test/Transforms/InstSimplify/floating-point-arithmetic.ll

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

; fneg (fneg X) ==> X
define float @fneg_fneg_var(float %a) {
; CHECK-LABEL: @fneg_fneg_var(
; CHECK-NEXT:    ret float [[A:%.*]]
;
  %r  = fneg float %a
  %r1 = fneg float %r
  ret float %r1
}

; fneg (fsub -0.0, X) ==> X
define float @fsub_-0_x(float %a) {
; CHECK-LABEL: @fsub_-0_x(
; CHECK-NEXT:    ret float [[A:%.*]]
;
  %t1 = fsub float -0.0, %a
  %ret = fneg float %t1
  ret float %ret
}

define <2 x float> @fsub_-0_x_vec(<2 x float> %a) {
; CHECK-LABEL: @fsub_-0_x_vec(
; CHECK-NEXT:    ret <2 x float> [[A:%.*]]
;
  %t1 = fsub <2 x float> <float -0.0, float -0.0>, %a
  %ret = fneg <2 x float> %t1
  ret <2 x float> %ret
}

define <2 x float> @fsub_-0_x_vec_poison_elts(<2 x float> %a) {
; CHECK-LABEL: @fsub_-0_x_vec_poison_elts(
; CHECK-NEXT:    ret <2 x float> [[A:%.*]]
;
  %t1 = fsub <2 x float> <float -0.0, float poison>, %a
  %ret = fneg <2 x float> %t1
  ret <2 x float> %ret
}

define <2 x float> @fsub_negzero_vec_poison_elts(<2 x float> %x) {
; CHECK-LABEL: @fsub_negzero_vec_poison_elts(
; CHECK-NEXT:    ret <2 x float> [[X:%.*]]
;
  %r = fsub nsz <2 x float> %x, <float poison, float -0.0>
  ret <2 x float> %r
}

; fsub -0.0, (fsub -0.0, X) ==> X
define float @fsub_-0_-0_x(float %a) {
; CHECK-LABEL: @fsub_-0_-0_x(
; CHECK-NEXT:    ret float [[A:%.*]]
;
  %t1 = fsub float -0.0, %a
  %ret = fsub float -0.0, %t1
  ret float %ret
}

; fsub -0.0, (fneg X) ==> X
define float @fneg_x(float %a) {
; CHECK-LABEL: @fneg_x(
; CHECK-NEXT:    ret float [[A:%.*]]
;
  %t1 = fneg float %a
  %ret = fsub float -0.0, %t1
  ret float %ret
}

define <2 x float> @fsub_-0_-0_x_vec(<2 x float> %a) {
; CHECK-LABEL: @fsub_-0_-0_x_vec(
; CHECK-NEXT:    ret <2 x float> [[A:%.*]]
;
  %t1 = fsub <2 x float> <float -0.0, float -0.0>, %a
  %ret = fsub <2 x float> <float -0.0, float -0.0>, %t1
  ret <2 x float> %ret
}

define <2 x float> @fneg_x_vec(<2 x float> %a) {
; CHECK-LABEL: @fneg_x_vec(
; CHECK-NEXT:    ret <2 x float> [[A:%.*]]
;
  %t1 = fneg <2 x float> %a
  %ret = fsub <2 x float> <float -0.0, float -0.0>, %t1
  ret <2 x float> %ret
}

define <2 x float> @fsub_-0_-0_x_vec_poison_elts(<2 x float> %a) {
; CHECK-LABEL: @fsub_-0_-0_x_vec_poison_elts(
; CHECK-NEXT:    ret <2 x float> [[A:%.*]]
;
  %t1 = fsub <2 x float> <float poison, float -0.0>, %a
  %ret = fsub <2 x float> <float -0.0, float poison>, %t1
  ret <2 x float> %ret
}

define <2 x float> @fneg_x_vec_poison_elts(<2 x float> %a) {
; CHECK-LABEL: @fneg_x_vec_poison_elts(
; CHECK-NEXT:    ret <2 x float> [[A:%.*]]
;
  %t1 = fneg <2 x float> %a
  %ret = fsub <2 x float> <float -0.0, float poison>, %t1
  ret <2 x float> %ret
}

; fsub -0.0, (fsub 0.0, X) != X
define float @fsub_-0_0_x(float %a) {
; CHECK-LABEL: @fsub_-0_0_x(
; CHECK-NEXT:    [[T1:%.*]] = fsub float 0.000000e+00, [[A:%.*]]
; CHECK-NEXT:    [[RET:%.*]] = fsub float -0.000000e+00, [[T1]]
; CHECK-NEXT:    ret float [[RET]]
;
  %t1 = fsub float 0.0, %a
  %ret = fsub float -0.0, %t1
  ret float %ret
}

; fsub 0.0, (fsub -0.0, X) != X
define float @fsub_0_-0_x(float %a) {
; CHECK-LABEL: @fsub_0_-0_x(
; CHECK-NEXT:    [[T1:%.*]] = fsub float -0.000000e+00, [[A:%.*]]
; CHECK-NEXT:    [[RET:%.*]] = fsub float 0.000000e+00, [[T1]]
; CHECK-NEXT:    ret float [[RET]]
;
  %t1 = fsub float -0.0, %a
  %ret = fsub float 0.0, %t1
  ret float %ret
}

; fsub X, 0 ==> X
define float @fsub_x_0(float %x) {
; CHECK-LABEL: @fsub_x_0(
; CHECK-NEXT:    ret float [[X:%.*]]
;
  %r = fsub float %x, 0.0
  ret float %r
}

define <2 x float> @fsub_x_0_vec_poison(<2 x float> %x) {
; CHECK-LABEL: @fsub_x_0_vec_poison(
; CHECK-NEXT:    ret <2 x float> [[X:%.*]]
;
  %r = fsub <2 x float> %x, <float poison, float 0.0>
  ret <2 x float> %r
}

; fadd X, -0 ==> X
define float @fadd_x_n0(float %a) {
; CHECK-LABEL: @fadd_x_n0(
; CHECK-NEXT:    ret float [[A:%.*]]
;
  %ret = fadd float %a, -0.0
  ret float %ret
}

define <2 x float> @fadd_x_n0_vec_poison_elt(<2 x float> %a) {
; CHECK-LABEL: @fadd_x_n0_vec_poison_elt(
; CHECK-NEXT:    ret <2 x float> [[A:%.*]]
;
  %ret = fadd <2 x float> %a, <float -0.0, float poison>
  ret <2 x float> %ret
}

