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Markdown
833 lines
34 KiB
Markdown
# MLIR Language Reference
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MLIR (Multi-Level IR) is a compiler intermediate representation with
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similarities to traditional three-address SSA representations (like
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[LLVM IR](http://llvm.org/docs/LangRef.html) or
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[SIL](https://github.com/apple/swift/blob/master/docs/SIL.rst)), but which
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introduces notions from polyhedral loop optimization as first-class concepts.
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This hybrid design is optimized to represent, analyze, and transform high level
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dataflow graphs as well as target-specific code generated for high performance
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data parallel systems. Beyond its representational capabilities, its single
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continuous design provides a framework to lower from dataflow graphs to
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high-performance target-specific code.
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This document defines and describes the key concepts in MLIR, and is intended to
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be a dry reference document - the
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[rationale documentation](Rationale/Rationale.md),
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[glossary](../getting_started/Glossary.md), and other content are hosted
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elsewhere.
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MLIR is designed to be used in three different forms: a human-readable textual
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form suitable for debugging, an in-memory form suitable for programmatic
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transformations and analysis, and a compact serialized form suitable for storage
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and transport. The different forms all describe the same semantic content. This
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document describes the human-readable textual form.
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[TOC]
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## High-Level Structure
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MLIR is fundamentally based on a graph-like data structure of nodes, called
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*Operations*, and edges, called *Values*. Each Value is the result of exactly
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one Operation or Block Argument, and has a *Value Type* defined by the
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[type system](#type-system). [Operations](#operations) are contained in
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[Blocks](#blocks) and Blocks are contained in [Regions](#regions). Operations
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are also ordered within their containing block and Blocks are ordered in their
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containing region, although this order may or may not be semantically meaningful
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in a given [kind of region](Interfaces.md/#regionkindinterfaces)). Operations
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may also contain regions, enabling hierarchical structures to be represented.
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Operations can represent many different concepts, from higher-level concepts
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like function definitions, function calls, buffer allocations, view or slices of
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buffers, and process creation, to lower-level concepts like target-independent
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arithmetic, target-specific instructions, configuration registers, and logic
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gates. These different concepts are represented by different operations in MLIR
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and the set of operations usable in MLIR can be arbitrarily extended.
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MLIR also provides an extensible framework for transformations on operations,
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using familiar concepts of compiler [Passes](Passes.md). Enabling an arbitrary
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set of passes on an arbitrary set of operations results in a significant scaling
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challenge, since each transformation must potentially take into account the
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semantics of any operation. MLIR addresses this complexity by allowing operation
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semantics to be described abstractly using [Traits](Traits.md) and
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[Interfaces](Interfaces.md), enabling transformations to operate on operations
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more generically. Traits often describe verification constraints on valid IR,
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enabling complex invariants to be captured and checked. (see
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[Op vs Operation](Tutorials/Toy/Ch-2.md/#op-vs-operation-using-mlir-operations))
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One obvious application of MLIR is to represent an
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[SSA-based](https://en.wikipedia.org/wiki/Static_single_assignment_form) IR,
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like the LLVM core IR, with appropriate choice of operation types to define
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Modules, Functions, Branches, Memory Allocation, and verification constraints to
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ensure the SSA Dominance property. MLIR includes a collection of dialects which
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defines just such structures. However, MLIR is intended to be general enough to
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represent other compiler-like data structures, such as Abstract Syntax Trees in
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a language frontend, generated instructions in a target-specific backend, or
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circuits in a High-Level Synthesis tool.
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Here's an example of an MLIR module:
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```mlir
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// Compute A*B using an implementation of multiply kernel and print the
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// result using a TensorFlow op. The dimensions of A and B are partially
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// known. The shapes are assumed to match.
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func @mul(%A: tensor<100x?xf32>, %B: tensor<?x50xf32>) -> (tensor<100x50xf32>) {
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// Compute the inner dimension of %A using the dim operation.
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%n = memref.dim %A, 1 : tensor<100x?xf32>
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// Allocate addressable "buffers" and copy tensors %A and %B into them.
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%A_m = memref.alloc(%n) : memref<100x?xf32>
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memref.tensor_store %A to %A_m : memref<100x?xf32>
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%B_m = memref.alloc(%n) : memref<?x50xf32>
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memref.tensor_store %B to %B_m : memref<?x50xf32>
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// Call function @multiply passing memrefs as arguments,
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// and getting returned the result of the multiplication.
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%C_m = call @multiply(%A_m, %B_m)
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: (memref<100x?xf32>, memref<?x50xf32>) -> (memref<100x50xf32>)
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memref.dealloc %A_m : memref<100x?xf32>
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memref.dealloc %B_m : memref<?x50xf32>
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// Load the buffer data into a higher level "tensor" value.
