[Mlir-commits] [mlir] [MLIR][Math] Add erfc to math dialect (PR #126439)

Jan Leyonberg llvmlistbot at llvm.org
Sun Feb 9 18:11:59 PST 2025


https://github.com/jsjodin updated https://github.com/llvm/llvm-project/pull/126439

>From e780841acc3c417b005fc965a62ed4d46650a0e5 Mon Sep 17 00:00:00 2001
From: Jan Leyonberg <jan_sjodin at yahoo.com>
Date: Sun, 9 Feb 2025 15:12:01 -0500
Subject: [PATCH 1/2] [MLIR][Math] Add erfc to math dialect

This patch adds the erfc op to the math dialect. It also does lowering of the
math.erfc op to libm calls. There is also a f32 polynomial approximation for
the function based on
https://stackoverflow.com/questions/35966695/vectorizable-implementation-of-complementary-error-function-erfcf
This is in turn based on
M. M. Shepherd and J. G. Laframboise, "Chebyshev Approximation of
(1+2x)exp(x^2)erfc x in 0 <= x < INF", Mathematics of Computation, Vol. 36,
No. 153, January 1981, pp. 249-253.
The code has a ULP error less than 3, which was tested, and MLIR test values
were verified against the C implementation.
---
 mlir/include/mlir/Dialect/Math/IR/MathOps.td  |  22 ++++
 .../Dialect/Math/Transforms/Approximation.h   |   8 ++
 .../mlir/Dialect/Math/Transforms/Passes.h     |   1 +
 mlir/lib/Conversion/MathToLibm/MathToLibm.cpp |   1 +
 mlir/lib/Dialect/Math/IR/MathOps.cpp          |  18 +++
 .../Transforms/PolynomialApproximation.cpp    | 118 ++++++++++++++++--
 .../Math/polynomial-approximation.mlir        | 112 +++++++++++++++++
 .../mlir-runner/math-polynomial-approx.mlir   |  72 +++++++++++
 mlir/utils/vim/syntax/mlir.vim                |   1 +
 9 files changed, 344 insertions(+), 9 deletions(-)

diff --git a/mlir/include/mlir/Dialect/Math/IR/MathOps.td b/mlir/include/mlir/Dialect/Math/IR/MathOps.td
index 5990a9f0d2e442b..67d2d5168fe374e 100644
--- a/mlir/include/mlir/Dialect/Math/IR/MathOps.td
+++ b/mlir/include/mlir/Dialect/Math/IR/MathOps.td
@@ -543,6 +543,28 @@ def Math_ErfOp : Math_FloatUnaryOp<"erf"> {
   let hasFolder = 1;
 }
 
+//===----------------------------------------------------------------------===//
+// ErfcOp
+//===----------------------------------------------------------------------===//
+
+def Math_ErfcOp : Math_FloatUnaryOp<"erfc"> {
+  let summary = "complementary error function of the specified value";
+  let description = [{
+    The `erfc` operation computes the complementary error function.
+    It takes one operand of floating point type (i.e., scalar, tensor or
+    vector) and returns one result of the same type.
+    It has no standard attributes.
+
+    Example:
+
+    ```mlir
+    // Scalar error function value.
+    %a = math.erfc %b : f64
+    ```
+  }];
+  let hasFolder = 1;
+}
+
 
 //===----------------------------------------------------------------------===//
 // ExpOp
diff --git a/mlir/include/mlir/Dialect/Math/Transforms/Approximation.h b/mlir/include/mlir/Dialect/Math/Transforms/Approximation.h
index b4ebc2f0f8fcd28..ecfdb71817dffd9 100644
--- a/mlir/include/mlir/Dialect/Math/Transforms/Approximation.h
+++ b/mlir/include/mlir/Dialect/Math/Transforms/Approximation.h
@@ -23,6 +23,14 @@ struct ErfPolynomialApproximation : public OpRewritePattern<math::ErfOp> {
                                 PatternRewriter &rewriter) const final;
 };
 
+struct ErfcPolynomialApproximation : public OpRewritePattern<math::ErfcOp> {
+public:
+  using OpRewritePattern::OpRewritePattern;
+
+  LogicalResult matchAndRewrite(math::ErfcOp op,
+                                PatternRewriter &rewriter) const final;
+};
+
 } // namespace math
 } // namespace mlir
 
diff --git a/mlir/include/mlir/Dialect/Math/Transforms/Passes.h b/mlir/include/mlir/Dialect/Math/Transforms/Passes.h
index f0f17c6adcb088e..b8055354645244b 100644
--- a/mlir/include/mlir/Dialect/Math/Transforms/Passes.h
+++ b/mlir/include/mlir/Dialect/Math/Transforms/Passes.h
@@ -47,6 +47,7 @@ struct MathPolynomialApproximationOptions {
 
 void populatePolynomialApproximateTanhPattern(RewritePatternSet &patterns);
 void populatePolynomialApproximateErfPattern(RewritePatternSet &patterns);
+void populatePolynomialApproximateErfcPattern(RewritePatternSet &patterns);
 
 void populateMathPolynomialApproximationPatterns(
     RewritePatternSet &patterns,
diff --git a/mlir/lib/Conversion/MathToLibm/MathToLibm.cpp b/mlir/lib/Conversion/MathToLibm/MathToLibm.cpp
index a2488dc600f51af..1a568d549548083 100644
--- a/mlir/lib/Conversion/MathToLibm/MathToLibm.cpp
+++ b/mlir/lib/Conversion/MathToLibm/MathToLibm.cpp
@@ -175,6 +175,7 @@ void mlir::populateMathToLibmConversionPatterns(RewritePatternSet &patterns) {
   populatePatternsForOp<math::CosOp>(patterns, ctx, "cosf", "cos");
   populatePatternsForOp<math::CoshOp>(patterns, ctx, "coshf", "cosh");
   populatePatternsForOp<math::ErfOp>(patterns, ctx, "erff", "erf");
+  populatePatternsForOp<math::ErfcOp>(patterns, ctx, "erfcf", "erfc");
   populatePatternsForOp<math::ExpOp>(patterns, ctx, "expf", "exp");
   populatePatternsForOp<math::Exp2Op>(patterns, ctx, "exp2f", "exp2");
   populatePatternsForOp<math::ExpM1Op>(patterns, ctx, "expm1f", "expm1");
diff --git a/mlir/lib/Dialect/Math/IR/MathOps.cpp b/mlir/lib/Dialect/Math/IR/MathOps.cpp
index 1690585e78c5dad..93d19a69a701474 100644
--- a/mlir/lib/Dialect/Math/IR/MathOps.cpp
+++ b/mlir/lib/Dialect/Math/IR/MathOps.cpp
@@ -318,6 +318,24 @@ OpFoldResult math::ErfOp::fold(FoldAdaptor adaptor) {
       });
 }
 