; fmul X, 1.0 ==> X
define double @fmul_X_1(double %a) {
; CHECK-LABEL: @fmul_X_1(
; CHECK-NEXT:    ret double [[A:%.*]]
;
  %b = fmul double 1.0, %a
  ret double %b
}

define half @fmul_nnan_ninf_nneg_0.0(i15 %x) {
; CHECK-LABEL: @fmul_nnan_ninf_nneg_0.0(
; CHECK-NEXT:    ret half 0xH0000
;
  %f = uitofp i15 %x to half
  %r = fmul half %f, 0.0
  ret half %r
}

define half @fmul_nnan_ninf_nneg_n0.0(i15 %x) {
; CHECK-LABEL: @fmul_nnan_ninf_nneg_n0.0(
; CHECK-NEXT:    ret half 0xH8000
;
  %f = uitofp i15 %x to half
  %r = fmul half %f, -0.0
  ret half %r
}

; negative test - the int could be big enough to round to INF

define half @fmul_nnan_nneg_0.0(i16 %x) {
; CHECK-LABEL: @fmul_nnan_nneg_0.0(
; CHECK-NEXT:    [[F:%.*]] = uitofp i16 [[X:%.*]] to half
; CHECK-NEXT:    [[R:%.*]] = fmul half [[F]], 0xH0000
; CHECK-NEXT:    ret half [[R]]
;
  %f = uitofp i16 %x to half
  %r = fmul half %f, 0.0
  ret half %r
}

define double @fmul_nnan_ninf_nneg_n0.0_commute(i127 %x) {
; CHECK-LABEL: @fmul_nnan_ninf_nneg_n0.0_commute(
; CHECK-NEXT:    ret double -0.000000e+00
;
  %f = uitofp i127 %x to float
  %e = fpext float %f to double
  %r = fmul double -0.0, %e
  ret double %r
}

define float @src_mul_nzero_neg(float nofpclass(inf nan pzero psub pnorm) %f) {
; CHECK-LABEL: @src_mul_nzero_neg(
; CHECK-NEXT:    ret float 0.000000e+00
;
  %r = fmul float %f, -0.0
  ret float %r
}

define <2 x float> @src_mul_zero_neg(<2 x float> nofpclass(inf nan pzero psub pnorm) %f) {
; CHECK-LABEL: @src_mul_zero_neg(
; CHECK-NEXT:    ret <2 x float> <float -0.000000e+00, float -0.000000e+00>
;
  %r = fmul <2 x float> <float 0.0, float 0.0>, %f
  ret <2 x float> %r
}

define <2 x float> @src_mul_zero_and_nzero_neg(<2 x float> nofpclass(inf nan pzero psub pnorm) %f) {
; CHECK-LABEL: @src_mul_zero_and_nzero_neg(
; CHECK-NEXT:    ret <2 x float> <float 0.000000e+00, float -0.000000e+00>
;
  %r = fmul <2 x float> <float -0.0, float 0.0>, %f
  ret <2 x float> %r
}


define float @src_muladd_zero_neg(float nofpclass(inf nan pzero psub pnorm) %f, float %add) {
; CHECK-LABEL: @src_muladd_zero_neg(
; CHECK-NEXT:    [[R:%.*]] = call float @llvm.fmuladd.f32(float [[F:%.*]], float 0.000000e+00, float [[ADD:%.*]])
; CHECK-NEXT:    ret float [[R]]
;
  %r = call float @llvm.fmuladd.f32(float %f, float 0.0, float %add)
  ret float %r
}

define float @src_fma_nzero_neg(float nofpclass(inf nan pzero psub pnorm) %f, float %add) {
; CHECK-LABEL: @src_fma_nzero_neg(
; CHECK-NEXT:    [[R:%.*]] = call float @llvm.fma.f32(float -0.000000e+00, float [[F:%.*]], float [[ADD:%.*]])
; CHECK-NEXT:    ret float [[R]]
;
  %r = call float @llvm.fma.f32(float -0.0, float %f, float %add)
  ret float %r
}


; Make sure we can infer %x can't be 0 based on assumes.
define { float, float } @test_fmul_0_assumed_finite(float %x) {
; CHECK-LABEL: @test_fmul_0_assumed_finite(
; CHECK-NEXT:    [[FABS_X:%.*]] = call float @llvm.fabs.f32(float [[X:%.*]])
; CHECK-NEXT:    [[IS_FINITE_X:%.*]] = fcmp one float [[FABS_X]], 0x7FF0000000000000
; CHECK-NEXT:    call void @llvm.assume(i1 [[IS_FINITE_X]])
; CHECK-NEXT:    ret { float, float } { float 0.000000e+00, float -0.000000e+00 }
;
  %fabs.x = call float @llvm.fabs.f32(float %x)
  %is.finite.x = fcmp one float %fabs.x, 0x7FF0000000000000
  call void @llvm.assume(i1 %is.finite.x)
  %mul.0 = fmul float %fabs.x, 0.0
  %mul.neg0 = fmul float %fabs.x, -0.0
  %ins.0 = insertvalue { float, float } poison, float %mul.0, 0
  %ins.1 = insertvalue { float, float } %ins.0, float %mul.neg0, 1
  ret { float, float } %ins.1
}

; negative test - the int could be big enough to round to INF

define double @fmul_nnan_ninf_nneg_0.0_commute(i128 %x) {
; CHECK-LABEL: @fmul_nnan_ninf_nneg_0.0_commute(
; CHECK-NEXT:    [[F:%.*]] = uitofp i128 [[X:%.*]] to float
; CHECK-NEXT:    [[E:%.*]] = fpext float [[F]] to double
; CHECK-NEXT:    [[R:%.*]] = fmul double 0.000000e+00, [[E]]
; CHECK-NEXT:    ret double [[R]]
;
  %f = uitofp i128 %x to float
  %e = fpext float %f to double
  %r = fmul double 0.0, %e
  ret double %r
}

; PR2642
define <4 x float> @fmul_X_1_vec(<4 x float> %x) {
; CHECK-LABEL: @fmul_X_1_vec(
; CHECK-NEXT:    ret <4 x float> [[X:%.*]]
;
  %m = fmul <4 x float> %x, <float 1.0, float 1.0, float 1.0, float 1.0>
  ret <4 x float> %m
}

; fdiv X, 1.0 ==> X
define float @fdiv_x_1(float %a) {
; CHECK-LABEL: @fdiv_x_1(
; CHECK-NEXT:    ret float [[A:%.*]]
;
  %ret = fdiv float %a, 1.0
  ret float %ret
}

; We can't optimize away the fadd in this test because the input
; value to the function and subsequently to the fadd may be -0.0.
; In that one special case, the result of the fadd should be +0.0
; rather than the first parameter of the fadd.

