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llvm/llvm/test/Transforms/InstSimplify/floating-point-compare.ll 

; NOTE: Assertions have been autogenerated by utils/update_test_checks.py
; RUN: opt < %s -passes=instsimplify -S | FileCheck %s

; Infinity

define i1 @inf0(double %arg) {
; CHECK-LABEL: @inf0(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp ogt double %arg, 0x7FF0000000000000
  ret i1 %tmp
}

define i1 @inf0_fabs(double %arg) {
; CHECK-LABEL: @inf0_fabs(
; CHECK-NEXT:    ret i1 false
;
  %fabs.arg = call double @llvm.fabs.f64(double %arg)
  %tmp = fcmp ogt double %fabs.arg, 0x7FF0000000000000
  ret i1 %tmp
}

define i1 @inf1(double %arg) {
; CHECK-LABEL: @inf1(
; CHECK-NEXT:    ret i1 true
;
  %tmp = fcmp ule double %arg, 0x7FF0000000000000
  ret i1 %tmp
}

define i1 @inf1_fabs(double %arg) {
; CHECK-LABEL: @inf1_fabs(
; CHECK-NEXT:    ret i1 true
;
  %fabs.arg = call double @llvm.fabs.f64(double %arg)
  %tmp = fcmp ule double %fabs.arg, 0x7FF0000000000000
  ret i1 %tmp
}

; Negative infinity

define i1 @ninf0(double %arg) {
; CHECK-LABEL: @ninf0(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp olt double %arg, 0xFFF0000000000000
  ret i1 %tmp
}

define i1 @ninf0_fabs(double %arg) {
; CHECK-LABEL: @ninf0_fabs(
; CHECK-NEXT:    ret i1 false
;
  %fabs.arg = call double @llvm.fabs.f64(double %arg)
  %tmp = fcmp olt double %fabs.arg, 0xFFF0000000000000
  ret i1 %tmp
}

define i1 @ninf1(double %arg) {
; CHECK-LABEL: @ninf1(
; CHECK-NEXT:    ret i1 true
;
  %tmp = fcmp uge double %arg, 0xFFF0000000000000
  ret i1 %tmp
}

define i1 @ninf1_fabs(double %arg) {
; CHECK-LABEL: @ninf1_fabs(
; CHECK-NEXT:    ret i1 true
;
  %fabs.arg = call double @llvm.fabs.f64(double %arg)
  %tmp = fcmp uge double %fabs.arg, 0xFFF0000000000000
  ret i1 %tmp
}

; NaNs

define i1 @nan0(double %arg) {
; CHECK-LABEL: @nan0(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp ord double %arg, 0x7FF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nan1(double %arg) {
; CHECK-LABEL: @nan1(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp oeq double %arg, 0x7FF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nan2(double %arg) {
; CHECK-LABEL: @nan2(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp olt double %arg, 0x7FF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nan3(double %arg) {
; CHECK-LABEL: @nan3(
; CHECK-NEXT:    ret i1 true
;
  %tmp = fcmp uno double %arg, 0x7FF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nan4(double %arg) {
; CHECK-LABEL: @nan4(
; CHECK-NEXT:    ret i1 true
;
  %tmp = fcmp une double %arg, 0x7FF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nan5(double %arg) {
; CHECK-LABEL: @nan5(
; CHECK-NEXT:    ret i1 true
;
  %tmp = fcmp ult double %arg, 0x7FF00000FFFFFFFF
  ret i1 %tmp
}

; Negative NaN.

define i1 @nnan0(double %arg) {
; CHECK-LABEL: @nnan0(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp ord double %arg, 0xFFF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nnan1(double %arg) {
; CHECK-LABEL: @nnan1(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp oeq double %arg, 0xFFF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nnan2(double %arg) {
; CHECK-LABEL: @nnan2(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp olt double %arg, 0xFFF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nnan3(double %arg) {
; CHECK-LABEL: @nnan3(
; CHECK-NEXT:    ret i1 true
;
  %tmp = fcmp uno double %arg, 0xFFF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nnan4(double %arg) {
; CHECK-LABEL: @nnan4(
; CHECK-NEXT:    ret i1 true
;
  %tmp = fcmp une double %arg, 0xFFF00000FFFFFFFF
  ret i1 %tmp
}

define i1 @nnan5(double %arg) {
; CHECK-LABEL: @nnan5(
; CHECK-NEXT:    ret i1 true
;
  %tmp = fcmp ult double %arg, 0xFFF00000FFFFFFFF
  ret i1 %tmp
}

; Negative zero.

define i1 @nzero0() {
; CHECK-LABEL: @nzero0(
; CHECK-NEXT:    ret i1 true
;
  %tmp = fcmp oeq double 0.0, -0.0
  ret i1 %tmp
}

define i1 @nzero1() {
; CHECK-LABEL: @nzero1(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp ogt double 0.0, -0.0
  ret i1 %tmp
}

; No enlightenment here.

define i1 @one_with_self(double %arg) {
; CHECK-LABEL: @one_with_self(
; CHECK-NEXT:    ret i1 false
;
  %tmp = fcmp one double %arg, %arg
  ret i1 %tmp
}

; These tests choose arbitrarily between float and double,
; and between uge and olt, to give reasonble coverage
; without combinatorial explosion.

define i1 @orderedLessZeroTree(float,float,float,float) {
; CHECK-LABEL: @orderedLessZeroTree(
; CHECK-NEXT:    ret i1 true
;
  %square = fmul float %0, %0
  %abs = call float @llvm.fabs.f32(float %1)
  %sqrt = call float @llvm.sqrt.f32(float %2)
  %fma = call float @llvm.fma.f32(float %3, float %3, float %sqrt)
  %div = fdiv float %square, %abs
  %rem = frem float %sqrt, %fma
  %add = fadd float %div, %rem
  %uge = fcmp uge float %add, 0.000000e+00
  ret i1 %uge
}

define i1 @orderedLessZero_fdiv(float %x) {
; CHECK-LABEL: @orderedLessZero_fdiv(
; CHECK-NEXT:    ret i1 true
;
  %d = fdiv float %x, %x
  %uge = fcmp uge float %d, 0.0
  ret i1 %uge
}

; If x == -0.0, maxnum can return -0.0, but that still compares equal to 0.0.

define i1 @orderedLessZero_maxnum(float %x) {
; CHECK-LABEL: @orderedLessZero_maxnum(
; CHECK-NEXT:    ret i1 true
;
  %d = call float @llvm.maxnum.f32(float %x, float 0.0)
  %uge = fcmp uge float %d, 0.0
  ret i1 %uge
}

define i1 @orderedLessZeroExpExt(float) {
; CHECK-LABEL: @orderedLessZeroExpExt(
; CHECK-NEXT:    ret i1 true
;
  %a = call float @llvm.exp.f32(float %0)
  %b = fpext float %a to double
  %uge = fcmp uge double %b, 0.000000e+00
  ret i1 %uge
}

define i1 @orderedLessZeroExp2Trunc(double) {
; CHECK-LABEL: @orderedLessZeroExp2Trunc(
; CHECK-NEXT:    ret i1 false
;
  %a = call double @llvm.exp2.f64(double %0)
  %b = fptrunc double %a to float
  %olt = fcmp olt float %b, 0.000000e+00
  ret i1 %olt
}

define i1 @orderedLessZeroPowi(double,double) {
; CHECK-LABEL: @orderedLessZeroPowi(
; CHECK-NEXT:    ret i1 false
;
  ; Even constant exponent
  %a = call double @llvm.powi.f64.i32(double %0, i32 2)
  %square = fmul double %1, %1
  ; Odd constant exponent with provably non-negative base
  %b = call double @llvm.powi.f64.i32(double %square, i32 3)
  %c = fadd double %a, %b
  %olt = fcmp olt double %b, 0.000000e+00
  ret i1 %olt
}

define i1 @UIToFP_is_nan_or_positive_or_zero(i32 %x) {
; CHECK-LABEL: @UIToFP_is_nan_or_positive_or_zero(
; CHECK-NEXT:    ret i1 true
;
  %a = uitofp i32 %x to float
  %r = fcmp uge float %a, 0.000000e+00
  ret i1 %r
}

define <2 x i1> @UIToFP_is_nan_or_positive_or_zero_vec(<2 x i32> %x) {
; CHECK-LABEL: @UIToFP_is_nan_or_positive_or_zero_vec(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %a = uitofp <2 x i32> %x to <2 x float>
  %r = fcmp uge <2 x float> %a, zeroinitializer
  ret <2 x i1> %r
}

define i1 @UIToFP_is_positive_or_zero(i32 %x) {
; CHECK-LABEL: @UIToFP_is_positive_or_zero(
; CHECK-NEXT:    ret i1 true
;
  %a = uitofp i32 %x to float
  %r = fcmp oge float %a, 0.000000e+00
  ret i1 %r
}

