go/test/prove.go

// +build amd64
// errorcheck -0 -d=ssa/prove/debug=1

// 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$"
	}
	if i >= 10 && i < len(a) { // todo: handle this case
		return a[i-10]
	}
	if j < uint(len(a)) {
		return a[j] // ERROR "Proved IsInBounds$"
	}
	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 {
		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$"
			return 47
		}
		if a > b { // ERROR "Disproved Greater64$"
			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 Greater64$"
			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$"
				return 112
			}
			return 114
		}
		if b >= a { // ERROR "Proved Geq64$"
			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 Greater8U$"
		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 Geq8U$"
		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$"
				return 3
			}
		}
		if x {
			if a >= 12 { // ERROR "Proved Geq64$"
				return 4
			}
		}
		if x {
			if a > 12 { // ERROR "Proved Greater64$"
				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$"
				return 9
			}
		}
		if x {
			if a >= -9 { // ERROR "Proved Geq64$"
				return 10
			}
		}
		if x {
			if a > -9 { // ERROR "Disproved Greater64$"
				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$"
				return 15
			}
		}
		if x {
			if a >= 90 { // ERROR "Disproved Geq64$"
				return 16
			}
		}
		if x {
			if a > 90 { // ERROR "Disproved Greater64$"
				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 Greater64$"
			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 Greater64U$"
		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++ {
		useSlice(b[i:]) // Learns i <= len
		// 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 Greater64$"
		return
	}
	if y > uint(len(b)) { // ERROR "Disproved Greater64U$"
		return
	}
	if int(y) > len(b) { // ERROR "Disproved Greater64$"
		return
	}
}

func sm1(b []int, x int) {
	// Test constant argument to slicemask.
	useSlice(b[2:8]) // ERROR "Proved slicemask not needed$"
	// Test non-constant argument with known limits.
	if cap(b) > 10 {
		useSlice(b[2:]) // ERROR "Proved slicemask not needed$"
	}
}

func lim1(x, y, z int) {
	// Test relations between signed and unsigned limits.
	if x > 5 {
		if uint(x) > 5 { // ERROR "Proved Greater64U$"
			return
		}
	}
	if y >= 0 && y < 4 {
		if uint(y) > 4 { // ERROR "Disproved Greater64U$"
			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$"
			return
		}
	}
	if len(b) < cap(b) {
		// This eliminates the growslice path.
		b = append(b, 1) // ERROR "Disproved Greater64$"
	}
}

func fence2(x, y int) {
	if x-1 < y {
		if x > y { // ERROR "Disproved Greater64$"
			return
		}
	}
}

func fence3(b []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
		}
	}

	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 Greater64"
				return
			}
		} else if y == x {
			if y > 5 { // ERROR "Proved Greater64"
				return
			}
		}
	}
	if x >= 10 {
		if y > x {
			if y > 10 { // ERROR "Proved Greater64"
				return
			}
		}
	}
}

func trans2(a, b []int, i int) {
	if len(a) != len(b) {
		return
	}

	_ = a[i]
	_ = b[i] // ERROR "Proved IsInBounds$"
}

//go:noinline
func useInt(a int) {
}

//go:noinline
func useSlice(a []int) {
}

func main() {
}
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+								// +build amd64
-												cmd/compile: Repurpose old sliceopt.go for prove phase.

Adapt old test for prove's bounds check elimination.
Added missing rule to generic rules that lead to differences
between 32 and 64 bit platforms on sliceopt test.
Added debugging to prove.go that was helpful-to-necessary to
discover that missing rule.
Lowered debugging level on prove.go from 3 to 1; no idea
why it was previously 3.

Change-Id: I09de206aeb2fced9f2796efe2bfd4a59927eda0c
Reviewed-on: https://go-review.googlesource.com/23290
Run-TryBot: David Chase <drchase@google.com>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2016-10-19 15:47:52 +00:00
+								// errorcheck -0 -d=ssa/prove/debug=1
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
-												cmd/compile: transform some Phis into Or8.

func f(a, b bool) bool {
          return a || b
}

is now a single instructions (excluding loading and unloading the arguments):
      v10 = ORB <bool> v11 v12 : AX

Change-Id: Iff63399410cb46909f4318ea1c3f45a029f4aa5e
Reviewed-on: https://go-review.googlesource.com/21872
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Josh Bleecher Snyder <josharian@gmail.com>

											
										
										
											2016-04-12 16:24:34 +00:00
+								// 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.
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+								package main
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+								import "math"
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+								func f0(a []int) int {
 									a[0] = 1
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									a[0] = 1 // ERROR "Proved IsInBounds$"
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+									a[6] = 1
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									a[6] = 1 // ERROR "Proved IsInBounds$"
 									a[5] = 1 // ERROR "Proved IsInBounds$"
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+									a[5] = 1 // ERROR "Proved IsInBounds$"
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+									return 13
 								}
 								func f1(a []int) int {
 									if len(a) <= 5 {
 										return 18
 									}
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									a[0] = 1 // ERROR "Proved IsInBounds$"
 									a[0] = 1 // ERROR "Proved IsInBounds$"
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+									a[6] = 1
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									a[6] = 1 // ERROR "Proved IsInBounds$"
 									a[5] = 1 // ERROR "Proved IsInBounds$"
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+									a[5] = 1 // ERROR "Proved IsInBounds$"
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+									return 26
 								}
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+								func f1b(a []int, i int, j uint) int {
-												cmd/compile: handle non-negatives in prove

Handle this case:
if 0 <= i && i < len(a) {
        use a[i]
}

Shaves about 5k from pkg/tools/linux_amd64/*.

