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; Test that the pow library call simplifier works correctly.
;
; RUN: opt < %s -instcombine -S | FileCheck %s
; rdar://7251832
; NOTE: The readonly attribute on the pow call should be preserved
; in the cases below where pow is transformed into another function call.
declare float @powf(float, float) nounwind readonly
declare double @pow(double, double) nounwind readonly
; Check pow(1.0, x) -> 1.0.
define float @test_simplify1(float %x) {
; CHECK: @test_simplify1
%retval = call float @powf(float 1.0, float %x)
ret float %retval
; CHECK-NEXT: ret float 1.000000e+00
}
define double @test_simplify2(double %x) {
; CHECK: @test_simplify2
%retval = call double @pow(double 1.0, double %x)
ret double %retval
; CHECK-NEXT: ret double 1.000000e+00
}
; Check pow(2.0, x) -> exp2(x).
define float @test_simplify3(float %x) {
; CHECK: @test_simplify3
%retval = call float @powf(float 2.0, float %x)
; CHECK-NEXT: [[EXP2F:%[a-z0-9]+]] = call float @exp2f(float %x) nounwind readonly
ret float %retval
; CHECK-NEXT: ret float [[EXP2F]]
}
define double @test_simplify4(double %x) {
; CHECK: @test_simplify4
%retval = call double @pow(double 2.0, double %x)
; CHECK-NEXT: [[EXP2:%[a-z0-9]+]] = call double @exp2(double %x) nounwind readonly
ret double %retval
; CHECK-NEXT: ret double [[EXP2]]
}
; Check pow(x, 0.0) -> 1.0.
define float @test_simplify5(float %x) {
; CHECK: @test_simplify5
%retval = call float @powf(float %x, float 0.0)
ret float %retval
; CHECK-NEXT: ret float 1.000000e+00
}
define double @test_simplify6(double %x) {
; CHECK: @test_simplify6
%retval = call double @pow(double %x, double 0.0)
ret double %retval
; CHECK-NEXT: ret double 1.000000e+00
}
; Check pow(x, 0.5) -> fabs(sqrt(x)), where x != -infinity.
define float @test_simplify7(float %x) {
; CHECK: @test_simplify7
%retval = call float @powf(float %x, float 0.5)
; CHECK-NEXT: [[SQRTF:%[a-z0-9]+]] = call float @sqrtf(float %x) nounwind readonly
; CHECK-NEXT: [[FABSF:%[a-z0-9]+]] = call float @fabsf(float [[SQRTF]]) nounwind readonly
; CHECK-NEXT: [[FCMP:%[a-z0-9]+]] = fcmp oeq float %x, 0xFFF0000000000000
; CHECK-NEXT: [[SELECT:%[a-z0-9]+]] = select i1 [[FCMP]], float 0x7FF0000000000000, float [[FABSF]]
ret float %retval
; CHECK-NEXT: ret float [[SELECT]]
}
define double @test_simplify8(double %x) {
; CHECK: @test_simplify8
%retval = call double @pow(double %x, double 0.5)
; CHECK-NEXT: [[SQRT:%[a-z0-9]+]] = call double @sqrt(double %x) nounwind readonly
; CHECK-NEXT: [[FABS:%[a-z0-9]+]] = call double @fabs(double [[SQRT]]) nounwind readonly
; CHECK-NEXT: [[FCMP:%[a-z0-9]+]] = fcmp oeq double %x, 0xFFF0000000000000
; CHECK-NEXT: [[SELECT:%[a-z0-9]+]] = select i1 [[FCMP]], double 0x7FF0000000000000, double [[FABS]]
ret double %retval
; CHECK-NEXT: ret double [[SELECT]]
}
; Check pow(-infinity, 0.5) -> +infinity.
define float @test_simplify9(float %x) {
; CHECK: @test_simplify9
%retval = call float @powf(float 0xFFF0000000000000, float 0.5)
ret float %retval
; CHECK-NEXT: ret float 0x7FF0000000000000
}
define double @test_simplify10(double %x) {
; CHECK: @test_simplify10
%retval = call double @pow(double 0xFFF0000000000000, double 0.5)
ret double %retval
; CHECK-NEXT: ret double 0x7FF0000000000000
}
; Check pow(x, 1.0) -> x.
define float @test_simplify11(float %x) {
; CHECK: @test_simplify11
%retval = call float @powf(float %x, float 1.0)
ret float %retval
; CHECK-NEXT: ret float %x
}
define double @test_simplify12(double %x) {
; CHECK: @test_simplify12
%retval = call double @pow(double %x, double 1.0)
ret double %retval
; CHECK-NEXT: ret double %x
}
; Check pow(x, 2.0) -> x*x.
define float @test_simplify13(float %x) {
; CHECK: @test_simplify13
%retval = call float @powf(float %x, float 2.0)
; CHECK-NEXT: [[SQUARE:%[a-z0-9]+]] = fmul float %x, %x
ret float %retval
; CHECK-NEXT: ret float [[SQUARE]]
}
define double @test_simplify14(double %x) {
; CHECK: @test_simplify14
%retval = call double @pow(double %x, double 2.0)
; CHECK-NEXT: [[SQUARE:%[a-z0-9]+]] = fmul double %x, %x
ret double %retval
; CHECK-NEXT: ret double [[SQUARE]]
}
; Check pow(x, -1.0) -> 1.0/x.
define float @test_simplify15(float %x) {
; CHECK: @test_simplify15
%retval = call float @powf(float %x, float -1.0)
; CHECK-NEXT: [[RECIPROCAL:%[a-z0-9]+]] = fdiv float 1.000000e+00, %x
ret float %retval
; CHECK-NEXT: ret float [[RECIPROCAL]]
}
define double @test_simplify16(double %x) {
; CHECK: @test_simplify16
%retval = call double @pow(double %x, double -1.0)
; CHECK-NEXT: [[RECIPROCAL:%[a-z0-9]+]] = fdiv double 1.000000e+00, %x
ret double %retval
; CHECK-NEXT: ret double [[RECIPROCAL]]
}
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