfield_b ; )* } be typeIR':

    1. Check that { idfield_a* } is a subset of { idfield_b* }.

    2. Let typeIR''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    3. Check that typeIR''? is defined, for all typeIR''? in typeIR''?*.

    4. Let typeIRfield_a_aligned* be the list obtained by repeating:

      • Let typeIRfield_a_aligned be typeIR''?.

      for each typeIR''? in typeIR''?*

    5. Let typeIR'''?* be the list obtained by repeating:

      for each idfield_a in idfield_a*

    6. Check that typeIR'''? is defined, for all typeIR'''? in typeIR'''?*.

    7. Let typeIRfield_b_non_default_aligned* be the list obtained by repeating:

      • Let typeIRfield_b_non_default_aligned be typeIR'''?.

      for each typeIR'''? in typeIR'''?*

    8. Check that typeIRfield_a_aligned can be implicitly cast to typeIRfield_b_non_default_aligned, for all typeIRfield_a_aligned in typeIRfield_a_aligned* and typeIRfield_b_non_default_aligned in typeIRfield_b_non_default_aligned*.

    9. Let { iddefault* } be the difference of the sets { idfield_b* } and { idfield_a* }.

    10. Let typeIR''''?* be the list obtained by repeating:

      for each iddefault in iddefault*

    11. Check that typeIR''''? is defined, for all typeIR''''? in typeIR''''?*.

    12. Let typeIRfield_b_default* be the list obtained by repeating:

      • Let typeIRfield_b_default be typeIR''''?.

      for each typeIR''''? in typeIR''''?*

    13. Check that typeIRfield_b_default can be default-initialized, for all typeIRfield_b_default in typeIRfield_b_default*.

    14. Then, the relation holds.

17.3. Cast insertion

When typing a P416 program to a P4IR program, all implicit casts are made explicit. This process is called cast insertion. A cast may be inserted such that an expression matches the expected type, and it may also be inserted to ensure that two expressions have the same type.

17.3.1. Casts to match expected type

The below function inserts casts to match expected types.

Click to view the specification source
dec $cast_unary(typedExpressionIR, typeIR) : typedExpressionIR?
Click to view the specification source
def $cast_unary(typedExpressionIR, typeIR_to) = typedExpressionIR
 -- if _ # `(typeIR _) = typedExpressionIR
 -- Type_alpha: typeIR ~~ typeIR_to

def $cast_unary(typedExpressionIR, typeIR_to) = typedExpressionIR_cast
 -- if _ # `(typeIR ctk) = typedExpressionIR
 -- Type_alpha:/ typeIR ~~ typeIR_to
 -- Cast_impl: typeIR -> typeIR_to
 -- if typedExpressionIR_cast = (`(typeIR_to) typedExpressionIR) # `(typeIR_to ctk)

17.3.2. Casts to ensure type equality

The below function inserts casts to ensure that two expressions have the same type.

Click to view the specification source
dec $cast_binary(typedExpressionIR, typedExpressionIR) : (typedExpressionIR, typedExpressionIR)?
Click to view the specification source
def $cast_binary(typedExpressionIR_l, typedExpressionIR_r) = (typedExpressionIR_l, typedExpressionIR_r)
 -- if _ # `(typeIR_l _) = typedExpressionIR_l
 -- if _ # `(typeIR_r _) = typedExpressionIR_r
 -- Type_alpha: typeIR_l ~~ typeIR_r

def $cast_binary(typedExpressionIR_l, typedExpressionIR_r) = (typedExpressionIR_l_cast, typedExpressionIR_r)
 -- if _ # `(typeIR_l ctk_l) = typedExpressionIR_l
 -- if _ # `(typeIR_r _) = typedExpressionIR_r
 -- Type_alpha:/ typeIR_l ~~ typeIR_r
 -- Cast_impl: typeIR_l -> typeIR_r
 -- if typedExpressionIR_l_cast = (`(typeIR_r) typedExpressionIR_l) # `(typeIR_r ctk_l)

def $cast_binary(typedExpressionIR_l, typedExpressionIR_r) = (typedExpressionIR_l, typedExpressionIR_r_cast)
 -- if _ # `(typeIR_l _) = typedExpressionIR_l
 -- if _ # `(typeIR_r ctk_r) = typedExpressionIR_r
 -- Type_alpha:/ typeIR_l ~~ typeIR_r
 -- Cast_impl:/ typeIR_l -> typeIR_r
 -- Cast_impl: typeIR_r -> typeIR_l
 -- if typedExpressionIR_r_cast = (`(typeIR_l) typedExpressionIR_r) # `(typeIR_l ctk_r)

def $cast_binary(typedExpressionIR_l, typedExpressionIR_r) = $cast_binary(typedExpressionIR_l_cast, typedExpressionIR_r)
 -- if _ # `(typeIR_l ctk_l) = typedExpressionIR_l
 -- if _ # `(typeIR_r _) = typedExpressionIR_r
 -- Type_alpha:/ typeIR_l ~~ typeIR_r
 -- Cast_impl:/ typeIR_l -> typeIR_r
 -- Cast_impl:/ typeIR_r -> typeIR_l
 -- if typedExpressionIR_l_cast = $reduce_serenum(typedExpressionIR_l)
 -- if typedExpressionIR_l =/= typedExpressionIR_l_cast

def $cast_binary(typedExpressionIR_l, typedExpressionIR_r) = $cast_binary(typedExpressionIR_l, typedExpressionIR_r_cast)
 -- if _ # `(typeIR_l _) = typedExpressionIR_l
 -- if _ # `(typeIR_r ctk_r) = typedExpressionIR_r
 -- Type_alpha:/ typeIR_l ~~ typeIR_r
 -- Cast_impl:/ typeIR_l -> typeIR_r
 -- Cast_impl:/ typeIR_r -> typeIR_l
 -- if typedExpressionIR_l_cast = $reduce_serenum(typedExpressionIR_l)
 -- if typedExpressionIR_l = typedExpressionIR_l_cast
 -- if typedExpressionIR_r_cast = $reduce_serenum(typedExpressionIR_r)
 -- if typedExpressionIR_r =/= typedExpressionIR_r_cast

def $cast_binary(typedExpressionIR_l, typedExpressionIR_r) = eps
 -- otherwise
  1. Let a pair of type typeIRl and compile-time known-ness _ be the note of typedExpressionIRl.

  2. Let a pair of type typeIRr and compile-time known-ness _ be the note of typedExpressionIRr.

  3. If typeIRl and typeIRr are the same type:

    1. Return ( typedExpressionIRl, typedExpressionIRr ).

  4. Else:

    1. If typeIRl can be implicitly cast to typeIRr:

      1. Let typedExpressionIRl_cast be ( typeIRr ) typedExpressionIRl annotated with a pair of type typeIRr and compile-time known-ness _.

      2. Return ( typedExpressionIRl_cast, typedExpressionIRr ).

    2. Else:

      1. If typeIRr can be implicitly cast to typeIRl:

        1. Let typedExpressionIRr_cast be ( typeIRl ) typedExpressionIRr annotated with a pair of type typeIRl and compile-time known-ness _.

        2. Return ( typedExpressionIRl, typedExpressionIRr_cast ).

      2. Else:

        1. Let typedExpressionIRl_cast be typedExpressionIRl with surrounding serializable enums reduced.

        2. If typedExpressionIRl is not equal to typedExpressionIRl_cast:

        3. If typedExpressionIRl is equal to typedExpressionIRl_cast:

          1. Let typedExpressionIRr_cast be typedExpressionIRr with surrounding serializable enums reduced.

          2. Check that typedExpressionIRr is not equal to typedExpressionIRr_cast.

          3. Return typedExpressionIRl and typedExpressionIRr_cast implicitly cast to equal types.

  5. Otherwise:

    1. Return ·.

17.4. Performing casts

Cast operations are evaluated with:

Click to view the specification source
dec $cast_op(typeIR, value) : value
Click to view the specification source
def $cast_op(typeIR, boolValue) = $cast_bool(typeIR_unroll, boolValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, integerValue) = $cast_int(typeIR_unroll, integerValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, errorValue) = $cast_error(typeIR_unroll, errorValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, listValue) = $cast_list(typeIR_unroll, listValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, headerStackValue) = $cast_header_stack(typeIR_unroll, headerStackValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, structValue) = $cast_struct(typeIR_unroll, structValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, headerValue) = $cast_header(typeIR_unroll, headerValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, enumValue) = $cast_enum(typeIR_unroll, enumValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, sequenceValue) = $cast_sequence(typeIR_unroll, sequenceValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, recordValue) = $cast_record(typeIR_unroll, recordValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, DEFAULT) = $cast_default(typeIR_unroll, DEFAULT)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, invalidHeaderValue) = $cast_invalid_header(typeIR_unroll)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)

def $cast_op(typeIR, setValue) = $cast_set(typeIR_unroll, setValue)
 -- if typeIR_unroll = $unroll_typeIR(typeIR)
  1. If let boolValue be value:

  2. Else if let integerValue be value:

  3. Else if let errorValue be value:

  4. Else if let listValue be value:

  5. Else if let headerStackValue be value:

  6. Else if let structValue be value:

  7. Else if let headerValue be value:

  8. Else if let enumValue be value:

  9. Else if let sequenceValue be value:

  10. Else if let recordValue be value:

  11. Else if let defaultValue be value:

  12. Else if value has type invalidHeaderValue:

  13. Else if let setValue be value:

From a bool value
Click to view the specification source
def $cast_bool(BOOL, `B b) = `B b

def $cast_bool(BIT `<w>, `B true) = w W 1

def $cast_bool(BIT `<w>, `B false) = w W 0

def $cast_bool(TYPE _ typeIR, boolValue) = $cast_bool(typeIR, boolValue)

def $cast_bool(SET `<typeIR>, boolValue) = SET `{$cast_bool(typeIR, boolValue)}
  1. Let `B b be boolValue.

  2. If let boolTypeIR be typeIR:

    1. Return `B b.

  3. If let BIT < w > be typeIR:

    1. If boolValue is equal to `B true:

      1. Return w W 1.

    2. Else if boolValue is equal to `B false:

      1. Return w W 0.

  4. Else if let TYPE _ typeIR' be typeIR:

  5. Else if let SET < typeIR' > be typeIR:

    1. Let value be boolValue casted to type typeIR'.

    2. Return SET { value }.

From an integer value
Click to view the specification source
def $cast_int(BOOL, D i) = `B (i =/= 0)

def $cast_int(BOOL, w W i) = `B (i =/= 0)

def $cast_int(INT, D i) = D i

def $cast_int(INT, _ W i) = D i

def $cast_int(INT, w S i) = D $bitstr_to_int(w, i)

def $cast_int(BIT `<w_to>, D i) = w_to W i_cast
 -- if i_cast = $int_to_bitstr(w_to, i)

def $cast_int(BIT `<w_to>, _ W i) = w_to W i_cast
 -- if i_cast = $int_to_bitstr(w_to, i)

def $cast_int(BIT `<w_to>, w_from S i) = w_to W i_cast
 -- if i_from = $bitstr_to_int(w_from, i)
 -- if i_cast = $int_to_bitstr(w_to, i_from)

def $cast_int(INT `<w_to>, D i) = w_to S i_cast
 -- if i_cast = $int_to_bitstr(w_to, i)

def $cast_int(INT `<w_to>, _ W i) = w_to S i_cast
 -- if i_cast = $int_to_bitstr(w_to, i)

def $cast_int(INT `<w_to>, w_from S i) = w_to S i_cast
 -- if i_from = $bitstr_to_int(w_from, i)
 -- if i_cast = $int_to_bitstr(w_to, i_from)

def $cast_int(VARBIT `<w_max>, w_max . w V i) = w_max . w V i

def $cast_int(TYPE _ typeIR, D i) = $cast_op(typeIR, D i)

def $cast_int(TYPE _ typeIR, w W i) = $cast_op(typeIR, w W i)

def $cast_int(TYPE _ typeIR, w S i) = $cast_op(typeIR, w S i)

def $cast_int(enumTypeIR, w W i) = $cast_to_enum(enumTypeIR, w W i)

def $cast_int(enumTypeIR, w S i) = $cast_to_enum(enumTypeIR, w S i)

def $cast_int(SET `<typeIR>, D i) = SET `{$cast_op(typeIR, D i)}

def $cast_int(SET `<typeIR>, w W i) = SET `{$cast_op(typeIR, w W i)}

def $cast_int(SET `<typeIR>, w S i) = SET `{$cast_op(typeIR, w S i)}
  1. If let boolTypeIR be typeIR:

    1. Check that integerValue has type integerLiteral.

    2. Let integerLiteral be integerValue.

    3. If let D i be integerLiteral:

      1. Return `B i =/= 0.

    4. Else if let w W i be integerLiteral:

      1. Return `B i =/= 0.

  2. Else if let intTypeIR be typeIR:

    1. Check that integerValue has type integerLiteral.

    2. Let integerLiteral be integerValue.

    3. If let D i be integerLiteral:

      1. Return D i.

    4. Else if let _ W i be integerLiteral:

      1. Return D i.

    5. Else:

      1. Let w S i be integerLiteral.

      2. Let int be the two’s complement representation of bitstring i of width w.

      3. Return D int.

  3. Else if let BIT < wto > be typeIR:

    1. Check that integerValue has type integerLiteral.

    2. Let integerLiteral be integerValue.

    3. If let D i be integerLiteral:

      1. Let icast be the bitstring of width wto representing the integer i.

      2. Return wto W icast.

    4. Else if let _ W i be integerLiteral:

      1. Let icast be the bitstring of width wto representing the integer i.

      2. Return wto W icast.

    5. Else:

      1. Let wfrom S i be integerLiteral.

      2. Let ifrom be the two’s complement representation of bitstring i of width wfrom.

      3. Let icast be the bitstring of width wto representing the integer ifrom.

      4. Return wto W icast.

  4. Else if let INT < wto > be typeIR:

    1. Check that integerValue has type integerLiteral.

    2. Let integerLiteral be integerValue.

    3. If let D i be integerLiteral:

      1. Let icast be the bitstring of width wto representing the integer i.

      2. Return wto S icast.

    4. Else if let _ W i be integerLiteral:

      1. Let icast be the bitstring of width wto representing the integer i.

      2. Return wto S icast.

    5. Else:

      1. Let wfrom S i be integerLiteral.

      2. Let ifrom be the two’s complement representation of bitstring i of width wfrom.

      3. Let icast be the bitstring of width wto representing the integer ifrom.

      4. Return wto S icast.

  5. Else if let VARBIT < wmax > be typeIR:

    1. Check that integerValue matches pattern % . % V %.

    2. Let wmax' . w V i be integerValue.

    3. Check that wmax is equal to wmax'.

    4. Return wmax . w V i.

  6. Else if let TYPE _ typeIR' be typeIR:

    1. Check that integerValue has type integerLiteral.

    2. Let integerLiteral be integerValue.

    3. If let D i be integerLiteral:

    4. Else if let w W i be integerLiteral:

    5. Else:

      1. Let w S i be integerLiteral.

      2. Return w S i casted to type typeIR'.

  7. Else if let enumTypeIR be typeIR:

    1. Check that integerValue has type integerLiteral.

    2. Let integerLiteral be integerValue.

    3. If let w W i be integerLiteral:

    4. Else if let w S i be integerLiteral:

  8. Else if let SET < typeIR' > be typeIR:

    1. Check that integerValue has type integerLiteral.

    2. Let integerLiteral be integerValue.

    3. If let D i be integerLiteral:

      1. Let value be D i casted to type typeIR'.

      2. Return SET { value }.

    4. Else if let w W i be integerLiteral:

      1. Let value be w W i casted to type typeIR'.

      2. Return SET { value }.

    5. Else:

      1. Let w S i be integerLiteral.

      2. Let value be w S i casted to type typeIR'.

      3. Return SET { value }.

From an error value
Click to view the specification source
def $cast_error(ERROR, ERROR . nameIR) = ERROR . nameIR

def $cast_error(SET `<typeIR>, errorValue) = SET `{$cast_op(typeIR, errorValue)}
  1. Let ERROR . nameIR be errorValue.

  2. If let errorTypeIR be typeIR:

    1. Return ERROR . nameIR.

  3. If let SET < typeIR' > be typeIR:

    1. Let value be errorValue casted to type typeIR'.

    2. Return SET { value }.

From a list value
Click to view the specification source
def $cast_list(LIST `<typeIR>, LIST `[value*]) = LIST `[$cast_op(typeIR, value)*]
  1. Check that typeIR has type listTypeIR.

  2. Let LIST < typeIR' > be typeIR.

  3. Let value'* be the list obtained by repeating:

    for each value in value*

  4. Return LIST [ value'* ].

From a header stack value
Click to view the specification source
def $cast_header_stack(typeIR `[n_size], HEADER_STACK `[value* `(n_idx ; n_size)]) = HEADER_STACK `[value* `(n_idx ; n_size)]
  1. Check that typeIR has type headerStackTypeIR.

  2. Let typeIR' [ nsize' ] be typeIR.

  3. Check that nsize' is equal to nsize'.

  4. Return HEADER_STACK [ value* ( nidx ; nsize' ) ].

From a struct value
Click to view the specification source
def $cast_struct(STRUCT typeId `<_> `{_}, STRUCT typeId `{(value_field nameIR_field ;)*}) = STRUCT typeId `{(value_field nameIR_field ;)*}
  1. Check that typeIR has type structTypeIR.

  2. Let STRUCT typeId' < _* > { _* } be typeIR.

  3. Check that typeId' is equal to typeId'.

  4. Return STRUCT typeId' { ( valuefield nameIRfield ; )* }.

From a header value
Click to view the specification source
def $cast_header(HEADER typeId `<_> `{_}, HEADER typeId `{b ; (value_field nameIR_field ;)*}) = HEADER typeId `{b ; (value_field nameIR_field ;)*}
  1. Check that typeIR has type headerTypeIR.

  2. Let HEADER typeId' < _* > { _* } be typeIR.

  3. Check that typeId' is equal to typeId'.

  4. Return HEADER typeId' { b ; ( valuefield nameIRfield ; )* }.

From an enum value
Click to view the specification source
def $cast_enum(ENUM typeId `{_}, typeId . nameIR) = typeId . nameIR

def $cast_enum(typeIR, _ . _ . value) = $cast_op(typeIR, value)
  1. If let ENUM typeId { _* } be typeIR:

    1. Check that enumValue matches pattern % . %.

    2. Let typeId' . nameIR be enumValue.

    3. Check that typeId is equal to typeId'.

    4. Return typeId . nameIR.

  2. If let _ . _ . value be enumValue:

From a default value
Click to view the specification source
def $cast_default(typeIR, defaultValue) = $default(typeIR)
From an invalid header value
Click to view the specification source
def $cast_invalid_header(headerTypeIR) = $default(headerTypeIR)

def $cast_invalid_header(headerUnionTypeIR) = $default(headerUnionTypeIR)
  1. If let headerTypeIR be typeIR:

  2. Else if let headerUnionTypeIR be typeIR:

From a sequence value
Click to view the specification source
def $cast_sequence(LIST `<typeIR>, SEQ `(value*)) = LIST `[$cast_op(typeIR, value)*]

def $cast_sequence(TUPLE `<typeIR*>, SEQ `(value*)) = TUPLE `($cast_op(typeIR, value)*)

def $cast_sequence(typeIR `[n_size], SEQ `(value*)) = HEADER_STACK `[value_cast* `(n_idx ; n_size)]
 -- (if (value_cast = $cast_op(typeIR, value)))*
 -- if n_idx = |value*|

def $cast_sequence(STRUCT typeId `<_> `{(_ typeIR_field nameIR_field ;)*}, SEQ `(value*)) = STRUCT typeId `{(value_cast nameIR_field ;)*}
 -- (if (value_cast = $cast_op(typeIR_field, value)))*

def $cast_sequence(HEADER typeId `<_> `{(_ typeIR_field nameIR_field ;)*}, SEQ `(value*)) = HEADER typeId `{true ; (value_cast nameIR_field ;)*}
 -- (if (value_cast = $cast_op(typeIR_field, value)))*
  1. If let LIST < typeIR' > be typeIR:

    1. Check that sequenceValue matches pattern SEQ ( % ).

    2. Let SEQ ( value* ) be sequenceValue.

    3. Let value'* be the list obtained by repeating:

      for each value in value*

    4. Return LIST [ value'* ].

  2. Else if let TUPLE < typeIR'* > be typeIR:

    1. Check that sequenceValue matches pattern SEQ ( % ).

    2. Let SEQ ( value* ) be sequenceValue.

    3. Let value'* be the list and value'** be the list obtained by repeating:

      for each typeIR' in typeIR'* and value in value*

    4. Return TUPLE ( value'* ).

  3. Else if let typeIR' [ nsize ] be typeIR:

    1. Check that sequenceValue matches pattern SEQ ( % ).

    2. Let SEQ ( value* ) be sequenceValue.

    3. Let valuecast* be the list obtained by repeating:

      for each value in value*

    4. Let nidx be the length of value*.

    5. Return HEADER_STACK [ valuecast* ( nidx ; nsize ) ].

  4. Else if let STRUCT typeId < _* > { ( _ typeIRfield nameIRfield ; )* } be typeIR:

    1. Check that sequenceValue matches pattern SEQ ( % ).

    2. Let SEQ ( value* ) be sequenceValue.

    3. Let valuecast* be the list obtained by repeating:

      for each typeIRfield in typeIRfield* and value in value*

    4. Return STRUCT typeId { ( valuecast nameIRfield ; )* }.

  5. Else if let HEADER typeId < _* > { ( _ typeIRfield nameIRfield ; )* } be typeIR:

    1. Check that sequenceValue matches pattern SEQ ( % ).

    2. Let SEQ ( value* ) be sequenceValue.

    3. Let valuecast* be the list obtained by repeating:

      for each typeIRfield in typeIRfield* and value in value*

    4. Return HEADER typeId { true ; ( valuecast nameIRfield ; )* }.

From a record value
Click to view the specification source
def $cast_record(STRUCT typeId `<_> `{(_ typeIR_t_field id_t_field ;)*}, RECORD `{(value_field nameIR_field ;)*}) = STRUCT typeId `{(value_field_cast nameIR_field ;)*}
 -- (if (value_field' = $find_map<id, value>(`{(nameIR_field : value_field)*}, id_t_field)))*
 -- (if (value_field_cast = $cast_op(typeIR_t_field, value_field')))*

def $cast_record(HEADER typeId `<_> `{(_ typeIR_t_field id_t_field ;)*}, RECORD `{(value_field nameIR_field ;)*}) = HEADER typeId `{true ; (value_field_cast nameIR_field ;)*}
 -- (if (value_field' = $find_map<id, value>(`{(nameIR_field : value_field)*}, id_t_field)))*
 -- (if (value_field_cast = $cast_op(typeIR_t_field, value_field')))*
  1. If let STRUCT typeId < _* > { ( _ typeIRt_field idt_field ; )* } be typeIR:

    1. Check that recordValue matches pattern RECORD { % }.

    2. Let RECORD { ( valuefield nameIRfield ; )* } be recordValue.

    3. Let value?* be the list obtained by repeating:

      for each idt_field in idt_field*

    4. Check that value? is defined, for all value? in value?*.

    5. Let valuefield'* be the list obtained by repeating:

      • Let valuefield' be value?.

      for each value? in value?*

    6. Let valuefield_cast* be the list obtained by repeating:

      for each typeIRt_field in typeIRt_field* and valuefield' in valuefield'*

    7. Return STRUCT typeId { ( valuefield_cast nameIRfield ; )* }.

  2. Else if let HEADER typeId < _* > { ( _ typeIRt_field idt_field ; )* } be typeIR:

    1. Check that recordValue matches pattern RECORD { % }.

    2. Let RECORD { ( valuefield nameIRfield ; )* } be recordValue.

    3. Let value?* be the list obtained by repeating:

      for each idt_field in idt_field*

    4. Check that value? is defined, for all value? in value?*.

    5. Let valuefield'* be the list obtained by repeating:

      • Let valuefield' be value?.

      for each value? in value?*

    6. Let valuefield_cast* be the list obtained by repeating:

      for each typeIRt_field in typeIRt_field* and valuefield' in valuefield'*

    7. Return HEADER typeId { true ; ( valuefield_cast nameIRfield ; )* }.

From a set value
Click to view the specification source
def $cast_set(SET `<typeIR>, SET `{value}) = SET `{$cast_op(typeIR, value)}

def $cast_set(SET `<typeIR>, SET `{value_b &&& value_m}) = SET `{value_b_cast &&& value_m_cast}
 -- if value_b_cast = $cast_op(typeIR, value_b)
 -- if value_m_cast = $cast_op(typeIR, value_m)

def $cast_set(SET `<typeIR>, SET `{value_l .. value_u}) = SET `{value_l_cast .. value_u_cast}
 -- if value_l_cast = $cast_op(typeIR, value_l)
 -- if value_u_cast = $cast_op(typeIR, value_u)
  1. Check that typeIR has type setTypeIR.