Change-Id: I6675ff49aa306b0d241b074c5738e448204cd981
Reviewed-on: https://go-review.googlesource.com/21431
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Brad Fitzpatrick <bradfitz@golang.org>

											
										
										
											2016-04-02 08:29:11 +00:00
+									if i >= 0 && i < len(a) {
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+										return a[i] // ERROR "Proved IsInBounds$"
-												cmd/compile: handle non-negatives in prove

Handle this case:
if 0 <= i && i < len(a) {
        use a[i]
}

Shaves about 5k from pkg/tools/linux_amd64/*.

Change-Id: I6675ff49aa306b0d241b074c5738e448204cd981
Reviewed-on: https://go-review.googlesource.com/21431
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Brad Fitzpatrick <bradfitz@golang.org>

											
										
										
											2016-04-02 08:29:11 +00:00
+									}
 									if i >= 10 && i < len(a) {
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+										return a[i] // ERROR "Proved IsInBounds$"
-												cmd/compile: handle non-negatives in prove

Handle this case:
if 0 <= i && i < len(a) {
        use a[i]
}

Shaves about 5k from pkg/tools/linux_amd64/*.

Change-Id: I6675ff49aa306b0d241b074c5738e448204cd981
Reviewed-on: https://go-review.googlesource.com/21431
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Brad Fitzpatrick <bradfitz@golang.org>

											
										
										
											2016-04-02 08:29:11 +00:00
+									}
 									if i >= 10 && i < len(a) {
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+										return a[i] // ERROR "Proved IsInBounds$"
-												cmd/compile: handle non-negatives in prove

Handle this case:
if 0 <= i && i < len(a) {
        use a[i]
}

Shaves about 5k from pkg/tools/linux_amd64/*.

Change-Id: I6675ff49aa306b0d241b074c5738e448204cd981
Reviewed-on: https://go-review.googlesource.com/21431
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Brad Fitzpatrick <bradfitz@golang.org>

											
										
										
											2016-04-02 08:29:11 +00:00
+									}
 									if i >= 10 && i < len(a) { // todo: handle this case
 										return a[i-10]
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+									}
 									if j < uint(len(a)) {
-												cmd/compile: handle non-negatives in prove

Handle this case:
if 0 <= i && i < len(a) {
        use a[i]
}

Shaves about 5k from pkg/tools/linux_amd64/*.

Change-Id: I6675ff49aa306b0d241b074c5738e448204cd981
Reviewed-on: https://go-review.googlesource.com/21431
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Brad Fitzpatrick <bradfitz@golang.org>

											
										
										
											2016-04-02 08:29:11 +00:00
+										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]
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+									}
 									return 0
 								}
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+								func f2(a []int) int {
 									for i := range a {
-												cmd/compile/internal/ssa: BCE for induction variables

There are 5293 loop in the main go repository.
A survey of the top most common for loops:

     18 for __k__ := 0; i < len(sa.Addr); i++ {
     19 for __k__ := 0; ; i++ {
     19 for __k__ := 0; i < 16; i++ {
     25 for __k__ := 0; i < length; i++ {
     30 for __k__ := 0; i < 8; i++ {
     49 for __k__ := 0; i < len(s); i++ {
     67 for __k__ := 0; i < n; i++ {
    376 for __k__ := range __slice__ {
    685 for __k__, __v__ := range __slice__ {
   2074 for __, __v__ := range __slice__ {

The algorithm to find induction variables handles all cases
with an upper limit. It currently doesn't find related induction
variables such as c * ind or c + ind.

842 out of 22954 bound checks are removed for src/make.bash.
1957 out of 42952 bounds checks are removed for src/all.bash.

Things to do in follow-up CLs:
* Find the associated pointer for `for _, v := range a {}`
* Drop the NilChecks on the pointer.
* Replace the implicit induction variable by a loop over the pointer

Generated garbage can be reduced if we share the sdom between passes.

% benchstat old.txt new.txt
name       old time/op     new time/op     delta
Template       337ms ± 3%      333ms ± 3%    ~             (p=0.258 n=9+9)
GoTypes        1.11s ± 2%      1.10s ± 2%    ~           (p=0.912 n=10+10)
Compiler       5.25s ± 1%      5.29s ± 2%    ~             (p=0.077 n=9+9)
MakeBash       33.5s ± 1%      34.1s ± 2%  +1.85%          (p=0.011 n=9+9)

name       old alloc/op    new alloc/op    delta
Template      63.6MB ± 0%     63.9MB ± 0%  +0.52%         (p=0.000 n=10+9)
GoTypes        218MB ± 0%      219MB ± 0%  +0.59%         (p=0.000 n=10+9)
Compiler       978MB ± 0%      985MB ± 0%  +0.69%        (p=0.000 n=10+10)

name       old allocs/op   new allocs/op   delta
Template        582k ± 0%       583k ± 0%  +0.10%        (p=0.000 n=10+10)
GoTypes        1.78M ± 0%      1.78M ± 0%  +0.12%        (p=0.000 n=10+10)
Compiler       7.68M ± 0%      7.69M ± 0%  +0.05%        (p=0.000 n=10+10)

name       old text-bytes  new text-bytes  delta
HelloSize       581k ± 0%       581k ± 0%  -0.08%        (p=0.000 n=10+10)
CmdGoSize      6.40M ± 0%      6.39M ± 0%  -0.08%        (p=0.000 n=10+10)

name       old data-bytes  new data-bytes  delta
HelloSize      3.66k ± 0%      3.66k ± 0%    ~     (all samples are equal)
CmdGoSize       134k ± 0%       134k ± 0%    ~     (all samples are equal)

name       old bss-bytes   new bss-bytes   delta
HelloSize       126k ± 0%       126k ± 0%    ~     (all samples are equal)
CmdGoSize       149k ± 0%       149k ± 0%    ~     (all samples are equal)

name       old exe-bytes   new exe-bytes   delta
HelloSize       947k ± 0%       946k ± 0%  -0.01%        (p=0.000 n=10+10)
CmdGoSize      9.92M ± 0%      9.91M ± 0%  -0.06%        (p=0.000 n=10+10)