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%C = memref.tensor_load %C_m : memref<100x50xf32>
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memref.dealloc %C_m : memref<100x50xf32>
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// Call TensorFlow built-in function to print the result tensor.
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"tf.Print"(%C){message: "mul result"}
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: (tensor<100x50xf32) -> (tensor<100x50xf32>)
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return %C : tensor<100x50xf32>
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}
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// A function that multiplies two memrefs and returns the result.
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func @multiply(%A: memref<100x?xf32>, %B: memref<?x50xf32>)
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-> (memref<100x50xf32>) {
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// Compute the inner dimension of %A.
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%n = memref.dim %A, 1 : memref<100x?xf32>
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// Allocate memory for the multiplication result.
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%C = memref.alloc() : memref<100x50xf32>
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// Multiplication loop nest.
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affine.for %i = 0 to 100 {
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affine.for %j = 0 to 50 {
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memref.store 0 to %C[%i, %j] : memref<100x50xf32>
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affine.for %k = 0 to %n {
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%a_v = memref.load %A[%i, %k] : memref<100x?xf32>
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%b_v = memref.load %B[%k, %j] : memref<?x50xf32>
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%prod = arith.mulf %a_v, %b_v : f32
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%c_v = memref.load %C[%i, %j] : memref<100x50xf32>
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%sum = arith.addf %c_v, %prod : f32
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memref.store %sum, %C[%i, %j] : memref<100x50xf32>
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}
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}
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}
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return %C : memref<100x50xf32>
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}
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```
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## Notation
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MLIR has a simple and unambiguous grammar, allowing it to reliably round-trip
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through a textual form. This is important for development of the compiler - e.g.
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for understanding the state of code as it is being transformed and writing test
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cases.
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This document describes the grammar using
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[Extended Backus-Naur Form (EBNF)](https://en.wikipedia.org/wiki/Extended_Backus%E2%80%93Naur_form).
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This is the EBNF grammar used in this document, presented in yellow boxes.
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```
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alternation ::= expr0 | expr1 | expr2 // Either expr0 or expr1 or expr2.
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sequence ::= expr0 expr1 expr2 // Sequence of expr0 expr1 expr2.
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repetition0 ::= expr* // 0 or more occurrences.
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repetition1 ::= expr+ // 1 or more occurrences.
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optionality ::= expr? // 0 or 1 occurrence.
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grouping ::= (expr) // Everything inside parens is grouped together.
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literal ::= `abcd` // Matches the literal `abcd`.
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```
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Code examples are presented in blue boxes.
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```mlir
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// This is an example use of the grammar above:
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// This matches things like: ba, bana, boma, banana, banoma, bomana...
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example ::= `b` (`an` | `om`)* `a`
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```
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### Common syntax
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The following core grammar productions are used in this document:
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```
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// TODO: Clarify the split between lexing (tokens) and parsing (grammar).
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digit ::= [0-9]
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hex_digit ::= [0-9a-fA-F]
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letter ::= [a-zA-Z]
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id-punct ::= [$._-]
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integer-literal ::= decimal-literal | hexadecimal-literal
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decimal-literal ::= digit+
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hexadecimal-literal ::= `0x` hex_digit+
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float-literal ::= [-+]?[0-9]+[.][0-9]*([eE][-+]?[0-9]+)?
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string-literal ::= `"` [^"\n\f\v\r]* `"` TODO: define escaping rules
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```
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Not listed here, but MLIR does support comments. They use standard BCPL syntax,
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starting with a `//` and going until the end of the line.
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### Identifiers and keywords
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Syntax:
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```
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// Identifiers
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bare-id ::= (letter|[_]) (letter|digit|[_$.])*
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bare-id-list ::= bare-id (`,` bare-id)*
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value-id ::= `%` suffix-id
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suffix-id ::= (digit+ | ((letter|id-punct) (letter|id-punct|digit)*))
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symbol-ref-id ::= `@` (suffix-id | string-literal)
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value-id-list ::= value-id (`,` value-id)*
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// Uses of value, e.g. in an operand list to an operation.
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value-use ::= value-id
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value-use-list ::= value-use (`,` value-use)*
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```
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Identifiers name entities such as values, types and functions, and are chosen by
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the writer of MLIR code. Identifiers may be descriptive (e.g. `%batch_size`,
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`@matmul`), or may be non-descriptive when they are auto-generated (e.g. `%23`,
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`@func42`). Identifier names for values may be used in an MLIR text file but are
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not persisted as part of the IR - the printer will give them anonymous names
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like `%42`.
