Index/IR/IndexOps.cpp

//===- IndexOps.cpp - Index operation definitions --------------------------==//
//
// 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/Index/IR/IndexOps.h"
#include "mlir/Dialect/Index/IR/IndexAttrs.h"
#include "mlir/Dialect/Index/IR/IndexDialect.h"
#include "mlir/IR/Builders.h"
#include "mlir/IR/Matchers.h"
#include "mlir/IR/OpImplementation.h"
#include "mlir/IR/PatternMatch.h"
#include "mlir/Interfaces/Utils/InferIntRangeCommon.h"
#include "llvm/ADT/SmallString.h"
#include "llvm/ADT/TypeSwitch.h"

using namespace mlir;
using namespace mlir::index;

//===----------------------------------------------------------------------===//
// IndexDialect
//===----------------------------------------------------------------------===//

void IndexDialect::registerOperations() {
  addOperations<
#define GET_OP_LIST
#include "mlir/Dialect/Index/IR/IndexOps.cpp.inc"
      >();
}

Operation *IndexDialect::materializeConstant(OpBuilder &b, Attribute value,
                                             Type type, Location loc) {
  // Materialize bool constants as `i1`.
  if (auto boolValue = dyn_cast<BoolAttr>(value)) {
    if (!type.isSignlessInteger(1))
      return nullptr;
    return b.create<BoolConstantOp>(loc, type, boolValue);
  }

  // Materialize integer attributes as `index`.
  if (auto indexValue = dyn_cast<IntegerAttr>(value)) {
    if (!llvm::isa<IndexType>(indexValue.getType()) ||
        !llvm::isa<IndexType>(type))
      return nullptr;
    assert(indexValue.getValue().getBitWidth() ==
           IndexType::kInternalStorageBitWidth);
    return b.create<ConstantOp>(loc, indexValue);
  }

  return nullptr;
}

//===----------------------------------------------------------------------===//
// Fold Utilities
//===----------------------------------------------------------------------===//

/// Fold an index operation irrespective of the target bitwidth. The
/// operation must satisfy the property:
///
/// ```
/// trunc(f(a, b)) = f(trunc(a), trunc(b))
/// ```
///
/// For all values of `a` and `b`. The function accepts a lambda that computes
/// the integer result, which in turn must satisfy the above property.
static OpFoldResult foldBinaryOpUnchecked(
    ArrayRef<Attribute> operands,
    function_ref<std::optional<APInt>(const APInt &, const APInt &)>
        calculate) {
  assert(operands.size() == 2 && "binary operation expected 2 operands");
  auto lhs = dyn_cast_if_present<IntegerAttr>(operands[0]);
  auto rhs = dyn_cast_if_present<IntegerAttr>(operands[1]);
  if (!lhs || !rhs)
    return {};

  std::optional<APInt> result = calculate(lhs.getValue(), rhs.getValue());
  if (!result)
    return {};
  assert(result->trunc(32) ==
         calculate(lhs.getValue().trunc(32), rhs.getValue().trunc(32)));
  return IntegerAttr::get(IndexType::get(lhs.getContext()), *result);
}

/// Fold an index operation only if the truncated 64-bit result matches the
/// 32-bit result for operations that don't satisfy the above property. These
/// are operations where the upper bits of the operands can affect the lower
/// bits of the results.
///
/// The function accepts a lambda that computes the integer result in both
/// 64-bit and 32-bit. If either call returns `std::nullopt`, the operation is
/// not folded.
static OpFoldResult foldBinaryOpChecked(
    ArrayRef<Attribute> operands,
    function_ref<std::optional<APInt>(const APInt &, const APInt &lhs)>
        calculate) {
  assert(operands.size() == 2 && "binary operation expected 2 operands");
  auto lhs = dyn_cast_if_present<IntegerAttr>(operands[0]);
  auto rhs = dyn_cast_if_present<IntegerAttr>(operands[1]);
  // Only fold index operands.
  if (!lhs || !rhs)
    return {};