; Fragile test warning: We need 6 sqrt calls to trigger the bug
; because the internal logic has a magic recursion limit of 6.
; This is presented without any explanation or ability to customize.

declare float @sqrtf(float)

define float @PR22688(float %x) {
; CHECK-LABEL: @PR22688(
; CHECK-NEXT:    [[TMP1:%.*]] = call float @sqrtf(float [[X:%.*]])
; CHECK-NEXT:    [[TMP2:%.*]] = call float @sqrtf(float [[TMP1]])
; CHECK-NEXT:    [[TMP3:%.*]] = call float @sqrtf(float [[TMP2]])
; CHECK-NEXT:    [[TMP4:%.*]] = call float @sqrtf(float [[TMP3]])
; CHECK-NEXT:    [[TMP5:%.*]] = call float @sqrtf(float [[TMP4]])
; CHECK-NEXT:    [[TMP6:%.*]] = call float @sqrtf(float [[TMP5]])
; CHECK-NEXT:    [[TMP7:%.*]] = fadd float [[TMP6]], 0.000000e+00
; CHECK-NEXT:    ret float [[TMP7]]
;
  %1 = call float @sqrtf(float %x)
  %2 = call float @sqrtf(float %1)
  %3 = call float @sqrtf(float %2)
  %4 = call float @sqrtf(float %3)
  %5 = call float @sqrtf(float %4)
  %6 = call float @sqrtf(float %5)
  %7 = fadd float %6, 0.0
  ret float %7
}

declare float @llvm.fabs.f32(float)
declare double @llvm.fabs.f64(double)
declare float @llvm.canonicalize.f32(float)
declare float @llvm.floor.f32(float)
declare float @llvm.ceil.f32(float)
declare float @llvm.trunc.f32(float)
declare float @llvm.rint.f32(float)
declare float @llvm.nearbyint.f32(float)
declare float @llvm.round.f32(float)
declare float @llvm.roundeven.f32(float)
declare float @llvm.fptrunc.round.f32.f64(double, metadata)
declare float @llvm.arithmetic.fence.f32(float)
declare float @llvm.copysign.f32(float, float)
declare <2 x float> @llvm.fabs.v2f32(<2 x float>)
declare float @llvm.sqrt.f32(float)
declare float @llvm.maxnum.f32(float, float)
declare void @llvm.assume(i1 noundef)


define float @fabs_select_positive_constants(i32 %c) {
; CHECK-LABEL: @fabs_select_positive_constants(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], float 1.000000e+00, float 2.000000e+00
; CHECK-NEXT:    ret float [[SELECT]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, float 1.0, float 2.0
  %fabs = call float @llvm.fabs.f32(float %select)
  ret float %fabs
}

define <2 x float> @fabs_select_positive_constants_vector(i32 %c) {
; CHECK-LABEL: @fabs_select_positive_constants_vector(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float 1.000000e+00, float 1.000000e+00>, <2 x float> <float 2.000000e+00, float 2.000000e+00>
; CHECK-NEXT:    ret <2 x float> [[SELECT]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float 1.0, float 1.0>, <2 x float> <float 2.0, float 2.0>
  %fabs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %select)
  ret <2 x float> %fabs
}

define float @fabs_select_constant_variable(i32 %c, float %x) {
; CHECK-LABEL: @fabs_select_constant_variable(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], float 1.000000e+00, float [[X:%.*]]
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SELECT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, float 1.0, float %x
  %fabs = call float @llvm.fabs.f32(float %select)
  ret float %fabs
}

define <2 x float> @fabs_select_constant_variable_vector(i32 %c, <2 x float> %x) {
; CHECK-LABEL: @fabs_select_constant_variable_vector(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float 1.000000e+00, float 1.000000e+00>, <2 x float> [[X:%.*]]
; CHECK-NEXT:    [[FABS:%.*]] = call <2 x float> @llvm.fabs.v2f32(<2 x float> [[SELECT]])
; CHECK-NEXT:    ret <2 x float> [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float 1.0, float 1.0>, <2 x float> %x
  %fabs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %select)
  ret <2 x float> %fabs
}

define float @fabs_select_neg0_pos0(i32 %c) {
; CHECK-LABEL: @fabs_select_neg0_pos0(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], float -0.000000e+00, float 0.000000e+00
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SELECT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, float -0.0, float 0.0
  %fabs = call float @llvm.fabs.f32(float %select)
  ret float %fabs
}

define <2 x float> @fabs_select_neg0_pos0_vector(i32 %c) {
; CHECK-LABEL: @fabs_select_neg0_pos0_vector(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float -0.000000e+00, float -0.000000e+00>, <2 x float> zeroinitializer
; CHECK-NEXT:    [[FABS:%.*]] = call <2 x float> @llvm.fabs.v2f32(<2 x float> [[SELECT]])
; CHECK-NEXT:    ret <2 x float> [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float -0.0, float -0.0>, <2 x float> <float 0.0, float 0.0>
  %fabs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %select)
  ret <2 x float> %fabs
}

define float @fabs_select_neg0_neg1(i32 %c) {
; CHECK-LABEL: @fabs_select_neg0_neg1(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], float -0.000000e+00, float -1.000000e+00
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SELECT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, float -0.0, float -1.0
  %fabs = call float @llvm.fabs.f32(float %select)
  ret float %fabs
}

define <2 x float> @fabs_select_neg0_neg1_vector(i32 %c) {
; CHECK-LABEL: @fabs_select_neg0_neg1_vector(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float -0.000000e+00, float -0.000000e+00>, <2 x float> <float -1.000000e+00, float -1.000000e+00>
; CHECK-NEXT:    [[FABS:%.*]] = call <2 x float> @llvm.fabs.v2f32(<2 x float> [[SELECT]])
; CHECK-NEXT:    ret <2 x float> [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float -0.0, float -0.0>, <2 x float> <float -1.0, float -1.0>
  %fabs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %select)
  ret <2 x float> %fabs
}

