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llvm/llvm/test/Analysis/BasicAA/gep-modulo.ll 

; RUN: opt -aa-pipeline=basic-aa -passes=aa-eval -print-all-alias-modref-info -disable-output %s 2>&1 | FileCheck %s

target datalayout = "p:64:64:64"

; %gep.idx and %gep.6 must-alias if %mul overflows (e.g. %idx == 52).
define void @may_overflow_mul_add_i8(ptr %ptr, i8 %idx) {
; CHECK-LABEL: Function: may_overflow_mul_add_i8: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -6): i8* %gep.6, [16 x i8]* %ptr
; CHECK-NEXT:    MayAlias:  i8* %gep.6, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul i8 %idx, 5
  %add = add i8 %mul, 2
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i8 %add
  store i8 0, ptr %gep.idx, align 1
  %gep.6 = getelementptr [16 x i8], ptr %ptr, i32 0, i32 6
  store i8 1, ptr %gep.6, align 1
  ret void
}

define void @nuw_nsw_mul_add_i8(ptr %ptr, i8 %idx) {
; CHECK-LABEL: Function: nuw_nsw_mul_add_i8: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias: i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -6): i8* %gep.6, [16 x i8]* %ptr
; CHECK-NEXT:    NoAlias:  i8* %gep.6, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul nuw nsw i8 %idx, 5
  %add = add nuw nsw i8 %mul, 2
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i8 %add
  store i8 0, ptr %gep.idx, align 1
  %gep.6 = getelementptr [16 x i8], ptr %ptr, i32 0, i32 6
  store i8 1, ptr %gep.6, align 1
  ret void
}

; %gep.idx and %gep.3 must-alias if %mul overflows (e.g. %idx == 52).
define void @may_overflow_mul_sub_i8(ptr %ptr, i8 %idx) {
; CHECK-LABEL: Function: may_overflow_mul_sub_i8: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    MayAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul i8 %idx, 5
  %sub = sub i8 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i8 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i32 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

define void @nuw_nsw_mul_sub_i8(ptr %ptr, i8 %idx) {
; CHECK-LABEL: Function: nuw_nsw_mul_sub_i8: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    NoAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul nuw nsw i8 %idx, 5
  %sub = sub nuw nsw i8 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i8 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i32 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

; %gep.idx and %gep.3 must-alias if %mul overflows
; (e.g. %idx == 3689348814741910323).
define void @may_overflow_mul_sub_i64(ptr %ptr, i64 %idx) {
; CHECK-LABEL: Function: may_overflow_mul_sub_i64: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    MayAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul i64 %idx, 5
  %sub = sub i64 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i64 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

define void @nuw_nsw_mul_sub_i64(ptr %ptr, i64 %idx) {
; CHECK-LABEL: Function: nuw_nsw_mul_sub_i64: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    NoAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul nuw nsw i64 %idx, 5
  %sub = sub nuw nsw i64 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i64 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

define void @only_nsw_mul_sub_i64(ptr %ptr, i64 %idx) {
; CHECK-LABEL: Function: only_nsw_mul_sub_i64: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    NoAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul nsw i64 %idx, 5
  %sub = sub nsw i64 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i64 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

define void @only_nuw_mul_sub_i64(ptr %ptr, i64 %idx) {
; CHECK-LABEL: Function: only_nuw_mul_sub_i64: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    MayAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul nuw i64 %idx, 5
  %sub = sub nuw i64 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i64 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

; Even though the mul and sub may overflow %gep.idx and %gep.3 cannot alias
; because we multiply by a power-of-2.
define void @may_overflow_mul_pow2_sub_i64(ptr %ptr, i64 %idx) {
; CHECK-LABEL: Function: may_overflow_mul_pow2_sub_i64: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    NoAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul i64 %idx, 8
  %sub = sub i64 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i64 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

; Multiplies by power-of-2 preserves modulo and the sub does not wrap.
define void @mul_pow2_sub_nsw_nuw_i64(ptr %ptr, i64 %idx) {
; CHECK-LABEL: Function: mul_pow2_sub_nsw_nuw_i64: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    NoAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul i64 %idx, 8
  %sub = sub nuw nsw i64 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i64 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

define void @may_overflow_shl_sub_i64(ptr %ptr, i64 %idx) {
; CHECK-LABEL: Function: may_overflow_shl_sub_i64: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    MayAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = shl i64 %idx, 2
  %sub = sub i64 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i64 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

define void @shl_sub_nsw_nuw_i64(ptr %ptr, i64 %idx) {
; CHECK-LABEL: Function: shl_sub_nsw_nuw_i64: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3): i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    NoAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = shl i64 %idx, 3
  %sub = sub nsw nuw i64 %mul, 1
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i64 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