  // Compute the 64-bit result and the 32-bit result.
  std::optional<APInt> result64 = calculate(lhs.getValue(), rhs.getValue());
  if (!result64)
    return {};
  std::optional<APInt> result32 =
      calculate(lhs.getValue().trunc(32), rhs.getValue().trunc(32));
  if (!result32)
    return {};
  // Compare the truncated 64-bit result to the 32-bit result.
  if (result64->trunc(32) != *result32)
    return {};
  // The operation can be folded for these particular operands.
  return IntegerAttr::get(IndexType::get(lhs.getContext()), *result64);
}

/// Helper for associative and commutative binary ops that can be transformed:
/// `x = op(v, c1); y = op(x, c2)` -> `tmp = op(c1, c2); y = op(v, tmp)`
/// where c1 and c2 are constants. It is expected that `tmp` will be folded.
template <typename BinaryOp>
LogicalResult
canonicalizeAssociativeCommutativeBinaryOp(BinaryOp op,
                                           PatternRewriter &rewriter) {
  if (!mlir::matchPattern(op.getRhs(), mlir::m_Constant()))
    return rewriter.notifyMatchFailure(op.getLoc(), "RHS is not a constant");

  auto lhsOp = op.getLhs().template getDefiningOp<BinaryOp>();
  if (!lhsOp)
    return rewriter.notifyMatchFailure(op.getLoc(), "LHS is not the same BinaryOp");

  if (!mlir::matchPattern(lhsOp.getRhs(), mlir::m_Constant()))
    return rewriter.notifyMatchFailure(op.getLoc(), "RHS of LHS op is not a constant");

  Value c = rewriter.createOrFold<BinaryOp>(op->getLoc(), op.getRhs(),
                                           lhsOp.getRhs());
  if (c.getDefiningOp<BinaryOp>())
    return rewriter.notifyMatchFailure(op.getLoc(), "new BinaryOp was not folded");

  rewriter.replaceOpWithNewOp<BinaryOp>(op, lhsOp.getLhs(), c);
  return success();
}

//===----------------------------------------------------------------------===//
// AddOp
//===----------------------------------------------------------------------===//

OpFoldResult AddOp::fold(FoldAdaptor adaptor) {
  if (OpFoldResult result = foldBinaryOpUnchecked(
          adaptor.getOperands(),
          [](const APInt &lhs, const APInt &rhs) { return lhs + rhs; }))
    return result;

  if (auto rhs = dyn_cast_or_null<IntegerAttr>(adaptor.getRhs())) {
    // Fold `add(x, 0) -> x`.
    if (rhs.getValue().isZero())
      return getLhs();
  }

  return {};
}

LogicalResult AddOp::canonicalize(AddOp op, PatternRewriter &rewriter) {
  return canonicalizeAssociativeCommutativeBinaryOp(op, rewriter);
}

//===----------------------------------------------------------------------===//
// SubOp
//===----------------------------------------------------------------------===//

OpFoldResult SubOp::fold(FoldAdaptor adaptor) {
  if (OpFoldResult result = foldBinaryOpUnchecked(
          adaptor.getOperands(),
          [](const APInt &lhs, const APInt &rhs) { return lhs - rhs; }))
    return result;

  if (auto rhs = dyn_cast_or_null<IntegerAttr>(adaptor.getRhs())) {
    // Fold `sub(x, 0) -> x`.
    if (rhs.getValue().isZero())
      return getLhs();
  }

  return {};
}

//===----------------------------------------------------------------------===//
// MulOp
//===----------------------------------------------------------------------===//

OpFoldResult MulOp::fold(FoldAdaptor adaptor) {
  if (OpFoldResult result = foldBinaryOpUnchecked(
          adaptor.getOperands(),
          [](const APInt &lhs, const APInt &rhs) { return lhs * rhs; }))
    return result;

  if (auto rhs = dyn_cast_or_null<IntegerAttr>(adaptor.getRhs())) {
    // Fold `mul(x, 1) -> x`.
    if (rhs.getValue().isOne())
      return getLhs();
    // Fold `mul(x, 0) -> 0`.
    if (rhs.getValue().isZero())
      return rhs;
  }

  return {};
}

LogicalResult MulOp::canonicalize(MulOp op, PatternRewriter &rewriter) {
  return canonicalizeAssociativeCommutativeBinaryOp(op, rewriter);
}