Change-Id: Ie74bdff46fd602db41bb457333d3a762a0c3dc4d
Reviewed-on: https://go-review.googlesource.com/20517
Reviewed-by: David Chase <drchase@google.com>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-02 11:58:27 +00:00
+										a[i+1] = i
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+										a[i+1] = i // ERROR "Proved IsInBounds$"
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+									}
 									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 Greater64$"
 											return 50
 										}
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+										if a < b { // ERROR "Proved Less64$"
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+											return 53
 										}
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+										// We can't get to this point and prove knows that, so
 										// there's no message for the next (obvious) branch.
 										if a != a {
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+											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 {
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+											if a < b { // ERROR "Proved Less64$"
 												if a < c { // ERROR "Proved Less64$"
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+													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 Greater64$"
 											return 101
 										}
 										return 103
 									}
 									return 105
 								}
 								func f4f(a, b, c int) int {
 									if a <= b {
 										if b > a {
 											if b == a { // ERROR "Disproved Eq64$"
 												return 112
 											}
 											return 114
 										}
 										if b >= a { // ERROR "Proved Geq64$"
 											if b == a { // ERROR "Proved Eq64$"
 												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$"
 										return 140
 									}
 									return 151
 								}
 								func f6x(a uint8) int {
 									if a > a { // ERROR "Disproved Greater8U$"
 										return 143
 									}
 									return 151
 								}
 								func f6d(a uint8) int {
 									if a <= a { // ERROR "Proved Leq8U$"
 										return 146
 									}
 									return 151
 								}
 								func f6e(a uint8) int {
 									if a >= a { // ERROR "Proved Geq8U$"
 										return 149
 									}
 									return 151
 								}
 								func f7(a []int, b int) int {
 									if b < len(a) {
 										a[b] = 3
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+										if b < len(a) { // ERROR "Proved Less64$"
 											a[b] = 5 // ERROR "Proved IsInBounds$"
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+										}
 									}
 									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
 								}
-												cmd/compile/internal/ssa: generalize prove to all booleans

* Refacts a bit saving and restoring parents restrictions
* Shaves ~100k from pkg/tools/linux_amd64,
but most of the savings come from the rewrite rules.
* Improves on the following artificial test case:
func f1(a4 bool, a6 bool) bool {
  return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
}

Change-Id: I714000f75a37a3a6617c6e6834c75bd23674215f
Reviewed-on: https://go-review.googlesource.com/20306
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-03-07 17:36:16 +00:00
+								func f9(a, b bool) int {
 									if a {
 										return 1
 									}
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									if a || b { // ERROR "Disproved Arg$"
-												cmd/compile/internal/ssa: generalize prove to all booleans

* Refacts a bit saving and restoring parents restrictions
* Shaves ~100k from pkg/tools/linux_amd64,
but most of the savings come from the rewrite rules.
* Improves on the following artificial test case:
func f1(a4 bool, a6 bool) bool {
  return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
}

Change-Id: I714000f75a37a3a6617c6e6834c75bd23674215f
Reviewed-on: https://go-review.googlesource.com/20306
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-03-07 17:36:16 +00:00
+										return 2
 									}
 									return 3
 								}
 								func f10(a string) int {
 									n := len(a)
-												cmd/compile/internal/gc: improve comparison with constant strings

Currently we expand comparison with small constant strings into len check
and a sequence of byte comparisons. Generate 16/32/64-bit comparisons,
instead of bytewise on 386 and amd64. Also increase limits on what is
considered small constant string.
Shaves ~30kb (0.5%) from go executable.

This also updates test/prove.go to keep test case valid.

Change-Id: I99ae8871a1d00c96363c6d03d0b890782fa7e1d9
Reviewed-on: https://go-review.googlesource.com/38776
Run-TryBot: Ilya Tocar <ilya.tocar@intel.com>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Josh Bleecher Snyder <josharian@gmail.com>

											
										
										
											2017-03-28 20:30:31 +00:00
+									// 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" {
-												cmd/compile/internal/ssa: generalize prove to all booleans

* Refacts a bit saving and restoring parents restrictions
* Shaves ~100k from pkg/tools/linux_amd64,
but most of the savings come from the rewrite rules.
* Improves on the following artificial test case:
func f1(a4 bool, a6 bool) bool {
  return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
}

Change-Id: I714000f75a37a3a6617c6e6834c75bd23674215f
Reviewed-on: https://go-review.googlesource.com/20306
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-03-07 17:36:16 +00:00
+										return 0
 									}
 									return 1
 								}
 								func f11a(a []int, i int) {
 									useInt(a[i])
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									useInt(a[i]) // ERROR "Proved IsInBounds$"
-												cmd/compile/internal/ssa: generalize prove to all booleans

* Refacts a bit saving and restoring parents restrictions
* Shaves ~100k from pkg/tools/linux_amd64,
but most of the savings come from the rewrite rules.
* Improves on the following artificial test case:
func f1(a4 bool, a6 bool) bool {
  return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
}

