[mlir][complex] Fastmath flag for the trigonometric ops in complex (#85563)
Support Fastmath flag to convert trigonometric ops in the complex dialect. See: https://discourse.llvm.org/t/rfc-fastmath-flags-support-in-complex-dialect/71981
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@ -196,6 +196,7 @@ struct TrigonometricOpConversion : public OpConversionPattern<TrigonometricOp> {
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auto loc = op.getLoc();
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auto type = cast<ComplexType>(adaptor.getComplex().getType());
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auto elementType = cast<FloatType>(type.getElementType());
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arith::FastMathFlagsAttr fmf = op.getFastMathFlagsAttr();
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Value real =
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rewriter.create<complex::ReOp>(loc, elementType, adaptor.getComplex());
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@ -207,14 +208,14 @@ struct TrigonometricOpConversion : public OpConversionPattern<TrigonometricOp> {
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// implementation in the subclass to combine them.
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Value half = rewriter.create<arith::ConstantOp>(
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loc, elementType, rewriter.getFloatAttr(elementType, 0.5));
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Value exp = rewriter.create<math::ExpOp>(loc, imag);
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Value scaledExp = rewriter.create<arith::MulFOp>(loc, half, exp);
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Value reciprocalExp = rewriter.create<arith::DivFOp>(loc, half, exp);
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Value sin = rewriter.create<math::SinOp>(loc, real);
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Value cos = rewriter.create<math::CosOp>(loc, real);
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Value exp = rewriter.create<math::ExpOp>(loc, imag, fmf);
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Value scaledExp = rewriter.create<arith::MulFOp>(loc, half, exp, fmf);
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Value reciprocalExp = rewriter.create<arith::DivFOp>(loc, half, exp, fmf);
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Value sin = rewriter.create<math::SinOp>(loc, real, fmf);
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Value cos = rewriter.create<math::CosOp>(loc, real, fmf);
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auto resultPair =
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combine(loc, scaledExp, reciprocalExp, sin, cos, rewriter);
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combine(loc, scaledExp, reciprocalExp, sin, cos, rewriter, fmf);
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rewriter.replaceOpWithNewOp<complex::CreateOp>(op, type, resultPair.first,
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resultPair.second);
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@ -223,15 +224,17 @@ struct TrigonometricOpConversion : public OpConversionPattern<TrigonometricOp> {
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virtual std::pair<Value, Value>
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combine(Location loc, Value scaledExp, Value reciprocalExp, Value sin,
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Value cos, ConversionPatternRewriter &rewriter) const = 0;
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Value cos, ConversionPatternRewriter &rewriter,
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arith::FastMathFlagsAttr fmf) const = 0;
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};
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struct CosOpConversion : public TrigonometricOpConversion<complex::CosOp> {
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using TrigonometricOpConversion<complex::CosOp>::TrigonometricOpConversion;
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std::pair<Value, Value>
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combine(Location loc, Value scaledExp, Value reciprocalExp, Value sin,
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Value cos, ConversionPatternRewriter &rewriter) const override {
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std::pair<Value, Value> combine(Location loc, Value scaledExp,
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Value reciprocalExp, Value sin, Value cos,
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ConversionPatternRewriter &rewriter,
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arith::FastMathFlagsAttr fmf) const override {
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// Complex cosine is defined as;
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// cos(x + iy) = 0.5 * (exp(i(x + iy)) + exp(-i(x + iy)))
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// Plugging in:
