AffineOps.cpp

Go to the documentation of this file.

//===- AffineOps.cpp - MLIR Affine Operations -----------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
 
#include "mlir/Dialect/Affine/IR/AffineOps.h"
#include "mlir/Dialect/Affine/IR/AffineValueMap.h"
#include "mlir/Dialect/MemRef/IR/MemRef.h"
#include "mlir/Dialect/UB/IR/UBOps.h"
#include "mlir/Dialect/Utils/StaticValueUtils.h"
#include "mlir/IR/AffineExpr.h"
#include "mlir/IR/AffineExprVisitor.h"
#include "mlir/IR/IRMapping.h"
#include "mlir/IR/IntegerSet.h"
#include "mlir/IR/Matchers.h"
#include "mlir/IR/OpDefinition.h"
#include "mlir/IR/PatternMatch.h"
#include "mlir/IR/Value.h"
#include "mlir/Interfaces/ShapedOpInterfaces.h"
#include "mlir/Interfaces/ValueBoundsOpInterface.h"
#include "mlir/Transforms/InliningUtils.h"
#include "llvm/ADT/STLExtras.h"
#include "llvm/ADT/SmallBitVector.h"
#include "llvm/ADT/SmallVectorExtras.h"
#include "llvm/ADT/TypeSwitch.h"
#include "llvm/Support/DebugLog.h"
#include "llvm/Support/LogicalResult.h"
#include "llvm/Support/MathExtras.h"
#include <numeric>
#include <optional>
 
using namespace mlir;
using namespace mlir::affine;
 
using llvm::divideCeilSigned;
using llvm::divideFloorSigned;
using llvm::mod;
 
#define DEBUG_TYPE "affine-ops"
 
#include "mlir/Dialect/Affine/IR/AffineOpsDialect.cpp.inc"
 
/// A utility function to check if a value is defined at the top level of
/// `region` or is an argument of `region`. A value of index type defined at the
/// top level of a `AffineScope` region is always a valid symbol for all
/// uses in that region.
bool mlir::affine::isTopLevelValue(Value value, Region *region) {
  if (auto arg = dyn_cast<BlockArgument>(value))
    return arg.getParentRegion() == region;
  return value.getDefiningOp()->getParentRegion() == region;
}
 
/// Checks if `value` known to be a legal affine dimension or symbol in `src`
/// region remains legal if the operation that uses it is inlined into `dest`
/// with the given value mapping. `legalityCheck` is either `isValidDim` or
/// `isValidSymbol`, depending on the value being required to remain a valid
/// dimension or symbol.
static bool
remainsLegalAfterInline(Value value, Region *src, Region *dest,
                        const IRMapping &mapping,
                        function_ref<bool(Value, Region *)> legalityCheck) {
  // If the value is a valid dimension for any other reason than being
  // a top-level value, it will remain valid: constants get inlined
  // with the function, transitive affine applies also get inlined and
  // will be checked themselves, etc.
  if (!isTopLevelValue(value, src))
    return true;
 
  // If it's a top-level value because it's a block operand, i.e. a
  // function argument, check whether the value replacing it after
  // inlining is a valid dimension in the new region.
  if (llvm::isa<BlockArgument>(value))
    return legalityCheck(mapping.lookup(value), dest);
 
  // If it's a top-level value because it's defined in the region,
  // it can only be inlined if the defining op is a constant or a
  // `dim`, which can appear anywhere and be valid, since the defining
  // op won't be top-level anymore after inlining.
  Attribute operandCst;
  bool isDimLikeOp = isa<ShapedDimOpInterface>(value.getDefiningOp());
  return matchPattern(value.getDefiningOp(), m_Constant(&operandCst)) ||
         isDimLikeOp;
}
 
/// Checks if all values known to be legal affine dimensions or symbols in `src`
/// remain so if their respective users are inlined into `dest`.
static bool
remainsLegalAfterInline(ValueRange values, Region *src, Region *dest,
                        const IRMapping &mapping,
                        function_ref<bool(Value, Region *)> legalityCheck) {
  return llvm::all_of(values, [&](Value v) {
    return remainsLegalAfterInline(v, src, dest, mapping, legalityCheck);
  });
}
 
/// Checks if an affine read or write operation remains legal after inlining
/// from `src` to `dest`.
template <typename OpTy>
static bool remainsLegalAfterInline(OpTy op, Region *src, Region *dest,
                                    const IRMapping &mapping) {
  static_assert(llvm::is_one_of<OpTy, AffineReadOpInterface,
                                AffineWriteOpInterface>::value,
                "only ops with affine read/write interface are supported");
 
  AffineMap map = op.getAffineMap();
  ValueRange dimOperands = op.getMapOperands().take_front(map.getNumDims());
  ValueRange symbolOperands =
      op.getMapOperands().take_back(map.getNumSymbols());
  if (!remainsLegalAfterInline(
          dimOperands, src, dest, mapping,
          static_cast<bool (*)(Value, Region *)>(isValidDim)))
    return false;
  if (!remainsLegalAfterInline(
          symbolOperands, src, dest, mapping,
          static_cast<bool (*)(Value, Region *)>(isValidSymbol)))
    return false;
  return true;
}
 
/// Checks if an affine apply operation remains legal after inlining from `src`
/// to `dest`.
//  Use "unused attribute" marker to silence clang-tidy warning stemming from
//  the inability to see through "llvm::TypeSwitch".
template <>
[[maybe_unused]] bool remainsLegalAfterInline(AffineApplyOp op, Region *src,
                                              Region *dest,
                                              const IRMapping &mapping) {
  // If it's a valid dimension, we need to check that it remains so.
  if (isValidDim(op.getResult(), src))
    return remainsLegalAfterInline(
        op.getMapOperands(), src, dest, mapping,
        static_cast<bool (*)(Value, Region *)>(isValidDim));
 
  // Otherwise it must be a valid symbol, check that it remains so.
  return remainsLegalAfterInline(
      op.getMapOperands(), src, dest, mapping,
      static_cast<bool (*)(Value, Region *)>(isValidSymbol));
}
 
//===----------------------------------------------------------------------===//
// AffineDialect Interfaces
//===----------------------------------------------------------------------===//
 
namespace {
/// This class defines the interface for handling inlining with affine
/// operations.
struct AffineInlinerInterface : public DialectInlinerInterface {
  using DialectInlinerInterface::DialectInlinerInterface;
 
  //===--------------------------------------------------------------------===//
  // Analysis Hooks
  //===--------------------------------------------------------------------===//
 
  /// Returns true if the given region 'src' can be inlined into the region
  /// 'dest' that is attached to an operation registered to the current dialect.
  /// 'wouldBeCloned' is set if the region is cloned into its new location
  /// rather than moved, indicating there may be other users.
  bool isLegalToInline(Region *dest, Region *src, bool wouldBeCloned,
                       IRMapping &valueMapping) const final {
    // We can inline into affine loops and conditionals if this doesn't break
    // affine value categorization rules.
    Operation *destOp = dest->getParentOp();
    if (!isa<AffineParallelOp, AffineForOp, AffineIfOp>(destOp))
      return false;
 
    // Multi-block regions cannot be inlined into affine constructs, all of
    // which require single-block regions.
    if (!src->hasOneBlock())
      return false;
 
    // Side-effecting operations that the affine dialect cannot understand
    // should not be inlined.
    Block &srcBlock = src->front();
    for (Operation &op : srcBlock) {
      // Ops with no side effects are fine,
      if (auto iface = dyn_cast<MemoryEffectOpInterface>(op)) {
        if (iface.hasNoEffect())
          continue;
      }
 
      // Assuming the inlined region is valid, we only need to check if the
      // inlining would change it.
      bool remainsValid =
          llvm::TypeSwitch<Operation *, bool>(&op)
              .Case<AffineApplyOp, AffineReadOpInterface,
                    AffineWriteOpInterface>([&](auto op) {
                return remainsLegalAfterInline(op, src, dest, valueMapping);
              })
              .Default([](Operation *) {
                // Conservatively disallow inlining ops we cannot reason about.
                return false;
              });
 
      if (!remainsValid)
        return false;
    }
 
    return true;
  }
 
  /// Returns true if the given operation 'op', that is registered to this
  /// dialect, can be inlined into the given region, false otherwise.
  bool isLegalToInline(Operation *op, Region *region, bool wouldBeCloned,
                       IRMapping &valueMapping) const final {
    // Always allow inlining affine operations into a region that is marked as
    // affine scope, or into affine loops and conditionals. There are some edge
    // cases when inlining *into* affine structures, but that is handled in the
    // other 'isLegalToInline' hook above.
    Operation *parentOp = region->getParentOp();
    return parentOp->hasTrait<OpTrait::AffineScope>() ||
           isa<AffineForOp, AffineParallelOp, AffineIfOp>(parentOp);
  }
 
  /// Affine regions should be analyzed recursively.
  bool shouldAnalyzeRecursively(Operation *op) const final { return true; }
};
} // namespace
 
//===----------------------------------------------------------------------===//
// AffineDialect
//===----------------------------------------------------------------------===//
 
void AffineDialect::initialize() {
  addOperations<
#define GET_OP_LIST
#include "mlir/Dialect/Affine/IR/AffineOps.cpp.inc"
      >();
  addInterfaces<AffineInlinerInterface>();
  declarePromisedInterfaces<ValueBoundsOpInterface, AffineApplyOp, AffineMaxOp,
                            AffineMinOp>();
}
 
/// Materialize a single constant operation from a given attribute value with
/// the desired resultant type.
Operation *AffineDialect::materializeConstant(OpBuilder &builder,
                                              Attribute value, Type type,
                                              Location loc) {
  if (auto poison = dyn_cast<ub::PoisonAttr>(value))
    return ub::PoisonOp::create(builder, loc, type, poison);
  return arith::ConstantOp::materialize(builder, value, type, loc);
}
 
/// A utility function to check if a value is defined at the top level of an
/// op with trait `AffineScope`. If the value is defined in an unlinked region,
/// conservatively assume it is not top-level. A value of index type defined at
/// the top level is always a valid symbol.
bool mlir::affine::isTopLevelValue(Value value) {
  if (auto arg = dyn_cast<BlockArgument>(value)) {
    // The block owning the argument may be unlinked, e.g. when the surrounding
    // region has not yet been attached to an Op, at which point the parent Op
    // is null.
    Operation *parentOp = arg.getOwner()->getParentOp();
    return parentOp && parentOp->hasTrait<OpTrait::AffineScope>();
  }
  // The defining Op may live in an unlinked block so its parent Op may be null.
  Operation *parentOp = value.getDefiningOp()->getParentOp();
  return parentOp && parentOp->hasTrait<OpTrait::AffineScope>();
}
 
/// Returns the closest region enclosing `op` that is held by an operation with
/// trait `AffineScope`; `nullptr` if there is no such region.
Region *mlir::affine::getAffineScope(Operation *op) {
  auto *curOp = op;
  while (auto *parentOp = curOp->getParentOp()) {
    if (parentOp->hasTrait<OpTrait::AffineScope>())
      return curOp->getParentRegion();
    curOp = parentOp;
  }
  return nullptr;
}
 
Region *mlir::affine::getAffineAnalysisScope(Operation *op) {
  Operation *curOp = op;
  while (auto *parentOp = curOp->getParentOp()) {
    if (!isa<AffineForOp, AffineIfOp, AffineParallelOp>(parentOp))
      return curOp->getParentRegion();
    curOp = parentOp;
  }
  return nullptr;
}
 
// A Value can be used as a dimension id iff it meets one of the following
// conditions:
// *) It is valid as a symbol.
// *) It is an induction variable.
// *) It is the result of affine apply operation with dimension id arguments.
bool mlir::affine::isValidDim(Value value) {
  // The value must be an index type.
  if (!value.getType().isIndex())
    return false;
 
  if (auto *defOp = value.getDefiningOp())
    return isValidDim(value, getAffineScope(defOp));
 
  // This value has to be a block argument for an op that has the
  // `AffineScope` trait or an induction var of an affine.for or
  // affine.parallel.
  if (isAffineInductionVar(value))
    return true;
  auto *parentOp = llvm::cast<BlockArgument>(value).getOwner()->getParentOp();
  return parentOp && parentOp->hasTrait<OpTrait::AffineScope>();
}
 
// Value can be used as a dimension id iff it meets one of the following
// conditions:
// *) It is valid as a symbol.
// *) It is an induction variable.
// *) It is the result of an affine apply operation with dimension id operands.
// *) It is the result of a more specialized index transformation (ex.
// delinearize_index or linearize_index) with dimension id operands.
bool mlir::affine::isValidDim(Value value, Region *region) {
  // The value must be an index type.
  if (!value.getType().isIndex())
    return false;
 
  // All valid symbols are okay.
  if (isValidSymbol(value, region))
    return true;
 
  auto *op = value.getDefiningOp();
  if (!op) {
    // This value has to be an induction var for an affine.for or an
    // affine.parallel.
    return isAffineInductionVar(value);
  }
 
  // Affine apply operation is ok if all of its operands are ok.
  if (auto applyOp = dyn_cast<AffineApplyOp>(op))
    return applyOp.isValidDim(region);
  // delinearize_index and linearize_index are special forms of apply
  // and so are valid dimensions if all their arguments are valid dimensions.
  if (isa<AffineDelinearizeIndexOp, AffineLinearizeIndexOp>(op))
    return llvm::all_of(op->getOperands(),
                        [&](Value arg) { return ::isValidDim(arg, region); });
  // The dim op is okay if its operand memref/tensor is defined at the top
  // level.
  if (auto dimOp = dyn_cast<ShapedDimOpInterface>(op))
    return isTopLevelValue(dimOp.getShapedValue());
  return false;
}
 
/// Returns true if the 'index' dimension of the `memref` defined by
/// `memrefDefOp` is a statically  shaped one or defined using a valid symbol
/// for `region`.
template <typename AnyMemRefDefOp>
static bool isMemRefSizeValidSymbol(AnyMemRefDefOp memrefDefOp, unsigned index,
                                    Region *region) {
  MemRefType memRefType = memrefDefOp.getType();
 
  // Dimension index is out of bounds.
  if (index >= memRefType.getRank()) {
    return false;
  }
 
  // Statically shaped.
  if (!memRefType.isDynamicDim(index))
    return true;
  // Get the position of the dimension among dynamic dimensions;
  unsigned dynamicDimPos = memRefType.getDynamicDimIndex(index);
  return isValidSymbol(*(memrefDefOp.getDynamicSizes().begin() + dynamicDimPos),
                       region);
}
 
/// Returns true if the result of the dim op is a valid symbol for `region`.
static bool isDimOpValidSymbol(ShapedDimOpInterface dimOp, Region *region) {
  // The dim op is okay if its source is defined at the top level.
  if (isTopLevelValue(dimOp.getShapedValue()))
    return true;
 
  // Conservatively handle remaining BlockArguments as non-valid symbols.
  // E.g. scf.for iterArgs.
  if (llvm::isa<BlockArgument>(dimOp.getShapedValue()))
    return false;
 
  // The dim op is also okay if its operand memref is a view/subview whose
  // corresponding size is a valid symbol.
  std::optional<int64_t> index = getConstantIntValue(dimOp.getDimension());
 
  // Be conservative if we can't understand the dimension.
  if (!index.has_value())
    return false;
 
  // Skip over all memref.cast ops (if any).
  Operation *op = dimOp.getShapedValue().getDefiningOp();
  while (auto castOp = dyn_cast<memref::CastOp>(op)) {
    // Bail on unranked memrefs.
    if (isa<UnrankedMemRefType>(castOp.getSource().getType()))
      return false;
    op = castOp.getSource().getDefiningOp();
    if (!op)
      return false;
  }
 
  int64_t i = index.value();
  return TypeSwitch<Operation *, bool>(op)
      .Case<memref::ViewOp, memref::SubViewOp, memref::AllocOp>(
          [&](auto op) { return isMemRefSizeValidSymbol(op, i, region); })
      .Default([](Operation *) { return false; });
}
 
// A value can be used as a symbol (at all its use sites) iff it meets one of
// the following conditions:
// *) It is a constant.
// *) Its defining op or block arg appearance is immediately enclosed by an op
//    with `AffineScope` trait.
// *) It is the result of an affine.apply operation with symbol operands.
// *) It is a result of the dim op on a memref whose corresponding size is a
//    valid symbol.
bool mlir::affine::isValidSymbol(Value value) {
  if (!value)
    return false;
 
  // The value must be an index type.
  if (!value.getType().isIndex())
    return false;
 
  // Check that the value is a top level value.
  if (isTopLevelValue(value))
    return true;
 
  if (auto *defOp = value.getDefiningOp())
    return isValidSymbol(value, getAffineScope(defOp));
 
  return false;
}
 
/// A utility function to check if a value is defined at the top level of
/// `region` or is an argument of `region` or is defined above the region.
static bool isTopLevelValueOrAbove(Value value, Region *region) {
  Region *parentRegion = value.getParentRegion();
  do {
    if (parentRegion == region)
      return true;
    Operation *regionOp = region->getParentOp();
    if (regionOp->hasTrait<OpTrait::IsIsolatedFromAbove>())
      break;
    region = region->getParentOp()->getParentRegion();
  } while (region);
  return false;
}
 
/// A value can be used as a symbol for `region` iff it meets one of the
/// following conditions:
/// *) It is a constant.
/// *) It is a result of a `Pure` operation whose operands are valid symbolic
/// *) identifiers.
/// *) It is a result of the dim op on a memref whose corresponding size is
///    a valid symbol.
/// *) It is defined at the top level of 'region' or is its argument.
/// *) It dominates `region`'s parent op.
/// If `region` is null, conservatively assume the symbol definition scope does
/// not exist and only accept the values that would be symbols regardless of
/// the surrounding region structure, i.e. the first three cases above.
bool mlir::affine::isValidSymbol(Value value, Region *region) {
  // The value must be an index type.
  if (!value.getType().isIndex())
    return false;
 
  // A top-level value is a valid symbol.
  if (region && isTopLevelValueOrAbove(value, region))
    return true;
 
  auto *defOp = value.getDefiningOp();
  if (!defOp)
    return false;
 
  // Constant operation is ok.
  Attribute operandCst;
  if (matchPattern(defOp, m_Constant(&operandCst)))
    return true;
 
  // `Pure` operation that whose operands are valid symbolic identifiers.
  if (isPure(defOp) && llvm::all_of(defOp->getOperands(), [&](Value operand) {
        return affine::isValidSymbol(operand, region);
      })) {
    return true;
  }
 
  // Dim op results could be valid symbols at any level.
  if (auto dimOp = dyn_cast<ShapedDimOpInterface>(defOp))
    return isDimOpValidSymbol(dimOp, region);
 
  return false;
}
 
// Returns true if 'value' is a valid index to an affine operation (e.g.
// affine.load, affine.store, affine.dma_start, affine.dma_wait) where
// `region` provides the polyhedral symbol scope. Returns false otherwise.
static bool isValidAffineIndexOperand(Value value, Region *region) {
  return isValidDim(value, region) || isValidSymbol(value, region);
}
 
/// Prints dimension and symbol list.
static void printDimAndSymbolList(Operation::operand_iterator begin,
                                  Operation::operand_iterator end,
                                  unsigned numDims, OpAsmPrinter &printer) {
  OperandRange operands(begin, end);
  printer << '(' << operands.take_front(numDims) << ')';
  if (operands.size() > numDims)
    printer << '[' << operands.drop_front(numDims) << ']';
}
 
/// Parses dimension and symbol list and returns true if parsing failed.
ParseResult mlir::affine::parseDimAndSymbolList(
    OpAsmParser &parser, SmallVectorImpl<Value> &operands, unsigned &numDims) {
  SmallVector<OpAsmParser::UnresolvedOperand, 8> opInfos;
  if (parser.parseOperandList(opInfos, OpAsmParser::Delimiter::Paren))
    return failure();
  // Store number of dimensions for validation by caller.
  numDims = opInfos.size();
 
  // Parse the optional symbol operands.
  auto indexTy = parser.getBuilder().getIndexType();
  return failure(parser.parseOperandList(
                     opInfos, OpAsmParser::Delimiter::OptionalSquare) ||
                 parser.resolveOperands(opInfos, indexTy, operands));
}
 
/// Utility function to verify that a set of operands are valid dimension and
/// symbol identifiers. The operands should be laid out such that the dimension
/// operands are before the symbol operands. This function returns failure if
/// there was an invalid operand. An operation is provided to emit any necessary
/// errors.
template <typename OpTy>
static LogicalResult
verifyDimAndSymbolIdentifiers(OpTy &op, Operation::operand_range operands,
                              unsigned numDims) {
  unsigned opIt = 0;
  for (auto operand : operands) {
    if (opIt++ < numDims) {
      if (!isValidDim(operand, getAffineScope(op)))
        return op.emitOpError("operand cannot be used as a dimension id");
    } else if (!isValidSymbol(operand, getAffineScope(op))) {
      return op.emitOpError("operand cannot be used as a symbol");
    }
  }
  return success();
}
 
//===----------------------------------------------------------------------===//
// AffineApplyOp
//===----------------------------------------------------------------------===//
 
AffineValueMap AffineApplyOp::getAffineValueMap() {
  return AffineValueMap(getAffineMap(), getOperands(), getResult());
}
 
ParseResult AffineApplyOp::parse(OpAsmParser &parser, OperationState &result) {
  auto &builder = parser.getBuilder();
  auto indexTy = builder.getIndexType();
 
  AffineMapAttr mapAttr;
  unsigned numDims;
  if (parser.parseAttribute(mapAttr, "map", result.attributes) ||
      parseDimAndSymbolList(parser, result.operands, numDims) ||
      parser.parseOptionalAttrDict(result.attributes))
    return failure();
  auto map = mapAttr.getValue();
 
  if (map.getNumDims() != numDims ||
      numDims + map.getNumSymbols() != result.operands.size()) {
    return parser.emitError(parser.getNameLoc(),
                            "dimension or symbol index mismatch");
  }
 
  result.types.append(map.getNumResults(), indexTy);
  return success();
}
 
void AffineApplyOp::print(OpAsmPrinter &p) {
  p << " " << getMapAttr();
  printDimAndSymbolList(operand_begin(), operand_end(),
                        getAffineMap().getNumDims(), p);
  p.printOptionalAttrDict((*this)->getDiscardableAttrDictionary().getValue());
}
 
LogicalResult AffineApplyOp::verify() {
  // Check input and output dimensions match.
  AffineMap affineMap = getMap();
 
  // Verify that operand count matches affine map dimension and symbol count.
  if (getNumOperands() != affineMap.getNumDims() + affineMap.getNumSymbols())
    return emitOpError(
        "operand count and affine map dimension and symbol count must match");
 
  // Verify that the map only produces one result.
  if (affineMap.getNumResults() != 1)
    return emitOpError("mapping must produce one value");
 
  // Do not allow valid dims to be used in symbol positions. We do allow
  // affine.apply to use operands for values that may neither qualify as affine
  // dims or affine symbols due to usage outside of affine ops, analyses, etc.
  Region *region = getAffineScope(*this);
  for (Value operand : getMapOperands().drop_front(affineMap.getNumDims())) {
    if (::isValidDim(operand, region) && !::isValidSymbol(operand, region))
      return emitError("dimensional operand cannot be used as a symbol");
  }
 
  return success();
}
 
// The result of the affine apply operation can be used as a dimension id if all
// its operands are valid dimension ids.
bool AffineApplyOp::isValidDim() {
  return llvm::all_of(getOperands(),
                      [](Value op) { return affine::isValidDim(op); });
}
 
// The result of the affine apply operation can be used as a dimension id if all
// its operands are valid dimension ids with the parent operation of `region`
// defining the polyhedral scope for symbols.
bool AffineApplyOp::isValidDim(Region *region) {
  return llvm::all_of(getOperands(),
                      [&](Value op) { return ::isValidDim(op, region); });
}
 
// The result of the affine apply operation can be used as a symbol if all its
// operands are symbols.
bool AffineApplyOp::isValidSymbol() {
  return llvm::all_of(getOperands(),
                      [](Value op) { return affine::isValidSymbol(op); });
}
 
// The result of the affine apply operation can be used as a symbol in `region`
// if all its operands are symbols in `region`.
bool AffineApplyOp::isValidSymbol(Region *region) {
  return llvm::all_of(getOperands(), [&](Value operand) {
    return affine::isValidSymbol(operand, region);
  });
}
 
OpFoldResult AffineApplyOp::fold(FoldAdaptor adaptor) {
  auto map = getAffineMap();
 
  // Fold dims and symbols to existing values.
  auto expr = map.getResult(0);
  if (auto dim = dyn_cast<AffineDimExpr>(expr))
    return getOperand(dim.getPosition());
  if (auto sym = dyn_cast<AffineSymbolExpr>(expr))
    return getOperand(map.getNumDims() + sym.getPosition());
 
  // Otherwise, default to folding the map.
  SmallVector<Attribute, 1> result;
  bool hasPoison = false;
  auto foldResult =
      map.constantFold(adaptor.getMapOperands(), result, &hasPoison);
  if (hasPoison)
    return ub::PoisonAttr::get(getContext());
  if (failed(foldResult))
    return {};
  return result[0];
}
 
/// Returns the largest known divisor of `e`. Exploits information from the
/// values in `operands`.
static int64_t getLargestKnownDivisor(AffineExpr e, ArrayRef<Value> operands) {
  // This method isn't aware of `operands`.
  int64_t div = e.getLargestKnownDivisor();
 
  // We now make use of operands for the case `e` is a dim expression.
  // TODO: More powerful simplification would have to modify
  // getLargestKnownDivisor to take `operands` and exploit that information as
  // well for dim/sym expressions, but in that case, getLargestKnownDivisor
  // can't be part of the IR library but of the `Analysis` library. The IR
  // library can only really depend on simple O(1) checks.
  auto dimExpr = dyn_cast<AffineDimExpr>(e);
  // If it's not a dim expr, `div` is the best we have.
  if (!dimExpr)
    return div;
 
  // We simply exploit information from loop IVs.
  // We don't need to use mlir::getLargestKnownDivisorOfValue since the other
  // desired simplifications are expected to be part of other
  // canonicalizations. Also, mlir::getLargestKnownDivisorOfValue is part of the
  // LoopAnalysis library.
  Value operand = operands[dimExpr.getPosition()];
  int64_t operandDivisor = 1;
  // TODO: With the right accessors, this can be extended to
  // LoopLikeOpInterface.
  if (AffineForOp forOp = getForInductionVarOwner(operand)) {
    if (forOp.hasConstantLowerBound() && forOp.getConstantLowerBound() == 0) {
      operandDivisor = forOp.getStepAsInt();
    } else {
      uint64_t lbLargestKnownDivisor =
          forOp.getLowerBoundMap().getLargestKnownDivisorOfMapExprs();
      operandDivisor = std::gcd(lbLargestKnownDivisor, forOp.getStepAsInt());
    }
  }
  return operandDivisor;
}
 
/// Check if `e` is known to be: 0 <= `e` < `k`. Handles the simple cases of `e`
/// being an affine dim expression or a constant.
static bool isNonNegativeBoundedBy(AffineExpr e, ArrayRef<Value> operands,
                                   int64_t k) {
  if (auto constExpr = dyn_cast<AffineConstantExpr>(e)) {
    int64_t constVal = constExpr.getValue();
    return constVal >= 0 && constVal < k;
  }
  auto dimExpr = dyn_cast<AffineDimExpr>(e);
  if (!dimExpr)
    return false;
  Value operand = operands[dimExpr.getPosition()];
  // TODO: With the right accessors, this can be extended to
  // LoopLikeOpInterface.
  if (AffineForOp forOp = getForInductionVarOwner(operand)) {
    if (forOp.hasConstantLowerBound() && forOp.getConstantLowerBound() >= 0 &&
        forOp.hasConstantUpperBound() && forOp.getConstantUpperBound() <= k) {
      return true;
    }
  }
 
  // We don't consider other cases like `operand` being defined by a constant or
  // an affine.apply op since such cases will already be handled by other
  // patterns and propagation of loop IVs or constant would happen.
  return false;
}
 
/// Check if expression `e` is of the form d*e_1 + e_2 where 0 <= e_2 < d.
/// Set `div` to `d`, `quotientTimesDiv` to e_1 and `rem` to e_2 if the
/// expression is in that form.
static bool isQTimesDPlusR(AffineExpr e, ArrayRef<Value> operands, int64_t &div,
                           AffineExpr &quotientTimesDiv, AffineExpr &rem) {
  auto bin = dyn_cast<AffineBinaryOpExpr>(e);
  if (!bin || bin.getKind() != AffineExprKind::Add)
    return false;
 
  AffineExpr llhs = bin.getLHS();
  AffineExpr rlhs = bin.getRHS();
  div = getLargestKnownDivisor(llhs, operands);
  if (isNonNegativeBoundedBy(rlhs, operands, div)) {
    quotientTimesDiv = llhs;
    rem = rlhs;
    return true;
  }
  div = getLargestKnownDivisor(rlhs, operands);
  if (isNonNegativeBoundedBy(llhs, operands, div)) {
    quotientTimesDiv = rlhs;
    rem = llhs;
    return true;
  }
  return false;
}
 
/// Gets the constant lower bound on an `iv`.
static std::optional<int64_t> getLowerBound(Value iv) {
  AffineForOp forOp = getForInductionVarOwner(iv);
  if (forOp && forOp.hasConstantLowerBound())
    return forOp.getConstantLowerBound();
  return std::nullopt;
}
 
/// Gets the constant upper bound on an affine.for `iv`.
static std::optional<int64_t> getUpperBound(Value iv) {
  AffineForOp forOp = getForInductionVarOwner(iv);
  if (!forOp || !forOp.hasConstantUpperBound())
    return std::nullopt;
 
  // If its lower bound is also known, we can get a more precise bound
  // whenever the step is not one.
  if (forOp.hasConstantLowerBound()) {
    return forOp.getConstantUpperBound() - 1 -
           (forOp.getConstantUpperBound() - forOp.getConstantLowerBound() - 1) %
               forOp.getStepAsInt();
  }
  return forOp.getConstantUpperBound() - 1;
}
 
/// Determine a constant upper bound for `expr` if one exists while exploiting
/// values in `operands`. Note that the upper bound is an inclusive one. `expr`
/// is guaranteed to be less than or equal to it.
static std::optional<int64_t> getUpperBound(AffineExpr expr, unsigned numDims,
                                            unsigned numSymbols,
                                            ArrayRef<Value> operands) {
  if (auto constExpr = dyn_cast<AffineConstantExpr>(expr))
    return constExpr.getValue();
 