+//===----------------------------------------------------------------------===//
+// ErfcOp folder
+//===----------------------------------------------------------------------===//
+
+OpFoldResult math::ErfcOp::fold(FoldAdaptor adaptor) {
+  return constFoldUnaryOpConditional<FloatAttr>(
+      adaptor.getOperands(), [](const APFloat &a) -> std::optional<APFloat> {
+        switch (a.getSizeInBits(a.getSemantics())) {
+        case 64:
+          return APFloat(erfc(a.convertToDouble()));
+        case 32:
+          return APFloat(erfcf(a.convertToFloat()));
+        default:
+          return {};
+        }
+      });
+}
+
 //===----------------------------------------------------------------------===//
 // IPowIOp folder
 //===----------------------------------------------------------------------===//
diff --git a/mlir/lib/Dialect/Math/Transforms/PolynomialApproximation.cpp b/mlir/lib/Dialect/Math/Transforms/PolynomialApproximation.cpp
index 24c892f68b50316..1585ebc74e7908f 100644
--- a/mlir/lib/Dialect/Math/Transforms/PolynomialApproximation.cpp
+++ b/mlir/lib/Dialect/Math/Transforms/PolynomialApproximation.cpp
@@ -173,6 +173,10 @@ handleMultidimensionalVectors(ImplicitLocOpBuilder &builder,
 // Helper functions to create constants.
 //----------------------------------------------------------------------------//
 
+static Value boolCst(ImplicitLocOpBuilder &builder, bool value) {
+  return builder.create<arith::ConstantOp>(builder.getBoolAttr(value));
+}
+
 static Value floatCst(ImplicitLocOpBuilder &builder, float value,
                       Type elementType) {
   assert((elementType.isF16() || elementType.isF32()) &&
@@ -1118,12 +1122,102 @@ ErfPolynomialApproximation::matchAndRewrite(math::ErfOp op,
   return success();
 }
 
+// Approximates erfc(x) with
+LogicalResult
+ErfcPolynomialApproximation::matchAndRewrite(math::ErfcOp op,
+                                             PatternRewriter &rewriter) const {
+  Value x = op.getOperand();
+  Type et = getElementTypeOrSelf(x);
+
+  if (!et.isF32())
+    return rewriter.notifyMatchFailure(op, "only f32 type is supported.");
+  std::optional<VectorShape> shape = vectorShape(x);
+
+  ImplicitLocOpBuilder builder(op->getLoc(), rewriter);
+  auto bcast = [&](Value value) -> Value {
+    return broadcast(builder, value, shape);
+  };
+
+  Value trueValue = bcast(boolCst(builder, true));
+  Value zero = bcast(floatCst(builder, 0.0f, et));
+  Value one = bcast(floatCst(builder, 1.0f, et));
+  Value onehalf = bcast(floatCst(builder, 0.5f, et));
+  Value neg4 = bcast(floatCst(builder, -4.0f, et));
+  Value neg2 = bcast(floatCst(builder, -2.0f, et));
+  Value pos2 = bcast(floatCst(builder, 2.0f, et));
+  Value posInf = bcast(f32FromBits(builder, 0x7f800000u));
+  Value clampVal = bcast(floatCst(builder, 10.0546875f, et));
+
+  // Get abs(x)
+  Value isNegativeArg =
+      builder.create<arith::CmpFOp>(arith::CmpFPredicate::OLT, x, zero);
+  Value negArg = builder.create<arith::NegFOp>(x);
+  Value a = builder.create<arith::SelectOp>(isNegativeArg, negArg, x);
+  Value p = builder.create<arith::AddFOp>(a, pos2);
+  Value r = builder.create<arith::DivFOp>(one, p);
+  Value q = builder.create<math::FmaOp>(neg4, r, one);
+  Value t = builder.create<math::FmaOp>(builder.create<arith::AddFOp>(q, one),
+                                        neg2, a);
+  Value e = builder.create<math::FmaOp>(builder.create<arith::NegFOp>(a), q, t);
+  q = builder.create<math::FmaOp>(r, e, q);
+
+  p = bcast(floatCst(builder, -0x1.a4a000p-12f, et));        // -4.01139259e-4
+  Value c1 = bcast(floatCst(builder, -0x1.42a260p-10f, et)); // -1.23075210e-3
+  p = builder.create<math::FmaOp>(p, q, c1);
+  Value c2 = bcast(floatCst(builder, 0x1.585714p-10f, et)); //  1.31355342e-3
+  p = builder.create<math::FmaOp>(p, q, c2);
+  Value c3 = bcast(floatCst(builder, 0x1.1adcc4p-07f, et)); // 8.63227434e-3
+  p = builder.create<math::FmaOp>(p, q, c3);
+  Value c4 = bcast(floatCst(builder, -0x1.081b82p-07f, et)); // -8.05991981e-3
+  p = builder.create<math::FmaOp>(p, q, c4);
+  Value c5 = bcast(floatCst(builder, -0x1.bc0b6ap-05f, et)); // -5.42046614e-2
+  p = builder.create<math::FmaOp>(p, q, c5);
+  Value c6 = bcast(floatCst(builder, 0x1.4ffc46p-03f, et)); //  1.64055392e-1
+  p = builder.create<math::FmaOp>(p, q, c6);
+  Value c7 = bcast(floatCst(builder, -0x1.540840p-03f, et)); // -1.66031361e-1
+  p = builder.create<math::FmaOp>(p, q, c7);
+  Value c8 = bcast(floatCst(builder, -0x1.7bf616p-04f, et)); // -9.27639827e-2
+  p = builder.create<math::FmaOp>(p, q, c8);
+  Value c9 = bcast(floatCst(builder, 0x1.1ba03ap-02f, et)); // 2.76978403e-1
+  p = builder.create<math::FmaOp>(p, q, c9);
+
+  Value d = builder.create<math::FmaOp>(pos2, a, one);
+  r = builder.create<arith::DivFOp>(one, d);
+  q = builder.create<math::FmaOp>(p, r, r);
+  e = builder.create<math::FmaOp>(
+      builder.create<math::FmaOp>(q, builder.create<arith::NegFOp>(a), onehalf),
+      pos2, builder.create<arith::SubFOp>(p, q));
+  r = builder.create<math::FmaOp>(e, r, q);
+
+  Value s = builder.create<arith::MulFOp>(a, a);
+  e = builder.create<math::ExpOp>(builder.create<arith::NegFOp>(s));
+
+  t = builder.create<math::FmaOp>(builder.create<arith::NegFOp>(a), a, s);
+  r = builder.create<math::FmaOp>(
+      r, e,
+      builder.create<arith::MulFOp>(builder.create<arith::MulFOp>(r, e), t));
+
+  Value isNotLessThanInf = builder.create<arith::XOrIOp>(
+      builder.create<arith::CmpFOp>(arith::CmpFPredicate::OLT, a, posInf),
+      trueValue);
+  r = builder.create<arith::SelectOp>(isNotLessThanInf,
+                                      builder.create<arith::AddFOp>(x, x), r);
+  Value isGreaterThanClamp =
+      builder.create<arith::CmpFOp>(arith::CmpFPredicate::OGT, a, clampVal);
+  r = builder.create<arith::SelectOp>(isGreaterThanClamp, zero, r);
+
+  Value isNegative =
+      builder.create<arith::CmpFOp>(arith::CmpFPredicate::OLT, x, zero);
+  r = builder.create<arith::SelectOp>(
+      isNegative, builder.create<arith::SubFOp>(pos2, r), r);
+
+  rewriter.replaceOp(op, r);
+  return success();
+}
 //----------------------------------------------------------------------------//
 // Exp approximation.
 //----------------------------------------------------------------------------//
-
 namespace {
-
 Value clampWithNormals(ImplicitLocOpBuilder &builder,
                        const std::optional<VectorShape> shape, Value value,
                        float lowerBound, float upperBound) {
@@ -1667,6 +1761,11 @@ void mlir::populatePolynomialApproximateErfPattern(
   patterns.add<ErfPolynomialApproximation>(patterns.getContext());
 }
 