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@ -241,10 +244,12 @@ struct CosOpConversion : public TrigonometricOpConversion<complex::CosOp> {
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// We get:
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// Re(cos(x + iy)) = (0.5/t + 0.5*t) * cos x
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// Im(cos(x + iy)) = (0.5/t - 0.5*t) * sin x
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Value sum = rewriter.create<arith::AddFOp>(loc, reciprocalExp, scaledExp);
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Value resultReal = rewriter.create<arith::MulFOp>(loc, sum, cos);
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Value diff = rewriter.create<arith::SubFOp>(loc, reciprocalExp, scaledExp);
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Value resultImag = rewriter.create<arith::MulFOp>(loc, diff, sin);
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Value sum =
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rewriter.create<arith::AddFOp>(loc, reciprocalExp, scaledExp, fmf);
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Value resultReal = rewriter.create<arith::MulFOp>(loc, sum, cos, fmf);
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Value diff =
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rewriter.create<arith::SubFOp>(loc, reciprocalExp, scaledExp, fmf);
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Value resultImag = rewriter.create<arith::MulFOp>(loc, diff, sin, fmf);
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return {resultReal, resultImag};
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}
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};
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@ -813,9 +818,10 @@ struct NegOpConversion : public OpConversionPattern<complex::NegOp> {
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struct SinOpConversion : public TrigonometricOpConversion<complex::SinOp> {
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using TrigonometricOpConversion<complex::SinOp>::TrigonometricOpConversion;
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std::pair<Value, Value>
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combine(Location loc, Value scaledExp, Value reciprocalExp, Value sin,
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Value cos, ConversionPatternRewriter &rewriter) const override {
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std::pair<Value, Value> combine(Location loc, Value scaledExp,
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Value reciprocalExp, Value sin, Value cos,
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ConversionPatternRewriter &rewriter,
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arith::FastMathFlagsAttr fmf) const override {
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// Complex sine is defined as;
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// sin(x + iy) = -0.5i * (exp(i(x + iy)) - exp(-i(x + iy)))
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// Plugging in:
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@ -825,10 +831,12 @@ struct SinOpConversion : public TrigonometricOpConversion<complex::SinOp> {
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// We get:
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// Re(sin(x + iy)) = (0.5*t + 0.5/t) * sin x
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// Im(cos(x + iy)) = (0.5*t - 0.5/t) * cos x
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Value sum = rewriter.create<arith::AddFOp>(loc, scaledExp, reciprocalExp);
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Value resultReal = rewriter.create<arith::MulFOp>(loc, sum, sin);
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Value diff = rewriter.create<arith::SubFOp>(loc, scaledExp, reciprocalExp);
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Value resultImag = rewriter.create<arith::MulFOp>(loc, diff, cos);
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Value sum =
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rewriter.create<arith::AddFOp>(loc, scaledExp, reciprocalExp, fmf);
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Value resultReal = rewriter.create<arith::MulFOp>(loc, sum, sin, fmf);
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Value diff =
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rewriter.create<arith::SubFOp>(loc, scaledExp, reciprocalExp, fmf);
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Value resultImag = rewriter.create<arith::MulFOp>(loc, diff, cos, fmf);
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return {resultReal, resultImag};
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}
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};
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@ -1834,3 +1834,49 @@ func.func @complex_sqrt_with_fmf(%arg: complex<f32>) -> complex<f32> {
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// CHECK: %[[VAR40:.*]] = arith.select %[[VAR38]], %cst, %[[VAR32]] : f32