  // Get the constant lower or upper bounds on the operands.
  SmallVector<std::optional<int64_t>> constLowerBounds, constUpperBounds;
  constLowerBounds.reserve(operands.size());
  constUpperBounds.reserve(operands.size());
  for (Value operand : operands) {
    constLowerBounds.push_back(getLowerBound(operand));
    constUpperBounds.push_back(getUpperBound(operand));
  }
 
  return getBoundForAffineExpr(expr, numDims, numSymbols, constLowerBounds,
                               constUpperBounds,
                               /*isUpper=*/true);
}
 
/// Determine a constant lower bound for `expr` if one exists while exploiting
/// values in `operands`. Note that the upper bound is an inclusive one. `expr`
/// is guaranteed to be less than or equal to it.
static std::optional<int64_t> getLowerBound(AffineExpr expr, unsigned numDims,
                                            unsigned numSymbols,
                                            ArrayRef<Value> operands) {
  if (auto constExpr = dyn_cast<AffineConstantExpr>(expr))
    return constExpr.getValue();
 
  // Get the constant lower or upper bounds on the operands.
  SmallVector<std::optional<int64_t>> constLowerBounds, constUpperBounds;
  constLowerBounds.reserve(operands.size());
  constUpperBounds.reserve(operands.size());
  for (Value operand : operands) {
    constLowerBounds.push_back(getLowerBound(operand));
    constUpperBounds.push_back(getUpperBound(operand));
  }
 
  return getBoundForAffineExpr(expr, numDims, numSymbols, constLowerBounds,
                               constUpperBounds,
                               /*isUpper=*/false);
}
 
/// Simplify `expr` while exploiting information from the values in `operands`.
static void simplifyExprAndOperands(AffineExpr &expr, unsigned numDims,
                                    unsigned numSymbols,
                                    ArrayRef<Value> operands) {
  // We do this only for certain floordiv/mod expressions.
  auto binExpr = dyn_cast<AffineBinaryOpExpr>(expr);
  if (!binExpr)
    return;
 
  // Simplify the child expressions first.
  AffineExpr lhs = binExpr.getLHS();
  AffineExpr rhs = binExpr.getRHS();
  simplifyExprAndOperands(lhs, numDims, numSymbols, operands);
  simplifyExprAndOperands(rhs, numDims, numSymbols, operands);
  expr = getAffineBinaryOpExpr(binExpr.getKind(), lhs, rhs);
 
  binExpr = dyn_cast<AffineBinaryOpExpr>(expr);
  if (!binExpr || (expr.getKind() != AffineExprKind::FloorDiv &&
                   expr.getKind() != AffineExprKind::CeilDiv &&
                   expr.getKind() != AffineExprKind::Mod)) {
    return;
  }
 
  // The `lhs` and `rhs` may be different post construction of simplified expr.
  lhs = binExpr.getLHS();
  rhs = binExpr.getRHS();
  auto rhsConst = dyn_cast<AffineConstantExpr>(rhs);
  if (!rhsConst)
    return;
 
  int64_t rhsConstVal = rhsConst.getValue();
  // Undefined exprsessions aren't touched; IR can still be valid with them.
  if (rhsConstVal <= 0)
    return;
 
  // Exploit constant lower/upper bounds to simplify a floordiv or mod.
  MLIRContext *context = expr.getContext();
  std::optional<int64_t> lhsLbConst =
      getLowerBound(lhs, numDims, numSymbols, operands);
  std::optional<int64_t> lhsUbConst =
      getUpperBound(lhs, numDims, numSymbols, operands);
  if (lhsLbConst && lhsUbConst) {
    int64_t lhsLbConstVal = *lhsLbConst;
    int64_t lhsUbConstVal = *lhsUbConst;
    // lhs floordiv c is a single value lhs is bounded in a range `c` that has
    // the same quotient.
    if (binExpr.getKind() == AffineExprKind::FloorDiv &&
        divideFloorSigned(lhsLbConstVal, rhsConstVal) ==
            divideFloorSigned(lhsUbConstVal, rhsConstVal)) {
      expr = getAffineConstantExpr(
          divideFloorSigned(lhsLbConstVal, rhsConstVal), context);
      return;
    }
    // lhs ceildiv c is a single value if the entire range has the same ceil
    // quotient.
    if (binExpr.getKind() == AffineExprKind::CeilDiv &&
        divideCeilSigned(lhsLbConstVal, rhsConstVal) ==
            divideCeilSigned(lhsUbConstVal, rhsConstVal)) {
      expr = getAffineConstantExpr(divideCeilSigned(lhsLbConstVal, rhsConstVal),
                                   context);
      return;
    }
    // lhs mod c is lhs if the entire range has quotient 0 w.r.t the rhs.
    if (binExpr.getKind() == AffineExprKind::Mod && lhsLbConstVal >= 0 &&
        lhsLbConstVal < rhsConstVal && lhsUbConstVal < rhsConstVal) {
      expr = lhs;
      return;
    }
  }
 
  // Simplify expressions of the form e = (e_1 + e_2) floordiv c or (e_1 + e_2)
  // mod c, where e_1 is a multiple of `k` and 0 <= e_2 < k. In such cases, if
  // `c` % `k` == 0, (e_1 + e_2) floordiv c can be simplified to e_1 floordiv c.
  // And when k % c == 0, (e_1 + e_2) mod c can be simplified to e_2 mod c.
  AffineExpr quotientTimesDiv, rem;
  int64_t divisor;
  if (isQTimesDPlusR(lhs, operands, divisor, quotientTimesDiv, rem)) {
    if (rhsConstVal % divisor == 0 &&
        binExpr.getKind() == AffineExprKind::FloorDiv) {
      expr = quotientTimesDiv.floorDiv(rhsConst);
    } else if (divisor % rhsConstVal == 0 &&
               binExpr.getKind() == AffineExprKind::Mod) {
      expr = rem % rhsConst;
    }
    return;
  }
 
  // Handle the simple case when the LHS expression can be either upper
  // bounded or is a known multiple of RHS constant.
  // lhs floordiv c -> 0 if 0 <= lhs < c,
  // lhs mod c -> 0 if lhs % c = 0.
  if ((isNonNegativeBoundedBy(lhs, operands, rhsConstVal) &&
       binExpr.getKind() == AffineExprKind::FloorDiv) ||
      (getLargestKnownDivisor(lhs, operands) % rhsConstVal == 0 &&
       binExpr.getKind() == AffineExprKind::Mod)) {
    expr = getAffineConstantExpr(0, expr.getContext());
  }
}
 
/// Simplify the expressions in `map` while making use of lower or upper bounds
/// of its operands. If `isMax` is true, the map is to be treated as a max of
/// its result expressions, and min otherwise. Eg: min (d0, d1) -> (8, 4 * d0 +
/// d1) can be simplified to (8) if the operands are respectively lower bounded
/// by 2 and 0 (the second expression can't be lower than 8).
static void simplifyMinOrMaxExprWithOperands(AffineMap &map,
                                             ArrayRef<Value> operands,
                                             bool isMax) {
  // Can't simplify.
  if (operands.empty())
    return;
 
  // Get the upper or lower bound on an affine.for op IV using its range.
  // Get the constant lower or upper bounds on the operands.
  SmallVector<std::optional<int64_t>> constLowerBounds, constUpperBounds;
  constLowerBounds.reserve(operands.size());
  constUpperBounds.reserve(operands.size());
  for (Value operand : operands) {
    constLowerBounds.push_back(getLowerBound(operand));
    constUpperBounds.push_back(getUpperBound(operand));
  }
 
  // We will compute the lower and upper bounds on each of the expressions
  // Then, we will check (depending on max or min) as to whether a specific
  // bound is redundant by checking if its highest (in case of max) and its
  // lowest (in the case of min) value is already lower than (or higher than)
  // the lower bound (or upper bound in the case of min) of another bound.
  SmallVector<std::optional<int64_t>, 4> lowerBounds, upperBounds;
  lowerBounds.reserve(map.getNumResults());
  upperBounds.reserve(map.getNumResults());
  for (AffineExpr e : map.getResults()) {
    if (auto constExpr = dyn_cast<AffineConstantExpr>(e)) {
      lowerBounds.push_back(constExpr.getValue());
      upperBounds.push_back(constExpr.getValue());
    } else {
      lowerBounds.push_back(
          getBoundForAffineExpr(e, map.getNumDims(), map.getNumSymbols(),
                                constLowerBounds, constUpperBounds,
                                /*isUpper=*/false));
      upperBounds.push_back(
          getBoundForAffineExpr(e, map.getNumDims(), map.getNumSymbols(),
                                constLowerBounds, constUpperBounds,
                                /*isUpper=*/true));
    }
  }
 
  // Collect expressions that are not redundant.
  SmallVector<AffineExpr, 4> irredundantExprs;
  for (auto exprEn : llvm::enumerate(map.getResults())) {
    AffineExpr e = exprEn.value();
    unsigned i = exprEn.index();
    // Some expressions can be turned into constants.
    if (lowerBounds[i] && upperBounds[i] && *lowerBounds[i] == *upperBounds[i])
      e = getAffineConstantExpr(*lowerBounds[i], e.getContext());
 
    // Check if the expression is redundant.
    if (isMax) {
      if (!upperBounds[i]) {
        irredundantExprs.push_back(e);
        continue;
      }
      // If there exists another expression such that its lower bound is greater
      // than this expression's upper bound, it's redundant.
      if (!llvm::any_of(llvm::enumerate(lowerBounds), [&](const auto &en) {
            auto otherLowerBound = en.value();
            unsigned pos = en.index();
            if (pos == i || !otherLowerBound)
              return false;
            if (*otherLowerBound > *upperBounds[i])
              return true;
            if (*otherLowerBound < *upperBounds[i])
              return false;
            // Equality case. When both expressions are considered redundant, we
            // don't want to get both of them. We keep the one that appears
            // first.
            if (upperBounds[pos] && lowerBounds[i] &&
                lowerBounds[i] == upperBounds[i] &&
                otherLowerBound == *upperBounds[pos] && i < pos)
              return false;
            return true;
          }))
        irredundantExprs.push_back(e);
    } else {
      if (!lowerBounds[i]) {
        irredundantExprs.push_back(e);
        continue;
      }
      // Likewise for the `min` case. Use the complement of the condition above.
      if (!llvm::any_of(llvm::enumerate(upperBounds), [&](const auto &en) {
            auto otherUpperBound = en.value();
            unsigned pos = en.index();
            if (pos == i || !otherUpperBound)
              return false;
            if (*otherUpperBound < *lowerBounds[i])
              return true;
            if (*otherUpperBound > *lowerBounds[i])
              return false;
            if (lowerBounds[pos] && upperBounds[i] &&
                lowerBounds[i] == upperBounds[i] &&
                otherUpperBound == lowerBounds[pos] && i < pos)
              return false;
            return true;
          }))
        irredundantExprs.push_back(e);
    }
  }
 
  // Create the map without the redundant expressions.
  map = AffineMap::get(map.getNumDims(), map.getNumSymbols(), irredundantExprs,
                       map.getContext());
}
 
/// Simplify the map while exploiting information on the values in `operands`.
//  Use "unused attribute" marker to silence warning stemming from the inability
//  to see through the template expansion.
[[maybe_unused]] static void simplifyMapWithOperands(AffineMap &map,
                                                     ArrayRef<Value> operands) {
  assert(map.getNumInputs() == operands.size() && "invalid operands for map");
  SmallVector<AffineExpr> newResults;
  newResults.reserve(map.getNumResults());
  for (AffineExpr expr : map.getResults()) {
    simplifyExprAndOperands(expr, map.getNumDims(), map.getNumSymbols(),
                            operands);
    newResults.push_back(expr);
  }
  map = AffineMap::get(map.getNumDims(), map.getNumSymbols(), newResults,
                       map.getContext());
}
 
/// Assuming `dimOrSym` is a quantity in the apply op map `map` and defined by
/// `minOp = affine_min(x_1, ..., x_n)`. This function checks that:
/// `0 < affine_min(x_1, ..., x_n)` and proceeds with replacing the patterns:
/// ```
///   dimOrSym.ceildiv(x_k)
///   (dimOrSym + x_k - 1).floordiv(x_k)
/// ```
/// by `1` for all `k` in `1, ..., n`. This is possible because `x / x_k <= 1`.
///
///
/// Warning: ValueBoundsConstraintSet::computeConstantBound is needed to check
/// `minOp` is positive.
static LogicalResult replaceAffineMinBoundingBoxExpression(AffineMinOp minOp,
                                                           AffineExpr dimOrSym,
                                                           AffineMap *map,
                                                           ValueRange dims,
                                                           ValueRange syms) {
  LDBG() << "replaceAffineMinBoundingBoxExpression: `" << minOp << "`";
  AffineMap affineMinMap = minOp.getAffineMap();
 
  // Check the value is positive.
  for (unsigned i = 0, e = affineMinMap.getNumResults(); i < e; ++i) {
    // Compare each expression in the minimum against 0.
    if (!ValueBoundsConstraintSet::compare(
            getAsIndexOpFoldResult(minOp.getContext(), 0),
            ValueBoundsConstraintSet::ComparisonOperator::LT,
            ValueBoundsConstraintSet::Variable(affineMinMap.getSliceMap(i, 1),
                                               minOp.getOperands())))
      return failure();
  }
 
  /// Convert affine symbols and dimensions in minOp to symbols or dimensions in
  /// the apply op affine map.
  DenseMap<AffineExpr, AffineExpr> dimSymConversionTable;
  SmallVector<unsigned> unmappedDims, unmappedSyms;
  for (auto [i, dim] : llvm::enumerate(minOp.getDimOperands())) {
    auto it = llvm::find(dims, dim);
    if (it == dims.end()) {
      unmappedDims.push_back(i);
      continue;
    }
    dimSymConversionTable[getAffineDimExpr(i, minOp.getContext())] =
        getAffineDimExpr(it.getIndex(), minOp.getContext());
  }
  for (auto [i, sym] : llvm::enumerate(minOp.getSymbolOperands())) {
    auto it = llvm::find(syms, sym);
    if (it == syms.end()) {
      unmappedSyms.push_back(i);
      continue;
    }
    dimSymConversionTable[getAffineSymbolExpr(i, minOp.getContext())] =
        getAffineSymbolExpr(it.getIndex(), minOp.getContext());
  }
 
  // Create the replacement map.
  DenseMap<AffineExpr, AffineExpr> repl;
  AffineExpr c1 = getAffineConstantExpr(1, minOp.getContext());
  for (AffineExpr expr : affineMinMap.getResults()) {
    // If we cannot express the result in terms of the apply map symbols and
    // sims then continue.
    if (llvm::any_of(unmappedDims,
                     [&](unsigned i) { return expr.isFunctionOfDim(i); }) ||
        llvm::any_of(unmappedSyms,
                     [&](unsigned i) { return expr.isFunctionOfSymbol(i); }))
      continue;
 
    AffineExpr convertedExpr = expr.replace(dimSymConversionTable);
 
    // dimOrSym.ceilDiv(expr) -> 1
    repl[dimOrSym.ceilDiv(convertedExpr)] = c1;
    // (dimOrSym + expr - 1).floorDiv(expr) -> 1
    repl[(dimOrSym + convertedExpr - 1).floorDiv(convertedExpr)] = c1;
  }
  AffineMap initialMap = *map;
  *map = initialMap.replace(repl, initialMap.getNumDims(),
                            initialMap.getNumSymbols());
  return success(*map != initialMap);
}
 
/// Recursively traverse `e`. If `e` or one of its sub-expressions has the form
/// e1 + e2 + ... + eK, where the e_i are a super(multi)set of `exprsToRemove`,
/// place a map between e and `newVal` + sum({e1, e2, .. eK} - exprsToRemove)
/// into `replacementsMap`. If no entries were added to `replacementsMap`,
/// nothing was found.
static void shortenAddChainsContainingAll(
    AffineExpr e, const llvm::SmallDenseSet<AffineExpr, 4> &exprsToRemove,
    AffineExpr newVal, DenseMap<AffineExpr, AffineExpr> &replacementsMap) {
  auto binOp = dyn_cast<AffineBinaryOpExpr>(e);
  if (!binOp)
    return;
  AffineExpr lhs = binOp.getLHS();
  AffineExpr rhs = binOp.getRHS();
  if (binOp.getKind() != AffineExprKind::Add) {
    shortenAddChainsContainingAll(lhs, exprsToRemove, newVal, replacementsMap);
    shortenAddChainsContainingAll(rhs, exprsToRemove, newVal, replacementsMap);
    return;
  }
  SmallVector<AffineExpr> toPreserve;
  llvm::SmallDenseSet<AffineExpr, 4> ourTracker(exprsToRemove);
  AffineExpr thisTerm = rhs;
  AffineExpr nextTerm = lhs;
 
  while (thisTerm) {
    if (!ourTracker.erase(thisTerm)) {
      toPreserve.push_back(thisTerm);
      shortenAddChainsContainingAll(thisTerm, exprsToRemove, newVal,
                                    replacementsMap);
    }
    auto nextBinOp = dyn_cast_if_present<AffineBinaryOpExpr>(nextTerm);
    if (!nextBinOp || nextBinOp.getKind() != AffineExprKind::Add) {
      thisTerm = nextTerm;
      nextTerm = AffineExpr();
    } else {
      thisTerm = nextBinOp.getRHS();
      nextTerm = nextBinOp.getLHS();
    }
  }
  if (!ourTracker.empty())
    return;
  // We reverse the terms to be preserved here in order to preserve
  // associativity between them.
  AffineExpr newExpr = newVal;
  for (AffineExpr preserved : llvm::reverse(toPreserve))
    newExpr = newExpr + preserved;
  replacementsMap.insert({e, newExpr});
}
 
/// If this map contains of the expression `x_1 + x_1 * C_1 + ... x_n * C_N +
/// ...` (not necessarily in order) where the set of the `x_i` is the set of
/// outputs of an `affine.delinearize_index` whos inverse is that expression,
/// replace that expression with the input of that delinearize_index op.
///
/// `unitDimInput` is the input that was detected as the potential start to this
/// replacement chain - if it isn't the rightmost result of the delinearization,
/// this method fails. (This is intended to ensure we don't have redundant scans
/// over the same expression).
///
/// While this currently only handles delinearizations with a constant basis,
/// that isn't a fundamental limitation.
///
/// This is a utility function for `replaceDimOrSym` below.
static LogicalResult replaceAffineDelinearizeIndexInverseExpression(
    AffineDelinearizeIndexOp delinOp, Value resultToReplace, AffineMap *map,
    SmallVectorImpl<Value> &dims, SmallVectorImpl<Value> &syms) {
  if (!delinOp.getDynamicBasis().empty())
    return failure();
  if (resultToReplace != delinOp.getMultiIndex().back())
    return failure();
 
  MLIRContext *ctx = delinOp.getContext();
  SmallVector<AffineExpr> resToExpr(delinOp.getNumResults(), AffineExpr());
  for (auto [pos, dim] : llvm::enumerate(dims)) {
    auto asResult = dyn_cast_if_present<OpResult>(dim);
    if (!asResult)
      continue;
    if (asResult.getOwner() == delinOp.getOperation())
      resToExpr[asResult.getResultNumber()] = getAffineDimExpr(pos, ctx);
  }
  for (auto [pos, sym] : llvm::enumerate(syms)) {
    auto asResult = dyn_cast_if_present<OpResult>(sym);
    if (!asResult)
      continue;
    if (asResult.getOwner() == delinOp.getOperation())
      resToExpr[asResult.getResultNumber()] = getAffineSymbolExpr(pos, ctx);
  }
  if (llvm::is_contained(resToExpr, AffineExpr()))
    return failure();
 
  bool isDimReplacement = llvm::all_of(resToExpr, llvm::IsaPred<AffineDimExpr>);
  int64_t stride = 1;
  llvm::SmallDenseSet<AffineExpr, 4> expectedExprs;
  // This isn't zip_equal since sometimes the delinearize basis is missing a
  // size for the first result.
  for (auto [binding, size] : llvm::zip(
           llvm::reverse(resToExpr), llvm::reverse(delinOp.getStaticBasis()))) {
    expectedExprs.insert(binding * getAffineConstantExpr(stride, ctx));
    stride *= size;
  }
  if (resToExpr.size() != delinOp.getStaticBasis().size())
    expectedExprs.insert(resToExpr[0] * stride);
 
  DenseMap<AffineExpr, AffineExpr> replacements;
  AffineExpr delinInExpr = isDimReplacement
                               ? getAffineDimExpr(dims.size(), ctx)
                               : getAffineSymbolExpr(syms.size(), ctx);
 
  for (AffineExpr e : map->getResults())
    shortenAddChainsContainingAll(e, expectedExprs, delinInExpr, replacements);
  if (replacements.empty())
    return failure();
 
  AffineMap origMap = *map;
  if (isDimReplacement)
    dims.push_back(delinOp.getLinearIndex());
  else
    syms.push_back(delinOp.getLinearIndex());
  *map = origMap.replace(replacements, dims.size(), syms.size());
 
  // Blank out dead dimensions and symbols
  for (AffineExpr e : resToExpr) {
    if (auto d = dyn_cast<AffineDimExpr>(e)) {
      unsigned pos = d.getPosition();
      if (!map->isFunctionOfDim(pos))
        dims[pos] = nullptr;
    }
    if (auto s = dyn_cast<AffineSymbolExpr>(e)) {
      unsigned pos = s.getPosition();
      if (!map->isFunctionOfSymbol(pos))
        syms[pos] = nullptr;
    }
  }
  return success();
}
 
/// Replace all occurrences of AffineExpr at position `pos` in `map` by the
/// defining AffineApplyOp expression and operands.
/// When `dimOrSymbolPosition < dims.size()`, AffineDimExpr@[pos] is replaced.
/// When `dimOrSymbolPosition >= dims.size()`,
/// AffineSymbolExpr@[pos - dims.size()] is replaced.
/// Mutate `map`,`dims` and `syms` in place as follows:
///   1. `dims` and `syms` are only appended to.
///   2. `map` dim and symbols are gradually shifted to higher positions.
///   3. Old `dim` and `sym` entries are replaced by nullptr
/// This avoids the need for any bookkeeping.
/// If `replaceAffineMin` is set to true, additionally triggers more expensive
/// replacements involving affine_min operations.
static LogicalResult replaceDimOrSym(AffineMap *map,
                                     unsigned dimOrSymbolPosition,
                                     SmallVectorImpl<Value> &dims,
                                     SmallVectorImpl<Value> &syms,
                                     bool replaceAffineMin) {
  MLIRContext *ctx = map->getContext();
  bool isDimReplacement = (dimOrSymbolPosition < dims.size());
  unsigned pos = isDimReplacement ? dimOrSymbolPosition
                                  : dimOrSymbolPosition - dims.size();
  Value &v = isDimReplacement ? dims[pos] : syms[pos];
  if (!v)
    return failure();
 
  if (auto minOp = v.getDefiningOp<AffineMinOp>(); minOp && replaceAffineMin) {
    AffineExpr dimOrSym = isDimReplacement ? getAffineDimExpr(pos, ctx)
                                           : getAffineSymbolExpr(pos, ctx);
    return replaceAffineMinBoundingBoxExpression(minOp, dimOrSym, map, dims,
                                                 syms);
  }
 
  if (auto delinOp = v.getDefiningOp<affine::AffineDelinearizeIndexOp>()) {
    return replaceAffineDelinearizeIndexInverseExpression(delinOp, v, map, dims,
                                                          syms);
  }
 
  auto affineApply = v.getDefiningOp<AffineApplyOp>();
  if (!affineApply)
    return failure();
 
  // At this point we will perform a replacement of `v`, set the entry in `dim`
  // or `sym` to nullptr immediately.
  v = nullptr;
 
  // Compute the map, dims and symbols coming from the AffineApplyOp.
  AffineMap composeMap = affineApply.getAffineMap();
  assert(composeMap.getNumResults() == 1 && "affine.apply with >1 results");
  SmallVector<Value> composeOperands(affineApply.getMapOperands().begin(),
                                     affineApply.getMapOperands().end());
  // Canonicalize the map to promote dims to symbols when possible. This is to
  // avoid generating invalid maps.
  canonicalizeMapAndOperands(&composeMap, &composeOperands);
  AffineExpr replacementExpr =
      composeMap.shiftDims(dims.size()).shiftSymbols(syms.size()).getResult(0);
  ValueRange composeDims =
      ArrayRef<Value>(composeOperands).take_front(composeMap.getNumDims());
  ValueRange composeSyms =
      ArrayRef<Value>(composeOperands).take_back(composeMap.getNumSymbols());
  AffineExpr toReplace = isDimReplacement ? getAffineDimExpr(pos, ctx)
                                          : getAffineSymbolExpr(pos, ctx);
 
  // Append the dims and symbols where relevant and perform the replacement.
  dims.append(composeDims.begin(), composeDims.end());
  syms.append(composeSyms.begin(), composeSyms.end());
  *map = map->replace(toReplace, replacementExpr, dims.size(), syms.size());
 
  return success();
}
 
/// Iterate over `operands` and fold away all those produced by an AffineApplyOp
/// iteratively. Perform canonicalization of map and operands as well as
/// AffineMap simplification. `map` and `operands` are mutated in place.
static void composeAffineMapAndOperands(AffineMap *map,
                                        SmallVectorImpl<Value> *operands,
                                        bool composeAffineMin = false) {
  if (map->getNumResults() == 0) {
    canonicalizeMapAndOperands(map, operands);
    *map = simplifyAffineMap(*map);
    return;
  }
 
  MLIRContext *ctx = map->getContext();
  SmallVector<Value, 4> dims(operands->begin(),
                             operands->begin() + map->getNumDims());
  SmallVector<Value, 4> syms(operands->begin() + map->getNumDims(),
                             operands->end());
 
  // Iterate over dims and symbols coming from AffineApplyOp and replace until
  // exhaustion. This iteratively mutates `map`, `dims` and `syms`. Both `dims`
  // and `syms` can only increase by construction.
  // The implementation uses a `while` loop to support the case of symbols
  // that may be constructed from dims ;this may be overkill.
  while (true) {
    bool changed = false;
    for (unsigned pos = 0; pos != dims.size() + syms.size(); ++pos)
      if ((changed |=
           succeeded(replaceDimOrSym(map, pos, dims, syms, composeAffineMin))))
        break;
    if (!changed)
      break;
  }
 
  // Clear operands so we can fill them anew.
  operands->clear();
 
  // At this point we may have introduced null operands, prune them out before
  // canonicalizing map and operands.
  unsigned nDims = 0, nSyms = 0;
  SmallVector<AffineExpr, 4> dimReplacements, symReplacements;
  dimReplacements.reserve(dims.size());
  symReplacements.reserve(syms.size());
  for (auto *container : {&dims, &syms}) {
    bool isDim = (container == &dims);
    auto &repls = isDim ? dimReplacements : symReplacements;
    for (const auto &en : llvm::enumerate(*container)) {
      Value v = en.value();
      if (!v) {
        assert(isDim ? !map->isFunctionOfDim(en.index())
                     : !map->isFunctionOfSymbol(en.index()) &&
                           "map is function of unexpected expr@pos");
        repls.push_back(getAffineConstantExpr(0, ctx));
        continue;
      }
      repls.push_back(isDim ? getAffineDimExpr(nDims++, ctx)
                            : getAffineSymbolExpr(nSyms++, ctx));
      operands->push_back(v);
    }
  }
  *map = map->replaceDimsAndSymbols(dimReplacements, symReplacements, nDims,
                                    nSyms);
 
  // Canonicalize and simplify before returning.
  canonicalizeMapAndOperands(map, operands);
  *map = simplifyAffineMap(*map);
}
 
void mlir::affine::fullyComposeAffineMapAndOperands(
    AffineMap *map, SmallVectorImpl<Value> *operands, bool composeAffineMin) {
  while (llvm::any_of(*operands, [](Value v) {
    return isa_and_nonnull<AffineApplyOp>(v.getDefiningOp());
  })) {
    composeAffineMapAndOperands(map, operands, composeAffineMin);
  }
  // Additional trailing step for AffineMinOps in case no chains of AffineApply.
  if (composeAffineMin && llvm::any_of(*operands, [](Value v) {
        return isa_and_nonnull<AffineMinOp>(v.getDefiningOp());
      })) {
    composeAffineMapAndOperands(map, operands, composeAffineMin);
  }
}
 
AffineApplyOp
mlir::affine::makeComposedAffineApply(OpBuilder &b, Location loc, AffineMap map,
                                      ArrayRef<OpFoldResult> operands,
                                      bool composeAffineMin) {
  SmallVector<Value> valueOperands;
  map = foldAttributesIntoMap(b, map, operands, valueOperands);
  composeAffineMapAndOperands(&map, &valueOperands, composeAffineMin);
  assert(map);
  return AffineApplyOp::create(b, loc, map, valueOperands);
}
 
AffineApplyOp
mlir::affine::makeComposedAffineApply(OpBuilder &b, Location loc, AffineExpr e,
                                      ArrayRef<OpFoldResult> operands,
                                      bool composeAffineMin) {
  return makeComposedAffineApply(
      b, loc,
      AffineMap::inferFromExprList(ArrayRef<AffineExpr>{e}, b.getContext())
          .front(),
      operands, composeAffineMin);
}
 
/// Composes the given affine map with the given list of operands, pulling in
/// the maps from any affine.apply operations that supply the operands.
static void composeMultiResultAffineMap(AffineMap &map,
                                        SmallVectorImpl<Value> &operands,
                                        bool composeAffineMin = false) {
  // Compose and canonicalize each expression in the map individually because
  // composition only applies to single-result maps, collecting potentially
  // duplicate operands in a single list with shifted dimensions and symbols.
  SmallVector<Value> dims, symbols;
  SmallVector<AffineExpr> exprs;
  for (unsigned i : llvm::seq<unsigned>(0, map.getNumResults())) {
    SmallVector<Value> submapOperands(operands.begin(), operands.end());
    AffineMap submap = map.getSubMap({i});
    fullyComposeAffineMapAndOperands(&submap, &submapOperands,
                                     composeAffineMin);
    canonicalizeMapAndOperands(&submap, &submapOperands);
    unsigned numNewDims = submap.getNumDims();
    submap = submap.shiftDims(dims.size()).shiftSymbols(symbols.size());
    llvm::append_range(dims,
                       ArrayRef<Value>(submapOperands).take_front(numNewDims));
    llvm::append_range(symbols,
                       ArrayRef<Value>(submapOperands).drop_front(numNewDims));
    exprs.push_back(submap.getResult(0));
  }
 