+void mlir::populatePolynomialApproximateErfcPattern(
+    RewritePatternSet &patterns) {
+  patterns.add<ErfcPolynomialApproximation>(patterns.getContext());
+}
+
 void mlir::populateMathPolynomialApproximationPatterns(
     RewritePatternSet &patterns,
     const MathPolynomialApproximationOptions &options) {
@@ -1680,13 +1779,14 @@ void mlir::populateMathPolynomialApproximationPatterns(
            ReuseF32Expansion<math::SinOp>, ReuseF32Expansion<math::CosOp>>(
           patterns.getContext());
 
-  patterns
-      .add<AtanApproximation, Atan2Approximation, TanhApproximation,
-           LogApproximation, Log2Approximation, Log1pApproximation,
-           ErfPolynomialApproximation, AsinPolynomialApproximation,
-           AcosPolynomialApproximation, ExpApproximation, ExpM1Approximation,
-           CbrtApproximation, SinAndCosApproximation<true, math::SinOp>,
-           SinAndCosApproximation<false, math::CosOp>>(patterns.getContext());
+  patterns.add<AtanApproximation, Atan2Approximation, TanhApproximation,
+               LogApproximation, Log2Approximation, Log1pApproximation,
+               ErfPolynomialApproximation, ErfcPolynomialApproximation,
+               AsinPolynomialApproximation, AcosPolynomialApproximation,
+               ExpApproximation, ExpM1Approximation, CbrtApproximation,
+               SinAndCosApproximation<true, math::SinOp>,
+               SinAndCosApproximation<false, math::CosOp>>(
+      patterns.getContext());
   if (options.enableAvx2) {
     patterns.add<RsqrtApproximation, ReuseF32Expansion<math::RsqrtOp>>(
         patterns.getContext());
diff --git a/mlir/test/Dialect/Math/polynomial-approximation.mlir b/mlir/test/Dialect/Math/polynomial-approximation.mlir
index 81d071e6bbba368..badc95fa2d4aac6 100644
--- a/mlir/test/Dialect/Math/polynomial-approximation.mlir
+++ b/mlir/test/Dialect/Math/polynomial-approximation.mlir
@@ -81,6 +81,118 @@ func.func @erf_scalar(%arg0: f32) -> f32 {
   return %0 : f32
 }
 
