[mlir][math] powi with negative exponent should invert at the end (#135735)
Previously, an FPowI operation would invert the base *before* performing a sequence of multiplications, but this led to discrepancies between LLVM pow intrinsic folding and that coming from the math dialect. See compiler-rt's version, which does the inverse at the end of the calculation: compiler-rt/lib/builtins/powidf2.c
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@@ -197,11 +197,6 @@ PowIStrengthReduction<PowIOpTy, DivOpTy, MulOpTy>::matchAndRewrite(
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if (exponentValue > exponentThreshold)
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return failure();
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// Inverse the base for negative exponent, i.e. for
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// `[fi]powi(x, negative_exponent)` set `x` to `1 / x`.
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if (exponentIsNegative)
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base = rewriter.create<DivOpTy>(loc, bcast(one), base);
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Value result = base;
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// Transform to naive sequence of multiplications:
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// * For positive exponent case replace:
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@@ -215,6 +210,11 @@ PowIStrengthReduction<PowIOpTy, DivOpTy, MulOpTy>::matchAndRewrite(
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for (unsigned i = 1; i < exponentValue; ++i)
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result = rewriter.create<MulOpTy>(loc, result, base);
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// Inverse the base for negative exponent, i.e. for
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// `[fi]powi(x, negative_exponent)` set `x` to `1 / x`.
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if (exponentIsNegative)
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result = rewriter.create<DivOpTy>(loc, bcast(one), result);
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rewriter.replaceOp(op, result);
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return success();
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}
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@@ -135,11 +135,11 @@ func.func @ipowi_exp_two(%arg0: i32, %arg1: vector<4xi32>) -> (i32, vector<4xi32
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// CHECK-DAG: %[[CST_V:.*]] = arith.constant dense<1> : vector<4xi32>
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// CHECK: %[[SCALAR0:.*]] = arith.muli %[[ARG0]], %[[ARG0]]
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// CHECK: %[[VECTOR0:.*]] = arith.muli %[[ARG1]], %[[ARG1]]
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// CHECK: %[[SCALAR1:.*]] = arith.divsi %[[CST_S]], %[[ARG0]]
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// CHECK: %[[SMUL:.*]] = arith.muli %[[SCALAR1]], %[[SCALAR1]]
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// CHECK: %[[VECTOR1:.*]] = arith.divsi %[[CST_V]], %[[ARG1]]
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// CHECK: %[[VMUL:.*]] = arith.muli %[[VECTOR1]], %[[VECTOR1]]
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// CHECK: return %[[SCALAR0]], %[[VECTOR0]], %[[SMUL]], %[[VMUL]]
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// CHECK: %[[SMUL:.*]] = arith.muli %[[ARG0]], %[[ARG0]]
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// CHECK: %[[SCALAR1:.*]] = arith.divsi %[[CST_S]], %[[SMUL]]
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// CHECK: %[[VMUL:.*]] = arith.muli %[[ARG1]], %[[ARG1]]
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// CHECK: %[[VECTOR1:.*]] = arith.divsi %[[CST_V]], %[[VMUL]]
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// CHECK: return %[[SCALAR0]], %[[VECTOR0]], %[[SCALAR1]], %[[VECTOR1]]
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%c1 = arith.constant 2 : i32
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%v1 = arith.constant dense <2> : vector<4xi32>
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%0 = math.ipowi %arg0, %c1 : i32
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@@ -162,13 +162,13 @@ func.func @ipowi_exp_three(%arg0: i32, %arg1: vector<4xi32>) -> (i32, vector<4xi
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// CHECK: %[[SCALAR0:.*]] = arith.muli %[[SMUL0]], %[[ARG0]]
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// CHECK: %[[VMUL0:.*]] = arith.muli %[[ARG1]], %[[ARG1]]
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// CHECK: %[[VECTOR0:.*]] = arith.muli %[[VMUL0]], %[[ARG1]]
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// CHECK: %[[SCALAR1:.*]] = arith.divsi %[[CST_S]], %[[ARG0]]
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// CHECK: %[[SMUL1:.*]] = arith.muli %[[SCALAR1]], %[[SCALAR1]]
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// CHECK: %[[SMUL2:.*]] = arith.muli %[[SMUL1]], %[[SCALAR1]]
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// CHECK: %[[VECTOR1:.*]] = arith.divsi %[[CST_V]], %[[ARG1]]
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// CHECK: %[[VMUL1:.*]] = arith.muli %[[VECTOR1]], %[[VECTOR1]]
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// CHECK: %[[VMUL2:.*]] = arith.muli %[[VMUL1]], %[[VECTOR1]]
