mirror of
https://github.com/golang/go
synced 2024-11-25 09:17:57 -07:00
f32ec41df5
Move some code from when we learn that we take a branch, to when we learn that a boolean is true or false. It is more consistent this way (and may lead to a few more cases where we can derive useful relations). Change-Id: Iea7b2d6740e10c9c71c4b1546881f501da81cd21 Reviewed-on: https://go-review.googlesource.com/c/go/+/599098 LUCI-TryBot-Result: Go LUCI <golang-scoped@luci-project-accounts.iam.gserviceaccount.com> Reviewed-by: David Chase <drchase@google.com> Reviewed-by: Michael Knyszek <mknyszek@google.com>
1206 lines
22 KiB
Go
1206 lines
22 KiB
Go
// errorcheck -0 -d=ssa/prove/debug=1
|
||
|
||
//go:build amd64
|
||
|
||
// Copyright 2016 The Go Authors. All rights reserved.
|
||
// Use of this source code is governed by a BSD-style
|
||
// license that can be found in the LICENSE file.
|
||
|
||
package main
|
||
|
||
import "math"
|
||
|
||
func f0(a []int) int {
|
||
a[0] = 1
|
||
a[0] = 1 // ERROR "Proved IsInBounds$"
|
||
a[6] = 1
|
||
a[6] = 1 // ERROR "Proved IsInBounds$"
|
||
a[5] = 1 // ERROR "Proved IsInBounds$"
|
||
a[5] = 1 // ERROR "Proved IsInBounds$"
|
||
return 13
|
||
}
|
||
|
||
func f1(a []int) int {
|
||
if len(a) <= 5 {
|
||
return 18
|
||
}
|
||
a[0] = 1 // ERROR "Proved IsInBounds$"
|
||
a[0] = 1 // ERROR "Proved IsInBounds$"
|
||
a[6] = 1
|
||
a[6] = 1 // ERROR "Proved IsInBounds$"
|
||
a[5] = 1 // ERROR "Proved IsInBounds$"
|
||
a[5] = 1 // ERROR "Proved IsInBounds$"
|
||
return 26
|
||
}
|
||
|
||
func f1b(a []int, i int, j uint) int {
|
||
if i >= 0 && i < len(a) {
|
||
return a[i] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if i >= 10 && i < len(a) {
|
||
return a[i] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if i >= 10 && i < len(a) {
|
||
return a[i] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if i >= 10 && i < len(a) {
|
||
return a[i-10] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if j < uint(len(a)) {
|
||
return a[j] // ERROR "Proved IsInBounds$"
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f1c(a []int, i int64) int {
|
||
c := uint64(math.MaxInt64 + 10) // overflows int
|
||
d := int64(c)
|
||
if i >= d && i < int64(len(a)) {
|
||
// d overflows, should not be handled.
|
||
return a[i]
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f2(a []int) int {
|
||
for i := range a { // ERROR "Induction variable: limits \[0,\?\), increment 1$"
|
||
a[i+1] = i
|
||
a[i+1] = i // ERROR "Proved IsInBounds$"
|
||
}
|
||
return 34
|
||
}
|
||
|
||
func f3(a []uint) int {
|
||
for i := uint(0); i < uint(len(a)); i++ {
|
||
a[i] = i // ERROR "Proved IsInBounds$"
|
||
}
|
||
return 41
|
||
}
|
||
|
||
func f4a(a, b, c int) int {
|
||
if a < b {
|
||
if a == b { // ERROR "Disproved Eq64$"
|
||
return 47
|
||
}
|
||
if a > b { // ERROR "Disproved Less64$"
|
||
return 50
|
||
}
|
||
if a < b { // ERROR "Proved Less64$"
|
||
return 53
|
||
}
|
||
// We can't get to this point and prove knows that, so
|
||
// there's no message for the next (obvious) branch.
