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      1 ; Test that the pow library call simplifier works correctly.
      2 ;
      3 ; RUN: opt < %s -instcombine -S | FileCheck %s
      4 ; RUN: opt -instcombine -S < %s -mtriple=x86_64-apple-macosx10.9 | FileCheck %s --check-prefix=CHECK-EXP10
      5 ; RUN: opt -instcombine -S < %s -mtriple=arm-apple-ios7.0 | FileCheck %s --check-prefix=CHECK-EXP10
      6 ; RUN: opt -instcombine -S < %s -mtriple=x86_64-apple-macosx10.8 | FileCheck %s --check-prefix=CHECK-NO-EXP10
      7 ; RUN: opt -instcombine -S < %s -mtriple=arm-apple-ios6.0 | FileCheck %s --check-prefix=CHECK-NO-EXP10
      8 ; RUN: opt -instcombine -S < %s -mtriple=x86_64-netbsd | FileCheck %s --check-prefix=CHECK-NO-EXP10
      9 ; RUN: opt -instcombine -S < %s -mtriple=arm-apple-tvos9.0 | FileCheck %s --check-prefix=CHECK-EXP10
     10 ; RUN: opt -instcombine -S < %s -mtriple=arm-apple-watchos2.0 | FileCheck %s --check-prefix=CHECK-EXP10
     11 ; rdar://7251832
     12 
     13 ; NOTE: The readonly attribute on the pow call should be preserved
     14 ; in the cases below where pow is transformed into another function call.
     15 
     16 declare float @powf(float, float) nounwind readonly
     17 declare double @pow(double, double) nounwind readonly
     18 
     19 ; Check pow(1.0, x) -> 1.0.
     20 
     21 define float @test_simplify1(float %x) {
     22 ; CHECK-LABEL: @test_simplify1(
     23   %retval = call float @powf(float 1.0, float %x)
     24   ret float %retval
     25 ; CHECK-NEXT: ret float 1.000000e+00
     26 }
     27 
     28 define double @test_simplify2(double %x) {
     29 ; CHECK-LABEL: @test_simplify2(
     30   %retval = call double @pow(double 1.0, double %x)
     31   ret double %retval
     32 ; CHECK-NEXT: ret double 1.000000e+00
     33 }
     34 
     35 ; Check pow(2.0, x) -> exp2(x).
     36 
     37 define float @test_simplify3(float %x) {
     38 ; CHECK-LABEL: @test_simplify3(
     39   %retval = call float @powf(float 2.0, float %x)
     40 ; CHECK-NEXT: [[EXP2F:%[a-z0-9]+]] = call float @exp2f(float %x) [[NUW_RO:#[0-9]+]]
     41   ret float %retval
     42 ; CHECK-NEXT: ret float [[EXP2F]]
     43 }
     44 
     45 define double @test_simplify4(double %x) {
     46 ; CHECK-LABEL: @test_simplify4(
     47   %retval = call double @pow(double 2.0, double %x)
     48 ; CHECK-NEXT: [[EXP2:%[a-z0-9]+]] = call double @exp2(double %x) [[NUW_RO]]
     49   ret double %retval
     50 ; CHECK-NEXT: ret double [[EXP2]]
     51 }
     52 
     53 ; Check pow(x, 0.0) -> 1.0.
     54 
     55 define float @test_simplify5(float %x) {
     56 ; CHECK-LABEL: @test_simplify5(
     57   %retval = call float @powf(float %x, float 0.0)
     58   ret float %retval
     59 ; CHECK-NEXT: ret float 1.000000e+00
     60 }
     61 
     62 define double @test_simplify6(double %x) {
     63 ; CHECK-LABEL: @test_simplify6(
     64   %retval = call double @pow(double %x, double 0.0)
     65   ret double %retval
     66 ; CHECK-NEXT: ret double 1.000000e+00
     67 }
     68 
     69 ; Check pow(x, 0.5) -> fabs(sqrt(x)), where x != -infinity.
     70 
     71 define float @test_simplify7(float %x) {
     72 ; CHECK-LABEL: @test_simplify7(
     73   %retval = call float @powf(float %x, float 0.5)
     74 ; CHECK-NEXT: [[SQRTF:%[a-z0-9]+]] = call float @sqrtf(float %x) [[NUW_RO]]
     75 ; CHECK-NEXT: [[FABSF:%[a-z0-9]+]] = call float @fabsf(float [[SQRTF]]) [[NUW_RO]]
     76 ; CHECK-NEXT: [[FCMP:%[a-z0-9]+]] = fcmp oeq float %x, 0xFFF0000000000000
     77 ; CHECK-NEXT: [[SELECT:%[a-z0-9]+]] = select i1 [[FCMP]], float 0x7FF0000000000000, float [[FABSF]]
     78   ret float %retval
     79 ; CHECK-NEXT: ret float [[SELECT]]
     80 }
     81 
     82 define double @test_simplify8(double %x) {
     83 ; CHECK-LABEL: @test_simplify8(
     84   %retval = call double @pow(double %x, double 0.5)
     85 ; CHECK-NEXT: [[SQRT:%[a-z0-9]+]] = call double @sqrt(double %x) [[NUW_RO]]
     86 ; CHECK-NEXT: [[FABS:%[a-z0-9]+]] = call double @fabs(double [[SQRT]]) [[NUW_RO]]
     87 ; CHECK-NEXT: [[FCMP:%[a-z0-9]+]] = fcmp oeq double %x, 0xFFF0000000000000
     88 ; CHECK-NEXT: [[SELECT:%[a-z0-9]+]] = select i1 [[FCMP]], double 0x7FF0000000000000, double [[FABS]]
     89   ret double %retval
     90 ; CHECK-NEXT: ret double [[SELECT]]
     91 }
     92 
     93 ; Check pow(-infinity, 0.5) -> +infinity.