  // Canonicalize the map created from composed expressions to deduplicate the
  // dimension and symbol operands.
  operands = llvm::to_vector(llvm::concat<Value>(dims, symbols));
  map = AffineMap::get(dims.size(), symbols.size(), exprs, map.getContext());
  canonicalizeMapAndOperands(&map, &operands);
}
 
OpFoldResult mlir::affine::makeComposedFoldedAffineApply(
    OpBuilder &b, Location loc, AffineMap map, ArrayRef<OpFoldResult> operands,
    bool composeAffineMin) {
  assert(map.getNumResults() == 1 && "building affine.apply with !=1 result");
 
  // Create new builder without a listener, so that no notification is
  // triggered if the op is folded.
  // TODO: OpBuilder::createOrFold should return OpFoldResults, then this
  // workaround is no longer needed.
  OpBuilder newBuilder(b.getContext());
  newBuilder.setInsertionPoint(b.getInsertionBlock(), b.getInsertionPoint());
 
  // Create op.
  AffineApplyOp applyOp =
      makeComposedAffineApply(newBuilder, loc, map, operands, composeAffineMin);
 
  // Get constant operands.
  SmallVector<Attribute> constOperands(applyOp->getNumOperands());
  for (unsigned i = 0, e = constOperands.size(); i != e; ++i)
    matchPattern(applyOp->getOperand(i), m_Constant(&constOperands[i]));
 
  // Try to fold the operation.
  SmallVector<OpFoldResult> foldResults;
  if (failed(applyOp->fold(constOperands, foldResults)) ||
      foldResults.empty()) {
    if (OpBuilder::Listener *listener = b.getListener())
      listener->notifyOperationInserted(applyOp, /*previous=*/{});
    return applyOp.getResult();
  }
 
  applyOp->erase();
  return llvm::getSingleElement(foldResults);
}
 
OpFoldResult mlir::affine::makeComposedFoldedAffineApply(
    OpBuilder &b, Location loc, AffineExpr expr,
    ArrayRef<OpFoldResult> operands, bool composeAffineMin) {
  return makeComposedFoldedAffineApply(
      b, loc,
      AffineMap::inferFromExprList(ArrayRef<AffineExpr>{expr}, b.getContext())
          .front(),
      operands, composeAffineMin);
}
 
SmallVector<OpFoldResult>
mlir::affine::makeComposedFoldedMultiResultAffineApply(
    OpBuilder &b, Location loc, AffineMap map, ArrayRef<OpFoldResult> operands,
    bool composeAffineMin) {
  return llvm::map_to_vector(
      llvm::seq<unsigned>(0, map.getNumResults()), [&](unsigned i) {
        return makeComposedFoldedAffineApply(b, loc, map.getSubMap({i}),
                                             operands, composeAffineMin);
      });
}
 
template <typename OpTy>
static OpTy makeComposedMinMax(OpBuilder &b, Location loc, AffineMap map,
                               ArrayRef<OpFoldResult> operands) {
  SmallVector<Value> valueOperands;
  map = foldAttributesIntoMap(b, map, operands, valueOperands);
  composeMultiResultAffineMap(map, valueOperands);
  return OpTy::create(b, loc, b.getIndexType(), map, valueOperands);
}
 
AffineMinOp
mlir::affine::makeComposedAffineMin(OpBuilder &b, Location loc, AffineMap map,
                                    ArrayRef<OpFoldResult> operands) {
  return makeComposedMinMax<AffineMinOp>(b, loc, map, operands);
}
 
template <typename OpTy>
static OpFoldResult makeComposedFoldedMinMax(OpBuilder &b, Location loc,
                                             AffineMap map,
                                             ArrayRef<OpFoldResult> operands) {
  // Create new builder without a listener, so that no notification is
  // triggered if the op is folded.
  // TODO: OpBuilder::createOrFold should return OpFoldResults, then this
  // workaround is no longer needed.
  OpBuilder newBuilder(b.getContext());
  newBuilder.setInsertionPoint(b.getInsertionBlock(), b.getInsertionPoint());
 
  // Create op.
  auto minMaxOp = makeComposedMinMax<OpTy>(newBuilder, loc, map, operands);
 
  // Get constant operands.
  SmallVector<Attribute> constOperands(minMaxOp->getNumOperands());
  for (unsigned i = 0, e = constOperands.size(); i != e; ++i)
    matchPattern(minMaxOp->getOperand(i), m_Constant(&constOperands[i]));
 
  // Try to fold the operation.
  SmallVector<OpFoldResult> foldResults;
  if (failed(minMaxOp->fold(constOperands, foldResults)) ||
      foldResults.empty()) {
    if (OpBuilder::Listener *listener = b.getListener())
      listener->notifyOperationInserted(minMaxOp, /*previous=*/{});
    return minMaxOp.getResult();
  }
 
  minMaxOp->erase();
  return llvm::getSingleElement(foldResults);
}
 
OpFoldResult
mlir::affine::makeComposedFoldedAffineMin(OpBuilder &b, Location loc,
                                          AffineMap map,
                                          ArrayRef<OpFoldResult> operands) {
  return makeComposedFoldedMinMax<AffineMinOp>(b, loc, map, operands);
}
 
OpFoldResult
mlir::affine::makeComposedFoldedAffineMax(OpBuilder &b, Location loc,
                                          AffineMap map,
                                          ArrayRef<OpFoldResult> operands) {
  return makeComposedFoldedMinMax<AffineMaxOp>(b, loc, map, operands);
}
 
// A symbol may appear as a dim in affine.apply operations. This function
// canonicalizes dims that are valid symbols into actual symbols.
template <class MapOrSet>
static void canonicalizePromotedSymbols(MapOrSet *mapOrSet,
                                        SmallVectorImpl<Value> *operands) {
  if (!mapOrSet || operands->empty())
    return;
 
  assert(mapOrSet->getNumInputs() == operands->size() &&
         "map/set inputs must match number of operands");
 
  auto *context = mapOrSet->getContext();
  SmallVector<Value, 8> resultOperands;
  resultOperands.reserve(operands->size());
  SmallVector<Value, 8> remappedSymbols;
  remappedSymbols.reserve(operands->size());
  unsigned nextDim = 0;
  unsigned nextSym = 0;
  unsigned oldNumSyms = mapOrSet->getNumSymbols();
  SmallVector<AffineExpr, 8> dimRemapping(mapOrSet->getNumDims());
  for (unsigned i = 0, e = mapOrSet->getNumInputs(); i != e; ++i) {
    if (i < mapOrSet->getNumDims()) {
      if (isValidSymbol((*operands)[i])) {
        // This is a valid symbol that appears as a dim, canonicalize it.
        dimRemapping[i] = getAffineSymbolExpr(oldNumSyms + nextSym++, context);
        remappedSymbols.push_back((*operands)[i]);
      } else {
        dimRemapping[i] = getAffineDimExpr(nextDim++, context);
        resultOperands.push_back((*operands)[i]);
      }
    } else {
      resultOperands.push_back((*operands)[i]);
    }
  }
 
  resultOperands.append(remappedSymbols.begin(), remappedSymbols.end());
  *operands = resultOperands;
  *mapOrSet = mapOrSet->replaceDimsAndSymbols(
      dimRemapping, /*symReplacements=*/{}, nextDim, oldNumSyms + nextSym);
 
  assert(mapOrSet->getNumInputs() == operands->size() &&
         "map/set inputs must match number of operands");
}
 
/// A valid affine dimension may appear as a symbol in affine.apply operations.
/// Given an application of `operands` to an affine map or integer set
/// `mapOrSet`, this function canonicalizes symbols of `mapOrSet` that are valid
/// dims, but not valid symbols into actual dims. Without such a legalization,
/// the affine.apply will be invalid. This method is the exact inverse of
/// canonicalizePromotedSymbols.
template <class MapOrSet>
static void legalizeDemotedDims(MapOrSet &mapOrSet,
                                SmallVectorImpl<Value> &operands) {
  if (!mapOrSet || operands.empty())
    return;
 
  unsigned numOperands = operands.size();
 
  assert(mapOrSet.getNumInputs() == numOperands &&
         "map/set inputs must match number of operands");
 
  auto *context = mapOrSet.getContext();
  SmallVector<Value, 8> resultOperands;
  resultOperands.reserve(numOperands);
  SmallVector<Value, 8> remappedDims;
  remappedDims.reserve(numOperands);
  SmallVector<Value, 8> symOperands;
  symOperands.reserve(mapOrSet.getNumSymbols());
  unsigned nextSym = 0;
  unsigned nextDim = 0;
  unsigned oldNumDims = mapOrSet.getNumDims();
  SmallVector<AffineExpr, 8> symRemapping(mapOrSet.getNumSymbols());
  resultOperands.assign(operands.begin(), operands.begin() + oldNumDims);
  for (unsigned i = oldNumDims, e = mapOrSet.getNumInputs(); i != e; ++i) {
    if (operands[i] && isValidDim(operands[i]) && !isValidSymbol(operands[i])) {
      // This is a valid dim that appears as a symbol, legalize it.
      symRemapping[i - oldNumDims] =
          getAffineDimExpr(oldNumDims + nextDim++, context);
      remappedDims.push_back(operands[i]);
    } else {
      symRemapping[i - oldNumDims] = getAffineSymbolExpr(nextSym++, context);
      symOperands.push_back(operands[i]);
    }
  }
 
  append_range(resultOperands, remappedDims);
  append_range(resultOperands, symOperands);
  operands = resultOperands;
  mapOrSet = mapOrSet.replaceDimsAndSymbols(
      /*dimReplacements=*/{}, symRemapping, oldNumDims + nextDim, nextSym);
 
  assert(mapOrSet.getNumInputs() == operands.size() &&
         "map/set inputs must match number of operands");
}
 
// Works for either an affine map or an integer set.
template <class MapOrSet>
static void canonicalizeMapOrSetAndOperands(MapOrSet *mapOrSet,
                                            SmallVectorImpl<Value> *operands) {
  static_assert(llvm::is_one_of<MapOrSet, AffineMap, IntegerSet>::value,
                "Argument must be either of AffineMap or IntegerSet type");
 
  if (!mapOrSet || operands->empty())
    return;
 
  assert(mapOrSet->getNumInputs() == operands->size() &&
         "map/set inputs must match number of operands");
 
  canonicalizePromotedSymbols<MapOrSet>(mapOrSet, operands);
  legalizeDemotedDims<MapOrSet>(*mapOrSet, *operands);
 
  // Check to see what dims are used.
  llvm::SmallBitVector usedDims(mapOrSet->getNumDims());
  llvm::SmallBitVector usedSyms(mapOrSet->getNumSymbols());
  mapOrSet->walkExprs([&](AffineExpr expr) {
    if (auto dimExpr = dyn_cast<AffineDimExpr>(expr))
      usedDims[dimExpr.getPosition()] = true;
    else if (auto symExpr = dyn_cast<AffineSymbolExpr>(expr))
      usedSyms[symExpr.getPosition()] = true;
  });
 
  auto *context = mapOrSet->getContext();
 
  SmallVector<Value, 8> resultOperands;
  resultOperands.reserve(operands->size());
 
  llvm::SmallDenseMap<Value, AffineExpr, 8> seenDims;
  SmallVector<AffineExpr, 8> dimRemapping(mapOrSet->getNumDims());
  unsigned nextDim = 0;
  for (unsigned i = 0, e = mapOrSet->getNumDims(); i != e; ++i) {
    if (usedDims[i]) {
      // Remap dim positions for duplicate operands.
      auto it = seenDims.find((*operands)[i]);
      if (it == seenDims.end()) {
        dimRemapping[i] = getAffineDimExpr(nextDim++, context);
        resultOperands.push_back((*operands)[i]);
        seenDims.insert(std::make_pair((*operands)[i], dimRemapping[i]));
      } else {
        dimRemapping[i] = it->second;
      }
    }
  }
  llvm::SmallDenseMap<Value, AffineExpr, 8> seenSymbols;
  SmallVector<AffineExpr, 8> symRemapping(mapOrSet->getNumSymbols());
  unsigned nextSym = 0;
  for (unsigned i = 0, e = mapOrSet->getNumSymbols(); i != e; ++i) {
    if (!usedSyms[i])
      continue;
    // Handle constant operands (only needed for symbolic operands since
    // constant operands in dimensional positions would have already been
    // promoted to symbolic positions above).
    IntegerAttr operandCst;
    if (matchPattern((*operands)[i + mapOrSet->getNumDims()],
                     m_Constant(&operandCst))) {
      symRemapping[i] =
          getAffineConstantExpr(operandCst.getValue().getSExtValue(), context);
      continue;
    }
    // Remap symbol positions for duplicate operands.
    auto it = seenSymbols.find((*operands)[i + mapOrSet->getNumDims()]);
    if (it == seenSymbols.end()) {
      symRemapping[i] = getAffineSymbolExpr(nextSym++, context);
      resultOperands.push_back((*operands)[i + mapOrSet->getNumDims()]);
      seenSymbols.insert(std::make_pair((*operands)[i + mapOrSet->getNumDims()],
                                        symRemapping[i]));
    } else {
      symRemapping[i] = it->second;
    }
  }
  *mapOrSet = mapOrSet->replaceDimsAndSymbols(dimRemapping, symRemapping,
                                              nextDim, nextSym);
  *operands = resultOperands;
}
 
void mlir::affine::canonicalizeMapAndOperands(
    AffineMap *map, SmallVectorImpl<Value> *operands) {
  canonicalizeMapOrSetAndOperands<AffineMap>(map, operands);
}
 
void mlir::affine::canonicalizeSetAndOperands(
    IntegerSet *set, SmallVectorImpl<Value> *operands) {
  canonicalizeMapOrSetAndOperands<IntegerSet>(set, operands);
}
 
namespace {
/// Simplify AffineApply, AffineLoad, and AffineStore operations by composing
/// maps that supply results into them.
///
template <typename AffineOpTy>
struct SimplifyAffineOp : public OpRewritePattern<AffineOpTy> {
  using OpRewritePattern<AffineOpTy>::OpRewritePattern;
 
  /// Replace the affine op with another instance of it with the supplied
  /// map and mapOperands.
  void replaceAffineOp(PatternRewriter &rewriter, AffineOpTy affineOp,
                       AffineMap map, ArrayRef<Value> mapOperands) const;
 
  LogicalResult matchAndRewrite(AffineOpTy affineOp,
                                PatternRewriter &rewriter) const override {
    static_assert(
        llvm::is_one_of<AffineOpTy, AffineLoadOp, AffinePrefetchOp,
                        AffineStoreOp, AffineApplyOp, AffineMinOp, AffineMaxOp,
                        AffineVectorStoreOp, AffineVectorLoadOp>::value,
        "affine load/store/vectorstore/vectorload/apply/prefetch/min/max op "
        "expected");
    auto map = affineOp.getAffineMap();
    AffineMap oldMap = map;
    auto oldOperands = affineOp.getMapOperands();
    SmallVector<Value, 8> resultOperands(oldOperands);
    composeAffineMapAndOperands(&map, &resultOperands);
    canonicalizeMapAndOperands(&map, &resultOperands);
    simplifyMapWithOperands(map, resultOperands);
    if (map == oldMap && std::equal(oldOperands.begin(), oldOperands.end(),
                                    resultOperands.begin()))
      return failure();
 
    replaceAffineOp(rewriter, affineOp, map, resultOperands);
    return success();
  }
};
 
// Specialize the template to account for the different build signatures for
// affine load, store, and apply ops.
template <>
void SimplifyAffineOp<AffineLoadOp>::replaceAffineOp(
    PatternRewriter &rewriter, AffineLoadOp load, AffineMap map,
    ArrayRef<Value> mapOperands) const {
  rewriter.replaceOpWithNewOp<AffineLoadOp>(load, load.getMemRef(), map,
                                            mapOperands, load.getMaybeAlign());
}
template <>
void SimplifyAffineOp<AffinePrefetchOp>::replaceAffineOp(
    PatternRewriter &rewriter, AffinePrefetchOp prefetch, AffineMap map,
    ArrayRef<Value> mapOperands) const {
  rewriter.replaceOpWithNewOp<AffinePrefetchOp>(
      prefetch, prefetch.getMemref(), map, mapOperands, prefetch.getIsWrite(),
      prefetch.getLocalityHint(), prefetch.getIsDataCache());
}
template <>
void SimplifyAffineOp<AffineStoreOp>::replaceAffineOp(
    PatternRewriter &rewriter, AffineStoreOp store, AffineMap map,
    ArrayRef<Value> mapOperands) const {
  rewriter.replaceOpWithNewOp<AffineStoreOp>(
      store, store.getValueToStore(), store.getMemRef(), map, mapOperands,
      store.getMaybeAlign());
}
template <>
void SimplifyAffineOp<AffineVectorLoadOp>::replaceAffineOp(
    PatternRewriter &rewriter, AffineVectorLoadOp vectorload, AffineMap map,
    ArrayRef<Value> mapOperands) const {
  rewriter.replaceOpWithNewOp<AffineVectorLoadOp>(
      vectorload, vectorload.getVectorType(), vectorload.getMemRef(), map,
      mapOperands, vectorload.getMaybeAlign());
}
template <>
void SimplifyAffineOp<AffineVectorStoreOp>::replaceAffineOp(
    PatternRewriter &rewriter, AffineVectorStoreOp vectorstore, AffineMap map,
    ArrayRef<Value> mapOperands) const {
  rewriter.replaceOpWithNewOp<AffineVectorStoreOp>(
      vectorstore, vectorstore.getValueToStore(), vectorstore.getMemRef(), map,
      mapOperands, vectorstore.getMaybeAlign());
}
 
// Generic version for ops that don't have extra operands.
template <typename AffineOpTy>
void SimplifyAffineOp<AffineOpTy>::replaceAffineOp(
    PatternRewriter &rewriter, AffineOpTy op, AffineMap map,
    ArrayRef<Value> mapOperands) const {
  rewriter.replaceOpWithNewOp<AffineOpTy>(op, map, mapOperands);
}
} // namespace
 
void AffineApplyOp::getCanonicalizationPatterns(RewritePatternSet &results,
                                                MLIRContext *context) {
  results.add<SimplifyAffineOp<AffineApplyOp>>(context);
}
 
//===----------------------------------------------------------------------===//
// AffineDmaStartOp
//===----------------------------------------------------------------------===//
 
// TODO: Check that map operands are loop IVs or symbols.
void AffineDmaStartOp::build(OpBuilder &builder, OperationState &result,
                             Value srcMemRef, AffineMap srcMap,
                             ValueRange srcIndices, Value destMemRef,
                             AffineMap dstMap, ValueRange destIndices,
                             Value tagMemRef, AffineMap tagMap,
                             ValueRange tagIndices, Value numElements,
                             Value stride, Value elementsPerStride) {
  result.addOperands(srcMemRef);
  result.addAttribute(getSrcMapAttrStrName(), AffineMapAttr::get(srcMap));
  result.addOperands(srcIndices);
  result.addOperands(destMemRef);
  result.addAttribute(getDstMapAttrStrName(), AffineMapAttr::get(dstMap));
  result.addOperands(destIndices);
  result.addOperands(tagMemRef);
  result.addAttribute(getTagMapAttrStrName(), AffineMapAttr::get(tagMap));
  result.addOperands(tagIndices);
  result.addOperands(numElements);
  if (stride) {
    result.addOperands({stride, elementsPerStride});
  }
}
 
void AffineDmaStartOp::print(OpAsmPrinter &p) {
  p << " " << getSrcMemRef() << '[';
  p.printAffineMapOfSSAIds(getSrcMapAttr(), getSrcIndices());
  p << "], " << getDstMemRef() << '[';
  p.printAffineMapOfSSAIds(getDstMapAttr(), getDstIndices());
  p << "], " << getTagMemRef() << '[';
  p.printAffineMapOfSSAIds(getTagMapAttr(), getTagIndices());
  p << "], " << getNumElements();
  if (isStrided()) {
    p << ", " << getStride();
    p << ", " << getNumElementsPerStride();
  }
  p << " : " << getSrcMemRefType() << ", " << getDstMemRefType() << ", "
    << getTagMemRefType();
}
 
// Parse AffineDmaStartOp.
// Ex:
//   affine.dma_start %src[%i, %j], %dst[%k, %l], %tag[%index], %size,
//     %stride, %num_elt_per_stride
//       : memref<3076 x f32, 0>, memref<1024 x f32, 2>, memref<1 x i32>
//
ParseResult AffineDmaStartOp::parse(OpAsmParser &parser,
                                    OperationState &result) {
  OpAsmParser::UnresolvedOperand srcMemRefInfo;
  AffineMapAttr srcMapAttr;
  SmallVector<OpAsmParser::UnresolvedOperand, 4> srcMapOperands;
  OpAsmParser::UnresolvedOperand dstMemRefInfo;
  AffineMapAttr dstMapAttr;
  SmallVector<OpAsmParser::UnresolvedOperand, 4> dstMapOperands;
  OpAsmParser::UnresolvedOperand tagMemRefInfo;
  AffineMapAttr tagMapAttr;
  SmallVector<OpAsmParser::UnresolvedOperand, 4> tagMapOperands;
  OpAsmParser::UnresolvedOperand numElementsInfo;
  SmallVector<OpAsmParser::UnresolvedOperand, 2> strideInfo;
 
  SmallVector<Type, 3> types;
  auto indexType = parser.getBuilder().getIndexType();
 
  // Parse and resolve the following list of operands:
  // *) dst memref followed by its affine maps operands (in square brackets).
  // *) src memref followed by its affine map operands (in square brackets).
  // *) tag memref followed by its affine map operands (in square brackets).
  // *) number of elements transferred by DMA operation.
  if (parser.parseOperand(srcMemRefInfo) ||
      parser.parseAffineMapOfSSAIds(srcMapOperands, srcMapAttr,
                                    getSrcMapAttrStrName(),
                                    result.attributes) ||
      parser.parseComma() || parser.parseOperand(dstMemRefInfo) ||
      parser.parseAffineMapOfSSAIds(dstMapOperands, dstMapAttr,
                                    getDstMapAttrStrName(),
                                    result.attributes) ||
      parser.parseComma() || parser.parseOperand(tagMemRefInfo) ||
      parser.parseAffineMapOfSSAIds(tagMapOperands, tagMapAttr,
                                    getTagMapAttrStrName(),
                                    result.attributes) ||
      parser.parseComma() || parser.parseOperand(numElementsInfo))
    return failure();
 
  // Parse optional stride and elements per stride.
  if (parser.parseTrailingOperandList(strideInfo))
    return failure();
 
  if (!strideInfo.empty() && strideInfo.size() != 2) {
    return parser.emitError(parser.getNameLoc(),
                            "expected two stride related operands");
  }
  bool isStrided = strideInfo.size() == 2;
 
  if (parser.parseColonTypeList(types))
    return failure();
 
  if (types.size() != 3)
    return parser.emitError(parser.getNameLoc(), "expected three types");
 
  if (parser.resolveOperand(srcMemRefInfo, types[0], result.operands) ||
      parser.resolveOperands(srcMapOperands, indexType, result.operands) ||
      parser.resolveOperand(dstMemRefInfo, types[1], result.operands) ||
      parser.resolveOperands(dstMapOperands, indexType, result.operands) ||
      parser.resolveOperand(tagMemRefInfo, types[2], result.operands) ||
      parser.resolveOperands(tagMapOperands, indexType, result.operands) ||
      parser.resolveOperand(numElementsInfo, indexType, result.operands))
    return failure();
 
  if (isStrided) {
    if (parser.resolveOperands(strideInfo, indexType, result.operands))
      return failure();
  }
 
  // Check that src/dst/tag operand counts match their map.numInputs.
  if (srcMapOperands.size() != srcMapAttr.getValue().getNumInputs() ||
      dstMapOperands.size() != dstMapAttr.getValue().getNumInputs() ||
      tagMapOperands.size() != tagMapAttr.getValue().getNumInputs())
    return parser.emitError(parser.getNameLoc(),
                            "memref operand count not equal to map.numInputs");
  return success();
}
 
LogicalResult AffineDmaStartOp::verify() {
  if (!llvm::isa<MemRefType>(getOperand(getSrcMemRefOperandIndex()).getType()))
    return emitOpError("expected DMA source to be of memref type");
  if (!llvm::isa<MemRefType>(getOperand(getDstMemRefOperandIndex()).getType()))
    return emitOpError("expected DMA destination to be of memref type");
  if (!llvm::isa<MemRefType>(getOperand(getTagMemRefOperandIndex()).getType()))
    return emitOpError("expected DMA tag to be of memref type");
 
  unsigned numInputsAllMaps = getSrcMap().getNumInputs() +
                              getDstMap().getNumInputs() +
                              getTagMap().getNumInputs();
  if (getNumOperands() != numInputsAllMaps + 3 + 1 &&
      getNumOperands() != numInputsAllMaps + 3 + 1 + 2) {
    return emitOpError("incorrect number of operands");
  }
 
  Region *scope = getAffineScope(*this);
  for (auto idx : getSrcIndices()) {
    if (!idx.getType().isIndex())
      return emitOpError("src index to dma_start must have 'index' type");
    if (!isValidAffineIndexOperand(idx, scope))
      return emitOpError(
          "src index must be a valid dimension or symbol identifier");
  }
  for (auto idx : getDstIndices()) {
    if (!idx.getType().isIndex())
      return emitOpError("dst index to dma_start must have 'index' type");
    if (!isValidAffineIndexOperand(idx, scope))
      return emitOpError(
          "dst index must be a valid dimension or symbol identifier");
  }
  for (auto idx : getTagIndices()) {
    if (!idx.getType().isIndex())
      return emitOpError("tag index to dma_start must have 'index' type");
    if (!isValidAffineIndexOperand(idx, scope))
      return emitOpError(
          "tag index must be a valid dimension or symbol identifier");
  }
  return success();
}
 
LogicalResult AffineDmaStartOp::fold(FoldAdaptor adaptor,
                                     SmallVectorImpl<OpFoldResult> &results) {
  /// dma_start(memrefcast) -> dma_start
  return memref::foldMemRefCast(*this);
}
 
void AffineDmaStartOp::getEffects(
    SmallVectorImpl<SideEffects::EffectInstance<MemoryEffects::Effect>>
        &effects) {
  effects.emplace_back(MemoryEffects::Read::get(), &getSrcMemRefMutable(),
                       SideEffects::DefaultResource::get());
  effects.emplace_back(MemoryEffects::Write::get(), &getDstMemRefMutable(),
                       SideEffects::DefaultResource::get());
  effects.emplace_back(MemoryEffects::Read::get(), &getTagMemRefMutable(),
                       SideEffects::DefaultResource::get());
}
 
//===----------------------------------------------------------------------===//
// AffineDmaWaitOp
//===----------------------------------------------------------------------===//
 
// TODO: Check that map operands are loop IVs or symbols.
void AffineDmaWaitOp::build(OpBuilder &builder, OperationState &result,
                            Value tagMemRef, AffineMap tagMap,
                            ValueRange tagIndices, Value numElements) {
  result.addOperands(tagMemRef);
  result.addAttribute(getTagMapAttrStrName(), AffineMapAttr::get(tagMap));
  result.addOperands(tagIndices);
  result.addOperands(numElements);
}
 
void AffineDmaWaitOp::print(OpAsmPrinter &p) {
  p << " " << getTagMemRef() << '[';
  SmallVector<Value, 2> operands(getTagIndices());
  p.printAffineMapOfSSAIds(getTagMapAttr(), operands);
  p << "], ";
  p.printOperand(getNumElements());
  p << " : " << getTagMemRef().getType();
}
 
// Parse AffineDmaWaitOp.
// Eg:
//   affine.dma_wait %tag[%index], %num_elements
//     : memref<1 x i32, (d0) -> (d0), 4>
//
ParseResult AffineDmaWaitOp::parse(OpAsmParser &parser,
                                   OperationState &result) {
  OpAsmParser::UnresolvedOperand tagMemRefInfo;
  AffineMapAttr tagMapAttr;
  SmallVector<OpAsmParser::UnresolvedOperand, 2> tagMapOperands;
  Type type;
  auto indexType = parser.getBuilder().getIndexType();
  OpAsmParser::UnresolvedOperand numElementsInfo;
 
  // Parse tag memref, its map operands, and dma size.
  if (parser.parseOperand(tagMemRefInfo) ||
      parser.parseAffineMapOfSSAIds(tagMapOperands, tagMapAttr,
                                    getTagMapAttrStrName(),
                                    result.attributes) ||
      parser.parseComma() || parser.parseOperand(numElementsInfo) ||
      parser.parseColonType(type) ||
      parser.resolveOperand(tagMemRefInfo, type, result.operands) ||
      parser.resolveOperands(tagMapOperands, indexType, result.operands) ||
      parser.resolveOperand(numElementsInfo, indexType, result.operands))
    return failure();
 
  if (!llvm::isa<MemRefType>(type))
    return parser.emitError(parser.getNameLoc(),
                            "expected tag to be of memref type");
 
  if (tagMapOperands.size() != tagMapAttr.getValue().getNumInputs())
    return parser.emitError(parser.getNameLoc(),
                            "tag memref operand count != to map.numInputs");
  return success();
}
 
LogicalResult AffineDmaWaitOp::verify() {
  if (!llvm::isa<MemRefType>(getOperand(0).getType()))
    return emitOpError("expected DMA tag to be of memref type");
  Region *scope = getAffineScope(*this);
  for (auto idx : getTagIndices()) {
    if (!idx.getType().isIndex())
      return emitOpError("index to dma_wait must have 'index' type");
    if (!isValidAffineIndexOperand(idx, scope))
      return emitOpError(
          "index must be a valid dimension or symbol identifier");
  }
  return success();
}
 
LogicalResult AffineDmaWaitOp::fold(FoldAdaptor adaptor,
                                    SmallVectorImpl<OpFoldResult> &results) {
  /// dma_wait(memrefcast) -> dma_wait
  return memref::foldMemRefCast(*this);
}
 
void AffineDmaWaitOp::getEffects(
    SmallVectorImpl<SideEffects::EffectInstance<MemoryEffects::Effect>>
        &effects) {
  effects.emplace_back(MemoryEffects::Read::get(), &getTagMemRefMutable(),
                       SideEffects::DefaultResource::get());
}
 
//===----------------------------------------------------------------------===//
// AffineForOp
//===----------------------------------------------------------------------===//
 