  2. Let SET < typeIR' > be typeIR.

  3. If let SET { value } be setValue:

    1. Let value' be value casted to type typeIR'.

    2. Return SET { value' }.

  4. Else if let SET { valueb &&& valuem } be setValue:

    1. Let valueb_cast be valueb casted to type typeIR'.

    2. Let valuem_cast be valuem casted to type typeIR'.

    3. Return SET { valueb_cast &&& valuem_cast }.

  5. Else if let SET { valuel .. valueu } be setValue:

    1. Let valuel_cast be valuel casted to type typeIR'.

    2. Let valueu_cast be valueu casted to type typeIR'.

    3. Return SET { valuel_cast .. valueu_cast }.

18. Calls

Calls can be made in several different contexts:

  • From call expressions (Section 14.16), to invoke a callable or a constructor.

  • From call statements (Section 13.4), to invoke a callable.

  • From a direct type invocation (Section 13.5), which is a syntactic sugar for invoking a constructor and then immediately calling an apply method on the resulting instance.

  • From an instantiation declaration (Section 11.4), to invoke a constructor.

A callable invocation can optionally specify for each argument the corresponding parameter name. It is illegal to use names only for some arguments: either all or no arguments must specify the parameter name. Calalble arguments are evaluated in the order they appear, left to right, before the function invocation takes place.

extern void f(in bit<32> x, out bit<16> y);
bit<32> xa = 0;
bit<16> ya;
f(xa, ya);  // match arguments by position
f(x = xa, y = ya);  // match arguments by name
f(y = ya, x = xa);  // match arguments by name in any order
//f(x = xa);  -- error: enough arguments
//f(x = xa, x = ya);  -- error: argument specified twice
//f(x = xa, ya);  -- error: some arguments specified by name
//f(z = xa, w = yz);  -- error: no parameter named z or w
//f(x = xa, y = 0);  -- error: y must be a left-value

The calling convention is copy-in/copy-out (Section 6.5). For generic callables and constructors the type arguments can be explicitly specified in the call. The compiler only inserts implicit casts for direction in or directionless arguments to methods, functions, or constructors as described in [sec-casts]. The types for all other arguments must match the parameter types exactly.

The result returned by a call is discarded when the function call is used as a statement.

The "don’t care" identifier (_) can only be used for an out function/method argument, when the value of returned in that argument is ignored by subsequent computations. When used in generic callables, the compiler may reject the program if it is unable to infer a type for the don’t care argument.

This section describes the semantics of calls in detail. In particular, it explains how the call target is found (also with overload resolution), how the call convention is checked, and how the call is evaluated at runtime.

18.1. Call targets

Calls are composed of three components: the call target, type arguments, and arguments. Call target identifies what is being called. It may be a callable (actions, functions, and methods) or a constructor.

When calls are made from an expression, the call target is as follows:

callExpression
   : callTarget `( argumentList )
   | callableTarget `< realTypeArgumentList > `( argumentList )
   ;

callTarget
   : callableTarget
   | constructorTarget
   ;

callableTarget = expression

constructorTarget = namedType

When calls are made from a statement, the call target is as follows:

lvalue
   : referenceExpression
   | lvalue . member
   | lvalue `[ expression ]
   | lvalue `[ expression : expression ]
   | `( lvalue )
   ;

callStatement
   : lvalue `( argumentList ) ;
   | lvalue `< typeArgumentList > `( argumentList ) ;
   ;

directApplicationStatement
   : namedType . APPLY `( argumentList ) ;
   ;

And when calls are made from instantiation declarations, the call target is as follows:

instantiation
   : annotationList type `( argumentList ) name ;
   | annotationList type `( argumentList ) name objectInitializer ;
   ;

After type checking, call targets are represented as follows:

callableTargetIR
   : referenceExpressionIR
   | typedExpressionIR . nameIR
   | TYPE prefixedNameIR . nameIR
   | `( callableTargetIR )
   ;

constructorTargetIR
   : prefixedNameIR `< typeArgumentListIR >
   ;

Thus, calls are represented as:

callExpressionIR
   : constructorTargetIR `( argumentListIR )
   | callableTargetIR `< typeArgumentListIR > `( argumentListIR )
   ;

callStatementIR
   : callableTargetIR `< typeArgumentListIR > `( argumentListIR ) ;
   ;

directApplicationStatementIR
   : constructorTargetIR . APPLY `( argumentListIR ) ;
   ;

instantiationIR
   : annotationList typeIR constructorTargetIR `( argumentListIR ) nameIR
       objectInitializerOptIR ;
   ;

The following relation is used to check callable targets:

Click to view the specification source
relation CallableTarget_ok: cursor typingContext |- callableTarget : callableTargetIR
Click to view the specification source
rulegroup CallableTarget_ok:
  rule CallableTarget_ok/prefixedNonTypeName:
  p TC |- prefixedNonTypeName : prefixedNameIR
 -- if prefixedNameIR = $prefixedNonTypeName(prefixedNonTypeName)
  rule CallableTarget_ok/this:
  p TC |- THIS : (` "this")
  rule CallableTarget_ok/memberAccessExpression-prefixedTypeName:
  p TC |- prefixedTypeName . member : TYPE prefixedNameIR . nameIR
 -- if prefixedNameIR = $prefixedTypeName(prefixedTypeName)
 -- if nameIR = $name(member)
  rule CallableTarget_ok/memberAccessExpression-expression:
  p TC |- expression_base . member : typedExpressionIR_base . nameIR
 -- if nameIR = $name(member)
 -- Expr_ok: p TC |- expression_base : typedExpressionIR_base
  rule CallableTarget_ok/parenthesizedExpression:
  p TC |- `(expression) : `(callableTargetIR)
 -- CallableTarget_ok: p TC |- expression : callableTargetIR
  1. If let prefixedNonTypeName be callableTarget:

    1. Let prefixedNameIR be the prefixed name of prefixedNonTypeName.

    2. Result in typed callable target prefixedNameIR.

  2. Else if let memberAccessBase . member be callableTarget:

    1. If let prefixedTypeName be memberAccessBase:

      1. Let prefixedNameIR be the prefixed name of prefixedTypeName.

      2. Let nameIR be the name of member.

      3. Result in typed callable target TYPE prefixedNameIR . nameIR.

    2. Else:

      1. Let expressionbase be memberAccessBase.

      2. Let nameIR be the name of member.

      3. Let typedExpressionIRbase be

      4. Result in typed callable target typedExpressionIRbase . nameIR.

  3. Else if let ( expression ) be callableTarget:

    1. Let typed callable target callableTargetIR be

    2. Result in typed callable target ( callableTargetIR ).

  4. If callableTarget is equal to THIS:

    1. Result in typed callable target "this".

When a l-value is used as a callable target, the following relation is used to check it:

Click to view the specification source
relation CallableTarget_lvalue_ok: cursor typingContext |- lvalue : callableTargetIR
Click to view the specification source
rulegroup CallableTarget_lvalue_ok:
  rule CallableTarget_lvalue_ok:
  p TC |- lvalue : callableTargetIR
 -- if expression = $lvalue_as_expression(lvalue)
 -- CallableTarget_ok: p TC |- expression : callableTargetIR
  1. Let expression be the expression corresponding to lvalue.

  2. Let typed callable target callableTargetIR be

  3. Result in typed callable target callableTargetIR.

18.2. Overload resolution

As explained in Section 6.6, functions, methods, and constructors can be overloaded. Overload should be resolved at compile time based on the number of arguments or the names of the arguments. Additionally, arguments may be omitted when the corresponding parameters have default values or are declared as optional.

The following algorithm is used to resolve overloads and omitted arguments:

Click to view the specification source
dec $find_overloaded<V>(map<callTargetId, V>, callTargetKey, $get_parameterListIR(V) : parameterListIR) : callResolution<V>?

The result of this algorithm is a matched overload item with the default and optional parameter names, or an empty result if no match is found.

callResolution<V>
   : callableId : V # nameIR* # nameIR*
   ;

The algorithm takes as input the key for overload resolution, which is the call target name and the argument names (if specified).

callTargetKey
   : nameIR `( id?* )
   ;

Based on whether the arguments are positional or named, the key is refined to either:

namedCallTargetKey
   : nameIR `( id* )
   ;

unnamedCallTargetKey
   : nameIR `( nat )
   ;

For each item in the overloaded set, the key is compared to determine if it is a match:

callTargetMatch
   : MATCH id* id*
   | NOMATCH
   ;

The algorithm is as follows:

Click to view the specification source
def $find_overloaded<V>(`{(callableId : V)*}, nameIR_f `(id_arg?*), $get_parameterListIR) = eps
 -- if |(id_arg?)*| > 0
 -- (if (id_arg_inner = id_arg?))*
 -- if eps = $find_overloadeds_named<V>(`{(callableId : V)*}, nameIR_f `(id_arg_inner*), $get_parameterListIR)

def $find_overloaded<V>(`{(callableId : V)*}, nameIR_f `(id_arg?*), $get_parameterListIR) = callableId_found : V_found # id_default* # id_optional*
 -- if |(id_arg?)*| > 0
 -- (if (id_arg_inner = id_arg?))*
 -- if callableId_found : V_found # id_default* # id_optional* = $find_overloadeds_named<V>(`{(callableId : V)*}, nameIR_f `(id_arg_inner*), $get_parameterListIR)

def $find_overloaded<V>(`{(callableId : V)*}, nameIR_f `(id_arg?*), $get_parameterListIR) = eps
 -- (if (id_arg? = eps))*
 -- if eps = $find_overloadeds_unnamed<V>(`{(callableId : V)*}, nameIR_f `(|id_arg?*|), $get_parameterListIR)

def $find_overloaded<V>(`{(callableId : V)*}, nameIR_f `(id_arg?*), $get_parameterListIR) = callableId_found : V_found # id_omitted* # id_optional*
 -- (if (id_arg? = eps))*
 -- if callableId_found : V_found # id_omitted* # id_optional* = $find_overloadeds_unnamed<V>(`{(callableId : V)*}, nameIR_f `(|id_arg?*|), $get_parameterListIR)
  1. If the length of idarg?* is greater than 0:

    1. Check that idarg? is defined, for all idarg? in idarg?*.

    2. Let idarg_inner* be the list obtained by repeating:

      • Let idarg_inner be idarg?.

      for each idarg? in idarg?*

    3. If · is equal to finding all items in { ( callableId : V )* } matching named key nameIRf ( idarg_inner* ) using parameter getter $get_parameterListIR:

      1. Return ·.

    4. Let callResolution<V>* be finding all items in { ( callableId : V )* } matching named key nameIRf ( idarg_inner* ) using parameter getter $get_parameterListIR.

    5. If let callableIdfound : Vfound # iddefault* # idoptional* be callResolution<V>*:

      1. Return callableIdfound : Vfound # iddefault* # idoptional*.

  2. If idarg? is none, for all idarg? in idarg?*:

    1. If · is equal to finding all items in { ( callableId : V )* } matching unnamed key nameIRf ( the length of idarg?* ) using parameter getter $get_parameterListIR:

      1. Return ·.

    2. Let callResolution<V>* be finding all items in { ( callableId : V )* } matching unnamed key nameIRf ( the length of idarg?* ) using parameter getter $get_parameterListIR.

    3. If let callableIdfound : Vfound # idomitted* # idoptional* be callResolution<V>*:

      1. Return callableIdfound : Vfound # idomitted* # idoptional*.

18.2.1. Positional arguments

The following algorithm is used when arguments are positional:

Click to view the specification source
dec $find_overloadeds_unnamed<V>(map<callableId, V>, unnamedCallTargetKey, $get_parameterListIR(V) : parameterListIR) : callResolution<V>*
Click to view the specification source
def $find_overloadeds_unnamed<V>(`{eps}, nameIR_f `(nat), $get_parameterListIR) = eps

def $find_overloadeds_unnamed<V>(`{(callTargetId_h : V_h) :: (callTargetId_t : V_t)*}, nameIR_f `(n_arg), $get_parameterListIR) = $find_overloadeds_unnamed<V>(`{(callTargetId_t : V_t)*}, nameIR_f `(n_arg), $get_parameterListIR)
 -- if NOMATCH = $match_overloaded_unnamed<V>((callTargetId_h : V_h), nameIR_f `(n_arg), $get_parameterListIR)

def $find_overloadeds_unnamed<V>(`{(callTargetId_h : V_h) :: (callTargetId_t : V_t)*}, nameIR_f `(n_arg), $get_parameterListIR) = (callTargetId_h : V_h # id_default* # id_optional*) :: $find_overloadeds_unnamed<V>(`{(callTargetId_t : V_t)*}, nameIR_f `(n_arg), $get_parameterListIR)
 -- if MATCH id_default* id_optional* = $match_overloaded_unnamed<V>((callTargetId_h : V_h), nameIR_f `(n_arg), $get_parameterListIR)
  1. If set<pair<callableId, V>> is equal to { · }:

    1. Return ·.

  2. Let { pair<callableId, V>* } be set<pair<callableId, V>>.

  3. If let callTargetIdh : Vh :: ( callTargetIdt : Vt )* be pair<callableId, V>*:

18.2.2. Named arguments

The following algorithm is used when arguments are named:

Click to view the specification source
dec $find_overloadeds_named<V>(map<callableId, V>, namedCallTargetKey, $get_parameterListIR(V) : parameterListIR) : callResolution<V>*
Click to view the specification source
def $find_overloadeds_named<V>(`{eps}, nameIR_f `(id_arg*), $get_parameterListIR) = eps

def $find_overloadeds_named<V>(`{(callTargetId_h : V_h) :: (callTargetId_t : V_t)*}, nameIR_f `(id_arg*), $get_parameterListIR) = $find_overloadeds_named<V>(`{(callTargetId_t : V_t)*}, nameIR_f `(id_arg*), $get_parameterListIR)
 -- if NOMATCH = $match_overloaded_named<V>((callTargetId_h : V_h), nameIR_f `(id_arg*), $get_parameterListIR)

def $find_overloadeds_named<V>(`{(callTargetId_h : V_h) :: (callTargetId_t : V_t)*}, nameIR_f `(id_arg*), $get_parameterListIR) = (callTargetId_h : V_h # id_default* # id_optional*) :: $find_overloadeds_named<V>(`{(callTargetId_t : V_t)*}, nameIR_f `(id_arg*), $get_parameterListIR)
 -- if MATCH id_default* id_optional* = $match_overloaded_named<V>((callTargetId_h : V_h), nameIR_f `(id_arg*), $get_parameterListIR)
  1. If set<pair<callableId, V>> is equal to { · }:

    1. Return ·.

  2. Let { pair<callableId, V>* } be set<pair<callableId, V>>.

  3. If let callTargetIdh : Vh :: ( callTargetIdt : Vt )* be pair<callableId, V>*:

18.3. Callee resolution

Given a call target, type arguments, and arguments, the callee should be resolved. This is done both during type checking and runtime evaluation.

18.3.1. Resolving constructors

When type checking, constructors are resolved by:

Click to view the specification source
relation ConstructorType_ok: cursor typingContext |- constructorTargetIR `(argumentIR*) : constructorTypeIR `<# typeId*> `(# id* # id*)
Click to view the specification source
rulegroup ConstructorType_ok:
  rule ConstructorType_ok/non-aliased-none-type:
  p TC |- (prefixedNameIR `<typeArgumentIR*>) `(argumentIR*) : constructorTypeIR `<# typeId_impl*> `(# id_default* # id_optional*)
 -- if eps = $find_typeDef_t(p, TC, prefixedNameIR)
 -- if callableId : constructorTypeDefIR # id_default* # id_optional* = $find_constructorDef_overloaded_t(TC, prefixedNameIR, argumentIR*)
 -- if (constructorTypeIR, typeId_impl*) = $specialize_constructorTypeDefIR(constructorTypeDefIR, typeArgumentIR*)
 -- if B = $union_set<typeId>($bound(p, TC), `{typeId_impl*})
 -- ConstructorType_wf: B |- constructorTypeIR
  rule ConstructorType_ok/non-aliased-some-type:
  p TC |- (prefixedNameIR `<typeArgumentIR*>) `(argumentIR*) : constructorTypeIR `<# typeId_impl*> `(# id_default* # id_optional*)
 -- if typeDefIR = $find_typeDef_t(p, TC, prefixedNameIR)
 -- if ~(typeDefIR <: typedefTypeIR)
 -- if callableId : constructorTypeDefIR # id_default* # id_optional* = $find_constructorDef_overloaded_t(TC, prefixedNameIR, argumentIR*)
 -- if (constructorTypeIR, typeId_impl*) = $specialize_constructorTypeDefIR(constructorTypeDefIR, typeArgumentIR*)
 -- if B = $union_set<typeId>($bound(p, TC), `{typeId_impl*})
 -- ConstructorType_wf: B |- constructorTypeIR
  rule ConstructorType_ok/aliased:
  p TC |- (prefixedNameIR `<eps>) `(argumentIR*) : constructorTypeIR `<# typeId_impl*> `(# id_default* # id_optional*)
 -- if TYPEDEF nameIR_alias typeIR_alias = $find_typeDef_t(p, TC, prefixedNameIR)
 -- if (nameIR, typeArgumentIR*) = $resolve_type_alias(typeIR_alias)
 -- if callableId : constructorTypeDefIR # id_default* # id_optional* = $find_constructorDef_overloaded_t(TC, ` nameIR, argumentIR*)
 -- if (constructorTypeIR, typeId_impl*) = $specialize_constructorTypeDefIR(constructorTypeDefIR, typeArgumentIR*)
 -- if B = $union_set<typeId>($bound(p, TC), `{typeId_impl*})
 -- ConstructorType_wf: B |- constructorTypeIR
  1. If · is equal to the type definition of prefixedNameIR from the p layer of TC:

    1. Let callableId : constructorTypeDefIR # iddefault* # idoptional* be ! the overloaded constructor definition of prefixedNameIR ( argumentIR* ) in TC.

    2. Let ( constructorTypeIR, typeIdimpl* ) be constructorTypeDefIR specialized by typeArgumentIR*.

    3. Let bound be bound type variables from the p layer of TC.

    4. Let B be the union of the sets bound and { typeIdimpl* }.

    5. Check that constructorTypeIR is a well-formed constructor type, with bound type variables B.

    6. Result in constructorTypeIR with fresh type variables typeIdimpl*, defaults iddefault* and optionals idoptional*.

  2. Let typeDefIR? be the type definition of prefixedNameIR from the p layer of TC.

  3. If let typeDefIR' be typeDefIR?:

    1. Check that typeDefIR' does not have type typedefTypeIR.

    2. Let callableId : constructorTypeDefIR # iddefault* # idoptional* be ! the overloaded constructor definition of prefixedNameIR ( argumentIR* ) in TC.

