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	For now, only apply the rule if either of arguments are constants. That would catch a lot of real user code, without slowing down the compiler with code generated for string comparison (experience in CL 410336). Updates #57959 Fixes #45928 Change-Id: Ie2e830d6d0d71cda3947818b22c2775bd94f7971 Reviewed-on: https://go-review.googlesource.com/c/go/+/483359 Auto-Submit: Cuong Manh Le <cuong.manhle.vn@gmail.com> Reviewed-by: Cherry Mui <cherryyz@google.com> Run-TryBot: Cuong Manh Le <cuong.manhle.vn@gmail.com> Reviewed-by: Keith Randall <khr@golang.org> TryBot-Result: Gopher Robot <gobot@golang.org> Reviewed-by: David Chase <drchase@google.com>
		
			
				
	
	
		
			1128 lines
		
	
	
	
		
			21 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
			
		
		
	
	
			1128 lines
		
	
	
	
		
			21 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
// errorcheck -0 -d=ssa/prove/debug=1
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 | 
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//go:build amd64
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// +build amd64
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// Copyright 2016 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package main
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import "math"
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func f0(a []int) int {
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	a[0] = 1
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	a[0] = 1 // ERROR "Proved IsInBounds$"
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	a[6] = 1
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	a[6] = 1 // ERROR "Proved IsInBounds$"
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	a[5] = 1 // ERROR "Proved IsInBounds$"
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	a[5] = 1 // ERROR "Proved IsInBounds$"
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	return 13
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}
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func f1(a []int) int {
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	if len(a) <= 5 {
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		return 18
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	}
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	a[0] = 1 // ERROR "Proved IsInBounds$"
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	a[0] = 1 // ERROR "Proved IsInBounds$"
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	a[6] = 1
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	a[6] = 1 // ERROR "Proved IsInBounds$"
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	a[5] = 1 // ERROR "Proved IsInBounds$"
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	a[5] = 1 // ERROR "Proved IsInBounds$"
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	return 26
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}
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func f1b(a []int, i int, j uint) int {
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	if i >= 0 && i < len(a) {
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		return a[i] // ERROR "Proved IsInBounds$"
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	}
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	if i >= 10 && i < len(a) {
 | 
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		return a[i] // ERROR "Proved IsInBounds$"
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	}
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	if i >= 10 && i < len(a) {
 | 
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		return a[i] // ERROR "Proved IsInBounds$"
 | 
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	}
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	if i >= 10 && i < len(a) {
 | 
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		return a[i-10] // ERROR "Proved IsInBounds$"
 | 
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	}
 | 
						||
	if j < uint(len(a)) {
 | 
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		return a[j] // ERROR "Proved IsInBounds$"
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	}
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	return 0
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}
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func f1c(a []int, i int64) int {
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	c := uint64(math.MaxInt64 + 10) // overflows int
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	d := int64(c)
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	if i >= d && i < int64(len(a)) {
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		// d overflows, should not be handled.
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		return a[i]
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	}
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	return 0
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}
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func f2(a []int) int {
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	for i := range a { // ERROR "Induction variable: limits \[0,\?\), increment 1$"
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		a[i+1] = i
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		a[i+1] = i // ERROR "Proved IsInBounds$"
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	}
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	return 34
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}
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func f3(a []uint) int {
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	for i := uint(0); i < uint(len(a)); i++ {
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		a[i] = i // ERROR "Proved IsInBounds$"
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	}
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	return 41
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}
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func f4a(a, b, c int) int {
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	if a < b {
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		if a == b { // ERROR "Disproved Eq64$"
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			return 47
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		}
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		if a > b { // ERROR "Disproved Less64$"
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			return 50
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		}
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		if a < b { // ERROR "Proved Less64$"
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			return 53
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		}
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		// We can't get to this point and prove knows that, so
 | 
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		// there's no message for the next (obvious) branch.
 | 
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		if a != a {
 | 
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			return 56
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		}
 | 
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		return 61
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	}
 | 
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	return 63
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}
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func f4b(a, b, c int) int {
 | 
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	if a <= b {
 | 
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		if a >= b {
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			if a == b { // ERROR "Proved Eq64$"
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				return 70
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			}
 | 
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			return 75
 | 
						||
		}
 | 
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		return 77