     94 
     95 define float @test_simplify9(float %x) {
     96 ; CHECK-LABEL: @test_simplify9(
     97   %retval = call float @powf(float 0xFFF0000000000000, float 0.5)
     98   ret float %retval
     99 ; CHECK-NEXT: ret float 0x7FF0000000000000
    100 }
    101 
    102 define double @test_simplify10(double %x) {
    103 ; CHECK-LABEL: @test_simplify10(
    104   %retval = call double @pow(double 0xFFF0000000000000, double 0.5)
    105   ret double %retval
    106 ; CHECK-NEXT: ret double 0x7FF0000000000000
    107 }
    108 
    109 ; Check pow(x, 1.0) -> x.
    110 
    111 define float @test_simplify11(float %x) {
    112 ; CHECK-LABEL: @test_simplify11(
    113   %retval = call float @powf(float %x, float 1.0)
    114   ret float %retval
    115 ; CHECK-NEXT: ret float %x
    116 }
    117 
    118 define double @test_simplify12(double %x) {
    119 ; CHECK-LABEL: @test_simplify12(
    120   %retval = call double @pow(double %x, double 1.0)
    121   ret double %retval
    122 ; CHECK-NEXT: ret double %x
    123 }
    124 
    125 ; Check pow(x, 2.0) -> x*x.
    126 
    127 define float @test_simplify13(float %x) {
    128 ; CHECK-LABEL: @test_simplify13(
    129   %retval = call float @powf(float %x, float 2.0)
    130 ; CHECK-NEXT: [[SQUARE:%[a-z0-9]+]] = fmul float %x, %x
    131   ret float %retval
    132 ; CHECK-NEXT: ret float [[SQUARE]]
    133 }
    134 
    135 define double @test_simplify14(double %x) {
    136 ; CHECK-LABEL: @test_simplify14(
    137   %retval = call double @pow(double %x, double 2.0)
    138 ; CHECK-NEXT: [[SQUARE:%[a-z0-9]+]] = fmul double %x, %x
    139   ret double %retval
    140 ; CHECK-NEXT: ret double [[SQUARE]]
    141 }
    142 
    143 ; Check pow(x, -1.0) -> 1.0/x.
    144 
    145 define float @test_simplify15(float %x) {
    146 ; CHECK-LABEL: @test_simplify15(
    147   %retval = call float @powf(float %x, float -1.0)
    148 ; CHECK-NEXT: [[RECIPROCAL:%[a-z0-9]+]] = fdiv float 1.000000e+00, %x
    149   ret float %retval
    150 ; CHECK-NEXT: ret float [[RECIPROCAL]]
    151 }
    152 
    153 define double @test_simplify16(double %x) {
    154 ; CHECK-LABEL: @test_simplify16(
    155   %retval = call double @pow(double %x, double -1.0)
    156 ; CHECK-NEXT: [[RECIPROCAL:%[a-z0-9]+]] = fdiv double 1.000000e+00, %x
    157   ret double %retval
    158 ; CHECK-NEXT: ret double [[RECIPROCAL]]
    159 }
    160 
    161 declare double @llvm.pow.f64(double %Val, double %Power)
    162 define double @test_simplify17(double %x) {
    163 ; CHECK-LABEL: @test_simplify17(
    164   %retval = call double @llvm.pow.f64(double %x, double 0.5)
    165 ; CHECK-NEXT: [[SQRT:%[a-z0-9]+]] = call double @sqrt(double %x)
    166 ; CHECK-NEXT: [[FABS:%[a-z0-9]+]] = call double @fabs(double [[SQRT]])
    167 ; CHECK-NEXT: [[FCMP:%[a-z0-9]+]] = fcmp oeq double %x, 0xFFF0000000000000
    168 ; CHECK-NEXT: [[SELECT:%[a-z0-9]+]] = select i1 [[FCMP]], double 0x7FF0000000000000, double [[FABS]]
    169   ret double %retval
    170 ; CHECK-NEXT: ret double [[SELECT]]
    171 }
    172 
    173 ; Check pow(10.0, x) -> __exp10(x) on OS X 10.9+ and iOS 7.0+.
    174 
    175 define float @test_simplify18(float %x) {
    176 ; CHECK-LABEL: @test_simplify18(
    177   %retval = call float @powf(float 10.0, float %x)
    178 ; CHECK-EXP10: [[EXP10F:%[_a-z0-9]+]] = call float @__exp10f(float %x) [[NUW_RO:#[0-9]+]]
    179   ret float %retval
    180 ; CHECK-EXP10: ret float [[EXP10F]]
    181 ; CHECK-NO-EXP10: call float @powf
    182 }
    183 
    184 define double @test_simplify19(double %x) {
    185 ; CHECK-LABEL: @test_simplify19(
    186   %retval = call double @pow(double 10.0, double %x)
    187 ; CHECK-EXP10: [[EXP10:%[_a-z0-9]+]] = call double @__exp10(double %x) [[NUW_RO]]
    188   ret double %retval
    189 ; CHECK-EXP10: ret double [[EXP10]]
    190 ; CHECK-NO-EXP10: call double @pow
    191 }
    192 
    193 ; CHECK: attributes [[NUW_RO]] = { nounwind readonly }
    194 
    195