llvm/test/Transforms/InstCombine/sub.ll

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

target datalayout = "e-p:64:64:64-p1:16:16:16-i1:8:8-i8:8:8-i16:16:16-i32:32:32-i64:64:64-f32:32:32-f64:64:64-v64:64:64-v128:128:128-a0:0:64-s0:64:64-f80:128:128"

define i32 @sub_constant(i32 %x) {
; CHECK-LABEL: @sub_constant(
; CHECK-NEXT:    [[R:%.*]] = add i32 [[X:%.*]], -42
; CHECK-NEXT:    ret i32 [[R]]
;
  %r = sub i32 %x, 42
  ret i32 %r
}

@g = global i32 0

define i32 @sub_constant_expression(i32 %x) {
; CHECK-LABEL: @sub_constant_expression(
; CHECK-NEXT:    [[R:%.*]] = sub i32 [[X:%.*]], ptrtoint (ptr @g to i32)
; CHECK-NEXT:    ret i32 [[R]]
;
  %r = sub i32 %x, ptrtoint (ptr @g to i32)
  ret i32 %r
}

define <2 x i32> @sub_constant_vec(<2 x i32> %x) {
; CHECK-LABEL: @sub_constant_vec(
; CHECK-NEXT:    [[R:%.*]] = add <2 x i32> [[X:%.*]], <i32 -42, i32 12>
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %r = sub <2 x i32> %x, <i32 42, i32 -12>
  ret <2 x i32> %r
}

define <3 x i33> @sub_constant_vec_weird_type(<3 x i33> %x) {
; CHECK-LABEL: @sub_constant_vec_weird_type(
; CHECK-NEXT:    [[R:%.*]] = add <3 x i33> [[X:%.*]], <i33 42, i33 -42, i33 12>
; CHECK-NEXT:    ret <3 x i33> [[R]]
;
  %r = sub <3 x i33> %x, <i33 -42, i33 42, i33 -12>
  ret <3 x i33> %r
}

define <4 x i32> @sub_constant_expression_vec(<4 x i32> %x) {
; CHECK-LABEL: @sub_constant_expression_vec(
; CHECK-NEXT:    [[R:%.*]] = sub <4 x i32> [[X:%.*]], bitcast (i128 ptrtoint (ptr @g to i128) to <4 x i32>)
; CHECK-NEXT:    ret <4 x i32> [[R]]
;
  %r = sub <4 x i32> %x, bitcast (i128 ptrtoint (ptr @g to i128) to <4 x i32>)
  ret <4 x i32> %r
}

define i32 @neg_sub(i32 %x, i32 %y) {
; CHECK-LABEL: @neg_sub(
; CHECK-NEXT:    [[R:%.*]] = add i32 [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %neg = sub i32 0, %x
  %r = sub i32 %y, %neg
  ret i32 %r
}

define i32 @neg_nsw_sub(i32 %x, i32 %y) {
; CHECK-LABEL: @neg_nsw_sub(
; CHECK-NEXT:    [[R:%.*]] = add i32 [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %neg = sub nsw i32 0, %x
  %r = sub i32 %y, %neg
  ret i32 %r
}

define i32 @neg_sub_nsw(i32 %x, i32 %y) {
; CHECK-LABEL: @neg_sub_nsw(
; CHECK-NEXT:    [[R:%.*]] = add i32 [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %neg = sub i32 0, %x
  %r = sub nsw i32 %y, %neg
  ret i32 %r
}

define i32 @neg_nsw_sub_nsw(i32 %x, i32 %y) {
; CHECK-LABEL: @neg_nsw_sub_nsw(
; CHECK-NEXT:    [[R:%.*]] = add nsw i32 [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %neg = sub nsw i32 0, %x
  %r = sub nsw i32 %y, %neg
  ret i32 %r
}

define <2 x i32> @neg_sub_vec(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @neg_sub_vec(
; CHECK-NEXT:    [[R:%.*]] = add <2 x i32> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %neg = sub <2 x i32> zeroinitializer, %x
  %r = sub <2 x i32> %y, %neg
  ret <2 x i32> %r
}

define <2 x i32> @neg_nsw_sub_vec(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @neg_nsw_sub_vec(
; CHECK-NEXT:    [[R:%.*]] = add <2 x i32> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %neg = sub nsw <2 x i32> zeroinitializer, %x
  %r = sub <2 x i32> %y, %neg
  ret <2 x i32> %r
}

define <2 x i32> @neg_sub_nsw_vec(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @neg_sub_nsw_vec(
; CHECK-NEXT:    [[R:%.*]] = add <2 x i32> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %neg = sub <2 x i32> zeroinitializer, %x
  %r = sub nsw <2 x i32> %y, %neg
  ret <2 x i32> %r
}

define <2 x i32> @neg_nsw_sub_nsw_vec(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @neg_nsw_sub_nsw_vec(
; CHECK-NEXT:    [[R:%.*]] = add nsw <2 x i32> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %neg = sub nsw <2 x i32> zeroinitializer, %x
  %r = sub nsw <2 x i32> %y, %neg
  ret <2 x i32> %r
}

define <2 x i32> @neg_sub_vec_poison(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @neg_sub_vec_poison(
; CHECK-NEXT:    [[R:%.*]] = add <2 x i32> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %neg = sub <2 x i32> <i32 0, i32 poison>, %x
  %r = sub <2 x i32> %y, %neg
  ret <2 x i32> %r
}

define <2 x i32> @neg_nsw_sub_vec_poison(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @neg_nsw_sub_vec_poison(
; CHECK-NEXT:    [[R:%.*]] = add <2 x i32> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %neg = sub nsw <2 x i32> <i32 poison, i32 0>, %x
  %r = sub <2 x i32> %y, %neg
  ret <2 x i32> %r
}

define <2 x i32> @neg_sub_nsw_vec_poison(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @neg_sub_nsw_vec_poison(
; CHECK-NEXT:    [[R:%.*]] = add <2 x i32> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %neg = sub <2 x i32> <i32 poison, i32 0>, %x
  %r = sub nsw <2 x i32> %y, %neg
  ret <2 x i32> %r
}

; This should not drop 'nsw'.

define <2 x i32> @neg_nsw_sub_nsw_vec_poison(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @neg_nsw_sub_nsw_vec_poison(
; CHECK-NEXT:    [[R:%.*]] = add nsw <2 x i32> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %neg = sub nsw <2 x i32> <i32 0, i32 poison>, %x
  %r = sub nsw <2 x i32> %y, %neg
  ret <2 x i32> %r
}

; (~X) - (~Y) --> Y - X
; Also, show that we can handle extra uses and vectors.

declare void @use8(i8)

define i8 @notnotsub(i8 %x, i8 %y) {
; CHECK-LABEL: @notnotsub(
; CHECK-NEXT:    [[NX:%.*]] = xor i8 [[X:%.*]], -1
; CHECK-NEXT:    [[NY:%.*]] = xor i8 [[Y:%.*]], -1
; CHECK-NEXT:    [[SUB:%.*]] = sub i8 [[Y]], [[X]]
; CHECK-NEXT:    call void @use8(i8 [[NX]])
; CHECK-NEXT:    call void @use8(i8 [[NY]])
; CHECK-NEXT:    ret i8 [[SUB]]
;
  %nx = xor i8 %x, -1
  %ny = xor i8 %y, -1
  %sub = sub i8 %nx, %ny
  call void @use8(i8 %nx)
  call void @use8(i8 %ny)
  ret i8 %sub
}

define <2 x i8> @notnotsub_vec(<2 x i8> %x, <2 x i8> %y) {
; CHECK-LABEL: @notnotsub_vec(
; CHECK-NEXT:    [[SUB:%.*]] = sub <2 x i8> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i8> [[SUB]]
;
  %nx = xor <2 x i8> %x, <i8 -1, i8 -1>
  %ny = xor <2 x i8> %y, <i8 -1, i8 -1>
  %sub = sub <2 x i8> %nx, %ny
  ret <2 x i8> %sub
}

define <2 x i8> @notnotsub_vec_poison_elts(<2 x i8> %x, <2 x i8> %y) {
; CHECK-LABEL: @notnotsub_vec_poison_elts(
; CHECK-NEXT:    [[SUB:%.*]] = sub <2 x i8> [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i8> [[SUB]]
;
  %nx = xor <2 x i8> %x, <i8 poison, i8 -1>
  %ny = xor <2 x i8> %y, <i8 -1, i8 poison>
  %sub = sub <2 x i8> %nx, %ny
  ret <2 x i8> %sub
}

define i32 @test5(i32 %A, i32 %B, i32 %C) {
; CHECK-LABEL: @test5(
; CHECK-NEXT:    [[D_NEG:%.*]] = sub i32 [[C:%.*]], [[B:%.*]]
; CHECK-NEXT:    [[E:%.*]] = add i32 [[D_NEG]], [[A:%.*]]
; CHECK-NEXT:    ret i32 [[E]]
;
  %D = sub i32 %B, %C
  %E = sub i32 %A, %D
  ret i32 %E
}

define i32 @test6(i32 %A, i32 %B) {
; CHECK-LABEL: @test6(
; CHECK-NEXT:    [[B_NOT:%.*]] = xor i32 [[B:%.*]], -1
; CHECK-NEXT:    [[D:%.*]] = and i32 [[A:%.*]], [[B_NOT]]
; CHECK-NEXT:    ret i32 [[D]]
;
  %C = and i32 %A, %B
  %D = sub i32 %A, %C
  ret i32 %D
}

define i32 @test6commuted(i32 %A, i32 %B) {
; CHECK-LABEL: @test6commuted(
; CHECK-NEXT:    [[B_NOT:%.*]] = xor i32 [[B:%.*]], -1
; CHECK-NEXT:    [[D:%.*]] = and i32 [[A:%.*]], [[B_NOT]]
; CHECK-NEXT:    ret i32 [[D]]
;
  %C = and i32 %B, %A
  %D = sub i32 %A, %C
  ret i32 %D
}

define i32 @test7(i32 %A) {
; CHECK-LABEL: @test7(
; CHECK-NEXT:    [[B:%.*]] = xor i32 [[A:%.*]], -1
; CHECK-NEXT:    ret i32 [[B]]
;
  %B = sub i32 -1, %A
  ret i32 %B
}

define i32 @test8(i32 %A) {
; CHECK-LABEL: @test8(
; CHECK-NEXT:    [[C:%.*]] = shl i32 [[A:%.*]], 3
; CHECK-NEXT:    ret i32 [[C]]
;
  %B = mul i32 9, %A
  %C = sub i32 %B, %A
  ret i32 %C
}

define i32 @test9(i32 %A) {
; CHECK-LABEL: @test9(
; CHECK-NEXT:    [[C:%.*]] = mul i32 [[A:%.*]], -2
; CHECK-NEXT:    ret i32 [[C]]
;
  %B = mul i32 3, %A
  %C = sub i32 %A, %B
  ret i32 %C
}

define i1 @test11(i8 %A, i8 %B) {
; CHECK-LABEL: @test11(
; CHECK-NEXT:    [[D:%.*]] = icmp ne i8 [[A:%.*]], [[B:%.*]]
; CHECK-NEXT:    ret i1 [[D]]
;
  %C = sub i8 %A, %B
  %D = icmp ne i8 %C, 0
  ret i1 %D
}

define <2 x i1> @test11vec(<2 x i8> %A, <2 x i8> %B) {
; CHECK-LABEL: @test11vec(
; CHECK-NEXT:    [[D:%.*]] = icmp ne <2 x i8> [[A:%.*]], [[B:%.*]]
; CHECK-NEXT:    ret <2 x i1> [[D]]
;
  %C = sub <2 x i8> %A, %B
  %D = icmp ne <2 x i8> %C, zeroinitializer
  ret <2 x i1> %D
}

define i32 @test12(i32 %A) {
; CHECK-LABEL: @test12(
; CHECK-NEXT:    [[B_NEG:%.*]] = lshr i32 [[A:%.*]], 31
; CHECK-NEXT:    ret i32 [[B_NEG]]
;
  %B = ashr i32 %A, 31
  %C = sub i32 0, %B
  ret i32 %C
}

define i32 @test13(i32 %A) {
; CHECK-LABEL: @test13(
; CHECK-NEXT:    [[B_NEG:%.*]] = ashr i32 [[A:%.*]], 31
; CHECK-NEXT:    ret i32 [[B_NEG]]
;
  %B = lshr i32 %A, 31
  %C = sub i32 0, %B
  ret i32 %C
}

define <2 x i32> @test12vec(<2 x i32> %A) {
; CHECK-LABEL: @test12vec(
; CHECK-NEXT:    [[B_NEG:%.*]] = lshr <2 x i32> [[A:%.*]], splat (i32 31)
; CHECK-NEXT:    ret <2 x i32> [[B_NEG]]
;
  %B = ashr <2 x i32> %A, <i32 31, i32 31>
  %C = sub <2 x i32> zeroinitializer, %B
  ret <2 x i32> %C
}

define <2 x i32> @test13vec(<2 x i32> %A) {
; CHECK-LABEL: @test13vec(
; CHECK-NEXT:    [[B_NEG:%.*]] = ashr <2 x i32> [[A:%.*]], splat (i32 31)
; CHECK-NEXT:    ret <2 x i32> [[B_NEG]]
;
  %B = lshr <2 x i32> %A, <i32 31, i32 31>
  %C = sub <2 x i32> zeroinitializer, %B
  ret <2 x i32> %C
}

define i32 @test15(i32 %A, i32 %B) {
; CHECK-LABEL: @test15(
; CHECK-NEXT:    [[C:%.*]] = sub i32 0, [[A:%.*]]
; CHECK-NEXT:    [[D:%.*]] = srem i32 [[B:%.*]], [[C]]
; CHECK-NEXT:    ret i32 [[D]]
;
  %C = sub i32 0, %A
  %D = srem i32 %B, %C
  ret i32 %D
}

define i32 @test16(i32 %A) {
; CHECK-LABEL: @test16(
; CHECK-NEXT:    [[X_NEG:%.*]] = sdiv i32 [[A:%.*]], -1123
; CHECK-NEXT:    ret i32 [[X_NEG]]
;
  %X = sdiv i32 %A, 1123
  %Y = sub i32 0, %X
  ret i32 %Y
}

; Can't fold subtract here because negation it might oveflow.
; PR3142
define i32 @test17(i32 %A) {
; CHECK-LABEL: @test17(
; CHECK-NEXT:    [[B:%.*]] = sub i32 0, [[A:%.*]]
; CHECK-NEXT:    [[C:%.*]] = sdiv i32 [[B]], 1234
; CHECK-NEXT:    ret i32 [[C]]
;
  %B = sub i32 0, %A
  %C = sdiv i32 %B, 1234
  ret i32 %C
}

define i64 @test18(i64 %Y) {
; CHECK-LABEL: @test18(
; CHECK-NEXT:    ret i64 0
;
  %i.4 = shl i64 %Y, 2
  %i.12 = shl i64 %Y, 2
  %i.8 = sub i64 %i.4, %i.12
  ret i64 %i.8
}

define i1 @test20(i32 %g, i32 %h) {
; CHECK-LABEL: @test20(
; CHECK-NEXT:    [[I_4:%.*]] = icmp ne i32 [[H:%.*]], 0
; CHECK-NEXT:    ret i1 [[I_4]]
;
  %i.2 = sub i32 %g, %h
  %i.4 = icmp ne i32 %i.2, %g
  ret i1 %i.4
}

define i1 @test21(i32 %g, i32 %h) {
; CHECK-LABEL: @test21(
; CHECK-NEXT:    [[I_4:%.*]] = icmp ne i32 [[H:%.*]], 0
; CHECK-NEXT:    ret i1 [[I_4]]
;
  %i.2 = sub i32 %g, %h
  %i.4 = icmp ne i32 %i.2, %g
  ret i1 %i.4
}