Change-Id: I714000f75a37a3a6617c6e6834c75bd23674215f
Reviewed-on: https://go-review.googlesource.com/20306
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-03-07 17:36:16 +00:00
+								}
 								func f11b(a []int, i int) {
 									useSlice(a[i:])
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									useSlice(a[i:]) // ERROR "Proved IsSliceInBounds$"
-												cmd/compile/internal/ssa: generalize prove to all booleans

* Refacts a bit saving and restoring parents restrictions
* Shaves ~100k from pkg/tools/linux_amd64,
but most of the savings come from the rewrite rules.
* Improves on the following artificial test case:
func f1(a4 bool, a6 bool) bool {
  return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
}

Change-Id: I714000f75a37a3a6617c6e6834c75bd23674215f
Reviewed-on: https://go-review.googlesource.com/20306
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-03-07 17:36:16 +00:00
+								}
 								func f11c(a []int, i int) {
 									useSlice(a[:i])
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									useSlice(a[:i]) // ERROR "Proved IsSliceInBounds$"
-												cmd/compile/internal/ssa: generalize prove to all booleans

* Refacts a bit saving and restoring parents restrictions
* Shaves ~100k from pkg/tools/linux_amd64,
but most of the savings come from the rewrite rules.
* Improves on the following artificial test case:
func f1(a4 bool, a6 bool) bool {
  return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
}

Change-Id: I714000f75a37a3a6617c6e6834c75bd23674215f
Reviewed-on: https://go-review.googlesource.com/20306
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-03-07 17:36:16 +00:00
+								}
 								func f11d(a []int, i int) {
 									useInt(a[2*i+7])
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									useInt(a[2*i+7]) // ERROR "Proved IsInBounds$"
-												cmd/compile/internal/ssa: generalize prove to all booleans

* Refacts a bit saving and restoring parents restrictions
* Shaves ~100k from pkg/tools/linux_amd64,
but most of the savings come from the rewrite rules.
* Improves on the following artificial test case:
func f1(a4 bool, a6 bool) bool {
  return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
}

Change-Id: I714000f75a37a3a6617c6e6834c75bd23674215f
Reviewed-on: https://go-review.googlesource.com/20306
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-03-07 17:36:16 +00:00
+								}
 								func f12(a []int, b int) {
 									useSlice(a[:b])
 								}
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+								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$"
 												return 3
 											}
 										}
 										if x {
 											if a >= 12 { // ERROR "Proved Geq64$"
 												return 4
 											}
 										}
 										if x {
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+											if a > 12 { // ERROR "Proved Greater64$"
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+												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 {
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+											if a == -9 { // ERROR "Proved Eq64$"
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+												return 9
 											}
 										}
 										if x {
 											if a >= -9 { // ERROR "Proved Geq64$"
 												return 10
 											}
 										}
 										if x {
 											if a > -9 { // ERROR "Disproved Greater64$"
 												return 11
 											}
 										}
 										return 12
 									}
 									return 0
 								}
 								func f13c(a int, x bool) int {
 									if a < 90 {
 										if x {
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+											if a < 90 { // ERROR "Proved Less64$"
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+												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 Geq64$"
 												return 16
 											}
 										}
 										if x {
 											if a > 90 { // ERROR "Disproved Greater64$"
 												return 17
 											}
 										}
 										return 18
 									}
 									return 0
 								}
 								func f13d(a int) int {
 									if a < 5 {
 										if a < 9 { // ERROR "Proved Less64$"
 											return 1
 										}
 									}
 									return 0
 								}
 								func f13e(a int) int {
 									if a > 9 {
 										if a > 5 { // ERROR "Proved Greater64$"
 											return 1
 										}
 									}
 									return 0
 								}
 								func f13f(a int64) int64 {
 									if a > math.MaxInt64 {
-												cmd/compile: in prove, add transitive closure of relations

Implement it through a partial order datastructure, which
keeps the relations between SSA values in a forest of DAGs
and is able to discover contradictions.

In make.bash, this patch is able to prove hundreds of conditions
which were not proved before.

Compilebench:

name       old time/op       new time/op       delta
Template         371ms ± 2%        368ms ± 1%    ~     (p=0.222 n=5+5)
Unicode          203ms ± 6%        199ms ± 3%    ~     (p=0.421 n=5+5)
GoTypes          1.17s ± 4%        1.18s ± 1%    ~     (p=0.151 n=5+5)
Compiler         5.54s ± 2%        5.59s ± 1%    ~     (p=0.548 n=5+5)
SSA              12.9s ± 2%        13.2s ± 1%  +2.96%  (p=0.032 n=5+5)
Flate            245ms ± 2%        247ms ± 3%    ~     (p=0.690 n=5+5)
GoParser         302ms ± 6%        302ms ± 4%    ~     (p=0.548 n=5+5)
Reflect          764ms ± 4%        773ms ± 3%    ~     (p=0.095 n=5+5)
Tar              354ms ± 6%        361ms ± 3%    ~     (p=0.222 n=5+5)
XML              434ms ± 3%        429ms ± 1%    ~     (p=0.421 n=5+5)
StdCmd           22.6s ± 1%        22.9s ± 1%  +1.40%  (p=0.032 n=5+5)