//===----------------------------------------------------------------------===//
// DivSOp
//===----------------------------------------------------------------------===//

OpFoldResult DivSOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) -> std::optional<APInt> {
        // Don't fold division by zero.
        if (rhs.isZero())
          return std::nullopt;
        return lhs.sdiv(rhs);
      });
}

//===----------------------------------------------------------------------===//
// DivUOp
//===----------------------------------------------------------------------===//

OpFoldResult DivUOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) -> std::optional<APInt> {
        // Don't fold division by zero.
        if (rhs.isZero())
          return std::nullopt;
        return lhs.udiv(rhs);
      });
}

//===----------------------------------------------------------------------===//
// CeilDivSOp
//===----------------------------------------------------------------------===//

/// Compute `ceildivs(n, m)` as `x = m > 0 ? -1 : 1` and then
/// `n*m > 0 ? (n+x)/m + 1 : -(-n/m)`.
static std::optional<APInt> calculateCeilDivS(const APInt &n, const APInt &m) {
  // Don't fold division by zero.
  if (m.isZero())
    return std::nullopt;
  // Short-circuit the zero case.
  if (n.isZero())
    return n;

  bool mGtZ = m.sgt(0);
  if (n.sgt(0) != mGtZ) {
    // If the operands have different signs, compute the negative result. Signed
    // division overflow is not possible, since if `m == -1`, `n` can be at most
    // `INT_MAX`, and `-INT_MAX != INT_MIN` in two's complement.
    return -(-n).sdiv(m);
  }
  // Otherwise, compute the positive result. Signed division overflow is not
  // possible since if `m == -1`, `x` will be `1`.
  int64_t x = mGtZ ? -1 : 1;
  return (n + x).sdiv(m) + 1;
}

OpFoldResult CeilDivSOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(adaptor.getOperands(), calculateCeilDivS);
}

//===----------------------------------------------------------------------===//
// CeilDivUOp
//===----------------------------------------------------------------------===//

OpFoldResult CeilDivUOp::fold(FoldAdaptor adaptor) {
  // Compute `ceildivu(n, m)` as `n == 0 ? 0 : (n-1)/m + 1`.
  return foldBinaryOpChecked(
      adaptor.getOperands(),
      [](const APInt &n, const APInt &m) -> std::optional<APInt> {
        // Don't fold division by zero.
        if (m.isZero())
          return std::nullopt;
        // Short-circuit the zero case.
        if (n.isZero())
          return n;

        return (n - 1).udiv(m) + 1;
      });
}

//===----------------------------------------------------------------------===//
// FloorDivSOp
//===----------------------------------------------------------------------===//

/// Compute `floordivs(n, m)` as `x = m < 0 ? 1 : -1` and then
/// `n*m < 0 ? -1 - (x-n)/m : n/m`.
static std::optional<APInt> calculateFloorDivS(const APInt &n, const APInt &m) {
  // Don't fold division by zero.
  if (m.isZero())
    return std::nullopt;
  // Short-circuit the zero case.
  if (n.isZero())
    return n;

  bool mLtZ = m.slt(0);
  if (n.slt(0) == mLtZ) {
    // If the operands have the same sign, compute the positive result.
    return n.sdiv(m);
  }
  // If the operands have different signs, compute the negative result. Signed
  // division overflow is not possible since if `m == -1`, `x` will be 1 and
  // `n` can be at most `INT_MAX`.
  int64_t x = mLtZ ? 1 : -1;
  return -1 - (x - n).sdiv(m);
}

OpFoldResult FloorDivSOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(adaptor.getOperands(), calculateFloorDivS);
}