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// CHECK: return %[[SCALAR0]], %[[VECTOR0]], %[[SMUL2]], %[[VMUL2]]
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// CHECK: %[[SMUL1:.*]] = arith.muli %[[ARG0]], %[[ARG0]]
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// CHECK: %[[SMUL2:.*]] = arith.muli %[[SMUL1]], %[[ARG0]]
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// CHECK: %[[SCALAR1:.*]] = arith.divsi %[[CST_S]], %[[SMUL2]]
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// CHECK: %[[VMUL1:.*]] = arith.muli %[[ARG1]], %[[ARG1]]
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// CHECK: %[[VMUL2:.*]] = arith.muli %[[VMUL1]], %[[ARG1]]
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// CHECK: %[[VECTOR1:.*]] = arith.divsi %[[CST_V]], %[[VMUL2]]
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// CHECK: return %[[SCALAR0]], %[[VECTOR0]], %[[SCALAR1]], %[[VECTOR1]]
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%c1 = arith.constant 3 : i32
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%v1 = arith.constant dense <3> : vector<4xi32>
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%0 = math.ipowi %arg0, %c1 : i32
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@@ -225,11 +225,11 @@ func.func @fpowi_exp_two(%arg0: f32, %arg1: vector<4xf32>) -> (f32, vector<4xf32
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// CHECK-DAG: %[[CST_V:.*]] = arith.constant dense<1.000000e+00> : vector<4xf32>
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// CHECK: %[[SCALAR0:.*]] = arith.mulf %[[ARG0]], %[[ARG0]]
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// CHECK: %[[VECTOR0:.*]] = arith.mulf %[[ARG1]], %[[ARG1]]
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// CHECK: %[[SCALAR1:.*]] = arith.divf %[[CST_S]], %[[ARG0]]
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// CHECK: %[[SMUL:.*]] = arith.mulf %[[SCALAR1]], %[[SCALAR1]]
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// CHECK: %[[VECTOR1:.*]] = arith.divf %[[CST_V]], %[[ARG1]]
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// CHECK: %[[VMUL:.*]] = arith.mulf %[[VECTOR1]], %[[VECTOR1]]
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// CHECK: return %[[SCALAR0]], %[[VECTOR0]], %[[SMUL]], %[[VMUL]]
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// CHECK: %[[SMUL:.*]] = arith.mulf %[[ARG0]], %[[ARG0]]
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// CHECK: %[[SCALAR1:.*]] = arith.divf %[[CST_S]], %[[SMUL]]
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// CHECK: %[[VMUL:.*]] = arith.mulf %[[ARG1]], %[[ARG1]]
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// CHECK: %[[VECTOR1:.*]] = arith.divf %[[CST_V]], %[[VMUL]]
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// CHECK: return %[[SCALAR0]], %[[VECTOR0]], %[[SCALAR1]], %[[VECTOR1]]
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%c1 = arith.constant 2 : i32
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%v1 = arith.constant dense <2> : vector<4xi32>
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%0 = math.fpowi %arg0, %c1 : f32, i32
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@@ -252,13 +252,13 @@ func.func @fpowi_exp_three(%arg0: f32, %arg1: vector<4xf32>) -> (f32, vector<4xf
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// CHECK: %[[SCALAR0:.*]] = arith.mulf %[[SMUL0]], %[[ARG0]]
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// CHECK: %[[VMUL0:.*]] = arith.mulf %[[ARG1]], %[[ARG1]]
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// CHECK: %[[VECTOR0:.*]] = arith.mulf %[[VMUL0]], %[[ARG1]]
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// CHECK: %[[SCALAR1:.*]] = arith.divf %[[CST_S]], %[[ARG0]]
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// CHECK: %[[SMUL1:.*]] = arith.mulf %[[SCALAR1]], %[[SCALAR1]]
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// CHECK: %[[SMUL2:.*]] = arith.mulf %[[SMUL1]], %[[SCALAR1]]
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// CHECK: %[[VECTOR1:.*]] = arith.divf %[[CST_V]], %[[ARG1]]
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// CHECK: %[[VMUL1:.*]] = arith.mulf %[[VECTOR1]], %[[VECTOR1]]
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// CHECK: %[[VMUL2:.*]] = arith.mulf %[[VMUL1]], %[[VECTOR1]]
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// CHECK: return %[[SCALAR0]], %[[VECTOR0]], %[[SMUL2]], %[[VMUL2]]
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// CHECK: %[[SMUL1:.*]] = arith.mulf %[[ARG0]], %[[ARG0]]
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// CHECK: %[[SMUL2:.*]] = arith.mulf %[[SMUL1]], %[[ARG0]]
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// CHECK: %[[SCALAR1:.*]] = arith.divf %[[CST_S]], %[[SMUL2]]
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// CHECK: %[[VMUL1:.*]] = arith.mulf %[[ARG1]], %[[ARG1]]
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// CHECK: %[[VMUL2:.*]] = arith.mulf %[[VMUL1]], %[[ARG1]]
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// CHECK: %[[VECTOR1:.*]] = arith.divf %[[CST_V]], %[[VMUL2]]
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// CHECK: return %[[SCALAR0]], %[[VECTOR0]], %[[SCALAR1]], %[[VECTOR1]]
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%c1 = arith.constant 3 : i32
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%v1 = arith.constant dense <3> : vector<4xi32>
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%0 = math.fpowi %arg0, %c1 : f32, i32
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