623 lines
30 KiB
C++
623 lines
30 KiB
C++
//===- ComplexToStandard.cpp - conversion from Complex to Standard dialect ===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#include "mlir/Conversion/ComplexToStandard/ComplexToStandard.h"
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#include <memory>
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#include <type_traits>
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#include "../PassDetail.h"
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#include "mlir/Dialect/Complex/IR/Complex.h"
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#include "mlir/Dialect/Math/IR/Math.h"
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#include "mlir/Dialect/StandardOps/IR/Ops.h"
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#include "mlir/IR/ImplicitLocOpBuilder.h"
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#include "mlir/IR/PatternMatch.h"
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#include "mlir/Transforms/DialectConversion.h"
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using namespace mlir;
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namespace {
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struct AbsOpConversion : public OpConversionPattern<complex::AbsOp> {
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using OpConversionPattern<complex::AbsOp>::OpConversionPattern;
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LogicalResult
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matchAndRewrite(complex::AbsOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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complex::AbsOp::Adaptor transformed(operands);
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auto loc = op.getLoc();
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auto type = op.getType();
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Value real =
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rewriter.create<complex::ReOp>(loc, type, transformed.complex());
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Value imag =
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rewriter.create<complex::ImOp>(loc, type, transformed.complex());
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Value realSqr = rewriter.create<MulFOp>(loc, real, real);
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Value imagSqr = rewriter.create<MulFOp>(loc, imag, imag);
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Value sqNorm = rewriter.create<AddFOp>(loc, realSqr, imagSqr);
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rewriter.replaceOpWithNewOp<math::SqrtOp>(op, sqNorm);
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return success();
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}
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};
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template <typename ComparisonOp, CmpFPredicate p>
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struct ComparisonOpConversion : public OpConversionPattern<ComparisonOp> {
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using OpConversionPattern<ComparisonOp>::OpConversionPattern;
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using ResultCombiner =
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std::conditional_t<std::is_same<ComparisonOp, complex::EqualOp>::value,
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AndOp, OrOp>;
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LogicalResult
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matchAndRewrite(ComparisonOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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typename ComparisonOp::Adaptor transformed(operands);
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auto loc = op.getLoc();
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auto type = transformed.lhs()
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.getType()
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.template cast<ComplexType>()
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.getElementType();
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Value realLhs =
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rewriter.create<complex::ReOp>(loc, type, transformed.lhs());
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Value imagLhs =
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rewriter.create<complex::ImOp>(loc, type, transformed.lhs());
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Value realRhs =
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rewriter.create<complex::ReOp>(loc, type, transformed.rhs());
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Value imagRhs =
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rewriter.create<complex::ImOp>(loc, type, transformed.rhs());
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Value realComparison = rewriter.create<CmpFOp>(loc, p, realLhs, realRhs);
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Value imagComparison = rewriter.create<CmpFOp>(loc, p, imagLhs, imagRhs);
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rewriter.replaceOpWithNewOp<ResultCombiner>(op, realComparison,
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imagComparison);
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return success();
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}
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};
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// Default conversion which applies the BinaryStandardOp separately on the real
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// and imaginary parts. Can for example be used for complex::AddOp and
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// complex::SubOp.