|
||
if a != a {
|
||
return 56
|
||
}
|
||
return 61
|
||
}
|
||
return 63
|
||
}
|
||
|
||
func f4b(a, b, c int) int {
|
||
if a <= b {
|
||
if a >= b {
|
||
if a == b { // ERROR "Proved Eq64$"
|
||
return 70
|
||
}
|
||
return 75
|
||
}
|
||
return 77
|
||
}
|
||
return 79
|
||
}
|
||
|
||
func f4c(a, b, c int) int {
|
||
if a <= b {
|
||
if a >= b {
|
||
if a != b { // ERROR "Disproved Neq64$"
|
||
return 73
|
||
}
|
||
return 75
|
||
}
|
||
return 77
|
||
}
|
||
return 79
|
||
}
|
||
|
||
func f4d(a, b, c int) int {
|
||
if a < b {
|
||
if a < c {
|
||
if a < b { // ERROR "Proved Less64$"
|
||
if a < c { // ERROR "Proved Less64$"
|
||
return 87
|
||
}
|
||
return 89
|
||
}
|
||
return 91
|
||
}
|
||
return 93
|
||
}
|
||
return 95
|
||
}
|
||
|
||
func f4e(a, b, c int) int {
|
||
if a < b {
|
||
if b > a { // ERROR "Proved Less64$"
|
||
return 101
|
||
}
|
||
return 103
|
||
}
|
||
return 105
|
||
}
|
||
|
||
func f4f(a, b, c int) int {
|
||
if a <= b {
|
||
if b > a {
|
||
if b == a { // ERROR "Disproved Eq64$"
|
||
return 112
|
||
}
|
||
return 114
|
||
}
|
||
if b >= a { // ERROR "Proved Leq64$"
|
||
if b == a { // ERROR "Proved Eq64$"
|
||
return 118
|
||
}
|
||
return 120
|
||
}
|
||
return 122
|
||
}
|
||
return 124
|
||
}
|
||
|
||
func f5(a, b uint) int {
|
||
if a == b {
|
||
if a <= b { // ERROR "Proved Leq64U$"
|
||
return 130
|
||
}
|
||
return 132
|
||
}
|
||
return 134
|
||
}
|
||
|
||
// These comparisons are compile time constants.
|
||
func f6a(a uint8) int {
|
||
if a < a { // ERROR "Disproved Less8U$"
|
||
return 140
|
||
}
|
||
return 151
|
||
}
|
||
|
||
func f6b(a uint8) int {
|
||
if a < a { // ERROR "Disproved Less8U$"
|
||
return 140
|
||
}
|
||
return 151
|
||
}
|
||
|
||
func f6x(a uint8) int {
|
||
if a > a { // ERROR "Disproved Less8U$"
|
||
return 143
|
||
}
|
||
return 151
|
||
}
|
||
|
||
func f6d(a uint8) int {
|
||
if a <= a { // ERROR "Proved Leq8U$"
|
||
return 146
|
||
}
|
||
return 151
|
||
}
|
||
|
||
func f6e(a uint8) int {
|
||
if a >= a { // ERROR "Proved Leq8U$"
|
||
return 149
|
||
}
|
||
return 151
|
||
}
|
||
|
||
func f7(a []int, b int) int {
|
||
if b < len(a) {
|
||
a[b] = 3
|
||
if b < len(a) { // ERROR "Proved Less64$"
|
||
a[b] = 5 // ERROR "Proved IsInBounds$"
|
||
}
|
||
}
|
||
return 161
|
||
}
|
||
|
||
func f8(a, b uint) int {
|
||
if a == b {
|
||
return 166
|
||
}
|
||
if a > b {
|
||
return 169
|
||
}
|
||
if a < b { // ERROR "Proved Less64U$"
|
||
return 172
|
||
}
|
||
return 174
|
||
}
|
||
|
||
func f9(a, b bool) int {
|
||
if a {
|
||
return 1
|
||
}
|
||
if a || b { // ERROR "Disproved Arg$"
|
||
return 2
|
||
}
|
||
return 3
|
||
}
|
||
|
||
func f10(a string) int {
|
||
n := len(a)
|
||
// We optimize comparisons with small constant strings (see cmd/compile/internal/gc/walk.go),
|
||
// so this string literal must be long.
|
||
if a[:n>>1] == "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" {
|
||
return 0
|
||
}
|
||
return 1
|
||
}
|
||
|
||
func f11a(a []int, i int) {
|
||
useInt(a[i])
|
||
useInt(a[i]) // ERROR "Proved IsInBounds$"
|
||
}
|
||
|
||
func f11b(a []int, i int) {
|
||
useSlice(a[i:])
|
||
useSlice(a[i:]) // ERROR "Proved IsSliceInBounds$"
|
||
}
|
||
|
||
func f11c(a []int, i int) {
|
||
useSlice(a[:i])
|
||
useSlice(a[:i]) // ERROR "Proved IsSliceInBounds$"
|
||
}
|
||
|
||
func f11d(a []int, i int) {
|
||
useInt(a[2*i+7])
|
||
useInt(a[2*i+7]) // ERROR "Proved IsInBounds$"
|
||
}
|
||
|
||
func f12(a []int, b int) {
|
||
useSlice(a[:b])
|
||
}
|
||
|
||
func f13a(a, b, c int, x bool) int {
|
||
if a > 12 {
|
||
if x {
|
||
if a < 12 { // ERROR "Disproved Less64$"
|
||
return 1
|
||
}
|
||
}
|
||
if x {
|
||
if a <= 12 { // ERROR "Disproved Leq64$"
|
||
return 2
|
||
}
|
||
}
|
||
if x {
|
||
if a == 12 { // ERROR "Disproved Eq64$"
|
||
return 3
|
||
}
|
||
}
|
||
if x {