; PR2298
define zeroext i1 @test22(i32 %a, i32 %b)  nounwind  {
; CHECK-LABEL: @test22(
; CHECK-NEXT:    [[I5:%.*]] = icmp eq i32 [[B:%.*]], [[A:%.*]]
; CHECK-NEXT:    ret i1 [[I5]]
;
  %i2 = sub i32 0, %a
  %i4 = sub i32 0, %b
  %i5 = icmp eq i32 %i2, %i4
  ret i1 %i5
}

define i32 @test26(i32 %x) {
; CHECK-LABEL: @test26(
; CHECK-NEXT:    [[SHL_NEG:%.*]] = shl i32 -3, [[X:%.*]]
; CHECK-NEXT:    ret i32 [[SHL_NEG]]
;
  %shl = shl i32 3, %x
  %neg = sub i32 0, %shl
  ret i32 %neg
}

define i64 @test_neg_shl_sub(i64 %a, i64 %b) {
; CHECK-LABEL: @test_neg_shl_sub(
; CHECK-NEXT:    [[SUB_NEG:%.*]] = sub i64 [[B:%.*]], [[A:%.*]]
; CHECK-NEXT:    [[MUL_NEG:%.*]] = shl i64 [[SUB_NEG]], 2
; CHECK-NEXT:    ret i64 [[MUL_NEG]]
;
  %sub = sub i64 %a, %b
  %mul = shl i64 %sub, 2
  %neg = sub i64 0, %mul
  ret i64 %neg
}

define i64 @test_neg_shl_sub_extra_use1(i64 %a, i64 %b, ptr %p) {
; CHECK-LABEL: @test_neg_shl_sub_extra_use1(
; CHECK-NEXT:    [[SUB:%.*]] = sub i64 [[A:%.*]], [[B:%.*]]
; CHECK-NEXT:    store i64 [[SUB]], ptr [[P:%.*]], align 8
; CHECK-NEXT:    [[MUL_NEG:%.*]] = mul i64 [[SUB]], -4
; CHECK-NEXT:    ret i64 [[MUL_NEG]]
;
  %sub = sub i64 %a, %b
  store i64 %sub, ptr %p
  %mul = shl i64 %sub, 2
  %neg = sub i64 0, %mul
  ret i64 %neg
}

define i64 @test_neg_shl_sub_extra_use2(i64 %a, i64 %b, ptr %p) {
; CHECK-LABEL: @test_neg_shl_sub_extra_use2(
; CHECK-NEXT:    [[SUB:%.*]] = sub i64 [[A:%.*]], [[B:%.*]]
; CHECK-NEXT:    [[MUL:%.*]] = shl i64 [[SUB]], 2
; CHECK-NEXT:    store i64 [[MUL]], ptr [[P:%.*]], align 8
; CHECK-NEXT:    [[NEG:%.*]] = sub i64 0, [[MUL]]
; CHECK-NEXT:    ret i64 [[NEG]]
;
  %sub = sub i64 %a, %b
  %mul = shl i64 %sub, 2
  store i64 %mul, ptr %p
  %neg = sub i64 0, %mul
  ret i64 %neg
}

define i64 @test_neg_shl_div(i64 %a) {
; CHECK-LABEL: @test_neg_shl_div(
; CHECK-NEXT:    [[DIV_NEG:%.*]] = sdiv i64 [[A:%.*]], -3
; CHECK-NEXT:    [[SHL_NEG:%.*]] = shl i64 [[DIV_NEG]], 2
; CHECK-NEXT:    ret i64 [[SHL_NEG]]
;
  %div = sdiv i64 %a, 3
  %shl = shl i64 %div, 2
  %neg = sub i64 0, %shl
  ret i64 %neg
}

define i64 @test_neg_shl_zext_i1(i1 %a, i64 %b) {
; CHECK-LABEL: @test_neg_shl_zext_i1(
; CHECK-NEXT:    [[EXT_NEG:%.*]] = sext i1 [[A:%.*]] to i64
; CHECK-NEXT:    [[SHL_NEG:%.*]] = shl nsw i64 [[EXT_NEG]], [[B:%.*]]
; CHECK-NEXT:    ret i64 [[SHL_NEG]]
;
  %ext = zext i1 %a to i64
  %shl = shl i64 %ext, %b
  %neg = sub i64 0, %shl
  ret i64 %neg
}

define i64 @test_neg_shl_sext_i1(i1 %a, i64 %b) {
; CHECK-LABEL: @test_neg_shl_sext_i1(
; CHECK-NEXT:    [[EXT_NEG:%.*]] = zext i1 [[A:%.*]] to i64
; CHECK-NEXT:    [[SHL_NEG:%.*]] = shl nuw i64 [[EXT_NEG]], [[B:%.*]]
; CHECK-NEXT:    ret i64 [[SHL_NEG]]
;
  %ext = sext i1 %a to i64
  %shl = shl i64 %ext, %b
  %neg = sub i64 0, %shl
  ret i64 %neg
}

define i64 @test_neg_zext_i1_extra_use(i1 %a, i64 %b, ptr %p) {
; CHECK-LABEL: @test_neg_zext_i1_extra_use(
; CHECK-NEXT:    [[EXT_NEG:%.*]] = sext i1 [[A:%.*]] to i64
; CHECK-NEXT:    [[EXT:%.*]] = zext i1 [[A]] to i64
; CHECK-NEXT:    store i64 [[EXT]], ptr [[P:%.*]], align 8
; CHECK-NEXT:    ret i64 [[EXT_NEG]]
;
  %ext = zext i1 %a to i64
  %neg = sub i64 0, %ext
  store i64 %ext, ptr %p
  ret i64 %neg
}

define i64 @test_neg_sext_i1_extra_use(i1 %a, i64 %b, ptr %p) {
; CHECK-LABEL: @test_neg_sext_i1_extra_use(
; CHECK-NEXT:    [[EXT_NEG:%.*]] = zext i1 [[A:%.*]] to i64
; CHECK-NEXT:    [[EXT:%.*]] = sext i1 [[A]] to i64
; CHECK-NEXT:    store i64 [[EXT]], ptr [[P:%.*]], align 8
; CHECK-NEXT:    ret i64 [[EXT_NEG]]
;
  %ext = sext i1 %a to i64
  %neg = sub i64 0, %ext
  store i64 %ext, ptr %p
  ret i64 %neg
}

define i32 @test_neg_trunc_shl_sub(i64 %a, i64 %b) {
; CHECK-LABEL: @test_neg_trunc_shl_sub(
; CHECK-NEXT:    [[SUB_NEG:%.*]] = sub i64 [[B:%.*]], [[A:%.*]]
; CHECK-NEXT:    [[SUB_TR_NEG:%.*]] = trunc i64 [[SUB_NEG]] to i32
; CHECK-NEXT:    [[TRUNC_NEG:%.*]] = shl i32 [[SUB_TR_NEG]], 2
; CHECK-NEXT:    ret i32 [[TRUNC_NEG]]
;
  %sub = sub i64 %a, %b
  %shl = shl i64 %sub, 2
  %trunc = trunc i64 %shl to i32
  %neg = sub i32 0, %trunc
  ret i32 %neg
}

define i32 @test_neg_trunc_shl_ashr(i64 %a, i64 %b) {
; CHECK-LABEL: @test_neg_trunc_shl_ashr(
; CHECK-NEXT:    [[SHR_NEG:%.*]] = lshr i64 [[A:%.*]], 63
; CHECK-NEXT:    [[SHL_NEG:%.*]] = shl nuw i64 [[SHR_NEG]], [[B:%.*]]
; CHECK-NEXT:    [[TRUNC_NEG:%.*]] = trunc i64 [[SHL_NEG]] to i32
; CHECK-NEXT:    ret i32 [[TRUNC_NEG]]
;
  %shr = ashr i64 %a, 63
  %shl = shl i64 %shr, %b
  %trunc = trunc i64 %shl to i32
  %neg = sub i32 0, %trunc
  ret i32 %neg
}

define i32 @test_neg_trunc_shl_lshr(i64 %a, i64 %b) {
; CHECK-LABEL: @test_neg_trunc_shl_lshr(
; CHECK-NEXT:    [[SHR_NEG:%.*]] = ashr i64 [[A:%.*]], 63
; CHECK-NEXT:    [[SHL_NEG:%.*]] = shl nsw i64 [[SHR_NEG]], [[B:%.*]]
; CHECK-NEXT:    [[TRUNC_NEG:%.*]] = trunc i64 [[SHL_NEG]] to i32
; CHECK-NEXT:    ret i32 [[TRUNC_NEG]]
;
  %shr = lshr i64 %a, 63
  %shl = shl i64 %shr, %b
  %trunc = trunc i64 %shl to i32
  %neg = sub i32 0, %trunc
  ret i32 %neg
}

define i64 @test_neg_mul_sub(i64 %a, i64 %b, i64 %c) {
; CHECK-LABEL: @test_neg_mul_sub(
; CHECK-NEXT:    [[SUB_NEG:%.*]] = sub i64 [[B:%.*]], [[A:%.*]]
; CHECK-NEXT:    [[MUL_NEG:%.*]] = mul i64 [[SUB_NEG]], [[C:%.*]]
; CHECK-NEXT:    ret i64 [[MUL_NEG]]
;
  %sub = sub i64 %a, %b
  %mul = mul i64 %sub, %c
  %neg = sub i64 0, %mul
  ret i64 %neg
}

define i64 @test_neg_mul_sub_commuted(i64 %a, i64 %b, i64 %c) {
; CHECK-LABEL: @test_neg_mul_sub_commuted(
; CHECK-NEXT:    [[COMPLEX:%.*]] = mul i64 [[C:%.*]], [[C]]
; CHECK-NEXT:    [[SUB_NEG:%.*]] = sub i64 [[B:%.*]], [[A:%.*]]
; CHECK-NEXT:    [[MUL_NEG:%.*]] = mul i64 [[SUB_NEG]], [[COMPLEX]]
; CHECK-NEXT:    ret i64 [[MUL_NEG]]
;
  %complex = mul i64 %c, %c
  %sub = sub i64 %a, %b
  %mul = mul i64 %complex, %sub
  %neg = sub i64 0, %mul
  ret i64 %neg
}

define i32 @test27(i32 %x, i32 %y) {
; CHECK-LABEL: @test27(
; CHECK-NEXT:    [[MUL_NEG:%.*]] = shl i32 [[Y:%.*]], 3
; CHECK-NEXT:    [[SUB:%.*]] = add i32 [[MUL_NEG]], [[X:%.*]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %mul = mul i32 %y, -8
  %sub = sub i32 %x, %mul
  ret i32 %sub
}

define <2 x i32> @test27vec(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @test27vec(
; CHECK-NEXT:    [[MUL_NEG:%.*]] = mul <2 x i32> [[Y:%.*]], <i32 8, i32 6>
; CHECK-NEXT:    [[SUB:%.*]] = add <2 x i32> [[MUL_NEG]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[SUB]]
;
  %mul = mul <2 x i32> %y, <i32 -8, i32 -6>
  %sub = sub <2 x i32> %x, %mul
  ret <2 x i32> %sub
}

define <2 x i32> @test27vecsplat(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @test27vecsplat(
; CHECK-NEXT:    [[MUL_NEG:%.*]] = shl <2 x i32> [[Y:%.*]], splat (i32 3)
; CHECK-NEXT:    [[SUB:%.*]] = add <2 x i32> [[MUL_NEG]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[SUB]]
;
  %mul = mul <2 x i32> %y, <i32 -8, i32 -8>
  %sub = sub <2 x i32> %x, %mul
  ret <2 x i32> %sub
}

define <2 x i32> @test27vecmixed(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @test27vecmixed(
; CHECK-NEXT:    [[MUL_NEG:%.*]] = mul <2 x i32> [[Y:%.*]], <i32 8, i32 -8>
; CHECK-NEXT:    [[SUB:%.*]] = add <2 x i32> [[MUL_NEG]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[SUB]]
;
  %mul = mul <2 x i32> %y, <i32 -8, i32 8>
  %sub = sub <2 x i32> %x, %mul
  ret <2 x i32> %sub
}

define i32 @test27commuted(i32 %x, i32 %y) {
; CHECK-LABEL: @test27commuted(
; CHECK-NEXT:    [[MUL_NEG:%.*]] = shl i32 [[Y:%.*]], 3
; CHECK-NEXT:    [[SUB:%.*]] = add i32 [[MUL_NEG]], [[X:%.*]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %mul = mul i32 -8, %y
  %sub = sub i32 %x, %mul
  ret i32 %sub
}

define <2 x i32> @test27commutedvec(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @test27commutedvec(
; CHECK-NEXT:    [[MUL_NEG:%.*]] = mul <2 x i32> [[Y:%.*]], <i32 8, i32 6>
; CHECK-NEXT:    [[SUB:%.*]] = add <2 x i32> [[MUL_NEG]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[SUB]]
;
  %mul = mul <2 x i32> <i32 -8, i32 -6>, %y
  %sub = sub <2 x i32> %x, %mul
  ret <2 x i32> %sub
}

define <2 x i32> @test27commutedvecsplat(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @test27commutedvecsplat(
; CHECK-NEXT:    [[MUL_NEG:%.*]] = shl <2 x i32> [[Y:%.*]], splat (i32 3)
; CHECK-NEXT:    [[SUB:%.*]] = add <2 x i32> [[MUL_NEG]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[SUB]]
;
  %mul = mul <2 x i32> <i32 -8, i32 -8>, %y
  %sub = sub <2 x i32> %x, %mul
  ret <2 x i32> %sub
}

define <2 x i32> @test27commutedvecmixed(<2 x i32> %x, <2 x i32> %y) {
; CHECK-LABEL: @test27commutedvecmixed(
; CHECK-NEXT:    [[MUL_NEG:%.*]] = mul <2 x i32> [[Y:%.*]], <i32 8, i32 -8>
; CHECK-NEXT:    [[SUB:%.*]] = add <2 x i32> [[MUL_NEG]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[SUB]]
;
  %mul = mul <2 x i32> <i32 -8, i32 8>, %y
  %sub = sub <2 x i32> %x, %mul
  ret <2 x i32> %sub
}

define i32 @test28(i32 %x, i32 %y, i32 %z) {
; CHECK-LABEL: @test28(
; CHECK-NEXT:    [[TMP1:%.*]] = mul i32 [[Z:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = add i32 [[X:%.*]], [[TMP1]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %neg = sub i32 0, %z
  %mul = mul i32 %neg, %y
  %sub = sub i32 %x, %mul
  ret i32 %sub
}

define i32 @test28commuted(i32 %x, i32 %y, i32 %z) {
; CHECK-LABEL: @test28commuted(
; CHECK-NEXT:    [[TMP1:%.*]] = mul i32 [[Z:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = add i32 [[X:%.*]], [[TMP1]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %neg = sub i32 0, %z
  %mul = mul i32 %y, %neg
  %sub = sub i32 %x, %mul
  ret i32 %sub
}

define <2 x i64> @test31(<2 x i64> %A) {
; CHECK-LABEL: @test31(
; CHECK-NEXT:    [[SUB:%.*]] = add <2 x i64> [[A:%.*]], <i64 3, i64 4>
; CHECK-NEXT:    ret <2 x i64> [[SUB]]
;
  %xor = xor <2 x i64> %A, <i64 -1, i64 -1>
  %sub = sub <2 x i64> <i64 2, i64 3>, %xor
  ret <2 x i64> %sub
}

define <2 x i64> @test32(<2 x i64> %A) {
; CHECK-LABEL: @test32(
; CHECK-NEXT:    [[SUB:%.*]] = sub <2 x i64> <i64 3, i64 4>, [[A:%.*]]
; CHECK-NEXT:    ret <2 x i64> [[SUB]]
;
  %add = add <2 x i64> %A, <i64 -1, i64 -1>
  %sub = sub <2 x i64> <i64 2, i64 3>, %add
  ret <2 x i64> %sub
}

define <2 x i64> @test35(<2 x i64> %A) {
; CHECK-LABEL: @test35(
; CHECK-NEXT:    [[SUB:%.*]] = mul <2 x i64> [[A:%.*]], <i64 -2, i64 -3>
; CHECK-NEXT:    ret <2 x i64> [[SUB]]
;
  %mul = mul <2 x i64> %A, <i64 3, i64 4>
  %sub = sub <2 x i64> %A, %mul
  ret <2 x i64> %sub
}

define <2 x i64> @test36(<2 x i64> %A) {
; CHECK-LABEL: @test36(
; CHECK-NEXT:    [[SUB:%.*]] = mul <2 x i64> [[A:%.*]], <i64 7, i64 15>
; CHECK-NEXT:    ret <2 x i64> [[SUB]]
;
  %shl = shl <2 x i64> %A, <i64 3, i64 4>
  %sub = sub <2 x i64> %shl, %A
  ret <2 x i64> %sub
}

define <2 x i32> @test37(<2 x i32> %A) {
; CHECK-LABEL: @test37(
; CHECK-NEXT:    [[TMP1:%.*]] = icmp eq <2 x i32> [[A:%.*]], splat (i32 -2147483648)
; CHECK-NEXT:    [[DIV_NEG:%.*]] = sext <2 x i1> [[TMP1]] to <2 x i32>
; CHECK-NEXT:    ret <2 x i32> [[DIV_NEG]]
;
  %div = sdiv <2 x i32> %A, <i32 -2147483648, i32 -2147483648>
  %sub = sub nsw <2 x i32> zeroinitializer, %div
  ret <2 x i32> %sub
}

