MLIR
19.0.0git
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Base type for affine expression. More...
#include "mlir/IR/AffineExpr.h"
Public Types | |
using | ImplType = detail::AffineExprStorage |
Public Member Functions | |
constexpr | AffineExpr () |
AffineExpr (const ImplType *expr) | |
bool | operator== (AffineExpr other) const |
bool | operator!= (AffineExpr other) const |
bool | operator== (int64_t v) const |
bool | operator!= (int64_t v) const |
operator bool () const | |
bool | operator! () const |
template<typename U > | |
constexpr bool | isa () const |
template<typename U > | |
U | dyn_cast () const |
template<typename U > | |
U | dyn_cast_or_null () const |
template<typename U > | |
U | cast () const |
MLIRContext * | getContext () const |
AffineExprKind | getKind () const |
Return the classification for this type. More... | |
void | print (raw_ostream &os) const |
void | dump () const |
bool | isSymbolicOrConstant () const |
Returns true if this expression is made out of only symbols and constants, i.e., it does not involve dimensional identifiers. More... | |
bool | isPureAffine () const |
Returns true if this is a pure affine expression, i.e., multiplication, floordiv, ceildiv, and mod is only allowed w.r.t constants. More... | |
int64_t | getLargestKnownDivisor () const |
Returns the greatest known integral divisor of this affine expression. More... | |
bool | isMultipleOf (int64_t factor) const |
Return true if the affine expression is a multiple of 'factor'. More... | |
bool | isFunctionOfDim (unsigned position) const |
Return true if the affine expression involves AffineDimExpr position . More... | |
bool | isFunctionOfSymbol (unsigned position) const |
Return true if the affine expression involves AffineSymbolExpr position . More... | |
template<typename FnT , typename RetT = detail::walkResultType<FnT>> | |
RetT | walk (FnT &&callback) const |
Walk all of the AffineExpr's in this expression in postorder. More... | |
AffineExpr | replaceDimsAndSymbols (ArrayRef< AffineExpr > dimReplacements, ArrayRef< AffineExpr > symReplacements) const |
This method substitutes any uses of dimensions and symbols (e.g. More... | |
AffineExpr | replaceDims (ArrayRef< AffineExpr > dimReplacements) const |
Dim-only version of replaceDimsAndSymbols. More... | |
AffineExpr | replaceSymbols (ArrayRef< AffineExpr > symReplacements) const |
Symbol-only version of replaceDimsAndSymbols. More... | |
AffineExpr | replace (AffineExpr expr, AffineExpr replacement) const |
Sparse replace method. More... | |
AffineExpr | replace (const DenseMap< AffineExpr, AffineExpr > &map) const |
Sparse replace method. More... | |
AffineExpr | shiftDims (unsigned numDims, unsigned shift, unsigned offset=0) const |
Replace dims[offset ... More... | |
AffineExpr | shiftSymbols (unsigned numSymbols, unsigned shift, unsigned offset=0) const |
Replace symbols[offset ... More... | |
AffineExpr | operator+ (int64_t v) const |
AffineExpr | operator+ (AffineExpr other) const |
AffineExpr | operator- () const |
AffineExpr | operator- (int64_t v) const |
AffineExpr | operator- (AffineExpr other) const |
AffineExpr | operator* (int64_t v) const |
AffineExpr | operator* (AffineExpr other) const |
AffineExpr | floorDiv (uint64_t v) const |
AffineExpr | floorDiv (AffineExpr other) const |
AffineExpr | ceilDiv (uint64_t v) const |
AffineExpr | ceilDiv (AffineExpr other) const |
AffineExpr | operator% (uint64_t v) const |
AffineExpr | operator% (AffineExpr other) const |
AffineExpr | compose (AffineMap map) const |
Compose with an AffineMap. More... | |
const void * | getAsOpaquePointer () const |
Methods supporting C API. More... | |
ImplType * | getImpl () const |
Static Public Member Functions | |
static AffineExpr | getFromOpaquePointer (const void *pointer) |
Protected Attributes | |
ImplType * | expr {nullptr} |
Friends | |
::llvm::hash_code | hash_value (AffineExpr arg) |
Make AffineExpr hashable. More... | |
Base type for affine expression.