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MLIR guarantees identifiers never collide with keywords by prefixing identifiers
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with a sigil (e.g. `%`, `#`, `@`, `^`, `!`). In certain unambiguous contexts
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(e.g. affine expressions), identifiers are not prefixed, for brevity. New
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keywords may be added to future versions of MLIR without danger of collision
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with existing identifiers.
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Value identifiers are only [in scope](#value-scoping) for the (nested) region in
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which they are defined and cannot be accessed or referenced outside of that
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region. Argument identifiers in mapping functions are in scope for the mapping
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body. Particular operations may further limit which identifiers are in scope in
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their regions. For instance, the scope of values in a region with
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[SSA control flow semantics](#control-flow-and-ssacfg-regions) is constrained
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according to the standard definition of
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[SSA dominance](https://en.wikipedia.org/wiki/Dominator_\(graph_theory\)).
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Another example is the [IsolatedFromAbove trait](Traits.md/#isolatedfromabove),
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which restricts directly accessing values defined in containing regions.
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Function identifiers and mapping identifiers are associated with
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[Symbols](SymbolsAndSymbolTables.md) and have scoping rules dependent on symbol
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attributes.
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## Dialects
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Dialects are the mechanism by which to engage with and extend the MLIR
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ecosystem. They allow for defining new [operations](#operations), as well as
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[attributes](#attributes) and [types](#type-system). Each dialect is given a
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unique `namespace` that is prefixed to each defined attribute/operation/type.
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For example, the [Affine dialect](Dialects/Affine.md) defines the namespace:
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`affine`.
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MLIR allows for multiple dialects, even those outside of the main tree, to
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co-exist together within one module. Dialects are produced and consumed by
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certain passes. MLIR provides a [framework](DialectConversion.md) to convert
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between, and within, different dialects.
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A few of the dialects supported by MLIR:
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* [Affine dialect](Dialects/Affine.md)
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* [GPU dialect](Dialects/GPU.md)
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* [LLVM dialect](Dialects/LLVM.md)
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* [SPIR-V dialect](Dialects/SPIR-V.md)
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* [Standard dialect](Dialects/Standard.md)
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* [Vector dialect](Dialects/Vector.md)
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### Target specific operations
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Dialects provide a modular way in which targets can expose target-specific
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operations directly through to MLIR. As an example, some targets go through
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LLVM. LLVM has a rich set of intrinsics for certain target-independent
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operations (e.g. addition with overflow check) as well as providing access to
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target-specific operations for the targets it supports (e.g. vector permutation
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operations). LLVM intrinsics in MLIR are represented via operations that start
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with an "llvm." name.
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Example:
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```mlir
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// LLVM: %x = call {i16, i1} @llvm.sadd.with.overflow.i16(i16 %a, i16 %b)
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%x:2 = "llvm.sadd.with.overflow.i16"(%a, %b) : (i16, i16) -> (i16, i1)
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```
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These operations only work when targeting LLVM as a backend (e.g. for CPUs and
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GPUs), and are required to align with the LLVM definition of these intrinsics.
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## Operations
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Syntax:
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```
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operation ::= op-result-list? (generic-operation | custom-operation)
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trailing-location?
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generic-operation ::= string-literal `(` value-use-list? `)` successor-list?
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region-list? dictionary-attribute? `:` function-type
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custom-operation ::= bare-id custom-operation-format
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op-result-list ::= op-result (`,` op-result)* `=`
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op-result ::= value-id (`:` integer-literal)
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successor-list ::= `[` successor (`,` successor)* `]`
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successor ::= caret-id (`:` bb-arg-list)?
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region-list ::= `(` region (`,` region)* `)`
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dictionary-attribute ::= `{` (attribute-entry (`,` attribute-entry)*)? `}`
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trailing-location ::= (`loc` `(` location `)`)?
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```
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MLIR introduces a uniform concept called *operations* to enable describing many
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different levels of abstractions and computations. Operations in MLIR are fully
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extensible (there is no fixed list of operations) and have application-specific
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semantics. For example, MLIR supports
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[target-independent operations](Dialects/Standard.md#memory-operations),
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[affine operations](Dialects/Affine.md), and
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[target-specific machine operations](#target-specific-operations).
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The internal representation of an operation is simple: an operation is
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identified by a unique string (e.g. `dim`, `tf.Conv2d`, `x86.repmovsb`,
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`ppc.eieio`, etc), can return zero or more results, take zero or more operands,
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has a dictionary of [attributes](#attributes), has zero or more successors, and
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zero or more enclosed [regions](#regions). The generic printing form includes
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all these elements literally, with a function type to indicate the types of the
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results and operands.