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template <typename BinaryComplexOp, typename BinaryStandardOp>
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struct BinaryComplexOpConversion : public OpConversionPattern<BinaryComplexOp> {
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using OpConversionPattern<BinaryComplexOp>::OpConversionPattern;
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LogicalResult
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matchAndRewrite(BinaryComplexOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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typename BinaryComplexOp::Adaptor transformed(operands);
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auto type = transformed.lhs().getType().template cast<ComplexType>();
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auto elementType = type.getElementType().template cast<FloatType>();
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mlir::ImplicitLocOpBuilder b(op.getLoc(), rewriter);
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Value realLhs = b.create<complex::ReOp>(elementType, transformed.lhs());
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Value realRhs = b.create<complex::ReOp>(elementType, transformed.rhs());
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Value resultReal =
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b.create<BinaryStandardOp>(elementType, realLhs, realRhs);
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Value imagLhs = b.create<complex::ImOp>(elementType, transformed.lhs());
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Value imagRhs = b.create<complex::ImOp>(elementType, transformed.rhs());
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Value resultImag =
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b.create<BinaryStandardOp>(elementType, imagLhs, imagRhs);
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rewriter.replaceOpWithNewOp<complex::CreateOp>(op, type, resultReal,
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resultImag);
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return success();
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}
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};
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struct DivOpConversion : public OpConversionPattern<complex::DivOp> {
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using OpConversionPattern<complex::DivOp>::OpConversionPattern;
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LogicalResult
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matchAndRewrite(complex::DivOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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complex::DivOp::Adaptor transformed(operands);
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auto loc = op.getLoc();
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auto type = transformed.lhs().getType().cast<ComplexType>();
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auto elementType = type.getElementType().cast<FloatType>();
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Value lhsReal =
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rewriter.create<complex::ReOp>(loc, elementType, transformed.lhs());
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Value lhsImag =
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rewriter.create<complex::ImOp>(loc, elementType, transformed.lhs());
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Value rhsReal =
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rewriter.create<complex::ReOp>(loc, elementType, transformed.rhs());
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Value rhsImag =
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rewriter.create<complex::ImOp>(loc, elementType, transformed.rhs());
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// Smith's algorithm to divide complex numbers. It is just a bit smarter
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// way to compute the following formula:
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// (lhsReal + lhsImag * i) / (rhsReal + rhsImag * i)
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// = (lhsReal + lhsImag * i) (rhsReal - rhsImag * i) /
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// ((rhsReal + rhsImag * i)(rhsReal - rhsImag * i))
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// = ((lhsReal * rhsReal + lhsImag * rhsImag) +
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// (lhsImag * rhsReal - lhsReal * rhsImag) * i) / ||rhs||^2
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//
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// Depending on whether |rhsReal| < |rhsImag| we compute either
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// rhsRealImagRatio = rhsReal / rhsImag
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// rhsRealImagDenom = rhsImag + rhsReal * rhsRealImagRatio
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// resultReal = (lhsReal * rhsRealImagRatio + lhsImag) / rhsRealImagDenom
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// resultImag = (lhsImag * rhsRealImagRatio - lhsReal) / rhsRealImagDenom
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//
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// or
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//
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// rhsImagRealRatio = rhsImag / rhsReal
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// rhsImagRealDenom = rhsReal + rhsImag * rhsImagRealRatio
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// resultReal = (lhsReal + lhsImag * rhsImagRealRatio) / rhsImagRealDenom
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// resultImag = (lhsImag - lhsReal * rhsImagRealRatio) / rhsImagRealDenom
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//
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// See https://dl.acm.org/citation.cfm?id=368661 for more details.
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Value rhsRealImagRatio = rewriter.create<DivFOp>(loc, rhsReal, rhsImag);
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Value rhsRealImagDenom = rewriter.create<AddFOp>(
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loc, rhsImag, rewriter.create<MulFOp>(loc, rhsRealImagRatio, rhsReal));
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Value realNumerator1 = rewriter.create<AddFOp>(
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loc, rewriter.create<MulFOp>(loc, lhsReal, rhsRealImagRatio), lhsImag);
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Value resultReal1 =
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rewriter.create<DivFOp>(loc, realNumerator1, rhsRealImagDenom);
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Value imagNumerator1 = rewriter.create<SubFOp>(
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loc, rewriter.create<MulFOp>(loc, lhsImag, rhsRealImagRatio), lhsReal);
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Value resultImag1 =
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rewriter.create<DivFOp>(loc, imagNumerator1, rhsRealImagDenom);
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Value rhsImagRealRatio = rewriter.create<DivFOp>(loc, rhsImag, rhsReal);
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Value rhsImagRealDenom = rewriter.create<AddFOp>(
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loc, rhsReal, rewriter.create<MulFOp>(loc, rhsImagRealRatio, rhsImag));
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Value realNumerator2 = rewriter.create<AddFOp>(
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loc, lhsReal, rewriter.create<MulFOp>(loc, lhsImag, rhsImagRealRatio));
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Value resultReal2 =
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rewriter.create<DivFOp>(loc, realNumerator2, rhsImagRealDenom);
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Value imagNumerator2 = rewriter.create<SubFOp>(
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loc, lhsImag, rewriter.create<MulFOp>(loc, lhsReal, rhsImagRealRatio));
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Value resultImag2 =
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rewriter.create<DivFOp>(loc, imagNumerator2, rhsImagRealDenom);
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// Consider corner cases.
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// Case 1. Zero denominator, numerator contains at most one NaN value.