define <2 x i1> @UIToFP_is_positive_or_zero_vec(<2 x i32> %x) {
; CHECK-LABEL: @UIToFP_is_positive_or_zero_vec(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %a = uitofp <2 x i32> %x to <2 x float>
  %r = fcmp oge <2 x float> %a, zeroinitializer
  ret <2 x i1> %r
}

define i1 @UIToFP_nnan_is_positive_or_zero(i32 %x) {
; CHECK-LABEL: @UIToFP_nnan_is_positive_or_zero(
; CHECK-NEXT:    ret i1 true
;
  %a = uitofp i32 %x to float
  %r = fcmp nnan oge float %a, 0.000000e+00
  ret i1 %r
}

define <2 x i1> @UIToFP_nnan_is_positive_or_zero_vec(<2 x i32> %x) {
; CHECK-LABEL: @UIToFP_nnan_is_positive_or_zero_vec(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %a = uitofp <2 x i32> %x to <2 x float>
  %r = fcmp nnan oge <2 x float> %a, zeroinitializer
  ret <2 x i1> %r
}

define i1 @UIToFP_is_not_negative(i32 %x) {
; CHECK-LABEL: @UIToFP_is_not_negative(
; CHECK-NEXT:    ret i1 false
;
  %a = uitofp i32 %x to float
  %r = fcmp olt float %a, 0.000000e+00
  ret i1 %r
}

define <2 x i1> @UIToFP_is_not_negative_vec(<2 x i32> %x) {
; CHECK-LABEL: @UIToFP_is_not_negative_vec(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %a = uitofp <2 x i32> %x to <2 x float>
  %r = fcmp olt <2 x float> %a, zeroinitializer
  ret <2 x i1> %r
}

; No FMF are required for this transform.

define i1 @UIToFP_is_not_negative_or_nan(i32 %x) {
; CHECK-LABEL: @UIToFP_is_not_negative_or_nan(
; CHECK-NEXT:    ret i1 false
;
  %a = uitofp i32 %x to float
  %r = fcmp ult float %a, 0.000000e+00
  ret i1 %r
}

define <2 x i1> @UIToFP_is_not_negative_or_nan_vec(<2 x i32> %x) {
; CHECK-LABEL: @UIToFP_is_not_negative_or_nan_vec(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %a = uitofp <2 x i32> %x to <2 x float>
  %r = fcmp ult <2 x float> %a, zeroinitializer
  ret <2 x i1> %r
}

define i1 @UIToFP_nnan_is_not_negative(i32 %x) {
; CHECK-LABEL: @UIToFP_nnan_is_not_negative(
; CHECK-NEXT:    ret i1 false
;
  %a = uitofp i32 %x to float
  %r = fcmp nnan ult float %a, 0.000000e+00
  ret i1 %r
}

define <2 x i1> @UIToFP_nnan_is_not_negative_vec(<2 x i32> %x) {
; CHECK-LABEL: @UIToFP_nnan_is_not_negative_vec(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %a = uitofp <2 x i32> %x to <2 x float>
  %r = fcmp nnan ult <2 x float> %a, zeroinitializer
  ret <2 x i1> %r
}

define i1 @fabs_is_nan_or_positive_or_zero(double %x) {
; CHECK-LABEL: @fabs_is_nan_or_positive_or_zero(
; CHECK-NEXT:    ret i1 true
;
  %fabs = tail call double @llvm.fabs.f64(double %x)
  %cmp = fcmp uge double %fabs, 0.0
  ret i1 %cmp
}

define <2 x i1> @fabs_is_nan_or_positive_or_zero_vec(<2 x double> %x) {
; CHECK-LABEL: @fabs_is_nan_or_positive_or_zero_vec(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %fabs = tail call <2 x double> @llvm.fabs.v2f64(<2 x double> %x)
  %cmp = fcmp uge <2 x double> %fabs, zeroinitializer
  ret <2 x i1> %cmp
}

define i1 @fabs_nnan_is_positive_or_zero(double %x) {
; CHECK-LABEL: @fabs_nnan_is_positive_or_zero(
; CHECK-NEXT:    ret i1 true
;
  %fabs = tail call nnan double @llvm.fabs.f64(double %x)
  %cmp = fcmp oge double %fabs, 0.0
  ret i1 %cmp
}

define <2 x i1> @fabs_nnan_is_positive_or_zero_vec(<2 x double> %x) {
; CHECK-LABEL: @fabs_nnan_is_positive_or_zero_vec(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %fabs = tail call nnan <2 x double> @llvm.fabs.v2f64(<2 x double> %x)
  %cmp = fcmp oge <2 x double> %fabs, zeroinitializer
  ret <2 x i1> %cmp
}

define i1 @fabs_fcmp-nnan_is_positive_or_zero(double %x) {
; CHECK-LABEL: @fabs_fcmp-nnan_is_positive_or_zero(
; CHECK-NEXT:    ret i1 true
;
  %fabs = tail call double @llvm.fabs.f64(double %x)
  %cmp = fcmp nnan oge double %fabs, 0.0
  ret i1 %cmp
}

define i1 @fabs_fcmp_oge0-assume-nnan_is_positive_or_zero(double %x) {
; CHECK-LABEL: @fabs_fcmp_oge0-assume-nnan_is_positive_or_zero(
; CHECK-NEXT:    [[FABS:%.*]] = tail call double @llvm.fabs.f64(double [[X:%.*]])
; CHECK-NEXT:    [[ORD:%.*]] = fcmp ord double [[FABS]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ORD]])
; CHECK-NEXT:    ret i1 true
;
  %fabs = tail call double @llvm.fabs.f64(double %x)
  %ord = fcmp ord double %fabs, 0.0
  call void @llvm.assume(i1 %ord)
  %cmp = fcmp oge double %fabs, 0.0
  ret i1 %cmp
}

define i1 @fabs_fcmp_olt0_-assume-nnan_is_positive_or_zero(double %x) {
; CHECK-LABEL: @fabs_fcmp_olt0_-assume-nnan_is_positive_or_zero(
; CHECK-NEXT:    [[FABS:%.*]] = tail call double @llvm.fabs.f64(double [[X:%.*]])
; CHECK-NEXT:    [[ORD:%.*]] = fcmp ord double [[FABS]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ORD]])
; CHECK-NEXT:    ret i1 false
;
  %fabs = tail call double @llvm.fabs.f64(double %x)
  %ord = fcmp ord double %fabs, 0.0
  call void @llvm.assume(i1 %ord)
  %cmp = fcmp olt double %fabs, 0.0
  ret i1 %cmp
}

define <2 x i1> @fabs_fcmp-nnan_is_positive_or_zero_vec(<2 x double> %x) {
; CHECK-LABEL: @fabs_fcmp-nnan_is_positive_or_zero_vec(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %fabs = tail call <2 x double> @llvm.fabs.v2f64(<2 x double> %x)
  %cmp = fcmp nnan oge <2 x double> %fabs, zeroinitializer
  ret <2 x i1> %cmp
}

define i1 @fabs_is_not_negative(double %x) {
; CHECK-LABEL: @fabs_is_not_negative(
; CHECK-NEXT:    ret i1 false
;
  %fabs = tail call double @llvm.fabs.f64(double %x)
  %cmp = fcmp olt double %fabs, 0.0
  ret i1 %cmp
}

define <2 x i1> @fabs_is_not_negative_vec(<2 x double> %x) {
; CHECK-LABEL: @fabs_is_not_negative_vec(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %fabs = tail call <2 x double> @llvm.fabs.v2f64(<2 x double> %x)
  %cmp = fcmp olt <2 x double> %fabs, zeroinitializer
  ret <2 x i1> %cmp
}

define i1 @fabs_nnan_is_not_negative(double %x) {
; CHECK-LABEL: @fabs_nnan_is_not_negative(
; CHECK-NEXT:    ret i1 false
;
  %fabs = tail call nnan double @llvm.fabs.f64(double %x)
  %cmp = fcmp ult double %fabs, 0.0
  ret i1 %cmp
}

define <2 x i1> @fabs_nnan_is_not_negative_vec(<2 x double> %x) {
; CHECK-LABEL: @fabs_nnan_is_not_negative_vec(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %fabs = tail call nnan <2 x double> @llvm.fabs.v2f64(<2 x double> %x)
  %cmp = fcmp ult <2 x double> %fabs, zeroinitializer
  ret <2 x i1> %cmp
}

define i1 @fabs_fcmp-nnan_is_not_negative(double %x) {
; CHECK-LABEL: @fabs_fcmp-nnan_is_not_negative(
; CHECK-NEXT:    ret i1 false
;
  %fabs = tail call double @llvm.fabs.f64(double %x)
  %cmp = fcmp nnan ult double %fabs, 0.0
  ret i1 %cmp
}

define <2 x i1> @fabs_fcmp-nnan_is_not_negative_vec(<2 x double> %x) {
; CHECK-LABEL: @fabs_fcmp-nnan_is_not_negative_vec(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %fabs = tail call <2 x double> @llvm.fabs.v2f64(<2 x double> %x)
  %cmp = fcmp nnan ult <2 x double> %fabs, zeroinitializer
  ret <2 x i1> %cmp
}