+// CHECK-LABEL: func @erfc_scalar(
+// CHECK-SAME:    %[[val_arg0:.*]]: f32) -> f32 {
+// CHECK-DAG:     %[[c127_i32:.*]] = arith.constant 127 : i32
+// CHECK-DAG:     %[[c23_i32:.*]] = arith.constant 23 : i32
+// CHECK-DAG:     %[[cst:.*]] = arith.constant 1.270000e+02 : f32
+// CHECK-DAG:     %[[cst_0:.*]] = arith.constant -1.270000e+02 : f32
+// CHECK-DAG:     %[[cst_1:.*]] = arith.constant 8.880000e+01 : f32
+// CHECK-DAG:     %[[cst_2:.*]] = arith.constant -8.780000e+01 : f32
+// CHECK-DAG:     %[[cst_3:.*]] = arith.constant 0.166666657 : f32
+// CHECK-DAG:     %[[cst_4:.*]] = arith.constant 0.0416657962 : f32
+// CHECK-DAG:     %[[cst_5:.*]] = arith.constant 0.00833345205 : f32
+// CHECK-DAG:     %[[cst_6:.*]] = arith.constant 0.00139819994 : f32
+// CHECK-DAG:     %[[cst_7:.*]] = arith.constant 1.98756912E-4 : f32
+// CHECK-DAG:     %[[cst_8:.*]] = arith.constant 2.12194442E-4 : f32
+// CHECK-DAG:     %[[cst_9:.*]] = arith.constant -0.693359375 : f32
+// CHECK-DAG:     %[[cst_10:.*]] = arith.constant 1.44269502 : f32
+// CHECK-DAG:     %[[cst_11:.*]] = arith.constant 0.276978403 : f32
+// CHECK-DAG:     %[[cst_12:.*]] = arith.constant -0.0927639827 : f32
+// CHECK-DAG:     %[[cst_13:.*]] = arith.constant -0.166031361 : f32
+// CHECK-DAG:     %[[cst_14:.*]] = arith.constant 0.164055392 : f32
+// CHECK-DAG:     %[[cst_15:.*]] = arith.constant -0.0542046614 : f32
+// CHECK-DAG:     %[[cst_16:.*]] = arith.constant -8.059920e-03 : f32
+// CHECK-DAG:     %[[cst_17:.*]] = arith.constant 0.00863227434 : f32
+// CHECK-DAG:     %[[cst_18:.*]] = arith.constant 0.00131355342 : f32
+// CHECK-DAG:     %[[cst_19:.*]] = arith.constant -0.0012307521 : f32
+// CHECK-DAG:     %[[cst_20:.*]] = arith.constant -4.01139259E-4 : f32
+// CHECK-DAG:     %[[cst_true:.*]] = arith.constant true
+// CHECK-DAG:     %[[cst_21:.*]] = arith.constant 0.000000e+00 : f32
+// CHECK-DAG:     %[[cst_22:.*]] = arith.constant 1.000000e+00 : f32
+// CHECK-DAG:     %[[cst_23:.*]] = arith.constant 5.000000e-01 : f32
+// CHECK-DAG:     %[[cst_24:.*]] = arith.constant -4.000000e+00 : f32
+// CHECK-DAG:     %[[cst_25:.*]] = arith.constant -2.000000e+00 : f32
+// CHECK-DAG:     %[[cst_26:.*]] = arith.constant 2.000000e+00 : f32
+// CHECK-DAG:     %[[cst_27:.*]] = arith.constant 0x7F800000 : f32
+// CHECK-DAG:     %[[cst_28:.*]] = arith.constant 10.0546875 : f32
+// CHECK:         %[[val_0:.*]] = arith.cmpf olt, %[[val_arg0]], %[[cst_21]] : f32
+// CHECK:         %[[val_1:.*]] = arith.negf %[[val_arg0]] : f32
+// CHECK:         %[[val_2:.*]] = arith.select %[[val_0]], %[[val_1]], %[[val_arg0]] : f32
+// CHECK:         %[[val_3:.*]] = arith.addf %[[val_2]], %[[cst_26]] : f32
+// CHECK:         %[[val_4:.*]] = arith.divf %[[cst_22]], %[[val_3]] : f32
+// CHECK:         %[[val_5:.*]] = math.fma %[[cst_24]], %[[val_4]], %[[cst_22]] : f32
+// CHECK:         %[[val_6:.*]] = arith.addf %[[val_5]], %[[cst_22]] : f32
+// CHECK:         %[[val_7:.*]] = math.fma %[[val_6]], %[[cst_25]], %[[val_2]] : f32
+// CHECK:         %[[val_8:.*]] = arith.negf %[[val_2]] : f32
+// CHECK:         %[[val_9:.*]] = math.fma %[[val_8]], %[[val_5]], %[[val_7]] : f32
+// CHECK:         %[[val_10:.*]] = math.fma %[[val_4]], %[[val_9]], %[[val_5]] : f32
+// CHECK:         %[[val_11:.*]] = math.fma %[[cst_20]], %[[val_10]], %[[cst_19]] : f32
+// CHECK:         %[[val_12:.*]] = math.fma %[[val_11]], %[[val_10]], %[[cst_18]] : f32
+// CHECK:         %[[val_13:.*]] = math.fma %[[val_12]], %[[val_10]], %[[cst_17]] : f32
+// CHECK:         %[[val_14:.*]] = math.fma %[[val_13]], %[[val_10]], %[[cst_16]] : f32
+// CHECK:         %[[val_15:.*]] = math.fma %[[val_14]], %[[val_10]], %[[cst_15]] : f32
+// CHECK:         %[[val_16:.*]] = math.fma %[[val_15]], %[[val_10]], %[[cst_14]] : f32
+// CHECK:         %[[val_17:.*]] = math.fma %[[val_16]], %[[val_10]], %[[cst_13]] : f32
+// CHECK:         %[[val_18:.*]] = math.fma %[[val_17]], %[[val_10]], %[[cst_12]] : f32
+// CHECK:         %[[val_19:.*]] = math.fma %[[val_18]], %[[val_10]], %[[cst_11]] : f32
+// CHECK:         %[[val_20:.*]] = math.fma %[[cst_26]], %[[val_2]], %[[cst_22]] : f32
+// CHECK:         %[[val_21:.*]] = arith.divf %[[cst_22]], %[[val_20]] : f32
+// CHECK:         %[[val_22:.*]] = math.fma %[[val_19]], %[[val_21]], %[[val_21]] : f32
+// CHECK:         %[[val_23:.*]] = arith.subf %[[val_19]], %[[val_22]] : f32