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Value zero = rewriter.create<ConstantOp>(loc, elementType,
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rewriter.getZeroAttr(elementType));
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Value rhsRealAbs = rewriter.create<AbsFOp>(loc, rhsReal);
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Value rhsRealIsZero =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::OEQ, rhsRealAbs, zero);
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Value rhsImagAbs = rewriter.create<AbsFOp>(loc, rhsImag);
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Value rhsImagIsZero =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::OEQ, rhsImagAbs, zero);
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Value lhsRealIsNotNaN =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::ORD, lhsReal, zero);
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Value lhsImagIsNotNaN =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::ORD, lhsImag, zero);
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Value lhsContainsNotNaNValue =
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rewriter.create<OrOp>(loc, lhsRealIsNotNaN, lhsImagIsNotNaN);
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Value resultIsInfinity = rewriter.create<AndOp>(
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loc, lhsContainsNotNaNValue,
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rewriter.create<AndOp>(loc, rhsRealIsZero, rhsImagIsZero));
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Value inf = rewriter.create<ConstantOp>(
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loc, elementType,
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rewriter.getFloatAttr(
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elementType, APFloat::getInf(elementType.getFloatSemantics())));
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Value infWithSignOfRhsReal = rewriter.create<CopySignOp>(loc, inf, rhsReal);
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Value infinityResultReal =
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rewriter.create<MulFOp>(loc, infWithSignOfRhsReal, lhsReal);
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Value infinityResultImag =
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rewriter.create<MulFOp>(loc, infWithSignOfRhsReal, lhsImag);
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// Case 2. Infinite numerator, finite denominator.
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Value rhsRealFinite =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::ONE, rhsRealAbs, inf);
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Value rhsImagFinite =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::ONE, rhsImagAbs, inf);
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Value rhsFinite = rewriter.create<AndOp>(loc, rhsRealFinite, rhsImagFinite);
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Value lhsRealAbs = rewriter.create<AbsFOp>(loc, lhsReal);
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Value lhsRealInfinite =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::OEQ, lhsRealAbs, inf);
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Value lhsImagAbs = rewriter.create<AbsFOp>(loc, lhsImag);
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Value lhsImagInfinite =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::OEQ, lhsImagAbs, inf);
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Value lhsInfinite =
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rewriter.create<OrOp>(loc, lhsRealInfinite, lhsImagInfinite);
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Value infNumFiniteDenom =
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rewriter.create<AndOp>(loc, lhsInfinite, rhsFinite);
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Value one = rewriter.create<ConstantOp>(
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loc, elementType, rewriter.getFloatAttr(elementType, 1));
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Value lhsRealIsInfWithSign = rewriter.create<CopySignOp>(
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loc, rewriter.create<SelectOp>(loc, lhsRealInfinite, one, zero),
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lhsReal);
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Value lhsImagIsInfWithSign = rewriter.create<CopySignOp>(
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loc, rewriter.create<SelectOp>(loc, lhsImagInfinite, one, zero),
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lhsImag);
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Value lhsRealIsInfWithSignTimesRhsReal =
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rewriter.create<MulFOp>(loc, lhsRealIsInfWithSign, rhsReal);
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Value lhsImagIsInfWithSignTimesRhsImag =
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rewriter.create<MulFOp>(loc, lhsImagIsInfWithSign, rhsImag);
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Value resultReal3 = rewriter.create<MulFOp>(
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loc, inf,
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rewriter.create<AddFOp>(loc, lhsRealIsInfWithSignTimesRhsReal,
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lhsImagIsInfWithSignTimesRhsImag));
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Value lhsRealIsInfWithSignTimesRhsImag =
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rewriter.create<MulFOp>(loc, lhsRealIsInfWithSign, rhsImag);
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Value lhsImagIsInfWithSignTimesRhsReal =
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rewriter.create<MulFOp>(loc, lhsImagIsInfWithSign, rhsReal);
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Value resultImag3 = rewriter.create<MulFOp>(
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loc, inf,
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rewriter.create<SubFOp>(loc, lhsImagIsInfWithSignTimesRhsReal,
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lhsRealIsInfWithSignTimesRhsImag));
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// Case 3: Finite numerator, infinite denominator.