define float @fabs_select_nan_nan(i32 %c) {
; CHECK-LABEL: @fabs_select_nan_nan(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], float 0x7FF8000000000000, float 0x7FF8000100000000
; CHECK-NEXT:    ret float [[SELECT]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, float 0x7FF8000000000000, float 0x7FF8000100000000
  %fabs = call float @llvm.fabs.f32(float %select)
  ret float %fabs
}

define <2 x float> @fabs_select_nan_nan_vector(i32 %c) {
; CHECK-LABEL: @fabs_select_nan_nan_vector(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float 0x7FF8000000000000, float 0x7FF8000000000000>, <2 x float> <float 0x7FF8000100000000, float 0x7FF8000100000000>
; CHECK-NEXT:    ret <2 x float> [[SELECT]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float 0x7FF8000000000000, float 0x7FF8000000000000>, <2 x float> <float 0x7FF8000100000000, float 0x7FF8000100000000>
  %fabs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %select)
  ret <2 x float> %fabs
}

define float @fabs_select_negnan_nan(i32 %c) {
; CHECK-LABEL: @fabs_select_negnan_nan(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], float 0xFFF8000000000000, float 0x7FF8000000000000
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SELECT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, float 0xFFF8000000000000, float 0x7FF8000000000000
  %fabs = call float @llvm.fabs.f32(float %select)
  ret float %fabs
}

define <2 x float> @fabs_select_negnan_nan_vector(i32 %c) {
; CHECK-LABEL: @fabs_select_negnan_nan_vector(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float 0xFFF8000000000000, float 0xFFF8000000000000>, <2 x float> <float 0x7FF8000000000000, float 0x7FF8000000000000>
; CHECK-NEXT:    [[FABS:%.*]] = call <2 x float> @llvm.fabs.v2f32(<2 x float> [[SELECT]])
; CHECK-NEXT:    ret <2 x float> [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float 0xFFF8000000000000, float 0xFFF8000000000000>, <2 x float> <float 0x7FF8000000000000, float 0x7FF8000000000000>
  %fabs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %select)
  ret <2 x float> %fabs
}

define float @fabs_select_negnan_negnan(i32 %c) {
; CHECK-LABEL: @fabs_select_negnan_negnan(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], float 0xFFF8000000000000, float 0x7FF8000100000000
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SELECT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, float 0xFFF8000000000000, float 0x7FF8000100000000
  %fabs = call float @llvm.fabs.f32(float %select)
  ret float %fabs
}

define <2 x float> @fabs_select_negnan_negnan_vector(i32 %c) {
; CHECK-LABEL: @fabs_select_negnan_negnan_vector(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float 0xFFF8000000000000, float 0xFFF8000000000000>, <2 x float> <float 0x7FF8000100000000, float 0x7FF8000100000000>
; CHECK-NEXT:    [[FABS:%.*]] = call <2 x float> @llvm.fabs.v2f32(<2 x float> [[SELECT]])
; CHECK-NEXT:    ret <2 x float> [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float 0xFFF8000000000000, float 0xFFF8000000000000>, <2 x float> <float 0x7FF8000100000000, float 0x7FF8000100000000>
  %fabs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %select)
  ret <2 x float> %fabs
}

define float @fabs_select_negnan_negzero(i32 %c) {
; CHECK-LABEL: @fabs_select_negnan_negzero(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], float 0xFFF8000000000000, float -0.000000e+00
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SELECT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, float 0xFFF8000000000000, float -0.0
  %fabs = call float @llvm.fabs.f32(float %select)
  ret float %fabs
}

define <2 x float> @fabs_select_negnan_negzero_vector(i32 %c) {
; CHECK-LABEL: @fabs_select_negnan_negzero_vector(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float 0xFFF8000000000000, float 0xFFF8000000000000>, <2 x float> <float -0.000000e+00, float -0.000000e+00>
; CHECK-NEXT:    [[FABS:%.*]] = call <2 x float> @llvm.fabs.v2f32(<2 x float> [[SELECT]])
; CHECK-NEXT:    ret <2 x float> [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float 0xFFF8000000000000, float 0xFFF8000000000000>, <2 x float> <float -0.0, float -0.0>
  %fabs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %select)
  ret <2 x float> %fabs
}

define float @fabs_select_negnan_zero(i32 %c) {
; CHECK-LABEL: @fabs_select_negnan_zero(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], float 0xFFF8000000000000, float 0.000000e+00
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SELECT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, float 0xFFF8000000000000, float 0.0
  %fabs = call float @llvm.fabs.f32(float %select)
  ret float %fabs
}

define <2 x float> @fabs_select_negnan_zero_vector(i32 %c) {
; CHECK-LABEL: @fabs_select_negnan_zero_vector(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float 0xFFF8000000000000, float 0xFFF8000000000000>, <2 x float> zeroinitializer
; CHECK-NEXT:    [[FABS:%.*]] = call <2 x float> @llvm.fabs.v2f32(<2 x float> [[SELECT]])
; CHECK-NEXT:    ret <2 x float> [[FABS]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float 0xFFF8000000000000, float 0xFFF8000000000000>, <2 x float> <float 0.0, float 0.0>
  %fabs = call <2 x float> @llvm.fabs.v2f32(<2 x float> %select)
  ret <2 x float> %fabs
}

; The fabs can't be eliminated because llvm.sqrt.f32 may return -0 or NaN with
; an arbitrary sign bit.
define float @fabs_sqrt(float %a) {
; CHECK-LABEL: @fabs_sqrt(
; CHECK-NEXT:    [[SQRT:%.*]] = call float @llvm.sqrt.f32(float [[A:%.*]])
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SQRT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %sqrt = call float @llvm.sqrt.f32(float %a)
  %fabs = call float @llvm.fabs.f32(float %sqrt)
  ret float %fabs
}

; The fabs can't be eliminated because the nnan sqrt may still return -0.
define float @fabs_sqrt_nnan(float %a) {
; CHECK-LABEL: @fabs_sqrt_nnan(
; CHECK-NEXT:    [[SQRT:%.*]] = call nnan float @llvm.sqrt.f32(float [[A:%.*]])
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SQRT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %sqrt = call nnan float @llvm.sqrt.f32(float %a)
  %fabs = call float @llvm.fabs.f32(float %sqrt)
  ret float %fabs
}