AffineExpr's are immutable value types with intuitive operators to operate on chainable, lightweight compositions. An AffineExpr is an interface to the underlying storage type pointer.
Definition at line 69 of file AffineExpr.h.
Definition at line 71 of file AffineExpr.h.
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inlineconstexpr |
Definition at line 73 of file AffineExpr.h.
Referenced by getFromOpaquePointer().
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inline |
Definition at line 74 of file AffineExpr.h.
U mlir::AffineExpr::cast |
Definition at line 312 of file AffineExpr.h.
AffineExpr AffineExpr::ceilDiv | ( | AffineExpr | other | ) | const |
Definition at line 929 of file AffineExpr.cpp.
References mlir::CeilDiv, mlir::StorageUniquer::get(), mlir::MLIRContext::getAffineUniquer(), getContext(), and simplifyCeilDiv().
AffineExpr AffineExpr::ceilDiv | ( | uint64_t | v | ) | const |
Definition at line 926 of file AffineExpr.cpp.
References mlir::getAffineConstantExpr(), and getContext().
Referenced by calculateTileOffsetsAndSizes(), mlir::affine::AffineBuilder::ceil(), mlir::affine::getTripCountMapAndOperands(), and mlir::linalg::packMatmulGreedily().
AffineExpr AffineExpr::compose | ( | AffineMap | map | ) | const |
Compose with an AffineMap.
Returns the composition of this AffineExpr with map
.
Prerequisites: this
and map
are composable, i.e. that the number of AffineDimExpr of this
is smaller than the number of results of map
. If a result of a map does not have a corresponding AffineDimExpr, that result simply does not appear in the produced AffineExpr.
Example: expr: d0 + d2
map: (d0, d1, d2)[s0, s1] -> (d0 + s1, d1 + s0, d0 + d1 + d2)
returned expr: d0 * 2 + d1 + d2 + s1
Definition at line 994 of file AffineExpr.cpp.
References mlir::AffineMap::getResults(), and replaceDimsAndSymbols().
Referenced by mlir::AffineMap::compose().
void AffineExpr::dump | ( | ) | const |
Definition at line 3837 of file AsmPrinter.cpp.
U mlir::AffineExpr::dyn_cast |
Definition at line 304 of file AffineExpr.h.
U mlir::AffineExpr::dyn_cast_or_null |
Definition at line 308 of file AffineExpr.h.
AffineExpr AffineExpr::floorDiv | ( | AffineExpr | other | ) | const |
Definition at line 886 of file AffineExpr.cpp.
References mlir::FloorDiv, mlir::StorageUniquer::get(), mlir::MLIRContext::getAffineUniquer(), getContext(), and simplifyFloorDiv().
AffineExpr AffineExpr::floorDiv | ( | uint64_t | v | ) | const |
Definition at line 883 of file AffineExpr.cpp.
References mlir::getAffineConstantExpr(), and getContext().
Referenced by mlir::affine::coalesceLoops(), common3DIdBuilderFn(), commonLinearIdBuilderFn(), mlir::delinearize(), mlir::affine::AffineBuilder::floor(), getCompressedMaskOp(), mlir::affine::getDivMod(), getExpandedOutputDimFromInputShape(), getIndicesForLoadOrStore(), mlir::nvgpu::getLaneIdAndValueIdToOperandCoord(), mlir::nvgpu::getLaneIdToLdMatrixMatrixCoord(), mlir::memref::getLinearizedMemRefOffsetAndSize(), getRegisterIndexToTileOffsetMap(), simplifyExprAndOperands(), and mlir::SimpleAffineExprFlattener::visitModExpr().
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MLIRContext * AffineExpr::getContext | ( | ) | const |
Definition at line 25 of file AffineExpr.cpp.