+// CHECK:         %[[val_24:.*]] = arith.negf %[[val_2]] : f32
+// CHECK:         %[[val_25:.*]] = math.fma %[[val_22]], %[[val_24]], %[[cst_23]] : f32
+// CHECK:         %[[val_26:.*]] = math.fma %[[val_25]], %[[cst_26]], %[[val_23]] : f32
+// CHECK:         %[[val_27:.*]] = math.fma %[[val_26]], %[[val_21]], %[[val_22]] : f32
+// CHECK:         %[[val_28:.*]] = arith.mulf %[[val_2]], %[[val_2]] : f32
+// CHECK:         %[[val_29:.*]] = arith.negf %[[val_28]] : f32
+// CHECK:         %[[val_30:.*]] = arith.cmpf uge, %[[val_29]], %[[cst_2]] : f32
+// CHECK:         %[[val_31:.*]] = arith.select %[[val_30]], %[[val_29]], %[[cst_2]] : f32
+// CHECK:         %[[val_32:.*]] = arith.cmpf ule, %[[val_31]], %[[cst_1]] : f32
+// CHECK:         %[[val_33:.*]] = arith.select %[[val_32]], %[[val_31]], %[[cst_1]] : f32
+// CHECK:         %[[val_34:.*]] = math.fma %[[val_33]], %[[cst_10]], %[[cst_23]] : f32
+// CHECK:         %[[val_35:.*]] = math.floor %[[val_34]] : f32
+// CHECK:         %[[val_36:.*]] = arith.cmpf uge, %[[val_35]], %[[cst_0]] : f32
+// CHECK:         %[[val_37:.*]] = arith.select %[[val_36]], %[[val_35]], %[[cst_0]] : f32
+// CHECK:         %[[val_38:.*]] = arith.cmpf ule, %[[val_37]], %[[cst]] : f32
+// CHECK:         %[[val_39:.*]] = arith.select %[[val_38]], %[[val_37]], %[[cst]] : f32
+// CHECK:         %[[val_40:.*]] = math.fma %[[cst_9]], %[[val_39]], %[[val_33]] : f32
+// CHECK:         %[[val_41:.*]] = math.fma %[[cst_8]], %[[val_39]], %[[val_40]] : f32
+// CHECK:         %[[val_42:.*]] = math.fma %[[val_41]], %[[cst_7]], %[[cst_6]] : f32
+// CHECK:         %[[val_43:.*]] = math.fma %[[val_42]], %[[val_41]], %[[cst_5]] : f32
+// CHECK:         %[[val_44:.*]] = math.fma %[[val_43]], %[[val_41]], %[[cst_4]] : f32
+// CHECK:         %[[val_45:.*]] = math.fma %[[val_44]], %[[val_41]], %[[cst_3]] : f32
+// CHECK:         %[[val_46:.*]] = math.fma %[[val_45]], %[[val_41]], %[[cst_23]] : f32
+// CHECK:         %[[val_47:.*]] = arith.mulf %[[val_41]], %[[val_41]] : f32
+// CHECK:         %[[val_48:.*]] = math.fma %[[val_46]], %[[val_47]], %[[val_41]] : f32
+// CHECK:         %[[val_49:.*]] = arith.addf %[[val_48]], %[[cst_22]] : f32
+// CHECK:         %[[val_50:.*]] = arith.fptosi %[[val_39]] : f32 to i32
+// CHECK:         %[[val_51:.*]] = arith.addi %[[val_50]], %[[c127_i32]] : i32
+// CHECK:         %[[val_52:.*]] = arith.shli %[[val_51]], %[[c23_i32]] : i32
+// CHECK:         %[[val_53:.*]] = arith.bitcast %[[val_52]] : i32 to f32
+// CHECK:         %[[val_54:.*]] = arith.mulf %[[val_49]], %[[val_53]] : f32
+// CHECK:         %[[val_55:.*]] = arith.negf %[[val_2]] : f32
+// CHECK:         %[[val_56:.*]] = math.fma %[[val_55]], %[[val_2]], %[[val_28]] : f32
+// CHECK:         %[[val_57:.*]] = arith.mulf %[[val_27]], %[[val_54]] : f32
+// CHECK:         %[[val_58:.*]] = arith.mulf %[[val_57]], %[[val_56]] : f32
+// CHECK:         %[[val_59:.*]] = math.fma %[[val_27]], %[[val_54]], %[[val_58]] : f32
+// CHECK:         %[[val_60:.*]] = arith.cmpf olt, %[[val_2]], %[[cst_27]] : f32
+// CHECK:         %[[val_61:.*]] = arith.xori %[[val_60]], %[[cst_true]] : i1
+// CHECK:         %[[val_62:.*]] = arith.addf %[[val_arg0]], %[[val_arg0]] : f32
+// CHECK:         %[[val_63:.*]] = arith.select %[[val_61]], %[[val_62]], %[[val_59]] : f32
+// CHECK:         %[[val_64:.*]] = arith.cmpf ogt, %[[val_2]], %[[cst_28]] : f32
+// CHECK:         %[[val_65:.*]] = arith.select %[[val_64]], %[[cst_21]], %[[val_63]] : f32
+// CHECK:         %[[val_66:.*]] = arith.cmpf olt, %[[val_arg0]], %[[cst_21]] : f32
+// CHECK:         %[[val_67:.*]] = arith.subf %[[cst_26]], %[[val_65]] : f32
+// CHECK:         %[[val_68:.*]] = arith.select %[[val_66]], %[[val_67]], %[[val_65]] : f32
+// CHECK:         return %[[val_68]] : f32
+// CHECK:       }
+
+func.func @erfc_scalar(%arg0: f32) -> f32 {
+  %0 = math.erfc %arg0 : f32
+  return %0 : f32
+}
+
 // CHECK-LABEL:   func @erf_vector(
 // CHECK-SAME:                     %[[arg0:.*]]: vector<8xf32>) -> vector<8xf32> {
 // CHECK:           %[[zero:.*]] = arith.constant dense<0.000000e+00> : vector<8xf32>
diff --git a/mlir/test/mlir-runner/math-polynomial-approx.mlir b/mlir/test/mlir-runner/math-polynomial-approx.mlir
index 148ef25cead623f..6ed03916f1e1573 100644
--- a/mlir/test/mlir-runner/math-polynomial-approx.mlir
+++ b/mlir/test/mlir-runner/math-polynomial-approx.mlir
@@ -273,6 +273,77 @@ func.func @erf() {
   return
 }
 