define <2 x i1> @fabs_is_not_negative_negzero(<2 x float> %V) {
; CHECK-LABEL: @fabs_is_not_negative_negzero(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %abs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %V)
  %cmp = fcmp olt <2 x float> %abs, <float -0.0, float -0.0>
  ret <2 x i1> %cmp
}

define <2 x i1> @fabs_is_not_negative_poszero(<2 x float> %V) {
; CHECK-LABEL: @fabs_is_not_negative_poszero(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %abs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %V)
  %cmp = fcmp olt <2 x float> %abs, <float 0.0, float 0.0>
  ret <2 x i1> %cmp
}

define <2 x i1> @fabs_is_not_negative_anyzero(<2 x float> %V) {
; CHECK-LABEL: @fabs_is_not_negative_anyzero(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %abs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %V)
  %cmp = fcmp olt <2 x float> %abs, <float 0.0, float -0.0>
  ret <2 x i1> %cmp
}

define <3 x i1> @fabs_is_not_negative_negzero_poison(<3 x float> %V) {
; CHECK-LABEL: @fabs_is_not_negative_negzero_poison(
; CHECK-NEXT:    ret <3 x i1> zeroinitializer
;
  %abs = call <3 x float> @llvm.fabs.v3f32(<3 x float> %V)
  %cmp = fcmp olt <3 x float> %abs, <float -0.0, float -0.0, float poison>
  ret <3 x i1> %cmp
}

define <3 x i1> @fabs_is_not_negative_poszero_poison(<3 x float> %V) {
; CHECK-LABEL: @fabs_is_not_negative_poszero_poison(
; CHECK-NEXT:    ret <3 x i1> zeroinitializer
;
  %abs = call <3 x float> @llvm.fabs.v3f32(<3 x float> %V)
  %cmp = fcmp olt <3 x float> %abs, <float 0.0, float 0.0, float poison>
  ret <3 x i1> %cmp
}

define <3 x i1> @fabs_is_not_negative_anyzero_poison(<3 x float> %V) {
; CHECK-LABEL: @fabs_is_not_negative_anyzero_poison(
; CHECK-NEXT:    ret <3 x i1> zeroinitializer
;
  %abs = call <3 x float> @llvm.fabs.v3f32(<3 x float> %V)
  %cmp = fcmp olt <3 x float> %abs, <float 0.0, float -0.0, float poison>
  ret <3 x i1> %cmp
}

define i1 @orderedLessZeroSelect(float, float) {
; CHECK-LABEL: @orderedLessZeroSelect(
; CHECK-NEXT:    ret i1 true
;
  %a = call float @llvm.exp.f32(float %0)
  %b = call float @llvm.fabs.f32(float %1)
  %c = fcmp olt float %0, %1
  %d = select i1 %c, float %a, float %b
  %e = fadd float %d, 1.0
  %uge = fcmp uge float %e, 0.000000e+00
  ret i1 %uge
}

define i1 @orderedLessZeroMinNum(float, float) {
; CHECK-LABEL: @orderedLessZeroMinNum(
; CHECK-NEXT:    ret i1 true
;
  %a = call float @llvm.exp.f32(float %0)
  %b = call float @llvm.fabs.f32(float %1)
  %c = call float @llvm.minnum.f32(float %a, float %b)
  %uge = fcmp uge float %c, 0.000000e+00
  ret i1 %uge
}

; PR37776: https://bugs.llvm.org/show_bug.cgi?id=37776
; exp() may return nan, leaving %1 as the unknown result, so we can't simplify.

define i1 @orderedLessZeroMaxNum(float, float) {
; CHECK-LABEL: @orderedLessZeroMaxNum(
; CHECK-NEXT:    [[A:%.*]] = call float @llvm.exp.f32(float [[TMP0:%.*]])
; CHECK-NEXT:    [[B:%.*]] = call float @llvm.maxnum.f32(float [[A]], float [[TMP1:%.*]])
; CHECK-NEXT:    [[UGE:%.*]] = fcmp uge float [[B]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[UGE]]
;
  %a = call float @llvm.exp.f32(float %0)
  %b = call float @llvm.maxnum.f32(float %a, float %1)
  %uge = fcmp uge float %b, 0.000000e+00
  ret i1 %uge
}

; But using maximum, we can simplify, since the NaN would be propagated

define i1 @orderedLessZeroMaximum(float, float) {
; CHECK-LABEL: @orderedLessZeroMaximum(
; CHECK-NEXT:    ret i1 true
;
  %a = call float @llvm.exp.f32(float %0)
  %b = call float @llvm.maximum.f32(float %a, float %1)
  %uge = fcmp uge float %b, 0.000000e+00
  ret i1 %uge
}

define i1 @minnum_non_nan(float %x) {
; CHECK-LABEL: @minnum_non_nan(
; CHECK-NEXT:    ret i1 true
;
  %min = call float @llvm.minnum.f32(float 0.5, float %x)
  %cmp = fcmp ord float %min, 1.0
  ret i1 %cmp
}

define i1 @maxnum_non_nan(float %x) {
; CHECK-LABEL: @maxnum_non_nan(
; CHECK-NEXT:    ret i1 false
;
  %min = call float @llvm.maxnum.f32(float %x, float 42.0)
  %cmp = fcmp uno float %min, 12.0
  ret i1 %cmp
}

define i1 @assume_nonnan_ord(float %x) {
; CHECK-LABEL: @assume_nonnan_ord(
; CHECK-NEXT:    [[ORD:%.*]] = fcmp ord float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ORD]])
; CHECK-NEXT:    ret i1 true
;
  %ord = fcmp ord float %x, 0.0
  call void @llvm.assume(i1 %ord)
  %cmp = fcmp ord float %x, 1.0
  ret i1 %cmp
}

define i1 @assume_nonnan_x2_ord(float %x, float %y) {
; CHECK-LABEL: @assume_nonnan_x2_ord(
; CHECK-NEXT:    [[ORD_X:%.*]] = fcmp ord float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ORD_X]])
; CHECK-NEXT:    [[ORD_Y:%.*]] = fcmp ord float [[Y:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ORD_Y]])
; CHECK-NEXT:    ret i1 true
;
  %ord.x = fcmp ord float %x, 0.0
  call void @llvm.assume(i1 %ord.x)
  %ord.y = fcmp ord float %y, 0.0
  call void @llvm.assume(i1 %ord.y)
  %cmp = fcmp ord float %x, %y
  ret i1 %cmp
}

define i1 @assume_nan_x2_uno(float %x, float %y) {
; CHECK-LABEL: @assume_nan_x2_uno(
; CHECK-NEXT:    [[UNO_X:%.*]] = fcmp uno float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[UNO_X]])
; CHECK-NEXT:    [[UNO_Y:%.*]] = fcmp uno float [[Y:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[UNO_Y]])
; CHECK-NEXT:    ret i1 true
;
  %uno.x = fcmp uno float %x, 0.0
  call void @llvm.assume(i1 %uno.x)
  %uno.y = fcmp uno float %y, 0.0
  call void @llvm.assume(i1 %uno.y)
  %cmp = fcmp uno float %x, %y
  ret i1 %cmp
}

define i1 @assume_nan_x2_ord(float %x, float %y) {
; CHECK-LABEL: @assume_nan_x2_ord(
; CHECK-NEXT:    [[UNO_X:%.*]] = fcmp uno float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[UNO_X]])
; CHECK-NEXT:    [[UNO_Y:%.*]] = fcmp uno float [[Y:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[UNO_Y]])
; CHECK-NEXT:    ret i1 false
;
  %uno.x = fcmp uno float %x, 0.0
  call void @llvm.assume(i1 %uno.x)
  %uno.y = fcmp uno float %y, 0.0
  call void @llvm.assume(i1 %uno.y)
  %cmp = fcmp ord float %x, %y
  ret i1 %cmp
}

define i1 @assume_nonan_x2_uno(float %x, float %y) {
; CHECK-LABEL: @assume_nonan_x2_uno(
; CHECK-NEXT:    [[ORD_X:%.*]] = fcmp ord float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ORD_X]])
; CHECK-NEXT:    [[ORD_Y:%.*]] = fcmp ord float [[Y:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ORD_Y]])
; CHECK-NEXT:    ret i1 false
;
  %ord.x = fcmp ord float %x, 0.0
  call void @llvm.assume(i1 %ord.x)
  %ord.y = fcmp ord float %y, 0.0
  call void @llvm.assume(i1 %ord.y)
  %cmp = fcmp uno float %x, %y
  ret i1 %cmp
}

define i1 @assume_nan_ord(float %x) {
; CHECK-LABEL: @assume_nan_ord(
; CHECK-NEXT:    [[UNO:%.*]] = fcmp uno float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[UNO]])
; CHECK-NEXT:    ret i1 false
;
  %uno = fcmp uno float %x, 0.0
  call void @llvm.assume(i1 %uno)
  %cmp = fcmp ord float %x, 1.0
  ret i1 %cmp
}

define i1 @assume_nonnan_uno(float %x) {
; CHECK-LABEL: @assume_nonnan_uno(
; CHECK-NEXT:    [[ORD:%.*]] = fcmp ord float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ORD]])
; CHECK-NEXT:    ret i1 false
;
  %ord = fcmp ord float %x, 0.0
  call void @llvm.assume(i1 %ord)
  %cmp = fcmp uno float %x, 1.0
  ret i1 %cmp
}

define i1 @assume_nan_uno(float %x) {
; CHECK-LABEL: @assume_nan_uno(
; CHECK-NEXT:    [[UNO:%.*]] = fcmp uno float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[UNO]])
; CHECK-NEXT:    ret i1 true
;
  %uno = fcmp uno float %x, 0.0
  call void @llvm.assume(i1 %uno)
  %cmp = fcmp uno float %x, 1.0
  ret i1 %cmp
}