    3. Let ( constructorTypeIR, typeIdimpl* ) be constructorTypeDefIR specialized by typeArgumentIR*.

    4. Let bound be bound type variables from the p layer of TC.

    5. Let B be the union of the sets bound and { typeIdimpl* }.

    6. Check that constructorTypeIR is a well-formed constructor type, with bound type variables B.

    7. Result in constructorTypeIR with fresh type variables typeIdimpl*, defaults iddefault* and optionals idoptional*.

  4. If typeArgumentIR* is equal to ·:

    1. Let typeDefIR' be ! the type definition of prefixedNameIR from the p layer of TC.

    2. Check that typeDefIR' has type typedefTypeIR.

    3. Let TYPEDEF nameIRalias typeIRalias be typeDefIR'.

    4. Let ( nameIR, typeArgumentIR'* ) be type alias in typeIRalias resolved to aliased name and type arguments.

    5. Let callableId : constructorTypeDefIR # iddefault* # idoptional* be ! the overloaded constructor definition of nameIR ( argumentIR* ) in TC.

    6. Let ( constructorTypeIR, typeIdimpl* ) be constructorTypeDefIR specialized by typeArgumentIR'*.

    7. Let bound be bound type variables from the p layer of TC.

    8. Let B be the union of the sets bound and { typeIdimpl* }.

    9. Check that constructorTypeIR is a well-formed constructor type, with bound type variables B.

    10. Result in constructorTypeIR with fresh type variables typeIdimpl*, defaults iddefault* and optionals idoptional*.

During compile-time evaluation, constructors are resolved by:

Click to view the specification source
relation Constructor_inst: cursor instContext |- prefixedNameIR `<typeArgumentListIR> `(argumentListIR) : constructorDef `<typeArgumentListIR> `(# id* # id*)
Click to view the specification source
rulegroup Constructor_inst:
  rule Constructor_inst/non-aliased-none-type:
  p IC |- prefixedNameIR `<typeArgumentIR*> `(argumentIR*) : constructorDef `<typeArgumentIR*> `(# id_default* # id_optional*)
 -- if eps = $find_typeDef_i(p, IC, prefixedNameIR)
 -- if _ : constructorDef # id_default* # id_optional* = $find_constructorDef_i(IC, prefixedNameIR, argumentIR*)
  rule Constructor_inst/non-aliased-some-type:
  p IC |- prefixedNameIR `<typeArgumentIR*> `(argumentIR*) : constructorDef `<typeArgumentIR*> `(# id_default* # id_optional*)
 -- if typeDefIR = $find_typeDef_i(p, IC, prefixedNameIR)
 -- if ~(typeDefIR <: typedefTypeIR)
 -- if _ : constructorDef # id_default* # id_optional* = $find_constructorDef_i(IC, prefixedNameIR, argumentIR*)
  rule Constructor_inst/aliased:
  p IC |- prefixedNameIR `<eps> `(argumentIR*) : constructorDef `<typeArgumentIR*> `(# id_default* # id_optional*)
 -- if TYPEDEF nameIR_alias typeIR_alias = $find_typeDef_i(p, IC, prefixedNameIR)
 -- if (nameIR, typeArgumentIR*) = $resolve_type_alias(typeIR_alias)
 -- if _ : constructorDef # id_default* # id_optional* = $find_constructorDef_i(IC, ` nameIR, argumentIR*)
  1. If · is equal to the type definition of prefixedNameIR from the p layer of IC:

    1. Let _ : constructorDef # iddefault* # idoptional* be ! the overloaded constructor definition of prefixedNameIR ( argumentIR* ) in IC.

    2. Result in constructor constructorDef < typeArgumentIR* > with defaults iddefault* and optionals idoptional*.

  2. Let typeDefIR? be the type definition of prefixedNameIR from the p layer of IC.

  3. If let typeDefIR' be typeDefIR?:

    1. Check that typeDefIR' does not have type typedefTypeIR.

    2. Let _ : constructorDef # iddefault* # idoptional* be ! the overloaded constructor definition of prefixedNameIR ( argumentIR* ) in IC.

    3. Result in constructor constructorDef < typeArgumentIR* > with defaults iddefault* and optionals idoptional*.

  4. If typeArgumentIR* is equal to ·:

    1. Let typeDefIR' be ! the type definition of prefixedNameIR from the p layer of IC.

    2. Check that typeDefIR' has type typedefTypeIR.

    3. Let TYPEDEF nameIRalias typeIRalias be typeDefIR'.

    4. Let ( nameIR, typeArgumentIR'* ) be type alias in typeIRalias resolved to aliased name and type arguments.

    5. Let _ : constructorDef # iddefault* # idoptional* be ! the overloaded constructor definition of nameIR ( argumentIR* ) in IC.

    6. Result in constructor constructorDef < typeArgumentIR'* > with defaults iddefault* and optionals idoptional*.

18.3.2. Resolving callables

When type checking, callables are resolved by:

Click to view the specification source
relation CallableType_ok: cursor typingContext |- callableTargetIR `<typeArgumentListIR> `(argumentIR*) : callableTypeIR `<# typeId*> `(# id* # id*)

At runtime, callables are resolved to callees by:

Click to view the specification source
relation Callee_eval: cursor evalContext arch |- callableTargetIR `<_> `(argumentListIR) : evalContext arch calleeResult

While resolving callees, exit; statements may be encountered. Thus, the result of callee resolution is:

calleeResult
   : continueResult<callee>
   | abortResult
   ;

The following subsections describe the two phases, for each kind of callable.

18.3.2.1. Actions

During type checking, actions are resolved by:

actionTypeIR
   : annotationList ACTION nameIR `( parameterIR* )
   ;
Click to view the specification source
rulegroup CallableType_ok/actionTypeIR:
  rule CallableType_ok/actionTypeIR:
  p TC |- prefixedNameIR `<eps> `(argumentIR*) : actionTypeIR `<# eps> `(# id_default* # id_optional*)
 -- if callableId : actionTypeIR # id_default* # id_optional* = $find_callableDef_overloaded_t(p, TC, prefixedNameIR, argumentIR*)
 -- CallableType_wf: $bound(p, TC) |- actionTypeIR
  1. Let callableId : callableTypeDefIR # iddefault* # idoptional* be ! the overloaded callable definition of prefixedNameIR( argumentIR* ) from the p layer of TC.

  2. Check that callableTypeDefIR has type actionTypeIR.

  3. Let actionTypeIR be callableTypeDefIR.

  4. Let bound be bound type variables from the p layer of TC.

  5. Check that actionTypeIR is a well-formed callable type, with bound type variables bound.

  6. Result in callable type actionTypeIR with fresh type variables ·, defaults iddefault* and optionals idoptional*.

During runtime evaluation, actions are resolved by:

actionCallee
   : ACTION cursor . nameIR `( parameterListIR # id* ) blockStatementIR
   ;
Click to view the specification source
rulegroup Callee_eval/actionCallee:
  rule Callee_eval/actionCallee:
  p EC ARCH |- referenceExpressionIR `<_> `(argumentListIR) : EC ARCH (` actionCallee)
 -- if _ : (p_ref, actionDef) # id_default* # _ = $find_callableDef_overloaded_e(p, EC, referenceExpressionIR, argumentListIR)
 -- if ACTION nameIR `(parameterListIR) blockStatementIR = actionDef
 -- if actionCallee = ACTION p_ref . nameIR `(parameterListIR # id_default*) blockStatementIR
  1. Let _ : (cursor, callableDef) # iddefault* # _* be ! the overloaded callable definition of referenceExpressionIR( argumentListIR ) in the p layer of EC.

  2. Check that (cursor, callableDef) has type (cursor, actionDef).

  3. Let ( pref, actionDef ) be (cursor, callableDef).

  4. Let ACTION nameIR ( parameterListIR ) blockStatementIR be actionDef.

  5. Let actionCallee be ACTION pref . nameIR ( parameterListIR # iddefault* ) blockStatementIR.

  6. Result in context EC, state ARCH, and callee actionCallee.

18.3.2.2. Functions

During type checking, functions are resolved by:

functionTypeIR
   : definedFunctionTypeIR
   | externFunctionTypeIR
   ;
Click to view the specification source
rulegroup CallableType_ok/functionTypeIR:
  rule CallableType_ok/functionTypeIR:
  p TC |- prefixedNameIR `<typeArgumentIR*> `(argumentIR*) : functionTypeIR `<# typeId_impl*> `(# id_default* # id_optional*)
 -- if callableId : functionTypeDefIR # id_default* # id_optional* = $find_callableDef_overloaded_t(p, TC, prefixedNameIR, argumentIR*)
 -- if (functionTypeIR, typeId_impl*) = $specialize_callableTypeDefIR(functionTypeDefIR, typeArgumentIR*)
 -- if bound = $union_set<typeId>($bound(p, TC), `{typeId_impl*})
 -- CallableType_wf: bound |- functionTypeIR
  1. Let callableId : callableTypeDefIR # iddefault* # idoptional* be ! the overloaded callable definition of prefixedNameIR( argumentIR* ) from the p layer of TC.

  2. Check that callableTypeDefIR has type functionTypeDefIR.

  3. Let functionTypeDefIR be callableTypeDefIR.

  4. Let (callableTypeIR, typeId*) be functionTypeDefIR specialized by typeArgumentIR*.

  5. Check that (callableTypeIR, typeId*) has type (functionTypeIR, typeId*).

  6. Let ( functionTypeIR, typeIdimpl* ) be (callableTypeIR, typeId*).

  7. Let bound' be bound type variables from the p layer of TC.

  8. Let bound be the union of the sets bound' and { typeIdimpl* }.

  9. Check that functionTypeIR is a well-formed callable type, with bound type variables bound.

  10. Result in callable type functionTypeIR with fresh type variables typeIdimpl*, defaults iddefault* and optionals idoptional*.

During runtime evaluation, functions are resolved by:

functionCallee
   : definedFunctionCallee
   | externFunctionCallee
   ;

For extern functions,

Click to view the specification source
rulegroup Callee_eval/externFunctionCallee:
  rule Callee_eval/externFunctionCallee:
  p EC ARCH |- referenceExpressionIR `<_> `(argumentListIR) : EC ARCH (` externFunctionCallee)
 -- if _ : (_, externFunctionDef) # id_default* # id_optional* = $find_callableDef_overloaded_e(p, EC, referenceExpressionIR, argumentListIR)
 -- if EXTERN_FUNCTION nameIR `<typeParameterListIR> `(parameterListIR) = externFunctionDef
 -- if externFunctionCallee = EXTERN_FUNCTION nameIR `<typeParameterListIR> `(parameterListIR # id_default* # id_optional*)
  1. Let _ : ( _, callableDef ) # iddefault* # idoptional* be ! the overloaded callable definition of referenceExpressionIR( argumentListIR ) in the p layer of EC.

  2. Check that callableDef has type externFunctionDef.

  3. Let externFunctionDef be callableDef.

  4. Let EXTERN_FUNCTION nameIR < typeParameterListIR > ( parameterListIR ) be externFunctionDef.

  5. Let externFunctionCallee be EXTERN_FUNCTION nameIR < typeParameterListIR > ( parameterListIR # iddefault* # idoptional* ).

  6. Result in context EC, state ARCH, and callee externFunctionCallee.

For user-defined functions,

Click to view the specification source
rulegroup Callee_eval/definedFunctionCallee:
  rule Callee_eval/definedFunctionCallee:
  p EC ARCH |- referenceExpressionIR `<_> `(argumentListIR) : EC ARCH (` definedFunctionCallee)
 -- if _ : (_, definedFunctionDef) # id_default* # _ = $find_callableDef_overloaded_e(p, EC, referenceExpressionIR, argumentListIR)
 -- if FUNCTION nameIR `<typeParameterListIR> `(parameterListIR) blockStatementIR = definedFunctionDef
 -- if definedFunctionCallee = FUNCTION nameIR `<typeParameterListIR> `(parameterListIR # id_default*) blockStatementIR
  1. Let _ : ( _, callableDef ) # iddefault* # _* be ! the overloaded callable definition of referenceExpressionIR( argumentListIR ) in the p layer of EC.

  2. Check that callableDef has type definedFunctionDef.

  3. Let definedFunctionDef be callableDef.

  4. Let FUNCTION nameIR < typeParameterListIR > ( parameterListIR ) blockStatementIR be definedFunctionDef.

  5. Let definedFunctionCallee be FUNCTION nameIR < typeParameterListIR > ( parameterListIR # iddefault* ) blockStatementIR.

  6. Result in context EC, state ARCH, and callee definedFunctionCallee.

18.3.2.3. Built-in methods

During type checking, built-in methods are resolved by:

builtinMethodTypeIR
   : BUILTIN_METHOD nameIR `( parameterIR* ) : typeIR
   ;
Click to view the specification source
rulegroup CallableType_ok/builtinMethodTypeIR:
  rule CallableType_ok/minmax-SizeIn-BitsBytes:
  p TC |- (typedExpressionIR_base . nameIR) `<eps> `(eps) : methodTypeIR `<# eps> `(# eps # eps)
 -- if nameIR <- ["minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes"]
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if typeIR_base_unroll = $unroll_typeIR(typeIR_base)
 -- if ~(typeIR_base_unroll <: objectTypeIR)
 -- if ~(typeIR_base_unroll <: synthesizedTypeIR)
 -- if methodTypeIR = BUILTIN_METHOD nameIR `(eps) : INT
  rule CallableType_ok/stack-push-pop-front:
  p TC |- (typedExpressionIR_base . nameIR) `<eps> `(argumentIR) : methodTypeIR `<# eps> `(# eps # eps)
 -- if nameIR <- ["push_front", "pop_front"]
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if typeIR `[_] = $unroll_typeIR(typeIR_base)
 -- if parameterIR = `EMPTY `EMPTY INT "count" eps
 -- if methodTypeIR = BUILTIN_METHOD nameIR `(parameterIR) : INT
  rule CallableType_ok/header-isValid:
  p TC |- (typedExpressionIR_base . nameIR) `<eps> `(eps) : methodTypeIR `<# eps> `(# eps # eps)
 -- if nameIR <- ["isValid"]
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if HEADER _ `<_> `{_} = $unroll_typeIR(typeIR_base)
 -- if methodTypeIR = BUILTIN_METHOD nameIR `(eps) : BOOL
  rule CallableType_ok/header-union-isValid:
  p TC |- (typedExpressionIR_base . nameIR) `<eps> `(eps) : methodTypeIR `<# eps> `(# eps # eps)
 -- if nameIR <- ["isValid"]
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if HEADER_UNION _ `<_> `{_} = $unroll_typeIR(typeIR_base)
 -- if methodTypeIR = BUILTIN_METHOD nameIR `(eps) : BOOL
  rule CallableType_ok/header-set-ValidInvalid:
  p TC |- (typedExpressionIR_base . nameIR) `<eps> `(eps) : methodTypeIR `<# eps> `(# eps # eps)
 -- if nameIR <- ["setValid", "setInvalid"]
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if HEADER _ `<_> `{_} = $unroll_typeIR(typeIR_base)
 -- if methodTypeIR = BUILTIN_METHOD nameIR `(eps) : VOID
  1. If argumentIR* is equal to ·:

    1. If nameIR is in [ "minSizeInBits", "minSizeInBytes", "maxSizeInBits", "maxSizeInBytes" ]:

      1. Let typeIRbase be the type of typedExpressionIRbase.

      2. Let typeIRbase_unroll be typeIRbase with typedefs unrolled.

      3. Check that typeIRbase_unroll does not have type objectTypeIR.

      4. Check that typeIRbase_unroll does not have type synthesizedTypeIR.

      5. Let methodTypeIR be BUILTIN_METHOD nameIR ( · ) : INT.

      6. Result in callable type methodTypeIR with fresh type variables ·, defaults · and optionals ·.

    2. Else if nameIR is in "isValid":

      1. Let typeIRbase be the type of typedExpressionIRbase.

      2. Let typeIR be typeIRbase with typedefs unrolled.

      3. If typeIR has type headerTypeIR:

        1. Let methodTypeIR be BUILTIN_METHOD nameIR ( · ) : BOOL.

        2. Result in callable type methodTypeIR with fresh type variables ·, defaults · and optionals ·.

      4. Else if typeIR has type headerUnionTypeIR:

        1. Let methodTypeIR be BUILTIN_METHOD nameIR ( · ) : BOOL.

        2. Result in callable type methodTypeIR with fresh type variables ·, defaults · and optionals ·.

    3. Else if nameIR is in [ "setValid", "setInvalid" ]:

      1. Let typeIRbase be the type of typedExpressionIRbase.

      2. Let typeIR be typeIRbase with typedefs unrolled.

      3. Check that typeIR has type headerTypeIR.

      4. Let methodTypeIR be BUILTIN_METHOD nameIR ( · ) : VOID.

      5. Result in callable type methodTypeIR with fresh type variables ·, defaults · and optionals ·.

  2. If argumentIR* is a list of length 1:

    1. Check that nameIR is in [ "push_front", "pop_front" ].

    2. Let typeIRbase be the type of typedExpressionIRbase.

    3. Let typeIR be typeIRbase with typedefs unrolled.

    4. Check that typeIR has type headerStackTypeIR.

    5. Let parameterIR be `EMPTY `EMPTY INT "count" ·.

    6. Let methodTypeIR be BUILTIN_METHOD nameIR ( parameterIR ) : INT.

    7. Result in callable type methodTypeIR with fresh type variables ·, defaults · and optionals ·.

During runtime evaluation, built-in methods are resolved by:

builtinMethodCallee
   : BUILTIN_METHOD storageReference . nameIR `< typeArgumentListIR >
       `( parameterListIR )
   ;
Click to view the specification source
rulegroup Callee_eval/builtinMethodCallee:
  rule Callee_eval/abort:
  p EC_0 ARCH_0 |- (typedExpressionIR . nameIR) `<_> `(argumentListIR) : EC_1 ARCH_1 abortResult
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 abortResult
  rule Callee_eval/header-stack-push_front:
  p EC_0 ARCH_0 |- (typedExpressionIR . "push_front") `<_> `(argumentIR) : EC_1 ARCH_1 (` builtinMethodCallee)
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- if parameterIR = `EMPTY `EMPTY INT "count" eps
 -- if builtinMethodCallee = BUILTIN_METHOD storageReference . "push_front" `<eps> `(parameterIR)
  rule Callee_eval/header-stack-pop_front:
  p EC_0 ARCH_0 |- (typedExpressionIR . "pop_front") `<_> `(argumentIR) : EC_1 ARCH_1 (` builtinMethodCallee)
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- if parameterIR = `EMPTY `EMPTY INT "count" eps
 -- if builtinMethodCallee = BUILTIN_METHOD storageReference . "pop_front" `<eps> `(parameterIR)
  rule Callee_eval/header-isValid:
  p EC_0 ARCH_0 |- (typedExpressionIR . "isValid") `<_> `(eps) : EC_1 ARCH_1 (` builtinMethodCallee)
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- if builtinMethodCallee = BUILTIN_METHOD storageReference . "isValid" `<eps> `(eps)
  rule Callee_eval/header-setValid:
  p EC_0 ARCH_0 |- (typedExpressionIR . "setValid") `<_> `(eps) : EC_1 ARCH_1 (` builtinMethodCallee)
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- if builtinMethodCallee = BUILTIN_METHOD storageReference . "setValid" `<eps> `(eps)
  rule Callee_eval/header-setInvalid:
  p EC_0 ARCH_0 |- (typedExpressionIR . "setInvalid") `<_> `(eps) : EC_1 ARCH_1 (` builtinMethodCallee)
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- if builtinMethodCallee = BUILTIN_METHOD storageReference . "setInvalid" `<eps> `(eps)
  1. Let typedLvalueIR? be the l-value form of typedExpressionIR.

