[Mlir-commits] [mlir] de09986 - [mlir][math] `powf(a, b)` drop support when a < 0 (#126338)

llvmlistbot at llvm.org llvmlistbot at llvm.org
Thu Feb 13 08:01:51 PST 2025


Author: Hyunsung Lee
Date: 2025-02-13T08:01:47-08:00
New Revision: de09986596c9bbc89262456dda319715fb49353f

URL: https://github.com/llvm/llvm-project/commit/de09986596c9bbc89262456dda319715fb49353f
DIFF: https://github.com/llvm/llvm-project/commit/de09986596c9bbc89262456dda319715fb49353f.diff

LOG: [mlir][math] `powf(a, b)` drop support when a < 0  (#126338)

Related: #124402

- change inefficient implementation of `powf(a, b)` to handle `a < 0`
case
  - thus drop `a < 0` case support

However, some special cases are being used such as:
  - `a < 0` and `b = 0, b = 0.5, b = 1 or b = 2`
  - convert those special cases into simpler ops.

Added: 
    

Modified: 
    mlir/lib/Dialect/Math/Transforms/ExpandPatterns.cpp
    mlir/test/Dialect/Math/expand-math.mlir
    mlir/test/mlir-runner/test-expand-math-approx.mlir

Removed: 
    


################################################################################
diff  --git a/mlir/lib/Dialect/Math/Transforms/ExpandPatterns.cpp b/mlir/lib/Dialect/Math/Transforms/ExpandPatterns.cpp
index 3dadf9474cf4f..d7953719d44b5 100644
--- a/mlir/lib/Dialect/Math/Transforms/ExpandPatterns.cpp
+++ b/mlir/lib/Dialect/Math/Transforms/ExpandPatterns.cpp
@@ -19,6 +19,7 @@
 #include "mlir/IR/ImplicitLocOpBuilder.h"
 #include "mlir/IR/TypeUtilities.h"
 #include "mlir/Transforms/DialectConversion.h"
+#include "llvm/ADT/APFloat.h"
 
 using namespace mlir;
 
@@ -311,40 +312,71 @@ static LogicalResult convertFPowIOp(math::FPowIOp op,
   return success();
 }
 