|
||
if a >= 12 { // ERROR "Proved Leq64$"
|
||
return 4
|
||
}
|
||
}
|
||
if x {
|
||
if a > 12 { // ERROR "Proved Less64$"
|
||
return 5
|
||
}
|
||
}
|
||
return 6
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f13b(a int, x bool) int {
|
||
if a == -9 {
|
||
if x {
|
||
if a < -9 { // ERROR "Disproved Less64$"
|
||
return 7
|
||
}
|
||
}
|
||
if x {
|
||
if a <= -9 { // ERROR "Proved Leq64$"
|
||
return 8
|
||
}
|
||
}
|
||
if x {
|
||
if a == -9 { // ERROR "Proved Eq64$"
|
||
return 9
|
||
}
|
||
}
|
||
if x {
|
||
if a >= -9 { // ERROR "Proved Leq64$"
|
||
return 10
|
||
}
|
||
}
|
||
if x {
|
||
if a > -9 { // ERROR "Disproved Less64$"
|
||
return 11
|
||
}
|
||
}
|
||
return 12
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f13c(a int, x bool) int {
|
||
if a < 90 {
|
||
if x {
|
||
if a < 90 { // ERROR "Proved Less64$"
|
||
return 13
|
||
}
|
||
}
|
||
if x {
|
||
if a <= 90 { // ERROR "Proved Leq64$"
|
||
return 14
|
||
}
|
||
}
|
||
if x {
|
||
if a == 90 { // ERROR "Disproved Eq64$"
|
||
return 15
|
||
}
|
||
}
|
||
if x {
|
||
if a >= 90 { // ERROR "Disproved Leq64$"
|
||
return 16
|
||
}
|
||
}
|
||
if x {
|
||
if a > 90 { // ERROR "Disproved Less64$"
|
||
return 17
|
||
}
|
||
}
|
||
return 18
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f13d(a int) int {
|
||
if a < 5 {
|
||
if a < 9 { // ERROR "Proved Less64$"
|
||
return 1
|
||
}
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f13e(a int) int {
|
||
if a > 9 {
|
||
if a > 5 { // ERROR "Proved Less64$"
|
||
return 1
|
||
}
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f13f(a, b int64) int64 {
|
||
if b != math.MaxInt64 {
|
||
return 42
|
||
}
|
||
if a > b { // ERROR "Disproved Less64$"
|
||
if a == 0 {
|
||
return 1
|
||
}
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f13g(a int) int {
|
||
if a < 3 {
|
||
return 5
|
||
}
|
||
if a > 3 {
|
||
return 6
|
||
}
|
||
if a == 3 { // ERROR "Proved Eq64$"
|
||
return 7
|
||
}
|
||
return 8
|
||
}
|
||
|
||
func f13h(a int) int {
|
||
if a < 3 {
|
||
if a > 1 {
|
||
if a == 2 { // ERROR "Proved Eq64$"
|
||
return 5
|
||
}
|
||
}
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f13i(a uint) int {
|
||
if a == 0 {
|
||
return 1
|
||
}
|
||
if a > 0 { // ERROR "Proved Less64U$"
|
||
return 2
|
||
}
|
||
return 3
|
||
}
|
||
|
||
func f14(p, q *int, a []int) {
|
||
// This crazy ordering usually gives i1 the lowest value ID,
|
||
// j the middle value ID, and i2 the highest value ID.
|
||
// That used to confuse CSE because it ordered the args
|
||
// of the two + ops below differently.
|
||
// That in turn foiled bounds check elimination.
|
||
i1 := *p
|
||
j := *q
|
||
i2 := *p
|
||
useInt(a[i1+j])
|
||
useInt(a[i2+j]) // ERROR "Proved IsInBounds$"
|
||
}
|
||
|
||
func f15(s []int, x int) {
|
||
useSlice(s[x:])
|
||
useSlice(s[:x]) // ERROR "Proved IsSliceInBounds$"
|
||
}
|
||
|
||
func f16(s []int) []int {
|
||
if len(s) >= 10 {
|
||
return s[:10] // ERROR "Proved IsSliceInBounds$"
|
||
}
|
||
return nil
|
||
}
|
||
|
||
func f17(b []int) {
|
||
for i := 0; i < len(b); i++ { // ERROR "Induction variable: limits \[0,\?\), increment 1$"
|
||
// This tests for i <= cap, which we can only prove
|
||
// using the derived relation between len and cap.
|
||
// This depends on finding the contradiction, since we
|
||
// don't query this condition directly.
|
||
useSlice(b[:i]) // ERROR "Proved IsSliceInBounds$"
|
||
}
|
||
}
|
||
|
||
func f18(b []int, x int, y uint) {
|
||
_ = b[x]
|
||
_ = b[y]
|
||
|
||
if x > len(b) { // ERROR "Disproved Less64$"
|
||
return
|
||
}
|
||
if y > uint(len(b)) { // ERROR "Disproved Less64U$"
|
||
return
|
||
}
|
||
if int(y) > len(b) { // ERROR "Disproved Less64$"
|
||
return
|
||
}
|
||
}
|
||
|
||
func f19() (e int64, err error) {
|
||
// Issue 29502: slice[:0] is incorrectly disproved.