/// 'bodyBuilder' is used to build the body of affine.for. If iterArgs and
/// bodyBuilder are empty/null, we include default terminator op.
void AffineForOp::build(OpBuilder &builder, OperationState &result,
                        ValueRange lbOperands, AffineMap lbMap,
                        ValueRange ubOperands, AffineMap ubMap, int64_t step,
                        ValueRange iterArgs, BodyBuilderFn bodyBuilder) {
  assert(((!lbMap && lbOperands.empty()) ||
          lbOperands.size() == lbMap.getNumInputs()) &&
         "lower bound operand count does not match the affine map");
  assert(((!ubMap && ubOperands.empty()) ||
          ubOperands.size() == ubMap.getNumInputs()) &&
         "upper bound operand count does not match the affine map");
  assert(step > 0 && "step has to be a positive integer constant");
 
  OpBuilder::InsertionGuard guard(builder);
 
  // Set variadic segment sizes.
  result.addAttribute(
      getOperandSegmentSizeAttr(),
      builder.getDenseI32ArrayAttr({static_cast<int32_t>(lbOperands.size()),
                                    static_cast<int32_t>(ubOperands.size()),
                                    static_cast<int32_t>(iterArgs.size())}));
 
  for (Value val : iterArgs)
    result.addTypes(val.getType());
 
  // Add an attribute for the step.
  result.addAttribute(getStepAttrName(result.name),
                      builder.getIntegerAttr(builder.getIndexType(), step));
 
  // Add the lower bound.
  result.addAttribute(getLowerBoundMapAttrName(result.name),
                      AffineMapAttr::get(lbMap));
  result.addOperands(lbOperands);
 
  // Add the upper bound.
  result.addAttribute(getUpperBoundMapAttrName(result.name),
                      AffineMapAttr::get(ubMap));
  result.addOperands(ubOperands);
 
  result.addOperands(iterArgs);
  // Create a region and a block for the body.  The argument of the region is
  // the loop induction variable.
  Region *bodyRegion = result.addRegion();
  Block *bodyBlock = builder.createBlock(bodyRegion);
  Value inductionVar =
      bodyBlock->addArgument(builder.getIndexType(), result.location);
  for (Value val : iterArgs)
    bodyBlock->addArgument(val.getType(), val.getLoc());
 
  // Create the default terminator if the builder is not provided and if the
  // iteration arguments are not provided. Otherwise, leave this to the caller
  // because we don't know which values to return from the loop.
  if (iterArgs.empty() && !bodyBuilder) {
    ensureTerminator(*bodyRegion, builder, result.location);
  } else if (bodyBuilder) {
    OpBuilder::InsertionGuard guard(builder);
    builder.setInsertionPointToStart(bodyBlock);
    bodyBuilder(builder, result.location, inductionVar,
                bodyBlock->getArguments().drop_front());
  }
}
 
void AffineForOp::build(OpBuilder &builder, OperationState &result, int64_t lb,
                        int64_t ub, int64_t step, ValueRange iterArgs,
                        BodyBuilderFn bodyBuilder) {
  auto lbMap = AffineMap::getConstantMap(lb, builder.getContext());
  auto ubMap = AffineMap::getConstantMap(ub, builder.getContext());
  return build(builder, result, {}, lbMap, {}, ubMap, step, iterArgs,
               bodyBuilder);
}
 
LogicalResult AffineForOp::verify() {
  auto *body = getBody();
  if (body->getNumArguments() == 0 || !getInductionVar().getType().isIndex())
    return emitOpError("expected body to have an index argument for the "
                       "induction variable");
 
  return success();
}
 
LogicalResult AffineForOp::verifyRegions() {
  // Step must be a strictly positive integer.
  if (getStepAsInt() <= 0)
    return emitOpError("expected step to be a positive integer, got ")
           << getStepAsInt();
 
  // Verify that the bound operands are valid dimension/symbols.
  /// Lower bound.
  if (getLowerBoundMap().getNumInputs() > 0)
    if (failed(verifyDimAndSymbolIdentifiers(*this, getLowerBoundOperands(),
                                             getLowerBoundMap().getNumDims())))
      return failure();
  /// Upper bound.
  if (getUpperBoundMap().getNumInputs() > 0)
    if (failed(verifyDimAndSymbolIdentifiers(*this, getUpperBoundOperands(),
                                             getUpperBoundMap().getNumDims())))
      return failure();
  if (getLowerBoundMap().getNumResults() < 1)
    return emitOpError("expected lower bound map to have at least one result");
  if (getUpperBoundMap().getNumResults() < 1)
    return emitOpError("expected upper bound map to have at least one result");
 
  unsigned opNumResults = getNumResults();
  if (opNumResults == 0)
    return success();
 
  // If ForOp defines values, check that the number and types of the defined
  // values match ForOp initial iter operands and backedge basic block
  // arguments.
  if (getNumIterOperands() != opNumResults)
    return emitOpError(
        "mismatch between the number of loop-carried values and results");
  if (getNumRegionIterArgs() != opNumResults)
    return emitOpError(
        "mismatch between the number of basic block args and results");
 
  return success();
}
 
/// Parse a for operation loop bounds.
static ParseResult parseBound(bool isLower, OperationState &result,
                              OpAsmParser &p) {
  // 'min' / 'max' prefixes are generally syntactic sugar, but are required if
  // the map has multiple results.
  bool failedToParsedMinMax =
      failed(p.parseOptionalKeyword(isLower ? "max" : "min"));
 
  auto &builder = p.getBuilder();
  auto boundAttrStrName =
      isLower ? AffineForOp::getLowerBoundMapAttrName(result.name)
              : AffineForOp::getUpperBoundMapAttrName(result.name);
 
  // Parse ssa-id as identity map.
  SmallVector<OpAsmParser::UnresolvedOperand, 1> boundOpInfos;
  if (p.parseOperandList(boundOpInfos))
    return failure();
 
  if (!boundOpInfos.empty()) {
    // Check that only one operand was parsed.
    if (boundOpInfos.size() > 1)
      return p.emitError(p.getNameLoc(),
                         "expected only one loop bound operand");
 
    // TODO: improve error message when SSA value is not of index type.
    // Currently it is 'use of value ... expects different type than prior uses'
    if (p.resolveOperand(boundOpInfos.front(), builder.getIndexType(),
                         result.operands))
      return failure();
 
    // Create an identity map using symbol id. This representation is optimized
    // for storage. Analysis passes may expand it into a multi-dimensional map
    // if desired.
    AffineMap map = builder.getSymbolIdentityMap();
    result.addAttribute(boundAttrStrName, AffineMapAttr::get(map));
    return success();
  }
 
  // Get the attribute location.
  SMLoc attrLoc = p.getCurrentLocation();
 
  Attribute boundAttr;
  if (p.parseAttribute(boundAttr, builder.getIndexType(), boundAttrStrName,
                       result.attributes))
    return failure();
 
  // Parse full form - affine map followed by dim and symbol list.
  if (auto affineMapAttr = dyn_cast<AffineMapAttr>(boundAttr)) {
    unsigned currentNumOperands = result.operands.size();
    unsigned numDims;
    if (parseDimAndSymbolList(p, result.operands, numDims))
      return failure();
 
    auto map = affineMapAttr.getValue();
    if (map.getNumDims() != numDims)
      return p.emitError(
          p.getNameLoc(),
          "dim operand count and affine map dim count must match");
 
    unsigned numDimAndSymbolOperands =
        result.operands.size() - currentNumOperands;
    if (numDims + map.getNumSymbols() != numDimAndSymbolOperands)
      return p.emitError(
          p.getNameLoc(),
          "symbol operand count and affine map symbol count must match");
 
    // If the map has multiple results, make sure that we parsed the min/max
    // prefix.
    if (map.getNumResults() > 1 && failedToParsedMinMax) {
      if (isLower) {
        return p.emitError(attrLoc, "lower loop bound affine map with "
                                    "multiple results requires 'max' prefix");
      }
      return p.emitError(attrLoc, "upper loop bound affine map with multiple "
                                  "results requires 'min' prefix");
    }
    return success();
  }
 
  // Parse custom assembly form.
  if (auto integerAttr = dyn_cast<IntegerAttr>(boundAttr)) {
    result.attributes.pop_back();
    result.addAttribute(
        boundAttrStrName,
        AffineMapAttr::get(builder.getConstantAffineMap(integerAttr.getInt())));
    return success();
  }
 
  return p.emitError(
      p.getNameLoc(),
      "expected valid affine map representation for loop bounds");
}
 
ParseResult AffineForOp::parse(OpAsmParser &parser, OperationState &result) {
  auto &builder = parser.getBuilder();
  OpAsmParser::Argument inductionVariable;
  inductionVariable.type = builder.getIndexType();
  // Parse the induction variable followed by '='.
  if (parser.parseArgument(inductionVariable) || parser.parseEqual())
    return failure();
 
  // Parse loop bounds.
  int64_t numOperands = result.operands.size();
  if (parseBound(/*isLower=*/true, result, parser))
    return failure();
  int64_t numLbOperands = result.operands.size() - numOperands;
  if (parser.parseKeyword("to", " between bounds"))
    return failure();
  numOperands = result.operands.size();
  if (parseBound(/*isLower=*/false, result, parser))
    return failure();
  int64_t numUbOperands = result.operands.size() - numOperands;
 
  // Parse the optional loop step, we default to 1 if one is not present.
  if (parser.parseOptionalKeyword("step")) {
    result.addAttribute(
        getStepAttrName(result.name),
        builder.getIntegerAttr(builder.getIndexType(), /*value=*/1));
  } else {
    SMLoc stepLoc = parser.getCurrentLocation();
    IntegerAttr stepAttr;
    if (parser.parseAttribute(stepAttr, builder.getIndexType(),
                              getStepAttrName(result.name).data(),
                              result.attributes))
      return failure();
 
    if (!stepAttr.getValue().isStrictlyPositive())
      return parser.emitError(
          stepLoc,
          "expected step to be representable as a positive signed integer");
  }
 
  // Parse the optional initial iteration arguments.
  SmallVector<OpAsmParser::Argument, 4> regionArgs;
  SmallVector<OpAsmParser::UnresolvedOperand, 4> operands;
 
  // Induction variable.
  regionArgs.push_back(inductionVariable);
 
  if (succeeded(parser.parseOptionalKeyword("iter_args"))) {
    // Parse assignment list and results type list.
    if (parser.parseAssignmentList(regionArgs, operands) ||
        parser.parseArrowTypeList(result.types))
      return failure();
    // Resolve input operands.
    for (auto argOperandType :
         llvm::zip(llvm::drop_begin(regionArgs), operands, result.types)) {
      Type type = std::get<2>(argOperandType);
      std::get<0>(argOperandType).type = type;
      if (parser.resolveOperand(std::get<1>(argOperandType), type,
                                result.operands))
        return failure();
    }
  }
 
  result.addAttribute(
      getOperandSegmentSizeAttr(),
      builder.getDenseI32ArrayAttr({static_cast<int32_t>(numLbOperands),
                                    static_cast<int32_t>(numUbOperands),
                                    static_cast<int32_t>(operands.size())}));
 
  // Parse the body region.
  Region *body = result.addRegion();
  if (regionArgs.size() != result.types.size() + 1)
    return parser.emitError(
        parser.getNameLoc(),
        "mismatch between the number of loop-carried values and results");
  if (parser.parseRegion(*body, regionArgs))
    return failure();
 
  AffineForOp::ensureTerminator(*body, builder, result.location);
 
  // Parse the optional attribute list.
  return parser.parseOptionalAttrDict(result.attributes);
}
 
static void printBound(AffineMapAttr boundMap,
                       Operation::operand_range boundOperands,
                       const char *prefix, OpAsmPrinter &p) {
  AffineMap map = boundMap.getValue();
 
  // Check if this bound should be printed using custom assembly form.
  // The decision to restrict printing custom assembly form to trivial cases
  // comes from the will to roundtrip MLIR binary -> text -> binary in a
  // lossless way.
  // Therefore, custom assembly form parsing and printing is only supported for
  // zero-operand constant maps and single symbol operand identity maps.
  if (map.getNumResults() == 1) {
    AffineExpr expr = map.getResult(0);
 
    // Print constant bound.
    if (map.getNumDims() == 0 && map.getNumSymbols() == 0) {
      if (auto constExpr = dyn_cast<AffineConstantExpr>(expr)) {
        p << constExpr.getValue();
        return;
      }
    }
 
    // Print bound that consists of a single SSA symbol if the map is over a
    // single symbol.
    if (map.getNumDims() == 0 && map.getNumSymbols() == 1) {
      if (isa<AffineSymbolExpr>(expr)) {
        p.printOperand(*boundOperands.begin());
        return;
      }
    }
  } else {
    // Map has multiple results. Print 'min' or 'max' prefix.
    p << prefix << ' ';
  }
 
  // Print the map and its operands.
  p << boundMap;
  printDimAndSymbolList(boundOperands.begin(), boundOperands.end(),
                        map.getNumDims(), p);
}
 
unsigned AffineForOp::getNumIterOperands() {
  AffineMap lbMap = getLowerBoundMapAttr().getValue();
  AffineMap ubMap = getUpperBoundMapAttr().getValue();
 
  return getNumOperands() - lbMap.getNumInputs() - ubMap.getNumInputs();
}
 
std::optional<MutableArrayRef<OpOperand>>
AffineForOp::getYieldedValuesMutable() {
  return cast<AffineYieldOp>(getBody()->getTerminator()).getOperandsMutable();
}
 
void AffineForOp::print(OpAsmPrinter &p) {
  p << ' ';
  p.printRegionArgument(getBody()->getArgument(0), /*argAttrs=*/{},
                        /*omitType=*/true);
  p << " = ";
  printBound(getLowerBoundMapAttr(), getLowerBoundOperands(), "max", p);
  p << " to ";
  printBound(getUpperBoundMapAttr(), getUpperBoundOperands(), "min", p);
 
  if (getStepAsInt() != 1)
    p << " step " << getStepAsInt();
 
  bool printBlockTerminators = false;
  if (getNumIterOperands() > 0) {
    p << " iter_args(";
    auto regionArgs = getRegionIterArgs();
    auto operands = getInits();
 
    llvm::interleaveComma(llvm::zip(regionArgs, operands), p, [&](auto it) {
      p << std::get<0>(it) << " = " << std::get<1>(it);
    });
    p << ") -> (" << getResultTypes() << ")";
    printBlockTerminators = true;
  }
 
  p << ' ';
  p.printRegion(getRegion(), /*printEntryBlockArgs=*/false,
                printBlockTerminators);
  p.printOptionalAttrDict((*this)->getDiscardableAttrDictionary().getValue());
}
 
/// Fold the constant bounds of a loop.
static LogicalResult foldLoopBounds(AffineForOp forOp) {
  auto foldLowerOrUpperBound = [&forOp](bool lower) {
    // Check to see if each of the operands is the result of a constant.  If
    // so, get the value.  If not, ignore it.
    SmallVector<Attribute, 8> operandConstants;
    auto boundOperands =
        lower ? forOp.getLowerBoundOperands() : forOp.getUpperBoundOperands();
    for (auto operand : boundOperands) {
      Attribute operandCst;
      matchPattern(operand, m_Constant(&operandCst));
      operandConstants.push_back(operandCst);
    }
 
    AffineMap boundMap =
        lower ? forOp.getLowerBoundMap() : forOp.getUpperBoundMap();
    assert(boundMap.getNumResults() >= 1 &&
           "bound maps should have at least one result");
    SmallVector<Attribute, 4> foldedResults;
    if (failed(boundMap.constantFold(operandConstants, foldedResults)))
      return failure();
 
    // Compute the max or min as applicable over the results.
    assert(!foldedResults.empty() && "bounds should have at least one result");
    auto maxOrMin = llvm::cast<IntegerAttr>(foldedResults[0]).getValue();
    for (unsigned i = 1, e = foldedResults.size(); i < e; i++) {
      auto foldedResult = llvm::cast<IntegerAttr>(foldedResults[i]).getValue();
      maxOrMin = lower ? llvm::APIntOps::smax(maxOrMin, foldedResult)
                       : llvm::APIntOps::smin(maxOrMin, foldedResult);
    }
    lower ? forOp.setConstantLowerBound(maxOrMin.getSExtValue())
          : forOp.setConstantUpperBound(maxOrMin.getSExtValue());
    return success();
  };
 
  // Try to fold the lower bound.
  bool folded = false;
  if (!forOp.hasConstantLowerBound())
    folded |= succeeded(foldLowerOrUpperBound(/*lower=*/true));
 
  // Try to fold the upper bound.
  if (!forOp.hasConstantUpperBound())
    folded |= succeeded(foldLowerOrUpperBound(/*lower=*/false));
  return success(folded);
}
 
/// Returns constant trip count in trivial cases.
static std::optional<uint64_t> getTrivialConstantTripCount(AffineForOp forOp) {
  int64_t step = forOp.getStepAsInt();
  if (!forOp.hasConstantBounds() || step <= 0)
    return std::nullopt;
  int64_t lb = forOp.getConstantLowerBound();
  int64_t ub = forOp.getConstantUpperBound();
  return ub - lb <= 0 ? 0 : (ub - lb + step - 1) / step;
}
 
/// Fold the empty loop.
static SmallVector<OpFoldResult> AffineForEmptyLoopFolder(AffineForOp forOp) {
  if (!llvm::hasSingleElement(*forOp.getBody()))
    return {};
  if (forOp.getNumResults() == 0)
    return {};
  std::optional<uint64_t> tripCount = getTrivialConstantTripCount(forOp);
  if (tripCount == 0) {
    // The initial values of the iteration arguments would be the op's
    // results.
    return forOp.getInits();
  }
  SmallVector<Value, 4> replacements;
  auto yieldOp = cast<AffineYieldOp>(forOp.getBody()->getTerminator());
  auto iterArgs = forOp.getRegionIterArgs();
  bool hasValDefinedOutsideLoop = false;
  bool iterArgsNotInOrder = false;
  for (unsigned i = 0, e = yieldOp->getNumOperands(); i < e; ++i) {
    Value val = yieldOp.getOperand(i);
    BlockArgument *iterArgIt = llvm::find(iterArgs, val);
    // TODO: It should be possible to perform a replacement by computing the
    // last value of the IV based on the bounds and the step.
    if (val == forOp.getInductionVar())
      return {};
    if (iterArgIt == iterArgs.end()) {
      // `val` is defined outside of the loop.
      assert(forOp.isDefinedOutsideOfLoop(val) &&
             "must be defined outside of the loop");
      hasValDefinedOutsideLoop = true;
      replacements.push_back(val);
    } else {
      unsigned pos = std::distance(iterArgs.begin(), iterArgIt);
      if (pos != i)
        iterArgsNotInOrder = true;
      replacements.push_back(forOp.getInits()[pos]);
    }
  }
  // Bail out when the trip count is unknown and the loop returns any value
  // defined outside of the loop or any iterArg out of order.
  if (!tripCount.has_value() &&
      (hasValDefinedOutsideLoop || iterArgsNotInOrder))
    return {};
  // Bail out when the loop iterates more than once and it returns any iterArg
  // out of order.
  if (tripCount.has_value() && tripCount.value() >= 2 && iterArgsNotInOrder)
    return {};
  return llvm::to_vector_of<OpFoldResult>(replacements);
}
 
/// Canonicalize the bounds of the given loop.
static LogicalResult canonicalizeLoopBounds(AffineForOp forOp) {
  SmallVector<Value, 4> lbOperands(forOp.getLowerBoundOperands());
  SmallVector<Value, 4> ubOperands(forOp.getUpperBoundOperands());
 
  auto lbMap = forOp.getLowerBoundMap();
  auto ubMap = forOp.getUpperBoundMap();
  auto prevLbMap = lbMap;
  auto prevUbMap = ubMap;
 
  composeAffineMapAndOperands(&lbMap, &lbOperands);
  canonicalizeMapAndOperands(&lbMap, &lbOperands);
  simplifyMinOrMaxExprWithOperands(lbMap, lbOperands, /*isMax=*/true);
  simplifyMinOrMaxExprWithOperands(ubMap, ubOperands, /*isMax=*/false);
  lbMap = removeDuplicateExprs(lbMap);
 
  composeAffineMapAndOperands(&ubMap, &ubOperands);
  canonicalizeMapAndOperands(&ubMap, &ubOperands);
  ubMap = removeDuplicateExprs(ubMap);
 
  // Any canonicalization change always leads to updated map(s).
  if (lbMap == prevLbMap && ubMap == prevUbMap)
    return failure();
 
  if (lbMap != prevLbMap)
    forOp.setLowerBound(lbOperands, lbMap);
  if (ubMap != prevUbMap)
    forOp.setUpperBound(ubOperands, ubMap);
  return success();
}
 
/// Returns true if the affine.for has zero iterations in trivial cases.
static bool hasTrivialZeroTripCount(AffineForOp op) {
  return getTrivialConstantTripCount(op) == 0;
}
 
LogicalResult AffineForOp::fold(FoldAdaptor adaptor,
                                SmallVectorImpl<OpFoldResult> &results) {
  bool folded = succeeded(foldLoopBounds(*this));
  folded |= succeeded(canonicalizeLoopBounds(*this));
  if (hasTrivialZeroTripCount(*this) && getNumResults() != 0) {
    // The initial values of the loop-carried variables (iter_args) are the
    // results of the op. But this must be avoided for an affine.for op that
    // does not return any results. Since ops that do not return results cannot
    // be folded away, we would enter an infinite loop of folds on the same
    // affine.for op.
    results.assign(getInits().begin(), getInits().end());
    folded = true;
  }
  SmallVector<OpFoldResult> foldResults = AffineForEmptyLoopFolder(*this);
  if (!foldResults.empty()) {
    results.assign(foldResults);
    folded = true;
  }
  return success(folded);
}
 
OperandRange AffineForOp::getEntrySuccessorOperands(RegionSuccessor successor) {
  assert(
      (successor.isOperation() || successor.getSuccessor() == &getRegion()) &&
      "invalid region point");
 
  // The initial operands map to the loop arguments after the induction
  // variable or are forwarded to the results when the trip count is zero.
  return getInits();
}
 
void AffineForOp::getSuccessorRegions(
    RegionBranchPoint point, SmallVectorImpl<RegionSuccessor> &regions) {
  assert((point.isParent() ||
          point.getTerminatorPredecessorOrNull()->getParentRegion() ==
              &getRegion()) &&
         "expected loop region");
  // The loop may typically branch back to its body or to the parent operation.
  // If the predecessor is the parent op and the trip count is known to be at
  // least one, branch into the body using the iterator arguments. And in cases
  // we know the trip count is zero, it can only branch back to its parent.
  std::optional<uint64_t> tripCount = getTrivialConstantTripCount(*this);
  if (tripCount.has_value()) {
    if (!point.isParent()) {
      // From the loop body, if the trip count is one, we can only branch back
      // to the parent.
      if (tripCount == 1) {
        regions.push_back(RegionSuccessor(getOperation()));
        return;
      }
      if (tripCount == 0)
        return;
    } else {
      if (tripCount.value() > 0) {
        regions.push_back(RegionSuccessor(&getRegion()));
        return;
      }
      if (tripCount.value() == 0) {
        regions.push_back(RegionSuccessor(getOperation()));
        return;
      }
    }
  }
 
  // In all other cases, the loop may branch back to itself or the parent
  // operation.
  regions.push_back(RegionSuccessor(&getRegion()));
  regions.push_back(RegionSuccessor(getOperation()));
}
 
ValueRange AffineForOp::getSuccessorInputs(RegionSuccessor successor) {
  if (successor.isOperation())
    return getResults();
  return getRegionIterArgs();
}
 
AffineBound AffineForOp::getLowerBound() {
  return AffineBound(*this, getLowerBoundOperands(), getLowerBoundMap());
}
 
AffineBound AffineForOp::getUpperBound() {
  return AffineBound(*this, getUpperBoundOperands(), getUpperBoundMap());
}
 
void AffineForOp::setLowerBound(ValueRange lbOperands, AffineMap map) {
  assert(lbOperands.size() == map.getNumInputs());
  assert(map.getNumResults() >= 1 && "bound map has at least one result");
  getLowerBoundOperandsMutable().assign(lbOperands);
  setLowerBoundMap(map);
}
 
void AffineForOp::setUpperBound(ValueRange ubOperands, AffineMap map) {
  assert(ubOperands.size() == map.getNumInputs());
  assert(map.getNumResults() >= 1 && "bound map has at least one result");
  getUpperBoundOperandsMutable().assign(ubOperands);
  setUpperBoundMap(map);
}
 
bool AffineForOp::hasConstantLowerBound() {
  return getLowerBoundMap().isSingleConstant();
}
 
bool AffineForOp::hasConstantUpperBound() {
  return getUpperBoundMap().isSingleConstant();
}
 
int64_t AffineForOp::getConstantLowerBound() {
  return getLowerBoundMap().getSingleConstantResult();
}
 
int64_t AffineForOp::getConstantUpperBound() {
  return getUpperBoundMap().getSingleConstantResult();
}
 
void AffineForOp::setConstantLowerBound(int64_t value) {
  setLowerBound({}, AffineMap::getConstantMap(value, getContext()));
}
 
void AffineForOp::setConstantUpperBound(int64_t value) {
  setUpperBound({}, AffineMap::getConstantMap(value, getContext()));
}
 
AffineForOp::operand_range AffineForOp::getControlOperands() {
  return {operand_begin(), operand_begin() + getLowerBoundOperands().size() +
                               getUpperBoundOperands().size()};
}
 
bool AffineForOp::matchingBoundOperandList() {
  auto lbMap = getLowerBoundMap();
  auto ubMap = getUpperBoundMap();
  if (lbMap.getNumDims() != ubMap.getNumDims() ||
      lbMap.getNumSymbols() != ubMap.getNumSymbols())
    return false;
 
  unsigned numOperands = lbMap.getNumInputs();
  for (unsigned i = 0, e = lbMap.getNumInputs(); i < e; i++) {
    // Compare Value 's.
    if (getOperand(i) != getOperand(numOperands + i))
      return false;
  }
  return true;
}
 
SmallVector<Region *> AffineForOp::getLoopRegions() { return {&getRegion()}; }
 
std::optional<SmallVector<Value>> AffineForOp::getLoopInductionVars() {
  return SmallVector<Value>{getInductionVar()};
}
 
std::optional<SmallVector<OpFoldResult>> AffineForOp::getLoopLowerBounds() {
  if (!hasConstantLowerBound())
    return std::nullopt;
  OpBuilder b(getContext());
  return SmallVector<OpFoldResult>{
      OpFoldResult(b.getI64IntegerAttr(getConstantLowerBound()))};
}
 
std::optional<SmallVector<OpFoldResult>> AffineForOp::getLoopSteps() {
  OpBuilder b(getContext());
  return SmallVector<OpFoldResult>{
      OpFoldResult(b.getI64IntegerAttr(getStepAsInt()))};
}
 
std::optional<SmallVector<OpFoldResult>> AffineForOp::getLoopUpperBounds() {
  if (!hasConstantUpperBound())
    return {};
  OpBuilder b(getContext());
  return SmallVector<OpFoldResult>{
      OpFoldResult(b.getI64IntegerAttr(getConstantUpperBound()))};
}
 
std::optional<APInt> AffineForOp::getStaticTripCount() {
  MLIRContext *context = getContext();
  int64_t step = getStepAsInt();
  if (step <= 0)
    return std::nullopt;
 
  if (hasConstantBounds()) {
    int64_t lb = getConstantLowerBound();
    int64_t ub = getConstantUpperBound();
    int64_t loopSpan = ub - lb;
    if (loopSpan < 0)
      loopSpan = 0;
    return APInt(64, llvm::divideCeilSigned(loopSpan, step));
  }
 
  auto lbMap = getLowerBoundMap();
  auto ubMap = getUpperBoundMap();
  if (lbMap.getNumResults() != 1)
    return std::nullopt;
 
  // Difference of each upper bound expression from the single lower bound
  // expression (divided by the step) provides the expressions for the trip
  // count map.
  AffineValueMap ubValueMap(ubMap, getUpperBoundOperands());
 
  SmallVector<AffineExpr, 4> lbSplatExpr(ubValueMap.getNumResults(),
                                         lbMap.getResult(0));
  auto lbMapSplat = AffineMap::get(lbMap.getNumDims(), lbMap.getNumSymbols(),
                                   lbSplatExpr, context);
  AffineValueMap lbSplatValueMap(lbMapSplat, getLowerBoundOperands());
 
  AffineValueMap tripCountValueMap;
  AffineValueMap::difference(ubValueMap, lbSplatValueMap, &tripCountValueMap);
 
  // Take the min if all trip counts are constant.
  std::optional<uint64_t> tripCount;
  for (unsigned i = 0, e = tripCountValueMap.getNumResults(); i < e; ++i) {
    AffineExpr expr = tripCountValueMap.getResult(i).ceilDiv(step);
    if (auto constExpr = llvm::dyn_cast<AffineConstantExpr>(expr)) {
      uint64_t value = constExpr.getValue();
      if (tripCount.has_value())
        tripCount = std::min(*tripCount, value);
      else
        tripCount = value;
    } else {
      return std::nullopt;
    }
  }
 
  if (tripCount.has_value())
    return APInt(64, *tripCount);
 
  return std::nullopt;
}
 
FailureOr<LoopLikeOpInterface> AffineForOp::replaceWithAdditionalYields(
    RewriterBase &rewriter, ValueRange newInitOperands,
    bool replaceInitOperandUsesInLoop,
    const NewYieldValuesFn &newYieldValuesFn) {
  // Create a new loop before the existing one, with the extra operands.
  OpBuilder::InsertionGuard g(rewriter);
  rewriter.setInsertionPoint(getOperation());
  auto inits = llvm::to_vector(getInits());
  inits.append(newInitOperands.begin(), newInitOperands.end());
  AffineForOp newLoop = AffineForOp::create(
      rewriter, getLoc(), getLowerBoundOperands(), getLowerBoundMap(),
      getUpperBoundOperands(), getUpperBoundMap(), getStepAsInt(), inits);
  // Existing operands, results, and region arguments retain their positions;
  // only new loop-carried values are appended.
  newLoop->setDiscardableAttrs(getOperation()->getDiscardableAttrDictionary());
 