; min(x, 0.5) == 1.0 --> false

define i1 @minnum_oeq_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_oeq_small_min_constant(
; CHECK-NEXT:    ret i1 false
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp oeq float %min, 1.0
  ret i1 %cmp
}

; min(x, 0.5) > 1.0 --> false

define i1 @minnum_ogt_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_ogt_small_min_constant(
; CHECK-NEXT:    ret i1 false
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp ogt float %min, 1.0
  ret i1 %cmp
}

; min(x, 0.5) >= 1.0 --> false

define i1 @minnum_oge_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_oge_small_min_constant(
; CHECK-NEXT:    ret i1 false
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp oge float %min, 1.0
  ret i1 %cmp
}

; min(x, 0.5) == 1.0 --> false

define i1 @minnum_ueq_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_ueq_small_min_constant(
; CHECK-NEXT:    ret i1 false
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp ueq float %min, 1.0
  ret i1 %cmp
}

; min(x, 0.5) > 1.0 --> false

define i1 @minnum_ugt_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_ugt_small_min_constant(
; CHECK-NEXT:    ret i1 false
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp ugt float %min, 1.0
  ret i1 %cmp
}

; min(x, 0.5) >= 1.0 --> false

define <2 x i1> @minnum_uge_small_min_constant(<2 x float> %x) {
; CHECK-LABEL: @minnum_uge_small_min_constant(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %min = call <2 x float> @llvm.minnum.v2f32(<2 x float> %x, <2 x float> <float 0.5, float 0.5>)
  %cmp = fcmp uge <2 x float> %min, <float 1.0, float 1.0>
  ret <2 x i1> %cmp
}

; min(x, 0.5) < 1.0 --> true

define <2 x i1> @minnum_olt_small_min_constant(<2 x float> %x) {
; CHECK-LABEL: @minnum_olt_small_min_constant(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %min = call <2 x float> @llvm.minnum.v2f32(<2 x float> %x, <2 x float> <float 0.5, float 0.5>)
  %cmp = fcmp olt <2 x float> %min, <float 1.0, float 1.0>
  ret <2 x i1> %cmp
}

; min(x, 0.5) <= 1.0 --> true

define i1 @minnum_ole_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_ole_small_min_constant(
; CHECK-NEXT:    ret i1 true
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp ole float %min, 1.0
  ret i1 %cmp
}

; min(x, 0.5) != 1.0 --> true

define i1 @minnum_one_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_one_small_min_constant(
; CHECK-NEXT:    ret i1 true
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp one float %min, 1.0
  ret i1 %cmp
}

; min(x, 0.5) < 1.0 --> true

define i1 @minnum_ult_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_ult_small_min_constant(
; CHECK-NEXT:    ret i1 true
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp ult float %min, 1.0
  ret i1 %cmp
}

; min(x, 0.5) <= 1.0 --> true

define i1 @minnum_ule_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_ule_small_min_constant(
; CHECK-NEXT:    ret i1 true
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp ule float %min, 1.0
  ret i1 %cmp
}

; min(x, 0.5) != 1.0 --> true

define i1 @minnum_une_small_min_constant(float %x) {
; CHECK-LABEL: @minnum_une_small_min_constant(
; CHECK-NEXT:    ret i1 true
;
  %min = call float @llvm.minnum.f32(float %x, float 0.5)
  %cmp = fcmp une float %min, 1.0
  ret i1 %cmp
}

; Negative test:
; min(x, 1.0) != 1.0 --> ?

define i1 @minnum_une_equal_min_constant(float %x) {
; CHECK-LABEL: @minnum_une_equal_min_constant(
; CHECK-NEXT:    [[MIN:%.*]] = call float @llvm.minnum.f32(float [[X:%.*]], float 1.000000e+00)
; CHECK-NEXT:    [[CMP:%.*]] = fcmp une float [[MIN]], 1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %min = call float @llvm.minnum.f32(float %x, float 1.0)
  %cmp = fcmp une float %min, 1.0
  ret i1 %cmp
}

; Negative test:
; min(x, 2.0) != 1.0 --> ?

define i1 @minnum_une_large_min_constant(float %x) {
; CHECK-LABEL: @minnum_une_large_min_constant(
; CHECK-NEXT:    [[MIN:%.*]] = call float @llvm.minnum.f32(float [[X:%.*]], float 2.000000e+00)
; CHECK-NEXT:    [[CMP:%.*]] = fcmp une float [[MIN]], 1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %min = call float @llvm.minnum.f32(float %x, float 2.0)
  %cmp = fcmp une float %min, 1.0
  ret i1 %cmp
}

; Partial negative test (the minnum simplifies):
; min(x, NaN) != 1.0 --> x != 1.0

define i1 @minnum_une_nan_min_constant(float %x) {
; CHECK-LABEL: @minnum_une_nan_min_constant(
; CHECK-NEXT:    [[CMP:%.*]] = fcmp une float [[X:%.*]], 1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %min = call float @llvm.minnum.f32(float %x, float 0x7FF8000000000000)
  %cmp = fcmp une float %min, 1.0
  ret i1 %cmp
}

; max(x, 1.5) == 1.0 --> false

define i1 @maxnum_oeq_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_oeq_large_max_constant(
; CHECK-NEXT:    ret i1 false
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp oeq float %max, 1.0
  ret i1 %cmp
}

; max(x, 1.5) < 1.0 --> false

define i1 @maxnum_olt_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_olt_large_max_constant(
; CHECK-NEXT:    ret i1 false
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp olt float %max, 1.0
  ret i1 %cmp
}

; max(x, 1.5) <= 1.0 --> false

define i1 @maxnum_ole_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_ole_large_max_constant(
; CHECK-NEXT:    ret i1 false
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp ole float %max, 1.0
  ret i1 %cmp
}

; max(x, 1.5) == 1.0 --> false

define i1 @maxnum_ueq_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_ueq_large_max_constant(
; CHECK-NEXT:    ret i1 false
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp ueq float %max, 1.0
  ret i1 %cmp
}

; max(x, 1.5) < 1.0 --> false

define i1 @maxnum_ult_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_ult_large_max_constant(
; CHECK-NEXT:    ret i1 false
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp ult float %max, 1.0
  ret i1 %cmp
}

; max(x, 1.5) <= 1.0 --> false

define <2 x i1> @maxnum_ule_large_max_constant(<2 x float> %x) {
; CHECK-LABEL: @maxnum_ule_large_max_constant(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %max = call <2 x float> @llvm.maxnum.v2f32(<2 x float> %x, <2 x float> <float 1.5, float 1.5>)
  %cmp = fcmp ule <2 x float> %max, <float 1.0, float 1.0>
  ret <2 x i1> %cmp
}

; max(x, 1.5) > 1.0 --> true

define <2 x i1> @maxnum_ogt_large_max_constant(<2 x float> %x) {
; CHECK-LABEL: @maxnum_ogt_large_max_constant(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %max = call <2 x float> @llvm.maxnum.v2f32(<2 x float> %x, <2 x float> <float 1.5, float 1.5>)
  %cmp = fcmp ogt <2 x float> %max, <float 1.0, float 1.0>
  ret <2 x i1> %cmp
}

; max(x, 1.5) >= 1.0 --> true

define i1 @maxnum_oge_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_oge_large_max_constant(
; CHECK-NEXT:    ret i1 true
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp oge float %max, 1.0
  ret i1 %cmp
}

; max(x, 1.5) != 1.0 --> true

define i1 @maxnum_one_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_one_large_max_constant(
; CHECK-NEXT:    ret i1 true
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp one float %max, 1.0
  ret i1 %cmp
}

; max(x, 1.5) > 1.0 --> true

define i1 @maxnum_ugt_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_ugt_large_max_constant(
; CHECK-NEXT:    ret i1 true
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp ugt float %max, 1.0
  ret i1 %cmp
}

; max(x, 1.5) >= 1.0 --> true

define i1 @maxnum_uge_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_uge_large_max_constant(
; CHECK-NEXT:    ret i1 true
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp uge float %max, 1.0
  ret i1 %cmp
}