  2. If let typedLvalueIR' be typedLvalueIR?:

    1. Let context EC1, state ARCH1, and result storageReferenceResult be

    2. Check that storageReferenceResult has type abortResult.

    3. Let abortResult be storageReferenceResult.

    4. Result in context EC1, state ARCH1, and callee abortResult.

  3. If nameIR is equal to "push_front":

    1. Check that argumentListIR is a list of length 1.

    2. Let typedLvalueIR' be ! the l-value form of typedExpressionIR.

    3. Let context EC1, state ARCH1, and result storageReferenceResult be

    4. Check that storageReferenceResult has type continueResult<storageReference?>.

    5. Let storageReference? be storageReferenceResult.

    6. Check that storageReference? is defined.

    7. Let storageReference' be storageReference?.

    8. Let parameterIR be `EMPTY `EMPTY INT "count" ·.

    9. Let builtinMethodCallee be BUILTIN_METHOD storageReference' . "push_front" < · > ( parameterIR ).

    10. Result in context EC1, state ARCH1, and callee builtinMethodCallee.

  4. Else if nameIR is equal to "pop_front":

    1. Check that argumentListIR is a list of length 1.

    2. Let typedLvalueIR' be ! the l-value form of typedExpressionIR.

    3. Let context EC1, state ARCH1, and result storageReferenceResult be

    4. Check that storageReferenceResult has type continueResult<storageReference?>.

    5. Let storageReference? be storageReferenceResult.

    6. Check that storageReference? is defined.

    7. Let storageReference' be storageReference?.

    8. Let parameterIR be `EMPTY `EMPTY INT "count" ·.

    9. Let builtinMethodCallee be BUILTIN_METHOD storageReference' . "pop_front" < · > ( parameterIR ).

    10. Result in context EC1, state ARCH1, and callee builtinMethodCallee.

  5. Else if nameIR is equal to "isValid":

    1. Check that argumentListIR is equal to ·.

    2. Let typedLvalueIR' be ! the l-value form of typedExpressionIR.

    3. Let context EC1, state ARCH1, and result storageReferenceResult be

    4. Check that storageReferenceResult has type continueResult<storageReference?>.

    5. Let storageReference? be storageReferenceResult.

    6. Check that storageReference? is defined.

    7. Let storageReference' be storageReference?.

    8. Let builtinMethodCallee be BUILTIN_METHOD storageReference' . "isValid" < · > ( · ).

    9. Result in context EC1, state ARCH1, and callee builtinMethodCallee.

  6. Else if nameIR is equal to "setValid":

    1. Check that argumentListIR is equal to ·.

    2. Let typedLvalueIR' be ! the l-value form of typedExpressionIR.

    3. Let context EC1, state ARCH1, and result storageReferenceResult be

    4. Check that storageReferenceResult has type continueResult<storageReference?>.

    5. Let storageReference? be storageReferenceResult.

    6. Check that storageReference? is defined.

    7. Let storageReference' be storageReference?.

    8. Let builtinMethodCallee be BUILTIN_METHOD storageReference' . "setValid" < · > ( · ).

    9. Result in context EC1, state ARCH1, and callee builtinMethodCallee.

  7. Else if nameIR is equal to "setInvalid":

    1. Check that argumentListIR is equal to ·.

    2. Let typedLvalueIR' be ! the l-value form of typedExpressionIR.

    3. Let context EC1, state ARCH1, and result storageReferenceResult be

    4. Check that storageReferenceResult has type continueResult<storageReference?>.

    5. Let storageReference? be storageReferenceResult.

    6. Check that storageReference? is defined.

    7. Let storageReference' be storageReference?.

    8. Let builtinMethodCallee be BUILTIN_METHOD storageReference' . "setInvalid" < · > ( · ).

    9. Result in context EC1, state ARCH1, and callee builtinMethodCallee.

18.3.2.4. Extern methods

During type checking, extern methods are resolved by:

externMethodTypeIR
   : EXTERN_METHOD nameIR `( parameterIR* ) : typeIR
   | EXTERN_METHOD ABSTRACT nameIR `( parameterIR* ) : typeIR
   ;
Click to view the specification source
rulegroup CallableType_ok/externMethodTypeIR:
  rule CallableType_ok/externMethodTypeIR:
  p TC |- (typedExpressionIR_base . nameIR) `<typeArgumentIR*> `(argumentIR*) : externMethodTypeIR `<# typeId_impl*> `(# id_default* # id_optional*)
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if EXTERN typeId `<_> `{(callableId_extern : externMethodTypeDefIR_extern)*} = $unroll_typeIR(typeIR_base)
 -- if callTargetKey = $callTargetKey(nameIR, argumentIR*)
 -- if _ : externMethodTypeDefIR # id_default* # id_optional* = $find_overloaded<externMethodTypeDefIR>(`{(callableId_extern : externMethodTypeDefIR_extern)*}, callTargetKey, $parameterListIR_of_externMethodTypeDefIR)
 -- if (externMethodTypeIR, typeId_impl*) = $specialize_callableTypeDefIR(externMethodTypeDefIR, typeArgumentIR*)
 -- if bound = $union_set<typeId>($bound(p, TC), `{typeId_impl*})
 -- CallableType_wf: bound |- externMethodTypeIR
  1. Let typeIRbase be the type of typedExpressionIRbase.

  2. Let typeIR be typeIRbase with typedefs unrolled.

  3. Check that typeIR has type externObjectTypeIR.

  4. Let EXTERN typeId < _* > { ( callableIdextern : externMethodTypeDefIRextern )* } be typeIR.

  5. Let callTargetKey be the call target key for nameIR ( argumentIR* ).

  6. Let _ : externMethodTypeDefIR # iddefault* # idoptional* be ! finding the item in { ( callableIdextern : externMethodTypeDefIRextern )* } matching callTargetKey using parameter getter $parameterListIR_of_externMethodTypeDefIR.

  7. Let (callableTypeIR, typeId*) be externMethodTypeDefIR specialized by typeArgumentIR*.

  8. Check that (callableTypeIR, typeId*) has type (externMethodTypeIR, typeId*).

  9. Let ( externMethodTypeIR, typeIdimpl* ) be (callableTypeIR, typeId*).

  10. Let bound' be bound type variables from the p layer of TC.

  11. Let bound be the union of the sets bound' and { typeIdimpl* }.

  12. Check that externMethodTypeIR is a well-formed callable type, with bound type variables bound.

  13. Result in callable type externMethodTypeIR with fresh type variables typeIdimpl*, defaults iddefault* and optionals idoptional*.

During runtime evaluation, extern methods are resolved by:

externMethodCallee
   : EXTERN_METHOD objectId . nameIR `< typeParameterListIR >
       `( parameterListIR # id* # id* ) `{ theta ; frame ; blockStatementIR? }
   ;
Click to view the specification source
rulegroup Callee_eval/externMethodCallee:
  rule Callee_eval/abort:
  p EC_0 ARCH_0 |- (typedExpressionIR . nameIR) `<_> `(argumentListIR) : EC_1 ARCH_1 abortResult
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 abortResult
  rule Callee_eval/cont:
  p EC_0 ARCH_0 |- (typedExpressionIR . nameIR) `<_> `(argumentListIR) : EC_1 ARCH_1 (` externMethodCallee)
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Lvalue_read: p EC_1 ARCH_1 |- storageReference : (REF objectId)
 -- if EXTERN _ `<theta> `{_ frame externMethodDefEnv} = $find_object_e(ARCH_1, objectId)
 -- if callTargetKey = $callTargetKey(nameIR, argumentListIR)
 -- if _ : externMethodDef # id_default* # id_optional* = $find_overloaded<externMethodDef>(externMethodDefEnv, callTargetKey, $parameterListIR_of_externMethodDef)
 -- if EXTERN_METHOD nameIR `<typeParameterListIR> `(parameterListIR) blockStatementIR? = externMethodDef
 -- if externMethodCallee = EXTERN_METHOD objectId . nameIR `<typeParameterListIR> `(parameterListIR # id_default* # id_optional*) `{theta ; frame ; blockStatementIR?}
  1. Let typedLvalueIR' be ! the l-value form of typedExpressionIR.

  2. Let context EC1, state ARCH1, and result storageReferenceResult be

  3. If let abortResult be storageReferenceResult:

    1. Result in context EC1, state ARCH1, and callee abortResult.

  4. Else:

    1. Let storageReference? be storageReferenceResult.

    2. Check that storageReference? is defined.

    3. Let storageReference' be storageReference?.

    4. Let value value be

    5. Check that value has type objectReferenceValue.

    6. Let REF objectId be value.

    7. Let object' be ! the object objectId in ARCH1.

    8. Check that object' has type externObject.

    9. Let EXTERN _ < theta > { _ frame externMethodDefEnv } be object'.

    10. Let callTargetKey be the call target key for nameIR ( argumentListIR ).

    11. Let _ : externMethodDef # iddefault* # idoptional* be ! finding the item in externMethodDefEnv matching callTargetKey using parameter getter $parameterListIR_of_externMethodDef.

    12. Check that externMethodDef matches pattern EXTERN_METHOD % < % > ( % ) %.

    13. Let EXTERN_METHOD nameIR' < typeParameterListIR > ( parameterListIR ) blockStatementIR? be externMethodDef.

    14. Check that nameIR' is equal to nameIR'.

    15. Let externMethodCallee be EXTERN_METHOD objectId . nameIR' < typeParameterListIR > ( parameterListIR # iddefault* # idoptional* ) { theta ; frame ; blockStatementIR? }.

    16. Result in context EC1, state ARCH1, and callee externMethodCallee.

18.3.2.5. Parser apply methods

During type checking, parser apply methods are resolved by:

parserApplyMethodTypeIR
   : PARSER_APPLY `( parameterIR* )
   ;
Click to view the specification source
rulegroup CallableType_ok/parserApplyMethodTypeIR:
  rule CallableType_ok/parserApplyMethodTypeIR:
  p TC |- (typedExpressionIR_base . "apply") `<eps> `(argumentIR*) : parserApplyMethodTypeIR `<# eps> `(# id_default* # id_optional*)
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if PARSER _ `<_> `(parameterIR*) = $unroll_typeIR(typeIR_base)
 -- if parserApplyMethodTypeIR = PARSER_APPLY `(parameterIR*)
 -- (if (_ _ _ id_param _ = parameterIR))*
 -- if callableId = "apply" `(id_param*)
 -- if callTargetKey = $callTargetKey("apply", argumentIR*)
 -- if _ : _ # id_default* # id_optional* = $find_overloaded<parserApplyMethodTypeIR>(`{(callableId : parserApplyMethodTypeIR)}, callTargetKey, $parameterListIR_of_parserApplyMethodTypeIR)
  1. Let typeIRbase be the type of typedExpressionIRbase.

  2. Let typeIR be typeIRbase with typedefs unrolled.

  3. Check that typeIR has type parserObjectTypeIR.

  4. Let PARSER _ < _* > ( parameterIR* ) be typeIR.

  5. Let parserApplyMethodTypeIR be PARSER_APPLY ( parameterIR* ).

  6. Let idparam* be the list obtained by repeating:

    • Let idparam be the name of parameterIR.

    for each parameterIR in parameterIR*

  7. Let callableId be "apply" ( idparam* ).

  8. Let callTargetKey be the call target key for "apply" ( argumentIR* ).

  9. Let _ : _ # iddefault* # idoptional* be ! finding the item in { callableId : parserApplyMethodTypeIR } matching callTargetKey using parameter getter $parameterListIR_of_parserApplyMethodTypeIR.

  10. Result in callable type parserApplyMethodTypeIR with fresh type variables ·, defaults iddefault* and optionals idoptional*.

During runtime evaluation, parser apply methods are resolved by:

parserApplyMethodCallee
   : PARSER objectId . APPLY `( parameterListIR # id* )
       `{ theta ; frame ; parserLocalDeclarationListIR ; stateEnv }
   ;
Click to view the specification source
rulegroup Callee_eval/parserApplyMethodCallee:
  rule Callee_eval/abort:
  p EC_0 ARCH_0 |- (typedExpressionIR . "apply") `<_> `(argumentListIR) : EC_1 ARCH_1 abortResult
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 abortResult
  rule Callee_eval/cont:
  p EC_0 ARCH_0 |- (typedExpressionIR . "apply") `<_> `(argumentListIR) : EC_1 ARCH_1 (` parserApplyMethodCallee)
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Lvalue_read: p EC_1 ARCH_1 |- storageReference : (REF objectId)
 -- if PARSER `<theta> `(parameterListIR) `{frame parserLocalDeclarationListIR stateEnv} = $find_object_e(ARCH_1, objectId)
 -- if callableId = $callableId_IR("apply", parameterListIR)
 -- if parserApplyMethodDef = PARSER_APPLY `(parameterListIR) `{parserLocalDeclarationListIR ; stateEnv}
 -- if callTargetKey = $callTargetKey("apply", argumentListIR)
 -- if _ : _ # id_default* # _ = $find_overloaded<parserApplyMethodDef>(`{(callableId : parserApplyMethodDef)}, callTargetKey, $parameterListIR_of_parserApplyMethodDef)
 -- if parserApplyMethodCallee = PARSER objectId . APPLY `(parameterListIR # id_default*) `{theta ; frame ; parserLocalDeclarationListIR ; stateEnv}
  1. Let typedLvalueIR' be ! the l-value form of typedExpressionIR.

  2. Let context EC1, state ARCH1, and result storageReferenceResult be

  3. If let abortResult be storageReferenceResult:

    1. Result in context EC1, state ARCH1, and callee abortResult.

  4. Else:

    1. Let storageReference? be storageReferenceResult.

    2. Check that storageReference? is defined.

    3. Let storageReference' be storageReference?.

    4. Let value value be

    5. Check that value has type objectReferenceValue.

    6. Let REF objectId be value.

    7. Let object' be ! the object objectId in ARCH1.

    8. Check that object' has type parserObject.

    9. Let PARSER < theta > ( parameterListIR ) { frame parserLocalDeclarationListIR stateEnv } be object'.

    10. Let callableId be the callable identifier for "apply" ( parameterListIR ).

    11. Let parserApplyMethodDef be PARSER_APPLY ( parameterListIR ) { parserLocalDeclarationListIR ; stateEnv }.

    12. Let callTargetKey be the call target key for "apply" ( argumentListIR ).

    13. Let _ : _ # iddefault* # _* be ! finding the item in { callableId : parserApplyMethodDef } matching callTargetKey using parameter getter $parameterListIR_of_parserApplyMethodDef.

    14. Let parserApplyMethodCallee be PARSER objectId . APPLY ( parameterListIR # iddefault* ) { theta ; frame ; parserLocalDeclarationListIR ; stateEnv }.

    15. Result in context EC1, state ARCH1, and callee parserApplyMethodCallee.

18.3.2.6. Control apply methods

During type checking, control apply methods are resolved by:

controlApplyMethodTypeIR
   : CONTROL_APPLY `( parameterIR* )
   ;
Click to view the specification source
rulegroup CallableType_ok/controlApplyMethodTypeIR:
  rule CallableType_ok/controlApplyMethodTypeIR:
  p TC |- (typedExpressionIR_base . "apply") `<eps> `(argumentIR*) : controlApplyMethodTypeIR `<# eps> `(# id_default* # id_optional*)
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if CONTROL _ `<_> `(parameterIR*) = $unroll_typeIR(typeIR_base)
 -- if controlApplyMethodTypeIR = CONTROL_APPLY `(parameterIR*)
 -- (if (_ _ _ id_param _ = parameterIR))*
 -- if callableId = "apply" `(id_param*)
 -- if callTargetKey = $callTargetKey("apply", argumentIR*)
 -- if _ : _ # id_default* # id_optional* = $find_overloaded<controlApplyMethodTypeDefIR>(`{(callableId : controlApplyMethodTypeIR)}, callTargetKey, $parameterListIR_of_controlApplyMethodTypeIR)
  1. Let typeIRbase be the type of typedExpressionIRbase.

  2. Let typeIR be typeIRbase with typedefs unrolled.

  3. Check that typeIR has type controlObjectTypeIR.

  4. Let CONTROL _ < _* > ( parameterIR* ) be typeIR.

  5. Let controlApplyMethodTypeIR be CONTROL_APPLY ( parameterIR* ).

  6. Let idparam* be the list obtained by repeating:

    • Let idparam be the name of parameterIR.

    for each parameterIR in parameterIR*

  7. Let callableId be "apply" ( idparam* ).

  8. Let callTargetKey be the call target key for "apply" ( argumentIR* ).

  9. Let _ : _ # iddefault* # idoptional* be ! finding the item in { callableId : controlApplyMethodTypeIR } matching callTargetKey using parameter getter $parameterListIR_of_controlApplyMethodTypeIR.

  10. Result in callable type controlApplyMethodTypeIR with fresh type variables ·, defaults iddefault* and optionals idoptional*.

During runtime evaluation, control apply methods are resolved by:

controlApplyMethodCallee
   : CONTROL objectId . APPLY `( parameterListIR # id* )
       `{ theta ; frame ; controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR }
   ;
Click to view the specification source
rulegroup Callee_eval/controlApplyMethodCallee:
  rule Callee_eval/abort:
  p EC_0 ARCH_0 |- (typedExpressionIR . "apply") `<_> `(argumentListIR) : EC_1 ARCH_1 abortResult
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 abortResult
  rule Callee_eval/cont:
  p EC_0 ARCH_0 |- (typedExpressionIR . "apply") `<_> `(argumentListIR) : EC_1 ARCH_1 (` controlApplyMethodCallee)
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Lvalue_read: p EC_1 ARCH_1 |- storageReference : (REF objectId)
 -- if CONTROL `<theta> `(parameterListIR) `{frame controlLocalDeclarationListIR actionDefEnv controlBodyIR} = $find_object_e(ARCH_1, objectId)
 -- if callableId = $callableId_IR("apply", parameterListIR)
 -- if controlApplyMethodDef = CONTROL_APPLY `(parameterListIR) `{controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR}
 -- if callTargetKey = $callTargetKey("apply", argumentListIR)
 -- if _ : _ # id_default* # _ = $find_overloaded<controlApplyMethodDef>(`{(callableId : controlApplyMethodDef)}, callTargetKey, $parameterListIR_of_controlApplyMethodDef)
 -- if controlApplyMethodCallee = CONTROL objectId . APPLY `(parameterListIR # id_default*) `{theta ; frame ; controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR}
  1. Let typedLvalueIR' be ! the l-value form of typedExpressionIR.

  2. Let context EC1, state ARCH1, and result storageReferenceResult be

  3. If let abortResult be storageReferenceResult:

    1. Result in context EC1, state ARCH1, and callee abortResult.

  4. Else:

    1. Let storageReference? be storageReferenceResult.

    2. Check that storageReference? is defined.

    3. Let storageReference' be storageReference?.

    4. Let value value be

    5. Check that value has type objectReferenceValue.

    6. Let REF objectId be value.

    7. Let object' be ! the object objectId in ARCH1.

    8. Check that object' has type controlObject.

    9. Let CONTROL < theta > ( parameterListIR ) { frame controlLocalDeclarationListIR actionDefEnv controlBodyIR } be object'.

    10. Let callableId be the callable identifier for "apply" ( parameterListIR ).

    11. Let controlApplyMethodDef be CONTROL_APPLY ( parameterListIR ) { controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR }.

    12. Let callTargetKey be the call target key for "apply" ( argumentListIR ).

    13. Let _ : _ # iddefault* # _* be ! finding the item in { callableId : controlApplyMethodDef } matching callTargetKey using parameter getter $parameterListIR_of_controlApplyMethodDef.

    14. Let controlApplyMethodCallee be CONTROL objectId . APPLY ( parameterListIR # iddefault* ) { theta ; frame ; controlLocalDeclarationListIR ; actionDefEnv ; controlBodyIR }.

    15. Result in context EC1, state ARCH1, and callee controlApplyMethodCallee.

18.3.2.7. Table apply methods

During type checking, table apply methods are resolved by:

tableApplyMethodTypeIR
   : TABLE_APPLY : tableMetadataStructTypeIR
   ;
Click to view the specification source
rulegroup CallableType_ok/tableApplyMethodTypeIR:
  rule CallableType_ok/tableApplyMethodTypeIR:
  p TC |- (typedExpressionIR_base . "apply") `<eps> `(eps) : tableApplyMethodTypeIR `<# eps> `(# eps # eps)
 -- if typeIR_base = $type_of_typedExpressionIR(typedExpressionIR_base)
 -- if TABLE _ `{tableMetadataStructTypeIR} = $unroll_typeIR(typeIR_base)
 -- if tableApplyMethodTypeIR = TABLE_APPLY : tableMetadataStructTypeIR
  1. Let typeIRbase be the type of typedExpressionIRbase.

  2. Let typeIR be typeIRbase with typedefs unrolled.

  3. Check that typeIR has type tableObjectTypeIR.

  4. Let TABLE _ { tableMetadataStructTypeIR } be typeIR.

  5. Let tableApplyMethodTypeIR be TABLE_APPLY : tableMetadataStructTypeIR.

  6. Result in callable type tableApplyMethodTypeIR with fresh type variables ·, defaults · and optionals ·.

During runtime evaluation, table apply methods are resolved by:

tableApplyMethodCallee
   : TABLE objectId . APPLY `{ frame ; tableObjectProperty }
   ;
Click to view the specification source
rulegroup Callee_eval/tableApplyMethodCallee:
  rule Callee_eval/abort:
  p EC_0 ARCH_0 |- (typedExpressionIR . "apply") `<_> `(eps) : EC_1 ARCH_1 abortResult
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 abortResult
  rule Callee_eval/cont:
  p EC_0 ARCH_0 |- (typedExpressionIR . "apply") `<_> `(eps) : EC_1 ARCH_1 (` tableApplyMethodCallee)
 -- if typedLvalueIR = $typedExpressionIR_as_typedLvalueIR(typedExpressionIR)
 -- Lvalue_eval: p EC_0 ARCH_0 |- typedLvalueIR : EC_1 ARCH_1 (` storageReference)
 -- Lvalue_read: p EC_1 ARCH_1 |- storageReference : (REF objectId)
 -- if TABLE typeId `{frame TBL} = $find_object_e(ARCH_1, objectId)
 -- if tableApplyMethodCallee = TABLE objectId . APPLY `{frame ; TBL}
  1. Let typedLvalueIR' be ! the l-value form of typedExpressionIR.

  2. Let context EC1, state ARCH1, and result storageReferenceResult be

  3. If let abortResult be storageReferenceResult:

    1. Result in context EC1, state ARCH1, and callee abortResult.

  4. Else:

    1. Let storageReference? be storageReferenceResult.

    2. Check that storageReference? is defined.

    3. Let storageReference' be storageReference?.

    4. Let value value be

    5. Check that value has type objectReferenceValue.

    6. Let REF objectId be value.

    7. Let object' be ! the object objectId in ARCH1.

    8. Check that object' has type tableObject.

    9. Let TABLE typeId { frame TBL } be object'.

    10. Let tableApplyMethodCallee be TABLE objectId . APPLY { frame ; TBL }.

    11. Result in context EC1, state ARCH1, and callee tableApplyMethodCallee.

18.4. Call convention

18.5. Runtime evaluation of constructor calls

18.6. Runtime evaluation of callable calls

At runtime, callable callees are evaluated as follows:

Click to view the specification source
relation Call_eval: cursor evalContext arch |- callee @ `<typeArgumentListIR> `(argumentListIR) : evalContext arch callResult

The following subsections describe the evaluation of callable calls for different types of callees.