; %gep.idx and %gep.3 must-alias if %mul overflows (e.g. %idx == 110).
define void @may_overflow_i32_sext(ptr %ptr, i32 %idx) {
; CHECK-LABEL: Function: may_overflow_i32_sext: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3):  i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    MayAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul i32 %idx, 678152731
  %sub = sub i32 %mul, 1582356375
  %sub.ext = sext i32 %sub to i64
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub.ext
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i32 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

define void @nuw_nsw_i32_sext(ptr %ptr, i32 %idx) {
; CHECK-LABEL: Function: nuw_nsw_i32_sext: 3 pointers, 0 call sites
; CHECK-NEXT:    NoAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3):  i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    NoAlias:   i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul nuw nsw i32 %idx, 678152731
  %sub = sub nuw nsw i32 %mul, 1582356375
  %sub.ext = sext i32 %sub to i64
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub.ext
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i32 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

; %gep.idx and %gep.3 must-alias if %mul overflows (e.g. %idx == 110).
define void @may_overflow_i32_zext(ptr %ptr, i32 %idx) {
; CHECK-LABEL: Function: may_overflow_i32_zext: 3 pointers, 0 call sites
; CHECK-NEXT:    MayAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3):  i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    MayAlias:  i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul i32 %idx, 678152731
  %sub = sub i32 %mul, 1582356375
  %sub.ext = zext i32 %sub to i64
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub.ext
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i32 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

define void @nuw_nsw_i32_zext(ptr %ptr, i32 %idx) {
; CHECK-LABEL: Function: nuw_nsw_i32_zext: 3 pointers, 0 call sites
; CHECK-NEXT:    NoAlias:  i8* %gep.idx, [16 x i8]* %ptr
; CHECK-NEXT:    PartialAlias (off -3):  i8* %gep.3, [16 x i8]* %ptr
; CHECK-NEXT:    NoAlias:   i8* %gep.3, i8* %gep.idx
;
  load [16 x i8], ptr %ptr
  %mul = mul nuw nsw i32 %idx, 678152731
  %sub = sub nuw nsw i32 %mul, 1582356375
  %sub.ext = zext i32 %sub to i64
  %gep.idx = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub.ext
  store i8 0, ptr %gep.idx, align 1
  %gep.3 = getelementptr [16 x i8], ptr %ptr, i32 0, i32 3
  store i8 1, ptr %gep.3, align 1
  ret void
}

; %mul.1 and %sub.2 are equal, if %idx = 9, because %mul.1 overflows. Hence
; %gep.mul.1 and %gep.sub.2 may alias.
define void @may_overflow_pointer_diff(ptr %ptr, i64 %idx) {
; CHECK-LABEL: Function: may_overflow_pointer_diff: 3 pointers, 0 call sites
; CHECK-NEXT:  MayAlias: i8* %gep.mul.1, [16 x i8]* %ptr
; CHECK-NEXT:  MayAlias: i8* %gep.sub.2, [16 x i8]* %ptr
; CHECK-NEXT:  MayAlias:  i8* %gep.mul.1, i8* %gep.sub.2
;
  load [16 x i8], ptr %ptr
  %mul.1 = mul i64 %idx, 6148914691236517207
  %gep.mul.1  = getelementptr [16 x i8], ptr %ptr, i32 0, i64 %mul.1
  store i8 1, ptr %gep.mul.1, align 1
  %mul.2 = mul nsw i64 %idx, 3
  %sub.2 = sub nsw i64 %mul.2, 12
  %gep.sub.2= getelementptr [16 x i8], ptr %ptr, i32 0, i64 %sub.2
  store i8 0, ptr %gep.sub.2, align 1

  ret void
}

; %gep.1 and %gep.idx may alias, e.g. if %idx.1 = 8 and %idx.2 == 2. %gep.idx is then
;  (((18446744073709551614 * 8) % 2^64 + 6 * 2) % 2^64 + 10) % 2^64 == 6.
define void @may_overflow_mul_scale_neg(ptr %ptr, i64 %idx.1,i64 %idx.2) {
; CHECK-LABEL: Function: may_overflow_mul_scale_neg: 4 pointers, 2 call sites
; CHECK-NEXT:  MustAlias:   i8* %ptr, [200 x [6 x i8]]* %ptr
; CHECK-NEXT:  PartialAlias (off -6):    i8* %gep.1, [200 x [6 x i8]]* %ptr
; CHECK-NEXT:  NoAlias: i8* %gep.1, i8* %ptr
; CHECK-NEXT:  MayAlias:    i8* %gep.idx, [200 x [6 x i8]]* %ptr
; CHECK-NEXT:  MayAlias: i8* %gep.idx, i8* %ptr
; CHECK-NEXT:  MayAlias: i8* %gep.1, i8* %gep.idx
;
  load [200 x [6 x i8]], ptr %ptr
  %idx.1.pos = icmp sge i64 %idx.1, 0
  call void @llvm.assume(i1 %idx.1.pos)
  %idx.2.pos = icmp sge i64 %idx.2, 0
  call void @llvm.assume(i1 %idx.2.pos)

  load i8, ptr %ptr
  %gep.1 = getelementptr i8, ptr %ptr, i64 6
  store i8 1, ptr %gep.1, align 1