-// Converts  Powf(float a, float b) (meaning a^b) to exp^(b * ln(a))
+// Converts Powf(float a, float b) (meaning a^b) to exp^(b * ln(a))
+// Some special cases where b is constant are handled separately:
+// when b == 0, or |b| == 0.5, 1.0, or 2.0.
 static LogicalResult convertPowfOp(math::PowFOp op, PatternRewriter &rewriter) {
   ImplicitLocOpBuilder b(op->getLoc(), rewriter);
   Value operandA = op.getOperand(0);
   Value operandB = op.getOperand(1);
-  Type opType = operandA.getType();
-  Value zero = createFloatConst(op->getLoc(), opType, 0.00, rewriter);
-  Value one = createFloatConst(op->getLoc(), opType, 1.00, rewriter);
-  Value two = createFloatConst(op->getLoc(), opType, 2.00, rewriter);
-  Value negOne = createFloatConst(op->getLoc(), opType, -1.00, rewriter);
-  Value opASquared = b.create<arith::MulFOp>(opType, operandA, operandA);
-  Value opBHalf = b.create<arith::DivFOp>(opType, operandB, two);
-
-  Value logA = b.create<math::LogOp>(opType, opASquared);
-  Value mult = b.create<arith::MulFOp>(opType, opBHalf, logA);
-  Value expResult = b.create<math::ExpOp>(opType, mult);
-  Value negExpResult = b.create<arith::MulFOp>(opType, expResult, negOne);
-  Value remainder = b.create<arith::RemFOp>(opType, operandB, two);
-  Value negCheck =
-      b.create<arith::CmpFOp>(arith::CmpFPredicate::OLT, operandA, zero);
-  Value oddPower =
-      b.create<arith::CmpFOp>(arith::CmpFPredicate::ONE, remainder, zero);
-  Value oddAndNeg = b.create<arith::AndIOp>(op->getLoc(), oddPower, negCheck);
-
-  // First, we select between the exp value and the adjusted value for odd
-  // powers of negatives. Then, we ensure that one is produced if `b` is zero.
-  // This corresponds to `libm` behavior, even for `0^0`. Without this check,
-  // `exp(0 * ln(0)) = exp(0 *-inf) = exp(-nan) = -nan`.
-  Value zeroCheck =
-      b.create<arith::CmpFOp>(arith::CmpFPredicate::OEQ, operandB, zero);
-  Value res = b.create<arith::SelectOp>(op->getLoc(), oddAndNeg, negExpResult,
-                                        expResult);
-  res = b.create<arith::SelectOp>(op->getLoc(), zeroCheck, one, res);
-  rewriter.replaceOp(op, res);
+  auto typeA = operandA.getType();
+  auto typeB = operandB.getType();
+
+  auto &sem =
+      cast<mlir::FloatType>(getElementTypeOrSelf(typeB)).getFloatSemantics();
+  APFloat valueB(sem);
+  if (matchPattern(operandB, m_ConstantFloat(&valueB))) {
+    if (valueB.isZero()) {
+      // a^0 -> 1
+      Value one = createFloatConst(op->getLoc(), typeA, 1.0, rewriter);
+      rewriter.replaceOp(op, one);
+      return success();
+    }
+    if (valueB.isExactlyValue(1.0)) {
+      // a^1 -> a
+      rewriter.replaceOp(op, operandA);
+      return success();
+    }
+    if (valueB.isExactlyValue(-1.0)) {
+      // a^(-1) -> 1 / a
+      Value one = createFloatConst(op->getLoc(), typeA, 1.0, rewriter);
+      Value div = b.create<arith::DivFOp>(one, operandA);
+      rewriter.replaceOp(op, div);
+      return success();
+    }
+    if (valueB.isExactlyValue(0.5)) {
+      // a^(1/2) -> sqrt(a)
+      Value sqrt = b.create<math::SqrtOp>(operandA);
+      rewriter.replaceOp(op, sqrt);
+      return success();
+    }
+    if (valueB.isExactlyValue(-0.5)) {
+      // a^(-1/2) -> 1 / sqrt(a)
+      Value rsqrt = b.create<math::RsqrtOp>(operandA);
+      rewriter.replaceOp(op, rsqrt);
+      return success();
+    }
+    if (valueB.isExactlyValue(2.0)) {
+      // a^2 -> a * a
+      Value mul = b.create<arith::MulFOp>(operandA, operandA);
+      rewriter.replaceOp(op, mul);
+      return success();
+    }
+    if (valueB.isExactlyValue(-2.0)) {
+      // a^(-2) -> 1 / (a * a)
+      Value mul = b.create<arith::MulFOp>(operandA, operandA);
+      Value one =
+          createFloatConst(op->getLoc(), operandA.getType(), 1.0, rewriter);
+      Value div = b.create<arith::DivFOp>(one, mul);
+      rewriter.replaceOp(op, div);
+      return success();
+    }
+  }
+
+  Value logA = b.create<math::LogOp>(operandA);
+  Value mult = b.create<arith::MulFOp>(operandB, logA);
+  Value expResult = b.create<math::ExpOp>(mult);
+  rewriter.replaceOp(op, expResult);
   return success();
 }
 

diff  --git a/mlir/test/Dialect/Math/expand-math.mlir b/mlir/test/Dialect/Math/expand-math.mlir
index 6055ed0504c84..f39d1a7a6dc50 100644
--- a/mlir/test/Dialect/Math/expand-math.mlir
+++ b/mlir/test/Dialect/Math/expand-math.mlir
@@ -201,26 +201,86 @@ func.func @roundf_func(%a: f32) -> f32 {
 // -----
 