18.6.1. Actions

An action call is evaluated as follows:

Click to view the specification source
rulegroup Call_eval/actionCallee:
  rule Call_eval/copyin-exit:
  p EC_0 ARCH_0 |- actionCallee @ `<eps> `(argumentListIR) : EC_1 ARCH_1 EXIT
 -- if ACTION p_shared . nameIR `(parameterIR* # id_default*) blockStatementIR = actionCallee
 -- if EC_callee_0 = $inherit_e(p_shared, EC_0)
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterIR*, argumentListIR, id_default*, eps)
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ LOCAL EC_callee_0 argumentListIR ~> ARCH_1 EC_1 EC_callee_1 # EXIT
  rule Call_eval/copyin-cont-ActionBody-exit:
  p EC_0 ARCH_0 |- actionCallee @ `<eps> `(argumentListIR) : EC_2 ARCH_2 EXIT
 -- if ACTION p_shared . nameIR `(parameterIR* # id_default*) blockStatementIR = actionCallee
 -- if EC_callee_0 = $inherit_e(p_shared, EC_0)
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterIR*, argumentListIR, id_default*, eps)
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ LOCAL EC_callee_0 argumentListIR ~> ARCH_1 EC_1 EC_callee_1 # (` storageReference?*)
 -- Copy_in_default: parameterIR_default* @ LOCAL EC_callee_1 ~> EC_callee_2
 -- ActionBody_eval: EC_callee_2 ARCH_1 |- blockStatementIR : EC_callee_3 ARCH_2 EXIT
 -- Copy_out: p_shared ARCH_2 |- p EC_1 parameterIR_aligned* @ LOCAL EC_callee_3 storageReference?* ~> EC_2
  rule Call_eval/return:
  p EC_0 ARCH_0 |- actionCallee @ `<eps> `(argumentListIR) : EC_2 ARCH_2 (RETURN eps)
 -- if ACTION p_shared . nameIR `(parameterIR* # id_default*) blockStatementIR = actionCallee
 -- if EC_callee_0 = $inherit_e(p_shared, EC_0)
 -- if GIVEN parameterIR_aligned* DEFAULT parameterIR_default* = $align_parameterListIR(parameterIR*, argumentListIR, id_default*, eps)
 -- Copy_in: p_shared ARCH_0 |- p EC_0 parameterIR_aligned* @ LOCAL EC_callee_0 argumentListIR ~> ARCH_1 EC_1 EC_callee_1 # (` storageReference?*)
 -- Copy_in_default: parameterIR_default* @ LOCAL EC_callee_1 ~> EC_callee_2
 -- ActionBody_eval: EC_callee_2 ARCH_1 |- blockStatementIR : EC_callee_3 ARCH_2 (RETURN eps)
 -- Copy_out: p_shared ARCH_2 |- p EC_1 parameterIR_aligned* @ LOCAL EC_callee_3 storageReference?* ~> EC_2
  1. Let ACTION pshared . nameIR ( parameterIR* # iddefault* ) blockStatementIR be actionCallee.

  2. Let ECcallee_0 be copy of EC0 from the pshared layer.

  3. Let GIVEN parameterIRaligned* DEFAULT parameterIRdefault* be aligning parameterIR* with argumentListIR where defaults are iddefault* and optionals are ·.

  4. Let state ARCH1, caller’s context EC1, callee’s context ECcallee_1, and copy-in result copyInResult be

  5. If let exitResult be copyInResult:

    1. Result in context EC1, state ARCH1, and call result EXIT.

  6. Else if let storageReference?* be copyInResult:

    1. Let ECcallee_2 be

    2. Let the updated context ECcallee_3, state ARCH2 and result actionResult be

    3. If let exitResult be actionResult:

      1. Let EC2 be

      2. Result in context EC2, state ARCH2, and call result EXIT.

    4. If actionResult is equal to RETURN ·:

      1. Let EC2 be

      2. Result in context EC2, state ARCH2, and call result RETURN ·.

An action body is evaluated as follows:

Click to view the specification source
relation ActionBody_eval: evalContext arch |- blockStatementIR : evalContext arch actionResult

The result of evaluating an action body is either an exit or a return.

${sytnax: actionResult}

Click to view the specification source
rulegroup ActionBody_eval:
  rule ActionBody_eval/cont:
  EC_0 ARCH_0 |- blockStatementIR : EC_1 ARCH_1 (RETURN eps)
 -- Block_eval: EC_0 ARCH_0 |- blockStatementIR : EC_1 ARCH_1 `EMPTY
  rule ActionBody_eval/exit:
  EC_0 ARCH_0 |- blockStatementIR : EC_1 ARCH_1 EXIT
 -- Block_eval: EC_0 ARCH_0 |- blockStatementIR : EC_1 ARCH_1 EXIT
  rule ActionBody_eval/return-void:
  EC_0 ARCH_0 |- blockStatementIR : EC_1 ARCH_1 (RETURN eps)
 -- Block_eval: EC_0 ARCH_0 |- blockStatementIR : EC_1 ARCH_1 (RETURN eps)
  1. Let context EC1, state ARCH1, and statementResult be

  2. If let continueEmptyResult be statementResult:

    1. Result in the updated context EC1, state ARCH1 and result RETURN ·.

  3. Else if let exitResult be statementResult:

    1. Result in the updated context EC1, state ARCH1 and result EXIT.

  4. If statementResult is equal to RETURN ·:

    1. Result in the updated context EC1, state ARCH1 and result RETURN ·.

18.6.2. Functions

18.6.3. Built-in methods

18.6.4. Extern methods

18.6.5. Parser apply methods

18.6.6. Control apply methods

18.6.7. Table apply methods

19. Operations

19.1. Unary operations

Unary operations are evaluated with:

Click to view the specification source
def $un_op(~, value) = $un_bnot(value)

def $un_op(!, value) = $un_lnot(value)

def $un_op(+, value) = $un_plus(value)

def $un_op(-, value) = $un_minus(value)
  1. If unop is ~:

    1. Return ~ value.

  2. Else if unop is !:

    1. Return ! value.

  3. Else if unop is +:

    1. Return + value.

  4. Else:

    1. Return - value.

Negation
Click to view the specification source
def $un_lnot(`B b) = `B (~b)
  1. Check that value has type boolValue.

  2. Let `B b be value.

  3. Return `B ~b.

Bitwise complement
Click to view the specification source
def $un_bnot(w W i) = w W i''
 -- if i' = $bneg(i)
 -- if i'' = $ite<int>(i' >= 0, i', $pow2(w) + i')
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. Check that integerLiteral matches pattern % W %.

  4. Let w W i be integerLiteral.

  5. Let i' be the two’s complement negation of i.

  6. Let int be 2 to the power of w.

  7. Let i'' be i' if i' is greater than or equal to 0 otherwise int + i'.

  8. Return w W i''.

Plus
Click to view the specification source
def $un_plus(D i) = D i

def $un_plus(w W i) = w W i

def $un_plus(w S i) = w S i
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D i be integerLiteral:

    1. Return D i.

  4. Else if let w W i be integerLiteral:

    1. Return w W i.

  5. Else:

    1. Let w S i be integerLiteral.

    2. Return w S i.

Minus
Click to view the specification source
def $un_minus(D i) = D -i

def $un_minus(w W i) = w W i'
 -- if i' = $pow2(w) - i

def $un_minus(w S i) = w S i'
 -- if i' = $int_to_bitstr(w, $bitstr_to_int(w, -i))
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D i be integerLiteral:

    1. Return D -i.

  4. Else if let w W i be integerLiteral:

    1. Let int be 2 to the power of w.

    2. Let i' be int - i.

    3. Return w W i'.

  5. Else:

19.2. Binary operations

Binary operations are evaluated with:

Click to view the specification source
def $bin_op(+, value_l, value_r) = $bin_plus(value_l, value_r)

def $bin_op(|+|, value_l, value_r) = $bin_satplus(value_l, value_r)

def $bin_op(-, value_l, value_r) = $bin_minus(value_l, value_r)

def $bin_op(|-|, value_l, value_r) = $bin_satminus(value_l, value_r)

def $bin_op(*, value_l, value_r) = $bin_mul(value_l, value_r)

def $bin_op(/, value_l, value_r) = $bin_div(value_l, value_r)

def $bin_op(%, value_l, value_r) = $bin_mod(value_l, value_r)

def $bin_op(<<, value_l, value_r) = $bin_shl(value_l, value_r)

def $bin_op(>>, value_l, value_r) = $bin_shr(value_l, value_r)

def $bin_op(<=, value_l, value_r) = `B $bin_le(value_l, value_r)

def $bin_op(>=, value_l, value_r) = `B $bin_ge(value_l, value_r)

def $bin_op(<, value_l, value_r) = `B $bin_lt(value_l, value_r)

def $bin_op(>, value_l, value_r) = `B $bin_gt(value_l, value_r)

def $bin_op(==, value_l, value_r) = `B $bin_eq(value_l, value_r)

def $bin_op(!=, value_l, value_r) = `B $bin_ne(value_l, value_r)

def $bin_op(&, value_l, value_r) = $bin_band(value_l, value_r)

def $bin_op(^, value_l, value_r) = $bin_bxor(value_l, value_r)

def $bin_op(|, value_l, value_r) = $bin_bor(value_l, value_r)

def $bin_op(++, value_l, value_r) = $bin_concat(value_l, value_r)
  1. If binop is +:

    1. Return valuel + valuer.

  2. Else if binop is |+|:

  3. Else if binop is -:

    1. Return valuel - valuer.

  4. Else if binop is |-|:

  5. Else if binop is *:

    1. Return valuel * valuer.

  6. Else if binop is /:

    1. Return valuel / valuer.

  7. Else if binop is %:

    1. Return valuel % valuer.

  8. Else if binop is <<:

  9. Else if binop is >>:

  10. Else if binop is :

    1. Let bool be valuel <= valuer.

    2. Return `B bool.

  11. Else if binop is >=:

    1. Let bool be valuel >= valuer.

    2. Return `B bool.

  12. Else if binop is <:

    1. Let bool be valuel < valuer.

    2. Return `B bool.

  13. Else if binop is >:

    1. Let bool be valuel > valuer.

    2. Return `B bool.

  14. Else if binop is ==:

    1. Let bool be valuel == valuer.

    2. Return `B bool.

  15. Else if binop is !=:

    1. Let bool be valuel != valuer.

    2. Return `B bool.

  16. Else if binop is &:

    1. Return valuel & valuer.

  17. Else if binop is ^:

    1. Return valuel ^ valuer.

  18. Else if binop is |:

    1. Return valuel | valuer.

  19. Else if binop is ++:

    1. Return valuel valuer.

Addition
Click to view the specification source
def $bin_plus(D i_l, D i_r) = D i_l + i_r

def $bin_plus(w W i_l, w W i_r) = w W i'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = $int_to_bitstr(w, i_l' + i_r')

def $bin_plus(w S i_l, w S i_r) = w S i'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = $int_to_bitstr(w, i_l' + i_r')
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern D %.

    4. Let D ir be integerLiteral'.

    5. Return D il + ir.

  4. Else if let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let il' be the two’s complement representation of bitstring il of width w.

    7. Let ir' be the two’s complement representation of bitstring ir of width w.

    8. Let i be the bitstring of width w representing the integer il' + ir'.

    9. Return w W i.

  5. Else:

    1. Let w S il be integerLiteral.

    2. Check that value' has type integerLiteral.

    3. Let integerLiteral' be value'.

    4. Check that integerLiteral' matches pattern % S %.

    5. Let w' S ir be integerLiteral'.

    6. Check that w is equal to w'.

    7. Let il' be the two’s complement representation of bitstring il of width w.

    8. Let ir' be the two’s complement representation of bitstring ir of width w.

    9. Let i be the bitstring of width w representing the integer il' + ir'.

    10. Return w S i.

Saturated addition
Click to view the specification source
def $bin_satplus(w W i_l, w W i_r) = w W i'
 -- if i = i_l + i_r
 -- if i_max = $pow2(w)
 -- if i' = $ite<int>(i < i_max, i, i_max - 1)

def $bin_satplus(w S i_l, w S i_r) = w S i'''
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = i_l' + i_r'
 -- if i' > 0
 -- if w' = w - 1
 -- if i_max = $pow2(w')
 -- if i'' = $ite<int>(i' < i_max, i', i_max - 1)
 -- if i''' = $int_to_bitstr(w, i'')

def $bin_satplus(w S i_l, w S i_r) = w S i'''
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = i_l' + i_r'
 -- if i' <= 0
 -- if w' = w - 1
 -- if i_min = -$pow2(w')
 -- if i'' = $ite<int>(i' >= i_min, i', i_min)
 -- if i''' = $int_to_bitstr(w, i'')
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let i be il + ir.

    7. Let imax be 2 to the power of w.

    8. Let i' be i if i is less than imax otherwise imax - 1.

    9. Return w W i'.

  4. Else if let w S il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % S %.

    4. Let w' S ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let il' be the two’s complement representation of bitstring il of width w.

    7. Let ir' be the two’s complement representation of bitstring ir of width w.

    8. Let i be il' + ir'.

    9. If i is greater than 0:

      1. Let int be w - 1.

      2. Check that int has type nat.

      3. Let w'' be int.

      4. Let imax be 2 to the power of w''.

      5. Let i' be i if i is less than imax otherwise imax - 1.

      6. Let i'' be the bitstring of width w representing the integer i'.

      7. Return w S i''.

    10. If i is less than or equal to 0:

      1. Let int be w - 1.

      2. Check that int has type nat.

      3. Let w'' be int.

      4. Let int' be 2 to the power of w''.

      5. Let imin be -int'.

      6. Let i' be i if i is greater than or equal to imin otherwise imin.

      7. Let i'' be the bitstring of width w representing the integer i'.

      8. Return w S i''.

Subtraction
Click to view the specification source
def $bin_minus(D i_l, D i_r) = D i_l - i_r

def $bin_minus(w W i_l, w W i_r) = w W i'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = $int_to_bitstr(w, i_l' - i_r')

def $bin_minus(w S i_l, w S i_r) = w S i'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = $int_to_bitstr(w, i_l' - i_r')
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern D %.

    4. Let D ir be integerLiteral'.

    5. Return D il - ir.

  4. Else if let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let il' be the two’s complement representation of bitstring il of width w.

    7. Let ir' be the two’s complement representation of bitstring ir of width w.

    8. Let i be the bitstring of width w representing the integer il' - ir'.

    9. Return w W i.

  5. Else:

    1. Let w S il be integerLiteral.

    2. Check that value' has type integerLiteral.

    3. Let integerLiteral' be value'.

    4. Check that integerLiteral' matches pattern % S %.

    5. Let w' S ir be integerLiteral'.

    6. Check that w is equal to w'.

    7. Let il' be the two’s complement representation of bitstring il of width w.

    8. Let ir' be the two’s complement representation of bitstring ir of width w.

    9. Let i be the bitstring of width w representing the integer il' - ir'.

    10. Return w S i.

Saturated subtraction
Click to view the specification source
def $bin_satminus(w W i_l, w W i_r) = w W i'
 -- if i = i_l - i_r
 -- if i' = $ite<int>(i >= 0, i, 0)

def $bin_satminus(w S i_l, w S i_r) = w S i'''
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = i_l' - i_r'
 -- if i' > 0
 -- if w' = w - 1
 -- if i_max = $pow2(w')
 -- if i'' = $ite<int>(i' < i_max, i', i_max - 1)
 -- if i''' = $int_to_bitstr(w, i'')

def $bin_satminus(w S i_l, w S i_r) = w S i'''
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = i_l' - i_r'
 -- if i' <= 0
 -- if w' = w - 1
 -- if i_min = -$pow2(w')
 -- if i'' = $ite<int>(i' >= i_min, i', i_min)
 -- if i''' = $int_to_bitstr(w, i'')
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let i be il - ir.

    7. Let i' be i if i is greater than or equal to 0 otherwise 0.

    8. Return w W i'.

  4. Else if let w S il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % S %.

    4. Let w' S ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let il' be the two’s complement representation of bitstring il of width w.

    7. Let ir' be the two’s complement representation of bitstring ir of width w.

    8. Let i be il' - ir'.

    9. If i is greater than 0:

      1. Let int be w - 1.

      2. Check that int has type nat.

      3. Let w'' be int.

      4. Let imax be 2 to the power of w''.

      5. Let i' be i if i is less than imax otherwise imax - 1.

      6. Let i'' be the bitstring of width w representing the integer i'.

      7. Return w S i''.

    10. If i is less than or equal to 0:

      1. Let int be w - 1.

      2. Check that int has type nat.

      3. Let w'' be int.

      4. Let int' be 2 to the power of w''.

      5. Let imin be -int'.

      6. Let i' be i if i is greater than or equal to imin otherwise imin.

      7. Let i'' be the bitstring of width w representing the integer i'.

      8. Return w S i''.

Multiplication
Click to view the specification source
def $bin_mul(D i_l, D i_r) = D i_l * i_r

def $bin_mul(w W i_l, w W i_r) = w W i'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = $int_to_bitstr(w, i_l' * i_r')

def $bin_mul(w S i_l, w S i_r) = w S i'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = $int_to_bitstr(w, i_l' * i_r')
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern D %.

    4. Let D ir be integerLiteral'.

    5. Return D il * ir.

  4. Else if let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let il' be the two’s complement representation of bitstring il of width w.

    7. Let ir' be the two’s complement representation of bitstring ir of width w.

    8. Let i be the bitstring of width w representing the integer il' * ir'.

    9. Return w W i.

  5. Else:

    1. Let w S il be integerLiteral.

    2. Check that value' has type integerLiteral.

    3. Let integerLiteral' be value'.

    4. Check that integerLiteral' matches pattern % S %.

    5. Let w' S ir be integerLiteral'.

    6. Check that w is equal to w'.

    7. Let il' be the two’s complement representation of bitstring il of width w.

    8. Let ir' be the two’s complement representation of bitstring ir of width w.

    9. Let i be the bitstring of width w representing the integer il' * ir'.

    10. Return w S i.

Division
Click to view the specification source
def $bin_div(D i_l, D i_r) = D i_l / i_r
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. Check that integerLiteral matches pattern D %.

  4. Let D il be integerLiteral.

  5. Check that value' has type integerLiteral.

  6. Let integerLiteral' be value'.

  7. Check that integerLiteral' matches pattern D %.

  8. Let D ir be integerLiteral'.

  9. Return D il / ir.

Modulus
Click to view the specification source
def $bin_mod(D i_l, D i_r) = D i_l \ i_r
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. Check that integerLiteral matches pattern D %.

  4. Let D il be integerLiteral.

  5. Check that value' has type integerLiteral.

  6. Let integerLiteral' be value'.

  7. Check that integerLiteral' matches pattern D %.

  8. Let D ir be integerLiteral'.

  9. Return D il \ ir.

Shift left
Click to view the specification source
def $bin_shl(D i_l, D i_r) = D $shl(i_l, i_r)

def $bin_shl(D i_l, w_r W i_r) = D $shl(i_l, i_r)

def $bin_shl(D i_l, w_r S i_r) = D $shl(i_l, i_r')
 -- if i_r' = $bitstr_to_int(w_r, i_r)

def $bin_shl(w_l W i_l, D i_r) = $bin_shl(w_l W i_l, w_l W $bitstr_to_int(w_l, i_r))

def $bin_shl(w_l W i_l, w_r W i_r) = w_l W i'
 -- if i' = $int_to_bitstr(w_l, $shl(i_l, i_r))

def $bin_shl(w_l W i_l, w_r S i_r) = w_l W i'
 -- if i_r' = $bitstr_to_int(w_r, i_r)
 -- if i' = $int_to_bitstr(w_l, $shl(i_l, i_r'))

def $bin_shl(w_l S i_l, D i_r) = $bin_shl(w_l S i_l, w_l S $bitstr_to_int(w_l, i_r))

def $bin_shl(w_l S i_l, w_r W i_r) = w_l S i'
 -- if i_l' = $bitstr_to_int(w_l, i_l)
 -- if i' = $int_to_bitstr(w_l, $shl(i_l', i_r))

def $bin_shl(w_l S i_l, w_r S i_r) = w_l S i'
 -- if i_l' = $bitstr_to_int(w_l, i_l)
 -- if i_r' = $bitstr_to_int(w_r, i_r)
 -- if i' = $int_to_bitstr(w_l, $shl(i_l', i_r'))
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. If let D ir be integerLiteral':

      1. Let int be the left shift of il by ir.

      2. Return D int.

    4. Else if let wr W ir be integerLiteral':

      1. Let int be the left shift of il by ir.

      2. Return D int.

    5. Else:

      1. Let wr S ir be integerLiteral'.

      2. Let ir' be the two’s complement representation of bitstring ir of width wr.

      3. Let int be the left shift of il by ir'.

      4. Return D int.

  4. Else if let wl W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. If let D ir be integerLiteral':

    4. Else if let wr W ir be integerLiteral':

    5. Else:

  5. Else:

    1. Let wl S il be integerLiteral.

    2. Check that value' has type integerLiteral.

    3. Let integerLiteral' be value'.

    4. If let D ir be integerLiteral':

    5. Else if let wr W ir be integerLiteral':

    6. Else:

Shift right
Click to view the specification source
def $bin_shr(D i_l, D i_r) = D $shr(i_l, i_r)

def $bin_shr(D i_l, w_r W i_r) = D $shr(i_l, i_r)

def $bin_shr(D i_l, w_r S i_r) = D $shr(i_l, i_r')
 -- if i_r' = $bitstr_to_int(w_r, i_r)

def $bin_shr(w_l W i_l, D i_r) = $bin_shr(w_l W i_l, w_l W $bitstr_to_int(w_l, i_r))

def $bin_shr(w_l W i_l, w_r W i_r) = w_l W i'
 -- if i' = $int_to_bitstr(w_l, $shr(i_l, i_r))

def $bin_shr(w_l W i_l, w_r S i_r) = w_l W i'
 -- if i_r' = $bitstr_to_int(w_r, i_r)
 -- if i' = $int_to_bitstr(w_l, $shr(i_l, i_r'))

def $bin_shr(w_l S i_l, D i_r) = w_l S i''
 -- if i_l' = $bitstr_to_int(w_l, i_l)
 -- if i_l' < 0
 -- if w_l' = w_l - 1
 -- if i' = $shr_arith(i_l, i_r, $pow2(w_l'))
 -- if i'' = $int_to_bitstr(w_l, i')

def $bin_shr(w_l S i_l, D i_r) = w_l S i''
 -- if i_l' = $bitstr_to_int(w_l, i_l)
 -- if i_l' >= 0
 -- if i' = $shr(i_l, i_r)
 -- if i'' = $int_to_bitstr(w_l, i')

def $bin_shr(w_l S i_l, w_r W i_r) = w_l S i''
 -- if i_l' = $bitstr_to_int(w_l, i_l)
 -- if i_l' < 0
 -- if w_l' = w_l - 1
 -- if i' = $shr_arith(i_l, i_r, $pow2(w_l'))
 -- if i'' = $int_to_bitstr(w_l, i')

def $bin_shr(w_l S i_l, w_r W i_r) = w_l S i''
 -- if i_l' = $bitstr_to_int(w_l, i_l)
 -- if i_l' >= 0
 -- if i' = $shr(i_l, i_r)
 -- if i'' = $int_to_bitstr(w_l, i')

def $bin_shr(w_l S i_l, w_r S i_r) = w_l S i''
 -- if i_l' = $bitstr_to_int(w_l, i_l)
 -- if i_r' = $bitstr_to_int(w_r, i_r)
 -- if i_l' < 0
 -- if w_l' = w_l - 1
 -- if i' = $shr_arith(i_l, i_r, $pow2(w_l'))
 -- if i'' = $int_to_bitstr(w_l, i')

def $bin_shr(w_l S i_l, w_r S i_r) = w_l S i''
 -- if i_l' = $bitstr_to_int(w_l, i_l)
 -- if i_r' = $bitstr_to_int(w_r, i_r)
 -- if i_l' >= 0
 -- if i' = $shr(i_l, i_r)
 -- if i'' = $int_to_bitstr(w_l, i')
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. If let D ir be integerLiteral':