|
||
var stack []int64
|
||
stack = append(stack, 123)
|
||
if len(stack) > 1 {
|
||
panic("too many elements")
|
||
}
|
||
last := len(stack) - 1
|
||
e = stack[last]
|
||
// Buggy compiler prints "Disproved Leq64" for the next line.
|
||
stack = stack[:last]
|
||
return e, nil
|
||
}
|
||
|
||
func sm1(b []int, x int) {
|
||
// Test constant argument to slicemask.
|
||
useSlice(b[2:8]) // ERROR "Proved slicemask not needed$"
|
||
// Test non-constant argument with known limits.
|
||
if cap(b) > 10 {
|
||
useSlice(b[2:])
|
||
}
|
||
}
|
||
|
||
func lim1(x, y, z int) {
|
||
// Test relations between signed and unsigned limits.
|
||
if x > 5 {
|
||
if uint(x) > 5 { // ERROR "Proved Less64U$"
|
||
return
|
||
}
|
||
}
|
||
if y >= 0 && y < 4 {
|
||
if uint(y) > 4 { // ERROR "Disproved Less64U$"
|
||
return
|
||
}
|
||
if uint(y) < 5 { // ERROR "Proved Less64U$"
|
||
return
|
||
}
|
||
}
|
||
if z < 4 {
|
||
if uint(z) > 4 { // Not provable without disjunctions.
|
||
return
|
||
}
|
||
}
|
||
}
|
||
|
||
// fence1–4 correspond to the four fence-post implications.
|
||
|
||
func fence1(b []int, x, y int) {
|
||
// Test proofs that rely on fence-post implications.
|
||
if x+1 > y {
|
||
if x < y { // ERROR "Disproved Less64$"
|
||
return
|
||
}
|
||
}
|
||
if len(b) < cap(b) {
|
||
// This eliminates the growslice path.
|
||
b = append(b, 1) // ERROR "Disproved Less64U$"
|
||
}
|
||
}
|
||
|
||
func fence2(x, y int) {
|
||
if x-1 < y {
|
||
if x > y { // ERROR "Disproved Less64$"
|
||
return
|
||
}
|
||
}
|
||
}
|
||
|
||
func fence3(b, c []int, x, y int64) {
|
||
if x-1 >= y {
|
||
if x <= y { // Can't prove because x may have wrapped.
|
||
return
|
||
}
|
||
}
|
||
|
||
if x != math.MinInt64 && x-1 >= y {
|
||
if x <= y { // ERROR "Disproved Leq64$"
|
||
return
|
||
}
|
||
}
|
||
|
||
c[len(c)-1] = 0 // Can't prove because len(c) might be 0
|
||
|
||
if n := len(b); n > 0 {
|
||
b[n-1] = 0 // ERROR "Proved IsInBounds$"
|
||
}
|
||
}
|
||
|
||
func fence4(x, y int64) {
|
||
if x >= y+1 {
|
||
if x <= y {
|
||
return
|
||
}
|
||
}
|
||
if y != math.MaxInt64 && x >= y+1 {
|
||
if x <= y { // ERROR "Disproved Leq64$"
|
||
return
|
||
}
|
||
}
|
||
}
|
||
|
||
// Check transitive relations
|
||
func trans1(x, y int64) {
|
||
if x > 5 {
|
||
if y > x {
|
||
if y > 2 { // ERROR "Proved Less64$"
|
||
return
|
||
}
|
||
} else if y == x {
|
||
if y > 5 { // ERROR "Proved Less64$"
|
||
return
|
||
}
|
||
}
|
||
}
|
||
if x >= 10 {
|
||
if y > x {
|
||
if y > 10 { // ERROR "Proved Less64$"
|
||
return
|
||
}
|
||
}
|
||
}
|
||
}
|
||
|
||
func trans2(a, b []int, i int) {
|
||
if len(a) != len(b) {
|
||
return
|
||
}
|
||
|
||
_ = a[i]
|
||
_ = b[i] // ERROR "Proved IsInBounds$"
|
||
}
|
||
|
||
func trans3(a, b []int, i int) {
|
||
if len(a) > len(b) {
|
||
return
|
||
}
|
||
|
||
_ = a[i]
|
||
_ = b[i] // ERROR "Proved IsInBounds$"
|
||
}
|
||
|
||
func trans4(b []byte, x int) {
|
||
// Issue #42603: slice len/cap transitive relations.