+// -------------------------------------------------------------------------- //
+// Erfc.
+// -------------------------------------------------------------------------- //
+func.func @erfc_f32(%a : f32) {
+  %r = math.erfc %a : f32
+  vector.print %r : f32
+  return
+}
+
+func.func @erfc_4xf32(%a : vector<4xf32>) {
+  %r = math.erfc %a : vector<4xf32>
+  vector.print %r : vector<4xf32>
+  return
+}
+
+func.func @erfc() {
+  // CHECK: 1.00027
+  %val1 = arith.constant -2.431864e-4 : f32
+  call @erfc_f32(%val1) : (f32) -> ()
+
+  // CHECK: 0.257905
+  %val2 = arith.constant 0.79999 : f32
+  call @erfc_f32(%val2) : (f32) -> ()
+
+  // CHECK: 0.257899
+  %val3 = arith.constant 0.8 : f32
+  call @erfc_f32(%val3) : (f32) -> ()
+
+  // CHECK: 0.00467794
+  %val4 = arith.constant 1.99999 : f32
+  call @erfc_f32(%val4) : (f32) -> ()
+
+  // CHECK: 0.00467774
+  %val5 = arith.constant 2.0 : f32
+  call @erfc_f32(%val5) : (f32) -> ()
+
+  // CHECK: 1.13736e-07
+  %val6 = arith.constant 3.74999 : f32
+  call @erfc_f32(%val6) : (f32) -> ()
+
+  // CHECK: 1.13727e-07
+  %val7 = arith.constant 3.75 : f32
+  call @erfc_f32(%val7) : (f32) -> ()
+
+  // CHECK: 2
+  %negativeInf = arith.constant 0xff800000 : f32
+  call @erfc_f32(%negativeInf) : (f32) -> ()
+
+  // CHECK: 2, 2, 1.91376, 1.73145
+  %vecVals1 = arith.constant dense<[-3.4028235e+38, -4.54318, -1.2130899, -7.8234202e-01]> : vector<4xf32>
+  call @erfc_4xf32(%vecVals1) : (vector<4xf32>) -> ()
+
+  // CHECK: 1, 1, 1, 0.878681
+  %vecVals2 = arith.constant dense<[-1.1754944e-38, 0.0, 1.1754944e-38, 1.0793410e-01]> : vector<4xf32>
+  call @erfc_4xf32(%vecVals2) : (vector<4xf32>) -> ()
+
+  // CHECK: 0.0805235, 0.000931045, 6.40418e-08, 0
+  %vecVals3 = arith.constant dense<[1.23578, 2.34093, 3.82342, 3.4028235e+38]> : vector<4xf32>
+  call @erfc_4xf32(%vecVals3) : (vector<4xf32>) -> ()
+
+  // CHECK: 0
+  %inf = arith.constant 0x7f800000 : f32
+  call @erfc_f32(%inf) : (f32) -> ()
+
+  // CHECK: nan
+  %nan = arith.constant 0x7fc00000 : f32
+  call @erfc_f32(%nan) : (f32) -> ()
+
+  return
+}
+
 // -------------------------------------------------------------------------- //
 // Exp.
 // -------------------------------------------------------------------------- //
@@ -772,6 +843,7 @@ func.func @main() {
   call @log2(): () -> ()
   call @log1p(): () -> ()
   call @erf(): () -> ()
+  call @erfc(): () -> ()
   call @exp(): () -> ()
   call @expm1(): () -> ()
   call @sin(): () -> ()
diff --git a/mlir/utils/vim/syntax/mlir.vim b/mlir/utils/vim/syntax/mlir.vim
index 7989032eada8880..070d81658ca3d27 100644
--- a/mlir/utils/vim/syntax/mlir.vim
+++ b/mlir/utils/vim/syntax/mlir.vim
@@ -44,6 +44,7 @@ syn keyword mlirOps view
 