; The fabs can't be eliminated because the nsz sqrt may still return NaN.
define float @fabs_sqrt_nsz(float %a) {
; CHECK-LABEL: @fabs_sqrt_nsz(
; CHECK-NEXT:    [[SQRT:%.*]] = call nsz float @llvm.sqrt.f32(float [[A:%.*]])
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[SQRT]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %sqrt = call nsz float @llvm.sqrt.f32(float %a)
  %fabs = call float @llvm.fabs.f32(float %sqrt)
  ret float %fabs
}

; The fabs can be eliminated because we're nsz and nnan.
define float @fabs_sqrt_nnan_nsz(float %a) {
; CHECK-LABEL: @fabs_sqrt_nnan_nsz(
; CHECK-NEXT:    [[SQRT:%.*]] = call nnan nsz float @llvm.sqrt.f32(float [[A:%.*]])
; CHECK-NEXT:    ret float [[SQRT]]
;
  %sqrt = call nnan nsz float @llvm.sqrt.f32(float %a)
  %fabs = call float @llvm.fabs.f32(float %sqrt)
  ret float %fabs
}

; The second fabs can be eliminated because the operand to sqrt cannot be -0.
define float @fabs_sqrt_nnan_fabs(float %a) {
; CHECK-LABEL: @fabs_sqrt_nnan_fabs(
; CHECK-NEXT:    [[B:%.*]] = call float @llvm.fabs.f32(float [[A:%.*]])
; CHECK-NEXT:    [[SQRT:%.*]] = call nnan float @llvm.sqrt.f32(float [[B]])
; CHECK-NEXT:    ret float [[SQRT]]
;
  %b = call float @llvm.fabs.f32(float %a)
  %sqrt = call nnan float @llvm.sqrt.f32(float %b)
  %fabs = call float @llvm.fabs.f32(float %sqrt)
  ret float %fabs
}

define float @fabs_select_positive_constants_vector_extract(i32 %c) {
; CHECK-LABEL: @fabs_select_positive_constants_vector_extract(
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[C:%.*]], 0
; CHECK-NEXT:    [[SELECT:%.*]] = select i1 [[CMP]], <2 x float> <float 1.000000e+00, float 1.000000e+00>, <2 x float> <float 2.000000e+00, float 2.000000e+00>
; CHECK-NEXT:    [[EXTRACT:%.*]] = extractelement <2 x float> [[SELECT]], i32 0
; CHECK-NEXT:    ret float [[EXTRACT]]
;
  %cmp = icmp eq i32 %c, 0
  %select = select i1 %cmp, <2 x float> <float 1.0, float 1.0>, <2 x float> <float 2.0, float 2.0>
  %extract = extractelement <2 x float> %select, i32 0
  %fabs = call float @llvm.fabs.f32(float %extract)
  ret float %fabs
}

; Y - (Y - X) --> X

define float @fsub_fsub_common_op(float %x, float %y) {
; CHECK-LABEL: @fsub_fsub_common_op(
; CHECK-NEXT:    ret float [[X:%.*]]
;
  %s = fsub float %y, %x
  %r = fsub reassoc nsz float %y, %s
  ret float %r
}

define <2 x float> @fsub_fsub_common_op_vec(<2 x float> %x, <2 x float> %y) {
; CHECK-LABEL: @fsub_fsub_common_op_vec(
; CHECK-NEXT:    ret <2 x float> [[X:%.*]]
;
  %s = fsub <2 x float> %y, %x
  %r = fsub reassoc nsz <2 x float> %y, %s
  ret <2 x float> %r
}

; Negative test - fsub is not commutative.
; Y - (X - Y) --> (Y - X) + Y (canonicalized)

define float @fsub_fsub_wrong_common_op(float %x, float %y) {
; CHECK-LABEL: @fsub_fsub_wrong_common_op(
; CHECK-NEXT:    [[S:%.*]] = fsub float [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = fsub reassoc nsz float [[Y]], [[S]]
; CHECK-NEXT:    ret float [[R]]
;
  %s = fsub float %x, %y
  %r = fsub reassoc nsz float %y, %s
  ret float %r
}

; Negative test - negated operand needed.
; (Y - X) - Y --> -X

define float @fsub_fsub_common_op_wrong_commute(float %x, float %y) {
; CHECK-LABEL: @fsub_fsub_common_op_wrong_commute(
; CHECK-NEXT:    [[S:%.*]] = fsub float [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    [[R:%.*]] = fsub reassoc nsz float [[S]], [[Y]]
; CHECK-NEXT:    ret float [[R]]
;
  %s = fsub float %y, %x
  %r = fsub reassoc nsz float %s, %y
  ret float %r
}

; Negative test - fsub is not commutative.
; (X - Y) - Y --> ?

define float @fsub_fsub_wrong_common_op_wrong_commute(float %x, float %y) {
; CHECK-LABEL: @fsub_fsub_wrong_common_op_wrong_commute(
; CHECK-NEXT:    [[S:%.*]] = fsub float [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = fsub reassoc nsz float [[S]], [[Y]]
; CHECK-NEXT:    ret float [[R]]
;
  %s = fsub float %x, %y
  %r = fsub reassoc nsz float %s, %y
  ret float %r
}

; (Y + X) - Y --> X

define float @fadd_fsub_common_op(float %x, float %y) {
; CHECK-LABEL: @fadd_fsub_common_op(
; CHECK-NEXT:    ret float [[X:%.*]]
;
  %a = fadd float %y, %x
  %r = fsub reassoc nsz float %a, %y
  ret float %r
}

; (X + Y) - Y --> X

define <2 x float> @fadd_fsub_common_op_commute_vec(<2 x float> %x, <2 x float> %y) {
; CHECK-LABEL: @fadd_fsub_common_op_commute_vec(
; CHECK-NEXT:    ret <2 x float> [[X:%.*]]
;
  %a = fadd <2 x float> %x, %y
  %r = fsub reassoc nsz <2 x float> %a, %y
  ret <2 x float> %r
}