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Value lhsRealFinite =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::ONE, lhsRealAbs, inf);
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Value lhsImagFinite =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::ONE, lhsImagAbs, inf);
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Value lhsFinite = rewriter.create<AndOp>(loc, lhsRealFinite, lhsImagFinite);
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Value rhsRealInfinite =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::OEQ, rhsRealAbs, inf);
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Value rhsImagInfinite =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::OEQ, rhsImagAbs, inf);
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Value rhsInfinite =
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rewriter.create<OrOp>(loc, rhsRealInfinite, rhsImagInfinite);
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Value finiteNumInfiniteDenom =
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rewriter.create<AndOp>(loc, lhsFinite, rhsInfinite);
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Value rhsRealIsInfWithSign = rewriter.create<CopySignOp>(
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loc, rewriter.create<SelectOp>(loc, rhsRealInfinite, one, zero),
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rhsReal);
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Value rhsImagIsInfWithSign = rewriter.create<CopySignOp>(
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loc, rewriter.create<SelectOp>(loc, rhsImagInfinite, one, zero),
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rhsImag);
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Value rhsRealIsInfWithSignTimesLhsReal =
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rewriter.create<MulFOp>(loc, lhsReal, rhsRealIsInfWithSign);
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Value rhsImagIsInfWithSignTimesLhsImag =
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rewriter.create<MulFOp>(loc, lhsImag, rhsImagIsInfWithSign);
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Value resultReal4 = rewriter.create<MulFOp>(
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loc, zero,
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rewriter.create<AddFOp>(loc, rhsRealIsInfWithSignTimesLhsReal,
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rhsImagIsInfWithSignTimesLhsImag));
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Value rhsRealIsInfWithSignTimesLhsImag =
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rewriter.create<MulFOp>(loc, lhsImag, rhsRealIsInfWithSign);
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Value rhsImagIsInfWithSignTimesLhsReal =
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rewriter.create<MulFOp>(loc, lhsReal, rhsImagIsInfWithSign);
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Value resultImag4 = rewriter.create<MulFOp>(
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loc, zero,
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rewriter.create<SubFOp>(loc, rhsRealIsInfWithSignTimesLhsImag,
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rhsImagIsInfWithSignTimesLhsReal));
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Value realAbsSmallerThanImagAbs = rewriter.create<CmpFOp>(
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loc, CmpFPredicate::OLT, rhsRealAbs, rhsImagAbs);
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Value resultReal = rewriter.create<SelectOp>(loc, realAbsSmallerThanImagAbs,
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resultReal1, resultReal2);
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Value resultImag = rewriter.create<SelectOp>(loc, realAbsSmallerThanImagAbs,
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resultImag1, resultImag2);
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Value resultRealSpecialCase3 = rewriter.create<SelectOp>(
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loc, finiteNumInfiniteDenom, resultReal4, resultReal);
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Value resultImagSpecialCase3 = rewriter.create<SelectOp>(
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loc, finiteNumInfiniteDenom, resultImag4, resultImag);
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Value resultRealSpecialCase2 = rewriter.create<SelectOp>(
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loc, infNumFiniteDenom, resultReal3, resultRealSpecialCase3);
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Value resultImagSpecialCase2 = rewriter.create<SelectOp>(
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loc, infNumFiniteDenom, resultImag3, resultImagSpecialCase3);
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Value resultRealSpecialCase1 = rewriter.create<SelectOp>(
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loc, resultIsInfinity, infinityResultReal, resultRealSpecialCase2);
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Value resultImagSpecialCase1 = rewriter.create<SelectOp>(
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loc, resultIsInfinity, infinityResultImag, resultImagSpecialCase2);
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Value resultRealIsNaN =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::UNO, resultReal, zero);
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Value resultImagIsNaN =
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rewriter.create<CmpFOp>(loc, CmpFPredicate::UNO, resultImag, zero);
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Value resultIsNaN =
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rewriter.create<AndOp>(loc, resultRealIsNaN, resultImagIsNaN);
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Value resultRealWithSpecialCases = rewriter.create<SelectOp>(
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loc, resultIsNaN, resultRealSpecialCase1, resultReal);
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Value resultImagWithSpecialCases = rewriter.create<SelectOp>(
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loc, resultIsNaN, resultImagSpecialCase1, resultImag);
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rewriter.replaceOpWithNewOp<complex::CreateOp>(
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op, type, resultRealWithSpecialCases, resultImagWithSpecialCases);
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return success();
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}
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};
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struct ExpOpConversion : public OpConversionPattern<complex::ExpOp> {
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using OpConversionPattern<complex::ExpOp>::OpConversionPattern;
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LogicalResult
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matchAndRewrite(complex::ExpOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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complex::ExpOp::Adaptor transformed(operands);
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auto loc = op.getLoc();
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auto type = transformed.complex().getType().cast<ComplexType>();
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auto elementType = type.getElementType().cast<FloatType>();
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Value real =
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rewriter.create<complex::ReOp>(loc, elementType, transformed.complex());
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Value imag =
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rewriter.create<complex::ImOp>(loc, elementType, transformed.complex());