 " Math ops.
 syn match mlirOps /\<math\.erf\>/
+syn match mlirOps /\<math\.erfc\>/
 
 " Affine ops.
 syn match mlirOps /\<affine\.apply\>/

>From 179d425480e9fbb51a2b7f0cf84c85df579a499e Mon Sep 17 00:00:00 2001
From: Jan Leyonberg <jan_sjodin at yahoo.com>
Date: Sun, 9 Feb 2025 21:11:24 -0500
Subject: [PATCH 2/2] Use CHECK-NEXT to see where mismatch happens on Linux.

---
 .../Math/polynomial-approximation.mlir        | 140 +++++++++---------
 1 file changed, 70 insertions(+), 70 deletions(-)

diff --git a/mlir/test/Dialect/Math/polynomial-approximation.mlir b/mlir/test/Dialect/Math/polynomial-approximation.mlir
index badc95fa2d4aac6..ca37fdf1edc4553 100644
--- a/mlir/test/Dialect/Math/polynomial-approximation.mlir
+++ b/mlir/test/Dialect/Math/polynomial-approximation.mlir
@@ -117,76 +117,76 @@ func.func @erf_scalar(%arg0: f32) -> f32 {
 // CHECK-DAG:     %[[cst_27:.*]] = arith.constant 0x7F800000 : f32
 // CHECK-DAG:     %[[cst_28:.*]] = arith.constant 10.0546875 : f32
 // CHECK:         %[[val_0:.*]] = arith.cmpf olt, %[[val_arg0]], %[[cst_21]] : f32
-// CHECK:         %[[val_1:.*]] = arith.negf %[[val_arg0]] : f32
-// CHECK:         %[[val_2:.*]] = arith.select %[[val_0]], %[[val_1]], %[[val_arg0]] : f32
-// CHECK:         %[[val_3:.*]] = arith.addf %[[val_2]], %[[cst_26]] : f32
-// CHECK:         %[[val_4:.*]] = arith.divf %[[cst_22]], %[[val_3]] : f32
-// CHECK:         %[[val_5:.*]] = math.fma %[[cst_24]], %[[val_4]], %[[cst_22]] : f32
-// CHECK:         %[[val_6:.*]] = arith.addf %[[val_5]], %[[cst_22]] : f32
-// CHECK:         %[[val_7:.*]] = math.fma %[[val_6]], %[[cst_25]], %[[val_2]] : f32
-// CHECK:         %[[val_8:.*]] = arith.negf %[[val_2]] : f32
-// CHECK:         %[[val_9:.*]] = math.fma %[[val_8]], %[[val_5]], %[[val_7]] : f32
-// CHECK:         %[[val_10:.*]] = math.fma %[[val_4]], %[[val_9]], %[[val_5]] : f32
-// CHECK:         %[[val_11:.*]] = math.fma %[[cst_20]], %[[val_10]], %[[cst_19]] : f32
-// CHECK:         %[[val_12:.*]] = math.fma %[[val_11]], %[[val_10]], %[[cst_18]] : f32
-// CHECK:         %[[val_13:.*]] = math.fma %[[val_12]], %[[val_10]], %[[cst_17]] : f32
-// CHECK:         %[[val_14:.*]] = math.fma %[[val_13]], %[[val_10]], %[[cst_16]] : f32
-// CHECK:         %[[val_15:.*]] = math.fma %[[val_14]], %[[val_10]], %[[cst_15]] : f32
-// CHECK:         %[[val_16:.*]] = math.fma %[[val_15]], %[[val_10]], %[[cst_14]] : f32
-// CHECK:         %[[val_17:.*]] = math.fma %[[val_16]], %[[val_10]], %[[cst_13]] : f32
-// CHECK:         %[[val_18:.*]] = math.fma %[[val_17]], %[[val_10]], %[[cst_12]] : f32
-// CHECK:         %[[val_19:.*]] = math.fma %[[val_18]], %[[val_10]], %[[cst_11]] : f32
-// CHECK:         %[[val_20:.*]] = math.fma %[[cst_26]], %[[val_2]], %[[cst_22]] : f32
-// CHECK:         %[[val_21:.*]] = arith.divf %[[cst_22]], %[[val_20]] : f32
-// CHECK:         %[[val_22:.*]] = math.fma %[[val_19]], %[[val_21]], %[[val_21]] : f32
-// CHECK:         %[[val_23:.*]] = arith.subf %[[val_19]], %[[val_22]] : f32
-// CHECK:         %[[val_24:.*]] = arith.negf %[[val_2]] : f32
-// CHECK:         %[[val_25:.*]] = math.fma %[[val_22]], %[[val_24]], %[[cst_23]] : f32
-// CHECK:         %[[val_26:.*]] = math.fma %[[val_25]], %[[cst_26]], %[[val_23]] : f32
-// CHECK:         %[[val_27:.*]] = math.fma %[[val_26]], %[[val_21]], %[[val_22]] : f32
-// CHECK:         %[[val_28:.*]] = arith.mulf %[[val_2]], %[[val_2]] : f32
-// CHECK:         %[[val_29:.*]] = arith.negf %[[val_28]] : f32
-// CHECK:         %[[val_30:.*]] = arith.cmpf uge, %[[val_29]], %[[cst_2]] : f32
-// CHECK:         %[[val_31:.*]] = arith.select %[[val_30]], %[[val_29]], %[[cst_2]] : f32
-// CHECK:         %[[val_32:.*]] = arith.cmpf ule, %[[val_31]], %[[cst_1]] : f32
-// CHECK:         %[[val_33:.*]] = arith.select %[[val_32]], %[[val_31]], %[[cst_1]] : f32
-// CHECK:         %[[val_34:.*]] = math.fma %[[val_33]], %[[cst_10]], %[[cst_23]] : f32
-// CHECK:         %[[val_35:.*]] = math.floor %[[val_34]] : f32
-// CHECK:         %[[val_36:.*]] = arith.cmpf uge, %[[val_35]], %[[cst_0]] : f32
-// CHECK:         %[[val_37:.*]] = arith.select %[[val_36]], %[[val_35]], %[[cst_0]] : f32
-// CHECK:         %[[val_38:.*]] = arith.cmpf ule, %[[val_37]], %[[cst]] : f32
-// CHECK:         %[[val_39:.*]] = arith.select %[[val_38]], %[[val_37]], %[[cst]] : f32
-// CHECK:         %[[val_40:.*]] = math.fma %[[cst_9]], %[[val_39]], %[[val_33]] : f32
-// CHECK:         %[[val_41:.*]] = math.fma %[[cst_8]], %[[val_39]], %[[val_40]] : f32
-// CHECK:         %[[val_42:.*]] = math.fma %[[val_41]], %[[cst_7]], %[[cst_6]] : f32
-// CHECK:         %[[val_43:.*]] = math.fma %[[val_42]], %[[val_41]], %[[cst_5]] : f32
-// CHECK:         %[[val_44:.*]] = math.fma %[[val_43]], %[[val_41]], %[[cst_4]] : f32
-// CHECK:         %[[val_45:.*]] = math.fma %[[val_44]], %[[val_41]], %[[cst_3]] : f32
-// CHECK:         %[[val_46:.*]] = math.fma %[[val_45]], %[[val_41]], %[[cst_23]] : f32
-// CHECK:         %[[val_47:.*]] = arith.mulf %[[val_41]], %[[val_41]] : f32
-// CHECK:         %[[val_48:.*]] = math.fma %[[val_46]], %[[val_47]], %[[val_41]] : f32
-// CHECK:         %[[val_49:.*]] = arith.addf %[[val_48]], %[[cst_22]] : f32
-// CHECK:         %[[val_50:.*]] = arith.fptosi %[[val_39]] : f32 to i32
-// CHECK:         %[[val_51:.*]] = arith.addi %[[val_50]], %[[c127_i32]] : i32
-// CHECK:         %[[val_52:.*]] = arith.shli %[[val_51]], %[[c23_i32]] : i32
-// CHECK:         %[[val_53:.*]] = arith.bitcast %[[val_52]] : i32 to f32
-// CHECK:         %[[val_54:.*]] = arith.mulf %[[val_49]], %[[val_53]] : f32
-// CHECK:         %[[val_55:.*]] = arith.negf %[[val_2]] : f32
-// CHECK:         %[[val_56:.*]] = math.fma %[[val_55]], %[[val_2]], %[[val_28]] : f32
-// CHECK:         %[[val_57:.*]] = arith.mulf %[[val_27]], %[[val_54]] : f32
-// CHECK:         %[[val_58:.*]] = arith.mulf %[[val_57]], %[[val_56]] : f32
-// CHECK:         %[[val_59:.*]] = math.fma %[[val_27]], %[[val_54]], %[[val_58]] : f32
-// CHECK:         %[[val_60:.*]] = arith.cmpf olt, %[[val_2]], %[[cst_27]] : f32
-// CHECK:         %[[val_61:.*]] = arith.xori %[[val_60]], %[[cst_true]] : i1
-// CHECK:         %[[val_62:.*]] = arith.addf %[[val_arg0]], %[[val_arg0]] : f32
-// CHECK:         %[[val_63:.*]] = arith.select %[[val_61]], %[[val_62]], %[[val_59]] : f32
-// CHECK:         %[[val_64:.*]] = arith.cmpf ogt, %[[val_2]], %[[cst_28]] : f32
-// CHECK:         %[[val_65:.*]] = arith.select %[[val_64]], %[[cst_21]], %[[val_63]] : f32