|
||
switch x {
|
||
case 0:
|
||
if len(b) < 20 {
|
||
return
|
||
}
|
||
_ = b[:2] // ERROR "Proved IsSliceInBounds$"
|
||
case 1:
|
||
if len(b) < 40 {
|
||
return
|
||
}
|
||
_ = b[:2] // ERROR "Proved IsSliceInBounds$"
|
||
}
|
||
}
|
||
|
||
// Derived from nat.cmp
|
||
func natcmp(x, y []uint) (r int) {
|
||
m := len(x)
|
||
n := len(y)
|
||
if m != n || m == 0 {
|
||
return
|
||
}
|
||
|
||
i := m - 1
|
||
for i > 0 && // ERROR "Induction variable: limits \(0,\?\], increment 1$"
|
||
x[i] == // ERROR "Proved IsInBounds$"
|
||
y[i] { // ERROR "Proved IsInBounds$"
|
||
i--
|
||
}
|
||
|
||
switch {
|
||
case x[i] < // todo, cannot prove this because it's dominated by i<=0 || x[i]==y[i]
|
||
y[i]: // ERROR "Proved IsInBounds$"
|
||
r = -1
|
||
case x[i] > // ERROR "Proved IsInBounds$"
|
||
y[i]: // ERROR "Proved IsInBounds$"
|
||
r = 1
|
||
}
|
||
return
|
||
}
|
||
|
||
func suffix(s, suffix string) bool {
|
||
// todo, we're still not able to drop the bound check here in the general case
|
||
return len(s) >= len(suffix) && s[len(s)-len(suffix):] == suffix
|
||
}
|
||
|
||
func constsuffix(s string) bool {
|
||
return suffix(s, "abc") // ERROR "Proved IsSliceInBounds$"
|
||
}
|
||
|
||
func atexit(foobar []func()) {
|
||
for i := len(foobar) - 1; i >= 0; i-- { // ERROR "Induction variable: limits \[0,\?\], increment 1"
|
||
f := foobar[i]
|
||
foobar = foobar[:i] // ERROR "IsSliceInBounds"
|
||
f()
|
||
}
|
||
}
|
||
|
||
func make1(n int) []int {
|
||
s := make([]int, n)
|
||
for i := 0; i < n; i++ { // ERROR "Induction variable: limits \[0,\?\), increment 1"
|
||
s[i] = 1 // ERROR "Proved IsInBounds$"
|
||
}
|
||
return s
|
||
}
|
||
|
||
func make2(n int) []int {
|
||
s := make([]int, n)
|
||
for i := range s { // ERROR "Induction variable: limits \[0,\?\), increment 1"
|
||
s[i] = 1 // ERROR "Proved IsInBounds$"
|
||
}
|
||
return s
|
||
}
|
||
|
||
// The range tests below test the index variable of range loops.
|
||
|
||
// range1 compiles to the "efficiently indexable" form of a range loop.
|
||
func range1(b []int) {
|
||
for i, v := range b { // ERROR "Induction variable: limits \[0,\?\), increment 1$"
|
||
b[i] = v + 1 // ERROR "Proved IsInBounds$"
|
||
if i < len(b) { // ERROR "Proved Less64$"
|
||
println("x")
|
||
}
|
||
if i >= 0 { // ERROR "Proved Leq64$"
|
||
println("x")
|
||
}
|
||
}
|
||
}
|
||
|
||
// range2 elements are larger, so they use the general form of a range loop.
|
||
func range2(b [][32]int) {
|
||
for i, v := range b { // ERROR "Induction variable: limits \[0,\?\), increment 1$"
|
||
b[i][0] = v[0] + 1 // ERROR "Proved IsInBounds$"
|
||
if i < len(b) { // ERROR "Proved Less64$"
|
||
println("x")
|
||
}
|
||
if i >= 0 { // ERROR "Proved Leq64$"
|
||
println("x")
|
||
}
|
||
}
|
||
}
|
||
|
||
// signhint1-2 test whether the hint (int >= 0) is propagated into the loop.
|
||
func signHint1(i int, data []byte) {
|
||
if i >= 0 {
|
||
for i < len(data) { // ERROR "Induction variable: limits \[\?,\?\), increment 1$"
|
||
_ = data[i] // ERROR "Proved IsInBounds$"
|
||
i++
|
||
}
|
||
}
|
||
}
|
||
|
||
func signHint2(b []byte, n int) {
|
||
if n < 0 {
|
||
panic("")
|
||
}
|
||
_ = b[25]
|
||
for i := n; i <= 25; i++ { // ERROR "Induction variable: limits \[\?,25\], increment 1$"
|
||
b[i] = 123 // ERROR "Proved IsInBounds$"
|
||
}
|
||
}
|
||
|
||
// indexGT0 tests whether prove learns int index >= 0 from bounds check.