  %mul.0 = mul i64 %idx.1, -2
  %add = add i64 %mul.0, 10
  %gep.idx = getelementptr [ 200 x [ 6 x i8 ] ], ptr %ptr, i64 0, i64 %idx.2, i64 %add
  store i8 0, ptr %gep.idx, align 1
  ret void
}

; If %v == 10581764700698480926, %idx == 917, so %gep.917 and %gep.idx may alias.
define i8 @mul_may_overflow_var_nonzero_minabsvarindex_one_index(ptr %arr, i8 %x, i64 %v) {
; CHECK-LABEL: Function: mul_may_overflow_var_nonzero_minabsvarindex_one_index: 4 pointers, 0 call sites
; CHECK-NEXT:  MayAlias: [2000 x i8]* %arr, i8* %gep.idx
; CHECK-NEXT:  PartialAlias (off 917): [2000 x i8]* %arr, i8* %gep.917
; CHECK-NEXT:  MayAlias: i8* %gep.917, i8* %gep.idx
; CHECK-NEXT:  MustAlias: [2000 x i8]* %arr, i8* %gep.0
; CHECK-NEXT:  MayAlias: i8* %gep.0, i8* %gep.idx
; CHECK-NEXT:  NoAlias: i8* %gep.0, i8* %gep.917
;
  load [2000 x i8], ptr %arr
  %or = or i64 %v, 1
  %idx = mul i64 %or, 1844674407370955
  %gep.idx = getelementptr inbounds [2000 x i8], ptr %arr, i32 0, i64 %idx
  %l = load i8, ptr %gep.idx
  %gep.917 = getelementptr inbounds [2000 x i8], ptr %arr, i32 0, i32 917
  store i8 0, ptr %gep.917
  %gep.0 = getelementptr inbounds [2000 x i8], ptr %arr, i32 0, i32 0
  store i8 0, ptr %gep.0
  ret i8 %l
}

define i8 @mul_nsw_var_nonzero_minabsvarindex_one_index(ptr %arr, i8 %x, i64 %v) {
; CHECK-LABEL: Function: mul_nsw_var_nonzero_minabsvarindex_one_index: 4 pointers, 0 call sites
; CHECK-NEXT:  NoAlias: [2000 x i8]* %arr, i8* %gep.idx
; CHECK-NEXT:  PartialAlias (off 917): [2000 x i8]* %arr, i8* %gep.917
; CHECK-NEXT:  NoAlias: i8* %gep.917, i8* %gep.idx
; CHECK-NEXT:  MustAlias: [2000 x i8]* %arr, i8* %gep.0
; CHECK-NEXT:  NoAlias: i8* %gep.0, i8* %gep.idx
; CHECK-NEXT:  NoAlias: i8* %gep.0, i8* %gep.917
;
  load [2000 x i8], ptr %arr
  %or = or i64 %v, 1
  %idx = mul nsw i64 %or, 1844674407370955
  %gep.idx = getelementptr inbounds [2000 x i8], ptr %arr, i32 0, i64 %idx
  %l = load i8, ptr %gep.idx
  %gep.917 = getelementptr inbounds [2000 x i8], ptr %arr, i32 0, i32 917
  store i8 0, ptr %gep.917
  %gep.0 = getelementptr inbounds [2000 x i8], ptr %arr, i32 0, i32 0
  store i8 0, ptr %gep.0
  ret i8 %l
}

define i8 @test_pr72831_may_wrap(i64 %off) {
; CHECK-LABEL: Function: test_pr72831_may_wrap: 2 pointers, 0 call sites
; CHECK-NEXT:  MayAlias:    i8* %gep, i8* %p
entry:
  %p = alloca [2 x i8], align 1
  %ext = zext i1 false to i64
  %add.1 = add nuw nsw i64 %off, 1
  %add.2 = add nuw nsw i64 %add.1, %ext
  %idx = shl i64 %add.2, 32
  %gep = getelementptr inbounds [2 x i8], ptr %p, i64 0, i64 %idx
  store i8 0, ptr %gep, align 1
  %l = load i8, ptr %p, align 1
  ret i8 %l
}

define i8 @test_pr72831_no_wrap(i64 %off) {
; CHECK-LABEL: Function: test_pr72831_no_wrap: 2 pointers, 0 call sites
; CHECK-NEXT:  NoAlias:    i8* %gep, i8* %p
entry:
  %p = alloca [2 x i8], align 1
  %ext = zext i1 false to i64
  %add.1 = add nuw nsw i64 %off, 1
  %add.2 = add nuw nsw i64 %add.1, %ext
  %idx = shl nsw nuw i64 %add.2, 32
  %gep = getelementptr inbounds [2 x i8], ptr %p, i64 0, i64 %idx
  store i8 0, ptr %gep, align 1
  %l = load i8, ptr %p, align 1
  ret i8 %l
}

declare void @llvm.assume(i1)