name       old user-time/op  new user-time/op  delta
Template         436ms ± 8%        426ms ± 5%    ~     (p=0.579 n=5+5)
Unicode          219ms ±15%        219ms ±12%    ~     (p=1.000 n=5+5)
GoTypes          1.47s ± 6%        1.53s ± 6%    ~     (p=0.222 n=5+5)
Compiler         7.26s ± 4%        7.40s ± 2%    ~     (p=0.389 n=5+5)
SSA              17.7s ± 4%        18.5s ± 4%  +4.13%  (p=0.032 n=5+5)
Flate            257ms ± 5%        268ms ± 9%    ~     (p=0.333 n=5+5)
GoParser         354ms ± 6%        348ms ± 6%    ~     (p=0.913 n=5+5)
Reflect          904ms ± 2%        944ms ± 4%    ~     (p=0.056 n=5+5)
Tar              398ms ±11%        430ms ± 7%    ~     (p=0.079 n=5+5)
XML              501ms ± 7%        489ms ± 5%    ~     (p=0.444 n=5+5)

name       old text-bytes    new text-bytes    delta
HelloSize        670kB ± 0%        670kB ± 0%  +0.00%  (p=0.008 n=5+5)
CmdGoSize       7.22MB ± 0%       7.21MB ± 0%  -0.07%  (p=0.008 n=5+5)

name       old data-bytes    new data-bytes    delta
HelloSize       9.88kB ± 0%       9.88kB ± 0%    ~     (all equal)
CmdGoSize        248kB ± 0%        248kB ± 0%  -0.06%  (p=0.008 n=5+5)

name       old bss-bytes     new bss-bytes     delta
HelloSize        125kB ± 0%        125kB ± 0%    ~     (all equal)
CmdGoSize        145kB ± 0%        144kB ± 0%  -0.20%  (p=0.008 n=5+5)

name       old exe-bytes     new exe-bytes     delta
HelloSize       1.43MB ± 0%       1.43MB ± 0%    ~     (all equal)
CmdGoSize       14.5MB ± 0%       14.5MB ± 0%  -0.06%  (p=0.008 n=5+5)

Fixes #19714
Updates #20393

Change-Id: Ia090f5b5dc1bcd274ba8a39b233c1e1ace1b330e
Reviewed-on: https://go-review.googlesource.com/100277
Run-TryBot: Giovanni Bajo <rasky@develer.com>
Reviewed-by: David Chase <drchase@google.com>

											
										
										
											2018-04-15 21:53:08 +00:00
+										if a == 0 { // ERROR "Disproved Eq64$"
-												cmd/compile: extend prove pass to handle constant comparisons

Find comparisons to constants and propagate that information
down the dominator tree.  Use it to resolve other constant
comparisons on the same variable.

So if we know x >= 7, then a x > 4 condition must return true.

This change allows us to use "_ = b[7]" hints to eliminate bounds checks.

Fixes #14900

Change-Id: Idbf230bd5b7da43de3ecb48706e21cf01bf812f7
Reviewed-on: https://go-review.googlesource.com/21008
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2016-03-23 17:20:44 +00:00
+											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 Greater64U$"
 										return 2
 									}
 									return 3
 								}
-												cmd/compile: fix CSE with commutative ops

CSE opportunities were being missed for commutative ops. We used to
order the args of commutative ops (by arg ID) once at the start of CSE.
But that may not be enough.

i1 = (Load ptr mem)
i2 = (Load ptr mem)
x1 = (Add i1 j)
x2 = (Add i2 j)

Equivalent commutative ops x1 and x2 may not get their args ordered in
the same way because because at the start of CSE, we don't know that
the i values will be CSEd. If x1 and x2 get opposite orders we won't
CSE them.

Instead, (re)order the args of commutative operations by their
equivalence class IDs each time we partition an equivalence class.

Change-Id: Ic609fa83b85299782a5e85bf93dc6023fccf4b0c
Reviewed-on: https://go-review.googlesource.com/33632
Run-TryBot: Keith Randall <khr@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Todd Neal <todd@tneal.org>

											
										
										
											2016-11-27 18:41:37 +00:00
+								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])
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+									useInt(a[i2+j]) // ERROR "Proved IsInBounds$"
-												cmd/compile: fix CSE with commutative ops

CSE opportunities were being missed for commutative ops. We used to
order the args of commutative ops (by arg ID) once at the start of CSE.
But that may not be enough.

i1 = (Load ptr mem)
i2 = (Load ptr mem)
x1 = (Add i1 j)
x2 = (Add i2 j)

Equivalent commutative ops x1 and x2 may not get their args ordered in
the same way because because at the start of CSE, we don't know that
the i values will be CSEd. If x1 and x2 get opposite orders we won't
CSE them.

Instead, (re)order the args of commutative operations by their
equivalence class IDs each time we partition an equivalence class.

Change-Id: Ic609fa83b85299782a5e85bf93dc6023fccf4b0c
Reviewed-on: https://go-review.googlesource.com/33632
Run-TryBot: Keith Randall <khr@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Todd Neal <todd@tneal.org>

											
										
										
											2016-11-27 18:41:37 +00:00
+								}
-												cmd/compile: use len(s)<=cap(s) to remove more bounds checks

When we discover a relation x <= len(s), also discover the relation
x <= cap(s).  That way, in situations like:

a := s[x:]  // tests 0 <= x <= len(s)
b := s[:x]  // tests 0 <= x <= cap(s)

the second check can be eliminated.

Fixes #16813

Change-Id: Ifc037920b6955e43bac1a1eaf6bac63a89cfbd44
Reviewed-on: https://go-review.googlesource.com/33633
Run-TryBot: Keith Randall <khr@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>
Reviewed-by: David Chase <drchase@google.com>

											
										
										
											2016-11-27 19:43:08 +00:00
+								func f15(s []int, x int) {
 									useSlice(s[x:])
 									useSlice(s[:x]) // ERROR "Proved IsSliceInBounds$"
 								}
 								func f16(s []int) []int {
 									if len(s) >= 10 {
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+										return s[:10] // ERROR "Proved IsSliceInBounds$"
-												cmd/compile: use len(s)<=cap(s) to remove more bounds checks

When we discover a relation x <= len(s), also discover the relation
x <= cap(s).  That way, in situations like:

a := s[x:]  // tests 0 <= x <= len(s)
b := s[:x]  // tests 0 <= x <= cap(s)

the second check can be eliminated.