; max(x, 1.5) != 1.0 --> true

define i1 @maxnum_une_large_max_constant(float %x) {
; CHECK-LABEL: @maxnum_une_large_max_constant(
; CHECK-NEXT:    ret i1 true
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.5)
  %cmp = fcmp une float %max, 1.0
  ret i1 %cmp
}

; Negative test:
; max(x, 1.0) != 1.0 --> ?

define i1 @maxnum_une_equal_max_constant(float %x) {
; CHECK-LABEL: @maxnum_une_equal_max_constant(
; CHECK-NEXT:    [[MAX:%.*]] = call float @llvm.maxnum.f32(float [[X:%.*]], float 1.000000e+00)
; CHECK-NEXT:    [[CMP:%.*]] = fcmp une float [[MAX]], 1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %max = call float @llvm.maxnum.f32(float %x, float 1.0)
  %cmp = fcmp une float %max, 1.0
  ret i1 %cmp
}

; Negative test:
; max(x, 0.5) != 1.0 --> ?

define i1 @maxnum_une_small_max_constant(float %x) {
; CHECK-LABEL: @maxnum_une_small_max_constant(
; CHECK-NEXT:    [[MAX:%.*]] = call float @llvm.maxnum.f32(float [[X:%.*]], float 5.000000e-01)
; CHECK-NEXT:    [[CMP:%.*]] = fcmp une float [[MAX]], 1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %max = call float @llvm.maxnum.f32(float %x, float 0.5)
  %cmp = fcmp une float %max, 1.0
  ret i1 %cmp
}

; Partial negative test (the maxnum simplifies):
; max(x, NaN) != 1.0 --> x != 1.0

define i1 @maxnum_une_nan_max_constant(float %x) {
; CHECK-LABEL: @maxnum_une_nan_max_constant(
; CHECK-NEXT:    [[CMP:%.*]] = fcmp une float [[X:%.*]], 1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %max = call float @llvm.maxnum.f32(float %x, float 0x7FF8000000000000)
  %cmp = fcmp une float %max, 1.0
  ret i1 %cmp
}

define i1 @known_positive_olt_with_negative_constant(double %a) {
; CHECK-LABEL: @known_positive_olt_with_negative_constant(
; CHECK-NEXT:    ret i1 false
;
  %call = call double @llvm.fabs.f64(double %a)
  %cmp = fcmp olt double %call, -1.0
  ret i1 %cmp
}

define i1 @known_positive_nsz_olt_with_negative_constant(double %mag, double %a) {
; CHECK-LABEL: @known_positive_nsz_olt_with_negative_constant(
; CHECK-NEXT:    [[SQRT:%.*]] = call nsz double @llvm.sqrt.f64(double [[A:%.*]])
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call double @llvm.copysign.f64(double [[MAG:%.*]], double [[SQRT]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp olt double [[COPYSIGN]], -1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %sqrt = call nsz double @llvm.sqrt.f64(double %a)
  %copysign = call double @llvm.copysign.f64(double %mag, double %sqrt)
  %cmp = fcmp olt double %copysign, -1.0
  ret i1 %cmp
}

define i1 @known_positive_maybe_neg0_olt_with_negative_constant(double %mag, double %a) {
; CHECK-LABEL: @known_positive_maybe_neg0_olt_with_negative_constant(
; CHECK-NEXT:    [[SQRT:%.*]] = call double @llvm.sqrt.f64(double [[A:%.*]])
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call double @llvm.copysign.f64(double [[MAG:%.*]], double [[SQRT]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp olt double [[COPYSIGN]], -1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %sqrt = call double @llvm.sqrt.f64(double %a)
  %copysign = call double @llvm.copysign.f64(double %mag, double %sqrt)
  %cmp = fcmp olt double %copysign, -1.0
  ret i1 %cmp
}

define i1 @known_positive_nsz_uge_with_negative_constant(double %mag, double %a) {
; CHECK-LABEL: @known_positive_nsz_uge_with_negative_constant(
; CHECK-NEXT:    [[SQRT:%.*]] = call nsz double @llvm.sqrt.f64(double [[A:%.*]])
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call double @llvm.copysign.f64(double [[MAG:%.*]], double [[SQRT]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp uge double [[COPYSIGN]], -1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %sqrt = call nsz double @llvm.sqrt.f64(double %a)
  %copysign = call double @llvm.copysign.f64(double %mag, double %sqrt)
  %cmp = fcmp uge double %copysign, -1.0
  ret i1 %cmp
}

define i1 @known_positive_maybe_neg0_uge_with_negative_constant(double %mag, double %a) {
; CHECK-LABEL: @known_positive_maybe_neg0_uge_with_negative_constant(
; CHECK-NEXT:    [[SQRT:%.*]] = call double @llvm.sqrt.f64(double [[A:%.*]])
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call double @llvm.copysign.f64(double [[MAG:%.*]], double [[SQRT]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp uge double [[COPYSIGN]], -1.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %sqrt = call double @llvm.sqrt.f64(double %a)
  %copysign = call double @llvm.copysign.f64(double %mag, double %sqrt)
  %cmp = fcmp uge double %copysign, -1.0
  ret i1 %cmp
}

define i1 @known_positive_nsz_oge_with_zero_constant(double %mag, double %a) {
; CHECK-LABEL: @known_positive_nsz_oge_with_zero_constant(
; CHECK-NEXT:    [[SQRT:%.*]] = call nsz double @llvm.sqrt.f64(double [[A:%.*]])
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call double @llvm.copysign.f64(double [[MAG:%.*]], double [[SQRT]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp oge double [[COPYSIGN]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %sqrt = call nsz double @llvm.sqrt.f64(double %a)
  %copysign = call double @llvm.copysign.f64(double %mag, double %sqrt)
  %cmp = fcmp oge double %copysign, 0.0
  ret i1 %cmp
}

define i1 @known_positive_maybe_neg0_oge_with_zero_constant(double %mag, double %a) {
; CHECK-LABEL: @known_positive_maybe_neg0_oge_with_zero_constant(
; CHECK-NEXT:    [[SQRT:%.*]] = call double @llvm.sqrt.f64(double [[A:%.*]])
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call double @llvm.copysign.f64(double [[MAG:%.*]], double [[SQRT]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp oge double [[COPYSIGN]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %sqrt = call double @llvm.sqrt.f64(double %a)
  %copysign = call double @llvm.copysign.f64(double %mag, double %sqrt)
  %cmp = fcmp oge double %copysign, 0.0
  ret i1 %cmp
}

define i1 @known_positive_nsz_olt_with_zero_constant(double %mag, double %a) {
; CHECK-LABEL: @known_positive_nsz_olt_with_zero_constant(
; CHECK-NEXT:    [[SQRT:%.*]] = call nsz double @llvm.sqrt.f64(double [[A:%.*]])
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call double @llvm.copysign.f64(double [[MAG:%.*]], double [[SQRT]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp olt double [[COPYSIGN]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %sqrt = call nsz double @llvm.sqrt.f64(double %a)
  %copysign = call double @llvm.copysign.f64(double %mag, double %sqrt)
  %cmp = fcmp olt double %copysign, 0.0
  ret i1 %cmp
}

define i1 @known_positive_maybe_neg0_olt_with_zero_constant(double %mag, double %a) {
; CHECK-LABEL: @known_positive_maybe_neg0_olt_with_zero_constant(
; CHECK-NEXT:    [[SQRT:%.*]] = call double @llvm.sqrt.f64(double [[A:%.*]])
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call double @llvm.copysign.f64(double [[MAG:%.*]], double [[SQRT]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp olt double [[COPYSIGN]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %sqrt = call double @llvm.sqrt.f64(double %a)
  %copysign = call double @llvm.copysign.f64(double %mag, double %sqrt)
  %cmp = fcmp olt double %copysign, 0.0
  ret i1 %cmp
}

define i1 @assumed_positive_olt_with_negative_constant(double %a) {
; CHECK-LABEL: @assumed_positive_olt_with_negative_constant(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp oge double [[A:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 false
;
  %assume.cmp = fcmp oge double %a, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %cmp = fcmp olt double %a, -1.0
  ret i1 %cmp
}

define i1 @assumed_positive_ole_with_negative_constant(double %a) {
; CHECK-LABEL: @assumed_positive_ole_with_negative_constant(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp oge double [[A:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 false
;
  %assume.cmp = fcmp oge double %a, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %cmp = fcmp ole double %a, -1.0
  ret i1 %cmp
}

define i1 @assumed_positive_oeq_with_negative_constant(double %a) {
; CHECK-LABEL: @assumed_positive_oeq_with_negative_constant(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp oge double [[A:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 false
;
  %assume.cmp = fcmp oge double %a, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %cmp = fcmp oeq double %a, -1.0
  ret i1 %cmp
}

define <2 x i1> @known_positive_ole_with_negative_constant_splat_vec(<2 x i32> %a) {
; CHECK-LABEL: @known_positive_ole_with_negative_constant_splat_vec(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %call = uitofp <2 x i32> %a to <2 x double>
  %cmp = fcmp ole <2 x double> %call, <double -2.0, double -2.0>
  ret <2 x i1> %cmp
}

