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//===- SimplifyAffineWithBounds.cpp ---------------------------------------===//
//
// 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
//
//===----------------------------------------------------------------------===//
//
// This file implements simplification patterns for affine.delinearize_index /
// affine.linearize_index pairs using value bounds analysis.
//
//===----------------------------------------------------------------------===//
#include "mlir/Dialect/Affine/Transforms/Passes.h"
#include "mlir/Dialect/Affine/IR/AffineOps.h"
#include "mlir/Dialect/Affine/Transforms/Transforms.h"
#include "mlir/Dialect/Arith/IR/Arith.h"
#include "mlir/Dialect/Utils/StaticValueUtils.h"
#include "mlir/IR/PatternMatch.h"
#include "mlir/Interfaces/ValueBoundsOpInterface.h"
#include "mlir/Transforms/GreedyPatternRewriteDriver.h"
#define DEBUG_TYPE "affine-simplify-with-bounds"
using namespace mlir;
using namespace mlir::affine;
/// Accumulate a single basis element into the running product expression.
/// Static values become affine constants, and dynamic values become symbols.
static void buildProductExpr(OpFoldResult basis, AffineExpr &productExpr,
SmallVectorImpl<Value> &operands,
MLIRContext *ctx) {
if (auto val = getConstantIntValue(basis)) {
productExpr = productExpr * getAffineConstantExpr(*val, ctx);
} else {
operands.push_back(cast<Value>(basis));
productExpr = productExpr * getAffineSymbolExpr(operands.size() - 1, ctx);
}
}
/// Try to find k consecutive elements from `lhs` (starting from tail offset)
/// whose product equals the single next element from `rhs`.
/// The product is accumulated incrementally to avoid redundant computation.
/// Returns the number of matched elements k, or std::nullopt if no match.
static std::optional<size_t> tryMatchProduct(ArrayRef<OpFoldResult> lhs,
size_t lhsTailConsumed,
ArrayRef<OpFoldResult> rhs,
size_t rhsTailConsumed,
MLIRContext *ctx) {
// Build a Variable for the single rhs element.
AffineExpr rhsExpr = getAffineConstantExpr(1, ctx);
SmallVector<Value> rhsOperands;
buildProductExpr(rhs[rhs.size() - rhsTailConsumed - 1], rhsExpr, rhsOperands,
ctx);
ValueBoundsConstraintSet::Variable rhsVar(
AffineMap::get(0, rhsOperands.size(), rhsExpr, ctx), rhsOperands);
// Incrementally accumulate lhs product and check for equality.
AffineExpr lhsExpr = getAffineConstantExpr(1, ctx);
SmallVector<Value> lhsOperands;
for (size_t k = 1; k + lhsTailConsumed <= lhs.size(); ++k) {
buildProductExpr(lhs[lhs.size() - lhsTailConsumed - k], lhsExpr,
lhsOperands, ctx);
AffineMap lhsMap = AffineMap::get(0, lhsOperands.size(), lhsExpr, ctx);
ValueBoundsConstraintSet::Variable lhsVar(lhsMap, lhsOperands);
FailureOr<bool> result = ValueBoundsConstraintSet::areEqual(lhsVar, rhsVar);
if (succeeded(result) && *result)
return k;
}
return std::nullopt;
}
namespace {
/// Simplify delinearize(linearize) pairs from the tail by matching groups of
/// dimensions whose basis products are equal via ValueBounds analysis.
///
/// For each step from the tail, tries:
/// 1. Many-to-one: k linearize dims -> 1 delinearize dim
/// 2. One-to-many: 1 linearize dim -> k delinearize dims
///
/// Matched trailing dimensions are peeled off. Unmatched prefix dimensions
/// are left as residual linearize/delinearize operations.
///
/// Example (many-to-one, D*E == Z):
/// %lin = affine.linearize_index disjoint [%a, %b, %c, %d, %e]
/// by (A, B, C, D, E)
/// %result:3 = affine.delinearize_index %lin into (X, Y, Z)
/// ->
/// %prefix_lin = affine.linearize_index disjoint [%a, %b, %c] by (A, B, C)
/// %prefix:2 = affine.delinearize_index %prefix_lin into (X, Y)
/// %tail = affine.linearize_index disjoint [%d, %e] by (D, E)
/// %result = [%prefix#0, %prefix#1, %tail]
struct SimplifyDelinearizeOfLinearizeDisjoint final
: OpRewritePattern<AffineDelinearizeIndexOp> {
using Base::Base;
LogicalResult matchAndRewrite(AffineDelinearizeIndexOp delinearizeOp,
PatternRewriter &rewriter) const override {
auto linearizeOp =
delinearizeOp.getLinearIndex().getDefiningOp<AffineLinearizeIndexOp>();
if (!linearizeOp)
return rewriter.notifyMatchFailure(delinearizeOp,
"index doesn't come from linearize");
if (!linearizeOp.getDisjoint())
return rewriter.notifyMatchFailure(linearizeOp, "not disjoint");
SmallVector<OpFoldResult> linBasis = linearizeOp.getMixedBasis();
SmallVector<OpFoldResult> delinBasis = delinearizeOp.getMixedBasis();
ValueRange linInputs = linearizeOp.getMultiIndex();
MLIRContext *ctx = rewriter.getContext();
// Track how many elements consumed from each tail.
size_t linTailConsumed = 0;
size_t delinTailConsumed = 0;
// For each matched group (innermost first), record the number of
// linearize and delinearize dimensions it spans. Many-to-one groups
// have linCount > 1, one-to-many groups have delinCount > 1.