Fixes #16813

Change-Id: Ifc037920b6955e43bac1a1eaf6bac63a89cfbd44
Reviewed-on: https://go-review.googlesource.com/33633
Run-TryBot: Keith Randall <khr@golang.org>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>
Reviewed-by: David Chase <drchase@google.com>

											
										
										
											2016-11-27 19:43:08 +00:00
+									}
 									return nil
 								}
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+								func f17(b []int) {
 									for i := 0; i < len(b); i++ {
 										useSlice(b[i:]) // Learns i <= len
 										// 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$"
 									}
 								}
-												cmd/compile: in prove, complete support for OpIsInBounds/OpIsSliceInBounds

The logic in addBranchRestrictions didn't allow to correctly
model OpIs(Slice)Bound for signed domain, and it was also partly
implemented within addRestrictions.

Thanks to the previous changes, it is now possible to handle
the negative conditions correctly, so that we can learn
both signed/LT + unsigned/LT on the positive side, and
signed/GE + unsigned/GE on the negative side (but only if
the index can be proved to be non-negative).

This is able to prove ~50 more slice accesses in std+cmd.

Change-Id: I9858080dc03b16f85993a55983dbc4b00f8491b0
Reviewed-on: https://go-review.googlesource.com/104037
Run-TryBot: Giovanni Bajo <rasky@develer.com>
TryBot-Result: Gobot Gobot <gobot@golang.org>
Reviewed-by: Austin Clements <austin@google.com>

											
										
										
											2018-04-03 16:58:01 +00:00
+								func f18(b []int, x int, y uint) {
 									_ = b[x]
 									_ = b[y]
 									if x > len(b) { // ERROR "Disproved Greater64$"
 										return
 									}
 									if y > uint(len(b)) { // ERROR "Disproved Greater64U$"
 										return
 									}
 									if int(y) > len(b) { // ERROR "Disproved Greater64$"
 										return
 									}
 								}
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+								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.
-												cmd/compile: derive unsigned limits from signed limits in prove

This adds a few simple deductions to the prove pass' fact table to
derive unsigned concrete limits from signed concrete limits where
possible.

This tweak lets the pass prove 70 additional branch conditions in std
and cmd.

This is based on a comment from the recently-deleted factsTable.get:
"// TODO: also use signed data if lim.min >= 0".

Change-Id: Ib4340249e7733070f004a0aa31254adf5df8a392
Reviewed-on: https://go-review.googlesource.com/87479
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-11 19:23:01 +00:00
+									if cap(b) > 10 {
-												cmd/compile: make prove pass use unsatisfiability

Currently the prove pass uses implication queries. For each block, it
collects the set of branch conditions leading to that block, and
queries this fact table for whether any of these facts imply the
block's own branch condition (or its inverse). This works remarkably
well considering it doesn't do any deduction on these facts, but it
has various downsides:

1. It requires an implementation both of adding facts to the table and
   determining implications. These are very nearly duals of each
   other, but require separate implementations. Likewise, the process
   of asserting facts of dominating branch conditions is very nearly
   the dual of the process of querying implied branch conditions.

2. It leads to less effective use of derived facts. For example, the
   prove pass currently derives facts about the relations between len
   and cap, but can't make use of these unless a branch condition is
   in the exact form of a derived fact. If one of these derived facts
   contradicts another fact, it won't notice or make use of this.

This CL changes the approach of the prove pass to instead use
*contradiction* instead of implication. Rather than ever querying a
branch condition, it simply adds branch conditions to the fact table.
If this leads to a contradiction (specifically, it makes the fact set
unsatisfiable), that branch is impossible and can be cut. As a result,

1. We can eliminate the code for determining implications
   (factsTable.get disappears entirely). Also, there is now a single
   implementation of visiting and asserting branch conditions, since
   we don't have to flip them around to treat them as facts in one
   place and queries in another.

2. Derived facts can be used effectively. It doesn't matter *why* the
   fact table is unsatisfiable; a contradiction in any of the facts is
   enough.

3. As an added benefit, it's now quite easy to avoid traversing beyond
   provably-unreachable blocks. In contrast, the current
   implementation always visits all blocks.

The prove pass already has nearly all of the mechanism necessary to
compute unsatisfiability, which means this both simplifies the code
and makes it more powerful.

The only complication is that the current implication procedure has a
hack for dealing with the 0 <= Args[0] condition of OpIsInBounds and
OpIsSliceInBounds. We replace this with asserting the appropriate fact
when we process one of these conditions. This seems much cleaner
anyway, and works because we can now take advantage of derived facts.

This has no measurable effect on compiler performance.

Effectiveness:

There is exactly one condition in all of std and cmd that this fails
to prove that the old implementation could: (int64(^uint(0)>>1) < x)
in encoding/gob. This can never be true because x is an int, and it's
basically coincidence that the old code gets this. (For example, it
fails to prove the similar (x < ^int64(^uint(0)>>1)) condition that
immediately precedes it, and even though the conditions are logically
unrelated, it wouldn't get the second one if it hadn't first processed
the first!)

It does, however, prove a few dozen additional branches. These come
from facts that are added to the fact table about the relations
between len and cap. These were almost never queried directly before,
but could lead to contradictions, which the unsat-based approach is
able to use.