  // Generate the new yield values and append them to the scf.yield operation.
  auto yieldOp = cast<AffineYieldOp>(getBody()->getTerminator());
  ArrayRef<BlockArgument> newIterArgs =
      newLoop.getBody()->getArguments().take_back(newInitOperands.size());
  {
    OpBuilder::InsertionGuard g(rewriter);
    rewriter.setInsertionPoint(yieldOp);
    SmallVector<Value> newYieldedValues =
        newYieldValuesFn(rewriter, getLoc(), newIterArgs);
    assert(newInitOperands.size() == newYieldedValues.size() &&
           "expected as many new yield values as new iter operands");
    rewriter.modifyOpInPlace(yieldOp, [&]() {
      yieldOp.getOperandsMutable().append(newYieldedValues);
    });
  }
 
  // Move the loop body to the new op.
  rewriter.mergeBlocks(getBody(), newLoop.getBody(),
                       newLoop.getBody()->getArguments().take_front(
                           getBody()->getNumArguments()));
 
  if (replaceInitOperandUsesInLoop) {
    // Replace all uses of `newInitOperands` with the corresponding basic block
    // arguments.
    for (auto it : llvm::zip(newInitOperands, newIterArgs)) {
      rewriter.replaceUsesWithIf(std::get<0>(it), std::get<1>(it),
                                 [&](OpOperand &use) {
                                   Operation *user = use.getOwner();
                                   return newLoop->isProperAncestor(user);
                                 });
    }
  }
 
  // Replace the old loop.
  rewriter.replaceOp(getOperation(),
                     newLoop->getResults().take_front(getNumResults()));
  return cast<LoopLikeOpInterface>(newLoop.getOperation());
}
 
Speculation::Speculatability AffineForOp::getSpeculatability() {
  // `affine.for (I = Start; I < End; I += 1)` terminates for all values of
  // Start and End.
  //
  // For Step != 1, the loop may not terminate.  We can add more smarts here if
  // needed.
  return getStepAsInt() == 1 ? Speculation::RecursivelySpeculatable
                             : Speculation::NotSpeculatable;
}
 
/// Returns true if the provided value is the induction variable of a
/// AffineForOp.
bool mlir::affine::isAffineForInductionVar(Value val) {
  return getForInductionVarOwner(val) != AffineForOp();
}
 
bool mlir::affine::isAffineParallelInductionVar(Value val) {
  return getAffineParallelInductionVarOwner(val) != nullptr;
}
 
bool mlir::affine::isAffineInductionVar(Value val) {
  return isAffineForInductionVar(val) || isAffineParallelInductionVar(val);
}
 
AffineForOp mlir::affine::getForInductionVarOwner(Value val) {
  auto ivArg = dyn_cast<BlockArgument>(val);
  if (!ivArg || !ivArg.getOwner() || !ivArg.getOwner()->getParent())
    return AffineForOp();
  if (auto forOp =
          ivArg.getOwner()->getParent()->getParentOfType<AffineForOp>())
    // Check to make sure `val` is the induction variable, not an iter_arg.
    return forOp.getInductionVar() == val ? forOp : AffineForOp();
  return AffineForOp();
}
 
AffineParallelOp mlir::affine::getAffineParallelInductionVarOwner(Value val) {
  auto ivArg = dyn_cast<BlockArgument>(val);
  if (!ivArg || !ivArg.getOwner())
    return nullptr;
  Operation *containingOp = ivArg.getOwner()->getParentOp();
  auto parallelOp = dyn_cast_if_present<AffineParallelOp>(containingOp);
  if (parallelOp && llvm::is_contained(parallelOp.getIVs(), val))
    return parallelOp;
  return nullptr;
}
 
/// Extracts the induction variables from a list of AffineForOps and returns
/// them.
void mlir::affine::extractForInductionVars(ArrayRef<AffineForOp> forInsts,
                                           SmallVectorImpl<Value> *ivs) {
  ivs->reserve(forInsts.size());
  for (auto forInst : forInsts)
    ivs->push_back(forInst.getInductionVar());
}
 
void mlir::affine::extractInductionVars(ArrayRef<mlir::Operation *> affineOps,
                                        SmallVectorImpl<mlir::Value> &ivs) {
  ivs.reserve(affineOps.size());
  for (Operation *op : affineOps) {
    // Add constraints from forOp's bounds.
    if (auto forOp = dyn_cast<AffineForOp>(op))
      ivs.push_back(forOp.getInductionVar());
    else if (auto parallelOp = dyn_cast<AffineParallelOp>(op))
      for (size_t i = 0; i < parallelOp.getBody()->getNumArguments(); i++)
        ivs.push_back(parallelOp.getBody()->getArgument(i));
  }
}
 
/// Builds an affine loop nest, using "loopCreatorFn" to create individual loop
/// operations.
template <typename BoundListTy, typename LoopCreatorTy>
static void buildAffineLoopNestImpl(
    OpBuilder &builder, Location loc, BoundListTy lbs, BoundListTy ubs,
    ArrayRef<int64_t> steps,
    function_ref<void(OpBuilder &, Location, ValueRange)> bodyBuilderFn,
    LoopCreatorTy &&loopCreatorFn) {
  assert(lbs.size() == ubs.size() && "Mismatch in number of arguments");
  assert(lbs.size() == steps.size() && "Mismatch in number of arguments");
 
  // If there are no loops to be constructed, construct the body anyway.
  OpBuilder::InsertionGuard guard(builder);
  if (lbs.empty()) {
    if (bodyBuilderFn)
      bodyBuilderFn(builder, loc, ValueRange());
    return;
  }
 
  // Create the loops iteratively and store the induction variables.
  SmallVector<Value, 4> ivs;
  ivs.reserve(lbs.size());
  for (unsigned i = 0, e = lbs.size(); i < e; ++i) {
    // Callback for creating the loop body, always creates the terminator.
    auto loopBody = [&](OpBuilder &nestedBuilder, Location nestedLoc, Value iv,
                        ValueRange iterArgs) {
      ivs.push_back(iv);
      // In the innermost loop, call the body builder.
      if (i == e - 1 && bodyBuilderFn) {
        OpBuilder::InsertionGuard nestedGuard(nestedBuilder);
        bodyBuilderFn(nestedBuilder, nestedLoc, ivs);
      }
      AffineYieldOp::create(nestedBuilder, nestedLoc);
    };
 
    // Delegate actual loop creation to the callback in order to dispatch
    // between constant- and variable-bound loops.
    auto loop = loopCreatorFn(builder, loc, lbs[i], ubs[i], steps[i], loopBody);
    builder.setInsertionPointToStart(loop.getBody());
  }
}
 
/// Creates an affine loop from the bounds known to be constants.
static AffineForOp
buildAffineLoopFromConstants(OpBuilder &builder, Location loc, int64_t lb,
                             int64_t ub, int64_t step,
                             AffineForOp::BodyBuilderFn bodyBuilderFn) {
  return AffineForOp::create(builder, loc, lb, ub, step,
                             /*iterArgs=*/ValueRange(), bodyBuilderFn);
}
 
/// Creates an affine loop from the bounds that may or may not be constants.
static AffineForOp
buildAffineLoopFromValues(OpBuilder &builder, Location loc, Value lb, Value ub,
                          int64_t step,
                          AffineForOp::BodyBuilderFn bodyBuilderFn) {
  std::optional<int64_t> lbConst = getConstantIntValue(lb);
  std::optional<int64_t> ubConst = getConstantIntValue(ub);
  if (lbConst && ubConst)
    return buildAffineLoopFromConstants(builder, loc, lbConst.value(),
                                        ubConst.value(), step, bodyBuilderFn);
  return AffineForOp::create(builder, loc, lb, builder.getDimIdentityMap(), ub,
                             builder.getDimIdentityMap(), step,
                             /*iterArgs=*/ValueRange(), bodyBuilderFn);
}
 
void mlir::affine::buildAffineLoopNest(
    OpBuilder &builder, Location loc, ArrayRef<int64_t> lbs,
    ArrayRef<int64_t> ubs, ArrayRef<int64_t> steps,
    function_ref<void(OpBuilder &, Location, ValueRange)> bodyBuilderFn) {
  buildAffineLoopNestImpl(builder, loc, lbs, ubs, steps, bodyBuilderFn,
                          buildAffineLoopFromConstants);
}
 
void mlir::affine::buildAffineLoopNest(
    OpBuilder &builder, Location loc, ValueRange lbs, ValueRange ubs,
    ArrayRef<int64_t> steps,
    function_ref<void(OpBuilder &, Location, ValueRange)> bodyBuilderFn) {
  buildAffineLoopNestImpl(builder, loc, lbs, ubs, steps, bodyBuilderFn,
                          buildAffineLoopFromValues);
}
 
//===----------------------------------------------------------------------===//
// AffineIfOp
//===----------------------------------------------------------------------===//
 
namespace {
/// Remove else blocks that have nothing other than a zero value yield.
struct SimplifyDeadElse : public OpRewritePattern<AffineIfOp> {
  using OpRewritePattern<AffineIfOp>::OpRewritePattern;
 
  LogicalResult matchAndRewrite(AffineIfOp ifOp,
                                PatternRewriter &rewriter) const override {
    if (ifOp.getElseRegion().empty() ||
        !llvm::hasSingleElement(*ifOp.getElseBlock()) || ifOp.getNumResults())
      return failure();
 
    rewriter.startOpModification(ifOp);
    rewriter.eraseBlock(ifOp.getElseBlock());
    rewriter.finalizeOpModification(ifOp);
    return success();
  }
};
 
/// Removes affine.if cond if the condition is always true or false in certain
/// trivial cases. Promotes the then/else block in the parent operation block.
struct AlwaysTrueOrFalseIf : public OpRewritePattern<AffineIfOp> {
  using OpRewritePattern<AffineIfOp>::OpRewritePattern;
 
  LogicalResult matchAndRewrite(AffineIfOp op,
                                PatternRewriter &rewriter) const override {
 
    auto isTriviallyFalse = [](IntegerSet iSet) {
      return iSet.isEmptyIntegerSet();
    };
 
    auto isTriviallyTrue = [](IntegerSet iSet) {
      return (iSet.getNumEqualities() == 1 && iSet.getNumInequalities() == 0 &&
              iSet.getConstraint(0) == 0);
    };
 
    IntegerSet affineIfConditions = op.getIntegerSet();
    Block *blockToMove;
    if (isTriviallyFalse(affineIfConditions)) {
      // The absence, or equivalently, the emptiness of the else region need not
      // be checked when affine.if is returning results because if an affine.if
      // operation is returning results, it always has a non-empty else region.
      if (op.getNumResults() == 0 && !op.hasElse()) {
        // If the else region is absent, or equivalently, empty, remove the
        // affine.if operation (which is not returning any results).
        rewriter.eraseOp(op);
        return success();
      }
      blockToMove = op.getElseBlock();
    } else if (isTriviallyTrue(affineIfConditions)) {
      blockToMove = op.getThenBlock();
    } else {
      return failure();
    }
    Operation *blockToMoveTerminator = blockToMove->getTerminator();
    // Promote the "blockToMove" block to the parent operation block between the
    // prologue and epilogue of "op".
    rewriter.inlineBlockBefore(blockToMove, op);
    // Replace the "op" operation with the operands of the
    // "blockToMoveTerminator" operation. Note that "blockToMoveTerminator" is
    // the affine.yield operation present in the "blockToMove" block. It has no
    // operands when affine.if is not returning results and therefore, in that
    // case, replaceOp just erases "op". When affine.if is not returning
    // results, the affine.yield operation can be omitted. It gets inserted
    // implicitly.
    rewriter.replaceOp(op, blockToMoveTerminator->getOperands());
    // Erase the "blockToMoveTerminator" operation since it is now in the parent
    // operation block, which already has its own terminator.
    rewriter.eraseOp(blockToMoveTerminator);
    return success();
  }
};
} // namespace
 
/// AffineIfOp has two regions -- `then` and `else`. The flow of data should be
/// as follows: AffineIfOp -> `then`/`else` -> AffineIfOp
void AffineIfOp::getSuccessorRegions(
    RegionBranchPoint point, SmallVectorImpl<RegionSuccessor> &regions) {
  // If the predecessor is an AffineIfOp, then branching into both `then` and
  // `else` region is valid.
  if (point.isParent()) {
    regions.reserve(2);
    regions.push_back(RegionSuccessor(&getThenRegion()));
    // If the "else" region is empty, branch bach into parent.
    if (getElseRegion().empty()) {
      regions.push_back(RegionSuccessor(getOperation()));
    } else {
      regions.push_back(RegionSuccessor(&getElseRegion()));
    }
    return;
  }
 
  // If the predecessor is the `else`/`then` region, then branching into parent
  // op is valid.
  regions.push_back(RegionSuccessor(getOperation()));
}
 
ValueRange AffineIfOp::getSuccessorInputs(RegionSuccessor successor) {
  if (successor.isOperation())
    return getResults();
  if (successor == &getThenRegion())
    return getThenRegion().getArguments();
  if (successor == &getElseRegion())
    return getElseRegion().getArguments();
  llvm_unreachable("invalid region successor");
}
 
LogicalResult AffineIfOp::verify() {
  // Verify that we have a condition attribute.
  // FIXME: This should be specified in the arguments list in ODS.
  auto conditionAttr = getConditionAttr();
  if (!conditionAttr)
    return emitOpError("requires an integer set attribute named 'condition'");
 
  // Verify that there are enough operands for the condition.
  IntegerSet condition = conditionAttr.getValue();
  if (getNumOperands() != condition.getNumInputs())
    return emitOpError("operand count and condition integer set dimension and "
                       "symbol count must match");
 
  // Verify that the operands are valid dimension/symbols.
  if (failed(verifyDimAndSymbolIdentifiers(*this, getOperands(),
                                           condition.getNumDims())))
    return failure();
 
  return success();
}
 
ParseResult AffineIfOp::parse(OpAsmParser &parser, OperationState &result) {
  // Parse the condition attribute set.
  IntegerSetAttr conditionAttr;
  unsigned numDims;
  if (parser.parseAttribute(conditionAttr,
                            AffineIfOp::getConditionAttrStrName(),
                            result.attributes) ||
      parseDimAndSymbolList(parser, result.operands, numDims))
    return failure();
 
  // Verify the condition operands.
  auto set = conditionAttr.getValue();
  if (set.getNumDims() != numDims)
    return parser.emitError(
        parser.getNameLoc(),
        "dim operand count and integer set dim count must match");
  if (numDims + set.getNumSymbols() != result.operands.size())
    return parser.emitError(
        parser.getNameLoc(),
        "symbol operand count and integer set symbol count must match");
 
  if (parser.parseOptionalArrowTypeList(result.types))
    return failure();
 
  // Create the regions for 'then' and 'else'.  The latter must be created even
  // if it remains empty for the validity of the operation.
  result.regions.reserve(2);
  Region *thenRegion = result.addRegion();
  Region *elseRegion = result.addRegion();
 
  // Parse the 'then' region.
  if (parser.parseRegion(*thenRegion, {}, {}))
    return failure();
  AffineIfOp::ensureTerminator(*thenRegion, parser.getBuilder(),
                               result.location);
 
  // If we find an 'else' keyword then parse the 'else' region.
  if (!parser.parseOptionalKeyword("else")) {
    if (parser.parseRegion(*elseRegion, {}, {}))
      return failure();
    AffineIfOp::ensureTerminator(*elseRegion, parser.getBuilder(),
                                 result.location);
  }
 
  // Parse the optional attribute list.
  if (parser.parseOptionalAttrDict(result.attributes))
    return failure();
 
  return success();
}
 
void AffineIfOp::print(OpAsmPrinter &p) {
  auto conditionAttr = getConditionAttr();
  p << " " << conditionAttr;
  printDimAndSymbolList(operand_begin(), operand_end(),
                        conditionAttr.getValue().getNumDims(), p);
  p.printOptionalArrowTypeList(getResultTypes());
  p << ' ';
  p.printRegion(getThenRegion(), /*printEntryBlockArgs=*/false,
                /*printBlockTerminators=*/getNumResults());
 
  // Print the 'else' regions if it has any blocks.
  auto &elseRegion = this->getElseRegion();
  if (!elseRegion.empty()) {
    p << " else ";
    p.printRegion(elseRegion,
                  /*printEntryBlockArgs=*/false,
                  /*printBlockTerminators=*/getNumResults());
  }
 
  // Print the attribute list.
  p.printOptionalAttrDict((*this)->getDiscardableAttrDictionary().getValue());
}
 
IntegerSet AffineIfOp::getIntegerSet() { return getConditionAttr().getValue(); }
 
void AffineIfOp::setIntegerSet(IntegerSet newSet) {
  setConditionAttr(IntegerSetAttr::get(newSet));
}
 
void AffineIfOp::setConditional(IntegerSet set, ValueRange operands) {
  setIntegerSet(set);
  (*this)->setOperands(operands);
}
 
void AffineIfOp::build(OpBuilder &builder, OperationState &result,
                       TypeRange resultTypes, IntegerSet set, ValueRange args,
                       bool withElseRegion) {
  assert(resultTypes.empty() || withElseRegion);
  OpBuilder::InsertionGuard guard(builder);
 
  result.addTypes(resultTypes);
  result.addOperands(args);
  result.addAttribute(getConditionAttrStrName(), IntegerSetAttr::get(set));
 
  Region *thenRegion = result.addRegion();
  builder.createBlock(thenRegion);
  if (resultTypes.empty())
    AffineIfOp::ensureTerminator(*thenRegion, builder, result.location);
 
  Region *elseRegion = result.addRegion();
  if (withElseRegion) {
    builder.createBlock(elseRegion);
    if (resultTypes.empty())
      AffineIfOp::ensureTerminator(*elseRegion, builder, result.location);
  }
}
 
void AffineIfOp::build(OpBuilder &builder, OperationState &result,
                       IntegerSet set, ValueRange args, bool withElseRegion) {
  AffineIfOp::build(builder, result, /*resultTypes=*/{}, set, args,
                    withElseRegion);
}
 
/// Compose any affine.apply ops feeding into `operands` of the integer set
/// `set` by composing the maps of such affine.apply ops with the integer
/// set constraints.
static void composeSetAndOperands(IntegerSet &set,
                                  SmallVectorImpl<Value> &operands,
                                  bool composeAffineMin = false) {
  // We will simply reuse the API of the map composition by viewing the LHSs of
  // the equalities and inequalities of `set` as the affine exprs of an affine
  // map. Convert to equivalent map, compose, and convert back to set.
  auto map = AffineMap::get(set.getNumDims(), set.getNumSymbols(),
                            set.getConstraints(), set.getContext());
  // Check if any composition is possible.
  if (llvm::none_of(operands,
                    [](Value v) { return v.getDefiningOp<AffineApplyOp>(); }))
    return;
 
  composeAffineMapAndOperands(&map, &operands, composeAffineMin);
  set = IntegerSet::get(map.getNumDims(), map.getNumSymbols(), map.getResults(),
                        set.getEqFlags());
}
 
/// Canonicalize an affine if op's conditional (integer set + operands).
LogicalResult AffineIfOp::fold(FoldAdaptor, SmallVectorImpl<OpFoldResult> &) {
  auto set = getIntegerSet();
  SmallVector<Value, 4> operands(getOperands());
  composeSetAndOperands(set, operands);
  canonicalizeSetAndOperands(&set, &operands);
 
  // Check if the canonicalization or composition led to any change.
  if (getIntegerSet() == set && llvm::equal(operands, getOperands()))
    return failure();
 
  setConditional(set, operands);
  return success();
}
 
void AffineIfOp::getCanonicalizationPatterns(RewritePatternSet &results,
                                             MLIRContext *context) {
  results.add<SimplifyDeadElse, AlwaysTrueOrFalseIf>(context);
}
 
/// Adds the optional `alignment` attribute to `result`, if one is given.
static void addAlignmentAttr(OpBuilder &builder, OperationState &result,
                             StringAttr attrName, llvm::MaybeAlign alignment) {
  if (alignment)
    result.addAttribute(attrName,
                        builder.getI64IntegerAttr(alignment->value()));
}
 
//===----------------------------------------------------------------------===//
// AffineLoadOp
//===----------------------------------------------------------------------===//
 
void AffineLoadOp::build(OpBuilder &builder, OperationState &result,
                         AffineMap map, ValueRange operands,
                         llvm::MaybeAlign alignment) {
  assert(operands.size() == 1 + map.getNumInputs() && "inconsistent operands");
  result.addOperands(operands);
  if (map)
    result.addAttribute(getMapAttrStrName(), AffineMapAttr::get(map));
  addAlignmentAttr(builder, result, getAlignmentAttrName(result.name),
                   alignment);
  auto memrefType = llvm::cast<MemRefType>(operands[0].getType());
  result.types.push_back(memrefType.getElementType());
}
 
void AffineLoadOp::build(OpBuilder &builder, OperationState &result,
                         Value memref, AffineMap map, ValueRange mapOperands,
                         llvm::MaybeAlign alignment) {
  assert(map.getNumInputs() == mapOperands.size() && "inconsistent index info");
  result.addOperands(memref);
  result.addOperands(mapOperands);
  auto memrefType = llvm::cast<MemRefType>(memref.getType());
  result.addAttribute(getMapAttrStrName(), AffineMapAttr::get(map));
  addAlignmentAttr(builder, result, getAlignmentAttrName(result.name),
                   alignment);
  result.types.push_back(memrefType.getElementType());
}
 
void AffineLoadOp::build(OpBuilder &builder, OperationState &result,
                         Value memref, ValueRange indices,
                         llvm::MaybeAlign alignment) {
  auto memrefType = llvm::cast<MemRefType>(memref.getType());
  int64_t rank = memrefType.getRank();
  // Create identity map for memrefs with at least one dimension or () -> ()
  // for zero-dimensional memrefs.
  auto map =
      rank ? builder.getMultiDimIdentityMap(rank) : builder.getEmptyAffineMap();
  build(builder, result, memref, map, indices, alignment);
}
 
ParseResult AffineLoadOp::parse(OpAsmParser &parser, OperationState &result) {
  auto &builder = parser.getBuilder();
  auto indexTy = builder.getIndexType();
 
  MemRefType type;
  OpAsmParser::UnresolvedOperand memrefInfo;
  AffineMapAttr mapAttr;
  SmallVector<OpAsmParser::UnresolvedOperand, 1> mapOperands;
  return failure(
      parser.parseOperand(memrefInfo) ||
      parser.parseAffineMapOfSSAIds(mapOperands, mapAttr,
                                    AffineLoadOp::getMapAttrStrName(),
                                    result.attributes) ||
      parser.parseOptionalAttrDict(result.attributes) ||
      parser.parseColonType(type) ||
      parser.resolveOperand(memrefInfo, type, result.operands) ||
      parser.resolveOperands(mapOperands, indexTy, result.operands) ||
      parser.addTypeToList(type.getElementType(), result.types));
}
 
void AffineLoadOp::print(OpAsmPrinter &p) {
  p << " " << getMemRef() << '[';
  if (AffineMapAttr mapAttr = getMapAttr())
    p.printAffineMapOfSSAIds(mapAttr, getMapOperands());
  p << ']';
  SmallVector<NamedAttribute> attrs((*this)->getDiscardableAttrs());
  if (IntegerAttr alignment = getAlignmentAttr())
    attrs.emplace_back(getAlignmentAttrName(), alignment);
  llvm::sort(attrs);
  p.printOptionalAttrDict(attrs);
  p << " : " << getMemRefType();
}
 
/// Verify common indexing invariants of affine.load, affine.store,
/// affine.vector_load and affine.vector_store.
template <typename AffineMemOpTy>
static LogicalResult
verifyMemoryOpIndexing(AffineMemOpTy op, AffineMapAttr mapAttr,
                       Operation::operand_range mapOperands,
                       MemRefType memrefType, unsigned numIndexOperands) {
  AffineMap map = mapAttr.getValue();
  if (map.getNumResults() != memrefType.getRank())
    return op->emitOpError("affine map num results must equal memref rank");
  if (map.getNumInputs() != numIndexOperands)
    return op->emitOpError("expects as many subscripts as affine map inputs");
 
  for (auto idx : mapOperands) {
    if (!idx.getType().isIndex())
      return op->emitOpError("index to load must have 'index' type");
  }
  if (failed(verifyDimAndSymbolIdentifiers(op, mapOperands, map.getNumDims())))
    return failure();
 
  return success();
}
 
LogicalResult AffineLoadOp::verify() {
  auto memrefType = getMemRefType();
  if (getType() != memrefType.getElementType())
    return emitOpError("result type must match element type of memref");
 
  if (failed(verifyMemoryOpIndexing(*this, getMapAttr(), getMapOperands(),
                                    memrefType,
                                    /*numIndexOperands=*/getNumOperands() - 1)))
    return failure();
 
  return success();
}
 
void AffineLoadOp::getCanonicalizationPatterns(RewritePatternSet &results,
                                               MLIRContext *context) {
  results.add<SimplifyAffineOp<AffineLoadOp>>(context);
}
 
OpFoldResult AffineLoadOp::fold(FoldAdaptor adaptor) {
  /// load(memrefcast) -> load
  if (succeeded(memref::foldMemRefCast(*this)))
    return getResult();
 
  // Fold load from a global constant memref.
  auto getGlobalOp = getMemref().getDefiningOp<memref::GetGlobalOp>();
  if (!getGlobalOp)
    return {};
  // Get to the memref.global defining the symbol.
  auto global = SymbolTable::lookupNearestSymbolFrom<memref::GlobalOp>(
      getGlobalOp, getGlobalOp.getNameAttr());
  if (!global)
    return {};
 
  // Check if the global memref is a constant.
  auto cstAttr =
      dyn_cast_or_null<DenseElementsAttr>(global.getConstantInitValue());
  if (!cstAttr)
    return {};
  // If it's a splat constant, we can fold irrespective of indices.
  if (auto splatAttr = dyn_cast<SplatElementsAttr>(cstAttr))
    return splatAttr.getSplatValue<Attribute>();
  // Otherwise, we can fold only if we know the indices.
  if (!getAffineMap().isConstant())
    return {};
  auto indices =
      llvm::map_to_vector<4>(getAffineMap().getConstantResults(),
                             [](int64_t v) -> uint64_t { return v; });
  ElementsAttr elementsAttr = cstAttr;
  if (!elementsAttr.isValidIndex(indices))
    return {};
  return elementsAttr.getValues<Attribute>()[indices];
}
 
//===----------------------------------------------------------------------===//
// AffineStoreOp
//===----------------------------------------------------------------------===//
 
void AffineStoreOp::build(OpBuilder &builder, OperationState &result,
                          Value valueToStore, Value memref, AffineMap map,
                          ValueRange mapOperands, llvm::MaybeAlign alignment) {
  assert(map.getNumInputs() == mapOperands.size() && "inconsistent index info");
  result.addOperands(valueToStore);
  result.addOperands(memref);
  result.addOperands(mapOperands);
  result.getOrAddProperties<Properties>().map = AffineMapAttr::get(map);
  addAlignmentAttr(builder, result, getAlignmentAttrName(result.name),
                   alignment);
}
 
// Use identity map.
void AffineStoreOp::build(OpBuilder &builder, OperationState &result,
                          Value valueToStore, Value memref, ValueRange indices,
                          llvm::MaybeAlign alignment) {
  auto memrefType = llvm::cast<MemRefType>(memref.getType());
  int64_t rank = memrefType.getRank();
  // Create identity map for memrefs with at least one dimension or () -> ()
  // for zero-dimensional memrefs.
  auto map =
      rank ? builder.getMultiDimIdentityMap(rank) : builder.getEmptyAffineMap();
  build(builder, result, valueToStore, memref, map, indices, alignment);
}
 
ParseResult AffineStoreOp::parse(OpAsmParser &parser, OperationState &result) {
  auto indexTy = parser.getBuilder().getIndexType();
 
  MemRefType type;
  OpAsmParser::UnresolvedOperand storeValueInfo;
  OpAsmParser::UnresolvedOperand memrefInfo;
  AffineMapAttr mapAttr;
  SmallVector<OpAsmParser::UnresolvedOperand, 1> mapOperands;
  return failure(parser.parseOperand(storeValueInfo) || parser.parseComma() ||
                 parser.parseOperand(memrefInfo) ||
                 parser.parseAffineMapOfSSAIds(
                     mapOperands, mapAttr, AffineStoreOp::getMapAttrStrName(),
                     result.attributes) ||
                 parser.parseOptionalAttrDict(result.attributes) ||
                 parser.parseColonType(type) ||
                 parser.resolveOperand(storeValueInfo, type.getElementType(),
                                       result.operands) ||
                 parser.resolveOperand(memrefInfo, type, result.operands) ||
                 parser.resolveOperands(mapOperands, indexTy, result.operands));
}
 
void AffineStoreOp::print(OpAsmPrinter &p) {
  p << " " << getValueToStore();
  p << ", " << getMemRef() << '[';
  if (AffineMapAttr mapAttr = getMapAttr())
    p.printAffineMapOfSSAIds(mapAttr, getMapOperands());
  p << ']';
  SmallVector<NamedAttribute> attrs((*this)->getDiscardableAttrs());
  if (IntegerAttr alignment = getAlignmentAttr())
    attrs.emplace_back(getAlignmentAttrName(), alignment);
  llvm::sort(attrs);
  p.printOptionalAttrDict(attrs);
  p << " : " << getMemRefType();
}
 
LogicalResult AffineStoreOp::verify() {
  // The value to store must have the same type as memref element type.
  auto memrefType = getMemRefType();
  if (getValueToStore().getType() != memrefType.getElementType())
    return emitOpError(
        "value to store must have the same type as memref element type");
 
  if (failed(verifyMemoryOpIndexing(*this, getMapAttr(), getMapOperands(),
                                    memrefType,
                                    /*numIndexOperands=*/getNumOperands() - 2)))
    return failure();
 
  return success();
}
 
void AffineStoreOp::getCanonicalizationPatterns(RewritePatternSet &results,
                                                MLIRContext *context) {
  results.add<SimplifyAffineOp<AffineStoreOp>>(context);
}
 
LogicalResult AffineStoreOp::fold(FoldAdaptor adaptor,
                                  SmallVectorImpl<OpFoldResult> &results) {
  /// store(memrefcast) -> store
  return memref::foldMemRefCast(*this, getValueToStore());
}
 