 | 
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	}
 | 
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	return 79
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}
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func f4c(a, b, c int) int {
 | 
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	if a <= b {
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		if a >= b {
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			if a != b { // ERROR "Disproved Neq64$"
 | 
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				return 73
 | 
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			}
 | 
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			return 75
 | 
						||
		}
 | 
						||
		return 77
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	}
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	return 79
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}
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func f4d(a, b, c int) int {
 | 
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	if a < b {
 | 
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		if a < c {
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			if a < b { // ERROR "Proved Less64$"
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				if a < c { // ERROR "Proved Less64$"
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					return 87
 | 
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				}
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				return 89
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						||
			}
 | 
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			return 91
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						||
		}
 | 
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		return 93
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	}
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	return 95
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}
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func f4e(a, b, c int) int {
 | 
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	if a < b {
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		if b > a { // ERROR "Proved Less64$"
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			return 101
 | 
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		}
 | 
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		return 103
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	}
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	return 105
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}
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func f4f(a, b, c int) int {
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	if a <= b {
 | 
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		if b > a {
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			if b == a { // ERROR "Disproved Eq64$"
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				return 112
 | 
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			}
 | 
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			return 114
 | 
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		}
 | 
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		if b >= a { // ERROR "Proved Leq64$"
 | 
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			if b == a { // ERROR "Proved Eq64$"
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				return 118
 | 
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			}
 | 
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			return 120
 | 
						||
		}
 | 
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		return 122
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	}
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	return 124
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}
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func f5(a, b uint) int {
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	if a == b {
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		if a <= b { // ERROR "Proved Leq64U$"
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			return 130
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		}
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		return 132
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	}
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	return 134
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}
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// These comparisons are compile time constants.
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func f6a(a uint8) int {
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	if a < a { // ERROR "Disproved Less8U$"
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		return 140
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	}
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	return 151
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}
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func f6b(a uint8) int {
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	if a < a { // ERROR "Disproved Less8U$"
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		return 140
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	}
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	return 151
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}
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func f6x(a uint8) int {
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	if a > a { // ERROR "Disproved Less8U$"
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		return 143
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	}
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	return 151
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}
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func f6d(a uint8) int {
 | 
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	if a <= a { // ERROR "Proved Leq8U$"
 | 
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		return 146
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	}
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	return 151
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}
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func f6e(a uint8) int {
 | 
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	if a >= a { // ERROR "Proved Leq8U$"
 | 
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		return 149
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	}
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	return 151
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}
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func f7(a []int, b int) int {
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	if b < len(a) {
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		a[b] = 3
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		if b < len(a) { // ERROR "Proved Less64$"
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			a[b] = 5 // ERROR "Proved IsInBounds$"
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		}
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	}
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	return 161
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}
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func f8(a, b uint) int {
 | 
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	if a == b {
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		return 166
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	}
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	if a > b {
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		return 169
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	}
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	if a < b { // ERROR "Proved Less64U$"
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		return 172
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	}
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	return 174
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}