define i1 @known_positive_ugt_with_negative_constant(i32 %a) {
; CHECK-LABEL: @known_positive_ugt_with_negative_constant(
; CHECK-NEXT:    ret i1 true
;
  %call = uitofp i32 %a to float
  %cmp = fcmp ugt float %call, -3.0
  ret i1 %cmp
}

define i1 @assumed_positive_ugt_with_negative_constant(float %a) {
; CHECK-LABEL: @assumed_positive_ugt_with_negative_constant(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp ogt float [[A:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 true
;
  %assume.cmp = fcmp ogt float %a, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %cmp = fcmp ugt float %a, -3.0
  ret i1 %cmp
}

define i1 @assumed_positive_uge_with_negative_constant(float %a) {
; CHECK-LABEL: @assumed_positive_uge_with_negative_constant(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp ogt float [[A:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 true
;
  %assume.cmp = fcmp ogt float %a, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %cmp = fcmp uge float %a, -3.0
  ret i1 %cmp
}

define i1 @assumed_positive_une_with_negative_constant(float %a) {
; CHECK-LABEL: @assumed_positive_une_with_negative_constant(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp ogt float [[A:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 true
;
  %assume.cmp = fcmp ogt float %a, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %cmp = fcmp une float %a, -3.0
  ret i1 %cmp
}

define <2 x i1> @known_positive_uge_with_negative_constant_splat_vec(<2 x float> %a) {
; CHECK-LABEL: @known_positive_uge_with_negative_constant_splat_vec(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %call = call <2 x float> @llvm.fabs.v2f32(<2 x float> %a)
  %cmp = fcmp uge <2 x float> %call, <float -4.0, float -4.0>
  ret <2 x i1> %cmp
}

define i1 @known_positive_oeq_with_negative_constant(half %a) {
; CHECK-LABEL: @known_positive_oeq_with_negative_constant(
; CHECK-NEXT:    ret i1 false
;
  %call = call half @llvm.fabs.f16(half %a)
  %cmp = fcmp oeq half %call, -5.0
  ret i1 %cmp
}

define <2 x i1> @known_positive_une_with_negative_constant_splat_vec(<2 x i32> %a) {
; CHECK-LABEL: @known_positive_une_with_negative_constant_splat_vec(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %call = uitofp <2 x i32> %a to <2 x half>
  %cmp = fcmp une <2 x half> %call, <half -6.0, half -6.0>
  ret <2 x i1> %cmp
}

define i1 @pr58046(i64 %arg) {
; CHECK-LABEL: @pr58046(
; CHECK-NEXT:    ret i1 true
;
  %fp = uitofp i64 %arg to double
  %mul = fmul double -0.000000e+00, %fp
  %div = fdiv double 1.000000e+00, %mul
  %cmp = fcmp oeq double %div, 0xFFF0000000000000
  ret i1 %cmp
}

define i1 @nonans1(double %in1, double %in2) {
; CHECK-LABEL: @nonans1(
; CHECK-NEXT:    ret i1 false
;
  %cmp = fcmp nnan uno double %in1, %in2
  ret i1 %cmp
}

define i1 @nonans2(double %in1, double %in2) {
; CHECK-LABEL: @nonans2(
; CHECK-NEXT:    ret i1 true
;
  %cmp = fcmp nnan ord double %in1, %in2
  ret i1 %cmp
}

define <2 x i1> @orderedCompareWithNaNVector(<2 x double> %A) {
; CHECK-LABEL: @orderedCompareWithNaNVector(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %cmp = fcmp olt <2 x double> %A, <double 0xFFFFFFFFFFFFFFFF, double 0xFFFFFFFFFFFFFFFF>
  ret <2 x i1> %cmp
}

define <2 x i1> @orderedCompareWithNaNVector_poison_elt(<2 x double> %A) {
; CHECK-LABEL: @orderedCompareWithNaNVector_poison_elt(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %cmp = fcmp olt <2 x double> %A, <double 0xFFFFFFFFFFFFFFFF, double poison>
  ret <2 x i1> %cmp
}

define <2 x i1> @unorderedCompareWithNaNVector_poison_elt(<2 x double> %A) {
; CHECK-LABEL: @unorderedCompareWithNaNVector_poison_elt(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %cmp = fcmp ult <2 x double> %A, <double poison, double 0xFFFFFFFFFFFFFFFF>
  ret <2 x i1> %cmp
}

define i1 @is_infinite(float %x) {
; CHECK-LABEL: @is_infinite(
; CHECK-NEXT:    ret i1 false
;
  %xabs = call ninf float @llvm.fabs.f32(float %x)
  %r = fcmp oeq float %xabs, 0x7FF0000000000000
  ret i1 %r
}

define i1 @is_infinite_assumed_finite(float %x) {
; CHECK-LABEL: @is_infinite_assumed_finite(
; CHECK-NEXT:    [[XABS:%.*]] = call float @llvm.fabs.f32(float [[X:%.*]])
; CHECK-NEXT:    [[NOT_INF:%.*]] = fcmp one float [[XABS]], 0x7FF0000000000000
; CHECK-NEXT:    call void @llvm.assume(i1 [[NOT_INF]])
; CHECK-NEXT:    ret i1 false
;
  %xabs = call float @llvm.fabs.f32(float %x)
  %not.inf = fcmp one float %xabs, 0x7FF0000000000000
  call void @llvm.assume(i1 %not.inf)
  %r = fcmp oeq float %xabs, 0x7FF0000000000000
  ret i1 %r
}

define i1 @une_inf_assumed_not_inf(float %x) {
; CHECK-LABEL: @une_inf_assumed_not_inf(
; CHECK-NEXT:    [[XABS:%.*]] = call float @llvm.fabs.f32(float [[X:%.*]])
; CHECK-NEXT:    [[NOT_INF:%.*]] = fcmp one float [[XABS]], 0x7FF0000000000000
; CHECK-NEXT:    call void @llvm.assume(i1 [[NOT_INF]])
; CHECK-NEXT:    ret i1 true
;
  %xabs = call float @llvm.fabs.f32(float %x)
  %not.inf = fcmp one float %xabs, 0x7FF0000000000000
  call void @llvm.assume(i1 %not.inf)
  %r = fcmp une float %xabs, 0x7FF0000000000000
  ret i1 %r
}

define <2 x i1> @is_infinite_neg(<2 x float> %x) {
; CHECK-LABEL: @is_infinite_neg(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %x42 = fadd ninf <2 x float> %x, <float 42.0, float 42.0>
  %r = fcmp oeq <2 x float> %x42, <float 0xFFF0000000000000, float 0xFFF0000000000000>
  ret <2 x i1> %r
}

; Negative test - but this could be reduced to 'uno' outside of instsimplify.

define i1 @is_infinite_or_nan(float %x) {
; CHECK-LABEL: @is_infinite_or_nan(
; CHECK-NEXT:    [[X42:%.*]] = fadd ninf float [[X:%.*]], 4.200000e+01
; CHECK-NEXT:    [[R:%.*]] = fcmp ueq float [[X42]], 0xFFF0000000000000
; CHECK-NEXT:    ret i1 [[R]]
;
  %x42 = fadd ninf float %x, 42.0
  %r = fcmp ueq float %x42, 0xFFF0000000000000
  ret i1 %r
}

define i1 @is_infinite_or_nan2(float %x) {
; CHECK-LABEL: @is_infinite_or_nan2(
; CHECK-NEXT:    ret i1 false
;
  %xabs = call nnan ninf float @llvm.fabs.f32(float %x)
  %r = fcmp ueq float %xabs, 0x7FF0000000000000
  ret i1 %r
}

define i1 @is_infinite_or_nan2_assume(float %x) {
; CHECK-LABEL: @is_infinite_or_nan2_assume(
; CHECK-NEXT:    [[XABS:%.*]] = call float @llvm.fabs.f32(float [[X:%.*]])
; CHECK-NEXT:    [[IS_INF_OR_NAN:%.*]] = fcmp one float [[XABS]], 0x7FF0000000000000
; CHECK-NEXT:    call void @llvm.assume(i1 [[IS_INF_OR_NAN]])
; CHECK-NEXT:    ret i1 false
;
  %xabs = call float @llvm.fabs.f32(float %x)
  %is.inf.or.nan = fcmp one float %xabs, 0x7FF0000000000000
  call void @llvm.assume(i1 %is.inf.or.nan)
  %r = fcmp ueq float %xabs, 0x7FF0000000000000
  ret i1 %r
}

define <2 x i1> @is_infinite_neg_or_nan(<2 x float> %x) {
; CHECK-LABEL: @is_infinite_neg_or_nan(
; CHECK-NEXT:    ret <2 x i1> zeroinitializer
;
  %x42 = fadd nnan ninf <2 x float> %x, <float 42.0, float 42.0>
  %r = fcmp ueq <2 x float> %x42, <float 0xFFF0000000000000, float 0xFFF0000000000000>
  ret <2 x i1> %r
}

define i1 @is_finite_or_nan(i1 %c, double %x) {
; CHECK-LABEL: @is_finite_or_nan(
; CHECK-NEXT:    ret i1 true
;
  %xx = fmul ninf double %x, %x
  %s = select i1 %c, double 42.0, double %xx
  %r = fcmp une double %s, 0x7FF0000000000000
  ret i1 %r
}

define <2 x i1> @is_finite_or_nan_commute(<2 x i8> %x) {
; CHECK-LABEL: @is_finite_or_nan_commute(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %cast = uitofp <2 x i8> %x to <2 x float>
  %r = fcmp une <2 x float> <float 0x7FF0000000000000, float 0x7FF0000000000000>, %cast
  ret <2 x i1> %r
}