|
||
func indexGT0(b []byte, n int) {
|
||
_ = b[n]
|
||
_ = b[25]
|
||
|
||
for i := n; i <= 25; i++ { // ERROR "Induction variable: limits \[\?,25\], increment 1$"
|
||
b[i] = 123 // ERROR "Proved IsInBounds$"
|
||
}
|
||
}
|
||
|
||
// Induction variable in unrolled loop.
|
||
func unrollUpExcl(a []int) int {
|
||
var i, x int
|
||
for i = 0; i < len(a)-1; i += 2 { // ERROR "Induction variable: limits \[0,\?\), increment 2$"
|
||
x += a[i] // ERROR "Proved IsInBounds$"
|
||
x += a[i+1]
|
||
}
|
||
if i == len(a)-1 {
|
||
x += a[i]
|
||
}
|
||
return x
|
||
}
|
||
|
||
// Induction variable in unrolled loop.
|
||
func unrollUpIncl(a []int) int {
|
||
var i, x int
|
||
for i = 0; i <= len(a)-2; i += 2 { // ERROR "Induction variable: limits \[0,\?\], increment 2$"
|
||
x += a[i] // ERROR "Proved IsInBounds$"
|
||
x += a[i+1]
|
||
}
|
||
if i == len(a)-1 {
|
||
x += a[i]
|
||
}
|
||
return x
|
||
}
|
||
|
||
// Induction variable in unrolled loop.
|
||
func unrollDownExcl0(a []int) int {
|
||
var i, x int
|
||
for i = len(a) - 1; i > 0; i -= 2 { // ERROR "Induction variable: limits \(0,\?\], increment 2$"
|
||
x += a[i] // ERROR "Proved IsInBounds$"
|
||
x += a[i-1] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if i == 0 {
|
||
x += a[i]
|
||
}
|
||
return x
|
||
}
|
||
|
||
// Induction variable in unrolled loop.
|
||
func unrollDownExcl1(a []int) int {
|
||
var i, x int
|
||
for i = len(a) - 1; i >= 1; i -= 2 { // ERROR "Induction variable: limits \(0,\?\], increment 2$"
|
||
x += a[i] // ERROR "Proved IsInBounds$"
|
||
x += a[i-1] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if i == 0 {
|
||
x += a[i]
|
||
}
|
||
return x
|
||
}
|
||
|
||
// Induction variable in unrolled loop.
|
||
func unrollDownInclStep(a []int) int {
|
||
var i, x int
|
||
for i = len(a); i >= 2; i -= 2 { // ERROR "Induction variable: limits \[2,\?\], increment 2$"
|
||
x += a[i-1] // ERROR "Proved IsInBounds$"
|
||
x += a[i-2] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if i == 1 {
|
||
x += a[i-1]
|
||
}
|
||
return x
|
||
}
|
||
|
||
// Not an induction variable (step too large)
|
||
func unrollExclStepTooLarge(a []int) int {
|
||
var i, x int
|
||
for i = 0; i < len(a)-1; i += 3 {
|
||
x += a[i]
|
||
x += a[i+1]
|
||
}
|
||
if i == len(a)-1 {
|
||
x += a[i]
|
||
}
|
||
return x
|
||
}
|
||
|
||
// Not an induction variable (step too large)
|
||
func unrollInclStepTooLarge(a []int) int {
|
||
var i, x int
|
||
for i = 0; i <= len(a)-2; i += 3 {
|
||
x += a[i]
|
||
x += a[i+1]
|
||
}
|
||
if i == len(a)-1 {
|
||
x += a[i]
|
||
}
|
||
return x
|
||
}
|
||
|
||
// Not an induction variable (min too small, iterating down)
|
||
func unrollDecMin(a []int, b int) int {
|
||
if b != math.MinInt64 {
|
||
return 42
|
||
}
|
||
var i, x int
|
||
for i = len(a); i >= b; i -= 2 { // ERROR "Proved Leq64"
|
||
x += a[i-1]
|
||
x += a[i-2]
|
||
}
|
||
if i == 1 {
|
||
x += a[i-1]
|
||
}
|
||
return x
|
||
}
|
||
|
||
// Not an induction variable (min too small, iterating up -- perhaps could allow, but why bother?)
|
||
func unrollIncMin(a []int, b int) int {
|
||
if b != math.MinInt64 {
|
||
return 42
|
||
}
|
||
var i, x int
|
||
for i = len(a); i >= b; i += 2 { // ERROR "Proved Leq64"
|
||
x += a[i-1]
|
||
x += a[i-2]
|
||
}
|
||
if i == 1 {
|
||
x += a[i-1]
|
||
}
|
||
return x
|
||
}
|
||
|
||
// The 4 xxxxExtNto64 functions below test whether prove is looking
|
||
// through value-preserving sign/zero extensions of index values (issue #26292).