There are exactly two branches in std and cmd that this implementation
proves in the *other* direction. This sounds scary, but is okay
because both occur in already-unreachable blocks, so it doesn't matter
what we chose. Because the fact table logic is sound but incomplete,
it fails to prove that the block isn't reachable, even though it is
able to prove that both outgoing branches are impossible. We could
turn these blocks into BlockExit blocks, but it doesn't seem worth the
trouble of the extra proof effort for something that happens twice in
all of std and cmd.

Tests:

This CL updates test/prove.go to change the expected messages because
it can no longer give a "reason" why it proved or disproved a
condition. It also adds a new test of a branch it couldn't prove
before.

It mostly guts test/sliceopt.go, removing everything related to slice
bounds optimizations and moving a few relevant tests to test/prove.go.
Much of this test is actually unreachable. The new prove pass figures
this out and doesn't try to prove anything about the unreachable
parts. The output on the unreachable parts is already suspect because
anything can be proved at that point, so it's really just a regression
test for an algorithm the compiler no longer uses.

This is a step toward fixing #23354. That issue is quite easy to fix
once we can use derived facts effectively.

Change-Id: Ia48a1b9ee081310579fe474e4a61857424ff8ce8
Reviewed-on: https://go-review.googlesource.com/87478
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-10 21:28:58 +00:00
+										useSlice(b[2:]) // ERROR "Proved slicemask not needed$"
 									}
 								}
-												cmd/compile: derive unsigned limits from signed limits in prove

This adds a few simple deductions to the prove pass' fact table to
derive unsigned concrete limits from signed concrete limits where
possible.

This tweak lets the pass prove 70 additional branch conditions in std
and cmd.

This is based on a comment from the recently-deleted factsTable.get:
"// TODO: also use signed data if lim.min >= 0".

Change-Id: Ib4340249e7733070f004a0aa31254adf5df8a392
Reviewed-on: https://go-review.googlesource.com/87479
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>
Reviewed-by: Keith Randall <khr@golang.org>

											
										
										
											2018-01-11 19:23:01 +00:00
+								func lim1(x, y, z int) {
 									// Test relations between signed and unsigned limits.
 									if x > 5 {
 										if uint(x) > 5 { // ERROR "Proved Greater64U$"
 											return
 										}
 									}
 									if y >= 0 && y < 4 {
 										if uint(y) > 4 { // ERROR "Disproved Greater64U$"
 											return
 										}
 										if uint(y) < 5 { // ERROR "Proved Less64U$"
 											return
 										}
 									}
 									if z < 4 {
 										if uint(z) > 4 { // Not provable without disjunctions.
 											return
 										}
 									}
 								}
-												cmd/compile: add fence-post implications to prove

This adds four new deductions to the prove pass, all related to adding
or subtracting one from a value. This is the first hint of actual
arithmetic relations in the prove pass.

The most effective of these is

   x-1 >= w && x > min  ⇒  x > w

This helps eliminate bounds checks in code like

  if x > 0 {
    // do something with s[x-1]
  }

Altogether, these deductions prove an additional 260 branches in std
and cmd. Furthermore, they will let us eliminate some tricky
compiler-inserted panics in the runtime that are interfering with
static analysis.

Fixes #23354.

Change-Id: I7088223e0e0cd6ff062a75c127eb4bb60e6dce02
Reviewed-on: https://go-review.googlesource.com/87480
Reviewed-by: Keith Randall <khr@golang.org>
Reviewed-by: Alexandru Moșoi <alexandru@mosoi.ro>

											
										
										
											2018-01-11 21:32:02 +00:00
+								// 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$"
 											return
 										}
 									}
 									if len(b) < cap(b) {
 										// This eliminates the growslice path.
 										b = append(b, 1) // ERROR "Disproved Greater64$"
 									}
 								}
 								func fence2(x, y int) {
 									if x-1 < y {
 										if x > y { // ERROR "Disproved Greater64$"
 											return
 										}
 									}
 								}
 								func fence3(b []int, x, y int64) {
 									if x-1 >= y {
 										if x <= y { // Can't prove because x may have wrapped.
 											return
 										}
 									}
 									if x != math.MinInt64 && x-1 >= y {
 										if x <= y { // ERROR "Disproved Leq64$"
 											return
 										}
 									}
 									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
 										}
 									}
 								}
-												cmd/compile: in prove, add transitive closure of relations

Implement it through a partial order datastructure, which
keeps the relations between SSA values in a forest of DAGs
and is able to discover contradictions.

In make.bash, this patch is able to prove hundreds of conditions
which were not proved before.

Compilebench:

name       old time/op       new time/op       delta
Template         371ms ± 2%        368ms ± 1%    ~     (p=0.222 n=5+5)
Unicode          203ms ± 6%        199ms ± 3%    ~     (p=0.421 n=5+5)
GoTypes          1.17s ± 4%        1.18s ± 1%    ~     (p=0.151 n=5+5)
Compiler         5.54s ± 2%        5.59s ± 1%    ~     (p=0.548 n=5+5)
SSA              12.9s ± 2%        13.2s ± 1%  +2.96%  (p=0.032 n=5+5)
Flate            245ms ± 2%        247ms ± 3%    ~     (p=0.690 n=5+5)
GoParser         302ms ± 6%        302ms ± 4%    ~     (p=0.548 n=5+5)
Reflect          764ms ± 4%        773ms ± 3%    ~     (p=0.095 n=5+5)
Tar              354ms ± 6%        361ms ± 3%    ~     (p=0.222 n=5+5)
XML              434ms ± 3%        429ms ± 1%    ~     (p=0.421 n=5+5)
StdCmd           22.6s ± 1%        22.9s ± 1%  +1.40%  (p=0.032 n=5+5)