; Negative test - negated operand needed.
; Y - (Y + X) --> -X

define float @fadd_fsub_common_op_wrong_commute(float %x, float %y) {
; CHECK-LABEL: @fadd_fsub_common_op_wrong_commute(
; CHECK-NEXT:    [[A:%.*]] = fadd float [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    [[R:%.*]] = fsub reassoc nsz float [[Y]], [[A]]
; CHECK-NEXT:    ret float [[R]]
;
  %a = fadd float %y, %x
  %r = fsub reassoc nsz float %y, %a
  ret float %r
}

; Negative test - negated operand needed.
; Y - (X + Y) --> -X

define float @fadd_fsub_common_op_wrong_commute_commute(float %x, float %y) {
; CHECK-LABEL: @fadd_fsub_common_op_wrong_commute_commute(
; CHECK-NEXT:    [[A:%.*]] = fadd float [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = fsub reassoc nsz float [[Y]], [[A]]
; CHECK-NEXT:    ret float [[R]]
;
  %a = fadd float %x, %y
  %r = fsub reassoc nsz float %y, %a
  ret float %r
}

; Y + (X - Y) --> X

define <2 x float> @fsub_fadd_common_op_vec(<2 x float> %x, <2 x float> %y) {
; CHECK-LABEL: @fsub_fadd_common_op_vec(
; CHECK-NEXT:    ret <2 x float> [[X:%.*]]
;
  %s = fsub <2 x float> %x, %y
  %r = fadd reassoc nsz <2 x float> %y, %s
  ret <2 x float> %r
}

; (X - Y) + Y --> X

define float @fsub_fadd_common_op_commute(float %x, float %y) {
; CHECK-LABEL: @fsub_fadd_common_op_commute(
; CHECK-NEXT:    ret float [[X:%.*]]
;
  %s = fsub float %x, %y
  %r = fadd reassoc nsz float %s, %y
  ret float %r
}

; Negative test.
; Y + (Y - X) --> ?

define float @fsub_fadd_common_op_wrong_commute(float %x, float %y) {
; CHECK-LABEL: @fsub_fadd_common_op_wrong_commute(
; CHECK-NEXT:    [[S:%.*]] = fsub float [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    [[R:%.*]] = fadd reassoc nsz float [[Y]], [[S]]
; CHECK-NEXT:    ret float [[R]]
;
  %s = fsub float %y, %x
  %r = fadd reassoc nsz float %y, %s
  ret float %r
}

; Negative test.
; (Y - X) + Y --> ?

define float @fsub_fadd_common_op_wrong_commute_commute(float %x, float %y) {
; CHECK-LABEL: @fsub_fadd_common_op_wrong_commute_commute(
; CHECK-NEXT:    [[S:%.*]] = fsub float [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    [[R:%.*]] = fadd reassoc nsz float [[S]], [[Y]]
; CHECK-NEXT:    ret float [[R]]
;
  %s = fsub float %y, %x
  %r = fadd reassoc nsz float %s, %y
  ret float %r
}

; PR46627 - https://bugs.llvm.org/show_bug.cgi?id=46627

define float @maxnum_with_poszero_op(float %a) {
; CHECK-LABEL: @maxnum_with_poszero_op(
; CHECK-NEXT:    [[MAX:%.*]] = call float @llvm.maxnum.f32(float [[A:%.*]], float 0.000000e+00)
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[MAX]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %max = call float @llvm.maxnum.f32(float %a, float 0.0)
  %fabs = call float @llvm.fabs.f32(float %max)
  ret float %fabs
}

define float @maxnum_with_poszero_op_commute(float %a) {
; CHECK-LABEL: @maxnum_with_poszero_op_commute(
; CHECK-NEXT:    [[SQRT:%.*]] = call float @llvm.sqrt.f32(float [[A:%.*]])
; CHECK-NEXT:    [[MAX:%.*]] = call float @llvm.maxnum.f32(float 0.000000e+00, float [[SQRT]])
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[MAX]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %sqrt = call float @llvm.sqrt.f32(float %a)
  %max = call float @llvm.maxnum.f32(float 0.0, float %sqrt)
  %fabs = call float @llvm.fabs.f32(float %max)
  ret float %fabs
}

define float @maxnum_with_negzero_op(float %a) {
; CHECK-LABEL: @maxnum_with_negzero_op(
; CHECK-NEXT:    [[NNAN:%.*]] = call nnan float @llvm.sqrt.f32(float [[A:%.*]])
; CHECK-NEXT:    [[FABSA:%.*]] = call float @llvm.fabs.f32(float [[NNAN]])
; CHECK-NEXT:    [[MAX:%.*]] = call float @llvm.maxnum.f32(float -0.000000e+00, float [[FABSA]])
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[MAX]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %nnan = call nnan float @llvm.sqrt.f32(float %a)
  %fabsa = call float @llvm.fabs.f32(float %nnan)
  %max = call float @llvm.maxnum.f32(float -0.0, float %fabsa)
  %fabs = call float @llvm.fabs.f32(float %max)
  ret float %fabs
}

define float @maxnum_with_negzero_op_commute(float %a) {
; CHECK-LABEL: @maxnum_with_negzero_op_commute(
; CHECK-NEXT:    [[NNAN:%.*]] = call nnan float @llvm.sqrt.f32(float [[A:%.*]])
; CHECK-NEXT:    [[FABSA:%.*]] = call float @llvm.fabs.f32(float [[NNAN]])
; CHECK-NEXT:    [[MAX:%.*]] = call float @llvm.maxnum.f32(float [[FABSA]], float -0.000000e+00)
; CHECK-NEXT:    [[FABS:%.*]] = call float @llvm.fabs.f32(float [[MAX]])
; CHECK-NEXT:    ret float [[FABS]]
;
  %nnan = call nnan float @llvm.sqrt.f32(float %a)
  %fabsa = call float @llvm.fabs.f32(float %nnan)
  %max = call float @llvm.maxnum.f32(float %fabsa, float -0.0)
  %fabs = call float @llvm.fabs.f32(float %max)
  ret float %fabs
}

; If an operand is strictly greater than 0.0, we know the sign of the result of maxnum.