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// CHECK: %[[VAR41:.*]] = complex.create %[[VAR39]], %[[VAR40]] : complex<f32>
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// CHECK: return %[[VAR41]] : complex<f32>
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// -----
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// CHECK-LABEL: func @complex_cos_with_fmf
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// CHECK-SAME: %[[ARG:.*]]: complex<f32>
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func.func @complex_cos_with_fmf(%arg: complex<f32>) -> complex<f32> {
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%cos = complex.cos %arg fastmath<nnan,contract> : complex<f32>
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return %cos : complex<f32>
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}
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// CHECK-DAG: %[[REAL:.*]] = complex.re %[[ARG]]
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// CHECK-DAG: %[[IMAG:.*]] = complex.im %[[ARG]]
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// CHECK-DAG: %[[HALF:.*]] = arith.constant 5.000000e-01 : f32
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// CHECK-DAG: %[[EXP:.*]] = math.exp %[[IMAG]] fastmath<nnan,contract> : f32
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// CHECK-DAG: %[[HALF_EXP:.*]] = arith.mulf %[[HALF]], %[[EXP]] fastmath<nnan,contract>
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// CHECK-DAG: %[[HALF_REXP:.*]] = arith.divf %[[HALF]], %[[EXP]] fastmath<nnan,contract>
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// CHECK-DAG: %[[SIN:.*]] = math.sin %[[REAL]] fastmath<nnan,contract> : f32
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// CHECK-DAG: %[[COS:.*]] = math.cos %[[REAL]] fastmath<nnan,contract> : f32
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// CHECK-DAG: %[[EXP_SUM:.*]] = arith.addf %[[HALF_REXP]], %[[HALF_EXP]] fastmath<nnan,contract>
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// CHECK-DAG: %[[RESULT_REAL:.*]] = arith.mulf %[[EXP_SUM]], %[[COS]] fastmath<nnan,contract>
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// CHECK-DAG: %[[EXP_DIFF:.*]] = arith.subf %[[HALF_REXP]], %[[HALF_EXP]] fastmath<nnan,contract>
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// CHECK-DAG: %[[RESULT_IMAG:.*]] = arith.mulf %[[EXP_DIFF]], %[[SIN]] fastmath<nnan,contract>
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// CHECK-DAG: %[[RESULT:.*]] = complex.create %[[RESULT_REAL]], %[[RESULT_IMAG]] : complex<f32>
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// CHECK: return %[[RESULT]]
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// -----
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// CHECK-LABEL: func @complex_sin_with_fmf
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// CHECK-SAME: %[[ARG:.*]]: complex<f32>
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func.func @complex_sin_with_fmf(%arg: complex<f32>) -> complex<f32> {
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%cos = complex.sin %arg fastmath<nnan,contract> : complex<f32>
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return %cos : complex<f32>
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}
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// CHECK-DAG: %[[REAL:.*]] = complex.re %[[ARG]]
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// CHECK-DAG: %[[IMAG:.*]] = complex.im %[[ARG]]
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// CHECK-DAG: %[[HALF:.*]] = arith.constant 5.000000e-01 : f32
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// CHECK-DAG: %[[EXP:.*]] = math.exp %[[IMAG]] fastmath<nnan,contract> : f32
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// CHECK-DAG: %[[HALF_EXP:.*]] = arith.mulf %[[HALF]], %[[EXP]] fastmath<nnan,contract>
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// CHECK-DAG: %[[HALF_REXP:.*]] = arith.divf %[[HALF]], %[[EXP]] fastmath<nnan,contract>
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// CHECK-DAG: %[[SIN:.*]] = math.sin %[[REAL]] fastmath<nnan,contract> : f32
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// CHECK-DAG: %[[COS:.*]] = math.cos %[[REAL]] fastmath<nnan,contract> : f32
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// CHECK-DAG: %[[EXP_SUM:.*]] = arith.addf %[[HALF_EXP]], %[[HALF_REXP]] fastmath<nnan,contract>
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// CHECK-DAG: %[[RESULT_REAL:.*]] = arith.mulf %[[EXP_SUM]], %[[SIN]] fastmath<nnan,contract>
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// CHECK-DAG: %[[EXP_DIFF:.*]] = arith.subf %[[HALF_EXP]], %[[HALF_REXP]] fastmath<nnan,contract>
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// CHECK-DAG: %[[RESULT_IMAG:.*]] = arith.mulf %[[EXP_DIFF]], %[[COS]] fastmath<nnan,contract>
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// CHECK-DAG: %[[RESULT:.*]] = complex.create %[[RESULT_REAL]], %[[RESULT_IMAG]] : complex<f32>
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// CHECK: return %[[RESULT]]
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