; Negative test - but this could be reduced to 'ord' outside of instsimplify.

define i1 @is_finite_and_ordered(double %x) {
; CHECK-LABEL: @is_finite_and_ordered(
; CHECK-NEXT:    [[XX:%.*]] = fmul ninf double [[X:%.*]], [[X]]
; CHECK-NEXT:    [[R:%.*]] = fcmp one double [[XX]], 0x7FF0000000000000
; CHECK-NEXT:    ret i1 [[R]]
;
  %xx = fmul ninf double %x, %x
  %r = fcmp one double %xx, 0x7FF0000000000000
  ret i1 %r
}

define i1 @is_finite(i1 %c, double %x) {
; CHECK-LABEL: @is_finite(
; CHECK-NEXT:    ret i1 true
;
  %xx = fmul nnan ninf double %x, %x
  %s = select i1 %c, double 42.0, double %xx
  %r = fcmp one double %s, 0x7FF0000000000000
  ret i1 %r
}

define i1 @is_finite_assume(i1 %c, double %x) {
; CHECK-LABEL: @is_finite_assume(
; CHECK-NEXT:    [[XABS:%.*]] = call double @llvm.fabs.f64(double [[X:%.*]])
; CHECK-NEXT:    [[IS_INF_OR_NAN:%.*]] = fcmp one double [[XABS]], 0x7FF0000000000000
; CHECK-NEXT:    call void @llvm.assume(i1 [[IS_INF_OR_NAN]])
; CHECK-NEXT:    ret i1 true
;
  %xabs = call double @llvm.fabs.f64(double %x)
  %is.inf.or.nan = fcmp one double %xabs, 0x7FF0000000000000
  call void @llvm.assume(i1 %is.inf.or.nan)
  %s = select i1 %c, double 42.0, double %x
  %r = fcmp one double %s, 0x7FF0000000000000
  ret i1 %r
}

define <2 x i1> @is_finite_commute(<2 x i8> %x) {
; CHECK-LABEL: @is_finite_commute(
; CHECK-NEXT:    ret <2 x i1> <i1 true, i1 true>
;
  %cast = uitofp <2 x i8> %x to <2 x float>
  %r = fcmp one <2 x float> <float 0x7FF0000000000000, float 0x7FF0000000000000>, %cast
  ret <2 x i1> %r
}

define i1 @fcmp_oge_0_assumed_oge_zero(float %x) {
; CHECK-LABEL: @fcmp_oge_0_assumed_oge_zero(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp oge float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 true
;
  %assume.cmp = fcmp oge float %x, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %r = fcmp oge float %x, 0.000000e+00
  ret i1 %r
}

define i1 @fcmp_ult_0_assumed_oge_zero(float %x) {
; CHECK-LABEL: @fcmp_ult_0_assumed_oge_zero(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp oge float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 false
;
  %assume.cmp = fcmp oge float %x, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %r = fcmp ult float %x, 0.000000e+00
  ret i1 %r
}

define i1 @fcmp_uge_0_assumed_oge_zero(float %x) {
; CHECK-LABEL: @fcmp_uge_0_assumed_oge_zero(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp oge float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 true
;
  %assume.cmp = fcmp oge float %x, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %r = fcmp uge float %x, 0.000000e+00
  ret i1 %r
}

define i1 @fcmp_olt_0_assumed_oge_zero(float %x) {
; CHECK-LABEL: @fcmp_olt_0_assumed_oge_zero(
; CHECK-NEXT:    [[ASSUME_CMP:%.*]] = fcmp oge float [[X:%.*]], 0.000000e+00
; CHECK-NEXT:    call void @llvm.assume(i1 [[ASSUME_CMP]])
; CHECK-NEXT:    ret i1 false
;
  %assume.cmp = fcmp oge float %x, 0.0
  call void @llvm.assume(i1 %assume.cmp)
  %r = fcmp olt float %x, 0.000000e+00
  ret i1 %r
}

define i1 @ogt_zero_fabs_select_negone_or_pinf(i1 %cond) {
; CHECK-LABEL: @ogt_zero_fabs_select_negone_or_pinf(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    ret i1 true
;
entry:
  %select = select i1 %cond, float -1.0, float 0x7FF0000000000000
  %fabs = call float @llvm.fabs.f32(float %select)
  %one = fcmp ogt float %fabs, 0.0
  ret i1 %one
}

define i1 @ogt_zero_fabs_select_one_or_ninf(i1 %cond) {
; CHECK-LABEL: @ogt_zero_fabs_select_one_or_ninf(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    ret i1 true
;
entry:
  %select = select i1 %cond, float 1.0, float 0xFFF0000000000000
  %fabs = call float @llvm.fabs.f32(float %select)
  %one = fcmp ogt float %fabs, 0.0
  ret i1 %one
}

; Make sure we recognize fcmp < 0 is recognized as impossible here when simplifying the fcmp
define float @fast_square_must_be_positive_ieee(float %arg, float %arg1) {
; CHECK-LABEL: @fast_square_must_be_positive_ieee(
; CHECK-NEXT:  bb:
; CHECK-NEXT:    [[I:%.*]] = fmul float [[ARG:%.*]], [[ARG]]
; CHECK-NEXT:    [[I2:%.*]] = fmul float [[ARG1:%.*]], [[ARG1]]
; CHECK-NEXT:    [[I3:%.*]] = fadd float [[I2]], [[I]]
; CHECK-NEXT:    ret float [[I3]]
;
bb:
  %i = fmul float %arg, %arg
  %i2 = fmul float %arg1, %arg1
  %i3 = fadd float %i2, %i
  %i4 = fcmp olt float %i3, 0.000000e+00
  %i5 = select i1 %i4, float 0.000000e+00, float %i3
  ret float %i5
}

; Make sure we recognize fcmp < 0 is recognized as impossible here when simplifying the fcmp
define float @fast_square_must_be_positive_ieee_nnan(float %arg, float %arg1) {
; CHECK-LABEL: @fast_square_must_be_positive_ieee_nnan(
; CHECK-NEXT:  bb:
; CHECK-NEXT:    [[I:%.*]] = fmul float [[ARG:%.*]], [[ARG]]
; CHECK-NEXT:    [[I2:%.*]] = fmul float [[ARG1:%.*]], [[ARG1]]
; CHECK-NEXT:    [[I3:%.*]] = fadd float [[I2]], [[I]]
; CHECK-NEXT:    ret float [[I3]]
;
bb:
  %i = fmul float %arg, %arg
  %i2 = fmul float %arg1, %arg1
  %i3 = fadd float %i2, %i
  %i4 = fcmp nnan olt float %i3, 0.000000e+00
  %i5 = select i1 %i4, float 0.000000e+00, float %i3
  ret float %i5
}

; Make sure we recognize fcmp < 0 is recognized as impossible here when simplifying the fcmp
define float @fast_square_must_be_positive_daz(float %arg, float %arg1) #0 {
; CHECK-LABEL: @fast_square_must_be_positive_daz(
; CHECK-NEXT:  bb:
; CHECK-NEXT:    [[I:%.*]] = fmul float [[ARG:%.*]], [[ARG]]
; CHECK-NEXT:    [[I2:%.*]] = fmul float [[ARG1:%.*]], [[ARG1]]
; CHECK-NEXT:    [[I3:%.*]] = fadd float [[I2]], [[I]]
; CHECK-NEXT:    ret float [[I3]]
;
bb:
  %i = fmul float %arg, %arg
  %i2 = fmul float %arg1, %arg1
  %i3 = fadd float %i2, %i
  %i4 = fcmp olt float %i3, 0.000000e+00
  %i5 = select i1 %i4, float 0.000000e+00, float %i3
  ret float %i5
}

; Make sure we recognize fcmp < 0 is recognized as impossible here when simplifying the fcmp
define float @fast_square_must_be_positive_daz_nnan(float %arg, float %arg1) #0 {
; CHECK-LABEL: @fast_square_must_be_positive_daz_nnan(
; CHECK-NEXT:  bb:
; CHECK-NEXT:    [[I:%.*]] = fmul float [[ARG:%.*]], [[ARG]]
; CHECK-NEXT:    [[I2:%.*]] = fmul float [[ARG1:%.*]], [[ARG1]]
; CHECK-NEXT:    [[I3:%.*]] = fadd float [[I2]], [[I]]
; CHECK-NEXT:    ret float [[I3]]
;
bb:
  %i = fmul float %arg, %arg
  %i2 = fmul float %arg1, %arg1
  %i3 = fadd float %i2, %i
  %i4 = fcmp nnan olt float %i3, 0.000000e+00
  %i5 = select i1 %i4, float 0.000000e+00, float %i3
  ret float %i5
}