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Value expReal = rewriter.create<math::ExpOp>(loc, real);
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Value cosImag = rewriter.create<math::CosOp>(loc, imag);
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Value resultReal = rewriter.create<MulFOp>(loc, expReal, cosImag);
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Value sinImag = rewriter.create<math::SinOp>(loc, imag);
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Value resultImag = rewriter.create<MulFOp>(loc, expReal, sinImag);
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rewriter.replaceOpWithNewOp<complex::CreateOp>(op, type, resultReal,
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resultImag);
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return success();
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}
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};
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struct LogOpConversion : public OpConversionPattern<complex::LogOp> {
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using OpConversionPattern<complex::LogOp>::OpConversionPattern;
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LogicalResult
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matchAndRewrite(complex::LogOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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complex::LogOp::Adaptor transformed(operands);
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auto type = transformed.complex().getType().cast<ComplexType>();
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auto elementType = type.getElementType().cast<FloatType>();
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mlir::ImplicitLocOpBuilder b(op.getLoc(), rewriter);
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Value abs = b.create<complex::AbsOp>(elementType, transformed.complex());
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Value resultReal = b.create<math::LogOp>(elementType, abs);
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Value real = b.create<complex::ReOp>(elementType, transformed.complex());
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Value imag = b.create<complex::ImOp>(elementType, transformed.complex());
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Value resultImag = b.create<math::Atan2Op>(elementType, imag, real);
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rewriter.replaceOpWithNewOp<complex::CreateOp>(op, type, resultReal,
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resultImag);
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return success();
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}
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};
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struct Log1pOpConversion : public OpConversionPattern<complex::Log1pOp> {
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using OpConversionPattern<complex::Log1pOp>::OpConversionPattern;
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LogicalResult
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matchAndRewrite(complex::Log1pOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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complex::Log1pOp::Adaptor transformed(operands);
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auto type = transformed.complex().getType().cast<ComplexType>();
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auto elementType = type.getElementType().cast<FloatType>();
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mlir::ImplicitLocOpBuilder b(op.getLoc(), rewriter);
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Value real = b.create<complex::ReOp>(elementType, transformed.complex());
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Value imag = b.create<complex::ImOp>(elementType, transformed.complex());
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Value one =
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b.create<ConstantOp>(elementType, b.getFloatAttr(elementType, 1));
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Value realPlusOne = b.create<AddFOp>(real, one);
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Value newComplex = b.create<complex::CreateOp>(type, realPlusOne, imag);
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rewriter.replaceOpWithNewOp<complex::LogOp>(op, type, newComplex);
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return success();
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}
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};
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struct MulOpConversion : public OpConversionPattern<complex::MulOp> {
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using OpConversionPattern<complex::MulOp>::OpConversionPattern;
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LogicalResult
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matchAndRewrite(complex::MulOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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complex::MulOp::Adaptor transformed(operands);
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mlir::ImplicitLocOpBuilder b(op.getLoc(), rewriter);
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auto type = transformed.lhs().getType().cast<ComplexType>();
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auto elementType = type.getElementType().cast<FloatType>();
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Value lhsReal = b.create<complex::ReOp>(elementType, transformed.lhs());
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Value lhsRealAbs = b.create<AbsFOp>(lhsReal);
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Value lhsImag = b.create<complex::ImOp>(elementType, transformed.lhs());
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Value lhsImagAbs = b.create<AbsFOp>(lhsImag);
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Value rhsReal = b.create<complex::ReOp>(elementType, transformed.rhs());
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Value rhsRealAbs = b.create<AbsFOp>(rhsReal);
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Value rhsImag = b.create<complex::ImOp>(elementType, transformed.rhs());
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Value rhsImagAbs = b.create<AbsFOp>(rhsImag);
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Value lhsRealTimesRhsReal = b.create<MulFOp>(lhsReal, rhsReal);
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Value lhsRealTimesRhsRealAbs = b.create<AbsFOp>(lhsRealTimesRhsReal);
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Value lhsImagTimesRhsImag = b.create<MulFOp>(lhsImag, rhsImag);
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Value lhsImagTimesRhsImagAbs = b.create<AbsFOp>(lhsImagTimesRhsImag);
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Value real = b.create<SubFOp>(lhsRealTimesRhsReal, lhsImagTimesRhsImag);
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Value lhsImagTimesRhsReal = b.create<MulFOp>(lhsImag, rhsReal);
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Value lhsImagTimesRhsRealAbs = b.create<AbsFOp>(lhsImagTimesRhsReal);
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Value lhsRealTimesRhsImag = b.create<MulFOp>(lhsReal, rhsImag);
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Value lhsRealTimesRhsImagAbs = b.create<AbsFOp>(lhsRealTimesRhsImag);
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Value imag = b.create<AddFOp>(lhsImagTimesRhsReal, lhsRealTimesRhsImag);
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// Handle cases where the "naive" calculation results in NaN values.