 // CHECK-LABEL:   func @powf_func
-// CHECK-SAME:    ([[ARG0:%.+]]: f64, [[ARG1:%.+]]: f64)
-func.func @powf_func(%a: f64, %b: f64) ->f64 {
-  // CHECK-DAG: [[CST0:%.+]] = arith.constant 0.000000e+00
-  // CHECK-DAG: [[CST1:%.+]] = arith.constant 1.0
-  // CHECK-DAG: [[TWO:%.+]] = arith.constant 2.000000e+00
-  // CHECK-DAG: [[NEGONE:%.+]] = arith.constant -1.000000e+00
-  // CHECK-DAG: [[SQR:%.+]] = arith.mulf [[ARG0]], [[ARG0]]
-  // CHECK-DAG: [[HALF:%.+]] = arith.divf [[ARG1]], [[TWO]]
-  // CHECK-DAG: [[LOG:%.+]] = math.log [[SQR]]
-  // CHECK-DAG: [[MULT:%.+]] = arith.mulf [[HALF]], [[LOG]]
-  // CHECK-DAG: [[EXPR:%.+]] = math.exp [[MULT]]
-  // CHECK-DAG: [[NEGEXPR:%.+]] = arith.mulf [[EXPR]], [[NEGONE]]
-  // CHECK-DAG: [[REMF:%.+]] = arith.remf [[ARG1]], [[TWO]]
-  // CHECK-DAG: [[CMPNEG:%.+]] = arith.cmpf olt, [[ARG0]]
-  // CHECK-DAG: [[CMPZERO:%.+]] = arith.cmpf one, [[REMF]]
-  // CHECK-DAG: [[AND:%.+]] = arith.andi [[CMPZERO]], [[CMPNEG]]
-  // CHECK-DAG: [[CMPZERO:%.+]] = arith.cmpf oeq, [[ARG1]], [[CST0]]
-  // CHECK-DAG: [[SEL:%.+]] = arith.select [[AND]], [[NEGEXPR]], [[EXPR]]
-  // CHECK-DAG: [[SEL1:%.+]] = arith.select [[CMPZERO]], [[CST1]], [[SEL]]
-  // CHECK: return [[SEL1]]
+// CHECK-SAME:    (%[[ARG0:.+]]: f64, %[[ARG1:.+]]: f64) -> f64
+func.func @powf_func(%a: f64, %b: f64) -> f64 {
+  // CHECK: %[[LOGA:.+]] = math.log %[[ARG0]] : f64
+  // CHECK: %[[MUL:.+]] = arith.mulf %[[ARG1]], %[[LOGA]] : f64
+  // CHECK: %[[EXP:.+]] = math.exp %[[MUL]] : f64
+  // CHECK: return %[[EXP]] : f64
+  %ret = math.powf %a, %b : f64
+  return %ret : f64
+}
+
+// CHECK-LABEL:   func @powf_func_zero
+// CHECK-SAME:    (%[[ARG0:.+]]: f64) -> f64
+func.func @powf_func_zero(%a: f64) -> f64{
+  // CHECK: %[[ONE:.+]] = arith.constant 1.000000e+00 : f64
+  // CHECK: return %[[ONE]] : f64
+  %b = arith.constant 0.0 : f64
+  %ret = math.powf %a, %b : f64
+  return %ret : f64
+}
+
+// CHECK-LABEL:   func @powf_func_one
+// CHECK-SAME:    (%[[ARG0:.+]]: f64) -> f64
+func.func @powf_func_one(%a: f64) -> f64{
+  // CHECK: return %[[ARG0]] : f64
+  %b = arith.constant 1.0 : f64
+  %ret = math.powf %a, %b : f64
+  return %ret : f64
+}
+
+// CHECK-LABEL:   func @powf_func_negone
+// CHECK-SAME:    (%[[ARG0:.+]]: f64) -> f64
+func.func @powf_func_negone(%a: f64) -> f64{
+  // CHECK: %[[CSTONE:.+]] = arith.constant 1.000000e+00 : f64
+  // CHECK: %[[DIV:.+]] = arith.divf %[[CSTONE]], %[[ARG0]] : f64
+  // CHECK: return %[[DIV]] : f64
+  %b = arith.constant -1.0 : f64
+  %ret = math.powf %a, %b : f64
+  return %ret : f64
+}
+
+// CHECK-LABEL:   func @powf_func_half
+// CHECK-SAME:    (%[[ARG0:.+]]: f64) -> f64
+func.func @powf_func_half(%a: f64) -> f64{
+  // CHECK: %[[SQRT:.+]] = math.sqrt %[[ARG0]] : f64
+  // CHECK: return %[[SQRT]] : f64
+  %b = arith.constant 0.5 : f64
+  %ret = math.powf %a, %b : f64
+  return %ret : f64
+}
+
+// CHECK-LABEL:   func @powf_func_neghalf
+// CHECK-SAME:    (%[[ARG0:.+]]: f64) -> f64
+func.func @powf_func_neghalf(%a: f64) -> f64{
+  // CHECK: %[[CSTONE:.+]] = arith.constant 1.000000e+00 : f64