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Example:
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```mlir
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// An operation that produces two results.
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// The results of %result can be accessed via the <name> `#` <opNo> syntax.
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%result:2 = "foo_div"() : () -> (f32, i32)
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// Pretty form that defines a unique name for each result.
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%foo, %bar = "foo_div"() : () -> (f32, i32)
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// Invoke a TensorFlow function called tf.scramble with two inputs
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// and an attribute "fruit".
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%2 = "tf.scramble"(%result#0, %bar) {fruit = "banana"} : (f32, i32) -> f32
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```
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In addition to the basic syntax above, dialects may register known operations.
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This allows those dialects to support *custom assembly form* for parsing and
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printing operations. In the operation sets listed below, we show both forms.
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### Builtin Operations
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The [builtin dialect](Dialects/Builtin.md) defines a select few operations that
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are widely applicable by MLIR dialects, such as a universal conversion cast
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operation that simplifies inter/intra dialect conversion. This dialect also
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defines a top-level `module` operation, that represents a useful IR container.
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## Blocks
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Syntax:
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```
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block ::= block-label operation+
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block-label ::= block-id block-arg-list? `:`
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block-id ::= caret-id
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caret-id ::= `^` suffix-id
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value-id-and-type ::= value-id `:` type
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// Non-empty list of names and types.
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value-id-and-type-list ::= value-id-and-type (`,` value-id-and-type)*
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block-arg-list ::= `(` value-id-and-type-list? `)`
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```
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A *Block* is a list of operations. In
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[SSACFG regions](#control-flow-and-ssacfg-regions), each block represents a
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compiler [basic block](https://en.wikipedia.org/wiki/Basic_block) where
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instructions inside the block are executed in order and terminator operations
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implement control flow branches between basic blocks.
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A region with a single block may not include a
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[terminator operation](#terminator-operations). The enclosing op can opt-out of
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this requirement with the `NoTerminator` trait. The top-level `ModuleOp` is an
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example of such operation which defined this trait and whose block body does not
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have a terminator.
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Blocks in MLIR take a list of block arguments, notated in a function-like way.
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Block arguments are bound to values specified by the semantics of individual
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operations. Block arguments of the entry block of a region are also arguments to
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the region and the values bound to these arguments are determined by the
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semantics of the containing operation. Block arguments of other blocks are
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determined by the semantics of terminator operations, e.g. Branches, which have
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the block as a successor. In regions with
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[control flow](#control-flow-and-ssacfg-regions), MLIR leverages this structure
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to implicitly represent the passage of control-flow dependent values without the
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complex nuances of PHI nodes in traditional SSA representations. Note that
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values which are not control-flow dependent can be referenced directly and do
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not need to be passed through block arguments.
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Here is a simple example function showing branches, returns, and block
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arguments:
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```mlir
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func @simple(i64, i1) -> i64 {
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^bb0(%a: i64, %cond: i1): // Code dominated by ^bb0 may refer to %a
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cond_br %cond, ^bb1, ^bb2
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^bb1:
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br ^bb3(%a: i64) // Branch passes %a as the argument
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^bb2:
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%b = arith.addi %a, %a : i64
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br ^bb3(%b: i64) // Branch passes %b as the argument
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// ^bb3 receives an argument, named %c, from predecessors
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// and passes it on to bb4 along with %a. %a is referenced
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// directly from its defining operation and is not passed through
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// an argument of ^bb3.
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^bb3(%c: i64):
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br ^bb4(%c, %a : i64, i64)
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^bb4(%d : i64, %e : i64):
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%0 = arith.addi %d, %e : i64
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return %0 : i64 // Return is also a terminator.
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}
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```
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**Context:** The "block argument" representation eliminates a number of special
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cases from the IR compared to traditional "PHI nodes are operations" SSA IRs
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(like LLVM). For example, the
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[parallel copy semantics](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.524.5461&rep=rep1&type=pdf)
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of SSA is immediately apparent, and function arguments are no longer a special
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case: they become arguments to the entry block
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[[more rationale](Rationale/Rationale.md/#block-arguments-vs-phi-nodes)]. Blocks
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are also a fundamental concept that cannot be represented by operations because
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values defined in an operation cannot be accessed outside the operation.
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## Regions
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### Definition
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A region is an ordered list of MLIR [Blocks](#blocks). The semantics within a
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region is not imposed by the IR. Instead, the containing operation defines the
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semantics of the regions it contains. MLIR currently defines two kinds of
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regions: [SSACFG regions](#control-flow-and-ssacfg-regions), which describe
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control flow between blocks, and [Graph regions](#graph-regions), which do not
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require control flow between block. The kinds of regions within an operation are
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described using the [RegionKindInterface](Interfaces.md/#regionkindinterfaces).