//===----------------------------------------------------------------------===//
// AffineMinMaxOpBase
//===----------------------------------------------------------------------===//
 
template <typename T>
static LogicalResult verifyAffineMinMaxOp(T op) {
  // Verify that operand count matches affine map dimension and symbol count.
  if (op.getNumOperands() !=
      op.getMap().getNumDims() + op.getMap().getNumSymbols())
    return op.emitOpError(
        "operand count and affine map dimension and symbol count must match");
 
  if (op.getMap().getNumResults() == 0)
    return op.emitOpError("affine map expect at least one result");
  return success();
}
 
template <typename T>
static void printAffineMinMaxOp(OpAsmPrinter &p, T op) {
  p << ' ' << op.getMapAttr();
  auto operands = op.getOperands();
  unsigned numDims = op.getMap().getNumDims();
  p << '(' << operands.take_front(numDims) << ')';
 
  if (operands.size() != numDims)
    p << '[' << operands.drop_front(numDims) << ']';
  p.printOptionalAttrDict(op->getDiscardableAttrDictionary().getValue());
}
 
template <typename T>
static ParseResult parseAffineMinMaxOp(OpAsmParser &parser,
                                       OperationState &result) {
  auto &builder = parser.getBuilder();
  auto indexType = builder.getIndexType();
  SmallVector<OpAsmParser::UnresolvedOperand, 8> dimInfos;
  SmallVector<OpAsmParser::UnresolvedOperand, 8> symInfos;
  AffineMapAttr mapAttr;
  return failure(
      parser.parseAttribute(mapAttr, T::getMapAttrStrName(),
                            result.attributes) ||
      parser.parseOperandList(dimInfos, OpAsmParser::Delimiter::Paren) ||
      parser.parseOperandList(symInfos,
                              OpAsmParser::Delimiter::OptionalSquare) ||
      parser.parseOptionalAttrDict(result.attributes) ||
      parser.resolveOperands(dimInfos, indexType, result.operands) ||
      parser.resolveOperands(symInfos, indexType, result.operands) ||
      parser.addTypeToList(indexType, result.types));
}
 
/// Fold an affine min or max operation with the given operands. The operand
/// list may contain nulls, which are interpreted as the operand not being a
/// constant.
template <typename T>
static OpFoldResult foldMinMaxOp(T op, ArrayRef<Attribute> operands) {
  static_assert(llvm::is_one_of<T, AffineMinOp, AffineMaxOp>::value,
                "expected affine min or max op");
 
  // Fold the affine map.
  // TODO: Fold more cases:
  // min(some_affine, some_affine + constant, ...), etc.
  SmallVector<int64_t, 2> results;
  auto foldedMap = op.getMap().partialConstantFold(operands, &results);
 
  if (foldedMap.getNumSymbols() == 1 && foldedMap.isSymbolIdentity())
    return op.getOperand(0);
 
  // If some of the map results are not constant, try changing the map in-place.
  if (results.empty()) {
    // If the map is the same, report that folding did not happen.
    if (foldedMap == op.getMap())
      return {};
    op.setMapAttr(AffineMapAttr::get(foldedMap));
    return op.getResult();
  }
 
  // Otherwise, completely fold the op into a constant.
  auto resultIt = std::is_same<T, AffineMinOp>::value
                      ? llvm::min_element(results)
                      : llvm::max_element(results);
  if (resultIt == results.end())
    return {};
  return IntegerAttr::get(IndexType::get(op.getContext()), *resultIt);
}
 
/// Remove duplicated expressions in affine min/max ops.
template <typename T>
struct DeduplicateAffineMinMaxExpressions : public OpRewritePattern<T> {
  using OpRewritePattern<T>::OpRewritePattern;
 
  LogicalResult matchAndRewrite(T affineOp,
                                PatternRewriter &rewriter) const override {
    AffineMap oldMap = affineOp.getAffineMap();
 
    SmallVector<AffineExpr, 4> newExprs;
    for (AffineExpr expr : oldMap.getResults()) {
      // This is a linear scan over newExprs, but it should be fine given that
      // we typically just have a few expressions per op.
      if (!llvm::is_contained(newExprs, expr))
        newExprs.push_back(expr);
    }
 
    if (newExprs.size() == oldMap.getNumResults())
      return failure();
 
    auto newMap = AffineMap::get(oldMap.getNumDims(), oldMap.getNumSymbols(),
                                 newExprs, rewriter.getContext());
    rewriter.replaceOpWithNewOp<T>(affineOp, newMap, affineOp.getMapOperands());
 
    return success();
  }
};
 
/// Merge an affine min/max op to its consumers if its consumer is also an
/// affine min/max op.
///
/// This pattern requires the producer affine min/max op is bound to a
/// dimension/symbol that is used as a standalone expression in the consumer
/// affine op's map.
///
/// For example, a pattern like the following:
///
///   %0 = affine.min affine_map<()[s0] -> (s0 + 16, s0 * 8)> ()[%sym1]
///   %1 = affine.min affine_map<(d0)[s0] -> (s0 + 4, d0)> (%0)[%sym2]
///
/// Can be turned into:
///
///   %1 = affine.min affine_map<
///          ()[s0, s1] -> (s0 + 4, s1 + 16, s1 * 8)> ()[%sym2, %sym1]
template <typename T>
struct MergeAffineMinMaxOp : public OpRewritePattern<T> {
  using OpRewritePattern<T>::OpRewritePattern;
 
  LogicalResult matchAndRewrite(T affineOp,
                                PatternRewriter &rewriter) const override {
    AffineMap oldMap = affineOp.getAffineMap();
    ValueRange dimOperands =
        affineOp.getMapOperands().take_front(oldMap.getNumDims());
    ValueRange symOperands =
        affineOp.getMapOperands().take_back(oldMap.getNumSymbols());
 
    auto newDimOperands = llvm::to_vector<8>(dimOperands);
    auto newSymOperands = llvm::to_vector<8>(symOperands);
    SmallVector<AffineExpr, 4> newExprs;
    SmallVector<T, 4> producerOps;
 
    // Go over each expression to see whether it's a single dimension/symbol
    // with the corresponding operand which is the result of another affine
    // min/max op. If So it can be merged into this affine op.
    for (AffineExpr expr : oldMap.getResults()) {
      if (auto symExpr = dyn_cast<AffineSymbolExpr>(expr)) {
        Value symValue = symOperands[symExpr.getPosition()];
        if (auto producerOp = symValue.getDefiningOp<T>()) {
          producerOps.push_back(producerOp);
          continue;
        }
      } else if (auto dimExpr = dyn_cast<AffineDimExpr>(expr)) {
        Value dimValue = dimOperands[dimExpr.getPosition()];
        if (auto producerOp = dimValue.getDefiningOp<T>()) {
          producerOps.push_back(producerOp);
          continue;
        }
      }
      // For the above cases we will remove the expression by merging the
      // producer affine min/max's affine expressions. Otherwise we need to
      // keep the existing expression.
      newExprs.push_back(expr);
    }
 
    if (producerOps.empty())
      return failure();
 
    unsigned numUsedDims = oldMap.getNumDims();
    unsigned numUsedSyms = oldMap.getNumSymbols();
 
    // Now go over all producer affine ops and merge their expressions.
    for (T producerOp : producerOps) {
      AffineMap producerMap = producerOp.getAffineMap();
      unsigned numProducerDims = producerMap.getNumDims();
      unsigned numProducerSyms = producerMap.getNumSymbols();
 
      // Collect all dimension/symbol values.
      ValueRange dimValues =
          producerOp.getMapOperands().take_front(numProducerDims);
      ValueRange symValues =
          producerOp.getMapOperands().take_back(numProducerSyms);
      newDimOperands.append(dimValues.begin(), dimValues.end());
      newSymOperands.append(symValues.begin(), symValues.end());
 
      // For expressions we need to shift to avoid overlap.
      for (AffineExpr expr : producerMap.getResults()) {
        newExprs.push_back(expr.shiftDims(numProducerDims, numUsedDims)
                               .shiftSymbols(numProducerSyms, numUsedSyms));
      }
 
      numUsedDims += numProducerDims;
      numUsedSyms += numProducerSyms;
    }
 
    auto newMap = AffineMap::get(numUsedDims, numUsedSyms, newExprs,
                                 rewriter.getContext());
    auto newOperands =
        llvm::to_vector<8>(llvm::concat<Value>(newDimOperands, newSymOperands));
    rewriter.replaceOpWithNewOp<T>(affineOp, newMap, newOperands);
 
    return success();
  }
};
 
/// Canonicalize the result expression order of an affine map and return success
/// if the order changed.
///
/// The function flattens the map's affine expressions to coefficient arrays and
/// sorts them in lexicographic order. A coefficient array contains a multiplier
/// for every dimension/symbol and a constant term. The canonicalization fails
/// if a result expression is not pure or if the flattening requires local
/// variables that, unlike dimensions and symbols, have no global order.
static LogicalResult canonicalizeMapExprAndTermOrder(AffineMap &map) {
  SmallVector<SmallVector<int64_t>> flattenedExprs;
  for (const AffineExpr &resultExpr : map.getResults()) {
    // Fail if the expression is not pure.
    if (!resultExpr.isPureAffine())
      return failure();
 
    SimpleAffineExprFlattener flattener(map.getNumDims(), map.getNumSymbols());
    auto flattenResult = flattener.walkPostOrder(resultExpr);
    if (failed(flattenResult))
      return failure();
 
    // Fail if the flattened expression has local variables.
    if (flattener.operandExprStack.back().size() !=
        map.getNumDims() + map.getNumSymbols() + 1)
      return failure();
 
    flattenedExprs.emplace_back(flattener.operandExprStack.back().begin(),
                                flattener.operandExprStack.back().end());
  }
 
  // Fail if sorting is not necessary.
  if (llvm::is_sorted(flattenedExprs))
    return failure();
 
  // Reorder the result expressions according to their flattened form.
  SmallVector<unsigned> resultPermutation =
      llvm::to_vector(llvm::seq<unsigned>(0, map.getNumResults()));
  llvm::sort(resultPermutation, [&](unsigned lhs, unsigned rhs) {
    return flattenedExprs[lhs] < flattenedExprs[rhs];
  });
  SmallVector<AffineExpr> newExprs;
  for (unsigned idx : resultPermutation)
    newExprs.push_back(map.getResult(idx));
 
  map = AffineMap::get(map.getNumDims(), map.getNumSymbols(), newExprs,
                       map.getContext());
  return success();
}
 
/// Canonicalize the affine map result expression order of an affine min/max
/// operation.
///
/// The pattern calls `canonicalizeMapExprAndTermOrder` to order the result
/// expressions and replaces the operation if the order changed.
///
/// For example, the following operation:
///
///   %0 = affine.min affine_map<(d0, d1) -> (d0 + d1, d1 + 16, 32)> (%i0, %i1)
///
/// Turns into:
///
///   %0 = affine.min affine_map<(d0, d1) -> (32, d1 + 16, d0 + d1)> (%i0, %i1)
template <typename T>
struct CanonicalizeAffineMinMaxOpExprAndTermOrder : public OpRewritePattern<T> {
  using OpRewritePattern<T>::OpRewritePattern;
 
  LogicalResult matchAndRewrite(T affineOp,
                                PatternRewriter &rewriter) const override {
    AffineMap map = affineOp.getAffineMap();
    if (failed(canonicalizeMapExprAndTermOrder(map)))
      return failure();
    rewriter.replaceOpWithNewOp<T>(affineOp, map, affineOp.getMapOperands());
    return success();
  }
};
 
template <typename T>
struct CanonicalizeSingleResultAffineMinMaxOp : public OpRewritePattern<T> {
  using OpRewritePattern<T>::OpRewritePattern;
 
  LogicalResult matchAndRewrite(T affineOp,
                                PatternRewriter &rewriter) const override {
    if (affineOp.getMap().getNumResults() != 1)
      return failure();
    rewriter.replaceOpWithNewOp<AffineApplyOp>(affineOp, affineOp.getMap(),
                                               affineOp.getOperands());
    return success();
  }
};
 
//===----------------------------------------------------------------------===//
// AffineMinOp
//===----------------------------------------------------------------------===//
//
//   %0 = affine.min (d0) -> (1000, d0 + 512) (%i0)
//
 
OpFoldResult AffineMinOp::fold(FoldAdaptor adaptor) {
  return foldMinMaxOp(*this, adaptor.getOperands());
}
 
void AffineMinOp::getCanonicalizationPatterns(RewritePatternSet &patterns,
                                              MLIRContext *context) {
  patterns.add<CanonicalizeSingleResultAffineMinMaxOp<AffineMinOp>,
               DeduplicateAffineMinMaxExpressions<AffineMinOp>,
               MergeAffineMinMaxOp<AffineMinOp>, SimplifyAffineOp<AffineMinOp>,
               CanonicalizeAffineMinMaxOpExprAndTermOrder<AffineMinOp>>(
      context);
}
 
LogicalResult AffineMinOp::verify() { return verifyAffineMinMaxOp(*this); }
 
ParseResult AffineMinOp::parse(OpAsmParser &parser, OperationState &result) {
  return parseAffineMinMaxOp<AffineMinOp>(parser, result);
}
 
void AffineMinOp::print(OpAsmPrinter &p) { printAffineMinMaxOp(p, *this); }
 
//===----------------------------------------------------------------------===//
// AffineMaxOp
//===----------------------------------------------------------------------===//
//
//   %0 = affine.max (d0) -> (1000, d0 + 512) (%i0)
//
 
OpFoldResult AffineMaxOp::fold(FoldAdaptor adaptor) {
  return foldMinMaxOp(*this, adaptor.getOperands());
}
 
void AffineMaxOp::getCanonicalizationPatterns(RewritePatternSet &patterns,
                                              MLIRContext *context) {
  patterns.add<CanonicalizeSingleResultAffineMinMaxOp<AffineMaxOp>,
               DeduplicateAffineMinMaxExpressions<AffineMaxOp>,
               MergeAffineMinMaxOp<AffineMaxOp>, SimplifyAffineOp<AffineMaxOp>,
               CanonicalizeAffineMinMaxOpExprAndTermOrder<AffineMaxOp>>(
      context);
}
 
LogicalResult AffineMaxOp::verify() { return verifyAffineMinMaxOp(*this); }
 
ParseResult AffineMaxOp::parse(OpAsmParser &parser, OperationState &result) {
  return parseAffineMinMaxOp<AffineMaxOp>(parser, result);
}
 
void AffineMaxOp::print(OpAsmPrinter &p) { printAffineMinMaxOp(p, *this); }
 
//===----------------------------------------------------------------------===//
// AffinePrefetchOp
//===----------------------------------------------------------------------===//
 
//
// affine.prefetch %0[%i, %j + 5], read, locality<3>, data : memref<400x400xi32>
//
ParseResult AffinePrefetchOp::parse(OpAsmParser &parser,
                                    OperationState &result) {
  auto &builder = parser.getBuilder();
  auto indexTy = builder.getIndexType();
 
  MemRefType type;
  OpAsmParser::UnresolvedOperand memrefInfo;
  IntegerAttr hintInfo;
  auto i32Type = parser.getBuilder().getIntegerType(32);
  StringRef readOrWrite, cacheType;
 
  AffineMapAttr mapAttr;
  SmallVector<OpAsmParser::UnresolvedOperand, 1> mapOperands;
  if (parser.parseOperand(memrefInfo) ||
      parser.parseAffineMapOfSSAIds(mapOperands, mapAttr,
                                    AffinePrefetchOp::getMapAttrStrName(),
                                    result.attributes) ||
      parser.parseComma() || parser.parseKeyword(&readOrWrite) ||
      parser.parseComma() || parser.parseKeyword("locality") ||
      parser.parseLess() ||
      parser.parseAttribute(hintInfo, i32Type,
                            AffinePrefetchOp::getLocalityHintAttrStrName(),
                            result.attributes) ||
      parser.parseGreater() || parser.parseComma() ||
      parser.parseKeyword(&cacheType) ||
      parser.parseOptionalAttrDict(result.attributes) ||
      parser.parseColonType(type) ||
      parser.resolveOperand(memrefInfo, type, result.operands) ||
      parser.resolveOperands(mapOperands, indexTy, result.operands))
    return failure();
 
  if (readOrWrite != "read" && readOrWrite != "write")
    return parser.emitError(parser.getNameLoc(),
                            "rw specifier has to be 'read' or 'write'");
  result.addAttribute(AffinePrefetchOp::getIsWriteAttrStrName(),
                      parser.getBuilder().getBoolAttr(readOrWrite == "write"));
 
  if (cacheType != "data" && cacheType != "instr")
    return parser.emitError(parser.getNameLoc(),
                            "cache type has to be 'data' or 'instr'");
 
  result.addAttribute(AffinePrefetchOp::getIsDataCacheAttrStrName(),
                      parser.getBuilder().getBoolAttr(cacheType == "data"));
 
  return success();
}
 
void AffinePrefetchOp::print(OpAsmPrinter &p) {
  p << " " << getMemref() << '[';
  AffineMapAttr mapAttr = getMapAttr();
  if (mapAttr)
    p.printAffineMapOfSSAIds(mapAttr, getMapOperands());
  p << ']' << ", " << (getIsWrite() ? "write" : "read") << ", " << "locality<"
    << getLocalityHint() << ">, " << (getIsDataCache() ? "data" : "instr");
  p.printOptionalAttrDict((*this)->getDiscardableAttrDictionary().getValue());
  p << " : " << getMemRefType();
}
 
LogicalResult AffinePrefetchOp::verify() {
  auto mapAttr = getMapAttr();
  if (mapAttr) {
    AffineMap map = mapAttr.getValue();
    if (map.getNumResults() != getMemRefType().getRank())
      return emitOpError("affine.prefetch affine map num results must equal"
                         " memref rank");
    if (map.getNumInputs() + 1 != getNumOperands())
      return emitOpError("too few operands");
  } else {
    if (getNumOperands() != 1)
      return emitOpError("too few operands");
  }
 
  Region *scope = getAffineScope(*this);
  for (auto idx : getMapOperands()) {
    if (!isValidAffineIndexOperand(idx, scope))
      return emitOpError(
          "index must be a valid dimension or symbol identifier");
  }
  return success();
}
 
void AffinePrefetchOp::getCanonicalizationPatterns(RewritePatternSet &results,
                                                   MLIRContext *context) {
  // prefetch(memrefcast) -> prefetch
  results.add<SimplifyAffineOp<AffinePrefetchOp>>(context);
}
 
LogicalResult AffinePrefetchOp::fold(FoldAdaptor adaptor,
                                     SmallVectorImpl<OpFoldResult> &results) {
  /// prefetch(memrefcast) -> prefetch
  return memref::foldMemRefCast(*this);
}
 
//===----------------------------------------------------------------------===//
// AffineParallelOp
//===----------------------------------------------------------------------===//
 
void AffineParallelOp::build(OpBuilder &builder, OperationState &result,
                             TypeRange resultTypes,
                             ArrayRef<arith::AtomicRMWKind> reductions,
                             ArrayRef<int64_t> ranges) {
  SmallVector<AffineMap> lbs(ranges.size(), builder.getConstantAffineMap(0));
  auto ubs = llvm::map_to_vector<4>(ranges, [&](int64_t value) {
    return builder.getConstantAffineMap(value);
  });
  SmallVector<int64_t> steps(ranges.size(), 1);
  build(builder, result, resultTypes, reductions, lbs, /*lbArgs=*/{}, ubs,
        /*ubArgs=*/{}, steps);
}
 
void AffineParallelOp::build(OpBuilder &builder, OperationState &result,
                             TypeRange resultTypes,
                             ArrayRef<arith::AtomicRMWKind> reductions,
                             ArrayRef<AffineMap> lbMaps, ValueRange lbArgs,
                             ArrayRef<AffineMap> ubMaps, ValueRange ubArgs,
                             ArrayRef<int64_t> steps) {
  assert(llvm::all_of(lbMaps,
                      [lbMaps](AffineMap m) {
                        return m.getNumDims() == lbMaps[0].getNumDims() &&
                               m.getNumSymbols() == lbMaps[0].getNumSymbols();
                      }) &&
         "expected all lower bounds maps to have the same number of dimensions "
         "and symbols");
  assert(llvm::all_of(ubMaps,
                      [ubMaps](AffineMap m) {
                        return m.getNumDims() == ubMaps[0].getNumDims() &&
                               m.getNumSymbols() == ubMaps[0].getNumSymbols();
                      }) &&
         "expected all upper bounds maps to have the same number of dimensions "
         "and symbols");
  assert((lbMaps.empty() || lbMaps[0].getNumInputs() == lbArgs.size()) &&
         "expected lower bound maps to have as many inputs as lower bound "
         "operands");
  assert((ubMaps.empty() || ubMaps[0].getNumInputs() == ubArgs.size()) &&
         "expected upper bound maps to have as many inputs as upper bound "
         "operands");
 
  OpBuilder::InsertionGuard guard(builder);
  result.addTypes(resultTypes);
 
  // Convert the reductions to integer attributes.
  SmallVector<Attribute, 4> reductionAttrs;
  for (arith::AtomicRMWKind reduction : reductions)
    reductionAttrs.push_back(
        builder.getI64IntegerAttr(static_cast<int64_t>(reduction)));
  result.addAttribute(getReductionsAttrStrName(),
                      builder.getArrayAttr(reductionAttrs));
 
  // Concatenates maps defined in the same input space (same dimensions and
  // symbols), assumes there is at least one map.
  auto concatMapsSameInput = [&builder](ArrayRef<AffineMap> maps,
                                        SmallVectorImpl<int32_t> &groups) {
    if (maps.empty())
      return AffineMap::get(builder.getContext());
    SmallVector<AffineExpr> exprs;
    groups.reserve(groups.size() + maps.size());
    exprs.reserve(maps.size());
    for (AffineMap m : maps) {
      llvm::append_range(exprs, m.getResults());
      groups.push_back(m.getNumResults());
    }
    return AffineMap::get(maps[0].getNumDims(), maps[0].getNumSymbols(), exprs,
                          maps[0].getContext());
  };
 
  // Set up the bounds.
  SmallVector<int32_t> lbGroups, ubGroups;
  AffineMap lbMap = concatMapsSameInput(lbMaps, lbGroups);
  AffineMap ubMap = concatMapsSameInput(ubMaps, ubGroups);
  result.addAttribute(getLowerBoundsMapAttrStrName(),
                      AffineMapAttr::get(lbMap));
  result.addAttribute(getLowerBoundsGroupsAttrStrName(),
                      builder.getI32TensorAttr(lbGroups));
  result.addAttribute(getUpperBoundsMapAttrStrName(),
                      AffineMapAttr::get(ubMap));
  result.addAttribute(getUpperBoundsGroupsAttrStrName(),
                      builder.getI32TensorAttr(ubGroups));
  result.addAttribute(getStepsAttrStrName(), builder.getI64ArrayAttr(steps));
  result.addOperands(lbArgs);
  result.addOperands(ubArgs);
 
  // Create a region and a block for the body.
  auto *bodyRegion = result.addRegion();
  Block *body = builder.createBlock(bodyRegion);
 
  // Add all the block arguments.
  for (unsigned i = 0, e = steps.size(); i < e; ++i)
    body->addArgument(IndexType::get(builder.getContext()), result.location);
  if (resultTypes.empty())
    ensureTerminator(*bodyRegion, builder, result.location);
}
 
SmallVector<Region *> AffineParallelOp::getLoopRegions() {
  return {&getRegion()};
}
 
unsigned AffineParallelOp::getNumDims() { return getSteps().size(); }
 
AffineParallelOp::operand_range AffineParallelOp::getLowerBoundsOperands() {
  return getOperands().take_front(getLowerBoundsMap().getNumInputs());
}
 
AffineParallelOp::operand_range AffineParallelOp::getUpperBoundsOperands() {
  return getOperands().drop_front(getLowerBoundsMap().getNumInputs());
}
 
AffineMap AffineParallelOp::getLowerBoundMap(unsigned pos) {
  auto values = getLowerBoundsGroups().getValues<int32_t>();
  unsigned start = 0;
  for (unsigned i = 0; i < pos; ++i)
    start += values[i];
  return getLowerBoundsMap().getSliceMap(start, values[pos]);
}
 
AffineMap AffineParallelOp::getUpperBoundMap(unsigned pos) {
  auto values = getUpperBoundsGroups().getValues<int32_t>();
  unsigned start = 0;
  for (unsigned i = 0; i < pos; ++i)
    start += values[i];
  return getUpperBoundsMap().getSliceMap(start, values[pos]);
}
 
AffineValueMap AffineParallelOp::getLowerBoundsValueMap() {
  return AffineValueMap(getLowerBoundsMap(), getLowerBoundsOperands());
}
 
AffineValueMap AffineParallelOp::getUpperBoundsValueMap() {
  return AffineValueMap(getUpperBoundsMap(), getUpperBoundsOperands());
}
 
std::optional<SmallVector<int64_t, 8>> AffineParallelOp::getConstantRanges() {
  if (hasMinMaxBounds())
    return std::nullopt;
 
  // Try to convert all the ranges to constant expressions.
  SmallVector<int64_t, 8> out;
  AffineValueMap rangesValueMap;
  AffineValueMap::difference(getUpperBoundsValueMap(), getLowerBoundsValueMap(),
                             &rangesValueMap);
  out.reserve(rangesValueMap.getNumResults());
  for (unsigned i = 0, e = rangesValueMap.getNumResults(); i < e; ++i) {
    auto expr = rangesValueMap.getResult(i);
    auto cst = dyn_cast<AffineConstantExpr>(expr);
    if (!cst)
      return std::nullopt;
    out.push_back(cst.getValue());
  }
  return out;
}
 
Block *AffineParallelOp::getBody() { return &getRegion().front(); }
 
OpBuilder AffineParallelOp::getBodyBuilder() {
  return OpBuilder(getBody(), std::prev(getBody()->end()));
}
 
void AffineParallelOp::setLowerBounds(ValueRange lbOperands, AffineMap map) {
  assert(lbOperands.size() == map.getNumInputs() &&
         "operands to map must match number of inputs");
 
  auto ubOperands = getUpperBoundsOperands();
 
  SmallVector<Value, 4> newOperands(lbOperands);
  newOperands.append(ubOperands.begin(), ubOperands.end());
  (*this)->setOperands(newOperands);
 
  setLowerBoundsMapAttr(AffineMapAttr::get(map));
}
 
void AffineParallelOp::setUpperBounds(ValueRange ubOperands, AffineMap map) {
  assert(ubOperands.size() == map.getNumInputs() &&
         "operands to map must match number of inputs");
 
  SmallVector<Value, 4> newOperands(getLowerBoundsOperands());
  newOperands.append(ubOperands.begin(), ubOperands.end());
  (*this)->setOperands(newOperands);
 
  setUpperBoundsMapAttr(AffineMapAttr::get(map));
}
 
void AffineParallelOp::setSteps(ArrayRef<int64_t> newSteps) {
  setStepsAttr(getBodyBuilder().getI64ArrayAttr(newSteps));
}
 
// check whether resultType match op or not in affine.parallel
static bool isResultTypeMatchAtomicRMWKind(Type resultType,
                                           arith::AtomicRMWKind op) {
  switch (op) {
  case arith::AtomicRMWKind::addf:
    return isa<FloatType>(resultType);
  case arith::AtomicRMWKind::addi:
    return isa<IntegerType>(resultType);
  case arith::AtomicRMWKind::assign:
    return true;
  case arith::AtomicRMWKind::mulf:
    return isa<FloatType>(resultType);
  case arith::AtomicRMWKind::muli:
    return isa<IntegerType>(resultType);
  case arith::AtomicRMWKind::maximumf:
  case arith::AtomicRMWKind::maxnumf:
  case arith::AtomicRMWKind::minimumf:
  case arith::AtomicRMWKind::minnumf:
    return isa<FloatType>(resultType);
  case arith::AtomicRMWKind::maxs: {
    auto intType = dyn_cast<IntegerType>(resultType);
    return intType && intType.isSigned();
  }
  case arith::AtomicRMWKind::mins: {
    auto intType = dyn_cast<IntegerType>(resultType);
    return intType && intType.isSigned();
  }
  case arith::AtomicRMWKind::maxu: {
    auto intType = dyn_cast<IntegerType>(resultType);
    return intType && intType.isUnsigned();
  }
  case arith::AtomicRMWKind::minu: {
    auto intType = dyn_cast<IntegerType>(resultType);
    return intType && intType.isUnsigned();
  }
  case arith::AtomicRMWKind::ori:
  case arith::AtomicRMWKind::andi:
  case arith::AtomicRMWKind::xori:
    return isa<IntegerType>(resultType);
  }
  llvm_unreachable("Unhandled atomic rmw kind");
}
 
LogicalResult AffineParallelOp::verify() {
  auto numDims = getNumDims();
  if (getLowerBoundsGroups().getNumElements() != numDims ||
      getUpperBoundsGroups().getNumElements() != numDims ||
      getSteps().size() != numDims || getBody()->getNumArguments() != numDims) {
    return emitOpError() << "the number of region arguments ("
                         << getBody()->getNumArguments()
                         << ") and the number of map groups for lower ("
                         << getLowerBoundsGroups().getNumElements()
                         << ") and upper bound ("
                         << getUpperBoundsGroups().getNumElements()
                         << "), and the number of steps (" << getSteps().size()
                         << ") must all match";
  }
 
  unsigned expectedNumLBResults = 0;
  for (APInt v : getLowerBoundsGroups()) {
    unsigned results = v.getZExtValue();
    if (results == 0)
      return emitOpError()
             << "expected lower bound map to have at least one result";
    expectedNumLBResults += results;
  }
  if (expectedNumLBResults != getLowerBoundsMap().getNumResults())
    return emitOpError() << "expected lower bounds map to have "
                         << expectedNumLBResults << " results";
  unsigned expectedNumUBResults = 0;
  for (APInt v : getUpperBoundsGroups()) {
    unsigned results = v.getZExtValue();
    if (results == 0)
      return emitOpError()
             << "expected upper bound map to have at least one result";
    expectedNumUBResults += results;
  }
  if (expectedNumUBResults != getUpperBoundsMap().getNumResults())
    return emitOpError() << "expected upper bounds map to have "
                         << expectedNumUBResults << " results";
 
  if (getReductions().size() != getNumResults())
    return emitOpError("a reduction must be specified for each output");
 
  // Verify reduction ops are all valid and each result type matches reduction
  // ops
  for (auto it : llvm::enumerate((getReductions()))) {
    Attribute attr = it.value();
    auto intAttr = dyn_cast<IntegerAttr>(attr);
    if (!intAttr || !arith::symbolizeAtomicRMWKind(intAttr.getInt()))
      return emitOpError("invalid reduction attribute");
    auto kind = arith::symbolizeAtomicRMWKind(intAttr.getInt()).value();
    if (!isResultTypeMatchAtomicRMWKind(getResult(it.index()).getType(), kind))
      return emitOpError("result type cannot match reduction attribute");
  }
 