define i32 @test38(i32 %A) {
; CHECK-LABEL: @test38(
; CHECK-NEXT:    [[TMP1:%.*]] = icmp eq i32 [[A:%.*]], -2147483648
; CHECK-NEXT:    [[DIV_NEG:%.*]] = sext i1 [[TMP1]] to i32
; CHECK-NEXT:    ret i32 [[DIV_NEG]]
;
  %div = sdiv i32 %A, -2147483648
  %sub = sub nsw i32 0, %div
  ret i32 %sub
}

define i16 @test40(i16 %a, i16 %b) {
; CHECK-LABEL: @test40(
; CHECK-NEXT:    [[ASHR:%.*]] = ashr i16 [[A:%.*]], 1
; CHECK-NEXT:    [[ASHR1:%.*]] = ashr i16 [[B:%.*]], 1
; CHECK-NEXT:    [[SUB:%.*]] = sub nsw i16 [[ASHR]], [[ASHR1]]
; CHECK-NEXT:    ret i16 [[SUB]]
;
  %ashr = ashr i16 %a, 1
  %ashr1 = ashr i16 %b, 1
  %sub = sub i16 %ashr, %ashr1
  ret i16 %sub
}

define i32 @test41(i16 %a, i16 %b) {
; CHECK-LABEL: @test41(
; CHECK-NEXT:    [[CONV:%.*]] = sext i16 [[A:%.*]] to i32
; CHECK-NEXT:    [[CONV1:%.*]] = sext i16 [[B:%.*]] to i32
; CHECK-NEXT:    [[SUB:%.*]] = sub nsw i32 [[CONV]], [[CONV1]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %conv = sext i16 %a to i32
  %conv1 = sext i16 %b to i32
  %sub = sub i32 %conv, %conv1
  ret i32 %sub
}

define i4 @test42(i4 %x, i4 %y) {
; CHECK-LABEL: @test42(
; CHECK-NEXT:    [[A:%.*]] = and i4 [[Y:%.*]], 7
; CHECK-NEXT:    [[B:%.*]] = and i4 [[X:%.*]], 7
; CHECK-NEXT:    [[C:%.*]] = sub nsw i4 [[A]], [[B]]
; CHECK-NEXT:    ret i4 [[C]]
;
  %a = and i4 %y, 7
  %b = and i4 %x, 7
  %c = sub i4 %a, %b
  ret i4 %c
}

define i4 @test43(i4 %x, i4 %y) {
; CHECK-LABEL: @test43(
; CHECK-NEXT:    [[A:%.*]] = or i4 [[X:%.*]], -8
; CHECK-NEXT:    [[B:%.*]] = and i4 [[Y:%.*]], 7
; CHECK-NEXT:    [[C:%.*]] = sub nuw i4 [[A]], [[B]]
; CHECK-NEXT:    ret i4 [[C]]
;
  %a = or i4 %x, -8
  %b = and i4 %y, 7
  %c = sub i4 %a, %b
  ret i4 %c
}

define i32 @test44(i32 %x) {
; CHECK-LABEL: @test44(
; CHECK-NEXT:    [[SUB:%.*]] = add nsw i32 [[X:%.*]], -32768
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %sub = sub nsw i32 %x, 32768
  ret i32 %sub
}

define <2 x i32> @test44vec(<2 x i32> %x) {
; CHECK-LABEL: @test44vec(
; CHECK-NEXT:    [[SUB:%.*]] = add nsw <2 x i32> [[X:%.*]], splat (i32 -32768)
; CHECK-NEXT:    ret <2 x i32> [[SUB]]
;
  %sub = sub nsw <2 x i32> %x, <i32 32768, i32 32768>
  ret <2 x i32> %sub
}

define <vscale x 2 x i32> @test44scalablevec(<vscale x 2 x i32> %x) {
; CHECK-LABEL: @test44scalablevec(
; CHECK-NEXT:    [[SUB:%.*]] = add nsw <vscale x 2 x i32> [[X:%.*]], splat (i32 -32768)
; CHECK-NEXT:    ret <vscale x 2 x i32> [[SUB]]
;
  %sub = sub nsw <vscale x 2 x i32> %x, splat (i32 32768)
  ret <vscale x 2 x i32> %sub
}

define <2 x i16> @test44vecminval(<2 x i16> %x) {
; CHECK-LABEL: @test44vecminval(
; CHECK-NEXT:    [[SUB:%.*]] = xor <2 x i16> [[X:%.*]], splat (i16 -32768)
; CHECK-NEXT:    ret <2 x i16> [[SUB]]
;
  %sub = sub nsw <2 x i16> %x, <i16 -32768, i16 -32768>
  ret <2 x i16> %sub
}

define <vscale x 2 x i16> @test44scalablevecminval(<vscale x 2 x i16> %x) {
; CHECK-LABEL: @test44scalablevecminval(
; CHECK-NEXT:    [[SUB:%.*]] = xor <vscale x 2 x i16> [[X:%.*]], splat (i16 -32768)
; CHECK-NEXT:    ret <vscale x 2 x i16> [[SUB]]
;
  %sub = sub nsw <vscale x 2 x i16> %x, splat (i16 -32768)
  ret <vscale x 2 x i16> %sub
}

define i32 @test45(i32 %x, i32 %y) {
; CHECK-LABEL: @test45(
; CHECK-NEXT:    [[SUB:%.*]] = and i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %or = or i32 %x, %y
  %xor = xor i32 %x, %y
  %sub = sub i32 %or, %xor
  ret i32 %sub
}

define i32 @test45commuted(i32 %x, i32 %y) {
; CHECK-LABEL: @test45commuted(
; CHECK-NEXT:    [[SUB:%.*]] = and i32 [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %or = or i32 %x, %y
  %xor = xor i32 %y, %x
  %sub = sub i32 %or, %xor
  ret i32 %sub
}

define i32 @test46(i32 %x, i32 %y) {
; CHECK-LABEL: @test46(
; CHECK-NEXT:    [[X_NOT:%.*]] = xor i32 [[X:%.*]], -1
; CHECK-NEXT:    [[SUB:%.*]] = and i32 [[Y:%.*]], [[X_NOT]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %or = or i32 %x, %y
  %sub = sub i32 %or, %x
  ret i32 %sub
}

define i32 @test46commuted(i32 %x, i32 %y) {
; CHECK-LABEL: @test46commuted(
; CHECK-NEXT:    [[X_NOT:%.*]] = xor i32 [[X:%.*]], -1
; CHECK-NEXT:    [[SUB:%.*]] = and i32 [[Y:%.*]], [[X_NOT]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %or = or i32 %y, %x
  %sub = sub i32 %or, %x
  ret i32 %sub
}

define i32 @test47(i1 %A, i32 %B, i32 %C, i32 %D) {
; CHECK-LABEL: @test47(
; CHECK-NEXT:    [[TMP1:%.*]] = sub i32 [[D:%.*]], [[C:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = select i1 [[A:%.*]], i32 [[TMP1]], i32 0
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %sel0 = select i1 %A, i32 %D, i32 %B
  %sel1 = select i1 %A, i32 %C, i32 %B
  %sub = sub i32 %sel0, %sel1
  ret i32 %sub
}

define i32 @test48(i1 %A, i32 %B, i32 %C, i32 %D) {
; CHECK-LABEL: @test48(
; CHECK-NEXT:    [[TMP1:%.*]] = sub i32 [[D:%.*]], [[C:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = select i1 [[A:%.*]], i32 0, i32 [[TMP1]]
; CHECK-NEXT:    ret i32 [[SUB]]
;
  %sel0 = select i1 %A, i32 %B, i32 %D
  %sel1 = select i1 %A, i32 %B, i32 %C
  %sub = sub i32 %sel0, %sel1
  ret i32 %sub
}

define i32 @test49(i32 %X) {
; CHECK-LABEL: @test49(
; CHECK-NEXT:    [[SUB:%.*]] = sub i32 1, [[X:%.*]]
; CHECK-NEXT:    [[RES:%.*]] = and i32 [[SUB]], 64
; CHECK-NEXT:    ret i32 [[RES]]
;
  %sub = sub i32 129, %X
  %res = and i32 %sub, 64
  ret i32 %res
}

define i32 @test50(i32 %X) {
; CHECK-LABEL: @test50(
; CHECK-NEXT:    [[SUB:%.*]] = sub i32 1, [[X:%.*]]
; CHECK-NEXT:    [[RES:%.*]] = and i32 [[SUB]], 127
; CHECK-NEXT:    ret i32 [[RES]]
;
  %sub = sub i32 129, %X
  %res = and i32 %sub, 127
  ret i32 %res
}

define i32 @test51(i32 %X) {
; CHECK-LABEL: @test51(
; CHECK-NEXT:    [[SUB:%.*]] = sub i32 126, [[X:%.*]]
; CHECK-NEXT:    [[RES:%.*]] = and i32 [[SUB]], 64
; CHECK-NEXT:    ret i32 [[RES]]
;
  %sub = sub i32 254, %X
  %res = and i32 %sub, 64
  ret i32 %res
}

define i32 @test52(i32 %X) {
; CHECK-LABEL: @test52(
; CHECK-NEXT:    [[SUB:%.*]] = sub i32 126, [[X:%.*]]
; CHECK-NEXT:    [[RES:%.*]] = and i32 [[SUB]], 127
; CHECK-NEXT:    ret i32 [[RES]]
;
  %sub = sub i32 254, %X
  %res = and i32 %sub, 127
  ret i32 %res
}

define <2 x i1> @test53(<2 x i1> %A, <2 x i1> %B) {
; CHECK-LABEL: @test53(
; CHECK-NEXT:    [[SUB:%.*]] = xor <2 x i1> [[B:%.*]], [[A:%.*]]
; CHECK-NEXT:    ret <2 x i1> [[SUB]]
;
  %sub = sub <2 x i1> %A, %B
  ret <2 x i1> %sub
}

define i32 @test54(i1 %C) {
; CHECK-LABEL: @test54(
; CHECK-NEXT:    [[V:%.*]] = select i1 [[C:%.*]], i32 -877, i32 113
; CHECK-NEXT:    ret i32 [[V]]
;
  %A = select i1 %C, i32 1000, i32 10
  %V = sub i32 123, %A
  ret i32 %V
}

define <2 x i32> @test54vec(i1 %C) {
; CHECK-LABEL: @test54vec(
; CHECK-NEXT:    [[V:%.*]] = select i1 [[C:%.*]], <2 x i32> splat (i32 -877), <2 x i32> splat (i32 113)
; CHECK-NEXT:    ret <2 x i32> [[V]]
;
  %A = select i1 %C, <2 x i32> <i32 1000, i32 1000>, <2 x i32> <i32 10, i32 10>
  %V = sub <2 x i32> <i32 123, i32 123>, %A
  ret <2 x i32> %V
}

define <2 x i32> @test54vec2(i1 %C) {
; CHECK-LABEL: @test54vec2(
; CHECK-NEXT:    [[V:%.*]] = select i1 [[C:%.*]], <2 x i32> <i32 -877, i32 -2167>, <2 x i32> <i32 113, i32 303>
; CHECK-NEXT:    ret <2 x i32> [[V]]
;
  %A = select i1 %C, <2 x i32> <i32 1000, i32 2500>, <2 x i32> <i32 10, i32 30>
  %V = sub <2 x i32> <i32 123, i32 333>, %A
  ret <2 x i32> %V
}

define i32 @test55(i1 %which) {
; CHECK-LABEL: @test55(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br i1 [[WHICH:%.*]], label [[FINAL:%.*]], label [[DELAY:%.*]]
; CHECK:       delay:
; CHECK-NEXT:    br label [[FINAL]]
; CHECK:       final:
; CHECK-NEXT:    [[A_NEG:%.*]] = phi i32 [ -877, [[ENTRY:%.*]] ], [ 113, [[DELAY]] ]
; CHECK-NEXT:    ret i32 [[A_NEG]]
;
entry:
  br i1 %which, label %final, label %delay

delay:
  br label %final

final:
  %A = phi i32 [ 1000, %entry ], [ 10, %delay ]
  %value = sub i32 123, %A
  ret i32 %value
}

define <2 x i32> @test55vec(i1 %which) {
; CHECK-LABEL: @test55vec(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br i1 [[WHICH:%.*]], label [[FINAL:%.*]], label [[DELAY:%.*]]
; CHECK:       delay:
; CHECK-NEXT:    br label [[FINAL]]
; CHECK:       final:
; CHECK-NEXT:    [[A_NEG:%.*]] = phi <2 x i32> [ splat (i32 -877), [[ENTRY:%.*]] ], [ splat (i32 113), [[DELAY]] ]
; CHECK-NEXT:    ret <2 x i32> [[A_NEG]]
;
entry:
  br i1 %which, label %final, label %delay

delay:
  br label %final

final:
  %A = phi <2 x i32> [ <i32 1000, i32 1000>, %entry ], [ <i32 10, i32 10>, %delay ]
  %value = sub <2 x i32> <i32 123, i32 123>, %A
  ret <2 x i32> %value
}

define <2 x i32> @test55vec2(i1 %which) {
; CHECK-LABEL: @test55vec2(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br i1 [[WHICH:%.*]], label [[FINAL:%.*]], label [[DELAY:%.*]]
; CHECK:       delay:
; CHECK-NEXT:    br label [[FINAL]]
; CHECK:       final:
; CHECK-NEXT:    [[A_NEG:%.*]] = phi <2 x i32> [ <i32 -877, i32 -2167>, [[ENTRY:%.*]] ], [ <i32 113, i32 303>, [[DELAY]] ]
; CHECK-NEXT:    ret <2 x i32> [[A_NEG]]
;
entry:
  br i1 %which, label %final, label %delay

delay:
  br label %final

final:
  %A = phi <2 x i32> [ <i32 1000, i32 2500>, %entry ], [ <i32 10, i32 30>, %delay ]
  %value = sub <2 x i32> <i32 123, i32 333>, %A
  ret <2 x i32> %value
}

define i32 @test56(i32 %A, i32 %B) {
; CHECK-LABEL: @test56(
; CHECK-NEXT:    [[Y:%.*]] = sub i32 0, [[B:%.*]]
; CHECK-NEXT:    ret i32 [[Y]]
;
  %X = add i32 %A, %B
  %Y = sub i32 %A, %X
  ret i32 %Y
}

define i32 @test57(i32 %A, i32 %B) {
; CHECK-LABEL: @test57(
; CHECK-NEXT:    [[Y:%.*]] = sub i32 0, [[B:%.*]]
; CHECK-NEXT:    ret i32 [[Y]]
;
  %X = add i32 %B, %A
  %Y = sub i32 %A, %X
  ret i32 %Y
}