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Regions do not have a name or an address, only the blocks contained in a region
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do. Regions must be contained within operations and have no type or attributes.
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The first block in the region is a special block called the 'entry block'. The
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arguments to the entry block are also the arguments of the region itself. The
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entry block cannot be listed as a successor of any other block. The syntax for a
|
|
region is as follows:
|
|
|
|
```
|
|
region ::= `{` block* `}`
|
|
```
|
|
|
|
A function body is an example of a region: it consists of a CFG of blocks and
|
|
has additional semantic restrictions that other types of regions may not have.
|
|
For example, in a function body, block terminators must either branch to a
|
|
different block, or return from a function where the types of the `return`
|
|
arguments must match the result types of the function signature. Similarly, the
|
|
function arguments must match the types and count of the region arguments. In
|
|
general, operations with regions can define these correspondances arbitrarily.
|
|
|
|
### Value Scoping
|
|
|
|
Regions provide hierarchical encapsulation of programs: it is impossible to
|
|
reference, i.e. branch to, a block which is not in the same region as the source
|
|
of the reference, i.e. a terminator operation. Similarly, regions provides a
|
|
natural scoping for value visibility: values defined in a region don't escape to
|
|
the enclosing region, if any. By default, operations inside a region can
|
|
reference values defined outside of the region whenever it would have been legal
|
|
for operands of the enclosing operation to reference those values, but this can
|
|
be restricted using traits, such as
|
|
[OpTrait::IsolatedFromAbove](Traits.md/#isolatedfromabove), or a custom
|
|
verifier.
|
|
|
|
Example:
|
|
|
|
```mlir
|
|
"any_op"(%a) ({ // if %a is in-scope in the containing region...
|
|
// then %a is in-scope here too.
|
|
%new_value = "another_op"(%a) : (i64) -> (i64)
|
|
}) : (i64) -> (i64)
|
|
```
|
|
|
|
MLIR defines a generalized 'hierarchical dominance' concept that operates across
|
|
hierarchy and defines whether a value is 'in scope' and can be used by a
|
|
particular operation. Whether a value can be used by another operation in the
|
|
same region is defined by the kind of region. A value defined in a region can be
|
|
used by an operation which has a parent in the same region, if and only if the
|
|
parent could use the value. A value defined by an argument to a region can
|
|
always be used by any operation deeply contained in the region. A value defined
|
|
in a region can never be used outside of the region.
|
|
|
|
### Control Flow and SSACFG Regions
|
|
|
|
In MLIR, control flow semantics of a region is indicated by
|
|
[RegionKind::SSACFG](Interfaces.md/#regionkindinterfaces). Informally, these
|
|
regions support semantics where operations in a region 'execute sequentially'.
|
|
Before an operation executes, its operands have well-defined values. After an
|
|
operation executes, the operands have the same values and results also have
|
|
well-defined values. After an operation executes, the next operation in the
|
|
block executes until the operation is the terminator operation at the end of a
|
|
block, in which case some other operation will execute. The determination of the
|
|
next instruction to execute is the 'passing of control flow'.
|
|
|
|
In general, when control flow is passed to an operation, MLIR does not restrict
|
|
when control flow enters or exits the regions contained in that operation.
|
|
However, when control flow enters a region, it always begins in the first block
|
|
of the region, called the *entry* block. Terminator operations ending each block
|
|
represent control flow by explicitly specifying the successor blocks of the
|
|
block. Control flow can only pass to one of the specified successor blocks as in
|
|
a `branch` operation, or back to the containing operation as in a `return`
|
|
operation. Terminator operations without successors can only pass control back
|
|
to the containing operation. Within these restrictions, the particular semantics
|
|
of terminator operations is determined by the specific dialect operations
|
|
involved. Blocks (other than the entry block) that are not listed as a successor
|
|
of a terminator operation are defined to be unreachable and can be removed
|
|
without affecting the semantics of the containing operation.
|
|
|
|
Although control flow always enters a region through the entry block, control
|
|
flow may exit a region through any block with an appropriate terminator. The
|
|
standard dialect leverages this capability to define operations with
|
|
Single-Entry-Multiple-Exit (SEME) regions, possibly flowing through different
|
|
blocks in the region and exiting through any block with a `return` operation.
|
|
This behavior is similar to that of a function body in most programming
|
|
languages. In addition, control flow may also not reach the end of a block or
|
|
region, for example if a function call does not return.