      1. Let int' be the logical right shift of il by ir.

      2. Return D int'.

    4. Else if let wr W ir be integerLiteral':

      1. Let int' be the logical right shift of il by ir.

      2. Return D int'.

    5. Else:

      1. Let wr S ir be integerLiteral'.

      2. Let ir' be the two’s complement representation of bitstring ir of width wr.

      3. Let int' be the logical right shift of il by ir'.

      4. Return D int'.

  4. Else if let wl W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. If let D ir be integerLiteral':

    4. Else if let wr W ir be integerLiteral':

    5. Else:

  5. Else:

    1. Let wl S il be integerLiteral.

    2. Check that value' has type integerLiteral.

    3. Let integerLiteral' be value'.

    4. If let D ir be integerLiteral':

      1. Let il' be the two’s complement representation of bitstring il of width wl.

      2. If il' is less than 0:

        1. Let int be wl - 1.

        2. Check that int has type nat.

        3. Let wl' be int.

        4. Let int' be 2 to the power of wl'.

        5. Let i be the arithmetic right shift of il by ir with sign extension int'.

        6. Let i' be the bitstring of width wl representing the integer i.

        7. Return wl S i'.

      3. If il' is greater than or equal to 0:

    5. Else if let wr W ir be integerLiteral':

      1. Let il' be the two’s complement representation of bitstring il of width wl.

      2. If il' is less than 0:

        1. Let int be wl - 1.

        2. Check that int has type nat.

        3. Let wl' be int.

        4. Let int' be 2 to the power of wl'.

        5. Let i be the arithmetic right shift of il by ir with sign extension int'.

        6. Let i' be the bitstring of width wl representing the integer i.

        7. Return wl S i'.

      3. If il' is greater than or equal to 0:

    6. Else:

      1. Let wr S ir be integerLiteral'.

      2. Let il' be the two’s complement representation of bitstring il of width wl.

      3. Let ir' be the two’s complement representation of bitstring ir of width wr.

      4. If il' is less than 0:

        1. Let int be wl - 1.

        2. Check that int has type nat.

        3. Let wl' be int.

        4. Let int' be 2 to the power of wl'.

        5. Let i be the arithmetic right shift of il by ir with sign extension int'.

        6. Let i' be the bitstring of width wl representing the integer i.

        7. Return wl S i'.

      5. If il' is greater than or equal to 0:

Equality and inequality
Click to view the specification source
def $bin_eq(`B b_a, `B b_b) = (b_a = b_b)

def $bin_eq(ERROR . id_a, ERROR . id_b) = (id_a = id_b)

def $bin_eq(MATCH_KIND . id_a, MATCH_KIND . id_b) = (id_a = id_b)

def $bin_eq(stringValue_a, stringValue_b) = (stringValue_a = stringValue_b)

def $bin_eq(D i_a, D i_b) = (i_a = i_b)

def $bin_eq(w_a W i_a, w_b W i_b) = (w_a = w_b) /\ (i_a = i_b)

def $bin_eq(w_a S i_a, w_b S i_b) = (w_a = w_b) /\ (i_a = i_b)

def $bin_eq(w_max_a . _ V i_a, w_max_b . _ V i_b) = (w_max_a = w_max_b) /\ (i_a = i_b)

def $bin_eq(LIST `[value_a*], LIST `[value_b*]) = |value_a*| = |value_b*| /\ $forall_($bin_eq(value_a, value_b)*)

def $bin_eq(TUPLE `(value_a*), TUPLE `(value_b*)) = |value_a*| = |value_b*| /\ $forall_($bin_eq(value_a, value_b)*)

def $bin_eq(HEADER_STACK `[value_a* `(_ ; n_size_a)], HEADER_STACK `[value_b* `(_ ; n_size_b)]) = |value_a*| = |value_b*| /\ $forall_($bin_eq(value_a, value_b)*) /\ (n_size_a = n_size_b)

def $bin_eq(STRUCT typeId_a `{fieldValue_a*}, STRUCT typeId_b `{fieldValue_b*}) = (typeId_a = typeId_b) /\ |fieldValue_a*| = |fieldValue_b*| /\ $forall_($bin_eq(value_field_a, value_field_b)*) /\ $forall_((nameIR_field_a = nameIR_field_b)*)
 -- (if (value_field_a nameIR_field_a ; = fieldValue_a))*
 -- (if (value_field_b nameIR_field_b ; = fieldValue_b))*

def $bin_eq(HEADER typeId_a `{_ ; fieldValue_a*}, HEADER typeId_b `{_ ; fieldValue_b*}) = (typeId_a = typeId_b) /\ |fieldValue_a*| = |fieldValue_b*| /\ $forall_($bin_eq(value_field_a, value_field_b)*) /\ $forall_((nameIR_field_a = nameIR_field_b)*)
 -- (if (value_field_a nameIR_field_a ; = fieldValue_a))*
 -- (if (value_field_b nameIR_field_b ; = fieldValue_b))*

def $bin_eq(HEADER_UNION typeId_a `{fieldValue_a*}, HEADER_UNION typeId_b `{fieldValue_b*}) = (typeId_a = typeId_b) /\ |fieldValue_a*| = |fieldValue_b*| /\ $forall_($bin_eq(value_field_a, value_field_b)*) /\ $forall_((nameIR_field_a = nameIR_field_b)*)
 -- (if (value_field_a nameIR_field_a ; = fieldValue_a))*
 -- (if (value_field_b nameIR_field_b ; = fieldValue_b))*

def $bin_eq(typeId_a . nameIR_field_a, typeId_b . nameIR_field_b) = (typeId_a = typeId_b) /\ (nameIR_field_a = nameIR_field_b)

def $bin_eq(typeId_a . _ . value_field_a, typeId_b . _ . value_field_b) = (typeId_a = typeId_b) /\ $bin_eq(value_field_a, value_field_b)

def $bin_eq({#}, {#}) = true
  1. If let `B ba be value:

    1. Check that value' has type boolValue.

    2. Let `B bb be value'.

    3. Return ba is equal to bb.

  2. Else if let ERROR . ida be value:

    1. Check that value' has type errorValue.

    2. Let ERROR . idb be value'.

    3. Return ida is equal to idb.

  3. Else if let MATCH_KIND . ida be value:

    1. Check that value' has type matchKindValue.

    2. Let MATCH_KIND . idb be value'.

    3. Return ida is equal to idb.

  4. Else if let stringValuea be value:

    1. Check that value' has type stringValue.

    2. Let stringValueb be value'.

    3. Return stringValuea is equal to stringValueb.

  5. Else if let integerLiteral be value:

    1. If let D ia be integerLiteral:

      1. Check that value' has type integerLiteral.

      2. Let integerLiteral' be value'.

      3. Check that integerLiteral' matches pattern D %.

      4. Let D ib be integerLiteral'.

      5. Return ia is equal to ib.

    2. Else if let wa W ia be integerLiteral:

      1. Check that value' has type integerLiteral.

      2. Let integerLiteral' be value'.

      3. Check that integerLiteral' matches pattern % W %.

      4. Let wb W ib be integerLiteral'.

      5. Return wa is equal to wb and ia is equal to ib.

    3. Else:

      1. Let wa S ia be integerLiteral.

      2. Check that value' has type integerLiteral.

      3. Let integerLiteral' be value'.

      4. Check that integerLiteral' matches pattern % S %.

      5. Let wb S ib be integerLiteral'.

      6. Return wa is equal to wb and ia is equal to ib.

  6. Else if let LIST [ valuea* ] be value:

    1. Check that value' has type listValue.

    2. Let LIST [ valueb* ] be value'.

    3. Let bool'* be the list and bool'** be the list obtained by repeating:

      for each valuea in valuea* and valueb in valueb*

    4. Let bool be all bool'* are true.

    5. Return the length of valuea* is equal to the length of valueb* and bool.

  7. Else if let TUPLE ( valuea* ) be value:

    1. Check that value' has type tupleValue.

    2. Let TUPLE ( valueb* ) be value'.

    3. Let bool'* be the list and bool'** be the list obtained by repeating:

      for each valuea in valuea* and valueb in valueb*

    4. Let bool be all bool'* are true.

    5. Return the length of valuea* is equal to the length of valueb* and bool.

  8. Else if let HEADER_STACK [ valuea* ( _ ; nsize_a ) ] be value:

    1. Check that value' has type headerStackValue.

    2. Let HEADER_STACK [ valueb* ( _ ; nsize_b ) ] be value'.

    3. Let bool'* be the list and bool'** be the list obtained by repeating:

      for each valuea in valuea* and valueb in valueb*

    4. Let bool be all bool'* are true.

    5. Return the length of valuea* is equal to the length of valueb* and bool and nsize_a is equal to nsize_b.

  9. Else if let STRUCT typeIda { fieldValuea* } be value:

    1. Check that value' has type structValue.

    2. Let STRUCT typeIdb { fieldValueb* } be value'.

    3. Let nameIRfield_a* be the list and valuefield_a* be the list obtained by repeating:

      • Let valuefield_a nameIRfield_a ; be fieldValuea.

      for each fieldValuea in fieldValuea*

    4. Let nameIRfield_b* be the list and valuefield_b* be the list obtained by repeating:

      • Let valuefield_b nameIRfield_b ; be fieldValueb.

      for each fieldValueb in fieldValueb*

    5. Let bool'* be the list and bool'** be the list obtained by repeating:

      for each valuefield_a in valuefield_a* and valuefield_b in valuefield_b*

    6. Let bool be all bool'* are true.

    7. Let bool'' be all ( nameIRfield_a = nameIRfield_b )* are true.

    8. Return typeIda is equal to typeIdb and the length of fieldValuea* is equal to the length of fieldValueb* and bool and bool''.

  10. Else if let HEADER typeIda { _ ; fieldValuea* } be value:

    1. Check that value' has type headerValue.

    2. Let HEADER typeIdb { _ ; fieldValueb* } be value'.

    3. Let nameIRfield_a* be the list and valuefield_a* be the list obtained by repeating:

      • Let valuefield_a nameIRfield_a ; be fieldValuea.

      for each fieldValuea in fieldValuea*

    4. Let nameIRfield_b* be the list and valuefield_b* be the list obtained by repeating:

      • Let valuefield_b nameIRfield_b ; be fieldValueb.

      for each fieldValueb in fieldValueb*

    5. Let bool'* be the list and bool'** be the list obtained by repeating:

      for each valuefield_a in valuefield_a* and valuefield_b in valuefield_b*

    6. Let bool be all bool'* are true.

    7. Let bool'' be all ( nameIRfield_a = nameIRfield_b )* are true.

    8. Return typeIda is equal to typeIdb and the length of fieldValuea* is equal to the length of fieldValueb* and bool and bool''.

  11. Else if let HEADER_UNION typeIda { fieldValuea* } be value:

    1. Check that value' has type headerUnionValue.

    2. Let HEADER_UNION typeIdb { fieldValueb* } be value'.

    3. Let nameIRfield_a* be the list and valuefield_a* be the list obtained by repeating:

      • Let valuefield_a nameIRfield_a ; be fieldValuea.

      for each fieldValuea in fieldValuea*

    4. Let nameIRfield_b* be the list and valuefield_b* be the list obtained by repeating:

      • Let valuefield_b nameIRfield_b ; be fieldValueb.

      for each fieldValueb in fieldValueb*

    5. Let bool'* be the list and bool'** be the list obtained by repeating:

      for each valuefield_a in valuefield_a* and valuefield_b in valuefield_b*

    6. Let bool be all bool'* are true.

    7. Let bool'' be all ( nameIRfield_a = nameIRfield_b )* are true.

    8. Return typeIda is equal to typeIdb and the length of fieldValuea* is equal to the length of fieldValueb* and bool and bool''.

  12. Else if let enumValue be value:

    1. If let typeIda . nameIRfield_a be enumValue:

      1. Check that value' has type enumValue.

      2. Let enumValue' be value'.

      3. Check that enumValue' matches pattern % . %.

      4. Let typeIdb . nameIRfield_b be enumValue'.

      5. Return typeIda is equal to typeIdb and nameIRfield_a is equal to nameIRfield_b.

    2. Else:

      1. Let typeIda . _ . valuefield_a be enumValue.

      2. Check that value' has type enumValue.

      3. Let enumValue' be value'.

      4. Check that enumValue' matches pattern % . % . %.

      5. Let typeIdb . _ . valuefield_b be enumValue'.

      6. Let bool be valuefield_a == valuefield_b.

      7. Return typeIda is equal to typeIdb and bool.

  13. Else if let invalidHeaderValue be value:

    1. Check that value' has type invalidHeaderValue.

    2. Let invalidHeaderValue' be value'.

    3. Return true.

  14. If let integerValue be value:

    1. Check that integerValue matches pattern % . % V %.

    2. Let wmax_a . _ V ia be integerValue.

    3. Check that value' has type integerValue.

    4. Let integerValue' be value'.

    5. Check that integerValue' matches pattern % . % V %.

    6. Let wmax_b . _ V ib be integerValue'.

    7. Return wmax_a is equal to wmax_b and ia is equal to ib.

Click to view the specification source
def $bin_ne(value_l, value_r) = ~$bin_eq(value_l, value_r)
  1. Let bool be valuel == valuer.

  2. Return ~bool.

Comparisons
Click to view the specification source
def $bin_lt(D i_l, D i_r) = i_l < i_r

def $bin_lt(w W i_l, w W i_r) = i_l < i_r

def $bin_lt(w S i_l, w S i_r) = i_l' < i_r'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern D %.

    4. Let D ir be integerLiteral'.

    5. Return il is less than ir.

  4. Else if let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Return il is less than ir.

  5. Else:

    1. Let w S il be integerLiteral.

    2. Check that value' has type integerLiteral.

    3. Let integerLiteral' be value'.

    4. Check that integerLiteral' matches pattern % S %.

    5. Let w' S ir be integerLiteral'.

    6. Check that w is equal to w'.

    7. Let il' be the two’s complement representation of bitstring il of width w.

    8. Let ir' be the two’s complement representation of bitstring ir of width w.

    9. Return il' is less than ir'.

Click to view the specification source
def $bin_le(D i_l, D i_r) = i_l <= i_r

def $bin_le(w W i_l, w W i_r) = i_l <= i_r

def $bin_le(w S i_l, w S i_r) = i_l' <= i_r'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern D %.

    4. Let D ir be integerLiteral'.

    5. Return il is less than or equal to ir.

  4. Else if let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Return il is less than or equal to ir.

  5. Else:

    1. Let w S il be integerLiteral.

    2. Check that value' has type integerLiteral.

    3. Let integerLiteral' be value'.

    4. Check that integerLiteral' matches pattern % S %.

    5. Let w' S ir be integerLiteral'.

    6. Check that w is equal to w'.

    7. Let il' be the two’s complement representation of bitstring il of width w.

    8. Let ir' be the two’s complement representation of bitstring ir of width w.

    9. Return il' is less than or equal to ir'.

Click to view the specification source
def $bin_gt(D i_l, D i_r) = i_l > i_r

def $bin_gt(w W i_l, w W i_r) = i_l > i_r

def $bin_gt(w S i_l, w S i_r) = i_l' > i_r'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern D %.

    4. Let D ir be integerLiteral'.

    5. Return il is greater than ir.

  4. Else if let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Return il is greater than ir.

  5. Else:

    1. Let w S il be integerLiteral.

    2. Check that value' has type integerLiteral.

    3. Let integerLiteral' be value'.

    4. Check that integerLiteral' matches pattern % S %.

    5. Let w' S ir be integerLiteral'.

    6. Check that w is equal to w'.

    7. Let il' be the two’s complement representation of bitstring il of width w.

    8. Let ir' be the two’s complement representation of bitstring ir of width w.

    9. Return il' is greater than ir'.

Click to view the specification source
def $bin_ge(D i_l, D i_r) = i_l >= i_r

def $bin_ge(w W i_l, w W i_r) = i_l >= i_r

def $bin_ge(w S i_l, w S i_r) = i_l' >= i_r'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let D il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern D %.

    4. Let D ir be integerLiteral'.

    5. Return il is greater than or equal to ir.

  4. Else if let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Return il is greater than or equal to ir.

  5. Else:

    1. Let w S il be integerLiteral.

    2. Check that value' has type integerLiteral.

    3. Let integerLiteral' be value'.

    4. Check that integerLiteral' matches pattern % S %.

    5. Let w' S ir be integerLiteral'.

    6. Check that w is equal to w'.

    7. Let il' be the two’s complement representation of bitstring il of width w.

    8. Let ir' be the two’s complement representation of bitstring ir of width w.

    9. Return il' is greater than or equal to ir'.

Bitwise
Click to view the specification source
def $bin_band(w W i_l, w W i_r) = w W i'
 -- if i' = $int_to_bitstr(w, $band(i_l, i_r))

def $bin_band(w S i_l, w S i_r) = w S i'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = $int_to_bitstr(w, $band(i_l', i_r'))
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let int be the bitwise and of il and ir.

    7. Let i be the bitstring of width w representing the integer int.

    8. Return w W i.

  4. Else if let w S il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % S %.

    4. Let w' S ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let il' be the two’s complement representation of bitstring il of width w.

    7. Let ir' be the two’s complement representation of bitstring ir of width w.

    8. Let int be the bitwise and of il' and ir'.

    9. Let i be the bitstring of width w representing the integer int.

    10. Return w S i.

Click to view the specification source
def $bin_bor(w W i_l, w W i_r) = w W i'
 -- if i' = $int_to_bitstr(w, $bor(i_l, i_r))

def $bin_bor(w S i_l, w S i_r) = w S i'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = $int_to_bitstr(w, $bor(i_l', i_r'))
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let int be the bitwise or of il and ir.

    7. Let i be the bitstring of width w representing the integer int.

    8. Return w W i.

  4. Else if let w S il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % S %.

    4. Let w' S ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let il' be the two’s complement representation of bitstring il of width w.

    7. Let ir' be the two’s complement representation of bitstring ir of width w.

    8. Let int be the bitwise or of il' and ir'.

    9. Let i be the bitstring of width w representing the integer int.

    10. Return w S i.

Click to view the specification source
def $bin_bxor(w W i_l, w W i_r) = w W i'
 -- if i' = $int_to_bitstr(w, $bxor(i_l, i_r))

def $bin_bxor(w S i_l, w S i_r) = w S i'
 -- if i_l' = $bitstr_to_int(w, i_l)
 -- if i_r' = $bitstr_to_int(w, i_r)
 -- if i' = $int_to_bitstr(w, $bxor(i_l', i_r'))
  1. Check that value has type integerLiteral.

  2. Let integerLiteral be value.

  3. If let w W il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % W %.

    4. Let w' W ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let int be the bitwise xor of il and ir.

    7. Let i be the bitstring of width w representing the integer int.

    8. Return w W i.

  4. Else if let w S il be integerLiteral:

    1. Check that value' has type integerLiteral.

    2. Let integerLiteral' be value'.

    3. Check that integerLiteral' matches pattern % S %.

    4. Let w' S ir be integerLiteral'.

    5. Check that w is equal to w'.

    6. Let il' be the two’s complement representation of bitstring il of width w.

    7. Let ir' be the two’s complement representation of bitstring ir of width w.

    8. Let int be the bitwise xor of il' and ir'.

    9. Let i be the bitstring of width w representing the integer int.

    10. Return w S i.

19.3. Default values

Some P4 types define a default value, which can be used to automatically initialize values of that type. The high-level description of default values are as follows:

  • For int, bit<N> and int<N> types the default value is 0.

  • For bool the default value is false.

  • For error the default value is error.NoError (defined in core.p4)

  • For string the default value is the empty string ""

  • For varbit<N> the default value is a string of zero bits (there is currently no P4 literal to represent such a value).

  • For enum values with an underlying type the default value is 0, even if 0 is actually not one of the named values in the enum.

  • For enum values without an underlying type the default value is the first value that appears in the enum type declaration.

  • For header types the default value is invalid.

  • For header stacks the default value is that all elements are invalid and the nextIndex is 0.

  • For header_union values the default value is that all union elements are invalid.

  • For struct types the default value is a struct where each field has the default value of the suitable field type — if all such default values are defined.

  • For a tuple type the default value is a tuple where each field has the default value of the suitable type — if all such default values are defined.

Note that some types do not have default values, e.g., match_kind, set types, function types, extern types, parser types, control types, and package types.