@dummy_global1 = external global ptr
@dummy_global2 = external global ptr

define i64 @test58(ptr %foo, i64 %i, i64 %j) {
; CHECK-LABEL: @test58(
; CHECK-NEXT:    [[GEPDIFF:%.*]] = sub i64 [[I:%.*]], [[J:%.*]]
; CHECK-NEXT:    ret i64 [[GEPDIFF]]
;
  %gep1 = getelementptr inbounds [100 x [100 x i8]], ptr %foo, i64 0, i64 42, i64 %i
  %gep2 = getelementptr inbounds [100 x [100 x i8]], ptr %foo, i64 0, i64 42, i64 %j
  %cast1 = ptrtoint ptr %gep1 to i64
  %cast2 = ptrtoint ptr %gep2 to i64
  %sub = sub i64 %cast1, %cast2
  ret i64 %sub
}

define i64 @test59(ptr %foo, i64 %i) {
; CHECK-LABEL: @test59(
; CHECK-NEXT:    [[TMP1:%.*]] = getelementptr i8, ptr [[FOO:%.*]], i64 [[I:%.*]]
; CHECK-NEXT:    [[GEP1:%.*]] = getelementptr i8, ptr [[TMP1]], i64 4200
; CHECK-NEXT:    [[GEP2:%.*]] = getelementptr inbounds nuw i8, ptr [[FOO]], i64 4200
; CHECK-NEXT:    store ptr [[GEP1]], ptr @dummy_global1, align 8
; CHECK-NEXT:    store ptr [[GEP2]], ptr @dummy_global2, align 8
; CHECK-NEXT:    ret i64 [[I]]
;
; gep1 and gep2 have more than one uses
  %gep1 = getelementptr inbounds [100 x [100 x i8]], ptr %foo, i64 0, i64 42, i64 %i
  %gep2 = getelementptr inbounds [100 x [100 x i8]], ptr %foo, i64 0, i64 42, i64 0
  %cast1 = ptrtoint ptr %gep1 to i64
  %cast2 = ptrtoint ptr %gep2 to i64
  %sub = sub i64 %cast1, %cast2
  store ptr %gep1, ptr @dummy_global1
  store ptr %gep2, ptr @dummy_global2
  ret i64 %sub
}

define i64 @test60(ptr %foo, i64 %i, i64 %j) {
; CHECK-LABEL: @test60(
; CHECK-NEXT:    [[GEP1_SPLIT_IDX:%.*]] = mul nsw i64 [[J:%.*]], 100
; CHECK-NEXT:    [[TMP1:%.*]] = add nsw i64 [[GEP1_SPLIT_IDX]], [[I:%.*]]
; CHECK-NEXT:    [[GEP1:%.*]] = getelementptr inbounds i8, ptr [[FOO:%.*]], i64 [[TMP1]]
; CHECK-NEXT:    [[GEPDIFF:%.*]] = add nsw i64 [[TMP1]], -4200
; CHECK-NEXT:    store ptr [[GEP1]], ptr @dummy_global1, align 8
; CHECK-NEXT:    ret i64 [[GEPDIFF]]
;
; gep1 has a non-constant index and more than one uses. Shouldn't duplicate the arithmetic.
  %gep1 = getelementptr inbounds [100 x [100 x i8]], ptr %foo, i64 0, i64 %j, i64 %i
  %gep2 = getelementptr inbounds [100 x [100 x i8]], ptr %foo, i64 0, i64 42, i64 0
  %cast1 = ptrtoint ptr %gep1 to i64
  %cast2 = ptrtoint ptr %gep2 to i64
  %sub = sub i64 %cast1, %cast2
  store ptr %gep1, ptr @dummy_global1
  ret i64 %sub
}

define i64 @test60_nuw(ptr %foo, i64 %i, i64 %j) {
; CHECK-LABEL: @test60_nuw(
; CHECK-NEXT:    [[GEP1_SPLIT_IDX:%.*]] = mul nuw i64 [[J:%.*]], 100
; CHECK-NEXT:    [[TMP1:%.*]] = add nuw i64 [[GEP1_SPLIT_IDX]], [[I:%.*]]
; CHECK-NEXT:    [[GEP1:%.*]] = getelementptr nuw i8, ptr [[FOO:%.*]], i64 [[TMP1]]
; CHECK-NEXT:    [[GEPDIFF:%.*]] = add i64 [[TMP1]], -4200
; CHECK-NEXT:    store ptr [[GEP1]], ptr @dummy_global1, align 8
; CHECK-NEXT:    ret i64 [[GEPDIFF]]
;
  %gep1 = getelementptr nuw [100 x [100 x i8]], ptr %foo, i64 0, i64 %j, i64 %i
  %gep2 = getelementptr nuw [100 x [100 x i8]], ptr %foo, i64 0, i64 42, i64 0
  %cast1 = ptrtoint ptr %gep1 to i64
  %cast2 = ptrtoint ptr %gep2 to i64
  %sub = sub i64 %cast1, %cast2
  store ptr %gep1, ptr @dummy_global1
  ret i64 %sub
}

define i64 @test61(ptr %foo, i64 %i, i64 %j) {
; CHECK-LABEL: @test61(
; CHECK-NEXT:    [[GEP2_SPLIT_IDX:%.*]] = mul nsw i64 [[J:%.*]], 100
; CHECK-NEXT:    [[TMP1:%.*]] = add nsw i64 [[GEP2_SPLIT_IDX]], [[I:%.*]]
; CHECK-NEXT:    [[GEP2:%.*]] = getelementptr inbounds i8, ptr [[FOO:%.*]], i64 [[TMP1]]
; CHECK-NEXT:    [[GEPDIFF:%.*]] = sub nsw i64 4200, [[TMP1]]
; CHECK-NEXT:    store ptr [[GEP2]], ptr @dummy_global2, align 8
; CHECK-NEXT:    ret i64 [[GEPDIFF]]
;
; gep2 has a non-constant index and more than one uses. Shouldn't duplicate the arithmetic.
  %gep1 = getelementptr inbounds [100 x [100 x i8]], ptr %foo, i64 0, i64 42, i64 0
  %gep2 = getelementptr inbounds [100 x [100 x i8]], ptr %foo, i64 0, i64 %j, i64 %i
  %cast1 = ptrtoint ptr %gep1 to i64
  %cast2 = ptrtoint ptr %gep2 to i64
  %sub = sub i64 %cast1, %cast2
  store ptr %gep2, ptr @dummy_global2
  ret i64 %sub
}

declare void @use.ptr(ptr)

define i64 @test_sub_ptradd_multiuse(ptr %p, i64 %idx1, i64 %idx2) {
; CHECK-LABEL: @test_sub_ptradd_multiuse(
; CHECK-NEXT:    [[P1:%.*]] = getelementptr inbounds i8, ptr [[P:%.*]], i64 [[IDX1:%.*]]
; CHECK-NEXT:    call void @use.ptr(ptr [[P1]])
; CHECK-NEXT:    [[GEPDIFF:%.*]] = sub nsw i64 [[IDX1]], [[IDX2:%.*]]
; CHECK-NEXT:    ret i64 [[GEPDIFF]]
;
  %p1 = getelementptr inbounds i8, ptr %p, i64 %idx1
  call void @use.ptr(ptr %p1)
  %p2 = getelementptr inbounds i8, ptr %p, i64 %idx2
  %p1.int = ptrtoint ptr %p1 to i64
  %p2.int = ptrtoint ptr %p2 to i64
  %sub = sub i64 %p1.int, %p2.int
  ret i64 %sub
}

define i32 @test62(i32 %A) {
; CHECK-LABEL: @test62(
; CHECK-NEXT:    [[TMP1:%.*]] = shl i32 [[A:%.*]], 1
; CHECK-NEXT:    [[C:%.*]] = sub i32 2, [[TMP1]]
; CHECK-NEXT:    ret i32 [[C]]
;
  %B = sub i32 1, %A
  %C = shl i32 %B, 1
  ret i32 %C
}

define <2 x i32> @test62vec(<2 x i32> %A) {
; CHECK-LABEL: @test62vec(
; CHECK-NEXT:    [[TMP1:%.*]] = shl <2 x i32> [[A:%.*]], splat (i32 1)
; CHECK-NEXT:    [[C:%.*]] = sub <2 x i32> splat (i32 2), [[TMP1]]
; CHECK-NEXT:    ret <2 x i32> [[C]]
;
  %B = sub <2 x i32> <i32 1, i32 1>, %A
  %C = shl <2 x i32> %B, <i32 1, i32 1>
  ret <2 x i32> %C
}

define i32 @test63(i32 %A) {
; CHECK-LABEL: @test63(
; CHECK-NEXT:    [[TMP1:%.*]] = shl i32 [[A:%.*]], 1
; CHECK-NEXT:    ret i32 [[TMP1]]
;
  %B = sub i32 1, %A
  %C = shl i32 %B, 1
  %D = sub i32 2, %C
  ret i32 %D
}

define <2 x i32> @test63vec(<2 x i32> %A) {
; CHECK-LABEL: @test63vec(
; CHECK-NEXT:    [[TMP1:%.*]] = shl <2 x i32> [[A:%.*]], splat (i32 1)
; CHECK-NEXT:    ret <2 x i32> [[TMP1]]
;
  %B = sub <2 x i32> <i32 1, i32 1>, %A
  %C = shl <2 x i32> %B, <i32 1, i32 1>
  %D = sub <2 x i32> <i32 2, i32 2>, %C
  ret <2 x i32> %D
}

define i32 @test64(i32 %x) {
; CHECK-LABEL: @test64(
; CHECK-NEXT:    [[TMP1:%.*]] = call i32 @llvm.smin.i32(i32 [[X:%.*]], i32 255)
; CHECK-NEXT:    [[DOTNEG:%.*]] = add nsw i32 [[TMP1]], 1
; CHECK-NEXT:    ret i32 [[DOTNEG]]
;
  %1 = xor i32 %x, -1
  %2 = icmp sgt i32 %1, -256
  %3 = select i1 %2, i32 %1, i32 -256
  %res = sub i32 0, %3
  ret i32 %res
}

define i32 @test65(i32 %x) {
; CHECK-LABEL: @test65(
; CHECK-NEXT:    [[TMP1:%.*]] = call i32 @llvm.smax.i32(i32 [[X:%.*]], i32 -256)
; CHECK-NEXT:    [[DOTNEG:%.*]] = add i32 [[TMP1]], 1
; CHECK-NEXT:    ret i32 [[DOTNEG]]
;
  %1 = xor i32 %x, -1
  %2 = icmp slt i32 %1, 255
  %3 = select i1 %2, i32 %1, i32 255
  %res = sub i32 0, %3
  ret i32 %res
}

define i32 @test66(i32 %x) {
; CHECK-LABEL: @test66(
; CHECK-NEXT:    [[TMP1:%.*]] = call i32 @llvm.umin.i32(i32 [[X:%.*]], i32 -101)
; CHECK-NEXT:    [[DOTNEG:%.*]] = add nuw i32 [[TMP1]], 1
; CHECK-NEXT:    ret i32 [[DOTNEG]]
;
  %1 = xor i32 %x, -1
  %2 = icmp ugt i32 %1, 100
  %3 = select i1 %2, i32 %1, i32 100
  %res = sub i32 0, %3
  ret i32 %res
}

define i32 @test67(i32 %x) {
; CHECK-LABEL: @test67(
; CHECK-NEXT:    [[TMP1:%.*]] = call i32 @llvm.umax.i32(i32 [[X:%.*]], i32 100)
; CHECK-NEXT:    [[DOTNEG:%.*]] = add i32 [[TMP1]], 1
; CHECK-NEXT:    ret i32 [[DOTNEG]]
;
  %1 = xor i32 %x, -1
  %2 = icmp ult i32 %1, -101
  %3 = select i1 %2, i32 %1, i32 -101
  %res = sub i32 0, %3
  ret i32 %res
}

; Check splat vectors too
define <2 x i32> @test68(<2 x i32> %x) {
; CHECK-LABEL: @test68(
; CHECK-NEXT:    [[TMP1:%.*]] = call <2 x i32> @llvm.smin.v2i32(<2 x i32> [[X:%.*]], <2 x i32> splat (i32 255))
; CHECK-NEXT:    [[DOTNEG:%.*]] = add nsw <2 x i32> [[TMP1]], splat (i32 1)
; CHECK-NEXT:    ret <2 x i32> [[DOTNEG]]
;
  %1 = xor <2 x i32> %x, <i32 -1, i32 -1>
  %2 = icmp sgt <2 x i32> %1, <i32 -256, i32 -256>
  %3 = select <2 x i1> %2, <2 x i32> %1, <2 x i32> <i32 -256, i32 -256>
  %res = sub <2 x i32> zeroinitializer, %3
  ret <2 x i32> %res
}

; And non-splat constant vectors.
define <2 x i32> @test69(<2 x i32> %x) {
; CHECK-LABEL: @test69(
; CHECK-NEXT:    [[TMP1:%.*]] = call <2 x i32> @llvm.smin.v2i32(<2 x i32> [[X:%.*]], <2 x i32> <i32 255, i32 127>)
; CHECK-NEXT:    [[DOTNEG:%.*]] = add <2 x i32> [[TMP1]], splat (i32 1)
; CHECK-NEXT:    ret <2 x i32> [[DOTNEG]]
;
  %1 = xor <2 x i32> %x, <i32 -1, i32 -1>
  %2 = icmp sgt <2 x i32> %1, <i32 -256, i32 -128>
  %3 = select <2 x i1> %2, <2 x i32> %1, <2 x i32> <i32 -256, i32 -128>
  %res = sub <2 x i32> zeroinitializer, %3
  ret <2 x i32> %res
}

; Check (X | Y) - Y --> X & ~Y when Y is a constant
define i32 @test70(i32 %A) {
; CHECK-LABEL: @test70(
; CHECK-NEXT:    [[C:%.*]] = and i32 [[A:%.*]], -124
; CHECK-NEXT:    ret i32 [[C]]
;
  %B = or i32 %A, 123
  %C = sub i32 %B, 123
  ret i32 %C
}

; Check (X | Y) - Y --> (X | Y) ^ Y doesn't happen where (X | Y) has multiple uses
define i32 @test71(i32 %A, i32 %B) {
; CHECK-LABEL: @test71(
; CHECK-NEXT:    [[C:%.*]] = or i32 [[A:%.*]], [[B:%.*]]
; CHECK-NEXT:    [[D:%.*]] = sub i32 [[C]], [[B]]
; CHECK-NEXT:    [[E:%.*]] = mul i32 [[C]], [[D]]
; CHECK-NEXT:    ret i32 [[E]]
;
  %C = or i32 %A, %B
  %D = sub i32 %C, %B
  %E = mul i32 %C, %D
  ret i32 %E
}

; Check (X | Y) - Y --> X & ~Y where X and Y are vectors
define <2 x i32> @test72(<2 x i32> %A, <2 x i32> %B) {
; CHECK-LABEL: @test72(
; CHECK-NEXT:    [[B_NOT:%.*]] = xor <2 x i32> [[B:%.*]], splat (i32 -1)
; CHECK-NEXT:    [[D:%.*]] = and <2 x i32> [[A:%.*]], [[B_NOT]]
; CHECK-NEXT:    ret <2 x i32> [[D]]
;
  %C = or <2 x i32> %A, %B
  %D = sub <2 x i32> %C, %B
  ret <2 x i32> %D
}

; Check reversing sub operands won't trigger (X | Y) - Y --> X & ~Y
define i32 @test73(i32 %A, i32 %B) {
; CHECK-LABEL: @test73(
; CHECK-NEXT:    [[C:%.*]] = or i32 [[A:%.*]], [[B:%.*]]
; CHECK-NEXT:    [[D:%.*]] = sub i32 [[B]], [[C]]
; CHECK-NEXT:    ret i32 [[D]]
;
  %C = or i32 %A, %B
  %D = sub i32 %B, %C
  ret i32 %D
}

define i32 @nsw_inference1(i32 %x, i32 %y) {
; CHECK-LABEL: @nsw_inference1(
; CHECK-NEXT:    [[X2:%.*]] = or i32 [[X:%.*]], 1024
; CHECK-NEXT:    [[Y2:%.*]] = and i32 [[Y:%.*]], 1
; CHECK-NEXT:    [[Z:%.*]] = sub nuw nsw i32 [[X2]], [[Y2]]
; CHECK-NEXT:    ret i32 [[Z]]
;
  %x2 = or i32 %x, 1024
  %y2 = and i32 %y, 1
  %z = sub i32 %x2, %y2
  ret i32 %z
}

define i32 @nsw_inference2(i32 %x, i32 %y) {
; CHECK-LABEL: @nsw_inference2(
; CHECK-NEXT:    [[X2:%.*]] = and i32 [[X:%.*]], -1025
; CHECK-NEXT:    [[Y2:%.*]] = or i32 [[Y:%.*]], -2
; CHECK-NEXT:    [[Z:%.*]] = sub nsw i32 [[X2]], [[Y2]]
; CHECK-NEXT:    ret i32 [[Z]]
;
  %x2 = and i32 %x, -1025
  %y2 = or i32 %y, -2
  %z = sub i32 %x2, %y2
  ret i32 %z
}

define i8 @test74(i8 %x, i8 %y) {
; CHECK-LABEL: @test74(
; CHECK-NEXT:    [[T0:%.*]] = and i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    call void @use8(i8 [[T0]])
; CHECK-NEXT:    [[T1:%.*]] = sub i8 [[X]], [[T0]]
; CHECK-NEXT:    ret i8 [[T1]]
;
  %t0 = and i8 %x, %y
  call void @use8(i8 %t0)
  %t1 = sub i8 %x, %t0
  ret i8 %t1
}

define i8 @test75(i8 %x) {
; CHECK-LABEL: @test75(
; CHECK-NEXT:    [[T0:%.*]] = and i8 [[X:%.*]], -8
; CHECK-NEXT:    call void @use8(i8 [[T0]])
; CHECK-NEXT:    [[T1:%.*]] = and i8 [[X]], 7
; CHECK-NEXT:    ret i8 [[T1]]
;
  %t0 = and i8 %x, -8
  call void @use8(i8 %t0)
  %t1 = sub i8 %x, %t0
  ret i8 %t1
}

; ((w-x) + y) - z --> (w+y) - (x+z)

define i8 @sub_add_sub_reassoc(i8 %w, i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @sub_add_sub_reassoc(
; CHECK-NEXT:    [[TMP1:%.*]] = add i8 [[W:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[TMP2:%.*]] = add i8 [[X:%.*]], [[Z:%.*]]
; CHECK-NEXT:    [[S2:%.*]] = sub i8 [[TMP1]], [[TMP2]]
; CHECK-NEXT:    ret i8 [[S2]]
;
  %s1 = sub i8 %w, %x
  %a = add i8 %s1, %y
  %s2 = sub i8 %a, %z
  ret i8 %s2
}