SmallVector<std::pair<size_t, size_t>> matchedGroups;
while (linTailConsumed < linBasis.size() &&
delinTailConsumed < delinBasis.size()) {
// Try many-to-one: k lin dims -> 1 delin dim.
if (std::optional<size_t> k = tryMatchProduct(
linBasis, linTailConsumed, delinBasis, delinTailConsumed, ctx)) {
matchedGroups.emplace_back(*k, 1);
linTailConsumed += *k;
delinTailConsumed += 1;
continue;
}
// Try one-to-many: 1 lin dim -> k delin dims.
if (std::optional<size_t> k = tryMatchProduct(
delinBasis, delinTailConsumed, linBasis, linTailConsumed, ctx)) {
matchedGroups.emplace_back(1, *k);
delinTailConsumed += *k;
linTailConsumed += 1;
continue;
}
break;
}
if (matchedGroups.empty())
return rewriter.notifyMatchFailure(delinearizeOp,
"no trailing dimensions matched");
SmallVector<Value> results;
// Build residual prefix ops for unmatched dimensions.
if (delinTailConsumed < delinBasis.size()) {
// Partial match: create residual linearize + delinearize for the
// unmatched prefix.
Value residualLinearize = AffineLinearizeIndexOp::create(
rewriter, linearizeOp.getLoc(), linInputs.drop_back(linTailConsumed),
ArrayRef(linBasis).drop_back(linTailConsumed),
linearizeOp.getDisjoint());
auto residualDelinearize = AffineDelinearizeIndexOp::create(
rewriter, delinearizeOp.getLoc(), residualLinearize,
ArrayRef(delinBasis).drop_back(delinTailConsumed),
delinearizeOp.hasOuterBound());
results.append(residualDelinearize.getResults().begin(),
residualDelinearize.getResults().end());
} else if (!delinearizeOp.hasOuterBound()) {
// All basis elements consumed, but the original delinearize has no outer
// bound which requires special handling.
ValueRange remainingInputs = linInputs.drop_back(linTailConsumed);
if (remainingInputs.empty()) {
// The outermost delinearize result is guaranteed to be zero.
results.push_back(arith::ConstantIndexOp::create(
rewriter, delinearizeOp.getLoc(), 0));
} else if (remainingInputs.size() == 1) {
// Pass through the single remaining input.
results.push_back(remainingInputs.front());
} else {
// Re-linearize the remaining inputs to produce the outermost result.
Value newLin = AffineLinearizeIndexOp::create(
rewriter, linearizeOp.getLoc(), remainingInputs,
ArrayRef(linBasis).drop_back(linTailConsumed),
linearizeOp.getDisjoint());
results.push_back(newLin);
}
}
// Build results for each matched group.
size_t linInputOffset = linInputs.size() - linTailConsumed;
size_t linBasisOffset = linBasis.size() - linTailConsumed;
size_t delinBasisOffset = delinBasis.size() - delinTailConsumed;
for (auto [linCount, delinCount] : llvm::reverse(matchedGroups)) {
if (linCount == 1 && delinCount == 1) {
// Exact 1:1 match: pass through directly.
results.push_back(linInputs[linInputOffset]);
} else if (linCount > 1) {
// Many-to-one: re-linearize the group's lin inputs.
Value newLin = AffineLinearizeIndexOp::create(
rewriter, linearizeOp.getLoc(),
linInputs.slice(linInputOffset, linCount),
ArrayRef(linBasis).slice(linBasisOffset, linCount),
/*disjoint=*/true);
results.push_back(newLin);
} else {
// One-to-many: delinearize the single lin input.
auto newDelin = AffineDelinearizeIndexOp::create(
rewriter, delinearizeOp.getLoc(), linInputs[linInputOffset],
ArrayRef(delinBasis).slice(delinBasisOffset, delinCount),
/*hasOuterBound=*/true);
results.append(newDelin.getResults().begin(),
newDelin.getResults().end());
}
linInputOffset += linCount;
linBasisOffset += linCount;
delinBasisOffset += delinCount;
}
rewriter.replaceOp(delinearizeOp, results);
return success();
}
};
} // namespace
void affine::populateSimplifyAffineWithBoundsPatterns(
RewritePatternSet &patterns) {
patterns.add<SimplifyDelinearizeOfLinearizeDisjoint>(patterns.getContext());
}
//===----------------------------------------------------------------------===//
// Pass definition
//===----------------------------------------------------------------------===//
namespace mlir {
namespace affine {
#define GEN_PASS_DEF_SIMPLIFYAFFINEWITHBOUNDS
#include "mlir/Dialect/Affine/Transforms/Passes.h.inc"
} // namespace affine
} // namespace mlir
namespace {
struct SimplifyAffineWithBoundsPass
: affine::impl::SimplifyAffineWithBoundsBase<SimplifyAffineWithBoundsPass> {
void runOnOperation() override {
RewritePatternSet patterns(&getContext());
// Add canonicalization patterns first so cheap exact-match cases are
// handled without invoking value bounds analysis.
AffineDelinearizeIndexOp::getCanonicalizationPatterns(patterns,
&getContext());
AffineLinearizeIndexOp::getCanonicalizationPatterns(patterns,
&getContext());
populateSimplifyAffineWithBoundsPatterns(patterns);
if (failed(applyPatternsGreedily(getOperation(), std::move(patterns))))
return signalPassFailure();
}
};
} // namespace