Referenced by ceilDiv(), mlir::delinearize(), floorDiv(), mlir::AffineMap::get(), mlir::detail::TileOffsetRangeImpl::getDynamicTileOffsets(), getStridesAndOffset(), mlir::isBatchMatvec(), mlir::isBatchVecmat(), mlir::isColumnMajorMatmul(), mlir::isMatvec(), isModOfModSubtraction(), mlir::isRowMajorBatchMatmul(), mlir::isRowMajorMatmul(), mlir::isVecmat(), operator%(), operator*(), operator+(), operator-(), operator==(), simplifyAdd(), mlir::simplifyAffineExpr(), simplifyCeilDiv(), simplifyExprAndOperands(), simplifyFloorDiv(), simplifyMinOrMaxExprWithOperands(), simplifyMod(), simplifyMul(), simplifySemiAffine(), symbolicDivide(), mlir::sparse_tensor::ir_detail::DimLvlExpr::tryGetContext(), mlir::SimpleAffineExprFlattener::visitModExpr(), and mlir::SimpleAffineExprFlattener::visitMulExpr().
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inlinestatic |
Definition at line 202 of file AffineExpr.h.
References AffineExpr().
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inline |
Definition at line 207 of file AffineExpr.h.
References expr.
AffineExprKind AffineExpr::getKind | ( | ) | const |
Return the classification for this type.
Definition at line 27 of file AffineExpr.cpp.
Referenced by checkOperandAffineExprRecursively(), findAffine(), findDepIdxSet(), mlir::sparse_tensor::LoopEmitter::genAffine(), genIndex(), mlir::sparse_tensor::genMapBuffers(), mlir::sparse_tensor::ir_detail::DimLvlExpr::getAffineKind(), isa(), isDivisibleBySymbol(), isInvariantAffine(), isModOfModSubtraction(), llvm::CastInfo< To, From, std::enable_if_t< std::is_same_v< mlir::AffineExpr, std::remove_const_t< From > >||std::is_base_of_v< mlir::AffineExpr, From > > >::isPossible(), mlir::AsmPrinter::Impl::printAffineExprInternal(), simplifyAdd(), simplifyExprAndOperands(), simplifySemiAffine(), symbolicDivide(), mlir::AffineExprVisitorBase< SubClass, RetTy >::visit(), mlir::AffineExprVisitor< SubClass, RetTy >::walkPostOrder(), and mlir::AffineExprVisitor< SubClass, LogicalResult >::walkPostOrder().
int64_t AffineExpr::getLargestKnownDivisor | ( | ) | const |
Returns the greatest known integral divisor of this affine expression.
The result is always positive.
Definition at line 235 of file AffineExpr.cpp.
References mlir::presburger::abs(), mlir::Add, mlir::CeilDiv, mlir::Constant, mlir::DimId, mlir::FloorDiv, mlir::presburger::gcd(), getLargestKnownDivisor(), mlir::AffineBinaryOpExpr::getLHS(), mlir::AffineBinaryOpExpr::getRHS(), mlir::Mod, mlir::Mul, and mlir::SymbolId.
Referenced by getLargestKnownDivisor(), getLargestKnownDivisor(), isMultipleOf(), and simplifyMod().
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constexpr |
Definition at line 293 of file AffineExpr.h.
References mlir::Constant, mlir::DimId, getKind(), mlir::LAST_AFFINE_BINARY_OP, and mlir::SymbolId.
bool AffineExpr::isFunctionOfDim | ( | unsigned | position | ) | const |
Return true if the affine expression involves AffineDimExpr position
.
Definition at line 308 of file AffineExpr.cpp.
References mlir::DimId, mlir::getAffineDimExpr(), and getContext().
Referenced by getFirstResultIndexFunctionOf(), mlir::affine::AffineValueMap::isFunctionOf(), and mlir::AffineMap::isFunctionOfDim().
bool AffineExpr::isFunctionOfSymbol | ( | unsigned | position | ) | const |
Return true if the affine expression involves AffineSymbolExpr position
.
Definition at line 319 of file AffineExpr.cpp.
References mlir::getAffineSymbolExpr(), getContext(), and mlir::SymbolId.
Referenced by mlir::AffineMap::isFunctionOfSymbol().
bool AffineExpr::isMultipleOf | ( | int64_t | factor | ) | const |
Return true if the affine expression is a multiple of 'factor'.