; vectors work too.

define <2 x i8> @sub_add_sub_reassoc_commute(<2 x i8> %w, <2 x i8> %x, <2 x i8> %y, <2 x i8> %z) {
; CHECK-LABEL: @sub_add_sub_reassoc_commute(
; CHECK-NEXT:    [[D:%.*]] = sdiv <2 x i8> [[Y:%.*]], <i8 42, i8 -42>
; CHECK-NEXT:    [[TMP1:%.*]] = add <2 x i8> [[W:%.*]], [[D]]
; CHECK-NEXT:    [[TMP2:%.*]] = add <2 x i8> [[X:%.*]], [[Z:%.*]]
; CHECK-NEXT:    [[S2:%.*]] = sub <2 x i8> [[TMP1]], [[TMP2]]
; CHECK-NEXT:    ret <2 x i8> [[S2]]
;
  %d = sdiv <2 x i8> %y, <i8 42, i8 -42> ; thwart complexity-based canonicalization
  %s1 = sub <2 x i8> %w, %x
  %a = add <2 x i8> %d, %s1
  %s2 = sub <2 x i8> %a, %z
  ret <2 x i8> %s2
}

; (v-w) + (x-y) - z --> (v+x) - (w+y+z)

define i8 @sub_add_sub_reassoc_twice(i8 %v, i8 %w, i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @sub_add_sub_reassoc_twice(
; CHECK-NEXT:    [[TMP1:%.*]] = add i8 [[W:%.*]], [[Z:%.*]]
; CHECK-NEXT:    [[TMP2:%.*]] = add i8 [[X:%.*]], [[V:%.*]]
; CHECK-NEXT:    [[TMP3:%.*]] = add i8 [[Y:%.*]], [[TMP1]]
; CHECK-NEXT:    [[S3:%.*]] = sub i8 [[TMP2]], [[TMP3]]
; CHECK-NEXT:    ret i8 [[S3]]
;
  %s1 = sub i8 %v, %w
  %s2 = sub i8 %x, %y
  %a = add i8 %s1, %s2
  %s3 = sub i8 %a, %z
  ret i8 %s3
}

; negative test - uses

define i8 @sub_add_sub_reassoc_use1(i8 %w, i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @sub_add_sub_reassoc_use1(
; CHECK-NEXT:    [[S1:%.*]] = sub i8 [[W:%.*]], [[X:%.*]]
; CHECK-NEXT:    call void @use8(i8 [[S1]])
; CHECK-NEXT:    [[A:%.*]] = add i8 [[S1]], [[Y:%.*]]
; CHECK-NEXT:    [[S2:%.*]] = sub i8 [[A]], [[Z:%.*]]
; CHECK-NEXT:    ret i8 [[S2]]
;
  %s1 = sub i8 %w, %x
  call void @use8(i8 %s1)
  %a = add i8 %s1, %y
  %s2 = sub i8 %a, %z
  ret i8 %s2
}

; negative test - uses

define i8 @sub_add_sub_reassoc_use2(i8 %w, i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @sub_add_sub_reassoc_use2(
; CHECK-NEXT:    [[S1:%.*]] = sub i8 [[W:%.*]], [[X:%.*]]
; CHECK-NEXT:    [[A:%.*]] = add i8 [[S1]], [[Y:%.*]]
; CHECK-NEXT:    call void @use8(i8 [[A]])
; CHECK-NEXT:    [[S2:%.*]] = sub i8 [[A]], [[Z:%.*]]
; CHECK-NEXT:    ret i8 [[S2]]
;
  %s1 = sub i8 %w, %x
  %a = add i8 %s1, %y
  call void @use8(i8 %a)
  %s2 = sub i8 %a, %z
  ret i8 %s2
}

define i8 @sub_mask_lowbits(i8 %x) {
; CHECK-LABEL: @sub_mask_lowbits(
; CHECK-NEXT:    [[TMP1:%.*]] = and i8 [[X:%.*]], -4
; CHECK-NEXT:    [[R:%.*]] = add i8 [[TMP1]], -108
; CHECK-NEXT:    ret i8 [[R]]
;
  %a1 = add i8 %x, 148 ; 0x94
  %a2 = and i8 %x, 3
  %r = sub i8 %a1, %a2
  ret i8 %r
}

; Negative test - low-bit mask must not overlap with offset

define i8 @sub_not_mask_lowbits(i8 %x) {
; CHECK-LABEL: @sub_not_mask_lowbits(
; CHECK-NEXT:    [[A1:%.*]] = add i8 [[X:%.*]], 4
; CHECK-NEXT:    [[A2:%.*]] = and i8 [[X]], 7
; CHECK-NEXT:    [[R:%.*]] = sub i8 [[A1]], [[A2]]
; CHECK-NEXT:    ret i8 [[R]]
;
  %a1 = add i8 %x, 4
  %a2 = and i8 %x, 7
  %r = sub i8 %a1, %a2
  ret i8 %r
}

define <2 x i8> @sub_mask_lowbits_splat_extra_use(<2 x i8> %x, ptr %p) {
; CHECK-LABEL: @sub_mask_lowbits_splat_extra_use(
; CHECK-NEXT:    [[A2:%.*]] = and <2 x i8> [[X:%.*]], splat (i8 10)
; CHECK-NEXT:    store <2 x i8> [[A2]], ptr [[P:%.*]], align 2
; CHECK-NEXT:    [[TMP1:%.*]] = and <2 x i8> [[X]], splat (i8 -11)
; CHECK-NEXT:    [[R:%.*]] = add <2 x i8> [[TMP1]], splat (i8 -64)
; CHECK-NEXT:    ret <2 x i8> [[R]]
;
  %a1 = add <2 x i8> %x, <i8 192, i8 192> ; 0xc0
  %a2 = and <2 x i8> %x, <i8 10, i8 10>   ; 0x0a
  store <2 x i8> %a2, ptr %p
  %r = sub <2 x i8> %a1, %a2
  ret <2 x i8> %r
}

define i16 @sub_nsw_mul_nsw(i16 %x, i16 %y) {
; CHECK-LABEL: @sub_nsw_mul_nsw(
; CHECK-NEXT:    [[TMP1:%.*]] = sub nsw i16 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = shl nsw i16 [[TMP1]], 3
; CHECK-NEXT:    ret i16 [[R]]
;
  %x8 = mul nsw i16 %x, 8
  %y8 = mul nsw i16 %y, 8
  %r = sub nsw i16 %x8, %y8
  ret i16 %r
}

define i16 @sub_nuw_mul_nsw(i16 %x, i16 %y) {
; CHECK-LABEL: @sub_nuw_mul_nsw(
; CHECK-NEXT:    [[TMP1:%.*]] = sub i16 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = shl i16 [[TMP1]], 2
; CHECK-NEXT:    ret i16 [[R]]
;
  %x8 = mul nsw i16 %x, 4
  %y8 = mul nsw i16 %y, 4
  %r = sub nuw i16 %x8, %y8
  ret i16 %r
}

define i16 @sub_mul_nsw(i16 %x, i16 %y) {
; CHECK-LABEL: @sub_mul_nsw(
; CHECK-NEXT:    [[TMP1:%.*]] = sub i16 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = shl i16 [[TMP1]], 4
; CHECK-NEXT:    ret i16 [[R]]
;
  %x8 = mul nsw i16 %x, 16
  %y8 = mul nsw i16 %y, 16
  %r = sub i16 %x8, %y8
  ret i16 %r
}

define i16 @sub_nsw_mul_nuw(i16 %x, i16 %y) {
; CHECK-LABEL: @sub_nsw_mul_nuw(
; CHECK-NEXT:    [[TMP1:%.*]] = sub i16 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = shl i16 [[TMP1]], 3
; CHECK-NEXT:    ret i16 [[R]]
;
  %x8 = mul nuw i16 %x, 8
  %y8 = mul nuw i16 %y, 8
  %r = sub nsw i16 %x8, %y8
  ret i16 %r
}

define i16 @sub_nuw_mul_nuw(i16 %x, i16 %y) {
; CHECK-LABEL: @sub_nuw_mul_nuw(
; CHECK-NEXT:    [[TMP1:%.*]] = sub nuw i16 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = shl nuw i16 [[TMP1]], 4
; CHECK-NEXT:    ret i16 [[R]]
;
  %x8 = mul nuw i16 %x, 16
  %y8 = mul nuw i16 %y, 16
  %r = sub nuw i16 %x8, %y8
  ret i16 %r
}

define i16 @sub_mul_nuw(i16 %x, i16 %y) {
; CHECK-LABEL: @sub_mul_nuw(
; CHECK-NEXT:    [[TMP1:%.*]] = sub i16 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = shl i16 [[TMP1]], 5
; CHECK-NEXT:    ret i16 [[R]]
;
  %x8 = mul nuw i16 %x, 32
  %y8 = mul nuw i16 %y, 32
  %r = sub i16 %x8, %y8
  ret i16 %r
}
define i32 @and_test(i32 %x, i32 %y) {
; CHECK-LABEL: @and_test(
; CHECK-NEXT:    [[R:%.*]] = and i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = add i32 %x, %y
  %o = or i32 %x, %y
  %r = sub i32 %a, %o
  ret i32 %r
}

define i32 @and_test2(i32 %x, i32 %y) {
; CHECK-LABEL: @and_test2(
; CHECK-NEXT:    [[R:%.*]] = and i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = add i32 %x, %y
  %o = or i32 %y, %x
  %r = sub i32 %a, %o
  ret i32 %r
}

define i32 @and_test3(i32 %x, i32 %y) {
; CHECK-LABEL: @and_test3(
; CHECK-NEXT:    [[R:%.*]] = and i32 [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = add i32 %y, %x
  %o = or i32 %x, %y
  %r = sub i32 %a, %o
  ret i32 %r
}


define <2 x i8> @and_vec(<2 x i8> %X, <2 x i8> %Y) {
; CHECK-LABEL: @and_vec(
; CHECK-NEXT:    [[R:%.*]] = and <2 x i8> [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret <2 x i8> [[R]]
;
  %a = add <2 x i8> %X, %Y
  %o = or <2 x i8> %X, %Y
  %r = sub <2 x i8> %a, %o
  ret <2 x i8> %r
}

define i32 @or_test(i32 %x, i32 %y) {
; CHECK-LABEL: @or_test(
; CHECK-NEXT:    [[R:%.*]] = or i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = add i32 %x, %y
  %b = and i32 %x, %y
  %r = sub i32 %a, %b
  ret i32 %r
}

define i32 @or_test2(i32 %x, i32 %y) {
; CHECK-LABEL: @or_test2(
; CHECK-NEXT:    [[R:%.*]] = or i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = add i32 %x, %y
  %b = and i32 %y, %x
  %r = sub i32 %a, %b
  ret i32 %r
}

define i32 @or_test3(i32 %x, i32 %y) {
; CHECK-LABEL: @or_test3(
; CHECK-NEXT:    [[R:%.*]] = or i32 [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = add i32 %y, %x
  %b = and i32 %x, %y
  %r = sub i32 %a, %b
  ret i32 %r
}

define <2 x i8> @or_vec(<2 x i8> %X, <2 x i8> %Y) {
; CHECK-LABEL: @or_vec(
; CHECK-NEXT:    [[R:%.*]] = or <2 x i8> [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret <2 x i8> [[R]]
;
  %a = add <2 x i8> %X, %Y
  %b = and <2 x i8> %X, %Y
  %r = sub <2 x i8> %a, %b
  ret <2 x i8> %r
}

define i32 @pr51584(i32 %a, i32 %b) {
; CHECK-LABEL: @pr51584(
; CHECK-NEXT:    [[TMP1:%.*]] = add i32 [[B:%.*]], [[A:%.*]]
; CHECK-NEXT:    [[DOTNEG:%.*]] = sub i32 -11, [[TMP1]]
; CHECK-NEXT:    ret i32 [[DOTNEG]]
;
  %sub = sub i32 0, %a
  %add = add nsw i32 11, %b
  %sub1 = sub i32 %sub, %add
  ret i32 %sub1
}

define i8 @sub_srem(i8 noundef %x, i8 %y) {
; CHECK-LABEL: @sub_srem(
; CHECK-NEXT:    [[REM:%.*]] = srem i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = sub nsw i8 [[X]], [[REM]]
; CHECK-NEXT:    ret i8 [[SUB]]
;
  %rem = srem i8 %x, %y
  %sub = sub i8 %x, %rem
  ret i8 %sub
}

define <2 x i5> @sub_urem(<2 x i5> noundef %x, <2 x i5> %y) {
; CHECK-LABEL: @sub_urem(
; CHECK-NEXT:    [[REM:%.*]] = urem <2 x i5> [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw <2 x i5> [[X]], [[REM]]
; CHECK-NEXT:    ret <2 x i5> [[SUB]]
;
  %rem = urem <2 x i5> %x, %y
  %sub = sub <2 x i5> %x, %rem
  ret <2 x i5> %sub
}

define <3 x i32> @nuw_const_zext(<3 x i8> %y) {
; CHECK-LABEL: @nuw_const_zext(
; CHECK-NEXT:    [[ZY:%.*]] = zext <3 x i8> [[Y:%.*]] to <3 x i32>
; CHECK-NEXT:    [[S:%.*]] = sub nuw nsw <3 x i32> <i32 255, i32 128, i32 0>, [[ZY]]
; CHECK-NEXT:    ret <3 x i32> [[S]]
;
  %zy = zext <3 x i8> %y to <3 x i32>
  %s = sub nuw <3 x i32> <i32 255, i32 128, i32 0>, %zy
  ret <3 x i32> %s
}

define i32 @nuw_const_zext_big(i8 %y) {
; CHECK-LABEL: @nuw_const_zext_big(
; CHECK-NEXT:    [[ZY:%.*]] = zext i8 [[Y:%.*]] to i32
; CHECK-NEXT:    [[S:%.*]] = sub nuw nsw i32 257, [[ZY]]
; CHECK-NEXT:    ret i32 [[S]]
;
  %zy = zext i8 %y to i32
  %s = sub nuw i32 257, %zy
  ret i32 %s
}

define i32 @nuw_zext_zext(i8 %x, i8 %y) {
; CHECK-LABEL: @nuw_zext_zext(
; CHECK-NEXT:    [[ZX:%.*]] = zext i8 [[X:%.*]] to i32
; CHECK-NEXT:    [[ZY:%.*]] = zext i8 [[Y:%.*]] to i32
; CHECK-NEXT:    [[S:%.*]] = sub nuw nsw i32 [[ZX]], [[ZY]]
; CHECK-NEXT:    ret i32 [[S]]
;
  %zx = zext i8 %x to i32
  %zy = zext i8 %y to i32
  %s = sub nuw i32 %zx, %zy
  ret i32 %s
}

define <2 x i16> @nuw_zext_sext(<2 x i8> %x, <2 x i8> %y) {
; CHECK-LABEL: @nuw_zext_sext(
; CHECK-NEXT:    [[ZX:%.*]] = zext <2 x i8> [[X:%.*]] to <2 x i16>
; CHECK-NEXT:    [[SY:%.*]] = sext <2 x i8> [[Y:%.*]] to <2 x i16>
; CHECK-NEXT:    [[S:%.*]] = sub nuw nsw <2 x i16> [[ZX]], [[SY]]
; CHECK-NEXT:    ret <2 x i16> [[S]]
;
  %zx = zext <2 x i8> %x to <2 x i16>
  %sy = sext <2 x i8> %y to <2 x i16>
  %s = sub nuw <2 x i16> %zx, %sy
  ret <2 x i16> %s
}

define i32 @nuw_sext_zext(i8 %x, i8 %y) {
; CHECK-LABEL: @nuw_sext_zext(
; CHECK-NEXT:    [[SX:%.*]] = sext i8 [[X:%.*]] to i32
; CHECK-NEXT:    [[ZY:%.*]] = zext i8 [[Y:%.*]] to i32
; CHECK-NEXT:    [[S:%.*]] = sub nuw nsw i32 [[SX]], [[ZY]]
; CHECK-NEXT:    ret i32 [[S]]
;
  %sx = sext i8 %x to i32
  %zy = zext i8 %y to i32
  %s = sub nuw i32 %sx, %zy
  ret i32 %s
}