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Value realIsNan = b.create<CmpFOp>(CmpFPredicate::UNO, real, real);
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Value imagIsNan = b.create<CmpFOp>(CmpFPredicate::UNO, imag, imag);
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Value isNan = b.create<AndOp>(realIsNan, imagIsNan);
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Value inf = b.create<ConstantOp>(
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elementType,
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b.getFloatAttr(elementType,
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APFloat::getInf(elementType.getFloatSemantics())));
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// Case 1. `lhsReal` or `lhsImag` are infinite.
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Value lhsRealIsInf = b.create<CmpFOp>(CmpFPredicate::OEQ, lhsRealAbs, inf);
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Value lhsImagIsInf = b.create<CmpFOp>(CmpFPredicate::OEQ, lhsImagAbs, inf);
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Value lhsIsInf = b.create<OrOp>(lhsRealIsInf, lhsImagIsInf);
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Value rhsRealIsNan = b.create<CmpFOp>(CmpFPredicate::UNO, rhsReal, rhsReal);
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Value rhsImagIsNan = b.create<CmpFOp>(CmpFPredicate::UNO, rhsImag, rhsImag);
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Value zero = b.create<ConstantOp>(elementType, b.getZeroAttr(elementType));
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Value one =
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b.create<ConstantOp>(elementType, b.getFloatAttr(elementType, 1));
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Value lhsRealIsInfFloat = b.create<SelectOp>(lhsRealIsInf, one, zero);
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lhsReal = b.create<SelectOp>(
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lhsIsInf, b.create<CopySignOp>(lhsRealIsInfFloat, lhsReal), lhsReal);
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Value lhsImagIsInfFloat = b.create<SelectOp>(lhsImagIsInf, one, zero);
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lhsImag = b.create<SelectOp>(
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lhsIsInf, b.create<CopySignOp>(lhsImagIsInfFloat, lhsImag), lhsImag);
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Value lhsIsInfAndRhsRealIsNan = b.create<AndOp>(lhsIsInf, rhsRealIsNan);
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rhsReal = b.create<SelectOp>(lhsIsInfAndRhsRealIsNan,
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b.create<CopySignOp>(zero, rhsReal), rhsReal);
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Value lhsIsInfAndRhsImagIsNan = b.create<AndOp>(lhsIsInf, rhsImagIsNan);
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rhsImag = b.create<SelectOp>(lhsIsInfAndRhsImagIsNan,
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b.create<CopySignOp>(zero, rhsImag), rhsImag);
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// Case 2. `rhsReal` or `rhsImag` are infinite.
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Value rhsRealIsInf = b.create<CmpFOp>(CmpFPredicate::OEQ, rhsRealAbs, inf);
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Value rhsImagIsInf = b.create<CmpFOp>(CmpFPredicate::OEQ, rhsImagAbs, inf);
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Value rhsIsInf = b.create<OrOp>(rhsRealIsInf, rhsImagIsInf);
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Value lhsRealIsNan = b.create<CmpFOp>(CmpFPredicate::UNO, lhsReal, lhsReal);
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Value lhsImagIsNan = b.create<CmpFOp>(CmpFPredicate::UNO, lhsImag, lhsImag);
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Value rhsRealIsInfFloat = b.create<SelectOp>(rhsRealIsInf, one, zero);
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rhsReal = b.create<SelectOp>(
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rhsIsInf, b.create<CopySignOp>(rhsRealIsInfFloat, rhsReal), rhsReal);
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Value rhsImagIsInfFloat = b.create<SelectOp>(rhsImagIsInf, one, zero);
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rhsImag = b.create<SelectOp>(
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rhsIsInf, b.create<CopySignOp>(rhsImagIsInfFloat, rhsImag), rhsImag);
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Value rhsIsInfAndLhsRealIsNan = b.create<AndOp>(rhsIsInf, lhsRealIsNan);
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lhsReal = b.create<SelectOp>(rhsIsInfAndLhsRealIsNan,
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b.create<CopySignOp>(zero, lhsReal), lhsReal);
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Value rhsIsInfAndLhsImagIsNan = b.create<AndOp>(rhsIsInf, lhsImagIsNan);
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lhsImag = b.create<SelectOp>(rhsIsInfAndLhsImagIsNan,
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b.create<CopySignOp>(zero, lhsImag), lhsImag);
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Value recalc = b.create<OrOp>(lhsIsInf, rhsIsInf);
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// Case 3. One of the pairwise products of left hand side with right hand
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// side is infinite.