//===----------------------------------------------------------------------===//
// RemSOp
//===----------------------------------------------------------------------===//

OpFoldResult RemSOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) -> std::optional<APInt> {
        // Don't fold division by zero.
        if (rhs.isZero())
          return std::nullopt;
        return lhs.srem(rhs);
      });
}

//===----------------------------------------------------------------------===//
// RemUOp
//===----------------------------------------------------------------------===//

OpFoldResult RemUOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) -> std::optional<APInt> {
        // Don't fold division by zero.
        if (rhs.isZero())
          return std::nullopt;
        return lhs.urem(rhs);
      });
}

//===----------------------------------------------------------------------===//
// MaxSOp
//===----------------------------------------------------------------------===//

OpFoldResult MaxSOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(adaptor.getOperands(),
                             [](const APInt &lhs, const APInt &rhs) {
                               return lhs.sgt(rhs) ? lhs : rhs;
                             });
}

LogicalResult MaxSOp::canonicalize(MaxSOp op, PatternRewriter &rewriter) {
  return canonicalizeAssociativeCommutativeBinaryOp(op, rewriter);
}

//===----------------------------------------------------------------------===//
// MaxUOp
//===----------------------------------------------------------------------===//

OpFoldResult MaxUOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(adaptor.getOperands(),
                             [](const APInt &lhs, const APInt &rhs) {
                               return lhs.ugt(rhs) ? lhs : rhs;
                             });
}

LogicalResult MaxUOp::canonicalize(MaxUOp op, PatternRewriter &rewriter) {
  return canonicalizeAssociativeCommutativeBinaryOp(op, rewriter);
}

//===----------------------------------------------------------------------===//
// MinSOp
//===----------------------------------------------------------------------===//

OpFoldResult MinSOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(adaptor.getOperands(),
                             [](const APInt &lhs, const APInt &rhs) {
                               return lhs.slt(rhs) ? lhs : rhs;
                             });
}

LogicalResult MinSOp::canonicalize(MinSOp op, PatternRewriter &rewriter) {
  return canonicalizeAssociativeCommutativeBinaryOp(op, rewriter);
}

//===----------------------------------------------------------------------===//
// MinUOp
//===----------------------------------------------------------------------===//

OpFoldResult MinUOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(adaptor.getOperands(),
                             [](const APInt &lhs, const APInt &rhs) {
                               return lhs.ult(rhs) ? lhs : rhs;
                             });
}

LogicalResult MinUOp::canonicalize(MinUOp op, PatternRewriter &rewriter) {
  return canonicalizeAssociativeCommutativeBinaryOp(op, rewriter);
}

//===----------------------------------------------------------------------===//
// ShlOp
//===----------------------------------------------------------------------===//

OpFoldResult ShlOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpUnchecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) -> std::optional<APInt> {
        // We cannot fold if the RHS is greater than or equal to 32 because
        // this would be UB in 32-bit systems but not on 64-bit systems. RHS is
        // already treated as unsigned.
        if (rhs.uge(32))
          return {};
        return lhs << rhs;
      });
}

//===----------------------------------------------------------------------===//
// ShrSOp
//===----------------------------------------------------------------------===//

OpFoldResult ShrSOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) -> std::optional<APInt> {
        // Don't fold if RHS is greater than or equal to 32.
        if (rhs.uge(32))
          return {};
        return lhs.ashr(rhs);
      });
}

//===----------------------------------------------------------------------===//
// ShrUOp
//===----------------------------------------------------------------------===//

OpFoldResult ShrUOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpChecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) -> std::optional<APInt> {
        // Don't fold if RHS is greater than or equal to 32.
        if (rhs.uge(32))
          return {};
        return lhs.lshr(rhs);
      });
}

//===----------------------------------------------------------------------===//
// AndOp
//===----------------------------------------------------------------------===//

OpFoldResult AndOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpUnchecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) { return lhs & rhs; });
}

LogicalResult AndOp::canonicalize(AndOp op, PatternRewriter &rewriter) {
  return canonicalizeAssociativeCommutativeBinaryOp(op, rewriter);
}