name       old user-time/op  new user-time/op  delta
Template         436ms ± 8%        426ms ± 5%    ~     (p=0.579 n=5+5)
Unicode          219ms ±15%        219ms ±12%    ~     (p=1.000 n=5+5)
GoTypes          1.47s ± 6%        1.53s ± 6%    ~     (p=0.222 n=5+5)
Compiler         7.26s ± 4%        7.40s ± 2%    ~     (p=0.389 n=5+5)
SSA              17.7s ± 4%        18.5s ± 4%  +4.13%  (p=0.032 n=5+5)
Flate            257ms ± 5%        268ms ± 9%    ~     (p=0.333 n=5+5)
GoParser         354ms ± 6%        348ms ± 6%    ~     (p=0.913 n=5+5)
Reflect          904ms ± 2%        944ms ± 4%    ~     (p=0.056 n=5+5)
Tar              398ms ±11%        430ms ± 7%    ~     (p=0.079 n=5+5)
XML              501ms ± 7%        489ms ± 5%    ~     (p=0.444 n=5+5)

name       old text-bytes    new text-bytes    delta
HelloSize        670kB ± 0%        670kB ± 0%  +0.00%  (p=0.008 n=5+5)
CmdGoSize       7.22MB ± 0%       7.21MB ± 0%  -0.07%  (p=0.008 n=5+5)

name       old data-bytes    new data-bytes    delta
HelloSize       9.88kB ± 0%       9.88kB ± 0%    ~     (all equal)
CmdGoSize        248kB ± 0%        248kB ± 0%  -0.06%  (p=0.008 n=5+5)

name       old bss-bytes     new bss-bytes     delta
HelloSize        125kB ± 0%        125kB ± 0%    ~     (all equal)
CmdGoSize        145kB ± 0%        144kB ± 0%  -0.20%  (p=0.008 n=5+5)

name       old exe-bytes     new exe-bytes     delta
HelloSize       1.43MB ± 0%       1.43MB ± 0%    ~     (all equal)
CmdGoSize       14.5MB ± 0%       14.5MB ± 0%  -0.06%  (p=0.008 n=5+5)

Fixes #19714
Updates #20393

Change-Id: Ia090f5b5dc1bcd274ba8a39b233c1e1ace1b330e
Reviewed-on: https://go-review.googlesource.com/100277
Run-TryBot: Giovanni Bajo <rasky@develer.com>
Reviewed-by: David Chase <drchase@google.com>

											
										
										
											2018-04-15 21:53:08 +00:00
+								// Check transitive relations
 								func trans1(x, y int64) {
 									if x > 5 {
 										if y > x {
 											if y > 2 { // ERROR "Proved Greater64"
 												return
 											}
 										} else if y == x {
 											if y > 5 { // ERROR "Proved Greater64"
 												return
 											}
 										}
 									}
 									if x >= 10 {
 										if y > x {
 											if y > 10 { // ERROR "Proved Greater64"
 												return
 											}
 										}
 									}
 								}
 								func trans2(a, b []int, i int) {
 									if len(a) != len(b) {
 										return
 									}
 									_ = a[i]
 									_ = b[i] // ERROR "Proved IsInBounds$"
 								}
-												cmd/compile/internal/ssa: generalize prove to all booleans

* Refacts a bit saving and restoring parents restrictions
* Shaves ~100k from pkg/tools/linux_amd64,
but most of the savings come from the rewrite rules.
* Improves on the following artificial test case:
func f1(a4 bool, a6 bool) bool {
  return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
}

Change-Id: I714000f75a37a3a6617c6e6834c75bd23674215f
Reviewed-on: https://go-review.googlesource.com/20306
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-03-07 17:36:16 +00:00
+								//go:noinline
 								func useInt(a int) {
 								}
 								//go:noinline
 								func useSlice(a []int) {
 								}
-												[dev.ssa] cmd/compile/internal/ssa: remove proven redundant controls.

* It does very simple bounds checking elimination. E.g.
removes the second check in for i := range a { a[i]++; a[i++]; }
* Improves on the following redundant expression:
return a6 || (a6 || (a6 || a4)) || (a6 || (a4 || a6 || (false || a6)))
* Linear in the number of block edges.

I patched in CL 12960 that does bounds, nil and constant propagation
to make sure this CL is not just redundant. Size of pkg/tool/linux_amd64/*
(excluding compile which is affected by this change):

With IsInBounds and IsSliceInBounds
-this -12960 92285080
+this -12960 91947416
-this +12960 91978976
+this +12960 91923088

Gain is ~110% of 12960.

Without IsInBounds and IsSliceInBounds (older run)
-this -12960 95515512
+this -12960 95492536
-this +12960 95216920
+this +12960 95204440

Shaves 22k on its own.

* Can we handle IsInBounds better with this? In
for i := range a { a[i]++; } the bounds checking at a[i]
is not eliminated.

Change-Id: I98957427399145fb33693173fd4d5a8d71c7cc20
Reviewed-on: https://go-review.googlesource.com/19710
Reviewed-by: David Chase <drchase@google.com>
Reviewed-by: Keith Randall <khr@golang.org>
Run-TryBot: Alexandru Moșoi <alexandru@mosoi.ro>
TryBot-Result: Gobot Gobot <gobot@golang.org>

											
										
										
											2016-02-19 11:14:42 +00:00
+								func main() {
 								}