define float @maxnum_with_pos_one_op(float %a) {
; CHECK-LABEL: @maxnum_with_pos_one_op(
; CHECK-NEXT:    [[MAX:%.*]] = call float @llvm.maxnum.f32(float [[A:%.*]], float 1.000000e+00)
; CHECK-NEXT:    ret float [[MAX]]
;
  %max = call float @llvm.maxnum.f32(float %a, float 1.0)
  %fabs = call float @llvm.fabs.f32(float %max)
  ret float %fabs
}

define double @fadd_nnan_inf_op0(double %x) {
; CHECK-LABEL: @fadd_nnan_inf_op0(
; CHECK-NEXT:    ret double 0x7FF0000000000000
;
  %r = fadd nnan double 0x7ff0000000000000, %x
  ret double %r
}

define double @fadd_nnan_inf_op1(double %x) {
; CHECK-LABEL: @fadd_nnan_inf_op1(
; CHECK-NEXT:    ret double 0x7FF0000000000000
;
  %r = fadd nnan double %x, 0x7ff0000000000000
  ret double %r
}

define <2 x double> @fadd_nnan_neginf_op1(<2 x double> %x) {
; CHECK-LABEL: @fadd_nnan_neginf_op1(
; CHECK-NEXT:    ret <2 x double> <double 0xFFF0000000000000, double poison>
;
  %r = fadd nnan <2 x double> %x, <double 0xfff0000000000000, double poison>
  ret <2 x double> %r
}

define double @fadd_nnan_neginf_op0(double %x) {
; CHECK-LABEL: @fadd_nnan_neginf_op0(
; CHECK-NEXT:    ret double 0xFFF0000000000000
;
  %r = fadd nnan double 0xfff0000000000000, %x
  ret double %r
}

; negative test - requires nnan

define double @fadd_inf_op0(double %x) {
; CHECK-LABEL: @fadd_inf_op0(
; CHECK-NEXT:    [[R:%.*]] = fadd double 0x7FF0000000000000, [[X:%.*]]
; CHECK-NEXT:    ret double [[R]]
;
  %r = fadd double 0x7ff0000000000000, %x
  ret double %r
}

define double @fsub_nnan_inf_op0(double %x) {
; CHECK-LABEL: @fsub_nnan_inf_op0(
; CHECK-NEXT:    ret double 0x7FF0000000000000
;
  %r = fsub nnan double 0x7ff0000000000000, %x
  ret double %r
}

; flip sign

define double @fsub_nnan_inf_op1(double %x) {
; CHECK-LABEL: @fsub_nnan_inf_op1(
; CHECK-NEXT:    ret double 0xFFF0000000000000
;
  %r = fsub nnan double %x, 0x7ff0000000000000
  ret double %r
}

define <2 x double> @fsub_nnan_inf_op1_vec(<2 x double> %x) {
; CHECK-LABEL: @fsub_nnan_inf_op1_vec(
; CHECK-NEXT:    ret <2 x double> <double 0x7FF0000000000000, double poison>
;
  %r = fsub nnan <2 x double> %x, <double 0xfff0000000000000, double poison>
  ret <2 x double> %r
}

define <2 x double> @fsub_nnan_neginf_op0(<2 x double> %x) {
; CHECK-LABEL: @fsub_nnan_neginf_op0(
; CHECK-NEXT:    ret <2 x double> <double 0xFFF0000000000000, double poison>
;
  %r = fsub nnan <2 x double> <double 0xfff0000000000000, double poison>, %x
  ret <2 x double> %r
}

; flip sign

define double @fsub_nnan_neginf_op1(double %x) {
; CHECK-LABEL: @fsub_nnan_neginf_op1(
; CHECK-NEXT:    ret double 0x7FF0000000000000
;
  %r = fsub nnan double %x, 0xfff0000000000000
  ret double %r
}

; negative test - requires nnan

define double @fsub_inf_op0(double %x) {
; CHECK-LABEL: @fsub_inf_op0(
; CHECK-NEXT:    [[R:%.*]] = fsub double 0x7FF0000000000000, [[X:%.*]]
; CHECK-NEXT:    ret double [[R]]
;
  %r = fsub double 0x7ff0000000000000, %x
  ret double %r
}

define i1 @canonicalize_known_positive(float %a) {
; CHECK-LABEL: @canonicalize_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call float @llvm.fabs.f32(float %a)
  %known.positive = call float @llvm.canonicalize.f32(float %fabs)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @canonicalize_unknown_positive(float %unknown) {
; CHECK-LABEL: @canonicalize_unknown_positive(
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[UNKNOWN:%.*]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %cmp = fcmp nnan oge float %unknown, 0.0
  ret i1 %cmp
}

define i1 @arithmetic_fence_known_positive(float %a) {
; CHECK-LABEL: @arithmetic_fence_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call float @llvm.fabs.f32(float %a)
  %known.positive = call float @llvm.arithmetic.fence.f32(float %fabs)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @arithmetic_fence_unknown_positive(float %unknown) {
; CHECK-LABEL: @arithmetic_fence_unknown_positive(
; CHECK-NEXT:    [[KNOWN_POSITIVE:%.*]] = call float @llvm.arithmetic.fence.f32(float [[UNKNOWN:%.*]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[KNOWN_POSITIVE]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %known.positive = call float @llvm.arithmetic.fence.f32(float %unknown)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @copysign_known_positive_maybe_neg0(float %unknown, float %sign) {
; CHECK-LABEL: @copysign_known_positive_maybe_neg0(
; CHECK-NEXT:    [[SQRT:%.*]] = call nnan ninf float @llvm.sqrt.f32(float [[SIGN:%.*]])
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call float @llvm.copysign.f32(float [[UNKNOWN:%.*]], float [[SQRT]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[COPYSIGN]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %sqrt = call ninf nnan float @llvm.sqrt.f32(float %sign)
  %copysign = call float @llvm.copysign.f32(float %unknown, float %sqrt)
  %cmp = fcmp nnan oge float %copysign, 0.0
  ret i1 %cmp
}

define i1 @copysign_known_positive(float %unknown, float %sign) {
; CHECK-LABEL: @copysign_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %sqrt = call ninf nnan nsz float @llvm.sqrt.f32(float %sign)
  %copysign = call float @llvm.copysign.f32(float %unknown, float %sqrt)
  %cmp = fcmp nnan oge float %copysign, 0.0
  ret i1 %cmp
}

define i1 @copysign_unknown_positive(float %unknown, float %unknown.sign) {
; CHECK-LABEL: @copysign_unknown_positive(
; CHECK-NEXT:    [[COPYSIGN:%.*]] = call float @llvm.copysign.f32(float [[UNKNOWN:%.*]], float [[UNKNOWN_SIGN:%.*]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[COPYSIGN]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %copysign = call float @llvm.copysign.f32(float %unknown, float %unknown.sign)
  %cmp = fcmp nnan oge float %copysign, 0.0
  ret i1 %cmp
}