; Make the compare to negative constant is folded out
define float @must_be_olt_negative_constant_daz(float %arg, float %arg1) #0 {
; CHECK-LABEL: @must_be_olt_negative_constant_daz(
; CHECK-NEXT:  bb:
; CHECK-NEXT:    [[I:%.*]] = fmul float [[ARG:%.*]], [[ARG]]
; CHECK-NEXT:    [[I2:%.*]] = fmul float [[ARG1:%.*]], [[ARG1]]
; CHECK-NEXT:    [[I3:%.*]] = fadd float [[I2]], [[I]]
; CHECK-NEXT:    ret float [[I3]]
;
bb:
  %i = fmul float %arg, %arg
  %i2 = fmul float %arg1, %arg1
  %i3 = fadd float %i2, %i
  %i4 = fcmp olt float %i3, -1.0
  %i5 = select i1 %i4, float 0.000000e+00, float %i3
  ret float %i5
}

; Make the compare to negative constant is folded out
define float @must_be_olt_negative_constant_daz_nnan(float %arg, float %arg1) #0 {
; CHECK-LABEL: @must_be_olt_negative_constant_daz_nnan(
; CHECK-NEXT:  bb:
; CHECK-NEXT:    [[I:%.*]] = fmul float [[ARG:%.*]], [[ARG]]
; CHECK-NEXT:    [[I2:%.*]] = fmul float [[ARG1:%.*]], [[ARG1]]
; CHECK-NEXT:    [[I3:%.*]] = fadd float [[I2]], [[I]]
; CHECK-NEXT:    ret float [[I3]]
;
bb:
  %i = fmul float %arg, %arg
  %i2 = fmul float %arg1, %arg1
  %i3 = fadd float %i2, %i
  %i4 = fcmp nnan olt float %i3, -1.0
  %i5 = select i1 %i4, float 0.000000e+00, float %i3
  ret float %i5
}

define i1 @is_olt_smallest_normal_dynamic(float %x) "denormal-fp-math"="dynamic,dynamic" {
; CHECK-LABEL: @is_olt_smallest_normal_dynamic(
; CHECK-NEXT:    [[IS_DENORM_OR_ZERO:%.*]] = fcmp olt float [[X:%.*]], 0x3810000000000000
; CHECK-NEXT:    ret i1 [[IS_DENORM_OR_ZERO]]
;
  %is.denorm.or.zero = fcmp olt float %x, 0x3810000000000000
  ret i1 %is.denorm.or.zero
}

define i1 @is_olt_smallest_normal_ieee(float %x) "denormal-fp-math"="dynamic,ieee" {
; CHECK-LABEL: @is_olt_smallest_normal_ieee(
; CHECK-NEXT:    [[IS_DENORM_OR_ZERO:%.*]] = fcmp olt float [[X:%.*]], 0x3810000000000000
; CHECK-NEXT:    ret i1 [[IS_DENORM_OR_ZERO]]
;
  %is.denorm.or.zero = fcmp olt float %x, 0x3810000000000000
  ret i1 %is.denorm.or.zero
}

define i1 @is_olt_smallest_normal_preserve_sign(float %x) "denormal-fp-math"="dynamic,preserve-sign" {
; CHECK-LABEL: @is_olt_smallest_normal_preserve_sign(
; CHECK-NEXT:    [[IS_DENORM_OR_ZERO:%.*]] = fcmp olt float [[X:%.*]], 0x3810000000000000
; CHECK-NEXT:    ret i1 [[IS_DENORM_OR_ZERO]]
;
  %is.denorm.or.zero = fcmp olt float %x, 0x3810000000000000
  ret i1 %is.denorm.or.zero
}

define i1 @is_olt_smallest_normal_positive_zero(float %x) "denormal-fp-math"="dynamic,positive-zero" {
; CHECK-LABEL: @is_olt_smallest_normal_positive_zero(
; CHECK-NEXT:    [[IS_DENORM_OR_ZERO:%.*]] = fcmp olt float [[X:%.*]], 0x3810000000000000
; CHECK-NEXT:    ret i1 [[IS_DENORM_OR_ZERO]]
;
  %is.denorm.or.zero = fcmp olt float %x, 0x3810000000000000
  ret i1 %is.denorm.or.zero
}

define i1 @is_fabs_olt_smallest_normal_dynamic(float %x) "denormal-fp-math"="dynamic,dynamic" {
; CHECK-LABEL: @is_fabs_olt_smallest_normal_dynamic(
; CHECK-NEXT:    [[FABS_X:%.*]] = call float @llvm.fabs.f32(float [[X:%.*]])
; CHECK-NEXT:    [[IS_DENORM_OR_ZERO:%.*]] = fcmp olt float [[FABS_X]], 0x3810000000000000
; CHECK-NEXT:    ret i1 [[IS_DENORM_OR_ZERO]]
;
  %fabs.x = call float @llvm.fabs.f32(float %x)
  %is.denorm.or.zero = fcmp olt float %fabs.x, 0x3810000000000000
  ret i1 %is.denorm.or.zero
}

define i1 @is_fabs_olt_smallest_normal_ieee(float %x) "denormal-fp-math"="dynamic,ieee" {
; CHECK-LABEL: @is_fabs_olt_smallest_normal_ieee(
; CHECK-NEXT:    [[FABS_X:%.*]] = call float @llvm.fabs.f32(float [[X:%.*]])
; CHECK-NEXT:    [[IS_DENORM_OR_ZERO:%.*]] = fcmp olt float [[FABS_X]], 0x3810000000000000
; CHECK-NEXT:    ret i1 [[IS_DENORM_OR_ZERO]]
;
  %fabs.x = call float @llvm.fabs.f32(float %x)
  %is.denorm.or.zero = fcmp olt float %fabs.x, 0x3810000000000000
  ret i1 %is.denorm.or.zero
}

define i1 @is_fabs_olt_smallest_normal_preserve_sign(float %x) "denormal-fp-math"="dynamic,preserve-sign" {
; CHECK-LABEL: @is_fabs_olt_smallest_normal_preserve_sign(
; CHECK-NEXT:    [[FABS_X:%.*]] = call float @llvm.fabs.f32(float [[X:%.*]])
; CHECK-NEXT:    [[IS_DENORM_OR_ZERO:%.*]] = fcmp olt float [[FABS_X]], 0x3810000000000000
; CHECK-NEXT:    ret i1 [[IS_DENORM_OR_ZERO]]
;
  %fabs.x = call float @llvm.fabs.f32(float %x)
  %is.denorm.or.zero = fcmp olt float %fabs.x, 0x3810000000000000
  ret i1 %is.denorm.or.zero
}

define i1 @is_fabs_olt_smallest_normal_positive_zero(float %x) "denormal-fp-math"="dynamic,positive-zero" {
; CHECK-LABEL: @is_fabs_olt_smallest_normal_positive_zero(
; CHECK-NEXT:    [[FABS_X:%.*]] = call float @llvm.fabs.f32(float [[X:%.*]])
; CHECK-NEXT:    [[IS_DENORM_OR_ZERO:%.*]] = fcmp olt float [[FABS_X]], 0x3810000000000000
; CHECK-NEXT:    ret i1 [[IS_DENORM_OR_ZERO]]
;
  %fabs.x = call float @llvm.fabs.f32(float %x)
  %is.denorm.or.zero = fcmp olt float %fabs.x, 0x3810000000000000
  ret i1 %is.denorm.or.zero
}


declare <2 x double> @llvm.fabs.v2f64(<2 x double>)
declare <2 x float> @llvm.fabs.v2f32(<2 x float>)
declare <2 x float> @llvm.maxnum.v2f32(<2 x float>, <2 x float>)
declare <2 x float> @llvm.minnum.v2f32(<2 x float>, <2 x float>)
declare <3 x float> @llvm.fabs.v3f32(<3 x float>)
declare double @llvm.exp2.f64(double)
declare double @llvm.fabs.f64(double)
declare double @llvm.powi.f64.i32(double, i32)
declare float @llvm.exp.f32(float)
declare float @llvm.fabs.f32(float)
declare float @llvm.fma.f32(float, float, float)
declare float @llvm.maximum.f32(float, float)
declare float @llvm.maxnum.f32(float, float)
declare float @llvm.minnum.f32(float, float)
declare float @llvm.sqrt.f32(float)
declare double @llvm.sqrt.f64(double)
declare double @llvm.copysign.f64(double, double)
declare half @llvm.fabs.f16(half)
declare void @llvm.assume(i1 noundef)

attributes #0 = { "denormal-fp-math"="preserve-sign,preserve-sign" }