+  // CHECK: %[[SQRT:.+]] = math.sqrt %[[ARG0]] : f64
+  // CHECK: %[[DIV:.+]] = arith.divf %[[CSTONE]], %[[SQRT]] : f64
+  // CHECK: return %[[DIV]] : f64
+  %b = arith.constant -0.5 : f64
+  %ret = math.powf %a, %b : f64
+  return %ret : f64
+}
+
+// CHECK-LABEL:   func @powf_func_two
+// CHECK-SAME:    (%[[ARG0:.+]]: f64) -> f64
+func.func @powf_func_two(%a: f64) -> f64{
+  // CHECK: %[[MUL:.+]] = arith.mulf %[[ARG0]], %[[ARG0]] : f64
+  // CHECK: return %[[MUL]] : f64
+  %b = arith.constant 2.0 : f64
+  %ret = math.powf %a, %b : f64
+  return %ret : f64
+}
+
+// CHECK-LABEL:   func @powf_func_negtwo
+// CHECK-SAME:    (%[[ARG0:.+]]: f64) -> f64
+func.func @powf_func_negtwo(%a: f64) -> f64{
+  // CHECK-DAG: %[[MUL:.+]] = arith.mulf %[[ARG0]], %[[ARG0]] : f64
+  // CHECK-DAG: %[[CSTONE:.+]] = arith.constant 1.000000e+00 : f64
+  // CHECK: %[[DIV:.+]] = arith.divf %[[CSTONE]], %[[MUL]] : f64
+  // CHECK: return %[[DIV]] : f64
+  %b = arith.constant -2.0 : f64
   %ret = math.powf %a, %b : f64
   return %ret : f64
 }
@@ -602,26 +662,11 @@ func.func @math_fpowi_to_powf_tensor(%0 : tensor<8xf32>, %1: tensor<8xi32>) -> t
   return %2 : tensor<8xf32>
 }
 // CHECK-SAME: (%[[ARG0:.*]]: tensor<8xf32>, %[[ARG1:.*]]: tensor<8xi32>) -> tensor<8xf32> {
-// CHECK-DAG:    %[[CSTNEG1:.*]] = arith.constant dense<-1.000000e+00> : tensor<8xf32>
-// CHECK-DAG:    %[[CST2:.*]] = arith.constant dense<2.000000e+00> : tensor<8xf32>
-// CHECK-DAG:    %[[CST0:.*]] = arith.constant dense<0.000000e+00> : tensor<8xf32>
-// CHECK-DAG:    %[[CST1:.+]] = arith.constant dense<1.000000e+00> : tensor<8xf32>
-// CHECK:        %[[TOFP:.*]] = arith.sitofp %[[ARG1]] : tensor<8xi32> to tensor<8xf32>
-// CHECK:        %[[SQ:.*]] = arith.mulf %[[ARG0]], %[[ARG0]] : tensor<8xf32>
-// CHECK:        %[[DIV:.*]] = arith.divf %[[TOFP]], %[[CST2]] : tensor<8xf32>
-// CHECK:        %[[LG:.*]] = math.log %[[SQ]] : tensor<8xf32>
-// CHECK:        %[[MUL:.*]] = arith.mulf %[[DIV]], %[[LG]] : tensor<8xf32>
-// CHECK:        %[[EXP:.*]] = math.exp %[[MUL]] : tensor<8xf32>
-// CHECK:        %[[MUL1:.*]] = arith.mulf %[[EXP]], %[[CSTNEG1]] : tensor<8xf32>
-// CHECK:        %[[REM:.*]] = arith.remf %[[TOFP]], %[[CST2]] : tensor<8xf32>
-// CHECK:        %[[CMPF:.*]] = arith.cmpf olt, %[[ARG0]], %[[CST0]] : tensor<8xf32>
-// CHECK:        %[[CMPF1:.*]] = arith.cmpf one, %[[REM]], %[[CST0]] : tensor<8xf32>
-// CHECK:        %[[AND:.*]] = arith.andi %[[CMPF1]], %[[CMPF]] : tensor<8xi1>
-// CHECK:        %[[CMPZERO:.*]] = arith.cmpf oeq, %[[TOFP]], %[[CST0]]
-// CHECK:        %[[SEL:.*]] = arith.select %[[AND]], %[[MUL1]], %[[EXP]] : tensor<8xi1>, tensor<8xf32>
-// CHECK:        %[[SEL1:.+]] = arith.select %[[CMPZERO]], %[[CST1]], %[[SEL]]
-// CHECK:      return %[[SEL1]] : tensor<8xf32>
-
+// CHECK: %[[TOFP:.*]] = arith.sitofp %[[ARG1]] : tensor<8xi32> to tensor<8xf32>
+// CHECK: %[[LOGA:.*]] = math.log %[[ARG0]] : tensor<8xf32>
+// CHECK: %[[MUL:.*]] = arith.mulf %[[TOFP]], %[[LOGA]] : tensor<8xf32>
+// CHECK: %[[EXP:.*]] = math.exp %[[MUL]] : tensor<8xf32>
+// CHECK: return %[[EXP]]
 // -----
 
