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      1 ; Test that the pow library call simplifier works correctly.
      2 ;
      3 ; RUN: opt < %s -instcombine -S | FileCheck %s
      4 ; rdar://7251832
      5 
      6 ; NOTE: The readonly attribute on the pow call should be preserved
      7 ; in the cases below where pow is transformed into another function call.
      8 
      9 declare float @powf(float, float) nounwind readonly
     10 declare double @pow(double, double) nounwind readonly
     11 
     12 ; Check pow(1.0, x) -> 1.0.
     13 
     14 define float @test_simplify1(float %x) {
     15 ; CHECK: @test_simplify1
     16   %retval = call float @powf(float 1.0, float %x)
     17   ret float %retval
     18 ; CHECK-NEXT: ret float 1.000000e+00
     19 }
     20 
     21 define double @test_simplify2(double %x) {
     22 ; CHECK: @test_simplify2
     23   %retval = call double @pow(double 1.0, double %x)
     24   ret double %retval
     25 ; CHECK-NEXT: ret double 1.000000e+00
     26 }
     27 
     28 ; Check pow(2.0, x) -> exp2(x).
     29 
     30 define float @test_simplify3(float %x) {
     31 ; CHECK: @test_simplify3
     32   %retval = call float @powf(float 2.0, float %x)
     33 ; CHECK-NEXT: [[EXP2F:%[a-z0-9]+]] = call float @exp2f(float %x) [[NUW_RO:#[0-9]+]]
     34   ret float %retval
     35 ; CHECK-NEXT: ret float [[EXP2F]]
     36 }
     37 
     38 define double @test_simplify4(double %x) {
     39 ; CHECK: @test_simplify4
     40   %retval = call double @pow(double 2.0, double %x)
     41 ; CHECK-NEXT: [[EXP2:%[a-z0-9]+]] = call double @exp2(double %x) [[NUW_RO]]
     42   ret double %retval
     43 ; CHECK-NEXT: ret double [[EXP2]]
     44 }
     45 
     46 ; Check pow(x, 0.0) -> 1.0.
     47 
     48 define float @test_simplify5(float %x) {
     49 ; CHECK: @test_simplify5
     50   %retval = call float @powf(float %x, float 0.0)
     51   ret float %retval
     52 ; CHECK-NEXT: ret float 1.000000e+00
     53 }
     54 
     55 define double @test_simplify6(double %x) {
     56 ; CHECK: @test_simplify6
     57   %retval = call double @pow(double %x, double 0.0)
     58   ret double %retval
     59 ; CHECK-NEXT: ret double 1.000000e+00
     60 }
     61 
     62 ; Check pow(x, 0.5) -> fabs(sqrt(x)), where x != -infinity.
     63 
     64 define float @test_simplify7(float %x) {
     65 ; CHECK: @test_simplify7
     66   %retval = call float @powf(float %x, float 0.5)
     67 ; CHECK-NEXT: [[SQRTF:%[a-z0-9]+]] = call float @sqrtf(float %x) [[NUW_RO]]
     68 ; CHECK-NEXT: [[FABSF:%[a-z0-9]+]] = call float @fabsf(float [[SQRTF]]) [[NUW_RO]]
     69 ; CHECK-NEXT: [[FCMP:%[a-z0-9]+]] = fcmp oeq float %x, 0xFFF0000000000000
     70 ; CHECK-NEXT: [[SELECT:%[a-z0-9]+]] = select i1 [[FCMP]], float 0x7FF0000000000000, float [[FABSF]]
     71   ret float %retval
     72 ; CHECK-NEXT: ret float [[SELECT]]
     73 }
     74 
     75 define double @test_simplify8(double %x) {
     76 ; CHECK: @test_simplify8
     77   %retval = call double @pow(double %x, double 0.5)
     78 ; CHECK-NEXT: [[SQRT:%[a-z0-9]+]] = call double @sqrt(double %x) [[NUW_RO]]
     79 ; CHECK-NEXT: [[FABS:%[a-z0-9]+]] = call double @fabs(double [[SQRT]]) [[NUW_RO]]
     80 ; CHECK-NEXT: [[FCMP:%[a-z0-9]+]] = fcmp oeq double %x, 0xFFF0000000000000
     81 ; CHECK-NEXT: [[SELECT:%[a-z0-9]+]] = select i1 [[FCMP]], double 0x7FF0000000000000, double [[FABS]]
     82   ret double %retval
     83 ; CHECK-NEXT: ret double [[SELECT]]
     84 }
     85 
     86 ; Check pow(-infinity, 0.5) -> +infinity.
     87 
     88 define float @test_simplify9(float %x) {
     89 ; CHECK: @test_simplify9
     90   %retval = call float @powf(float 0xFFF0000000000000, float 0.5)
     91   ret float %retval
     92 ; CHECK-NEXT: ret float 0x7FF0000000000000
     93 }
     94 
     95 define double @test_simplify10(double %x) {
     96 ; CHECK: @test_simplify10
     97   %retval = call double @pow(double 0xFFF0000000000000, double 0.5)
     98   ret double %retval
     99 ; CHECK-NEXT: ret double 0x7FF0000000000000
    100 }
    101 
    102 ; Check pow(x, 1.0) -> x.
    103 
    104 define float @test_simplify11(float %x) {
    105 ; CHECK: @test_simplify11
    106   %retval = call float @powf(float %x, float 1.0)
    107   ret float %retval
    108 ; CHECK-NEXT: ret float %x
    109 }
    110 
    111 define double @test_simplify12(double %x) {
    112 ; CHECK: @test_simplify12
    113   %retval = call double @pow(double %x, double 1.0)
    114   ret double %retval
    115 ; CHECK-NEXT: ret double %x
    116 }
    117 
    118 ; Check pow(x, 2.0) -> x*x.
    119 
    120 define float @test_simplify13(float %x) {
    121 ; CHECK: @test_simplify13
    122   %retval = call float @powf(float %x, float 2.0)
    123 ; CHECK-NEXT: [[SQUARE:%[a-z0-9]+]] = fmul float %x, %x
    124   ret float %retval
    125 ; CHECK-NEXT: ret float [[SQUARE]]
    126 }
    127 
    128 define double @test_simplify14(double %x) {
    129 ; CHECK: @test_simplify14
    130   %retval = call double @pow(double %x, double 2.0)
    131 ; CHECK-NEXT: [[SQUARE:%[a-z0-9]+]] = fmul double %x, %x
    132   ret double %retval
    133 ; CHECK-NEXT: ret double [[SQUARE]]
    134 }
    135 
    136 ; Check pow(x, -1.0) -> 1.0/x.
    137 
    138 define float @test_simplify15(float %x) {
    139 ; CHECK: @test_simplify15
    140   %retval = call float @powf(float %x, float -1.0)
    141 ; CHECK-NEXT: [[RECIPROCAL:%[a-z0-9]+]] = fdiv float 1.000000e+00, %x
    142   ret float %retval
    143 ; CHECK-NEXT: ret float [[RECIPROCAL]]
    144 }
    145 
    146 define double @test_simplify16(double %x) {
    147 ; CHECK: @test_simplify16
    148   %retval = call double @pow(double %x, double -1.0)
    149 ; CHECK-NEXT: [[RECIPROCAL:%[a-z0-9]+]] = fdiv double 1.000000e+00, %x
    150   ret double %retval
    151 ; CHECK-NEXT: ret double [[RECIPROCAL]]
    152 }
    153 
    154 ; CHECK: attributes [[NUW_RO]] = { nounwind readonly }
    155