//===----------------------------------------------------------------------===//
// OrOp
//===----------------------------------------------------------------------===//

OpFoldResult OrOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpUnchecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) { return lhs | rhs; });
}

LogicalResult OrOp::canonicalize(OrOp op, PatternRewriter &rewriter) {
  return canonicalizeAssociativeCommutativeBinaryOp(op, rewriter);
}

//===----------------------------------------------------------------------===//
// XOrOp
//===----------------------------------------------------------------------===//

OpFoldResult XOrOp::fold(FoldAdaptor adaptor) {
  return foldBinaryOpUnchecked(
      adaptor.getOperands(),
      [](const APInt &lhs, const APInt &rhs) { return lhs ^ rhs; });
}

LogicalResult XOrOp::canonicalize(XOrOp op, PatternRewriter &rewriter) {
  return canonicalizeAssociativeCommutativeBinaryOp(op, rewriter);
}

//===----------------------------------------------------------------------===//
// CastSOp
//===----------------------------------------------------------------------===//

static OpFoldResult
foldCastOp(Attribute input, Type type,
           function_ref<APInt(const APInt &, unsigned)> extFn,
           function_ref<APInt(const APInt &, unsigned)> extOrTruncFn) {
  auto attr = dyn_cast_if_present<IntegerAttr>(input);
  if (!attr)
    return {};
  const APInt &value = attr.getValue();

  if (isa<IndexType>(type)) {
    // When casting to an index type, perform the cast assuming a 64-bit target.
    // The result can be truncated to 32 bits as needed and always be correct.
    // This is because `cast32(cast64(value)) == cast32(value)`.
    APInt result = extOrTruncFn(value, 64);
    return IntegerAttr::get(type, result);
  }

  // When casting from an index type, we must ensure the results respect
  // `cast_t(value) == cast_t(trunc32(value))`.
  auto intType = cast<IntegerType>(type);
  unsigned width = intType.getWidth();

  // If the result type is at most 32 bits, then the cast can always be folded
  // because it is always a truncation.
  if (width <= 32) {
    APInt result = value.trunc(width);
    return IntegerAttr::get(type, result);
  }

  // If the result type is at least 64 bits, then the cast is always a
  // extension. The results will differ if `trunc32(value) != value)`.
  if (width >= 64) {
    if (extFn(value.trunc(32), 64) != value)
      return {};
    APInt result = extFn(value, width);
    return IntegerAttr::get(type, result);
  }

  // Otherwise, we just have to check the property directly.
  APInt result = value.trunc(width);
  if (result != extFn(value.trunc(32), width))
    return {};
  return IntegerAttr::get(type, result);
}

bool CastSOp::areCastCompatible(TypeRange lhsTypes, TypeRange rhsTypes) {
  return llvm::isa<IndexType>(lhsTypes.front()) !=
         llvm::isa<IndexType>(rhsTypes.front());
}

OpFoldResult CastSOp::fold(FoldAdaptor adaptor) {
  return foldCastOp(
      adaptor.getInput(), getType(),
      [](const APInt &x, unsigned width) { return x.sext(width); },
      [](const APInt &x, unsigned width) { return x.sextOrTrunc(width); });
}

//===----------------------------------------------------------------------===//
// CastUOp
//===----------------------------------------------------------------------===//

bool CastUOp::areCastCompatible(TypeRange lhsTypes, TypeRange rhsTypes) {
  return llvm::isa<IndexType>(lhsTypes.front()) !=
         llvm::isa<IndexType>(rhsTypes.front());
}

OpFoldResult CastUOp::fold(FoldAdaptor adaptor) {
  return foldCastOp(
      adaptor.getInput(), getType(),
      [](const APInt &x, unsigned width) { return x.zext(width); },
      [](const APInt &x, unsigned width) { return x.zextOrTrunc(width); });
}

//===----------------------------------------------------------------------===//
// CmpOp
//===----------------------------------------------------------------------===//