Definition at line 275 of file AffineExpr.cpp.
References mlir::Add, mlir::CeilDiv, mlir::Constant, mlir::DimId, mlir::FloorDiv, mlir::presburger::gcd(), getLargestKnownDivisor(), mlir::AffineBinaryOpExpr::getLHS(), mlir::AffineBinaryOpExpr::getRHS(), mlir::Mod, mlir::Mul, and mlir::SymbolId.
bool AffineExpr::isPureAffine | ( | ) | const |
Returns true if this is a pure affine expression, i.e., multiplication, floordiv, ceildiv, and mod is only allowed w.r.t constants.
Definition at line 204 of file AffineExpr.cpp.
References mlir::Add, mlir::Constant, mlir::DimId, and mlir::SymbolId.
Referenced by mlir::simplifyAffineExpr().
bool AffineExpr::isSymbolicOrConstant | ( | ) | const |
Returns true if this expression is made out of only symbols and constants, i.e., it does not involve dimensional identifiers.
Returns true if this expression is made out of only symbols and constants (no dimensional identifiers).
Definition at line 180 of file AffineExpr.cpp.
References mlir::Add, mlir::CeilDiv, mlir::Constant, mlir::DimId, mlir::FloorDiv, mlir::Mod, mlir::Mul, and mlir::SymbolId.
Referenced by simplifyAdd(), and simplifyMul().
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inlineexplicit |
Definition at line 81 of file AffineExpr.h.
References expr.
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inline |
Definition at line 83 of file AffineExpr.h.
References expr.
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inline |
Definition at line 78 of file AffineExpr.h.
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inline |
Definition at line 80 of file AffineExpr.h.
AffineExpr AffineExpr::operator% | ( | AffineExpr | other | ) | const |
Definition at line 985 of file AffineExpr.cpp.
References mlir::StorageUniquer::get(), mlir::MLIRContext::getAffineUniquer(), getContext(), mlir::Mod, and simplifyMod().
AffineExpr AffineExpr::operator% | ( | uint64_t | v | ) | const |
Definition at line 982 of file AffineExpr.cpp.
References mlir::getAffineConstantExpr(), and getContext().
AffineExpr AffineExpr::operator* | ( | AffineExpr | other | ) | const |
Definition at line 820 of file AffineExpr.cpp.
References mlir::StorageUniquer::get(), mlir::MLIRContext::getAffineUniquer(), getContext(), mlir::Mul, and simplifyMul().
AffineExpr AffineExpr::operator* | ( | int64_t | v | ) | const |
Definition at line 817 of file AffineExpr.cpp.
References mlir::getAffineConstantExpr(), and getContext().
AffineExpr AffineExpr::operator+ | ( | AffineExpr | other | ) | const |
Definition at line 759 of file AffineExpr.cpp.
References mlir::Add, mlir::StorageUniquer::get(), mlir::MLIRContext::getAffineUniquer(), getContext(), and simplifyAdd().
AffineExpr AffineExpr::operator+ | ( | int64_t | v | ) | const |
Definition at line 756 of file AffineExpr.cpp.
References mlir::getAffineConstantExpr(), and getContext().
AffineExpr AffineExpr::operator- | ( | ) | const |
Definition at line 830 of file AffineExpr.cpp.
References mlir::getAffineConstantExpr(), and getContext().
AffineExpr AffineExpr::operator- | ( | AffineExpr | other | ) | const |
Definition at line 836 of file AffineExpr.cpp.
AffineExpr AffineExpr::operator- | ( | int64_t | v | ) | const |
Definition at line 835 of file AffineExpr.cpp.
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inline |
Definition at line 77 of file AffineExpr.h.
References expr.
bool AffineExpr::operator== | ( | int64_t | v | ) | const |
Definition at line 619 of file AffineExpr.cpp.
References mlir::getAffineConstantExpr(), and getContext().
void AffineExpr::print | ( | raw_ostream & | os | ) | const |
Definition at line 3828 of file AsmPrinter.cpp.