|
|
|
|
Example:
|
|
|
|
```mlir
|
|
func @accelerator_compute(i64, i1) -> i64 { // An SSACFG region
|
|
^bb0(%a: i64, %cond: i1): // Code dominated by ^bb0 may refer to %a
|
|
cond_br %cond, ^bb1, ^bb2
|
|
|
|
^bb1:
|
|
// This def for %value does not dominate ^bb2
|
|
%value = "op.convert"(%a) : (i64) -> i64
|
|
br ^bb3(%a: i64) // Branch passes %a as the argument
|
|
|
|
^bb2:
|
|
accelerator.launch() { // An SSACFG region
|
|
^bb0:
|
|
// Region of code nested under "accelerator.launch", it can reference %a but
|
|
// not %value.
|
|
%new_value = "accelerator.do_something"(%a) : (i64) -> ()
|
|
}
|
|
// %new_value cannot be referenced outside of the region
|
|
|
|
^bb3:
|
|
...
|
|
}
|
|
```
|
|
|
|
#### Operations with Multiple Regions
|
|
|
|
An operation containing multiple regions also completely determines the
|
|
semantics of those regions. In particular, when control flow is passed to an
|
|
operation, it may transfer control flow to any contained region. When control
|
|
flow exits a region and is returned to the containing operation, the containing
|
|
operation may pass control flow to any region in the same operation. An
|
|
operation may also pass control flow to multiple contained regions concurrently.
|
|
An operation may also pass control flow into regions that were specified in
|
|
other operations, in particular those that defined the values or symbols the
|
|
given operation uses as in a call operation. This passage of control is
|
|
generally independent of passage of control flow through the basic blocks of the
|
|
containing region.
|
|
|
|
#### Closure
|
|
|
|
Regions allow defining an operation that creates a closure, for example by
|
|
“boxing” the body of the region into a value they produce. It remains up to the
|
|
operation to define its semantics. Note that if an operation triggers
|
|
asynchronous execution of the region, it is under the responsibility of the
|
|
operation caller to wait for the region to be executed guaranteeing that any
|
|
directly used values remain live.
|
|
|
|
### Graph Regions
|
|
|
|
In MLIR, graph-like semantics in a region is indicated by
|
|
[RegionKind::Graph](Interfaces.md/#regionkindinterfaces). Graph regions are
|
|
appropriate for concurrent semantics without control flow, or for modeling
|
|
generic directed graph data structures. Graph regions are appropriate for
|
|
representing cyclic relationships between coupled values where there is no
|
|
fundamental order to the relationships. For instance, operations in a graph
|
|
region may represent independent threads of control with values representing
|
|
streams of data. As usual in MLIR, the particular semantics of a region is
|
|
completely determined by its containing operation. Graph regions may only
|
|
contain a single basic block (the entry block).
|
|
|
|
**Rationale:** Currently graph regions are arbitrarily limited to a single basic
|
|
block, although there is no particular semantic reason for this limitation. This
|
|
limitation has been added to make it easier to stabilize the pass infrastructure
|
|
and commonly used passes for processing graph regions to properly handle
|
|
feedback loops. Multi-block regions may be allowed in the future if use cases
|
|
that require it arise.
|
|
|
|
In graph regions, MLIR operations naturally represent nodes, while each MLIR
|
|
value represents a multi-edge connecting a single source node and multiple
|
|
destination nodes. All values defined in the region as results of operations are
|
|
in scope within the region and can be accessed by any other operation in the
|
|
region. In graph regions, the order of operations within a block and the order
|
|
of blocks in a region is not semantically meaningful and non-terminator
|
|
operations may be freely reordered, for instance, by canonicalization. Other
|
|
kinds of graphs, such as graphs with multiple source nodes and multiple
|
|
destination nodes, can also be represented by representing graph edges as MLIR
|
|
operations.
|
|
|
|
Note that cycles can occur within a single block in a graph region, or between
|
|
basic blocks.
|
|
|
|
```mlir
|
|
"test.graph_region"() ({ // A Graph region
|
|
%1 = "op1"(%1, %3) : (i32, i32) -> (i32) // OK: %1, %3 allowed here
|
|
%2 = "test.ssacfg_region"() ({
|
|
%5 = "op2"(%1, %2, %3, %4) : (i32, i32, i32, i32) -> (i32) // OK: %1, %2, %3, %4 all defined in the containing region
|
|
}) : () -> (i32)
|
|
%3 = "op2"(%1, %4) : (i32, i32) -> (i32) // OK: %4 allowed here
|
|
%4 = "op3"(%1) : (i32) -> (i32)
|
|
}) : () -> ()
|
|
```
|
|
|
|
### Arguments and Results
|
|
|
|
The arguments of the first block of a region are treated as arguments of the
|
|
region. The source of these arguments is defined by the semantics of the parent
|
|
operation. They may correspond to some of the values the operation itself uses.