Default values are derived from:

Click to view the specification source
dec $default(typeIR) : value
Click to view the specification source
def $default(BOOL) = `B false

def $default(ERROR) = ERROR . "NoError"

def $default(STRING) = " text_empty "
 -- if text_empty = ""

def $default(INT) = D 0

def $default(BIT `<w>) = w W 0

def $default(INT `<w>) = w S 0

def $default(VARBIT `<w>) = w . 0 V 0

def $default(TYPEDEF _ typeIR) = $default(typeIR)

def $default(TYPE _ typeIR) = $default(typeIR)

def $default(TUPLE `<typeIR*>) = TUPLE `($default(typeIR)*)

def $default(typeIR `[n_s]) = HEADER_STACK `[value* `(0 ; n_s)]
 -- if value* = $repeat_<value>($default(typeIR), n_s)

def $default(STRUCT typeId `<_> `{(_ typeIR_f id_f ;)*}) = STRUCT typeId `{($default(typeIR_f) id_f ;)*}

def $default(HEADER typeId `<_> `{(_ typeIR_f id_f ;)*}) = HEADER typeId `{false ; ($default(typeIR_f) id_f ;)*}

def $default(HEADER_UNION typeId `<_> `{(_ typeIR_f id_f ;)*}) = HEADER_UNION typeId `{($default(typeIR_f) id_f ;)*}

def $default(ENUM typeId `{id_f_h :: _}) = typeId . id_f_h

def $default(ENUM typeId `<typeIR> `{(nameIR_field = value_field ;)*}) = typeId . id_zero . value_zero
 -- if value_zero = $cast_int(typeIR, D 0)
 -- if id_zero = $assoc_<value, id>(value_zero, (value_field, nameIR_field)*)

def $default(ENUM typeId `<typeIR> `{(nameIR_field = value_field ;)*}) = typeId . id_zero . value_zero
 -- if value_zero = $cast_int(typeIR, D 0)
 -- if eps = $assoc_<value, id>(value_zero, (value_field, nameIR_field)*)
 -- if id_zero = "__UNSPECIFIED"
  1. If let boolTypeIR be typeIR:

    1. Return `B false.

  2. Else if let errorTypeIR be typeIR:

    1. Return ERROR . "NoError".

  3. Else if let stringTypeIR be typeIR:

    1. Let textempty be "".

    2. Return " textempty ".

  4. Else if let intTypeIR be typeIR:

    1. Return D 0.

  5. Else if let BIT < w > be typeIR:

    1. Return w W 0.

  6. Else if let INT < w > be typeIR:

    1. Return w S 0.

  7. Else if let VARBIT < w > be typeIR:

    1. Return w . 0 V 0.

  8. Else if let TYPEDEF _ typeIR' be typeIR:

  9. Else if let TYPE _ typeIR' be typeIR:

  10. Else if let TUPLE < typeIR'* > be typeIR:

    1. Let value'* be the list obtained by repeating:

      for each typeIR' in typeIR'*

    2. Return TUPLE ( value'* ).

  11. Else if let typeIR' [ ns ] be typeIR:

    1. Let value' be the default value for type typeIR'.

    2. Let value* be a list of ns copies of value'.

    3. Return HEADER_STACK [ value* ( 0 ; ns ) ].

  12. Else if let STRUCT typeId < _* > { ( _ typeIRf idf ; )* } be typeIR:

    1. Let value'* be the list obtained by repeating:

      for each typeIRf in typeIRf*

    2. Return STRUCT typeId { ( value' idf ; )* }.

  13. Else if let HEADER typeId < _* > { ( _ typeIRf idf ; )* } be typeIR:

    1. Let value'* be the list obtained by repeating:

      for each typeIRf in typeIRf*

    2. Return HEADER typeId { false ; ( value' idf ; )* }.

  14. Else if let HEADER_UNION typeId < _* > { ( _ typeIRf idf ; )* } be typeIR:

    1. Let value'* be the list obtained by repeating:

      for each typeIRf in typeIRf*

    2. Return HEADER_UNION typeId { ( value' idf ; )* }.

  15. Else if let ENUM typeId { id* } be typeIR:

    1. Check that id* is a non-empty list.

    2. Let idf_h :: _* be id*.

    3. Return typeId . idf_h.

  16. Else if let ENUM typeId < typeIR' > { ( nameIRfield = valuefield ; )* } be typeIR:

    1. Let valuezero be D 0 casted to type typeIR'.

    2. Let id? be the value associated to valuezero in ( valuefield, nameIRfield )*.

    3. If let idzero be id?:

      1. Return typeId . idzero . valuezero.

    4. If · is equal to the value associated to valuezero in ( valuefield, nameIRfield )*:

      1. Let idzero be "__UNSPECIFIED".

      2. Return typeId . idzero . valuezero.

20. Annotations

Annotations are a simple mechanism for extending the P4 language to some limited degree without changing the grammar. Annotations are attached to types, fields, variables, etc. using the @ syntax (as shown explicitly in the P4 grammar). Unstructured annotations, or just "annotations," have an optional body; structured annotations have a mandatory body, containing at least a pair of square brackets [].

annotationBody
   : /* empty */
   | annotationBody `( annotationBody )
   | annotationBody annotationToken
   ;

structuredAnnotationBody
   : sequenceOrRecordElementExpression trailingCommaOpt
   ;

annotation
   : @ name
   | @ name `( annotationBody )
   | @ name `[ structuredAnnotationBody ]
   | @ PRAGMA name annotationBody
   ;

Structured annotations and unstructured annotations on any one element must not use the same name. Thus, a given name can only be applied to one type of annotation or the other for any one element. An annotation used on one element does not affect the annotation on another because they have different scope.

This is legal:

@my_anno(1) table T { /* body omitted */ }
@my_anno[2] table U { /* body omitted */ } // OK - different scope than previous
                                           // use of my_anno

This is illegal:

@my_anno(1)
@my_anno[2] table U { /* body omitted */ } // Error - changed type of anno
                                           // on an element

Multiple unstructured annotations using the same name can appear on a given element; they are cumulative. Each one will be bound to that element. In contrast, only one structured annotation using a given name may appear on an element; multiple uses of the same name will produce an error.

This is legal:

@my_anno(1)
@my_anno(2) table U { /* body omitted */ }  // OK - unstructured annos accumulate

This is illegal:

@my_anno[1]
@my_anno[2] table U { /* body omitted */ } // Error - reused the same structured
                                           // anno on an element

20.1. Bodies of Unstructured Annotations

The flexibility of P4 unstructured annotations comes from the minimal structure mandated by the P4 grammar: unstructured annotation bodies may contain any sequence of terminals, so long as parentheses are balanced. In the following grammar fragment, the annotationToken non-terminal represents any terminal produced by the lexer, including keywords, identifiers, string and integer literals, and symbols, but excluding parentheses.

annotationBody
   : /* empty */
   | annotationBody `( annotationBody )
   | annotationBody annotationToken
   ;

Unstructured annotations may impose additional structure on their bodies, and are not confined to the P4 language. For example, the P4Runtime specification [2] defines a @pkginfo annotation that expects key-value pairs. === Bodies of Structured Annotations

Unlike unstructured annotations, structured annotations use square brackets […​] and have a restricted format. They are commonly used to declare custom metadata, consisting of expression lists or key-value lists but not both. An expressionList may be empty or contain a comma-separated list of member expressions. A namedExpressionList consists of one or more namedExpressions, each consisting of a key and a value expression. Note the syntax for expression is rich, see Appendix E for details.

All expressions within a structuredAnnotationBody must be compile-time known values with a result type that is either: string, int, or bool. In particular, structured expressions (e.g. an expression containing an expressionList, a namedExpressionList, etc.) are not allowed. Note that P4Runtime information (P4Info) may stipulate additional restrictions. For example, an integer expression might be limited to 64-bit values.

It is illegal to duplicate a name within the namedExpressionList of a structured annotation.

structuredAnnotationBody
   : sequenceOrRecordElementExpression trailingCommaOpt
   ;

sequenceOrRecordElementExpression
   : sequenceElementExpression
   | recordElementExpression
   ;

sequenceElementExpression = expressionList

recordElementExpression
   : name = expression
   | name = expression , ...
   | name = expression , namedExpressionList
   | name = expression , namedExpressionList , ...
   ;

namedExpression
   : name = expression
   ;

20.1.1. Structured Annotation Examples

Empty Expression List

The following example produces an empty annotation:

@Empty[]
table t {
    /* body omitted */
}

Mixed Expression List

The following example will produce an effective expression list as follows:

[1,"hello",true, false, 11]
#define TEXT_CONST "hello"
#define NUM_CONST 6
@MixedExprList[1,TEXT_CONST,true,1==2,5+NUM_CONST]
table t {
    /* body omitted */
}

namedExprssionList of Strings

@Labels[short="Short Label", hover="My Longer Table Label to appear in hover-help"]
table t {
    /* body omitted */
}

namedExpressionList of Mixed Expressions

The following example will produce an effective namedExpressionList as follows.

[label="text", my_bool=true, int_val=6]
@MixedKV[label="text", my_bool=true, int_val=2*3]
table t {
    /* body omitted */
}

Illegal Mixing of namedExpression and expressionList

The following example is invalid because the body contains both a namedExpression and an expression:

@IllegalMixing[key=4, 5] // illegal mixing
table t {
    /* body omitted */
}

Illegal Duplicate Key

The following example is invalid because the same key occurs more than once:

@DupKey[k1=4,k1=5] // illegal duplicate key
table t {
    /* body omitted */
}

Illegal Duplicate Structured Annotation

The following example is invalid because the annotation name occurs more than once on the same element, e.g. table t:

@DupAnno[k1=4]
@DupAnno[k2=5] // illegal duplicate name
table t {
    /* body omitted */
}

Illegal Simultaneous Use of Both Structured and Unstructured Annotation

The following example is invalid because the annotation name is used by both an unstructured and structured annotation on the same element table t:

@MixAnno("Anything")
@MixAnno[k2=5] // illegal use in both annotation types
table t {
    /* body omitted */
}

20.2. Predefined annotations

Annotation names that start with lowercase letters are reserved for the standard library and architecture. This document pre-defines a set of "standard" annotations in Appendix C. We expect that this list will grow. We encourage custom architectures to define annotations starting with a manufacturer prefix: e.g., an organization named X would use annotations named like @X_annotation

20.2.1. Optional parameter annotations

A parameter to a package, parser type, control type, extern method, extern function or extern object constructor can be annotated with @optional to indicate that the user does not need to provide a corresponding argument for that parameter. The meaning of a parameter with no supplied value is target-dependent.

20.2.2. Annotations on the table action list

The following two annotations can be used to give additional information to the compiler and control-plane about actions in a table. These annotations have no bodies.

  • @tableonly: actions with this annotation can only appear within the table, and never as default action.

  • @defaultonly: actions with this annotation can only appear in the default action, and never in the table.

table t {
    actions = {
       a,              // can appear anywhere
       @tableonly b,   // can only appear in the table
       @defaultonly c, // can only appear in the default action
    }
    /* body omitted */
}

20.2.3. Control-plane API annotations

The @name annotation directs the compiler to use a different local name when generating the external APIs used to manipulate a language element from the control plane. This annotation takes a local compile-time known value of type string (typically a string literal). In the following example, the fully-qualified name of the table is c_inst.t1.

control c( /* parameters omitted */ )() {
    @name("t1") table t { /* body omitted */ }
    apply { /* body omitted */ }
}
c() c_inst;

The @hidden annotation hides a controllable entity, e.g. a table, key, action, or extern, from the control plane. This effectively removes its fully-qualified name (Section 10.1.1). This annotation does not have a body.

20.2.3.1. Restrictions

Each element may be annotated with at most one @name or @hidden annotation, and each control plane name must refer to at most one controllable entity. This is of special concern when using an absolute @name annotation: if a type containing a @name annotation with an absolute pathname (i.e., one starting with a dot) is instantiated more than once, it will result in the same name referring to two controllable entities.

control noargs();
package top(noargs c1, noargs c2);

control c() {
    @name(".foo.bar") table t { /* body omitted */ }
    apply { /* body omitted */ }
}
top(c(), c()) main;

Without the @name annotation, this program would produce two controllable entities with fully-qualified names main.c1.t and main.c2.t. However, the @name(".foo.bar") annotation renames table t in both instances to foo.bar, resulting in one name that refers to two controllable entities, which is illegal.

20.2.4. Concurrency control annotations

The @atomic annotation, described in Section 7.4.5 can be used to enforce the atomic execution of a code block.

20.2.5. Branch prediction annotations

The @likely and @unlikely annotation can be used on blocks that are used in if-else or switch statements to hint when a branch is likely or unlikely to be taken.

if (error_failure) @unlikely {
    /* code that is unlikely to execute as the condition is probably false */
}

switch(value) {
    1: @likely {
        /* code for the most common case */
       }
    2: { /* ... */ }
    default: @unlikely {
        /* code for rare case */
    }
}

These annotations have no effect on the semantics of the program; they are just hints to help an optimizer. A warning may be issued if a @likely block is found to never execute or an @unlikely block will always execute, but is not required.

20.2.6. Value set annotations

The @match annotation, described in Section 15.6, is used to specify a match_kind value other than the default match_kind of exact for a field of a value_set.

20.2.7. Extern function/method annotations

Various annotations may appear on extern function and method declarations to describe limitations on the behavior and interactions of those functions. By default extern functions might have any effect on the environment of the P4 program and might interact in non-trivial ways (subject to a few limitations — see [sec-calling-convention]). Since externs are architecture-specific and their behavior is known to the architecture definition, these annotations are not strictly necessary (an implementation can have knowledge of how externs interact based on their names built into it), but these annotations provide a uniform way of describing certain well-defined interactions (or their absence), allowing architecture-independent analysis of P4 programs.

  • @pure - Describes a function that depends solely on its in parameter values, and has no effect other than returning a value, and copy-out behavior on its out and inout parameters. No hidden state is recorded between calls, and its value does not depend on any hidden state that may be changed by other calls. An example is a hash function that computes a deterministic hash of its arguments, and its return value does not depend upon any control-plane writable seed or initialization vector value. A @pure function whose results are unused may be safely eliminated with no adverse effects, and multiple calls with identical arguments may be combined into a single call (subject to the limits imposed by copy-out behavior of out and inout parameters). @pure functions may also be reordered with respect to other computations that are not data dependent.

  • @noSideEffects - Weaker than @pure and describes a function that does not change any hidden state, but may depend on hidden state. One example is a hash function that computes a deterministic hash of its arguments, plus some internal state that can be modified via control plane API calls such as a seed or initialization vector. Another example is a read of one element of a register array extern object. Such a function may be dead code eliminated, and may be reordered or combined with other @noSideEffects or @pure calls (subject to the limits imposed by copy-out behavior of out and inout parameters), but not with other function calls that may have side effects that affect the function.

20.2.8. Deprecated annotation

The deprecated annotation has a required string argument that is a message that will be printed by a compiler when a program is using the deprecated construct. This is mostly useful for annotating library constructs, such as externs. The parameter must be a local compile-time known value of type string.

#define DEPR_V1_2_2 "Deprecated in v1.2.2"
@deprecated("Please use the 'check' function instead." ++ DEPR_V1_2_2)
extern Checker {
   /* body omitted */
}

20.2.9. No warnings annotation

The noWarn annotation has a required string argument that indicates a compiler warning that will be inhibited. For example @noWarn("unused") on a declaration will prevent a compiler warning if that declaration is not used. The parameter must be a local compile-time known value of type string. === Target-specific annotations

Each P4 compiler implementation can define additional annotations specific to the target of the compiler. The syntax of the annotations should conform to the above description. The semantics of such annotations is target-specific. They could be used in a similar way to pragmas in other languages.

The P4 compiler should provide:

  • Errors when annotations are used incorrectly (e.g., an annotation expecting a parameter but used without arguments, or with arguments of the wrong type)

  • Warnings for unknown annotations.

Appendix A: Revision History

A.1. Summary of changes made in unreleased version

  • Clarified that numeric priorities cannot be assigned to entries of a table that has const entries ([sec-entries]).

  • Clarified that switch statements are allowed in action and function bodies, and that switch statements with action_run expressions are only allowed in control apply blocks ([sec-stmts] and [sec-switch-stmt]).

  • Added standard branch prediction annotations (Section 20.2.5)

  • Added support for compile-time string concatenation using ++ operator ([sec-string-type] and [sec-string-ops]).

  • Added compound assignment statements ([sec-assignment])

  • Update the specification grammar for for loops to match the grammar used in the p4c implementation ([sec-loop-stmt]).

A.2. Summary of changes made in version 1.2.5, released October 11, 2024

  • Improved type nesting rules ([sec-type-nesting]).

  • Clarified that directionless extern parameters are passed by reference.

  • Introduced distinction between local compile-time known and compile-time known values (Section 7.5).

A.3. Summary of changes made in version 1.2.4,released May 15, 2023

A.4. Summary of changes made in version 1.2.3, released July 11, 2022.

A.5. Summary of changes made in version 1.2.2, released May 17, 2021

A.6. Summary of changes made in version 1.2.1, released June 11, 2020

A.7. Summary of changes made in version 1.2.0, released October 14, 2019

  • Added table.apply().miss ([sec-invoke-mau]).

  • Added string type ([sec-string-type]).

  • Added implicit casts from enum values ([sec-enum-exprs]).

  • Allow 1-bit signed values

  • Define the type of bit slices from signed and unsigned values to be unsigned.

  • Constrain default label position for switch statements.

  • Allow empty tuples.

  • Added @deprecated annotation.

  • Relaxed the structure of annotation bodies.

  • Removed the @pkginfo annotation, which is now defined by the P4Runtime specification.

  • Added int type ([sec-arbitrary-precision-integers]).

  • Added error ParserInvalidArgument ([sec-packet-extract-two], Section 15.8.4).

  • Clarified the significance of order of entries in const entries ([sec-entries]).

  • Added methods to calculate header size ([sec-ops-on-hdrs]).

A.8. Summary of changes made in version 1.1.0, released November 26, 2017.

  • Top-level functions ([sec-functions])

    • Functions may be declared at the top-level of a P4 program.

  • Optional and named parameters ([sec-calling-convention])

    • Parameters may be specified by name, with a default value, or designated as optional.

  • enum representations ([sec-enum-exprs])

    • enum values to be specified with a concrete representation.

  • Parser values sets ([sec-value-set])

    • value_set objects for control-plane programmable select labels.

  • Type definitions (Section 8.5.8)

    • New types may be introduced in programs.

  • Saturating arithmetic ([sec-bit-ops])

    • Saturating arithmetic is supported on some targets.

  • Structured annotations ([sec-annotations])

    • Annotations may be specified as lists of key-value pairs

  • Globalname ([sec-name-annotations])

    • The reserved globalname annotation has been removed.

  • Table size property ([sec-size-table-property])

    • Meaning of optional size property for tables has been defined.

  • Invalid headers ([sec-ops-on-hdrs])

    • Clarified semantics of operations on invalid headers.

  • Calling restrictions ([sec-calling-restrictions])

    • Added restrictions on kinds of values that may be passed as arguments to calls.

  • Bitwise operator precedence (Appendix E)

    • Modified precedence conventions so that bitwise operators & | and ^ have higher precedence than relation operators < > <= >=.

  • Computed bitwidths ([sec-base-types])

    • Added support for specifying widths using expressions in bit and varbit types.

A.9. Initial version 1.0.0, released May 17, 2017

Appendix B: P4 reserved keywords

The following table shows all P4 reserved keywords. Some identifiers are treated as keywords only in specific contexts (e.g., the keyword actions).

abstract

action

apply

bit

bool

const

control

default

else

enum

error

extern

exit

false

header

header_union

if

in

inout

int

list

match_kind

package

parser

out

return

select

state

string

struct

switch

table

this

transition

true

tuple

type

typedef

value_set

varbit

verify

void

Appendix C: P4 reserved annotations

The following table shows all P4 reserved annotations.

Annotation Purpose See Section

atomic

specify atomic execution

[sec-concurrency]

defaultonly

action can only appear in the default action

[sec-annotations]

hidden

hides a controllable entity from the control plane

[sec-name-annotations]

match

specify match_kind of a field in a value_set

[sec-value-set]

name

assign local control-plane name

[sec-name-annotations]

optional

parameter is optional

[sec-optional-parameters]

tableonly

action cannot be a default_action

[sec-annotations]

deprecated

Construct has been deprecated

Section 20.2.8

pure

pure function

Section 20.2.7

noSideEffects

function with no side effects

Section 20.2.7

noWarn

Has a string argument; inhibits compiler warnings

Section 20.2.9

Appendix D: P4 core library

The P4 core library contains declarations that are useful to most programs.

For example, the core library includes the declarations of the predefined packet_in and packet_out extern objects, used in parsers and deparsers to access packet data.