 // CHECK-LABEL:   func.func @math_fpowi_to_powf_scalar
@@ -630,25 +675,11 @@ func.func @math_fpowi_to_powf_scalar(%0 : f32, %1: i64) -> f32 {
   return %2 : f32
 }
 // CHECK-SAME: (%[[ARG0:.*]]: f32, %[[ARG1:.*]]: i64) -> f32 {
-// CHECK-DAG:    %[[CSTNEG1:.*]] = arith.constant -1.000000e+00 : f32
-// CHECK-DAG:    %[[CST2:.*]] = arith.constant 2.000000e+00 : f32
-// CHECK-DAG:    %[[CST0:.*]] = arith.constant 0.000000e+00 : f32
-// CHECK-DAG:    %[[CST1:.+]] = arith.constant 1.000000e+00 : f32
 // CHECK:        %[[TOFP:.*]] = arith.sitofp %[[ARG1]] : i64 to f32
-// CHECK:        %[[SQ:.*]] = arith.mulf %[[ARG0]], %[[ARG0]] : f32
-// CHECK:        %[[DIV:.*]] = arith.divf %[[TOFP]], %[[CST2]] : f32
-// CHECK:        %[[LG:.*]] = math.log %[[SQ]] : f32
-// CHECK:        %[[MUL:.*]] = arith.mulf %[[DIV]], %[[LG]] : f32
+// CHECK:        %[[LOGA:.*]] = math.log %[[ARG0]] : f32
+// CHECK:        %[[MUL:.*]] = arith.mulf %[[TOFP]], %[[LOGA]] : f32
 // CHECK:        %[[EXP:.*]] = math.exp %[[MUL]] : f32
-// CHECK:        %[[MUL1:.*]] = arith.mulf %[[EXP]], %[[CSTNEG1]] : f32
-// CHECK:        %[[REM:.*]] = arith.remf %[[TOFP]], %[[CST2]] : f32
-// CHECK:        %[[CMPF:.*]] = arith.cmpf olt, %[[ARG0]], %[[CST0]] : f32
-// CHECK:        %[[CMPF1:.*]] = arith.cmpf one, %[[REM]], %[[CST0]] : f32
-// CHECK:        %[[AND:.*]] = arith.andi %[[CMPF1]], %[[CMPF]] : i1
-// CHECK:        %[[CMPZERO:.*]] = arith.cmpf oeq, %[[TOFP]], %[[CST0]]
-// CHECK:        %[[SEL:.*]] = arith.select %[[AND]], %[[MUL1]], %[[EXP]] : f32
-// CHECK:        %[[SEL1:.+]] = arith.select %[[CMPZERO]], %[[CST1]], %[[SEL]]
-// CHECK:       return %[[SEL1]] : f32
+// CHECK:       return %[[EXP]] : f32
 