|
|
|
|
Regions produce a (possibly empty) list of values. The operation semantics
|
|
defines the relation between the region results and the operation results.
|
|
|
|
## Type System
|
|
|
|
Each value in MLIR has a type defined by the type system. MLIR has an open type
|
|
system (i.e. there is no fixed list of types), and types may have
|
|
application-specific semantics. MLIR dialects may define any number of types
|
|
with no restrictions on the abstractions they represent.
|
|
|
|
```
|
|
type ::= type-alias | dialect-type | builtin-type
|
|
|
|
type-list-no-parens ::= type (`,` type)*
|
|
type-list-parens ::= `(` `)`
|
|
| `(` type-list-no-parens `)`
|
|
|
|
// This is a common way to refer to a value with a specified type.
|
|
ssa-use-and-type ::= ssa-use `:` type
|
|
|
|
// Non-empty list of names and types.
|
|
ssa-use-and-type-list ::= ssa-use-and-type (`,` ssa-use-and-type)*
|
|
```
|
|
|
|
### Type Aliases
|
|
|
|
```
|
|
type-alias-def ::= '!' alias-name '=' 'type' type
|
|
type-alias ::= '!' alias-name
|
|
```
|
|
|
|
MLIR supports defining named aliases for types. A type alias is an identifier
|
|
that can be used in the place of the type that it defines. These aliases *must*
|
|
be defined before their uses. Alias names may not contain a '.', since those
|
|
names are reserved for [dialect types](#dialect-types).
|
|
|
|
Example:
|
|
|
|
```mlir
|
|
!avx_m128 = type vector<4 x f32>
|
|
|
|
// Using the original type.
|
|
"foo"(%x) : vector<4 x f32> -> ()
|
|
|
|
// Using the type alias.
|
|
"foo"(%x) : !avx_m128 -> ()
|
|
```
|
|
|
|
### Dialect Types
|
|
|
|
Similarly to operations, dialects may define custom extensions to the type
|
|
system.
|
|
|
|
```
|
|
dialect-namespace ::= bare-id
|
|
|
|
opaque-dialect-item ::= dialect-namespace '<' string-literal '>'
|
|
|
|
pretty-dialect-item ::= dialect-namespace '.' pretty-dialect-item-lead-ident
|
|
pretty-dialect-item-body?
|
|
|
|
pretty-dialect-item-lead-ident ::= '[A-Za-z][A-Za-z0-9._]*'
|
|
pretty-dialect-item-body ::= '<' pretty-dialect-item-contents+ '>'
|
|
pretty-dialect-item-contents ::= pretty-dialect-item-body
|
|
| '(' pretty-dialect-item-contents+ ')'
|
|
| '[' pretty-dialect-item-contents+ ']'
|
|
| '{' pretty-dialect-item-contents+ '}'
|
|
| '[^[<({>\])}\0]+'
|
|
|
|
dialect-type ::= '!' opaque-dialect-item
|
|
dialect-type ::= '!' pretty-dialect-item
|
|
```
|
|
|
|
Dialect types can be specified in a verbose form, e.g. like this:
|
|
|
|
```mlir
|
|
// LLVM type that wraps around llvm IR types.
|
|
!llvm<"i32*">
|
|
|
|
// Tensor flow string type.
|
|
!tf.string
|
|
|
|
// Complex type
|
|
!foo<"something<abcd>">
|
|
|
|
// Even more complex type
|
|
!foo<"something<a%%123^^^>>>">
|
|
```
|
|
|
|
Dialect types that are simple enough can use the pretty format, which is a
|
|
lighter weight syntax that is equivalent to the above forms:
|
|
|
|
```mlir
|
|
// Tensor flow string type.
|
|
!tf.string
|
|
|
|
// Complex type
|
|
!foo.something<abcd>
|
|
```
|
|
|
|
Sufficiently complex dialect types are required to use the verbose form for
|
|
generality. For example, the more complex type shown above wouldn't be valid in
|
|
the lighter syntax: `!foo.something<a%%123^^^>>>` because it contains characters
|
|
that are not allowed in the lighter syntax, as well as unbalanced `<>`
|
|
characters.
|
|
|
|
See [here](Tutorials/DefiningAttributesAndTypes.md) to learn how to define
|
|
dialect types.
|
|
|
|
### Builtin Types
|
|
|
|
The [builtin dialect](Dialects/Builtin.md) defines a set of types that are
|
|
directly usable by any other dialect in MLIR. These types cover a range from
|
|
primitive integer and floating-point types, function types, and more.