Referenced by mlir::operator<<().
AffineExpr AffineExpr::replace | ( | AffineExpr | expr, |
AffineExpr | replacement | ||
) | const |
Sparse replace method.
Sparse replace method. Return the modified expression tree.
Replace expr
by replacement
and return the modified expression tree.
Definition at line 173 of file AffineExpr.cpp.
AffineExpr AffineExpr::replace | ( | const DenseMap< AffineExpr, AffineExpr > & | map | ) | const |
Sparse replace method.
Sparse replace method. Return the modified expression tree.
If *this
appears in map
replaces it by map[*this]
and return the modified expression tree. Otherwise traverse *this
and apply replace with map
on its subexpressions.
Definition at line 149 of file AffineExpr.cpp.
References mlir::Add, mlir::CeilDiv, mlir::FloorDiv, mlir::getAffineBinaryOpExpr(), mlir::Mod, and mlir::Mul.
AffineExpr AffineExpr::replaceDims | ( | ArrayRef< AffineExpr > | dimReplacements | ) | const |
Dim-only version of replaceDimsAndSymbols.
Definition at line 114 of file AffineExpr.cpp.
Referenced by projectCommonImpl().
AffineExpr AffineExpr::replaceDimsAndSymbols | ( | ArrayRef< AffineExpr > | dimReplacements, |
ArrayRef< AffineExpr > | symReplacements | ||
) | const |
This method substitutes any uses of dimensions and symbols (e.g.
dim#0 with dimReplacements[0]) and returns the modified expression tree. This is a dense replacement method: a replacement must be specified for every single dim and symbol.
dim#0 with dimReplacements[0]) and returns the modified expression tree.
Definition at line 81 of file AffineExpr.cpp.
References mlir::Add, mlir::CeilDiv, mlir::Constant, mlir::DimId, mlir::FloorDiv, mlir::getAffineBinaryOpExpr(), mlir::Mod, mlir::Mul, and mlir::SymbolId.
Referenced by compose(), mlir::ValueBoundsConstraintSet::insert(), and mlir::AffineMap::replaceDimsAndSymbols().
AffineExpr AffineExpr::replaceSymbols | ( | ArrayRef< AffineExpr > | symReplacements | ) | const |
Symbol-only version of replaceDimsAndSymbols.
Definition at line 119 of file AffineExpr.cpp.
Referenced by projectCommonImpl().
AffineExpr AffineExpr::shiftDims | ( | unsigned | numDims, |
unsigned | shift, | ||
unsigned | offset = 0 |
||
) | const |
Replace dims[offset ...
numDims) by dims[offset + shift ... shift + numDims).
Definition at line 125 of file AffineExpr.cpp.
References mlir::getAffineDimExpr(), and getContext().
Referenced by mlir::AffineMap::shiftDims().
AffineExpr AffineExpr::shiftSymbols | ( | unsigned | numSymbols, |
unsigned | shift, | ||
unsigned | offset = 0 |
||
) | const |
Replace symbols[offset ...
numSymbols) by symbols[offset + shift ... shift + numSymbols).
Definition at line 137 of file AffineExpr.cpp.
References mlir::getAffineSymbolExpr(), and getContext().
Referenced by mlir::AffineMap::shiftSymbols().
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inline |
Walk all of the AffineExpr's in this expression in postorder.
This allows a lambda walk function that can either return void
or a WalkResult. With a WalkResult, interrupting is supported.
Definition at line 131 of file AffineExpr.h.
Referenced by isNormalizedMemRefDynamicDim(), and mlir::AffineMap::walkExprs().
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friend |
Make AffineExpr hashable.
Definition at line 261 of file AffineExpr.h.
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protected |
Definition at line 210 of file AffineExpr.h.
Referenced by getAsOpaquePointer(), getImpl(), mlir::AffineBinaryOpExpr::getLHS(), mlir::AffineDimExpr::getPosition(), mlir::AffineSymbolExpr::getPosition(), mlir::AffineBinaryOpExpr::getRHS(), mlir::AffineConstantExpr::getValue(), operator bool(), operator!(), and operator==().