-// CHECK:         %[[val_66:.*]] = arith.cmpf olt, %[[val_arg0]], %[[cst_21]] : f32
-// CHECK:         %[[val_67:.*]] = arith.subf %[[cst_26]], %[[val_65]] : f32
-// CHECK:         %[[val_68:.*]] = arith.select %[[val_66]], %[[val_67]], %[[val_65]] : f32
-// CHECK:         return %[[val_68]] : f32
-// CHECK:       }
+// CHECK-NEXT:    %[[val_1:.*]] = arith.negf %[[val_arg0]] : f32
+// CHECK-NEXT:         %[[val_2:.*]] = arith.select %[[val_0]], %[[val_1]], %[[val_arg0]] : f32
+// CHECK-NEXT:         %[[val_3:.*]] = arith.addf %[[val_2]], %[[cst_26]] : f32
+// CHECK-NEXT:         %[[val_4:.*]] = arith.divf %[[cst_22]], %[[val_3]] : f32
+// CHECK-NEXT:         %[[val_5:.*]] = math.fma %[[cst_24]], %[[val_4]], %[[cst_22]] : f32
+// CHECK-NEXT:         %[[val_6:.*]] = arith.addf %[[val_5]], %[[cst_22]] : f32
+// CHECK-NEXT:         %[[val_7:.*]] = math.fma %[[val_6]], %[[cst_25]], %[[val_2]] : f32
+// CHECK-NEXT:         %[[val_8:.*]] = arith.negf %[[val_2]] : f32
+// CHECK-NEXT:         %[[val_9:.*]] = math.fma %[[val_8]], %[[val_5]], %[[val_7]] : f32
+// CHECK-NEXT:         %[[val_10:.*]] = math.fma %[[val_4]], %[[val_9]], %[[val_5]] : f32
+// CHECK-NEXT:         %[[val_11:.*]] = math.fma %[[cst_20]], %[[val_10]], %[[cst_19]] : f32
+// CHECK-NEXT:         %[[val_12:.*]] = math.fma %[[val_11]], %[[val_10]], %[[cst_18]] : f32
+// CHECK-NEXT:         %[[val_13:.*]] = math.fma %[[val_12]], %[[val_10]], %[[cst_17]] : f32
+// CHECK-NEXT:         %[[val_14:.*]] = math.fma %[[val_13]], %[[val_10]], %[[cst_16]] : f32
+// CHECK-NEXT:         %[[val_15:.*]] = math.fma %[[val_14]], %[[val_10]], %[[cst_15]] : f32
+// CHECK-NEXT:         %[[val_16:.*]] = math.fma %[[val_15]], %[[val_10]], %[[cst_14]] : f32
+// CHECK-NEXT:         %[[val_17:.*]] = math.fma %[[val_16]], %[[val_10]], %[[cst_13]] : f32
+// CHECK-NEXT:         %[[val_18:.*]] = math.fma %[[val_17]], %[[val_10]], %[[cst_12]] : f32
+// CHECK-NEXT:         %[[val_19:.*]] = math.fma %[[val_18]], %[[val_10]], %[[cst_11]] : f32
+// CHECK-NEXT:         %[[val_20:.*]] = math.fma %[[cst_26]], %[[val_2]], %[[cst_22]] : f32
+// CHECK-NEXT:         %[[val_21:.*]] = arith.divf %[[cst_22]], %[[val_20]] : f32
+// CHECK-NEXT:         %[[val_22:.*]] = math.fma %[[val_19]], %[[val_21]], %[[val_21]] : f32
+// CHECK-NEXT:         %[[val_23:.*]] = arith.subf %[[val_19]], %[[val_22]] : f32
+// CHECK-NEXT:         %[[val_24:.*]] = arith.negf %[[val_2]] : f32
+// CHECK-NEXT:         %[[val_25:.*]] = math.fma %[[val_22]], %[[val_24]], %[[cst_23]] : f32
+// CHECK-NEXT:         %[[val_26:.*]] = math.fma %[[val_25]], %[[cst_26]], %[[val_23]] : f32
+// CHECK-NEXT:         %[[val_27:.*]] = math.fma %[[val_26]], %[[val_21]], %[[val_22]] : f32
+// CHECK-NEXT:         %[[val_28:.*]] = arith.mulf %[[val_2]], %[[val_2]] : f32
+// CHECK-NEXT:         %[[val_29:.*]] = arith.negf %[[val_28]] : f32
+// CHECK-NEXT:         %[[val_30:.*]] = arith.cmpf uge, %[[val_29]], %[[cst_2]] : f32
+// CHECK-NEXT:         %[[val_31:.*]] = arith.select %[[val_30]], %[[val_29]], %[[cst_2]] : f32
+// CHECK-NEXT:         %[[val_32:.*]] = arith.cmpf ule, %[[val_31]], %[[cst_1]] : f32
+// CHECK-NEXT:         %[[val_33:.*]] = arith.select %[[val_32]], %[[val_31]], %[[cst_1]] : f32
+// CHECK-NEXT:         %[[val_34:.*]] = math.fma %[[val_33]], %[[cst_10]], %[[cst_23]] : f32
+// CHECK-NEXT:         %[[val_35:.*]] = math.floor %[[val_34]] : f32
+// CHECK-NEXT:         %[[val_36:.*]] = arith.cmpf uge, %[[val_35]], %[[cst_0]] : f32
+// CHECK-NEXT:         %[[val_37:.*]] = arith.select %[[val_36]], %[[val_35]], %[[cst_0]] : f32
+// CHECK-NEXT:         %[[val_38:.*]] = arith.cmpf ule, %[[val_37]], %[[cst]] : f32
+// CHECK-NEXT:         %[[val_39:.*]] = arith.select %[[val_38]], %[[val_37]], %[[cst]] : f32
+// CHECK-NEXT:         %[[val_40:.*]] = math.fma %[[cst_9]], %[[val_39]], %[[val_33]] : f32
+// CHECK-NEXT:         %[[val_41:.*]] = math.fma %[[cst_8]], %[[val_39]], %[[val_40]] : f32
+// CHECK-NEXT:         %[[val_42:.*]] = math.fma %[[val_41]], %[[cst_7]], %[[cst_6]] : f32
+// CHECK-NEXT:         %[[val_43:.*]] = math.fma %[[val_42]], %[[val_41]], %[[cst_5]] : f32
+// CHECK-NEXT:         %[[val_44:.*]] = math.fma %[[val_43]], %[[val_41]], %[[cst_4]] : f32
+// CHECK-NEXT:         %[[val_45:.*]] = math.fma %[[val_44]], %[[val_41]], %[[cst_3]] : f32
+// CHECK-NEXT:         %[[val_46:.*]] = math.fma %[[val_45]], %[[val_41]], %[[cst_23]] : f32
+// CHECK-NEXT:         %[[val_47:.*]] = arith.mulf %[[val_41]], %[[val_41]] : f32
+// CHECK-NEXT:         %[[val_48:.*]] = math.fma %[[val_46]], %[[val_47]], %[[val_41]] : f32
+// CHECK-NEXT:         %[[val_49:.*]] = arith.addf %[[val_48]], %[[cst_22]] : f32
+// CHECK-NEXT:         %[[val_50:.*]] = arith.fptosi %[[val_39]] : f32 to i32
+// CHECK-NEXT:         %[[val_51:.*]] = arith.addi %[[val_50]], %[[c127_i32]] : i32
+// CHECK-NEXT:         %[[val_52:.*]] = arith.shli %[[val_51]], %[[c23_i32]] : i32
+// CHECK-NEXT:         %[[val_53:.*]] = arith.bitcast %[[val_52]] : i32 to f32
+// CHECK-NEXT:         %[[val_54:.*]] = arith.mulf %[[val_49]], %[[val_53]] : f32
+// CHECK-NEXT:         %[[val_55:.*]] = arith.negf %[[val_2]] : f32
+// CHECK-NEXT:         %[[val_56:.*]] = math.fma %[[val_55]], %[[val_2]], %[[val_28]] : f32
+// CHECK-NEXT:         %[[val_57:.*]] = arith.mulf %[[val_27]], %[[val_54]] : f32
+// CHECK-NEXT:         %[[val_58:.*]] = arith.mulf %[[val_57]], %[[val_56]] : f32
+// CHECK-NEXT:         %[[val_59:.*]] = math.fma %[[val_27]], %[[val_54]], %[[val_58]] : f32
+// CHECK-NEXT:         %[[val_60:.*]] = arith.cmpf olt, %[[val_2]], %[[cst_27]] : f32
+// CHECK-NEXT:         %[[val_61:.*]] = arith.xori %[[val_60]], %[[cst_true]] : i1
+// CHECK-NEXT:         %[[val_62:.*]] = arith.addf %[[val_arg0]], %[[val_arg0]] : f32
+// CHECK-NEXT:         %[[val_63:.*]] = arith.select %[[val_61]], %[[val_62]], %[[val_59]] : f32
+// CHECK-NEXT:         %[[val_64:.*]] = arith.cmpf ogt, %[[val_2]], %[[cst_28]] : f32
+// CHECK-NEXT:         %[[val_65:.*]] = arith.select %[[val_64]], %[[cst_21]], %[[val_63]] : f32
+// CHECK-NEXT:         %[[val_66:.*]] = arith.cmpf olt, %[[val_arg0]], %[[cst_21]] : f32
+// CHECK-NEXT:         %[[val_67:.*]] = arith.subf %[[cst_26]], %[[val_65]] : f32
+// CHECK-NEXT:         %[[val_68:.*]] = arith.select %[[val_66]], %[[val_67]], %[[val_65]] : f32
+// CHECK-NEXT:         return %[[val_68]] : f32
+// CHECK-NEXT:       }
 
 func.func @erfc_scalar(%arg0: f32) -> f32 {
   %0 = math.erfc %arg0 : f32



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