/// Standard error codes.  New error codes can be declared by users.
error {
    NoError,           /// No error.
    PacketTooShort,    /// Not enough bits in packet for 'extract'.
    NoMatch,           /// 'select' expression has no matches.
    StackOutOfBounds,  /// Reference to invalid element of a header stack.
    HeaderTooShort,    /// Extracting too many bits into a varbit field.
    ParserTimeout,     /// Parser execution time limit exceeded.
    ParserInvalidArgument  /// Parser operation was called with a value
                           /// not supported by the implementation.
}
extern packet_in {
    /// Read a header from the packet into a fixed-sized header @hdr
    /// and advance the cursor.
    /// May trigger error PacketTooShort or StackOutOfBounds.
    /// @T must be a fixed-size header type
    void extract<T>(out T hdr);
    /// Read bits from the packet into a variable-sized header @variableSizeHeader
    /// and advance the cursor.
    /// @T must be a header containing exactly 1 varbit field.
    /// May trigger errors PacketTooShort, StackOutOfBounds, or HeaderTooShort.
    void extract<T>(out T variableSizeHeader,
                    in bit<32> variableFieldSizeInBits);
    /// Read bits from the packet without advancing the cursor.
    /// @returns: the bits read from the packet.
    /// T may be an arbitrary fixed-size type.
    T lookahead<T>();
    /// Advance the packet cursor by the specified number of bits.
    void advance(in bit<32> sizeInBits);
    /// @return packet length in bytes.  This method may be unavailable on
    /// some target architectures.
    bit<32> length();
}
extern packet_out {
    /// Write @data into the output packet, skipping invalid headers
    /// and advancing the cursor
    /// @T can be a header type, a header stack, a header_union, or a struct
    /// containing fields with such types.
    void emit<T>(in T data);
}
action NoAction() {}
/// Standard match kinds for table key fields.
/// Some architectures may not support all these match kinds.
/// Architectures can declare additional match kinds.
match_kind {
    /// Match bits exactly.
    exact,
    /// Ternary match, using a mask.
    ternary,
    /// Longest-prefix match.
    lpm
}

/// Static assert evaluates a boolean expression
/// at compilation time.  If the expression evaluates to
/// false, compilation is stopped and the corresponding message is printed.
/// The function returns a boolean, so that it can be used
/// as a global constant value in a program, e.g.:
/// const version = static_assert(V1MODEL_VERSION > 20180000, "Expected a v1 model version >= 20180000");
extern bool static_assert(bool check, string message);

/// Like the above but using a default message.
extern bool static_assert(bool check);

Appendix E: P4 grammar

This is the grammar of P416 written using the YACC/bison language. Absent from this grammar is the precedence of various operations.

The grammar is actually ambiguous, so the lexer and the parser must collaborate for parsing the language. In particular, the lexer must be able to distinguish two kinds of identifiers:

  • Type names previously introduced (TYPE_IDENTIFIER tokens)

  • Regular identifiers (IDENTIFIER token)

The parser has to use a symbol table to indicate to the lexer how to parse subsequent appearances of identifiers. For example, given the following program fragment:

typedef bit<4> t;
struct s { /* body omitted */}
t x;
parser p(bit<8> b) { /* body omitted */ }

The lexer has to return the following terminal kinds:

t - TYPE_IDENTIFIER
s - TYPE_IDENTIFIER
x - IDENTIFIER
p - TYPE_IDENTIFIER
b - IDENTIFIER

This grammar has been heavily influenced by limitations of the Bison parser generator tool.

The STRING_LITERAL token corresponds to a string literal enclosed within double quotes, as described in Section 6.2.2.3.

All other terminals are uppercase spellings of the corresponding keywords. For example, RETURN is the terminal returned by the lexer when parsing the keyword return.

trailingCommaOpt
   : /* empty */
   | ,
   ;

booleanLiteral
   : TRUE
   | FALSE
   ;

integerLiteral
   : D int
   | nat W int
   | nat S int
   ;

stringLiteral
   : " text "
   ;

identifier
   : `ID text
   ;

typeIdentifier
   : `TID text
   ;

nonTypeName
   : identifier
   | APPLY
   | KEY
   | ACTIONS
   | STATE
   | ENTRIES
   | TYPE
   | PRIORITY
   ;

prefixedNonTypeName
   : nonTypeName
   | `ID . nonTypeName
   ;

typeName = typeIdentifier

prefixedTypeName
   : typeName
   | `TID . typeName
   ;

tableCustomName
   : identifier
   | typeIdentifier
   | APPLY
   | STATE
   | TYPE
   | PRIORITY
   ;

name
   : nonTypeName
   | typeName
   | LIST
   ;

nameList
   : name
   | nameList , name
   ;

member = name

direction
   : /* empty */
   | IN
   | OUT
   | INOUT
   ;

baseType
   : BOOL
   | ERROR
   | MATCH_KIND
   | STRING
   | INT
   | INT `< int >
   | INT `< `( expression ) >
   | BIT
   | BIT `< int >
   | BIT `< `( expression ) >
   | VARBIT `< int >
   | VARBIT `< `( expression ) >
   ;

specializedType
   : prefixedTypeName `< typeArgumentList >
   ;

namedType
   : prefixedTypeName
   | specializedType
   ;

headerStackType
   : namedType `[ expression ]
   ;

listType
   : LIST `< typeArgument >
   ;

tupleType
   : TUPLE `< typeArgumentList >
   ;

type
   : baseType
   | namedType
   | headerStackType
   | listType
   | tupleType
   ;

typeOrVoid
   : type
   | VOID
   | identifier
   ;

typeParameter = name

typeParameterList
   : typeParameter
   | typeParameterList , typeParameter
   ;

typeParameterListOpt
   : /* empty */
   | `< typeParameterList >
   ;

parameter
   : annotationList direction type name initializerOpt
   ;

nonEmptyParameterList
   : parameter
   | nonEmptyParameterList , parameter
   ;

parameterList
   : /* empty */
   | nonEmptyParameterList
   ;

constructorParameter = parameter

constructorParameterList = parameterList

constructorParameterListOpt
   : /* empty */
   | `( parameterList )
   ;

namedExpression
   : name = expression
   ;

namedExpressionList
   : namedExpression
   | namedExpressionList , namedExpression
   ;

literalExpression
   : booleanLiteral
   | integerLiteral
   | stringLiteral
   ;

referenceExpression
   : prefixedNonTypeName
   | THIS
   ;

defaultExpression
   : ...
   ;

unop
   : !
   | ~
   | -
   | +
   ;

unaryExpression
   : unop expression
   ;

binop
   : *
   | /
   | %
   | +
   | -
   | |+|
   | |-|
   | <<
   | >>
   | <=
   | >=
   | <
   | >
   | !=
   | ==
   | &
   | ^
   | |
   | ++
   | &&
   | ||
   ;

binaryExpression
   : expression binop expression
   ;

binaryExpressionNonBrace
   : expressionNonBrace binop expression
   ;

ternaryExpression
   : expression ? expression : expression
   ;

ternaryExpressionNonBrace
   : expressionNonBrace ? expression : expression
   ;

castExpression
   : `( type ) expression
   ;

dataExpression
   : invalidHeaderExpression
   | sequenceOrRecordExpression
   ;

errorAccessExpression
   : ERROR . member
   ;

memberAccessExpression
   : memberAccessBase . member
   ;

indexAccessExpression
   : expression `[ expression ]
   ;

sliceAccessExpression
   : expression `[ expression : expression ]
   ;

accessExpression
   : errorAccessExpression
   | memberAccessExpression
   | indexAccessExpression
   | sliceAccessExpression
   ;

memberAccessExpressionNonBrace
   : memberAccessBaseNonBrace . member
   ;

indexAccessExpressionNonBrace
   : expressionNonBrace `[ expression ]
   ;

sliceAccessExpressionNonBrace
   : expressionNonBrace `[ expression : expression ]
   ;

accessExpressionNonBrace
   : errorAccessExpression
   | memberAccessExpressionNonBrace
   | indexAccessExpressionNonBrace
   | sliceAccessExpressionNonBrace
   ;

callExpression
   : callTarget `( argumentList )
   | callableTarget `< realTypeArgumentList > `( argumentList )
   ;

callExpressionNonBrace
   : callTargetNonBrace `( argumentList )
   | callableTargetNonBrace `< realTypeArgumentList > `( argumentList )
   ;

parenthesizedExpression
   : `( expression )
   ;

expression
   : literalExpression
   | referenceExpression
   | defaultExpression
   | unaryExpression
   | binaryExpression
   | ternaryExpression
   | castExpression
   | dataExpression
   | accessExpression
   | callExpression
   | parenthesizedExpression
   ;

expressionList
   : /* empty */
   | expression
   | expressionList , expression
   ;

memberAccessBase
   : prefixedTypeName
   | expression
   ;

sequenceElementExpression = expressionList

recordElementExpression
   : name = expression
   | name = expression , ...
   | name = expression , namedExpressionList
   | name = expression , namedExpressionList , ...
   ;

sequenceOrRecordElementExpression
   : sequenceElementExpression
   | recordElementExpression
   ;

callableTarget = expression

constructorTarget = namedType

callTarget
   : callableTarget
   | constructorTarget
   ;

expressionNonBrace
   : literalExpression
   | referenceExpression
   | unaryExpression
   | binaryExpressionNonBrace
   | ternaryExpressionNonBrace
   | castExpression
   | accessExpressionNonBrace
   | callExpressionNonBrace
   | parenthesizedExpression
   ;

memberAccessBaseNonBrace
   : prefixedTypeName
   | expressionNonBrace
   ;

callableTargetNonBrace = expressionNonBrace

callTargetNonBrace
   : callableTargetNonBrace
   | constructorTarget
   ;

simpleKeysetExpression
   : expression
   | expression &&& expression
   | expression .. expression
   | DEFAULT
   | _
   ;

simpleKeysetExpressionList
   : simpleKeysetExpression
   | simpleKeysetExpressionList , simpleKeysetExpression
   ;

tupleKeysetExpression
   : `( expression &&& expression )
   | `( expression .. expression )
   | `( DEFAULT )
   | `( _ )
   | `( simpleKeysetExpression , simpleKeysetExpressionList )
   ;

keysetExpression
   : simpleKeysetExpression
   | tupleKeysetExpression
   ;

realTypeArgument
   : type
   | VOID
   | _
   ;

realTypeArgumentList
   : realTypeArgument
   | realTypeArgumentList , realTypeArgument
   ;

typeArgument
   : realTypeArgument
   | nonTypeName
   ;

typeArgumentList
   : /* empty */
   | typeArgument
   | typeArgumentList , typeArgument
   ;

argument
   : expression
   | name = expression
   | name = _
   | _
   ;

argumentListNonEmpty
   : argument
   | argumentListNonEmpty , argument
   ;

argumentList
   : /* empty */
   | argumentListNonEmpty
   ;

lvalue
   : referenceExpression
   | lvalue . member
   | lvalue `[ expression ]
   | lvalue `[ expression : expression ]
   | `( lvalue )
   ;

emptyStatement
   : ;
   ;

assignmentStatement
   : lvalue assignop expression ;
   ;

callStatement
   : lvalue `( argumentList ) ;
   | lvalue `< typeArgumentList > `( argumentList ) ;
   ;

directApplicationStatement
   : namedType . APPLY `( argumentList ) ;
   ;

returnStatement
   : RETURN ;
   | RETURN expression ;
   ;

exitStatement
   : EXIT ;
   ;

blockStatement
   : annotationList `{ blockElementStatementList }
   ;

conditionalStatement
   : IF `( expression ) statement
   | IF `( expression ) statement ELSE statement
   ;

forUpdateStatement
   : lvalue `( argumentList )
   | lvalue `< typeArgumentList > `( argumentList )
   | lvalue assignop expression
   ;

forUpdateStatementListNonEmpty
   : forUpdateStatement
   | forUpdateStatementListNonEmpty , forUpdateStatement
   ;

forUpdateStatementList
   : /* empty */
   | forUpdateStatementListNonEmpty
   ;

forInitStatement
   : annotationList type name initializerOpt
   | forUpdateStatement
   ;

forInitStatementListNonEmpty
   : forInitStatement
   | forInitStatementListNonEmpty , forInitStatement
   ;

forInitStatementList
   : /* empty */
   | forInitStatementListNonEmpty
   ;

forCollectionExpression
   : expression
   | expression .. expression
   ;

forStatement
   : annotationList FOR
       `( forInitStatementList ; expression ; forUpdateStatementList ) statement
   | annotationList FOR `( type name IN forCollectionExpression ) statement
   | annotationList FOR
       `( annotationListNonEmpty type name IN forCollectionExpression )
       statement
   ;

switchLabel
   : DEFAULT
   | expressionNonBrace
   ;

switchCase
   : switchLabel : blockStatement
   | switchLabel :
   ;

switchCaseList
   : /* empty */
   | switchCaseList switchCase
   ;

switchStatement
   : SWITCH `( expression ) `{ switchCaseList }
   ;

breakStatement
   : BREAK ;
   ;

continueStatement
   : CONTINUE ;
   ;

statement
   : emptyStatement
   | assignmentStatement
   | callStatement
   | directApplicationStatement
   | returnStatement
   | exitStatement
   | blockStatement
   | conditionalStatement
   | forStatement
   | breakStatement
   | continueStatement
   | switchStatement
   ;

initializer
   : = expression
   ;

constantDeclaration
   : annotationList CONST type name initializer ;
   ;

initializerOpt
   : /* empty */
   | initializer
   ;

variableDeclaration
   : annotationList type name initializerOpt ;
   ;

blockElementStatement
   : constantDeclaration
   | variableDeclaration
   | statement
   ;

blockElementStatementList
   : /* empty */
   | blockElementStatementList blockElementStatement
   ;

functionPrototype
   : typeOrVoid name typeParameterListOpt `( parameterList )
   ;

functionDeclaration
   : annotationList functionPrototype blockStatement
   ;

actionDeclaration
   : annotationList ACTION name `( parameterList ) blockStatement
   ;

objectInitializer
   : = `{ objectDeclarationList }
   ;

instantiation
   : annotationList type `( argumentList ) name ;
   | annotationList type `( argumentList ) name objectInitializer ;
   ;

objectDeclaration
   : functionDeclaration
   | instantiation
   ;

objectDeclarationList
   : /* empty */
   | objectDeclarationList objectDeclaration
   ;

errorDeclaration
   : ERROR `{ nameList }
   ;

matchKindDeclaration
   : MATCH_KIND `{ nameList trailingCommaOpt }
   ;

enumTypeDeclaration
   : annotationList ENUM name `{ nameList trailingCommaOpt }
   | annotationList ENUM type name `{ namedExpressionList trailingCommaOpt }
   ;

typeField
   : annotationList type name ;
   ;

typeFieldList
   : /* empty */
   | typeFieldList typeField
   ;

structTypeDeclaration
   : annotationList STRUCT name typeParameterListOpt `{ typeFieldList }
   ;

headerTypeDeclaration
   : annotationList HEADER name typeParameterListOpt `{ typeFieldList }
   ;

headerUnionTypeDeclaration
   : annotationList HEADER_UNION name typeParameterListOpt `{ typeFieldList }
   ;

derivedTypeDeclaration
   : enumTypeDeclaration
   | structTypeDeclaration
   | headerTypeDeclaration
   | headerUnionTypeDeclaration
   ;

typedef
   : type
   | derivedTypeDeclaration
   ;

typedefDeclaration
   : annotationList TYPEDEF typedef name ;
   | annotationList TYPE type name ;
   ;

externFunctionDeclaration
   : annotationList EXTERN functionPrototype ;
   ;

externConstructorPrototype
   : annotationList typeIdentifier `( parameterList ) ;
   ;

externMethodPrototype
   : annotationList functionPrototype ;
   | annotationList ABSTRACT functionPrototype ;
   ;

externConstructorOrMethodPrototype
   : externConstructorPrototype
   | externMethodPrototype
   ;

externConstructorOrMethodPrototypeList
   : /* empty */
   | externConstructorOrMethodPrototypeList externConstructorOrMethodPrototype
   ;

externObjectDeclaration
   : annotationList EXTERN nonTypeName typeParameterListOpt
       `{ externConstructorOrMethodPrototypeList }
   ;

externDeclaration
   : externFunctionDeclaration
   | externObjectDeclaration
   ;

selectCase
   : keysetExpression : name ;
   ;

selectCaseList
   : /* empty */
   | selectCaseList selectCase
   ;

selectExpression
   : SELECT `( expressionList ) `{ selectCaseList }
   ;

stateExpression
   : name ;
   | selectExpression
   ;

transitionStatement
   : /* empty */
   | TRANSITION stateExpression
   ;

valueSetType
   : baseType
   | tupleType
   | prefixedTypeName
   ;

valueSetDeclaration
   : annotationList VALUE_SET `< valueSetType > `( expression ) name ;
   ;

parserTypeDeclaration
   : annotationList PARSER name typeParameterListOpt `( parameterList ) ;
   ;

parserBlockStatement
   : annotationList `{ parserStatementList }
   ;

parserConditionalStatement
   : IF `( expression ) parserStatement
   | IF `( expression ) parserStatement ELSE parserStatement
   ;

parserStatement
   : constantDeclaration
   | variableDeclaration
   | emptyStatement
   | assignmentStatement
   | callStatement
   | directApplicationStatement
   | parserBlockStatement
   | parserConditionalStatement
   ;

parserStatementList
   : /* empty */
   | parserStatementList parserStatement
   ;

parserState
   : annotationList STATE name `{ parserStatementList transitionStatement }
   ;

parserStateList
   : parserState
   | parserStateList parserState
   ;

parserLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | valueSetDeclaration
   ;

parserLocalDeclarationList
   : /* empty */
   | parserLocalDeclarationList parserLocalDeclaration
   ;

parserDeclaration
   : annotationList PARSER name typeParameterListOpt `( parameterList )
       constructorParameterListOpt
       `{ parserLocalDeclarationList parserStateList }
   ;

const
   : CONST
   ;

constOpt
   : /* empty */
   | const
   ;

tableKey
   : expression : name annotationList ;
   ;

tableKeyList
   : /* empty */
   | tableKeyList tableKey
   ;

tableActionReference
   : prefixedNonTypeName
   | prefixedNonTypeName `( argumentList )
   ;

tableAction
   : annotationList tableActionReference ;
   ;

tableActionList
   : /* empty */
   | tableActionList tableAction
   ;

tableEntryPriority
   : PRIORITY = integerLiteral :
   | PRIORITY = `( expression ) :
   ;

tableEntry
   : constOpt tableEntryPriority keysetExpression : tableActionReference
       annotationList ;
   | constOpt keysetExpression : tableActionReference annotationList ;
   ;

tableEntryList
   : /* empty */
   | tableEntryList tableEntry
   ;

tableProperty
   : KEY = `{ tableKeyList }
   | ACTIONS = `{ tableActionList }
   | annotationList constOpt ENTRIES = `{ tableEntryList }
   | annotationList constOpt tableCustomName initializer ;
   ;

tablePropertyList
   : /* empty */
   | tablePropertyList tableProperty
   ;

tableDeclaration
   : annotationList TABLE name `{ tablePropertyList }
   ;

controlTypeDeclaration
   : annotationList CONTROL name typeParameterListOpt `( parameterList ) ;
   ;

controlBody = blockStatement

controlLocalDeclaration
   : constantDeclaration
   | instantiation
   | variableDeclaration
   | actionDeclaration
   | tableDeclaration
   ;

controlLocalDeclarationList
   : /* empty */
   | controlLocalDeclarationList controlLocalDeclaration
   ;

controlDeclaration
   : annotationList CONTROL name typeParameterListOpt `( parameterList )
       constructorParameterListOpt
       `{ controlLocalDeclarationList APPLY controlBody }
   ;

packageTypeDeclaration
   : annotationList PACKAGE name typeParameterListOpt `( parameterList ) ;
   ;

typeDeclaration
   : derivedTypeDeclaration
   | typedefDeclaration
   | parserTypeDeclaration
   | controlTypeDeclaration
   | packageTypeDeclaration
   ;

declaration
   : constantDeclaration
   | instantiation
   | functionDeclaration
   | actionDeclaration
   | errorDeclaration
   | matchKindDeclaration
   | externDeclaration
   | parserDeclaration
   | controlDeclaration
   | typeDeclaration
   ;

annotationToken
   : UNEXPECTED_TOKEN
   | ABSTRACT
   | ACTION
   | ACTIONS
   | APPLY
   | BOOL
   | BIT
   | BREAK
   | CONST
   | CONTINUE
   | CONTROL
   | DEFAULT
   | ELSE
   | ENTRIES
   | ENUM
   | ERROR
   | EXIT
   | EXTERN
   | FALSE
   | FOR
   | HEADER
   | HEADER_UNION
   | IF
   | IN
   | INOUT
   | INT
   | KEY
   | MATCH_KIND
   | TYPE
   | OUT
   | PARSER
   | PACKAGE
   | PRAGMA
   | RETURN
   | SELECT
   | STATE
   | STRING
   | STRUCT
   | SWITCH
   | TABLE
   | THIS
   | TRANSITION
   | TRUE
   | TUPLE
   | TYPEDEF
   | VARBIT
   | VALUE_SET
   | LIST
   | VOID
   | _
   | identifier
   | typeIdentifier
   | stringLiteral
   | integerLiteral
   | &&&
   | ..
   | <<
   | &&
   | ||
   | ==
   | !=
   | >=
   | <=
   | ++
   | +
   | |+|
   | -
   | |-|
   | *
   | /
   | %
   | |
   | &
   | ^
   | ~
   | [
   | ]
   | {
   | }
   | <
   | >
   | !
   | :
   | ,
   | ?
   | .
   | =
   | ;
   | @
   ;

annotationBody
   : /* empty */
   | annotationBody `( annotationBody )
   | annotationBody annotationToken
   ;

structuredAnnotationBody
   : sequenceOrRecordElementExpression trailingCommaOpt
   ;

annotation
   : @ name
   | @ name `( annotationBody )
   | @ name `[ structuredAnnotationBody ]
   | @ PRAGMA name annotationBody
   ;

annotationListNonEmpty
   : annotation
   | annotationListNonEmpty annotation
   ;

annotationList
   : /* empty */
   | annotationListNonEmpty
   ;

p4program
   : /* empty */
   | p4program declaration
   | p4program ;
   ;

1. https://github.com/p4lang/p4-spec/blob/master/p4-16/spec/docs/p4-table-and-parser-value-set-sizes.md
2. The P4Runtime API is defined as a Google Protocol Buffer .proto file and an accompanying English specification document here: https://github.com/p4lang/p4runtime
3. https://github.com/p4lang/p4-spec/blob/master/p4-16/spec/docs/implementing-generalized-switch-statements.md
4. TDI is the Table Driven Interface. More information can be found here: https://github.com/p4lang/tdi
5. Most existing P416 programs today do not use function or method calls in table key expressions, and the order of evaluation of these key expressions makes no difference in the resulting lookup key value. In this overwhelmingly common case, if an implementation chooses to insert extra assignment statements to implement side-effecting key expressions, but does not insert them when there are no side-effecting key expressions, then in typical programs they will almost never be inserted.