|
||
|
||
// Look through all extensions
|
||
func signExtNto64(x []int, j8 int8, j16 int16, j32 int32) int {
|
||
if len(x) < 22 {
|
||
return 0
|
||
}
|
||
if j8 >= 0 && j8 < 22 {
|
||
return x[j8] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if j16 >= 0 && j16 < 22 {
|
||
return x[j16] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if j32 >= 0 && j32 < 22 {
|
||
return x[j32] // ERROR "Proved IsInBounds$"
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func zeroExtNto64(x []int, j8 uint8, j16 uint16, j32 uint32) int {
|
||
if len(x) < 22 {
|
||
return 0
|
||
}
|
||
if j8 >= 0 && j8 < 22 {
|
||
return x[j8] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if j16 >= 0 && j16 < 22 {
|
||
return x[j16] // ERROR "Proved IsInBounds$"
|
||
}
|
||
if j32 >= 0 && j32 < 22 {
|
||
return x[j32] // ERROR "Proved IsInBounds$"
|
||
}
|
||
return 0
|
||
}
|
||
|
||
// Process fence-post implications through 32to64 extensions (issue #29964)
|
||
func signExt32to64Fence(x []int, j int32) int {
|
||
if x[j] != 0 {
|
||
return 1
|
||
}
|
||
if j > 0 && x[j-1] != 0 { // ERROR "Proved IsInBounds$"
|
||
return 1
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func zeroExt32to64Fence(x []int, j uint32) int {
|
||
if x[j] != 0 {
|
||
return 1
|
||
}
|
||
if j > 0 && x[j-1] != 0 { // ERROR "Proved IsInBounds$"
|
||
return 1
|
||
}
|
||
return 0
|
||
}
|
||
|
||
// Ensure that bounds checks with negative indexes are not incorrectly removed.
|
||
func negIndex() {
|
||
n := make([]int, 1)
|
||
for i := -1; i <= 0; i++ { // ERROR "Induction variable: limits \[-1,0\], increment 1$"
|
||
n[i] = 1
|
||
}
|
||
}
|
||
func negIndex2(n int) {
|
||
a := make([]int, 5)
|
||
b := make([]int, 5)
|
||
c := make([]int, 5)
|
||
for i := -1; i <= 0; i-- {
|
||
b[i] = i
|
||
n++
|
||
if n > 10 {
|
||
break
|
||
}
|
||
}
|
||
useSlice(a)
|
||
useSlice(c)
|
||
}
|
||
|
||
// Check that prove is zeroing these right shifts of positive ints by bit-width - 1.
|
||
// e.g (Rsh64x64 <t> n (Const64 <typ.UInt64> [63])) && ft.isNonNegative(n) -> 0
|
||
func sh64(n int64) int64 {
|
||
if n < 0 {
|
||
return n
|
||
}
|
||
return n >> 63 // ERROR "Proved Rsh64x64 shifts to zero"
|
||
}
|
||
|
||
func sh32(n int32) int32 {
|
||
if n < 0 {
|
||
return n
|
||
}
|
||
return n >> 31 // ERROR "Proved Rsh32x64 shifts to zero"
|
||
}
|
||
|
||
func sh32x64(n int32) int32 {
|
||
if n < 0 {
|
||
return n
|
||
}
|
||
return n >> uint64(31) // ERROR "Proved Rsh32x64 shifts to zero"
|
||
}
|
||
|
||
func sh16(n int16) int16 {
|
||
if n < 0 {
|
||
return n
|
||
}
|
||
return n >> 15 // ERROR "Proved Rsh16x64 shifts to zero"
|
||
}
|
||
|
||
func sh64noopt(n int64) int64 {
|
||
return n >> 63 // not optimized; n could be negative
|
||
}
|
||
|
||
// These cases are division of a positive signed integer by a power of 2.
|
||
// The opt pass doesnt have sufficient information to see that n is positive.
|
||
// So, instead, opt rewrites the division with a less-than-optimal replacement.
|
||
// Prove, which can see that n is nonnegative, cannot see the division because
|
||
// opt, an earlier pass, has already replaced it.
|
||
// The fix for this issue allows prove to zero a right shift that was added as
|
||
// part of the less-than-optimal reqwrite. That change by prove then allows
|
||
// lateopt to clean up all the unnecessary parts of the original division
|
||
// replacement. See issue #36159.