  // Verify that the bound operands are valid dimension/symbols.
  /// Lower bounds.
  if (failed(verifyDimAndSymbolIdentifiers(*this, getLowerBoundsOperands(),
                                           getLowerBoundsMap().getNumDims())))
    return failure();
  /// Upper bounds.
  if (failed(verifyDimAndSymbolIdentifiers(*this, getUpperBoundsOperands(),
                                           getUpperBoundsMap().getNumDims())))
    return failure();
  return success();
}
 
LogicalResult AffineValueMap::canonicalize() {
  SmallVector<Value, 4> newOperands{operands};
  auto newMap = getAffineMap();
  composeAffineMapAndOperands(&newMap, &newOperands);
  if (newMap == getAffineMap() && newOperands == operands)
    return failure();
  reset(newMap, newOperands);
  return success();
}
 
/// Canonicalize the bounds of the given loop.
static LogicalResult canonicalizeLoopBounds(AffineParallelOp op) {
  AffineValueMap lb = op.getLowerBoundsValueMap();
  bool lbCanonicalized = succeeded(lb.canonicalize());
 
  AffineValueMap ub = op.getUpperBoundsValueMap();
  bool ubCanonicalized = succeeded(ub.canonicalize());
 
  // Any canonicalization change always leads to updated map(s).
  if (!lbCanonicalized && !ubCanonicalized)
    return failure();
 
  if (lbCanonicalized)
    op.setLowerBounds(lb.getOperands(), lb.getAffineMap());
  if (ubCanonicalized)
    op.setUpperBounds(ub.getOperands(), ub.getAffineMap());
 
  return success();
}
 
LogicalResult AffineParallelOp::fold(FoldAdaptor adaptor,
                                     SmallVectorImpl<OpFoldResult> &results) {
  return canonicalizeLoopBounds(*this);
}
 
/// Prints a lower(upper) bound of an affine parallel loop with max(min)
/// conditions in it. `mapAttr` is a flat list of affine expressions and `group`
/// identifies which of the those expressions form max/min groups. `operands`
/// are the SSA values of dimensions and symbols and `keyword` is either "min"
/// or "max".
static void printMinMaxBound(OpAsmPrinter &p, AffineMapAttr mapAttr,
                             DenseIntElementsAttr group, ValueRange operands,
                             StringRef keyword) {
  AffineMap map = mapAttr.getValue();
  unsigned numDims = map.getNumDims();
  ValueRange dimOperands = operands.take_front(numDims);
  ValueRange symOperands = operands.drop_front(numDims);
  unsigned start = 0;
  for (llvm::APInt groupSize : group) {
    if (start != 0)
      p << ", ";
 
    unsigned size = groupSize.getZExtValue();
    if (size == 1) {
      p.printAffineExprOfSSAIds(map.getResult(start), dimOperands, symOperands);
      ++start;
    } else {
      p << keyword << '(';
      AffineMap submap = map.getSliceMap(start, size);
      p.printAffineMapOfSSAIds(AffineMapAttr::get(submap), operands);
      p << ')';
      start += size;
    }
  }
}
 
void AffineParallelOp::print(OpAsmPrinter &p) {
  p << " (" << getBody()->getArguments() << ") = (";
  printMinMaxBound(p, getLowerBoundsMapAttr(), getLowerBoundsGroupsAttr(),
                   getLowerBoundsOperands(), "max");
  p << ") to (";
  printMinMaxBound(p, getUpperBoundsMapAttr(), getUpperBoundsGroupsAttr(),
                   getUpperBoundsOperands(), "min");
  p << ')';
  SmallVector<int64_t, 8> steps = getSteps();
  bool elideSteps = llvm::all_of(steps, [](int64_t step) { return step == 1; });
  if (!elideSteps) {
    p << " step (";
    llvm::interleaveComma(steps, p);
    p << ')';
  }
  if (getNumResults()) {
    p << " reduce (";
    llvm::interleaveComma(getReductions(), p, [&](auto &attr) {
      arith::AtomicRMWKind sym = *arith::symbolizeAtomicRMWKind(
          llvm::cast<IntegerAttr>(attr).getInt());
      p << "\"" << arith::stringifyAtomicRMWKind(sym) << "\"";
    });
    p << ") -> (" << getResultTypes() << ")";
  }
 
  p << ' ';
  p.printRegion(getRegion(), /*printEntryBlockArgs=*/false,
                /*printBlockTerminators=*/getNumResults());
  p.printOptionalAttrDict((*this)->getDiscardableAttrDictionary().getValue());
}
 
/// Given a list of lists of parsed operands, populates `uniqueOperands` with
/// unique operands. Also populates `replacements with affine expressions of
/// `kind` that can be used to update affine maps previously accepting a
/// `operands` to accept `uniqueOperands` instead.
static ParseResult deduplicateAndResolveOperands(
    OpAsmParser &parser,
    ArrayRef<SmallVector<OpAsmParser::UnresolvedOperand>> operands,
    SmallVectorImpl<Value> &uniqueOperands,
    SmallVectorImpl<AffineExpr> &replacements, AffineExprKind kind) {
  assert((kind == AffineExprKind::DimId || kind == AffineExprKind::SymbolId) &&
         "expected operands to be dim or symbol expression");
 
  Type indexType = parser.getBuilder().getIndexType();
  for (const auto &list : operands) {
    SmallVector<Value> valueOperands;
    if (parser.resolveOperands(list, indexType, valueOperands))
      return failure();
    for (Value operand : valueOperands) {
      unsigned pos = std::distance(uniqueOperands.begin(),
                                   llvm::find(uniqueOperands, operand));
      if (pos == uniqueOperands.size())
        uniqueOperands.push_back(operand);
      replacements.push_back(
          kind == AffineExprKind::DimId
              ? getAffineDimExpr(pos, parser.getContext())
              : getAffineSymbolExpr(pos, parser.getContext()));
    }
  }
  return success();
}
 
namespace {
enum class MinMaxKind { Min, Max };
} // namespace
 
/// Parses an affine map that can contain a min/max for groups of its results,
/// e.g., max(expr-1, expr-2), expr-3, max(expr-4, expr-5, expr-6). Populates
/// `result` attributes with the map (flat list of expressions) and the grouping
/// (list of integers that specify how many expressions to put into each
/// min/max) attributes. Deduplicates repeated operands.
///
/// parallel-bound       ::= `(` parallel-group-list `)`
/// parallel-group-list  ::= parallel-group (`,` parallel-group-list)?
/// parallel-group       ::= simple-group | min-max-group
/// simple-group         ::= expr-of-ssa-ids
/// min-max-group        ::= ( `min` | `max` ) `(` expr-of-ssa-ids-list `)`
/// expr-of-ssa-ids-list ::= expr-of-ssa-ids (`,` expr-of-ssa-id-list)?
///
/// Examples:
///   (%0, min(%1 + %2, %3), %4, min(%5 floordiv 32, %6))
///   (%0, max(%1 - 2 * %2))
static ParseResult parseAffineMapWithMinMax(OpAsmParser &parser,
                                            OperationState &result,
                                            MinMaxKind kind) {
  // Using `const` not `constexpr` below to workaround a MSVC optimizer bug,
  // see: https://reviews.llvm.org/D134227#3821753
  const llvm::StringLiteral tmpAttrStrName = "__pseudo_bound_map";
 
  StringRef mapName = kind == MinMaxKind::Min
                          ? AffineParallelOp::getUpperBoundsMapAttrStrName()
                          : AffineParallelOp::getLowerBoundsMapAttrStrName();
  StringRef groupsName =
      kind == MinMaxKind::Min
          ? AffineParallelOp::getUpperBoundsGroupsAttrStrName()
          : AffineParallelOp::getLowerBoundsGroupsAttrStrName();
 
  if (failed(parser.parseLParen()))
    return failure();
 
  if (succeeded(parser.parseOptionalRParen())) {
    result.addAttribute(
        mapName, AffineMapAttr::get(parser.getBuilder().getEmptyAffineMap()));
    result.addAttribute(groupsName, parser.getBuilder().getI32TensorAttr({}));
    return success();
  }
 
  SmallVector<AffineExpr> flatExprs;
  SmallVector<SmallVector<OpAsmParser::UnresolvedOperand>> flatDimOperands;
  SmallVector<SmallVector<OpAsmParser::UnresolvedOperand>> flatSymOperands;
  SmallVector<int32_t> numMapsPerGroup;
  SmallVector<OpAsmParser::UnresolvedOperand> mapOperands;
  auto parseOperands = [&]() {
    if (succeeded(parser.parseOptionalKeyword(
            kind == MinMaxKind::Min ? "min" : "max"))) {
      mapOperands.clear();
      AffineMapAttr map;
      if (failed(parser.parseAffineMapOfSSAIds(mapOperands, map, tmpAttrStrName,
                                               result.attributes,
                                               OpAsmParser::Delimiter::Paren)))
        return failure();
      result.attributes.erase(tmpAttrStrName);
      llvm::append_range(flatExprs, map.getValue().getResults());
      auto operandsRef = llvm::ArrayRef(mapOperands);
      auto dimsRef = operandsRef.take_front(map.getValue().getNumDims());
      SmallVector<OpAsmParser::UnresolvedOperand> dims(dimsRef);
      auto symsRef = operandsRef.drop_front(map.getValue().getNumDims());
      SmallVector<OpAsmParser::UnresolvedOperand> syms(symsRef);
      flatDimOperands.append(map.getValue().getNumResults(), dims);
      flatSymOperands.append(map.getValue().getNumResults(), syms);
      numMapsPerGroup.push_back(map.getValue().getNumResults());
    } else {
      if (failed(parser.parseAffineExprOfSSAIds(flatDimOperands.emplace_back(),
                                                flatSymOperands.emplace_back(),
                                                flatExprs.emplace_back())))
        return failure();
      numMapsPerGroup.push_back(1);
    }
    return success();
  };
  if (parser.parseCommaSeparatedList(parseOperands) || parser.parseRParen())
    return failure();
 
  unsigned totalNumDims = 0;
  unsigned totalNumSyms = 0;
  for (unsigned i = 0, e = flatExprs.size(); i < e; ++i) {
    unsigned numDims = flatDimOperands[i].size();
    unsigned numSyms = flatSymOperands[i].size();
    flatExprs[i] = flatExprs[i]
                       .shiftDims(numDims, totalNumDims)
                       .shiftSymbols(numSyms, totalNumSyms);
    totalNumDims += numDims;
    totalNumSyms += numSyms;
  }
 
  // Deduplicate map operands.
  SmallVector<Value> dimOperands, symOperands;
  SmallVector<AffineExpr> dimRplacements, symRepacements;
  if (deduplicateAndResolveOperands(parser, flatDimOperands, dimOperands,
                                    dimRplacements, AffineExprKind::DimId) ||
      deduplicateAndResolveOperands(parser, flatSymOperands, symOperands,
                                    symRepacements, AffineExprKind::SymbolId))
    return failure();
 
  result.operands.append(dimOperands.begin(), dimOperands.end());
  result.operands.append(symOperands.begin(), symOperands.end());
 
  Builder &builder = parser.getBuilder();
  auto flatMap = AffineMap::get(totalNumDims, totalNumSyms, flatExprs,
                                parser.getContext());
  flatMap = flatMap.replaceDimsAndSymbols(
      dimRplacements, symRepacements, dimOperands.size(), symOperands.size());
 
  result.addAttribute(mapName, AffineMapAttr::get(flatMap));
  result.addAttribute(groupsName, builder.getI32TensorAttr(numMapsPerGroup));
  return success();
}
 
//
// operation ::= `affine.parallel` `(` ssa-ids `)` `=` parallel-bound
//               `to` parallel-bound steps? region attr-dict?
// steps     ::= `steps` `(` integer-literals `)`
//
ParseResult AffineParallelOp::parse(OpAsmParser &parser,
                                    OperationState &result) {
  auto &builder = parser.getBuilder();
  auto indexType = builder.getIndexType();
  SmallVector<OpAsmParser::Argument, 4> ivs;
  if (parser.parseArgumentList(ivs, OpAsmParser::Delimiter::Paren) ||
      parser.parseEqual() ||
      parseAffineMapWithMinMax(parser, result, MinMaxKind::Max) ||
      parser.parseKeyword("to") ||
      parseAffineMapWithMinMax(parser, result, MinMaxKind::Min))
    return failure();
 
  AffineMapAttr stepsMapAttr;
  NamedAttrList stepsAttrs;
  SmallVector<OpAsmParser::UnresolvedOperand, 4> stepsMapOperands;
  if (failed(parser.parseOptionalKeyword("step"))) {
    SmallVector<int64_t, 4> steps(ivs.size(), 1);
    result.addAttribute(AffineParallelOp::getStepsAttrStrName(),
                        builder.getI64ArrayAttr(steps));
  } else {
    if (parser.parseAffineMapOfSSAIds(stepsMapOperands, stepsMapAttr,
                                      AffineParallelOp::getStepsAttrStrName(),
                                      stepsAttrs,
                                      OpAsmParser::Delimiter::Paren))
      return failure();
 
    // Convert steps from an AffineMap into an I64ArrayAttr.
    SmallVector<int64_t, 4> steps;
    auto stepsMap = stepsMapAttr.getValue();
    for (const auto &result : stepsMap.getResults()) {
      auto constExpr = dyn_cast<AffineConstantExpr>(result);
      if (!constExpr)
        return parser.emitError(parser.getNameLoc(),
                                "steps must be constant integers");
      steps.push_back(constExpr.getValue());
    }
    result.addAttribute(AffineParallelOp::getStepsAttrStrName(),
                        builder.getI64ArrayAttr(steps));
  }
 
  // Parse optional clause of the form: `reduce ("addf", "maxf")`, where the
  // quoted strings are a member of the enum AtomicRMWKind.
  SmallVector<Attribute, 4> reductions;
  if (succeeded(parser.parseOptionalKeyword("reduce"))) {
    if (parser.parseLParen())
      return failure();
    auto parseAttributes = [&]() -> ParseResult {
      // Parse a single quoted string via the attribute parsing, and then
      // verify it is a member of the enum and convert to it's integer
      // representation.
      StringAttr attrVal;
      NamedAttrList attrStorage;
      auto loc = parser.getCurrentLocation();
      if (parser.parseAttribute(attrVal, builder.getNoneType(), "reduce",
                                attrStorage))
        return failure();
      std::optional<arith::AtomicRMWKind> reduction =
          arith::symbolizeAtomicRMWKind(attrVal.getValue());
      if (!reduction)
        return parser.emitError(loc, "invalid reduction value: ") << attrVal;
      reductions.push_back(
          builder.getI64IntegerAttr(static_cast<int64_t>(reduction.value())));
      // While we keep getting commas, keep parsing.
      return success();
    };
    if (parser.parseCommaSeparatedList(parseAttributes) || parser.parseRParen())
      return failure();
  }
  result.addAttribute(AffineParallelOp::getReductionsAttrStrName(),
                      builder.getArrayAttr(reductions));
 
  // Parse return types of reductions (if any)
  if (parser.parseOptionalArrowTypeList(result.types))
    return failure();
 
  // Now parse the body.
  Region *body = result.addRegion();
  for (auto &iv : ivs)
    iv.type = indexType;
  if (parser.parseRegion(*body, ivs) ||
      parser.parseOptionalAttrDict(result.attributes))
    return failure();
 
  // Add a terminator if none was parsed.
  AffineParallelOp::ensureTerminator(*body, builder, result.location);
  return success();
}
 
//===----------------------------------------------------------------------===//
// AffineYieldOp
//===----------------------------------------------------------------------===//
 
LogicalResult AffineYieldOp::verify() {
  auto *parentOp = (*this)->getParentOp();
  auto results = parentOp->getResults();
  auto operands = getOperands();
 
  if (!isa<AffineParallelOp, AffineIfOp, AffineForOp>(parentOp))
    return emitOpError() << "only terminates affine.if/for/parallel regions";
  if (parentOp->getNumResults() != getNumOperands())
    return emitOpError() << "parent of yield must have same number of "
                            "results as the yield operands";
  for (auto it : llvm::zip(results, operands)) {
    if (std::get<0>(it).getType() != std::get<1>(it).getType())
      return emitOpError() << "types mismatch between yield op and its parent";
  }
 
  return success();
}
 
//===----------------------------------------------------------------------===//
// AffineVectorLoadOp
//===----------------------------------------------------------------------===//
 
void AffineVectorLoadOp::build(OpBuilder &builder, OperationState &result,
                               VectorType resultType, AffineMap map,
                               ValueRange operands,
                               llvm::MaybeAlign alignment) {
  assert(operands.size() == 1 + map.getNumInputs() && "inconsistent operands");
  result.addOperands(operands);
  if (map)
    result.addAttribute(getMapAttrStrName(), AffineMapAttr::get(map));
  addAlignmentAttr(builder, result, getAlignmentAttrName(result.name),
                   alignment);
  result.types.push_back(resultType);
}
 
void AffineVectorLoadOp::build(OpBuilder &builder, OperationState &result,
                               VectorType resultType, Value memref,
                               AffineMap map, ValueRange mapOperands,
                               llvm::MaybeAlign alignment) {
  assert(map.getNumInputs() == mapOperands.size() && "inconsistent index info");
  result.addOperands(memref);
  result.addOperands(mapOperands);
  result.addAttribute(getMapAttrStrName(), AffineMapAttr::get(map));
  addAlignmentAttr(builder, result, getAlignmentAttrName(result.name),
                   alignment);
  result.types.push_back(resultType);
}
 
void AffineVectorLoadOp::build(OpBuilder &builder, OperationState &result,
                               VectorType resultType, Value memref,
                               ValueRange indices, llvm::MaybeAlign alignment) {
  auto memrefType = llvm::cast<MemRefType>(memref.getType());
  int64_t rank = memrefType.getRank();
  // Create identity map for memrefs with at least one dimension or () -> ()
  // for zero-dimensional memrefs.
  auto map =
      rank ? builder.getMultiDimIdentityMap(rank) : builder.getEmptyAffineMap();
  build(builder, result, resultType, memref, map, indices, alignment);
}
 
void AffineVectorLoadOp::getCanonicalizationPatterns(RewritePatternSet &results,
                                                     MLIRContext *context) {
  results.add<SimplifyAffineOp<AffineVectorLoadOp>>(context);
}
 
ParseResult AffineVectorLoadOp::parse(OpAsmParser &parser,
                                      OperationState &result) {
  auto &builder = parser.getBuilder();
  auto indexTy = builder.getIndexType();
 
  MemRefType memrefType;
  VectorType resultType;
  OpAsmParser::UnresolvedOperand memrefInfo;
  AffineMapAttr mapAttr;
  SmallVector<OpAsmParser::UnresolvedOperand, 1> mapOperands;
  return failure(
      parser.parseOperand(memrefInfo) ||
      parser.parseAffineMapOfSSAIds(mapOperands, mapAttr,
                                    AffineVectorLoadOp::getMapAttrStrName(),
                                    result.attributes) ||
      parser.parseOptionalAttrDict(result.attributes) ||
      parser.parseColonType(memrefType) || parser.parseComma() ||
      parser.parseType(resultType) ||
      parser.resolveOperand(memrefInfo, memrefType, result.operands) ||
      parser.resolveOperands(mapOperands, indexTy, result.operands) ||
      parser.addTypeToList(resultType, result.types));
}
 
void AffineVectorLoadOp::print(OpAsmPrinter &p) {
  p << " " << getMemRef() << '[';
  if (AffineMapAttr mapAttr = getMapAttr())
    p.printAffineMapOfSSAIds(mapAttr, getMapOperands());
  p << ']';
  SmallVector<NamedAttribute> attrs((*this)->getDiscardableAttrs());
  if (IntegerAttr alignment = getAlignmentAttr())
    attrs.emplace_back(getAlignmentAttrName(), alignment);
  llvm::sort(attrs);
  p.printOptionalAttrDict(attrs);
  p << " : " << getMemRefType() << ", " << getType();
}
 
/// Verify common invariants of affine.vector_load and affine.vector_store.
static LogicalResult verifyVectorMemoryOp(Operation *op, MemRefType memrefType,
                                          VectorType vectorType) {
  // Check that memref and vector element types match.
  if (memrefType.getElementType() != vectorType.getElementType())
    return op->emitOpError(
        "requires memref and vector types of the same elemental type");
  return success();
}
 
LogicalResult AffineVectorLoadOp::verify() {
  MemRefType memrefType = getMemRefType();
  if (failed(verifyMemoryOpIndexing(*this, getMapAttr(), getMapOperands(),
                                    memrefType,
                                    /*numIndexOperands=*/getNumOperands() - 1)))
    return failure();
 
  if (failed(verifyVectorMemoryOp(getOperation(), memrefType, getVectorType())))
    return failure();
 
  return success();
}
 
//===----------------------------------------------------------------------===//
// AffineVectorStoreOp
//===----------------------------------------------------------------------===//
 
void AffineVectorStoreOp::build(OpBuilder &builder, OperationState &result,
                                Value valueToStore, Value memref, AffineMap map,
                                ValueRange mapOperands,
                                llvm::MaybeAlign alignment) {
  assert(map.getNumInputs() == mapOperands.size() && "inconsistent index info");
  result.addOperands(valueToStore);
  result.addOperands(memref);
  result.addOperands(mapOperands);
  result.addAttribute(getMapAttrStrName(), AffineMapAttr::get(map));
  addAlignmentAttr(builder, result, getAlignmentAttrName(result.name),
                   alignment);
}
 
// Use identity map.
void AffineVectorStoreOp::build(OpBuilder &builder, OperationState &result,
                                Value valueToStore, Value memref,
                                ValueRange indices,
                                llvm::MaybeAlign alignment) {
  auto memrefType = llvm::cast<MemRefType>(memref.getType());
  int64_t rank = memrefType.getRank();
  // Create identity map for memrefs with at least one dimension or () -> ()
  // for zero-dimensional memrefs.
  auto map =
      rank ? builder.getMultiDimIdentityMap(rank) : builder.getEmptyAffineMap();
  build(builder, result, valueToStore, memref, map, indices, alignment);
}
void AffineVectorStoreOp::getCanonicalizationPatterns(
    RewritePatternSet &results, MLIRContext *context) {
  results.add<SimplifyAffineOp<AffineVectorStoreOp>>(context);
}
 
ParseResult AffineVectorStoreOp::parse(OpAsmParser &parser,
                                       OperationState &result) {
  auto indexTy = parser.getBuilder().getIndexType();
 
  MemRefType memrefType;
  VectorType resultType;
  OpAsmParser::UnresolvedOperand storeValueInfo;
  OpAsmParser::UnresolvedOperand memrefInfo;
  AffineMapAttr mapAttr;
  SmallVector<OpAsmParser::UnresolvedOperand, 1> mapOperands;
  return failure(
      parser.parseOperand(storeValueInfo) || parser.parseComma() ||
      parser.parseOperand(memrefInfo) ||
      parser.parseAffineMapOfSSAIds(mapOperands, mapAttr,
                                    AffineVectorStoreOp::getMapAttrStrName(),
                                    result.attributes) ||
      parser.parseOptionalAttrDict(result.attributes) ||
      parser.parseColonType(memrefType) || parser.parseComma() ||
      parser.parseType(resultType) ||
      parser.resolveOperand(storeValueInfo, resultType, result.operands) ||
      parser.resolveOperand(memrefInfo, memrefType, result.operands) ||
      parser.resolveOperands(mapOperands, indexTy, result.operands));
}
 
void AffineVectorStoreOp::print(OpAsmPrinter &p) {
  p << " " << getValueToStore();
  p << ", " << getMemRef() << '[';
  if (AffineMapAttr mapAttr = getMapAttr())
    p.printAffineMapOfSSAIds(mapAttr, getMapOperands());
  p << ']';
  SmallVector<NamedAttribute> attrs((*this)->getDiscardableAttrs());
  if (IntegerAttr alignment = getAlignmentAttr())
    attrs.emplace_back(getAlignmentAttrName(), alignment);
  llvm::sort(attrs);
  p.printOptionalAttrDict(attrs);
  p << " : " << getMemRefType() << ", " << getValueToStore().getType();
}
 
LogicalResult AffineVectorStoreOp::verify() {
  MemRefType memrefType = getMemRefType();
  if (failed(verifyMemoryOpIndexing(*this, getMapAttr(), getMapOperands(),
                                    memrefType,
                                    /*numIndexOperands=*/getNumOperands() - 2)))
    return failure();
 
  if (failed(verifyVectorMemoryOp(*this, memrefType, getVectorType())))
    return failure();
 
  return success();
}
 
//===----------------------------------------------------------------------===//
// DelinearizeIndexOp
//===----------------------------------------------------------------------===//
 
void AffineDelinearizeIndexOp::build(OpBuilder &odsBuilder,
                                     OperationState &odsState,
                                     Value linearIndex, ValueRange dynamicBasis,
                                     ArrayRef<int64_t> staticBasis,
                                     bool hasOuterBound) {
  SmallVector<Type> returnTypes(hasOuterBound ? staticBasis.size()
                                              : staticBasis.size() + 1,
                                linearIndex.getType());
  build(odsBuilder, odsState, returnTypes, linearIndex, dynamicBasis,
        staticBasis);
}
 
void AffineDelinearizeIndexOp::build(OpBuilder &odsBuilder,
                                     OperationState &odsState,
                                     Value linearIndex, ValueRange basis,
                                     bool hasOuterBound) {
  if (hasOuterBound && !basis.empty() && basis.front() == nullptr) {
    hasOuterBound = false;
    basis = basis.drop_front();
  }
  SmallVector<Value> dynamicBasis;
  SmallVector<int64_t> staticBasis;
  dispatchIndexOpFoldResults(getAsOpFoldResult(basis), dynamicBasis,
                             staticBasis);
  build(odsBuilder, odsState, linearIndex, dynamicBasis, staticBasis,
        hasOuterBound);
}
 
void AffineDelinearizeIndexOp::build(OpBuilder &odsBuilder,
                                     OperationState &odsState,
                                     Value linearIndex,
                                     ArrayRef<OpFoldResult> basis,
                                     bool hasOuterBound) {
  if (hasOuterBound && !basis.empty() && basis.front() == OpFoldResult()) {
    hasOuterBound = false;
    basis = basis.drop_front();
  }
  SmallVector<Value> dynamicBasis;
  SmallVector<int64_t> staticBasis;
  dispatchIndexOpFoldResults(basis, dynamicBasis, staticBasis);
  build(odsBuilder, odsState, linearIndex, dynamicBasis, staticBasis,
        hasOuterBound);
}
 
void AffineDelinearizeIndexOp::build(OpBuilder &odsBuilder,
                                     OperationState &odsState,
                                     Value linearIndex, ArrayRef<int64_t> basis,
                                     bool hasOuterBound) {
  build(odsBuilder, odsState, linearIndex, ValueRange{}, basis, hasOuterBound);
}
 
LogicalResult AffineDelinearizeIndexOp::verify() {
  ArrayRef<int64_t> staticBasis = getStaticBasis();
  if (getNumResults() != staticBasis.size() &&
      getNumResults() != staticBasis.size() + 1)
    return emitOpError("should return an index for each basis element and up "
                       "to one extra index");
 
  auto dynamicMarkersCount = llvm::count_if(staticBasis, ShapedType::isDynamic);
  if (static_cast<size_t>(dynamicMarkersCount) != getDynamicBasis().size())
    return emitOpError(
        "mismatch between dynamic and static basis (kDynamic marker but no "
        "corresponding dynamic basis entry) -- this can only happen due to an "
        "incorrect fold/rewrite");
 
  if (!llvm::all_of(staticBasis, [](int64_t v) {
        return v > 0 || ShapedType::isDynamic(v);
      }))
    return emitOpError("no basis element may be statically non-positive");
 
  return success();
}
 
/// Given mixed basis of affine.delinearize_index/linearize_index replace
/// constant SSA values with the constant integer value and return the new
/// static basis. In case no such candidate for replacement exists, this utility
/// returns std::nullopt.
static std::optional<SmallVector<int64_t>>
foldCstValueToCstAttrBasis(ArrayRef<OpFoldResult> mixedBasis,
                           MutableOperandRange mutableDynamicBasis,
                           ArrayRef<Attribute> dynamicBasis) {
  uint64_t dynamicBasisIndex = 0;
  for (Attribute basis : dynamicBasis) {
    // Skip poison values: they don't have a concrete integer value, so erasing
    // them from the dynamic operands would create an inconsistency between
    // the static basis (which would still hold kDynamic) and the dynamic
    // operand list (which would be one element shorter).
    if (basis && isa<IntegerAttr>(basis)) {
      mutableDynamicBasis.erase(dynamicBasisIndex);
    } else {
      ++dynamicBasisIndex;
    }
  }
 
  // No constant SSA value exists.
  if (dynamicBasisIndex == dynamicBasis.size())
    return std::nullopt;
 
  SmallVector<int64_t> staticBasis;
  for (OpFoldResult basis : mixedBasis) {
    std::optional<int64_t> basisVal = getConstantIntValue(basis);
    if (!basisVal)
      staticBasis.push_back(ShapedType::kDynamic);
    else
      staticBasis.push_back(*basisVal);
  }
 
  return staticBasis;
}
 
LogicalResult
AffineDelinearizeIndexOp::fold(FoldAdaptor adaptor,
                               SmallVectorImpl<OpFoldResult> &result) {
  std::optional<SmallVector<int64_t>> maybeStaticBasis =
      foldCstValueToCstAttrBasis(getMixedBasis(), getDynamicBasisMutable(),
                                 adaptor.getDynamicBasis());
  if (maybeStaticBasis) {
    setStaticBasis(*maybeStaticBasis);
    return success();
  }
  // If we won't be doing any division or modulo (no basis or the one basis
  // element is purely advisory), simply return the input value.
  if (getNumResults() == 1) {
    result.push_back(getLinearIndex());
    return success();
  }
 
  if (adaptor.getLinearIndex() == nullptr)
    return failure();
 
  if (!adaptor.getDynamicBasis().empty())
    return failure();
 
  int64_t highPart = cast<IntegerAttr>(adaptor.getLinearIndex()).getInt();
  Type attrType = getLinearIndex().getType();
 
  ArrayRef<int64_t> staticBasis = getStaticBasis();
  if (hasOuterBound())
    staticBasis = staticBasis.drop_front();
  for (int64_t modulus : llvm::reverse(staticBasis)) {
    result.push_back(IntegerAttr::get(attrType, llvm::mod(highPart, modulus)));
    highPart = llvm::divideFloorSigned(highPart, modulus);
  }
  result.push_back(IntegerAttr::get(attrType, highPart));
  std::reverse(result.begin(), result.end());
  return success();
}
 