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func f9(a, b bool) int {
 | 
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	if a {
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		return 1
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	}
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	if a || b { // ERROR "Disproved Arg$"
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		return 2
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	}
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	return 3
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}
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func f10(a string) int {
 | 
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	n := len(a)
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	// We optimize comparisons with small constant strings (see cmd/compile/internal/gc/walk.go),
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	// so this string literal must be long.
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	if a[:n>>1] == "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa" {
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		return 0
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	}
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	return 1
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}
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func f11a(a []int, i int) {
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	useInt(a[i])
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	useInt(a[i]) // ERROR "Proved IsInBounds$"
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}
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func f11b(a []int, i int) {
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	useSlice(a[i:])
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	useSlice(a[i:]) // ERROR "Proved IsSliceInBounds$"
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}
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func f11c(a []int, i int) {
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	useSlice(a[:i])
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	useSlice(a[:i]) // ERROR "Proved IsSliceInBounds$"
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}
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func f11d(a []int, i int) {
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	useInt(a[2*i+7])
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	useInt(a[2*i+7]) // ERROR "Proved IsInBounds$"
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}
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func f12(a []int, b int) {
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	useSlice(a[:b])
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}
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func f13a(a, b, c int, x bool) int {
 | 
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	if a > 12 {
 | 
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		if x {
 | 
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			if a < 12 { // ERROR "Disproved Less64$"
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				return 1
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			}
 | 
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		}
 | 
						||
		if x {
 | 
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			if a <= 12 { // ERROR "Disproved Leq64$"
 | 
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				return 2
 | 
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			}
 | 
						||
		}
 | 
						||
		if x {
 | 
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			if a == 12 { // ERROR "Disproved Eq64$"
 | 
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				return 3
 | 
						||
			}
 | 
						||
		}
 | 
						||
		if x {
 | 
						||
			if a >= 12 { // ERROR "Proved Leq64$"
 | 
						||
				return 4
 | 
						||
			}
 | 
						||
		}
 | 
						||
		if x {
 | 
						||
			if a > 12 { // ERROR "Proved Less64$"
 | 
						||
				return 5
 | 
						||
			}
 | 
						||
		}
 | 
						||
		return 6
 | 
						||
	}
 | 
						||
	return 0
 | 
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}
 | 
						||
 | 
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func f13b(a int, x bool) int {
 | 
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	if a == -9 {
 | 
						||
		if x {
 | 
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			if a < -9 { // ERROR "Disproved Less64$"
 | 
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				return 7
 | 
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			}
 | 
						||
		}
 | 
						||
		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$"
 | 
						||
			return 1
 | 
						||
		}
 | 
						||
	}
 | 
						||
	return 0
 | 
						||
}
 | 
						||
 | 
						||
func f13f(a int64) int64 {
 | 
						||
	if a > math.MaxInt64 {
 | 
						||
		if a == 0 { // ERROR "Disproved Eq64$"
 | 
						||
			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$"
 | 
						||
}
 | 
						||
 | 
						||
// oforuntil tests the pattern created by OFORUNTIL blocks. These are
 | 
						||
// handled by addLocalInductiveFacts rather than findIndVar.
 | 
						||
func oforuntil(b []int) {
 | 
						||
	i := 0
 | 
						||
	if len(b) > i {
 | 
						||
	top:
 | 
						||
		println(b[i]) // ERROR "Induction variable: limits \[0,\?\), increment 1$" "Proved IsInBounds$"
 | 
						||
		i++
 | 
						||
		if i < len(b) {
 | 
						||
			goto top
 | 
						||
		}
 | 
						||
	}
 | 
						||
}
 | 
						||
 | 
						||
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$"
 | 
						||
	}
 | 
						||
	if i == 1 {
 | 
						||
		x += a[i-1]
 | 
						||
	}
 | 
						||
	return x
 | 
						||
}
 | 
						||
 | 
						||
// Not an induction variable (step too large)
 | 
						||
func unrollExclStepTooLarge(a []int) int {
 | 
						||
	var i, x int
 | 
						||
	for i = 0; i < len(a)-1; i += 3 {
 | 
						||
		x += a[i]
 | 
						||
		x += a[i+1]
 | 
						||
	}
 | 
						||
	if i == len(a)-1 {
 | 
						||
		x += a[i]
 | 
						||
	}
 | 
						||
	return x
 | 
						||
}
 | 
						||
 | 
						||
// Not an induction variable (step too large)
 | 
						||
func unrollInclStepTooLarge(a []int) int {
 | 
						||
	var i, x int
 | 
						||
	for i = 0; i <= len(a)-2; i += 3 {
 | 
						||
		x += a[i]
 | 
						||
		x += a[i+1]
 | 
						||
	}
 | 
						||
	if i == len(a)-1 {
 | 
						||
		x += a[i]
 | 
						||
	}
 | 
						||
	return x
 | 
						||
}
 | 
						||
 | 
						||
// Not an induction variable (min too small, iterating down)
 | 
						||
func unrollDecMin(a []int) int {
 | 
						||
	var i, x int
 | 
						||
	for i = len(a); i >= math.MinInt64; i -= 2 {
 | 
						||
		x += a[i-1]
 | 
						||
		x += a[i-2]
 | 
						||
	}
 | 
						||
	if i == 1 { // ERROR "Disproved Eq64$"
 | 
						||
		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) int {
 | 
						||
	var i, x int
 | 
						||
	for i = len(a); i >= math.MinInt64; i += 2 {
 | 
						||
		x += a[i-1]
 | 
						||
		x += a[i-2]
 | 
						||
	}
 | 
						||
	if i == 1 { // ERROR "Disproved Eq64$"
 | 
						||
		x += a[i-1]
 | 
						||
	}
 | 
						||
	return x
 | 
						||
}
 | 
						||
 | 
						||
// The 4 xxxxExtNto64 functions below test whether prove is looking
 | 
						||
// through value-preserving sign/zero extensions of index values (issue #26292).
 | 
						||
 | 
						||
// Look through all extensions
 | 
						||
func signExtNto64(x []int, j8 int8, j16 int16, j32 int32) int {
 | 
						||
	if len(x) < 22 {
 | 
						||
		return 0
 | 
						||
	}
 | 
						||
	if j8 >= 0 && j8 < 22 {
 | 
						||
		return x[j8] // ERROR "Proved IsInBounds$"
 | 
						||
	}
 | 
						||
	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)
 | 
						||
}
 | 
						||
 | 
						||
//go:noinline
 | 
						||
func useInt(a int) {
 | 
						||
}
 | 
						||
 | 
						||
//go:noinline
 | 
						||
func useSlice(a []int) {
 | 
						||
}
 | 
						||
 | 
						||
func main() {
 | 
						||
}
 |