|
||
func divShiftClean(n int) int {
|
||
if n < 0 {
|
||
return n
|
||
}
|
||
return n / int(8) // ERROR "Proved Rsh64x64 shifts to zero"
|
||
}
|
||
|
||
func divShiftClean64(n int64) int64 {
|
||
if n < 0 {
|
||
return n
|
||
}
|
||
return n / int64(16) // ERROR "Proved Rsh64x64 shifts to zero"
|
||
}
|
||
|
||
func divShiftClean32(n int32) int32 {
|
||
if n < 0 {
|
||
return n
|
||
}
|
||
return n / int32(16) // ERROR "Proved Rsh32x64 shifts to zero"
|
||
}
|
||
|
||
// Bounds check elimination
|
||
|
||
func sliceBCE1(p []string, h uint) string {
|
||
if len(p) == 0 {
|
||
return ""
|
||
}
|
||
|
||
i := h & uint(len(p)-1)
|
||
return p[i] // ERROR "Proved IsInBounds$"
|
||
}
|
||
|
||
func sliceBCE2(p []string, h int) string {
|
||
if len(p) == 0 {
|
||
return ""
|
||
}
|
||
i := h & (len(p) - 1)
|
||
return p[i] // ERROR "Proved IsInBounds$"
|
||
}
|
||
|
||
func and(p []byte) ([]byte, []byte) { // issue #52563
|
||
const blocksize = 16
|
||
fullBlocks := len(p) &^ (blocksize - 1)
|
||
blk := p[:fullBlocks] // ERROR "Proved IsSliceInBounds$"
|
||
rem := p[fullBlocks:] // ERROR "Proved IsSliceInBounds$"
|
||
return blk, rem
|
||
}
|
||
|
||
func rshu(x, y uint) int {
|
||
z := x >> y
|
||
if z <= x { // ERROR "Proved Leq64U$"
|
||
return 1
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func divu(x, y uint) int {
|
||
z := x / y
|
||
if z <= x { // ERROR "Proved Leq64U$"
|
||
return 1
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func modu1(x, y uint) int {
|
||
z := x % y
|
||
if z < y { // ERROR "Proved Less64U$"
|
||
return 1
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func modu2(x, y uint) int {
|
||
z := x % y
|
||
if z <= x { // ERROR "Proved Leq64U$"
|
||
return 1
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func issue57077(s []int) (left, right []int) {
|
||
middle := len(s) / 2
|
||
left = s[:middle] // ERROR "Proved IsSliceInBounds$"
|
||
right = s[middle:] // ERROR "Proved IsSliceInBounds$"
|
||
return
|
||
}
|
||
|
||
func issue51622(b []byte) int {
|
||
if len(b) >= 3 && b[len(b)-3] == '#' { // ERROR "Proved IsInBounds$"
|
||
return len(b)
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func issue45928(x int) {
|
||
combinedFrac := x / (x | (1 << 31)) // ERROR "Proved Neq64$"
|
||
useInt(combinedFrac)
|
||
}
|
||
|
||
func constantBounds1(i, j uint) int {
|
||
var a [10]int
|
||
if j < 11 && i < j {
|
||
return a[i] // ERROR "Proved IsInBounds$"
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func constantBounds2(i, j uint) int {
|
||
var a [10]int
|
||
if i < j && j < 11 {
|
||
return a[i] // ERROR "Proved IsInBounds"
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func constantBounds3(i, j, k, l uint) int {
|
||
var a [8]int
|
||
if i < j && j < k && k < l && l < 11 {
|
||
return a[i] // ERROR "Proved IsInBounds"
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func equalityPropagation(a [1]int, i, j uint) int {
|
||
if i == j && i == 5 {
|
||
return a[j-5] // ERROR "Proved IsInBounds"
|
||
}
|
||
return 0
|
||
}
|
||
func inequalityPropagation(a [1]int, i, j uint) int {
|
||
if i != j && j >= 5 && j <= 6 && i == 5 {
|
||
return a[j-6] // ERROR "Proved IsInBounds"
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func issue66826a(a [21]byte) {
|
||
for i := 0; i <= 10; i++ { // ERROR "Induction variable: limits \[0,10\], increment 1$"
|
||
_ = a[2*i] // ERROR "Proved IsInBounds"
|
||
}
|
||
}
|
||
func issue66826b(a [31]byte, i int) {
|
||
if i < 0 || i > 10 {
|
||
return
|
||
}
|
||
_ = a[3*i] // ERROR "Proved IsInBounds"
|
||
}
|
||
|
||
func f20(a, b bool) int {
|
||
if a == b {
|
||
if a {
|
||
if b { // ERROR "Proved Arg"
|
||
return 1
|
||
}
|
||
}
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f21(a, b *int) int {
|
||
if a == b {
|
||
if a != nil {
|
||
if b != nil { // ERROR "Proved IsNonNil"
|
||
return 1
|
||
}
|
||
}
|
||
}
|
||
return 0
|
||
}
|
||
|
||
func f22(b bool, x, y int) int {
|
||
b2 := x < y
|
||
if b == b2 {
|
||
if b {
|
||
if x >= y { // ERROR "Disproved Leq64$"
|
||
return 1
|
||
}
|
||
}
|
||
}
|
||
return 0
|
||
}
|
||
|
||
//go:noinline
|
||
func useInt(a int) {
|
||
}
|
||
|
||
//go:noinline
|
||
func useSlice(a []int) {
|
||
}
|
||
|
||
func main() {
|
||
}
|