/// Compare two integers according to the comparison predicate.
bool compareIndices(const APInt &lhs, const APInt &rhs,
                    IndexCmpPredicate pred) {
  switch (pred) {
  case IndexCmpPredicate::EQ:
    return lhs.eq(rhs);
  case IndexCmpPredicate::NE:
    return lhs.ne(rhs);
  case IndexCmpPredicate::SGE:
    return lhs.sge(rhs);
  case IndexCmpPredicate::SGT:
    return lhs.sgt(rhs);
  case IndexCmpPredicate::SLE:
    return lhs.sle(rhs);
  case IndexCmpPredicate::SLT:
    return lhs.slt(rhs);
  case IndexCmpPredicate::UGE:
    return lhs.uge(rhs);
  case IndexCmpPredicate::UGT:
    return lhs.ugt(rhs);
  case IndexCmpPredicate::ULE:
    return lhs.ule(rhs);
  case IndexCmpPredicate::ULT:
    return lhs.ult(rhs);
  }
  llvm_unreachable("unhandled IndexCmpPredicate predicate");
}

/// `cmp(max/min(x, cstA), cstB)` can be folded to a constant depending on the
/// values of `cstA` and `cstB`, the max or min operation, and the comparison
/// predicate. Check whether the value folds in both 32-bit and 64-bit
/// arithmetic and to the same value.
static std::optional<bool> foldCmpOfMaxOrMin(Operation *lhsOp,
                                             const APInt &cstA,
                                             const APInt &cstB, unsigned width,
                                             IndexCmpPredicate pred) {
  ConstantIntRanges lhsRange = TypeSwitch<Operation *, ConstantIntRanges>(lhsOp)
                                   .Case([&](MinSOp op) {
                                     return ConstantIntRanges::fromSigned(
                                         APInt::getSignedMinValue(width), cstA);
                                   })
                                   .Case([&](MinUOp op) {
                                     return ConstantIntRanges::fromUnsigned(
                                         APInt::getMinValue(width), cstA);
                                   })
                                   .Case([&](MaxSOp op) {
                                     return ConstantIntRanges::fromSigned(
                                         cstA, APInt::getSignedMaxValue(width));
                                   })
                                   .Case([&](MaxUOp op) {
                                     return ConstantIntRanges::fromUnsigned(
                                         cstA, APInt::getMaxValue(width));
                                   });
  return intrange::evaluatePred(static_cast<intrange::CmpPredicate>(pred),
                                lhsRange, ConstantIntRanges::constant(cstB));
}

/// Return the result of `cmp(pred, x, x)`
static bool compareSameArgs(IndexCmpPredicate pred) {
  switch (pred) {
  case IndexCmpPredicate::EQ:
  case IndexCmpPredicate::SGE:
  case IndexCmpPredicate::SLE:
  case IndexCmpPredicate::UGE:
  case IndexCmpPredicate::ULE:
    return true;
  case IndexCmpPredicate::NE:
  case IndexCmpPredicate::SGT:
  case IndexCmpPredicate::SLT:
  case IndexCmpPredicate::UGT:
  case IndexCmpPredicate::ULT:
    return false;
  }
  llvm_unreachable("unknown predicate in compareSameArgs");
}

OpFoldResult CmpOp::fold(FoldAdaptor adaptor) {
  // Attempt to fold if both inputs are constant.
  auto lhs = dyn_cast_if_present<IntegerAttr>(adaptor.getLhs());
  auto rhs = dyn_cast_if_present<IntegerAttr>(adaptor.getRhs());
  if (lhs && rhs) {
    // Perform the comparison in 64-bit and 32-bit.
    bool result64 = compareIndices(lhs.getValue(), rhs.getValue(), getPred());
    bool result32 = compareIndices(lhs.getValue().trunc(32),
                                   rhs.getValue().trunc(32), getPred());
    if (result64 == result32)
      return BoolAttr::get(getContext(), result64);
  }