; https://alive2.llvm.org/ce/z/Y-EyY3
define i1 @floor_known_positive(float %a) {
; CHECK-LABEL: @floor_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call float @llvm.fabs.f32(float %a)
  %known.positive = call float @llvm.floor.f32(float %fabs)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @floor_unknown_positive(float %unknown) {
; CHECK-LABEL: @floor_unknown_positive(
; CHECK-NEXT:    [[OP:%.*]] = call float @llvm.floor.f32(float [[UNKNOWN:%.*]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[OP]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %op = call float @llvm.floor.f32(float %unknown)
  %cmp = fcmp nnan oge float %op, 0.0
  ret i1 %cmp
}

; https://alive2.llvm.org/ce/z/3tBUoW
define i1 @ceil_known_positive(float %a) {
; CHECK-LABEL: @ceil_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call float @llvm.fabs.f32(float %a)
  %known.positive = call float @llvm.ceil.f32(float %fabs)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @ceil_unknown_positive(float %unknown) {
; CHECK-LABEL: @ceil_unknown_positive(
; CHECK-NEXT:    [[OP:%.*]] = call float @llvm.ceil.f32(float [[UNKNOWN:%.*]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[OP]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;

  %op = call float @llvm.ceil.f32(float %unknown)
  %cmp = fcmp nnan oge float %op, 0.0
  ret i1 %cmp
}

; https://alive2.llvm.org/ce/z/RbyJPX
define i1 @trunc_known_positive(float %a) {
; CHECK-LABEL: @trunc_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call float @llvm.fabs.f32(float %a)
  %known.positive = call float @llvm.trunc.f32(float %fabs)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @trunc_unknown_positive(float %unknown) {
; CHECK-LABEL: @trunc_unknown_positive(
; CHECK-NEXT:    [[OP:%.*]] = call float @llvm.trunc.f32(float [[UNKNOWN:%.*]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[OP]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %op = call float @llvm.trunc.f32(float %unknown)
  %cmp = fcmp nnan oge float %op, 0.0
  ret i1 %cmp
}

; https://alive2.llvm.org/ce/z/bjC2Jm
define i1 @rint_known_positive(float %a) {
; CHECK-LABEL: @rint_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call float @llvm.fabs.f32(float %a)
  %known.positive = call float @llvm.rint.f32(float %fabs)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @rint_unknown_positive(float %unknown) {
; CHECK-LABEL: @rint_unknown_positive(
; CHECK-NEXT:    [[OP:%.*]] = call float @llvm.rint.f32(float [[UNKNOWN:%.*]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[OP]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %op = call float @llvm.rint.f32(float %unknown)
  %cmp = fcmp nnan oge float %op, 0.0
  ret i1 %cmp
}

; https://alive2.llvm.org/ce/z/dFiL9n
define i1 @nearbyint_known_positive(float %a) {
; CHECK-LABEL: @nearbyint_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call float @llvm.fabs.f32(float %a)
  %known.positive = call float @llvm.nearbyint.f32(float %fabs)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @nearbyint_unknown_positive(float %unknown) {
; CHECK-LABEL: @nearbyint_unknown_positive(
; CHECK-NEXT:    [[OP:%.*]] = call float @llvm.nearbyint.f32(float [[UNKNOWN:%.*]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[OP]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %op = call float @llvm.nearbyint.f32(float %unknown)
  %cmp = fcmp nnan oge float %op, 0.0
  ret i1 %cmp
}

; https://alive2.llvm.org/ce/z/kPhS-d
define i1 @round_known_positive(float %a) {
; CHECK-LABEL: @round_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call float @llvm.fabs.f32(float %a)
  %known.positive = call float @llvm.round.f32(float %fabs)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @round_unknown_positive(float %unknown) {
; CHECK-LABEL: @round_unknown_positive(
; CHECK-NEXT:    [[OP:%.*]] = call float @llvm.round.f32(float [[UNKNOWN:%.*]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[OP]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %op = call float @llvm.round.f32(float %unknown)
  %cmp = fcmp nnan oge float %op, 0.0
  ret i1 %cmp
}

; https://alive2.llvm.org/ce/z/Z_tfsu
define i1 @roundeven_known_positive(float %a) {
; CHECK-LABEL: @roundeven_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call float @llvm.fabs.f32(float %a)
  %known.positive = call float @llvm.roundeven.f32(float %fabs)
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @roundeven_unknown_positive(float %unknown) {
; CHECK-LABEL: @roundeven_unknown_positive(
; CHECK-NEXT:    [[OP:%.*]] = call float @llvm.roundeven.f32(float [[UNKNOWN:%.*]])
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[OP]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %op = call float @llvm.roundeven.f32(float %unknown)
  %cmp = fcmp nnan oge float %op, 0.0
  ret i1 %cmp
}

define i1 @fptrunc_round_known_positive(double %a) {
; CHECK-LABEL: @fptrunc_round_known_positive(
; CHECK-NEXT:    ret i1 true
;
  %fabs = call double @llvm.fabs.f64(double %a)
  %known.positive = call float @llvm.fptrunc.round.f32.f64(double %fabs, metadata !"round.downward")
  %cmp = fcmp nnan oge float %known.positive, 0.0
  ret i1 %cmp
}

define i1 @fptrunc_round_unknown_positive(double %unknown) {
; CHECK-LABEL: @fptrunc_round_unknown_positive(
; CHECK-NEXT:    [[OP:%.*]] = call float @llvm.fptrunc.round.f32.f64(double [[UNKNOWN:%.*]], metadata !"round.downward")
; CHECK-NEXT:    [[CMP:%.*]] = fcmp nnan oge float [[OP]], 0.000000e+00
; CHECK-NEXT:    ret i1 [[CMP]]
;
  %op = call float @llvm.fptrunc.round.f32.f64(double %unknown, metadata !"round.downward")
  %cmp = fcmp nnan oge float %op, 0.0
  ret i1 %cmp
}