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go/test/prove.go

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// +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
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 14:28:58 -07:00
a[0] = 1 // ERROR "Proved IsInBounds$"
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 14:28:58 -07:00
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
}
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 14:28:58 -07:00
a[0] = 1 // ERROR "Proved IsInBounds$"
a[0] = 1 // ERROR "Proved IsInBounds$"
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 14:28:58 -07:00
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) {
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 14:28:58 -07:00
return a[i] // ERROR "Proved IsInBounds$"
}
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 14:28:58 -07:00
return a[i] // ERROR "Proved IsInBounds$"
}
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 14:28:58 -07:00
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 {
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 04:58:27 -07:00
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 14:28:58 -07:00
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
}
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 14:28:58 -07:00
if a < b { // ERROR "Proved Less64$"
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 14:28:58 -07:00
// We can't get to this point and prove knows that, so
// there's no message for the next (obvious) branch.
if a != a {
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 14:28:58 -07:00
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
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 14:28:58 -07:00
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
}
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 14:28:58 -07:00
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])
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 14:28:58 -07:00
useInt(a[i]) // ERROR "Proved IsInBounds$"
}
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 14:28:58 -07:00
useSlice(a[i:]) // ERROR "Proved IsSliceInBounds$"
}
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 14:28:58 -07:00
useSlice(a[:i]) // ERROR "Proved IsSliceInBounds$"
}
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 14:28:58 -07:00
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 {
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 14:28:58 -07:00
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 {
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 14:28:58 -07:00
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 {
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 14:28:58 -07:00
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$"
return 1
}
}
return 0
}
func f13f(a int64) int64 {
if a > math.MaxInt64 {
// Unreachable, but prove doesn't know that.
if a == 0 {
return 1
}
}
return 0
}
func f13g(a int) int {
if a < 3 {
return 5
}
if a > 3 {
return 6
}
if a == 3 { // ERROR "Proved Eq64$"
return 7
}
return 8
}
func f13h(a int) int {
if a < 3 {
if a > 1 {
if a == 2 { // ERROR "Proved Eq64$"
return 5
}
}
}
return 0
}
func f13i(a uint) int {
if a == 0 {
return 1
}
if a > 0 { // ERROR "Proved Greater64U$"
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])
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 14:28:58 -07:00
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 {
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 14:28:58 -07:00
return s[:10] // ERROR "Proved IsSliceInBounds$"
}
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 14:28:58 -07:00
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$"
}
}
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 14:28:58 -07:00
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.
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 14:28:58 -07:00
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
}
}
}
// fence14 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
}
}
}
//go:noinline
func useInt(a int) {
}
//go:noinline
func useSlice(a []int) {
}
func main() {
}