|
|
|
|
## Attributes
|
|
|
|
Syntax:
|
|
|
|
```
|
|
attribute-entry ::= (bare-id | string-literal) `=` attribute-value
|
|
attribute-value ::= attribute-alias | dialect-attribute | builtin-attribute
|
|
```
|
|
|
|
Attributes are the mechanism for specifying constant data on operations in
|
|
places where a variable is never allowed - e.g. the comparison predicate of a
|
|
[`cmpi` operation](Dialects/Standard.md#stdcmpi-cmpiop). Each operation has an
|
|
attribute dictionary, which associates a set of attribute names to attribute
|
|
values. MLIR's builtin dialect provides a rich set of
|
|
[builtin attribute values](#builtin-attribute-values) out of the box (such as
|
|
arrays, dictionaries, strings, etc.). Additionally, dialects can define their
|
|
own [dialect attribute values](#dialect-attribute-values).
|
|
|
|
The top-level attribute dictionary attached to an operation has special
|
|
semantics. The attribute entries are considered to be of two different kinds
|
|
based on whether their dictionary key has a dialect prefix:
|
|
|
|
- *inherent attributes* are inherent to the definition of an operation's
|
|
semantics. The operation itself is expected to verify the consistency of
|
|
these attributes. An example is the `predicate` attribute of the
|
|
`arith.cmpi` op. These attributes must have names that do not start with a
|
|
dialect prefix.
|
|
|
|
- *discardable attributes* have semantics defined externally to the operation
|
|
itself, but must be compatible with the operations's semantics. These
|
|
attributes must have names that start with a dialect prefix. The dialect
|
|
indicated by the dialect prefix is expected to verify these attributes. An
|
|
example is the `gpu.container_module` attribute.
|
|
|
|
Note that attribute values are allowed to themselves be dictionary attributes,
|
|
but only the top-level dictionary attribute attached to the operation is subject
|
|
to the classification above.
|
|
|
|
### Attribute Value Aliases
|
|
|
|
```
|
|
attribute-alias-def ::= '#' alias-name '=' attribute-value
|
|
attribute-alias ::= '#' alias-name
|
|
```
|
|
|
|
MLIR supports defining named aliases for attribute values. An attribute alias is
|
|
an identifier that can be used in the place of the attribute that it defines.
|
|
These aliases *must* be defined before their uses. Alias names may not contain a
|
|
'.', since those names are reserved for
|
|
[dialect attributes](#dialect-attribute-values).
|
|
|
|
Example:
|
|
|
|
```mlir
|
|
#map = affine_map<(d0) -> (d0 + 10)>
|
|
|
|
// Using the original attribute.
|
|
%b = affine.apply affine_map<(d0) -> (d0 + 10)> (%a)
|
|
|
|
// Using the attribute alias.
|
|
%b = affine.apply #map(%a)
|
|
```
|
|
|
|
### Dialect Attribute Values
|
|
|
|
Similarly to operations, dialects may define custom attribute values. The
|
|
syntactic structure of these values is identical to custom dialect type values,
|
|
except that dialect attribute values are distinguished with a leading '#', while
|
|
dialect types are distinguished with a leading '!'.
|
|
|
|
```
|
|
dialect-attribute-value ::= '#' opaque-dialect-item
|
|
dialect-attribute-value ::= '#' pretty-dialect-item
|
|
```
|
|
|
|
Dialect attribute values can be specified in a verbose form, e.g. like this:
|
|
|
|
```mlir
|
|
// Complex attribute value.
|
|
#foo<"something<abcd>">
|
|
|
|
// Even more complex attribute value.
|
|
#foo<"something<a%%123^^^>>>">
|
|
```
|
|
|
|
Dialect attribute values that are simple enough can use the pretty format, which
|
|
is a lighter weight syntax that is equivalent to the above forms:
|
|
|
|
```mlir
|
|
// Complex attribute
|
|
#foo.something<abcd>
|
|
```
|
|
|
|
Sufficiently complex dialect attribute values are required to use the verbose
|
|
form for generality. For example, the more complex type shown above would not be
|
|
valid in the lighter syntax: `#foo.something<a%%123^^^>>>` because it contains
|
|
characters that are not allowed in the lighter syntax, as well as unbalanced
|
|
`<>` characters.
|
|
|
|
See [here](Tutorials/DefiningAttributesAndTypes.md) on how to define dialect
|
|
attribute values.
|
|
|
|
### Builtin Attribute Values
|
|
|
|
The [builtin dialect](Dialects/Builtin.md) defines a set of attribute values
|
|
that are directly usable by any other dialect in MLIR. These types cover a range
|
|
from primitive integer and floating-point values, attribute dictionaries, dense
|
|
multi-dimensional arrays, and more.
|