define i8 @nuw_zext_zext_use1(i5 %x, i5 %y) {
; CHECK-LABEL: @nuw_zext_zext_use1(
; CHECK-NEXT:    [[ZX:%.*]] = zext i5 [[X:%.*]] to i8
; CHECK-NEXT:    call void @use8(i8 [[ZX]])
; CHECK-NEXT:    [[ZY:%.*]] = zext i5 [[Y:%.*]] to i8
; CHECK-NEXT:    [[S:%.*]] = sub nuw nsw i8 [[ZX]], [[ZY]]
; CHECK-NEXT:    ret i8 [[S]]
;
  %zx = zext i5 %x to i8
  call void @use8(i8 %zx)
  %zy = zext i5 %y to i8
  %s = sub nuw i8 %zx, %zy
  ret i8 %s
}

define i8 @nuw_zext_zext_use2(i5 %x, i5 %y) {
; CHECK-LABEL: @nuw_zext_zext_use2(
; CHECK-NEXT:    [[ZX:%.*]] = zext i5 [[X:%.*]] to i8
; CHECK-NEXT:    [[ZY:%.*]] = zext i5 [[Y:%.*]] to i8
; CHECK-NEXT:    call void @use8(i8 [[ZY]])
; CHECK-NEXT:    [[S:%.*]] = sub nuw nsw i8 [[ZX]], [[ZY]]
; CHECK-NEXT:    ret i8 [[S]]
;
  %zx = zext i5 %x to i8
  %zy = zext i5 %y to i8
  call void @use8(i8 %zy)
  %s = sub nuw i8 %zx, %zy
  ret i8 %s
}

define i8 @nuw_zext_zext_use3(i5 %x, i5 %y) {
; CHECK-LABEL: @nuw_zext_zext_use3(
; CHECK-NEXT:    [[ZX:%.*]] = zext i5 [[X:%.*]] to i8
; CHECK-NEXT:    call void @use8(i8 [[ZX]])
; CHECK-NEXT:    [[ZY:%.*]] = zext i5 [[Y:%.*]] to i8
; CHECK-NEXT:    call void @use8(i8 [[ZY]])
; CHECK-NEXT:    [[S:%.*]] = sub nuw nsw i8 [[ZX]], [[ZY]]
; CHECK-NEXT:    ret i8 [[S]]
;
  %zx = zext i5 %x to i8
  call void @use8(i8 %zx)
  %zy = zext i5 %y to i8
  call void @use8(i8 %zy)
  %s = sub nuw i8 %zx, %zy
  ret i8 %s
}

define i32 @nuw_zext_zext_different_width(i8 %x, i7 %y) {
; CHECK-LABEL: @nuw_zext_zext_different_width(
; CHECK-NEXT:    [[ZX:%.*]] = zext i8 [[X:%.*]] to i32
; CHECK-NEXT:    [[ZY:%.*]] = zext i7 [[Y:%.*]] to i32
; CHECK-NEXT:    [[S:%.*]] = sub nuw nsw i32 [[ZX]], [[ZY]]
; CHECK-NEXT:    ret i32 [[S]]
;
  %zx = zext i8 %x to i32
  %zy = zext i7 %y to i32
  %s = sub nuw i32 %zx, %zy
  ret i32 %s
}

define i16 @sext_nsw_noundef(i8 noundef %x, i8 %y) {
; CHECK-LABEL: @sext_nsw_noundef(
; CHECK-NEXT:    [[Z:%.*]] = sext i8 [[Y:%.*]] to i16
; CHECK-NEXT:    ret i16 [[Z]]
;
  %d = sub nsw i8 %x, %y
  %ex = sext i8 %x to i16
  %ed = sext i8 %d to i16
  %z = sub i16 %ex, %ed
  ret i16 %z
}

; negative test - requires noundef

define i16 @sext_nsw(i8 %x, i8 %y) {
; CHECK-LABEL: @sext_nsw(
; CHECK-NEXT:    [[D:%.*]] = sub nsw i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[EX:%.*]] = sext i8 [[X]] to i16
; CHECK-NEXT:    [[ED:%.*]] = sext i8 [[D]] to i16
; CHECK-NEXT:    [[Z:%.*]] = sub nsw i16 [[EX]], [[ED]]
; CHECK-NEXT:    ret i16 [[Z]]
;
  %d = sub nsw i8 %x, %y
  %ex = sext i8 %x to i16
  %ed = sext i8 %d to i16
  %z = sub i16 %ex, %ed
  ret i16 %z
}

; negative test - requires nsw

define i16 @sext_noundef(i8 noundef %x, i8 %y) {
; CHECK-LABEL: @sext_noundef(
; CHECK-NEXT:    [[D:%.*]] = sub i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[EX:%.*]] = sext i8 [[X]] to i16
; CHECK-NEXT:    [[ED:%.*]] = sext i8 [[D]] to i16
; CHECK-NEXT:    [[Z:%.*]] = sub nsw i16 [[EX]], [[ED]]
; CHECK-NEXT:    ret i16 [[Z]]
;
  %d = sub i8 %x, %y
  %ex = sext i8 %x to i16
  %ed = sext i8 %d to i16
  %z = sub i16 %ex, %ed
  ret i16 %z
}

; negative test - must have common operand

define i16 @sext_nsw_noundef_wrong_val(i8 noundef %x, i8 noundef %y, i8 noundef %q) {
; CHECK-LABEL: @sext_nsw_noundef_wrong_val(
; CHECK-NEXT:    [[D:%.*]] = sub nsw i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[EQ:%.*]] = sext i8 [[Q:%.*]] to i16
; CHECK-NEXT:    [[ED:%.*]] = sext i8 [[D]] to i16
; CHECK-NEXT:    [[Z:%.*]] = sub nsw i16 [[EQ]], [[ED]]
; CHECK-NEXT:    ret i16 [[Z]]
;
  %d = sub nsw i8 %x, %y
  %eq = sext i8 %q to i16
  %ed = sext i8 %d to i16
  %z = sub i16 %eq, %ed
  ret i16 %z
}

; two no-wrap analyses combine to allow reduction

define i16 @srem_sext_noundef(i8 noundef %x, i8 %y) {
; CHECK-LABEL: @srem_sext_noundef(
; CHECK-NEXT:    [[R:%.*]] = srem i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[Z:%.*]] = sext i8 [[R]] to i16
; CHECK-NEXT:    ret i16 [[Z]]
;
  %r = srem i8 %x, %y
  %d = sub i8 %x, %r
  %sd = sext i8 %d to i16
  %sx = sext i8 %x to i16
  %z = sub i16 %sx, %sd
  ret i16 %z
}

define i16 @zext_nuw_noundef(i8 noundef %x, i8 %y) {
; CHECK-LABEL: @zext_nuw_noundef(
; CHECK-NEXT:    [[Z:%.*]] = zext i8 [[Y:%.*]] to i16
; CHECK-NEXT:    ret i16 [[Z]]
;
  %d = sub nuw i8 %x, %y
  %ex = zext i8 %x to i16
  %ed = zext i8 %d to i16
  %z = sub i16 %ex, %ed
  ret i16 %z
}

; negative test - requires noundef

define i16 @zext_nuw(i8 %x, i8 %y) {
; CHECK-LABEL: @zext_nuw(
; CHECK-NEXT:    [[D:%.*]] = sub nuw i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[EX:%.*]] = zext i8 [[X]] to i16
; CHECK-NEXT:    [[ED:%.*]] = zext i8 [[D]] to i16
; CHECK-NEXT:    [[Z:%.*]] = sub nsw i16 [[EX]], [[ED]]
; CHECK-NEXT:    ret i16 [[Z]]
;
  %d = sub nuw i8 %x, %y
  %ex = zext i8 %x to i16
  %ed = zext i8 %d to i16
  %z = sub i16 %ex, %ed
  ret i16 %z
}

; negative test - requires nuw

define i16 @zext_noundef(i8 noundef %x, i8 %y) {
; CHECK-LABEL: @zext_noundef(
; CHECK-NEXT:    [[D:%.*]] = sub i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[EX:%.*]] = zext i8 [[X]] to i16
; CHECK-NEXT:    [[ED:%.*]] = zext i8 [[D]] to i16
; CHECK-NEXT:    [[Z:%.*]] = sub nsw i16 [[EX]], [[ED]]
; CHECK-NEXT:    ret i16 [[Z]]
;
  %d = sub i8 %x, %y
  %ex = zext i8 %x to i16
  %ed = zext i8 %d to i16
  %z = sub i16 %ex, %ed
  ret i16 %z
}

; negative test - must have common operand

define i16 @zext_nsw_noundef_wrong_val(i8 noundef %x, i8 noundef %y, i8 noundef %q) {
; CHECK-LABEL: @zext_nsw_noundef_wrong_val(
; CHECK-NEXT:    [[D:%.*]] = sub nuw i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[EQ:%.*]] = zext i8 [[Q:%.*]] to i16
; CHECK-NEXT:    [[ED:%.*]] = zext i8 [[D]] to i16
; CHECK-NEXT:    [[Z:%.*]] = sub nsw i16 [[EQ]], [[ED]]
; CHECK-NEXT:    ret i16 [[Z]]
;
  %d = sub nuw i8 %x, %y
  %eq = zext i8 %q to i16
  %ed = zext i8 %d to i16
  %z = sub i16 %eq, %ed
  ret i16 %z
}

; two no-wrap analyses combine to allow reduction

define i16 @urem_zext_noundef(i8 noundef %x, i8 %y) {
; CHECK-LABEL: @urem_zext_noundef(
; CHECK-NEXT:    [[R:%.*]] = urem i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[Z:%.*]] = zext i8 [[R]] to i16
; CHECK-NEXT:    ret i16 [[Z]]
;
  %r = urem i8 %x, %y
  %d = sub i8 %x, %r
  %ed = zext i8 %d to i16
  %ex = zext i8 %x to i16
  %z = sub i16 %ex, %ed
  ret i16 %z
}

; x * y - x --> (y - 1) * x
; TODO: The mul could retain nsw.

define i8 @mul_sub_common_factor_commute1(i8 %x, i8 %y) {
; CHECK-LABEL: @mul_sub_common_factor_commute1(
; CHECK-NEXT:    [[X1:%.*]] = add i8 [[Y:%.*]], -1
; CHECK-NEXT:    [[A:%.*]] = mul i8 [[X:%.*]], [[X1]]
; CHECK-NEXT:    ret i8 [[A]]
;
  %m = mul nsw i8 %x, %y
  %a = sub nsw i8 %m, %x
  ret i8 %a
}

; TODO: The mul could retain nuw.

define <2 x i8> @mul_sub_common_factor_commute2(<2 x i8> %x, <2 x i8> %y) {
; CHECK-LABEL: @mul_sub_common_factor_commute2(
; CHECK-NEXT:    [[M1:%.*]] = add <2 x i8> [[Y:%.*]], splat (i8 -1)
; CHECK-NEXT:    [[A:%.*]] = mul <2 x i8> [[M1]], [[X:%.*]]
; CHECK-NEXT:    ret <2 x i8> [[A]]
;
  %m = mul nuw <2 x i8> %y, %x
  %a = sub nuw <2 x i8> %m, %x
  ret <2 x i8> %a
}

; x - (x * y) --> (1 - y) * x

define i8 @mul_sub_common_factor_commute3(i8 %x, i8 %y) {
; CHECK-LABEL: @mul_sub_common_factor_commute3(
; CHECK-NEXT:    [[M1:%.*]] = sub i8 1, [[Y:%.*]]
; CHECK-NEXT:    [[A:%.*]] = mul i8 [[X:%.*]], [[M1]]
; CHECK-NEXT:    ret i8 [[A]]
;
  %m = mul nuw i8 %x, %y
  %a = sub nsw i8 %x, %m
  ret i8 %a
}

define i8 @mul_sub_common_factor_commute4(i8 %x, i8 %y) {
; CHECK-LABEL: @mul_sub_common_factor_commute4(
; CHECK-NEXT:    [[M1:%.*]] = sub i8 1, [[Y:%.*]]
; CHECK-NEXT:    [[A:%.*]] = mul i8 [[X:%.*]], [[M1]]
; CHECK-NEXT:    ret i8 [[A]]
;
  %m = mul nsw i8 %y, %x
  %a = sub nuw i8 %x, %m
  ret i8 %a
}

; negative test - uses

define i8 @mul_sub_common_factor_use(i8 %x, i8 %y) {
; CHECK-LABEL: @mul_sub_common_factor_use(
; CHECK-NEXT:    [[M:%.*]] = mul i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    call void @use8(i8 [[M]])
; CHECK-NEXT:    [[A:%.*]] = sub i8 [[M]], [[X]]
; CHECK-NEXT:    ret i8 [[A]]
;
  %m = mul i8 %x, %y
  call void @use8(i8 %m)
  %a = sub i8 %m, %x
  ret i8 %a
}

define i5 @demand_low_bits_uses(i8 %x, i8 %y) {
; CHECK-LABEL: @demand_low_bits_uses(
; CHECK-NEXT:    [[M:%.*]] = and i8 [[X:%.*]], 96
; CHECK-NEXT:    [[A:%.*]] = sub i8 [[Y:%.*]], [[M]]
; CHECK-NEXT:    call void @use8(i8 [[A]])
; CHECK-NEXT:    [[R:%.*]] = trunc i8 [[Y]] to i5
; CHECK-NEXT:    ret i5 [[R]]
;
  %m = and i8 %x, 96 ; 0x60
  %a = sub i8 %y, %m
  call void @use8(i8 %a)
  %r = trunc i8 %a to i5
  ret i5 %r
}

; negative test - demands one more bit

define i6 @demand_low_bits_uses_extra_bit(i8 %x, i8 %y) {
; CHECK-LABEL: @demand_low_bits_uses_extra_bit(
; CHECK-NEXT:    [[M:%.*]] = and i8 [[X:%.*]], 96
; CHECK-NEXT:    [[A:%.*]] = sub i8 [[Y:%.*]], [[M]]
; CHECK-NEXT:    call void @use8(i8 [[A]])
; CHECK-NEXT:    [[R:%.*]] = trunc i8 [[A]] to i6
; CHECK-NEXT:    ret i6 [[R]]
;
  %m = and i8 %x, 96 ; 0x60
  %a = sub i8 %y, %m
  call void @use8(i8 %a)
  %r = trunc i8 %a to i6
  ret i6 %r
}

; negative test - must be operand 1

define i8 @demand_low_bits_uses_commute(i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @demand_low_bits_uses_commute(
; CHECK-NEXT:    [[M:%.*]] = and i8 [[X:%.*]], -64
; CHECK-NEXT:    [[A:%.*]] = sub i8 [[M]], [[Y:%.*]]
; CHECK-NEXT:    call void @use8(i8 [[A]])
; CHECK-NEXT:    [[S:%.*]] = sub i8 [[A]], [[Z:%.*]]
; CHECK-NEXT:    [[R:%.*]] = shl i8 [[S]], 2
; CHECK-NEXT:    ret i8 [[R]]
;
  %m = and i8 %x, -64 ; 0xC0
  %a = sub i8 %m, %y
  call void @use8(i8 %a)
  %s = sub i8 %a, %z
  %r = shl i8 %s, 2
  ret i8 %r
}

; sub becomes negate and combines with shl

define i8 @shrink_sub_from_constant_lowbits(i8 %x) {
; CHECK-LABEL: @shrink_sub_from_constant_lowbits(
; CHECK-NEXT:    [[X000_NEG:%.*]] = mul i8 [[X:%.*]], -8
; CHECK-NEXT:    ret i8 [[X000_NEG]]
;
  %x000 = shl i8 %x, 3   ; 3 low bits are known zero
  %sub = sub i8 7, %x000
  %r = and i8 %sub, -8   ; 3 low bits are not demanded
  ret i8 %r
}

; negative test - extra use prevents shrinking '7'

define i8 @shrink_sub_from_constant_lowbits_uses(i8 %x) {
; CHECK-LABEL: @shrink_sub_from_constant_lowbits_uses(
; CHECK-NEXT:    [[X000:%.*]] = shl i8 [[X:%.*]], 3
; CHECK-NEXT:    [[SUB:%.*]] = sub i8 7, [[X000]]
; CHECK-NEXT:    call void @use8(i8 [[SUB]])
; CHECK-NEXT:    [[R:%.*]] = and i8 [[SUB]], -8
; CHECK-NEXT:    ret i8 [[R]]
;
  %x000 = shl i8 %x, 3   ; 3 low bits are known zero
  %sub = sub i8 7, %x000
  call void @use8(i8 %sub)
  %r = and i8 %sub, -8   ; 3 low bits are not demanded
  ret i8 %r
}