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Value lhsRealTimesRhsRealIsInf =
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b.create<CmpFOp>(CmpFPredicate::OEQ, lhsRealTimesRhsRealAbs, inf);
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Value lhsImagTimesRhsImagIsInf =
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b.create<CmpFOp>(CmpFPredicate::OEQ, lhsImagTimesRhsImagAbs, inf);
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Value isSpecialCase =
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b.create<OrOp>(lhsRealTimesRhsRealIsInf, lhsImagTimesRhsImagIsInf);
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Value lhsRealTimesRhsImagIsInf =
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b.create<CmpFOp>(CmpFPredicate::OEQ, lhsRealTimesRhsImagAbs, inf);
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isSpecialCase = b.create<OrOp>(isSpecialCase, lhsRealTimesRhsImagIsInf);
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Value lhsImagTimesRhsRealIsInf =
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b.create<CmpFOp>(CmpFPredicate::OEQ, lhsImagTimesRhsRealAbs, inf);
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isSpecialCase = b.create<OrOp>(isSpecialCase, lhsImagTimesRhsRealIsInf);
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Type i1Type = b.getI1Type();
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Value notRecalc = b.create<XOrOp>(
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recalc, b.create<ConstantOp>(i1Type, b.getIntegerAttr(i1Type, 1)));
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isSpecialCase = b.create<AndOp>(isSpecialCase, notRecalc);
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Value isSpecialCaseAndLhsRealIsNan =
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b.create<AndOp>(isSpecialCase, lhsRealIsNan);
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lhsReal = b.create<SelectOp>(isSpecialCaseAndLhsRealIsNan,
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b.create<CopySignOp>(zero, lhsReal), lhsReal);
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Value isSpecialCaseAndLhsImagIsNan =
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b.create<AndOp>(isSpecialCase, lhsImagIsNan);
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lhsImag = b.create<SelectOp>(isSpecialCaseAndLhsImagIsNan,
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b.create<CopySignOp>(zero, lhsImag), lhsImag);
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Value isSpecialCaseAndRhsRealIsNan =
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b.create<AndOp>(isSpecialCase, rhsRealIsNan);
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rhsReal = b.create<SelectOp>(isSpecialCaseAndRhsRealIsNan,
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b.create<CopySignOp>(zero, rhsReal), rhsReal);
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Value isSpecialCaseAndRhsImagIsNan =
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b.create<AndOp>(isSpecialCase, rhsImagIsNan);
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rhsImag = b.create<SelectOp>(isSpecialCaseAndRhsImagIsNan,
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b.create<CopySignOp>(zero, rhsImag), rhsImag);
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recalc = b.create<OrOp>(recalc, isSpecialCase);
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recalc = b.create<AndOp>(isNan, recalc);
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// Recalculate real part.
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lhsRealTimesRhsReal = b.create<MulFOp>(lhsReal, rhsReal);
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lhsImagTimesRhsImag = b.create<MulFOp>(lhsImag, rhsImag);
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Value newReal = b.create<SubFOp>(lhsRealTimesRhsReal, lhsImagTimesRhsImag);
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real = b.create<SelectOp>(recalc, b.create<MulFOp>(inf, newReal), real);
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// Recalculate imag part.