 // -----
 

diff  --git a/mlir/test/mlir-runner/test-expand-math-approx.mlir b/mlir/test/mlir-runner/test-expand-math-approx.mlir
index 106b48a2daea2..b599c9d8435d4 100644
--- a/mlir/test/mlir-runner/test-expand-math-approx.mlir
+++ b/mlir/test/mlir-runner/test-expand-math-approx.mlir
@@ -202,55 +202,62 @@ func.func @powf() {
   %a_p = arith.constant 2.0 : f64
   call @func_powff64(%a, %a_p) : (f64, f64) -> ()
 
-  // CHECK-NEXT: -27
-  %b   = arith.constant -3.0 : f64
-  %b_p = arith.constant 3.0 : f64
-  call @func_powff64(%b, %b_p) : (f64, f64) -> ()
-
   // CHECK-NEXT: 2.343
-  %c   = arith.constant 2.343 : f64
-  %c_p = arith.constant 1.000 : f64
-  call @func_powff64(%c, %c_p) : (f64, f64) -> ()
+  %b   = arith.constant 2.343 : f64
+  %b_p = arith.constant 1.000 : f64
+  call @func_powff64(%b, %b_p) : (f64, f64) -> ()
 
   // CHECK-NEXT: 0.176171
-  %d   = arith.constant 4.25 : f64
-  %d_p = arith.constant -1.2  : f64
-  call @func_powff64(%d, %d_p) : (f64, f64) -> ()
+  %c   = arith.constant 4.25 : f64
+  %c_p = arith.constant -1.2  : f64
+  call @func_powff64(%c, %c_p) : (f64, f64) -> ()
 
   // CHECK-NEXT: 1
-  %e   = arith.constant 4.385 : f64
-  %e_p = arith.constant 0.00 : f64
-  call @func_powff64(%e, %e_p) : (f64, f64) -> ()
+  %d   = arith.constant 4.385 : f64
+  %d_p = arith.constant 0.00 : f64
+  call @func_powff64(%d, %d_p) : (f64, f64) -> ()
 
   // CHECK-NEXT: 6.62637
-  %f    = arith.constant 4.835 : f64
-  %f_p  = arith.constant 1.2 : f64
-  call @func_powff64(%f, %f_p) : (f64, f64) -> ()
+  %e    = arith.constant 4.835 : f64
+  %e_p  = arith.constant 1.2 : f64
+  call @func_powff64(%e, %e_p) : (f64, f64) -> ()
 
   // CHECK-NEXT: nan
-  %i = arith.constant 1.0 : f64
-  %h = arith.constant 0x7fffffffffffffff : f64
-  call @func_powff64(%i, %h) : (f64, f64) -> ()
+  %f = arith.constant 1.0 : f64
+  %f_p = arith.constant 0x7fffffffffffffff : f64
+  call @func_powff64(%f, %f_p) : (f64, f64) -> ()
 
   // CHECK-NEXT: inf
-  %j   = arith.constant 29385.0 : f64
-  %j_p = arith.constant 23598.0 : f64
-  call @func_powff64(%j, %j_p) : (f64, f64) -> ()
+  %g   = arith.constant 29385.0 : f64
+  %g_p = arith.constant 23598.0 : f64
+  call @func_powff64(%g, %g_p) : (f64, f64) -> ()
 
   // CHECK-NEXT: -nan
-  %k = arith.constant 1.0 : f64
-  %k_p = arith.constant 0xfff0000001000000 : f64
-  call @func_powff64(%k, %k_p) : (f64, f64) -> ()
+  %h = arith.constant 1.0 : f64
+  %h_p = arith.constant 0xfff0000001000000 : f64
+  call @func_powff64(%h, %h_p) : (f64, f64) -> ()
 
   // CHECK-NEXT: -nan
-  %l = arith.constant 1.0 : f32
-  %l_p = arith.constant 0xffffffff : f32
-  call @func_powff32(%l, %l_p) : (f32, f32) -> ()
+  %i = arith.constant 1.0 : f32
+  %i_p = arith.constant 0xffffffff : f32
+  call @func_powff32(%i, %i_p) : (f32, f32) -> ()
 
   // CHECK-NEXT: 1
-  %zero = arith.constant 0.0 : f32
-  call @func_powff32(%zero, %zero) : (f32, f32) -> ()
+  %j = arith.constant 0.000 : f32
+  %j_r = math.powf %j, %j : f32
+  vector.print %j_r : f32
 
+  // CHECK-NEXT: 4
+  %k = arith.constant -2.0 : f32
+  %k_p = arith.constant 2.0 : f32
+  %k_r = math.powf %k, %k_p : f32
+  vector.print %k_r : f32
+
+  // CHECK-NEXT: 0.25
+  %l = arith.constant -2.0 : f32
+  %l_p = arith.constant -2.0 : f32
+  %l_r = math.powf %k, %l_p : f32
+  vector.print %l_r : f32
   return
 }
 


        


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