; safe to clear 3 low bits (2 higher bits remain set)

define i8 @shrink_sub_from_constant_lowbits2(i8 %x) {
; CHECK-LABEL: @shrink_sub_from_constant_lowbits2(
; CHECK-NEXT:    [[X000:%.*]] = and i8 [[X:%.*]], -8
; CHECK-NEXT:    [[SUB:%.*]] = sub nsw i8 24, [[X000]]
; CHECK-NEXT:    [[R:%.*]] = and i8 [[SUB]], -16
; CHECK-NEXT:    ret i8 [[R]]
;
  %x000 = and i8 %x, -8   ; 3 low bits are known zero
  %sub = sub nsw i8 30, %x000 ; 0b0001_1110
  %r = and i8 %sub, -16   ; 4 low bits are not demanded
  ret i8 %r
}

; safe to clear 3 low bits (2 higher bits remain set)

define <2 x i8> @shrink_sub_from_constant_lowbits3(<2 x i8> %x) {
; CHECK-LABEL: @shrink_sub_from_constant_lowbits3(
; CHECK-NEXT:    [[X0000:%.*]] = shl <2 x i8> [[X:%.*]], splat (i8 4)
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw <2 x i8> splat (i8 24), [[X0000]]
; CHECK-NEXT:    [[R:%.*]] = lshr exact <2 x i8> [[SUB]], splat (i8 3)
; CHECK-NEXT:    ret <2 x i8> [[R]]
;
  %x0000 = shl <2 x i8> %x, <i8 4, i8 4>     ; 4 low bits are known zero
  %sub = sub nuw <2 x i8> <i8 31, i8 31>, %x0000
  %r = lshr <2 x i8> %sub, <i8 3, i8 3>      ; 3 low bits are not demanded
  ret <2 x i8> %r
}

; eliminate the mask of y or the mask of the result

define i8 @demand_sub_from_variable_lowbits(i8 %x, i8 %y) {
; CHECK-LABEL: @demand_sub_from_variable_lowbits(
; CHECK-NEXT:    [[X000:%.*]] = shl i8 [[X:%.*]], 3
; CHECK-NEXT:    [[SUB:%.*]] = sub i8 [[Y:%.*]], [[X000]]
; CHECK-NEXT:    [[R:%.*]] = and i8 [[SUB]], -8
; CHECK-NEXT:    ret i8 [[R]]
;
  %x000 = shl i8 %x, 3   ; 3 low bits are known zero
  %y000 = and i8 %y, -8
  %sub = sub i8 %y000, %x000
  %r = and i8 %sub, -8   ; 3 low bits are not demanded
  ret i8 %r
}

; setting the low 3 bits of y doesn't change anything

define i8 @demand_sub_from_variable_lowbits2(i8 %x, i8 %y) {
; CHECK-LABEL: @demand_sub_from_variable_lowbits2(
; CHECK-NEXT:    [[X0000:%.*]] = shl i8 [[X:%.*]], 4
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw nsw i8 [[Y:%.*]], [[X0000]]
; CHECK-NEXT:    [[R:%.*]] = lshr i8 [[SUB]], 4
; CHECK-NEXT:    ret i8 [[R]]
;
  %x0000 = shl i8 %x, 4   ; 4 low bits are known zero
  %y111 = or i8 %y, 7
  %sub = sub nsw nuw i8 %y111, %x0000
  %r = lshr i8 %sub, 4    ; 4 low bits are not demanded
  ret i8 %r
}

; negative test - the mask of y removes an extra bit, so that instruction is needed

define i8 @demand_sub_from_variable_lowbits3(i8 %x, i8 %y) {
; CHECK-LABEL: @demand_sub_from_variable_lowbits3(
; CHECK-NEXT:    [[X0000:%.*]] = shl i8 [[X:%.*]], 4
; CHECK-NEXT:    [[Y00000:%.*]] = and i8 [[Y:%.*]], -32
; CHECK-NEXT:    [[SUB:%.*]] = sub i8 [[Y00000]], [[X0000]]
; CHECK-NEXT:    [[R:%.*]] = lshr exact i8 [[SUB]], 4
; CHECK-NEXT:    ret i8 [[R]]
;
  %x0000 = shl i8 %x, 4   ; 4 low bits are known zero
  %y00000 = and i8 %y, -32
  %sub = sub i8 %y00000, %x0000
  %r = lshr i8 %sub, 4    ; 4 low bits are not demanded
  ret i8 %r
}

; C - ((C3 - X) & C2) --> (C - (C2 & C3)) + (X & C2) when:
; (C3 - ((C2 & C3) - 1)) is pow2
; ((C2 + C3) & ((C2 & C3) - 1)) == ((C2 & C3) - 1)
; C2 is negative pow2
define i10 @sub_to_and_nuw(i10 %x) {
; CHECK-LABEL: @sub_to_and_nuw(
; CHECK-NEXT:    [[TMP1:%.*]] = and i10 [[X:%.*]], 120
; CHECK-NEXT:    [[R:%.*]] = add nuw nsw i10 [[TMP1]], 379
; CHECK-NEXT:    ret i10 [[R]]
;
  %sub = sub nuw i10 71, %x
  %and = and i10 %sub, 120
  %r = sub i10 443, %and
  ret i10 %r
}

; C - ((C3 -nuw X) & C2) --> (C - (C2 & C3)) + (X & C2) when:
; (C3 - ((C2 & C3) - 1)) is pow2
; ((C2 + C3) & ((C2 & C3) - 1)) == ((C2 & C3) - 1)
define i10 @sub_to_and_negpow2(i10 %x) {
; CHECK-LABEL: @sub_to_and_negpow2(
; CHECK-NEXT:    [[TMP1:%.*]] = and i10 [[X:%.*]], -8
; CHECK-NEXT:    [[R:%.*]] = add i10 [[TMP1]], -31
; CHECK-NEXT:    ret i10 [[R]]
;
  %sub = sub i10 71, %x
  %and = and i10 %sub, -8
  %r = sub i10 33, %and
  ret i10 %r
}

; TODO:
; C + ((C3 -nuw X) & C2) --> (C + (C2 & C3)) - (X & C2) when:
define i10 @add_to_and_nuw(i10 %x) {
; CHECK-LABEL: @add_to_and_nuw(
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw i10 71, [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and i10 [[SUB]], 120
; CHECK-NEXT:    [[R:%.*]] = add nuw nsw i10 [[AND]], 224
; CHECK-NEXT:    ret i10 [[R]]
;
  %sub = sub nuw i10 71, %x
  %and = and i10 %sub, 120
  %r = add i10 224, %and
  ret i10 %r
}

; (C3 - (C2 & C3) + 1) is not pow2
define i10 @sub_to_and_negative1(i10 %x) {
; CHECK-LABEL: @sub_to_and_negative1(
; CHECK-NEXT:    [[SUB:%.*]] = sub i10 71, [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and i10 [[SUB]], 248
; CHECK-NEXT:    [[R:%.*]] = sub nuw nsw i10 444, [[AND]]
; CHECK-NEXT:    ret i10 [[R]]
;
  %sub = sub nuw i10 327, %x
  %and = and i10 %sub, 248
  %r = sub i10 444, %and
  ret i10 %r
}

; ((C2 + C3) & ((C2 & C3) - 1)) == ((C2 & C3) - 1)
define i10 @sub_to_and_negative2(i10 %x) {
; CHECK-LABEL: @sub_to_and_negative2(
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw i10 71, [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and i10 [[SUB]], 88
; CHECK-NEXT:    [[R:%.*]] = sub nsw i10 64, [[AND]]
; CHECK-NEXT:    ret i10 [[R]]
;
  %sub = sub nuw i10 71, %x
  %and = and i10 %sub, 88
  %r = sub i10 64, %and
  ret i10 %r
}

; no nuw && C2 is not neg-pow2
define i10 @sub_to_and_negative3(i10 %x) {
; CHECK-LABEL: @sub_to_and_negative3(
; CHECK-NEXT:    [[SUB:%.*]] = sub i10 71, [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and i10 [[SUB]], 120
; CHECK-NEXT:    [[R:%.*]] = sub nsw i10 64, [[AND]]
; CHECK-NEXT:    ret i10 [[R]]
;
  %sub = sub i10 71, %x
  %and = and i10 %sub, 120
  %r = sub i10 64, %and
  ret i10 %r
}

declare void @use10(i10)

; and is not one-use
define i10 @sub_to_and_negative4(i10 %x) {
; CHECK-LABEL: @sub_to_and_negative4(
; CHECK-NEXT:    [[SUB:%.*]] = sub i10 71, [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and i10 [[SUB]], 120
; CHECK-NEXT:    [[R:%.*]] = sub nsw i10 64, [[AND]]
; CHECK-NEXT:    call void @use10(i10 [[AND]])
; CHECK-NEXT:    ret i10 [[R]]
;
  %sub = sub i10 71, %x
  %and = and i10 %sub, 120
  %r = sub i10 64, %and
  call void @use10(i10 %and)
  ret i10 %r
}


define <2 x i8> @sub_to_and_vector1(<2 x i8> %x) {
; CHECK-LABEL: @sub_to_and_vector1(
; CHECK-NEXT:    [[TMP1:%.*]] = and <2 x i8> [[X:%.*]], splat (i8 120)
; CHECK-NEXT:    [[R:%.*]] = add nsw <2 x i8> [[TMP1]], splat (i8 -9)
; CHECK-NEXT:    ret <2 x i8> [[R]]
;
  %sub = sub nuw <2 x i8> <i8 71, i8 71>, %x
  %and = and <2 x i8> %sub, <i8 120, i8 120>
  %r = sub <2 x i8>  <i8 55, i8 55>, %and
  ret <2 x i8> %r
}


define <2 x i8> @sub_to_and_vector2(<2 x i8> %x) {
; CHECK-LABEL: @sub_to_and_vector2(
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw <2 x i8> <i8 71, i8 poison>, [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and <2 x i8> [[SUB]], splat (i8 120)
; CHECK-NEXT:    [[R:%.*]] = sub nsw <2 x i8> splat (i8 77), [[AND]]
; CHECK-NEXT:    ret <2 x i8> [[R]]
;
  %sub = sub nuw <2 x i8> <i8 71, i8 poison>, %x
  %and = and <2 x i8> %sub, <i8 120, i8 120>
  %r = sub <2 x i8>  <i8 77, i8 77>, %and
  ret <2 x i8> %r
}


define <2 x i8> @sub_to_and_vector3(<2 x i8> %x) {
; CHECK-LABEL: @sub_to_and_vector3(
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw <2 x i8> splat (i8 71), [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and <2 x i8> [[SUB]], <i8 120, i8 poison>
; CHECK-NEXT:    [[R:%.*]] = sub nsw <2 x i8> splat (i8 44), [[AND]]
; CHECK-NEXT:    ret <2 x i8> [[R]]
;
  %sub = sub nuw <2 x i8> <i8 71, i8 71>, %x
  %and = and <2 x i8> %sub, <i8 120, i8 poison>
  %r = sub <2 x i8>  <i8 44, i8 44>, %and
  ret <2 x i8> %r
}


define <2 x i8> @sub_to_and_vector4(<2 x i8> %x) {
; CHECK-LABEL: @sub_to_and_vector4(
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw <2 x i8> splat (i8 71), [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and <2 x i8> [[SUB]], splat (i8 120)
; CHECK-NEXT:    [[R:%.*]] = sub nsw <2 x i8> <i8 88, i8 poison>, [[AND]]
; CHECK-NEXT:    ret <2 x i8> [[R]]
;
  %sub = sub nuw <2 x i8> <i8 71, i8 71>, %x
  %and = and <2 x i8> %sub, <i8 120, i8 120>
  %r = sub <2 x i8>  <i8 88, i8 poison>, %and
  ret <2 x i8> %r
}

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

define i8 @diff_of_squares(i8 %x, i8 %y) {
; CHECK-LABEL: @diff_of_squares(
; CHECK-NEXT:    [[ADD:%.*]] = add i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = sub i8 [[X]], [[Y]]
; CHECK-NEXT:    [[R:%.*]] = mul i8 [[ADD]], [[SUB]]
; CHECK-NEXT:    ret i8 [[R]]
;
  %x2 = mul i8 %x, %x
  %y2 = mul i8 %y, %y
  %r = sub i8 %x2, %y2
  ret i8 %r
}

; All-or-nothing for propagation of no-wrap flags (possibly conservative)

define i5 @diff_of_squares_nuw(i5 %x, i5 %y) {
; CHECK-LABEL: @diff_of_squares_nuw(
; CHECK-NEXT:    [[ADD:%.*]] = add nuw i5 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw i5 [[X]], [[Y]]
; CHECK-NEXT:    [[R:%.*]] = mul nuw i5 [[ADD]], [[SUB]]
; CHECK-NEXT:    ret i5 [[R]]
;
  %x2 = mul nuw i5 %x, %x
  %y2 = mul nuw i5 %y, %y
  %r = sub nuw i5 %x2, %y2
  ret i5 %r
}

; All-or-nothing for propagation of no-wrap flags (possibly conservative)

define i5 @diff_of_squares_partial_nuw(i5 %x, i5 %y) {
; CHECK-LABEL: @diff_of_squares_partial_nuw(
; CHECK-NEXT:    [[ADD:%.*]] = add i5 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = sub i5 [[X]], [[Y]]
; CHECK-NEXT:    [[R:%.*]] = mul i5 [[ADD]], [[SUB]]
; CHECK-NEXT:    ret i5 [[R]]
;
  %x2 = mul nuw i5 %x, %x
  %y2 = mul nuw i5 %y, %y
  %r = sub i5 %x2, %y2
  ret i5 %r
}

; All-or-nothing for propagation of no-wrap flags (possibly conservative)

define <2 x i5> @diff_of_squares_nsw(<2 x i5> %x, <2 x i5> %y) {
; CHECK-LABEL: @diff_of_squares_nsw(
; CHECK-NEXT:    [[ADD:%.*]] = add nsw <2 x i5> [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = sub nsw <2 x i5> [[X]], [[Y]]
; CHECK-NEXT:    [[R:%.*]] = mul nsw <2 x i5> [[ADD]], [[SUB]]
; CHECK-NEXT:    ret <2 x i5> [[R]]
;
  %x2 = mul nsw <2 x i5> %x, %x
  %y2 = mul nsw <2 x i5> %y, %y
  %r = sub nsw <2 x i5> %x2, %y2
  ret <2 x i5> %r
}

; All-or-nothing for propagation of no-wrap flags (possibly conservative)

define <2 x i5> @diff_of_squares_partial_nsw(<2 x i5> %x, <2 x i5> %y) {
; CHECK-LABEL: @diff_of_squares_partial_nsw(
; CHECK-NEXT:    [[ADD:%.*]] = add <2 x i5> [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = sub <2 x i5> [[X]], [[Y]]
; CHECK-NEXT:    [[R:%.*]] = mul <2 x i5> [[ADD]], [[SUB]]
; CHECK-NEXT:    ret <2 x i5> [[R]]
;
  %x2 = mul nsw <2 x i5> %x, %x
  %y2 = mul <2 x i5> %y, %y
  %r = sub nsw <2 x i5> %x2, %y2
  ret <2 x i5> %r
}

define i1 @diff_of_squares_nsw_i1(i1 %x, i1 %y) {
; CHECK-LABEL: @diff_of_squares_nsw_i1(
; CHECK-NEXT:    ret i1 false
;
  %x2 = mul nsw i1 %x, %x
  %y2 = mul nsw i1 %y, %y
  %r = sub nsw i1 %x2, %y2
  ret i1 %r
}

define i1 @diff_of_squares_nuw_i1(i1 %x, i1 %y) {
; CHECK-LABEL: @diff_of_squares_nuw_i1(
; CHECK-NEXT:    [[R:%.*]] = xor i1 [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    ret i1 [[R]]
;
  %x2 = mul nuw i1 %x, %x
  %y2 = mul nuw i1 %y, %y
  %r = sub nuw i1 %x2, %y2
  ret i1 %r
}

; It is not correct to propagate nsw.
; TODO: This should reduce more.

define i2 @diff_of_squares_nsw_i2(i2 %x, i2 %y) {
; CHECK-LABEL: @diff_of_squares_nsw_i2(
; CHECK-NEXT:    [[ADD:%.*]] = add i2 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = sub i2 [[X]], [[Y]]
; CHECK-NEXT:    [[R:%.*]] = mul i2 [[ADD]], [[SUB]]
; CHECK-NEXT:    ret i2 [[R]]
;
  %x2 = mul nsw i2 %x, %x
  %y2 = mul nsw i2 %y, %y
  %r = sub nsw i2 %x2, %y2
  ret i2 %r
}

; TODO: This should reduce more.