SmallVector<OpFoldResult> AffineDelinearizeIndexOp::getEffectiveBasis() {
  OpBuilder builder(getContext());
  if (hasOuterBound()) {
    if (getStaticBasis().front() == ::mlir::ShapedType::kDynamic)
      return getMixedValues(getStaticBasis().drop_front(),
                            getDynamicBasis().drop_front(), builder);
 
    return getMixedValues(getStaticBasis().drop_front(), getDynamicBasis(),
                          builder);
  }
 
  return getMixedValues(getStaticBasis(), getDynamicBasis(), builder);
}
 
SmallVector<OpFoldResult> AffineDelinearizeIndexOp::getPaddedBasis() {
  SmallVector<OpFoldResult> ret = getMixedBasis();
  if (!hasOuterBound())
    ret.insert(ret.begin(), OpFoldResult());
  return ret;
}
 
namespace {
 
// Drops delinearization indices that correspond to unit-extent basis
struct DropUnitExtentBasis
    : public OpRewritePattern<affine::AffineDelinearizeIndexOp> {
  using OpRewritePattern::OpRewritePattern;
 
  LogicalResult matchAndRewrite(affine::AffineDelinearizeIndexOp delinearizeOp,
                                PatternRewriter &rewriter) const override {
    SmallVector<Value> replacements(delinearizeOp->getNumResults(), nullptr);
    std::optional<Value> zero = std::nullopt;
    Location loc = delinearizeOp->getLoc();
    Type indexType = delinearizeOp.getLinearIndex().getType();
    auto getZero = [&]() -> Value {
      if (!zero)
        zero = arith::ConstantOp::create(rewriter, loc,
                                         rewriter.getZeroAttr(indexType));
      return zero.value();
    };
 
    // Replace all indices corresponding to unit-extent basis with 0.
    // Remaining basis can be used to get a new `affine.delinearize_index` op.
    SmallVector<OpFoldResult> newBasis;
    for (auto [index, basis] :
         llvm::enumerate(delinearizeOp.getPaddedBasis())) {
      std::optional<int64_t> basisVal =
          basis ? getConstantIntValue(basis) : std::nullopt;
      if (basisVal == 1)
        replacements[index] = getZero();
      else
        newBasis.push_back(basis);
    }
 
    if (newBasis.size() == delinearizeOp.getNumResults())
      return rewriter.notifyMatchFailure(delinearizeOp,
                                         "no unit basis elements");
 
    if (!newBasis.empty()) {
      // Will drop the leading nullptr from `basis` if there was no outer bound.
      auto newDelinearizeOp = affine::AffineDelinearizeIndexOp::create(
          rewriter, loc, delinearizeOp.getLinearIndex(), newBasis);
      int newIndex = 0;
      // Map back the new delinearized indices to the values they replace.
      for (auto &replacement : replacements) {
        if (replacement)
          continue;
        replacement = newDelinearizeOp->getResult(newIndex++);
      }
    }
 
    rewriter.replaceOp(delinearizeOp, replacements);
    return success();
  }
};
 
/// If a `affine.delinearize_index`'s input is a `affine.linearize_index
/// disjoint` and the two operations end with the same basis elements,
/// cancel those parts of the operations out because they are inverses
/// of each other.
///
/// If the operations have the same basis, cancel them entirely.
///
/// The `disjoint` flag is needed on the `affine.linearize_index` because
/// otherwise, there is no guarantee that the inputs to the linearization are
/// in-bounds the way the outputs of the delinearization would be.
struct CancelDelinearizeOfLinearizeDisjointExactTail
    : public OpRewritePattern<affine::AffineDelinearizeIndexOp> {
  using OpRewritePattern::OpRewritePattern;
 
  LogicalResult matchAndRewrite(affine::AffineDelinearizeIndexOp delinearizeOp,
                                PatternRewriter &rewriter) const override {
    auto linearizeOp = delinearizeOp.getLinearIndex()
                           .getDefiningOp<affine::AffineLinearizeIndexOp>();
    if (!linearizeOp)
      return rewriter.notifyMatchFailure(delinearizeOp,
                                         "index doesn't come from linearize");
 
    if (!linearizeOp.getDisjoint())
      return rewriter.notifyMatchFailure(linearizeOp, "not disjoint");
 
    ValueRange linearizeIns = linearizeOp.getMultiIndex();
    // Note: we use the full basis so we don't lose outer bounds later.
    SmallVector<OpFoldResult> linearizeBasis = linearizeOp.getMixedBasis();
    SmallVector<OpFoldResult> delinearizeBasis = delinearizeOp.getMixedBasis();
    size_t numMatches = 0;
    for (auto [linSize, delinSize] : llvm::zip(
             llvm::reverse(linearizeBasis), llvm::reverse(delinearizeBasis))) {
      if (linSize != delinSize)
        break;
      ++numMatches;
    }
 
    if (numMatches == 0)
      return rewriter.notifyMatchFailure(
          delinearizeOp, "final basis element doesn't match linearize");
 
    // The easy case: everything lines up and the basis match sup completely.
    if (numMatches == linearizeBasis.size() &&
        numMatches == delinearizeBasis.size() &&
        linearizeIns.size() == delinearizeOp.getNumResults()) {
      rewriter.replaceOp(delinearizeOp, linearizeOp.getMultiIndex());
      return success();
    }
 
    Value newLinearize = affine::AffineLinearizeIndexOp::create(
        rewriter, linearizeOp.getLoc(), linearizeIns.drop_back(numMatches),
        ArrayRef<OpFoldResult>{linearizeBasis}.drop_back(numMatches),
        linearizeOp.getDisjoint());
    auto newDelinearize = affine::AffineDelinearizeIndexOp::create(
        rewriter, delinearizeOp.getLoc(), newLinearize,
        ArrayRef<OpFoldResult>{delinearizeBasis}.drop_back(numMatches),
        delinearizeOp.hasOuterBound());
    SmallVector<Value> mergedResults(newDelinearize.getResults());
    mergedResults.append(linearizeIns.take_back(numMatches).begin(),
                         linearizeIns.take_back(numMatches).end());
    rewriter.replaceOp(delinearizeOp, mergedResults);
    return success();
  }
};
 
/// If the input to a delinearization is a disjoint linearization, and the
/// last k > 1 components of the delinearization basis multiply to the
/// last component of the linearization basis, break the linearization and
/// delinearization into two parts, peeling off the last input to linearization.
/// The split does not apply when it would consume an entire outer-bounded
/// delinearization basis because earlier linearization inputs still contribute
/// to the first delinearized result.
///
/// For example:
///    %0 = affine.linearize_index [%z, %y, %x] by (3, 2, 32) : index
///    %1:4 = affine.delinearize_index %0 by (2, 3, 8, 4) : index, ...
/// becomes
///    %0 = affine.linearize_index [%z, %y] by (3, 2) : index
///    %1:2 = affine.delinearize_index %0 by (2, 3) : index
///    %2:2 = affine.delinearize_index %x by (8, 4) : index
/// where the original %1:4 is replaced by %1:2 ++ %2:2
struct SplitDelinearizeSpanningLastLinearizeArg final
    : OpRewritePattern<affine::AffineDelinearizeIndexOp> {
  using OpRewritePattern::OpRewritePattern;
 
  LogicalResult matchAndRewrite(affine::AffineDelinearizeIndexOp delinearizeOp,
                                PatternRewriter &rewriter) const override {
    auto linearizeOp = delinearizeOp.getLinearIndex()
                           .getDefiningOp<affine::AffineLinearizeIndexOp>();
    if (!linearizeOp)
      return rewriter.notifyMatchFailure(delinearizeOp,
                                         "index doesn't come from linearize");
 
    if (!linearizeOp.getDisjoint())
      return rewriter.notifyMatchFailure(linearizeOp,
                                         "linearize isn't disjoint");
 
    // A linearize with no inputs has an empty basis and folds to a constant
    // zero; there is nothing to split, and reading its last basis element
    // below would be out of bounds.
    if (linearizeOp.getStaticBasis().empty())
      return rewriter.notifyMatchFailure(
          linearizeOp, "linearize has no basis elements (no inputs)");
 
    int64_t target = linearizeOp.getStaticBasis().back();
    if (ShapedType::isDynamic(target))
      return rewriter.notifyMatchFailure(
          linearizeOp, "linearize ends with dynamic basis value");
 
    int64_t sizeToSplit = 1;
    size_t elemsToSplit = 0;
    ArrayRef<int64_t> basis = delinearizeOp.getStaticBasis();
    for (int64_t basisElem : llvm::reverse(basis)) {
      if (ShapedType::isDynamic(basisElem))
        return rewriter.notifyMatchFailure(
            delinearizeOp, "dynamic basis element while scanning for split");
      sizeToSplit *= basisElem;
      elemsToSplit += 1;
 
      if (sizeToSplit > target)
        return rewriter.notifyMatchFailure(delinearizeOp,
                                           "overshot last argument size");
      if (sizeToSplit == target)
        break;
    }
 
    if (sizeToSplit < target)
      return rewriter.notifyMatchFailure(
          delinearizeOp, "product of known basis elements doesn't exceed last "
                         "linearize argument");
 
    if (elemsToSplit < 2)
      return rewriter.notifyMatchFailure(
          delinearizeOp,
          "need at least two elements to form the basis product");
 
    if (elemsToSplit == basis.size() && delinearizeOp.hasOuterBound())
      return rewriter.notifyMatchFailure(
          delinearizeOp, "split would consume entire bounded basis");
 
    Value linearizeWithoutBack = affine::AffineLinearizeIndexOp::create(
        rewriter, linearizeOp.getLoc(), linearizeOp.getLinearIndex().getType(),
        linearizeOp.getMultiIndex().drop_back(), linearizeOp.getDynamicBasis(),
        linearizeOp.getStaticBasis().drop_back(), linearizeOp.getDisjoint());
    auto delinearizeWithoutSplitPart = affine::AffineDelinearizeIndexOp::create(
        rewriter, delinearizeOp.getLoc(), linearizeWithoutBack,
        delinearizeOp.getDynamicBasis(), basis.drop_back(elemsToSplit),
        delinearizeOp.hasOuterBound());
    auto delinearizeBack = affine::AffineDelinearizeIndexOp::create(
        rewriter, delinearizeOp.getLoc(), linearizeOp.getMultiIndex().back(),
        basis.take_back(elemsToSplit), /*hasOuterBound=*/true);
    SmallVector<Value> results = llvm::to_vector(
        llvm::concat<Value>(delinearizeWithoutSplitPart.getResults(),
                            delinearizeBack.getResults()));
    rewriter.replaceOp(delinearizeOp, results);
 
    return success();
  }
};
} // namespace
 
void affine::AffineDelinearizeIndexOp::getCanonicalizationPatterns(
    RewritePatternSet &patterns, MLIRContext *context) {
  patterns
      .insert<CancelDelinearizeOfLinearizeDisjointExactTail,
              DropUnitExtentBasis, SplitDelinearizeSpanningLastLinearizeArg>(
          context);
}
 
//===----------------------------------------------------------------------===//
// LinearizeIndexOp
//===----------------------------------------------------------------------===//
 
/// Infer the index type from a set of multi-index values. Returns the common
/// type (index or vector<...xindex>), or IndexType if the set is empty.
static Type inferIndexType(MLIRContext *ctx, ValueRange multiIndex) {
  if (multiIndex.empty())
    return IndexType::get(ctx);
  return multiIndex.front().getType();
}
 
void AffineLinearizeIndexOp::build(OpBuilder &odsBuilder,
                                   OperationState &odsState,
                                   ValueRange multiIndex, ValueRange basis,
                                   bool disjoint) {
  if (!basis.empty() && basis.front() == Value())
    basis = basis.drop_front();
  SmallVector<Value> dynamicBasis;
  SmallVector<int64_t> staticBasis;
  dispatchIndexOpFoldResults(getAsOpFoldResult(basis), dynamicBasis,
                             staticBasis);
  Type resultType = inferIndexType(odsBuilder.getContext(), multiIndex);
  build(odsBuilder, odsState, resultType, multiIndex, dynamicBasis, staticBasis,
        disjoint);
}
 
void AffineLinearizeIndexOp::build(OpBuilder &odsBuilder,
                                   OperationState &odsState,
                                   ValueRange multiIndex,
                                   ArrayRef<OpFoldResult> basis,
                                   bool disjoint) {
  if (!basis.empty() && basis.front() == OpFoldResult())
    basis = basis.drop_front();
  SmallVector<Value> dynamicBasis;
  SmallVector<int64_t> staticBasis;
  dispatchIndexOpFoldResults(basis, dynamicBasis, staticBasis);
  Type resultType = inferIndexType(odsBuilder.getContext(), multiIndex);
  build(odsBuilder, odsState, resultType, multiIndex, dynamicBasis, staticBasis,
        disjoint);
}
 
void AffineLinearizeIndexOp::build(OpBuilder &odsBuilder,
                                   OperationState &odsState,
                                   ValueRange multiIndex,
                                   ArrayRef<int64_t> basis, bool disjoint) {
  Type resultType = inferIndexType(odsBuilder.getContext(), multiIndex);
  build(odsBuilder, odsState, resultType, multiIndex, ValueRange{}, basis,
        disjoint);
}
 
LogicalResult AffineLinearizeIndexOp::verify() {
  size_t numIndexes = getMultiIndex().size();
  size_t numBasisElems = getStaticBasis().size();
  if (numIndexes != numBasisElems && numIndexes != numBasisElems + 1)
    return emitOpError("should be passed a basis element for each index except "
                       "possibly the first");
 
  auto dynamicMarkersCount =
      llvm::count_if(getStaticBasis(), ShapedType::isDynamic);
  if (static_cast<size_t>(dynamicMarkersCount) != getDynamicBasis().size())
    return emitOpError(
        "mismatch between dynamic and static basis (kDynamic marker but no "
        "corresponding dynamic basis entry) -- this can only happen due to an "
        "incorrect fold/rewrite");
 
  return success();
}
 
OpFoldResult AffineLinearizeIndexOp::fold(FoldAdaptor adaptor) {
  std::optional<SmallVector<int64_t>> maybeStaticBasis =
      foldCstValueToCstAttrBasis(getMixedBasis(), getDynamicBasisMutable(),
                                 adaptor.getDynamicBasis());
  if (maybeStaticBasis) {
    setStaticBasis(*maybeStaticBasis);
    return getResult();
  }
  // No indices linearizes to zero.
  if (getMultiIndex().empty())
    return IntegerAttr::get(getResult().getType(), 0);
 
  // One single index linearizes to itself.
  if (getMultiIndex().size() == 1)
    return getMultiIndex().front();
 
  // Return nullptr if any multi-index attribute has not been folded to a
  // concrete integer (e.g. it is still a runtime value or has folded to a
  // non-integer attribute such as #ub.poison).
  if (llvm::any_of(adaptor.getMultiIndex(), [](Attribute a) {
        return !isa_and_nonnull<IntegerAttr>(a);
      }))
    return nullptr;
 
  if (!adaptor.getDynamicBasis().empty())
    return nullptr;
 
  int64_t result = 0;
  int64_t stride = 1;
  for (auto [length, indexAttr] :
       llvm::zip_first(llvm::reverse(getStaticBasis()),
                       llvm::reverse(adaptor.getMultiIndex()))) {
    result = result + cast<IntegerAttr>(indexAttr).getInt() * stride;
    stride = stride * length;
  }
  // Handle the index element with no basis element.
  if (!hasOuterBound())
    result =
        result +
        cast<IntegerAttr>(adaptor.getMultiIndex().front()).getInt() * stride;
 
  return IntegerAttr::get(getResult().getType(), result);
}
 
SmallVector<OpFoldResult> AffineLinearizeIndexOp::getEffectiveBasis() {
  OpBuilder builder(getContext());
  if (hasOuterBound()) {
    if (getStaticBasis().front() == ::mlir::ShapedType::kDynamic)
      return getMixedValues(getStaticBasis().drop_front(),
                            getDynamicBasis().drop_front(), builder);
 
    return getMixedValues(getStaticBasis().drop_front(), getDynamicBasis(),
                          builder);
  }
 
  return getMixedValues(getStaticBasis(), getDynamicBasis(), builder);
}
 
SmallVector<OpFoldResult> AffineLinearizeIndexOp::getPaddedBasis() {
  SmallVector<OpFoldResult> ret = getMixedBasis();
  if (!hasOuterBound())
    ret.insert(ret.begin(), OpFoldResult());
  return ret;
}
 
namespace {
/// Rewrite `affine.linearize_index disjoint [%...a, %x, %...b] by (%...c, 1,
/// %...d)` to `affine.linearize_index disjoint [%...a, %...b] by (%...c,
/// %...d)`.
 
/// Note that `disjoint` is required here, because, without it, we could have
/// `affine.linearize_index [%...a, %c64, %...b] by (%...c, 1, %...d)`
/// is a valid operation where the `%c64` cannot be trivially dropped.
///
/// Alternatively, if `%x` in the above is a known constant 0, remove it even if
/// the operation isn't asserted to be `disjoint`.
struct DropLinearizeUnitComponentsIfDisjointOrZero final
    : OpRewritePattern<affine::AffineLinearizeIndexOp> {
  using OpRewritePattern::OpRewritePattern;
 
  LogicalResult matchAndRewrite(affine::AffineLinearizeIndexOp op,
                                PatternRewriter &rewriter) const override {
    ValueRange multiIndex = op.getMultiIndex();
    size_t numIndices = multiIndex.size();
    SmallVector<Value> newIndices;
    newIndices.reserve(numIndices);
    SmallVector<OpFoldResult> newBasis;
    newBasis.reserve(numIndices);
 
    if (!op.hasOuterBound()) {
      newIndices.push_back(multiIndex.front());
      multiIndex = multiIndex.drop_front();
    }
 
    SmallVector<OpFoldResult> basis = op.getMixedBasis();
    for (auto [index, basisElem] : llvm::zip_equal(multiIndex, basis)) {
      std::optional<int64_t> basisEntry = getConstantIntValue(basisElem);
      if (!basisEntry || *basisEntry != 1) {
        newIndices.push_back(index);
        newBasis.push_back(basisElem);
        continue;
      }
 
      std::optional<int64_t> indexValue = getConstantIntValue(index);
      if (!op.getDisjoint() && (!indexValue || *indexValue != 0)) {
        newIndices.push_back(index);
        newBasis.push_back(basisElem);
        continue;
      }
    }
    if (newIndices.size() == numIndices)
      return rewriter.notifyMatchFailure(op,
                                         "no unit basis entries to replace");
 
    if (newIndices.empty()) {
      rewriter.replaceOpWithNewOp<arith::ConstantOp>(
          op, rewriter.getZeroAttr(op.getLinearIndex().getType()));
      return success();
    }
    rewriter.replaceOpWithNewOp<affine::AffineLinearizeIndexOp>(
        op, newIndices, newBasis, op.getDisjoint());
    return success();
  }
};
 
OpFoldResult computeProduct(Location loc, OpBuilder &builder,
                            ArrayRef<OpFoldResult> terms) {
  int64_t nDynamic = 0;
  SmallVector<Value> dynamicPart;
  AffineExpr result = builder.getAffineConstantExpr(1);
  for (OpFoldResult term : terms) {
    if (!term)
      return term;
    std::optional<int64_t> maybeConst = getConstantIntValue(term);
    if (maybeConst) {
      result = result * builder.getAffineConstantExpr(*maybeConst);
    } else {
      dynamicPart.push_back(cast<Value>(term));
      result = result * builder.getAffineSymbolExpr(nDynamic++);
    }
  }
  if (auto constant = dyn_cast<AffineConstantExpr>(result))
    return getAsIndexOpFoldResult(builder.getContext(), constant.getValue());
  return AffineApplyOp::create(builder, loc, result, dynamicPart).getResult();
}
 
/// If conseceutive outputs of a delinearize_index are linearized with the same
/// bounds, canonicalize away the redundant arithmetic.
///
/// That is, if we have
/// ```
/// %s:N = affine.delinearize_index %x into (...a, B1, B2, ... BK, ...b)
/// %t = affine.linearize_index [...c, %s#I, %s#(I + 1), ... %s#(I+K-1), ...d]
///   by (...e, B1, B2, ..., BK, ...f)
/// ```
///
/// We can rewrite this to
/// ```
/// B = B1 * B2 ... BK
/// %sMerged:(N-K+1) affine.delinearize_index %x into (...a, B, ...b)
/// %t = affine.linearize_index [...c, %s#I, ...d] by (...e, B, ...f)
/// ```
/// where we replace all results of %s unaffected by the change with results
/// from %sMerged.
///
/// As a special case, if all results of the delinearize are merged in this way
/// we can replace those usages with %x, thus cancelling the delinearization
/// entirely, as in
/// ```
/// %s:3 = affine.delinearize_index %x into (2, 4, 8)
/// %t = affine.linearize_index [%s#0, %s#1, %s#2, %c0] by (2, 4, 8, 16)
/// ```
/// becoming `%t = affine.linearize_index [%x, %c0] by (64, 16)`
struct CancelLinearizeOfDelinearizePortion final
    : OpRewritePattern<affine::AffineLinearizeIndexOp> {
  using OpRewritePattern::OpRewritePattern;
 
private:
  // Struct representing a case where the cancellation pattern
  // applies. A `Match` means that `length` inputs to the linearize operation
  // starting at `linStart` can be cancelled with `length` outputs of
  // `delinearize`, starting from `delinStart`.
  struct Match {
    AffineDelinearizeIndexOp delinearize;
    unsigned linStart = 0;
    unsigned delinStart = 0;
    unsigned length = 0;
  };
 
public:
  LogicalResult matchAndRewrite(affine::AffineLinearizeIndexOp linearizeOp,
                                PatternRewriter &rewriter) const override {
    SmallVector<Match> matches;
 
    const SmallVector<OpFoldResult> linBasis = linearizeOp.getPaddedBasis();
    ArrayRef<OpFoldResult> linBasisRef = linBasis;
 
    ValueRange multiIndex = linearizeOp.getMultiIndex();
    unsigned numLinArgs = multiIndex.size();
    unsigned linArgIdx = 0;
    // We only want to replace one run from the same delinearize op per
    // pattern invocation lest we run into invalidation issues.
    llvm::SmallPtrSet<Operation *, 2> alreadyMatchedDelinearize;
    while (linArgIdx < numLinArgs) {
      auto asResult = dyn_cast<OpResult>(multiIndex[linArgIdx]);
      if (!asResult) {
        linArgIdx++;
        continue;
      }
 
      auto delinearizeOp =
          dyn_cast<AffineDelinearizeIndexOp>(asResult.getOwner());
      if (!delinearizeOp) {
        linArgIdx++;
        continue;
      }
 
      /// Result 0 of the delinearize and argument 0 of the linearize can
      /// leave their maximum value unspecified. However, even if this happens
      /// we can still sometimes start the match process. Specifically, if
      /// - The argument we're matching is result 0 and argument 0 (so the
      /// bounds don't matter). For example,
      ///
      ///     %0:2 = affine.delinearize_index %x into (8) : index, index
      ///     %1 = affine.linearize_index [%s#0, %s#1, ...] (8, ...)
      /// allows cancellation
      /// - The delinearization doesn't specify a bound, but the linearization
      ///  is `disjoint`, which asserts that the bound on the linearization is
      ///  correct.
      unsigned delinArgIdx = asResult.getResultNumber();
      SmallVector<OpFoldResult> delinBasis = delinearizeOp.getPaddedBasis();
      OpFoldResult firstDelinBound = delinBasis[delinArgIdx];
      OpFoldResult firstLinBound = linBasis[linArgIdx];
      bool boundsMatch = firstDelinBound == firstLinBound;
      bool bothAtFront = linArgIdx == 0 && delinArgIdx == 0;
      bool knownByDisjoint =
          linearizeOp.getDisjoint() && delinArgIdx == 0 && !firstDelinBound;
      if (!boundsMatch && !bothAtFront && !knownByDisjoint) {
        linArgIdx++;
        continue;
      }
 
      unsigned j = 1;
      unsigned numDelinOuts = delinearizeOp.getNumResults();
      for (; j + linArgIdx < numLinArgs && j + delinArgIdx < numDelinOuts;
           ++j) {
        if (multiIndex[linArgIdx + j] !=
            delinearizeOp.getResult(delinArgIdx + j))
          break;
        if (linBasis[linArgIdx + j] != delinBasis[delinArgIdx + j])
          break;
      }
      // If there're multiple matches against the same delinearize_index,
      // only rewrite the first one we find to prevent invalidations. The next
      // ones will be taken care of by subsequent pattern invocations.
      if (j <= 1 || !alreadyMatchedDelinearize.insert(delinearizeOp).second) {
        linArgIdx++;
        continue;
      }
      matches.push_back(Match{delinearizeOp, linArgIdx, delinArgIdx, j});
      linArgIdx += j;
    }
 
    if (matches.empty())
      return rewriter.notifyMatchFailure(
          linearizeOp, "no run of delinearize outputs to deal with");
 
    // Record all the delinearize replacements so we can do them after creating
    // the new linearization operation, since the new operation might use
    // outputs of something we're replacing.
    SmallVector<SmallVector<Value>> delinearizeReplacements;
 
    SmallVector<Value> newIndex;
    newIndex.reserve(numLinArgs);
    SmallVector<OpFoldResult> newBasis;
    newBasis.reserve(numLinArgs);
    unsigned prevMatchEnd = 0;
    for (Match m : matches) {
      unsigned gap = m.linStart - prevMatchEnd;
      llvm::append_range(newIndex, multiIndex.slice(prevMatchEnd, gap));
      llvm::append_range(newBasis, linBasisRef.slice(prevMatchEnd, gap));
      // Update here so we don't forget this during early continues
      prevMatchEnd = m.linStart + m.length;
 
      PatternRewriter::InsertionGuard g(rewriter);
      rewriter.setInsertionPoint(m.delinearize);
 
      ArrayRef<OpFoldResult> basisToMerge =
          linBasisRef.slice(m.linStart, m.length);
      // We use the slice from the linearize's basis above because of the
      // "bounds inferred from `disjoint`" case above.
      OpFoldResult newSize =
          computeProduct(linearizeOp.getLoc(), rewriter, basisToMerge);
 
      // Trivial case where we can just skip past the delinearize all together
      if (m.length == m.delinearize.getNumResults()) {
        newIndex.push_back(m.delinearize.getLinearIndex());
        newBasis.push_back(newSize);
        // Pad out set of replacements so we don't do anything with this one.
        delinearizeReplacements.push_back(SmallVector<Value>());
        continue;
      }
 
      SmallVector<Value> newDelinResults;
      SmallVector<OpFoldResult> newDelinBasis = m.delinearize.getPaddedBasis();
      newDelinBasis.erase(newDelinBasis.begin() + m.delinStart,
                          newDelinBasis.begin() + m.delinStart + m.length);
      newDelinBasis.insert(newDelinBasis.begin() + m.delinStart, newSize);
      auto newDelinearize = AffineDelinearizeIndexOp::create(
          rewriter, m.delinearize.getLoc(), m.delinearize.getLinearIndex(),
          newDelinBasis);
 
      // Since there may be other uses of the indices we just merged together,
      // create a residual affine.delinearize_index that delinearizes the
      // merged output into its component parts.
      Value combinedElem = newDelinearize.getResult(m.delinStart);
      auto residualDelinearize = AffineDelinearizeIndexOp::create(
          rewriter, m.delinearize.getLoc(), combinedElem, basisToMerge);
 
      // Swap all the uses of the unaffected delinearize outputs to the new
      // delinearization so that the old code can be removed if this
      // linearize_index is the only user of the merged results.
      llvm::append_range(newDelinResults,
                         newDelinearize.getResults().take_front(m.delinStart));
      llvm::append_range(newDelinResults, residualDelinearize.getResults());
      llvm::append_range(
          newDelinResults,
          newDelinearize.getResults().drop_front(m.delinStart + 1));
 
      delinearizeReplacements.push_back(newDelinResults);
      newIndex.push_back(combinedElem);
      newBasis.push_back(newSize);
    }
    llvm::append_range(newIndex, multiIndex.drop_front(prevMatchEnd));
    llvm::append_range(newBasis, linBasisRef.drop_front(prevMatchEnd));
    rewriter.replaceOpWithNewOp<AffineLinearizeIndexOp>(
        linearizeOp, newIndex, newBasis, linearizeOp.getDisjoint());
 
    for (auto [m, newResults] :
         llvm::zip_equal(matches, delinearizeReplacements)) {
      if (newResults.empty())
        continue;
      rewriter.replaceOp(m.delinearize, newResults);
    }
 
    return success();
  }
};
 
/// Strip leading zero from affine.linearize_index.
///
/// `affine.linearize_index [%c0, ...a] by (%x, ...b)` can be rewritten
/// to `affine.linearize_index [...a] by (...b)` in all cases.
struct DropLinearizeLeadingZero final
    : OpRewritePattern<affine::AffineLinearizeIndexOp> {
  using OpRewritePattern::OpRewritePattern;
 
  LogicalResult matchAndRewrite(affine::AffineLinearizeIndexOp op,
                                PatternRewriter &rewriter) const override {
    Value leadingIdx = op.getMultiIndex().front();
    if (!matchPattern(leadingIdx, m_Zero()))
      return failure();
 
    if (op.getMultiIndex().size() == 1) {
      rewriter.replaceOp(op, leadingIdx);
      return success();
    }
 
    SmallVector<OpFoldResult> mixedBasis = op.getMixedBasis();
    ArrayRef<OpFoldResult> newMixedBasis = mixedBasis;
    if (op.hasOuterBound())
      newMixedBasis = newMixedBasis.drop_front();
 
    rewriter.replaceOpWithNewOp<affine::AffineLinearizeIndexOp>(
        op, op.getMultiIndex().drop_front(), newMixedBasis, op.getDisjoint());
    return success();
  }
};
} // namespace
 
void affine::AffineLinearizeIndexOp::getCanonicalizationPatterns(
    RewritePatternSet &patterns, MLIRContext *context) {
  patterns.add<CancelLinearizeOfDelinearizePortion, DropLinearizeLeadingZero,
               DropLinearizeUnitComponentsIfDisjointOrZero>(context);
}
 
//===----------------------------------------------------------------------===//
// TableGen'd op method definitions
//===----------------------------------------------------------------------===//
 
#define GET_OP_CLASSES
#include "mlir/Dialect/Affine/IR/AffineOps.cpp.inc"