  // Fold `cmp(max/min(x, cstA), cstB)`.
  Operation *lhsOp = getLhs().getDefiningOp();
  IntegerAttr cstA;
  if (isa_and_nonnull<MinSOp, MinUOp, MaxSOp, MaxUOp>(lhsOp) &&
      matchPattern(lhsOp->getOperand(1), m_Constant(&cstA)) && rhs) {
    std::optional<bool> result64 = foldCmpOfMaxOrMin(
        lhsOp, cstA.getValue(), rhs.getValue(), 64, getPred());
    std::optional<bool> result32 =
        foldCmpOfMaxOrMin(lhsOp, cstA.getValue().trunc(32),
                          rhs.getValue().trunc(32), 32, getPred());
    // Fold if the 32-bit and 64-bit results are the same.
    if (result64 && result32 && *result64 == *result32)
      return BoolAttr::get(getContext(), *result64);
  }

  // Fold `cmp(x, x)`
  if (getLhs() == getRhs())
    return BoolAttr::get(getContext(), compareSameArgs(getPred()));

  return {};
}

/// Canonicalize
/// `x - y cmp 0` to `x cmp y`. or `x - y cmp 0` to `x cmp y`.
/// `0 cmp x - y` to `y cmp x`. or `0 cmp x - y` to `y cmp x`.
LogicalResult CmpOp::canonicalize(CmpOp op, PatternRewriter &rewriter) {
  IntegerAttr cmpRhs;
  IntegerAttr cmpLhs;

  bool rhsIsZero = matchPattern(op.getRhs(), m_Constant(&cmpRhs)) &&
                   cmpRhs.getValue().isZero();
  bool lhsIsZero = matchPattern(op.getLhs(), m_Constant(&cmpLhs)) &&
                   cmpLhs.getValue().isZero();
  if (!rhsIsZero && !lhsIsZero)
    return rewriter.notifyMatchFailure(op.getLoc(),
                                       "cmp is not comparing something with 0");
  SubOp subOp = rhsIsZero ? op.getLhs().getDefiningOp<index::SubOp>()
                          : op.getRhs().getDefiningOp<index::SubOp>();
  if (!subOp)
    return rewriter.notifyMatchFailure(
        op.getLoc(), "non-zero operand is not a result of subtraction");

  index::CmpOp newCmp;
  if (rhsIsZero)
    newCmp = rewriter.create<index::CmpOp>(op.getLoc(), op.getPred(),
                                           subOp.getLhs(), subOp.getRhs());
  else
    newCmp = rewriter.create<index::CmpOp>(op.getLoc(), op.getPred(),
                                           subOp.getRhs(), subOp.getLhs());
  rewriter.replaceOp(op, newCmp);
  return success();
}

//===----------------------------------------------------------------------===//
// ConstantOp
//===----------------------------------------------------------------------===//

void ConstantOp::getAsmResultNames(
    function_ref<void(Value, StringRef)> setNameFn) {
  SmallString<32> specialNameBuffer;
  llvm::raw_svector_ostream specialName(specialNameBuffer);
  specialName << "idx" << getValueAttr().getValue();
  setNameFn(getResult(), specialName.str());
}

OpFoldResult ConstantOp::fold(FoldAdaptor adaptor) { return getValueAttr(); }

void ConstantOp::build(OpBuilder &b, OperationState &state, int64_t value) {
  build(b, state, b.getIndexType(), b.getIndexAttr(value));
}

//===----------------------------------------------------------------------===//
// BoolConstantOp
//===----------------------------------------------------------------------===//

OpFoldResult BoolConstantOp::fold(FoldAdaptor adaptor) {
  return getValueAttr();
}

void BoolConstantOp::getAsmResultNames(
    function_ref<void(Value, StringRef)> setNameFn) {
  setNameFn(getResult(), getValue() ? "true" : "false");
}

//===----------------------------------------------------------------------===//
// ODS-Generated Definitions
//===----------------------------------------------------------------------===//

#define GET_OP_CLASSES
#include "mlir/Dialect/Index/IR/IndexOps.cpp.inc"