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lhsImagTimesRhsReal = b.create<MulFOp>(lhsImag, rhsReal);
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lhsRealTimesRhsImag = b.create<MulFOp>(lhsReal, rhsImag);
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Value newImag = b.create<AddFOp>(lhsImagTimesRhsReal, lhsRealTimesRhsImag);
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imag = b.create<SelectOp>(recalc, b.create<MulFOp>(inf, newImag), imag);
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rewriter.replaceOpWithNewOp<complex::CreateOp>(op, type, real, imag);
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return success();
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}
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};
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struct NegOpConversion : public OpConversionPattern<complex::NegOp> {
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using OpConversionPattern<complex::NegOp>::OpConversionPattern;
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LogicalResult
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matchAndRewrite(complex::NegOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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complex::NegOp::Adaptor transformed(operands);
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auto loc = op.getLoc();
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auto type = transformed.complex().getType().cast<ComplexType>();
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auto elementType = type.getElementType().cast<FloatType>();
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Value real =
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rewriter.create<complex::ReOp>(loc, elementType, transformed.complex());
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Value imag =
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rewriter.create<complex::ImOp>(loc, elementType, transformed.complex());
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Value negReal = rewriter.create<NegFOp>(loc, real);
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Value negImag = rewriter.create<NegFOp>(loc, imag);
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rewriter.replaceOpWithNewOp<complex::CreateOp>(op, type, negReal, negImag);
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return success();
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}
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};
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struct SignOpConversion : public OpConversionPattern<complex::SignOp> {
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using OpConversionPattern<complex::SignOp>::OpConversionPattern;
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LogicalResult
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matchAndRewrite(complex::SignOp op, ArrayRef<Value> operands,
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ConversionPatternRewriter &rewriter) const override {
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complex::SignOp::Adaptor transformed(operands);
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auto type = transformed.complex().getType().cast<ComplexType>();
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auto elementType = type.getElementType().cast<FloatType>();
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mlir::ImplicitLocOpBuilder b(op.getLoc(), rewriter);
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Value real = b.create<complex::ReOp>(elementType, transformed.complex());
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Value imag = b.create<complex::ImOp>(elementType, transformed.complex());
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Value zero = b.create<ConstantOp>(elementType, b.getZeroAttr(elementType));
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Value realIsZero = b.create<CmpFOp>(CmpFPredicate::OEQ, real, zero);
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Value imagIsZero = b.create<CmpFOp>(CmpFPredicate::OEQ, imag, zero);
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Value isZero = b.create<AndOp>(realIsZero, imagIsZero);
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auto abs = b.create<complex::AbsOp>(elementType, transformed.complex());
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Value realSign = b.create<DivFOp>(real, abs);
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Value imagSign = b.create<DivFOp>(imag, abs);
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Value sign = b.create<complex::CreateOp>(type, realSign, imagSign);
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rewriter.replaceOpWithNewOp<SelectOp>(op, isZero, transformed.complex(),
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sign);
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return success();
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}
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};
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} // namespace
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void mlir::populateComplexToStandardConversionPatterns(
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RewritePatternSet &patterns) {
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// clang-format off
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patterns.add<
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AbsOpConversion,
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ComparisonOpConversion<complex::EqualOp, CmpFPredicate::OEQ>,
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ComparisonOpConversion<complex::NotEqualOp, CmpFPredicate::UNE>,
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BinaryComplexOpConversion<complex::AddOp, AddFOp>,
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BinaryComplexOpConversion<complex::SubOp, SubFOp>,
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DivOpConversion,
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ExpOpConversion,
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LogOpConversion,
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Log1pOpConversion,
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MulOpConversion,
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NegOpConversion,
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SignOpConversion>(patterns.getContext());
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// clang-format on
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}
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namespace {
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struct ConvertComplexToStandardPass
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: public ConvertComplexToStandardBase<ConvertComplexToStandardPass> {
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void runOnFunction() override;
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};
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void ConvertComplexToStandardPass::runOnFunction() {
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auto function = getFunction();
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// Convert to the Standard dialect using the converter defined above.
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RewritePatternSet patterns(&getContext());
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populateComplexToStandardConversionPatterns(patterns);
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ConversionTarget target(getContext());
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target.addLegalDialect<StandardOpsDialect, math::MathDialect>();
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target.addLegalOp<complex::CreateOp, complex::ImOp, complex::ReOp>();
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if (failed(applyPartialConversion(function, target, std::move(patterns))))
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signalPassFailure();
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}
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} // namespace
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std::unique_ptr<OperationPass<FuncOp>>
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mlir::createConvertComplexToStandardPass() {
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return std::make_unique<ConvertComplexToStandardPass>();
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}
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