define i2 @diff_of_squares_nuw_i2(i2 %x, i2 %y) {
; CHECK-LABEL: @diff_of_squares_nuw_i2(
; CHECK-NEXT:    [[ADD:%.*]] = add nuw i2 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw i2 [[X]], [[Y]]
; CHECK-NEXT:    [[R:%.*]] = mul nuw i2 [[ADD]], [[SUB]]
; CHECK-NEXT:    ret i2 [[R]]
;
  %x2 = mul nuw i2 %x, %x
  %y2 = mul nuw i2 %y, %y
  %r = sub nuw i2 %x2, %y2
  ret i2 %r
}

; negative test

define i8 @diff_of_squares_use1(i8 %x, i8 %y) {
; CHECK-LABEL: @diff_of_squares_use1(
; CHECK-NEXT:    [[X2:%.*]] = mul i8 [[X:%.*]], [[X]]
; CHECK-NEXT:    call void @use8(i8 [[X2]])
; CHECK-NEXT:    [[Y2:%.*]] = mul i8 [[Y:%.*]], [[Y]]
; CHECK-NEXT:    [[R:%.*]] = sub i8 [[X2]], [[Y2]]
; CHECK-NEXT:    ret i8 [[R]]
;
  %x2 = mul i8 %x, %x
  call void @use8(i8 %x2)
  %y2 = mul i8 %y, %y
  %r = sub i8 %x2, %y2
  ret i8 %r
}

; negative test

define i8 @diff_of_squares_use2(i8 %x, i8 %y) {
; CHECK-LABEL: @diff_of_squares_use2(
; CHECK-NEXT:    [[X2:%.*]] = mul i8 [[X:%.*]], [[X]]
; CHECK-NEXT:    [[Y2:%.*]] = mul i8 [[Y:%.*]], [[Y]]
; CHECK-NEXT:    call void @use8(i8 [[Y2]])
; CHECK-NEXT:    [[R:%.*]] = sub i8 [[X2]], [[Y2]]
; CHECK-NEXT:    ret i8 [[R]]
;
  %x2 = mul i8 %x, %x
  %y2 = mul i8 %y, %y
  call void @use8(i8 %y2)
  %r = sub i8 %x2, %y2
  ret i8 %r
}

; negative test - must be squares

define i8 @diff_of_muls1(i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @diff_of_muls1(
; CHECK-NEXT:    [[M:%.*]] = mul i8 [[X:%.*]], [[Z:%.*]]
; CHECK-NEXT:    [[Y2:%.*]] = mul i8 [[Y:%.*]], [[Y]]
; CHECK-NEXT:    [[R:%.*]] = sub i8 [[M]], [[Y2]]
; CHECK-NEXT:    ret i8 [[R]]
;
  %m = mul i8 %x, %z
  %y2 = mul i8 %y, %y
  %r = sub i8 %m, %y2
  ret i8 %r
}

; negative test - must be squares

define i8 @diff_of_muls2(i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @diff_of_muls2(
; CHECK-NEXT:    [[X2:%.*]] = mul i8 [[X:%.*]], [[X]]
; CHECK-NEXT:    [[M:%.*]] = mul i8 [[Y:%.*]], [[Z:%.*]]
; CHECK-NEXT:    [[R:%.*]] = sub i8 [[X2]], [[M]]
; CHECK-NEXT:    ret i8 [[R]]
;
  %x2 = mul i8 %x, %x
  %m = mul i8 %y, %z
  %r = sub i8 %x2, %m
  ret i8 %r
}

define i8 @sub_of_adds_2xz_multiuse(i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @sub_of_adds_2xz_multiuse(
; CHECK-NEXT:    [[XZ:%.*]] = add i8 [[X:%.*]], [[Z:%.*]]
; CHECK-NEXT:    [[YZ:%.*]] = add i8 [[Z]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = sub i8 [[X]], [[Y]]
; CHECK-NEXT:    call void @use8(i8 [[XZ]])
; CHECK-NEXT:    call void @use8(i8 [[YZ]])
; CHECK-NEXT:    ret i8 [[R]]
;
  %xz = add i8 %x, %z
  %yz = add i8 %z, %y
  %r = sub i8 %xz, %yz
  call void @use8(i8 %xz)
  call void @use8(i8 %yz)
  ret i8 %r
}

define i8 @sub_of_adds_2xz_nsw(i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @sub_of_adds_2xz_nsw(
; CHECK-NEXT:    [[R:%.*]] = sub nsw i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret i8 [[R]]
;
  %xz = add nsw i8 %x, %z
  %yz = add nsw i8 %z, %y
  %r = sub nsw i8 %xz, %yz
  ret i8 %r
}

define i8 @sub_of_adds_2xz_nuw(i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @sub_of_adds_2xz_nuw(
; CHECK-NEXT:    [[R:%.*]] = sub nuw i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret i8 [[R]]
;
  %xz = add nuw i8 %x, %z
  %yz = add nuw i8 %z, %y
  %r = sub nuw i8 %xz, %yz
  ret i8 %r
}

define i8 @sub_of_or_disjoint_2xz(i8 %x, i8 %y, i8 %z) {
; CHECK-LABEL: @sub_of_or_disjoint_2xz(
; CHECK-NEXT:    [[R:%.*]] = sub i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    ret i8 [[R]]
;
  %xz = or disjoint i8 %x, %z
  %yz = or disjoint i8 %z, %y
  %r = sub i8 %xz, %yz
  ret i8 %r
}

define i8 @sub_of_adds_2xc_multiuse2_fail(i8 %x, i8 %y) {
; CHECK-LABEL: @sub_of_adds_2xc_multiuse2_fail(
; CHECK-NEXT:    [[XC:%.*]] = add i8 [[X:%.*]], 10
; CHECK-NEXT:    [[YC:%.*]] = add i8 [[Y:%.*]], 11
; CHECK-NEXT:    [[R:%.*]] = sub i8 [[XC]], [[YC]]
; CHECK-NEXT:    call void @use8(i8 [[XC]])
; CHECK-NEXT:    call void @use8(i8 [[YC]])
; CHECK-NEXT:    ret i8 [[R]]
;
  %xc = add i8 %x, 10
  %yc = add i8 %y, 11
  %r = sub i8 %xc, %yc
  call void @use8(i8 %xc)
  call void @use8(i8 %yc)
  ret i8 %r
}

define i8 @sub_of_adds_2xc(i8 %x, i8 %y) {
; CHECK-LABEL: @sub_of_adds_2xc(
; CHECK-NEXT:    [[TMP1:%.*]] = sub i8 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    [[R:%.*]] = add i8 [[TMP1]], 2
; CHECK-NEXT:    ret i8 [[R]]
;
  %xc = add i8 %x, 10
  %yc = add i8 %y, 8
  %r = sub i8 %xc, %yc
  ret i8 %r
}

define i32 @sub_infer_nuw_from_domcond(i32 %x, i32 %y) {
; CHECK-LABEL: @sub_infer_nuw_from_domcond(
; CHECK-NEXT:    [[COND_NOT:%.*]] = icmp ult i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    br i1 [[COND_NOT]], label [[IF_ELSE:%.*]], label [[IF_THEN:%.*]]
; CHECK:       if.then:
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw i32 [[X]], [[Y]]
; CHECK-NEXT:    ret i32 [[SUB]]
; CHECK:       if.else:
; CHECK-NEXT:    ret i32 0
;
  %cond = icmp uge i32 %x, %y
  br i1 %cond, label %if.then, label %if.else

if.then:
  %sub = sub i32 %x, %y
  ret i32 %sub

if.else:
  ret i32 0
}

define i1 @sub_infer_nuw_from_domcond_fold1(i32 %x, i32 %y) {
; CHECK-LABEL: @sub_infer_nuw_from_domcond_fold1(
; CHECK-NEXT:    [[COND_NOT:%.*]] = icmp ult i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    br i1 [[COND_NOT]], label [[IF_ELSE:%.*]], label [[IF_THEN:%.*]]
; CHECK:       if.then:
; CHECK-NEXT:    ret i1 false
; CHECK:       if.else:
; CHECK-NEXT:    ret i1 false
;
  %cond = icmp uge i32 %x, %y
  br i1 %cond, label %if.then, label %if.else

if.then:
  %ext0 = zext i32 %y to i64
  %ext1 = zext i32 %x to i64
  %sub = sub i32 %x, %y
  %ext2 = zext i32 %sub to i64
  %add = add nuw nsw i64 %ext2, %ext0
  %cmp = icmp ugt i64 %add, %ext1
  ret i1 %cmp

if.else:
  ret i1 false
}

define i64 @sub_infer_nuw_from_domcond_fold2(i32 range(i32 0, 2147483648) %x, i32 range(i32 0, 2147483648) %y) {
; CHECK-LABEL: @sub_infer_nuw_from_domcond_fold2(
; CHECK-NEXT:    [[COND_NOT:%.*]] = icmp samesign ult i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    br i1 [[COND_NOT]], label [[IF_ELSE:%.*]], label [[IF_THEN:%.*]]
; CHECK:       if.then:
; CHECK-NEXT:    [[SUB:%.*]] = sub nuw nsw i32 [[X]], [[Y]]
; CHECK-NEXT:    [[EXT:%.*]] = zext nneg i32 [[SUB]] to i64
; CHECK-NEXT:    ret i64 [[EXT]]
; CHECK:       if.else:
; CHECK-NEXT:    ret i64 0
;
  %cond = icmp uge i32 %x, %y
  br i1 %cond, label %if.then, label %if.else

if.then:
  %sub = sub i32 %x, %y
  %ext = zext i32 %sub to i64
  ret i64 %ext

if.else:
  ret i64 0
}

define i1 @sub_infer_nuw_from_domcond_fold3(i16 %xx, i32 range(i32 0, 12) %y) {
; CHECK-LABEL: @sub_infer_nuw_from_domcond_fold3(
; CHECK-NEXT:    [[X:%.*]] = zext i16 [[XX:%.*]] to i32
; CHECK-NEXT:    [[COND:%.*]] = icmp samesign ugt i32 [[Y:%.*]], [[X]]
; CHECK-NEXT:    br i1 [[COND]], label [[IF_THEN:%.*]], label [[IF_ELSE:%.*]]
; CHECK:       if.then:
; CHECK-NEXT:    ret i1 false
; CHECK:       if.else:
; CHECK-NEXT:    ret i1 false
;
  %x = zext i16 %xx to i32
  %cond = icmp ult i32 %x, %y
  br i1 %cond, label %if.then, label %if.else

if.then:
  %sub = sub nsw i32 %y, %x
  %cmp = icmp eq i32 %sub, -1
  ret i1 %cmp

if.else:
  ret i1 false
}

; negative tests

define i32 @sub_infer_nuw_from_domcond_wrong_pred(i32 %x, i32 %y) {
; CHECK-LABEL: @sub_infer_nuw_from_domcond_wrong_pred(
; CHECK-NEXT:    [[COND_NOT:%.*]] = icmp slt i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    br i1 [[COND_NOT]], label [[IF_ELSE:%.*]], label [[IF_THEN:%.*]]
; CHECK:       if.then:
; CHECK-NEXT:    [[SUB:%.*]] = sub i32 [[X]], [[Y]]
; CHECK-NEXT:    ret i32 [[SUB]]
; CHECK:       if.else:
; CHECK-NEXT:    ret i32 0
;
  %cond = icmp sge i32 %x, %y
  br i1 %cond, label %if.then, label %if.else

if.then:
  %sub = sub i32 %x, %y
  ret i32 %sub

if.else:
  ret i32 0
}

define i32 @sub_infer_nuw_from_domcond_lhs_is_false(i32 %x, i32 %y) {
; CHECK-LABEL: @sub_infer_nuw_from_domcond_lhs_is_false(
; CHECK-NEXT:    [[COND_NOT:%.*]] = icmp ult i32 [[X:%.*]], [[Y:%.*]]
; CHECK-NEXT:    br i1 [[COND_NOT]], label [[IF_THEN:%.*]], label [[IF_ELSE:%.*]]
; CHECK:       if.then:
; CHECK-NEXT:    [[SUB:%.*]] = sub i32 [[X]], [[Y]]
; CHECK-NEXT:    ret i32 [[SUB]]
; CHECK:       if.else:
; CHECK-NEXT:    ret i32 0
;
  %cond = icmp uge i32 %x, %y
  br i1 %cond, label %if.else, label %if.then

if.then:
  %sub = sub i32 %x, %y
  ret i32 %sub

if.else:
  ret i32 0
}

define i32 @fold_sub_and_into_andn(i32 %x) {
; CHECK-LABEL: @fold_sub_and_into_andn(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    [[TMP0:%.*]] = and i32 [[X:%.*]], 63
; CHECK-NEXT:    [[AND:%.*]] = xor i32 [[TMP0]], 63
; CHECK-NEXT:    ret i32 [[AND]]
;
entry:
  %sub = sub i32 63, %x
  %and = and i32 %sub, 63
  ret i32 %and
}

define i1 @fold_sub_and_into_andn_icmp(i32 %x) {
; CHECK-LABEL: @fold_sub_and_into_andn_icmp(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    [[TMP0:%.*]] = and i32 [[X:%.*]], 63
; CHECK-NEXT:    [[CMP:%.*]] = icmp eq i32 [[TMP0]], 63
; CHECK-NEXT:    ret i1 [[CMP]]
;
entry:
  %sub = sub i32 63, %x
  %and = and i32 %sub, 63
  %cmp = icmp eq i32 %and, 0
  ret i1 %cmp
}

define i32 @fold_sub_and_into_andn_subset(i32 %x) {
; CHECK-LABEL: @fold_sub_and_into_andn_subset(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    [[TMP0:%.*]] = and i32 [[X:%.*]], 31
; CHECK-NEXT:    [[AND:%.*]] = xor i32 [[TMP0]], 31
; CHECK-NEXT:    ret i32 [[AND]]
;
entry:
  %sub = sub i32 63, %x
  %and = and i32 %sub, 31
  ret i32 %and
}

; Negative tests

define i32 @fold_sub_and_into_andn_nonmask(i32 %x, i32 %y) {
; CHECK-LABEL: @fold_sub_and_into_andn_nonmask(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    [[SUB:%.*]] = sub i32 [[Y:%.*]], [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and i32 [[SUB]], 63
; CHECK-NEXT:    ret i32 [[AND]]
;
entry:
  %sub = sub i32 %y, %x
  %and = and i32 %sub, 63
  ret i32 %and
}

define i32 @fold_sub_and_into_andn_superset(i32 %x) {
; CHECK-LABEL: @fold_sub_and_into_andn_superset(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    [[SUB:%.*]] = sub i32 63, [[X:%.*]]
; CHECK-NEXT:    [[AND:%.*]] = and i32 [[SUB]], 127
; CHECK-NEXT:    ret i32 [[AND]]
;
entry:
  %sub = sub i32 63, %x
  %and = and i32 %sub, 127
  ret i32 %and
}

define i32 @sub_const_or_disjoint(i32 %x) {
; CHECK-LABEL: @sub_const_or_disjoint(
; CHECK-NEXT:    [[R:%.*]] = sub i32 90, [[X:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = or disjoint i32 %x, 10
  %r = sub i32 100, %a
  ret i32 %r
}

define i32 @sub_nsw_const_or_disjoint(i32 %x) {
; CHECK-LABEL: @sub_nsw_const_or_disjoint(
; CHECK-NEXT:    [[R:%.*]] = sub nsw i32 90, [[X:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = or disjoint i32 %x, 10
  %r = sub nsw i32 100, %a
  ret i32 %r
}

define i32 @sub_nuw_const_or_disjoint(i32 %x) {
; CHECK-LABEL: @sub_nuw_const_or_disjoint(
; CHECK-NEXT:    [[R:%.*]] = sub nuw i32 100, [[X:%.*]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = or disjoint i32 %x, 0
  %r = sub nuw i32 100, %a
  ret i32 %r
}

define <2 x i32> @sub_const_or_disjoint_vec(<2 x i32> %x) {
; CHECK-LABEL: @sub_const_or_disjoint_vec(
; CHECK-NEXT:    [[R:%.*]] = sub <2 x i32> splat (i32 90), [[X:%.*]]
; CHECK-NEXT:    ret <2 x i32> [[R]]
;
  %a = or disjoint <2 x i32> %x, splat (i32 10)
  %r = sub <2 x i32> splat (i32 100), %a
  ret <2 x i32> %r
}

; negative test
define i32 @sub_const_or_no_disjoint(i32 %x) {
; CHECK-LABEL: @sub_const_or_no_disjoint(
; CHECK-NEXT:    [[A:%.*]] = or i32 [[X:%.*]], 10
; CHECK-NEXT:    [[R:%.*]] = sub i32 100, [[A]]
; CHECK-NEXT:    ret i32 [[R]]
;
  %a = or i32 %x, 10
  %r = sub i32 100, %a
  ret i32 %r
}