mirror of
https://github.com/golang/go
synced 2024-11-22 21:50:03 -07:00
da4687923b
Add the following common local transformations
(t + x) - (t + y) == x - y
(t + x) - (y + t) == x - y
(x + t) - (y + t) == x - y
(x + t) - (t + y) == x - y
(x - t) + (t + y) == x + y
(x - t) + (y + t) == x + y
The compiler itself matches such patterns many times. This also aligns with other popular compilers.
Fixes #59111
Change-Id: Ibdfdb414782f8fcaa20b84ac5d43d0d9ae2c7b60
GitHub-Last-Rev: 1aad82e62e
GitHub-Pull-Request: golang/go#59119
Reviewed-on: https://go-review.googlesource.com/c/go/+/477555
Reviewed-by: Keith Randall <khr@golang.org>
Reviewed-by: Heschi Kreinick <heschi@google.com>
Auto-Submit: Keith Randall <khr@golang.org>
Reviewed-by: Keith Randall <khr@google.com>
TryBot-Result: Gopher Robot <gobot@golang.org>
Run-TryBot: Keith Randall <khr@golang.org>
591 lines
14 KiB
Go
591 lines
14 KiB
Go
// asmcheck
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// Copyright 2018 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package codegen
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// This file contains codegen tests related to arithmetic
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// simplifications and optimizations on integer types.
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// For codegen tests on float types, see floats.go.
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// ----------------- //
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// Subtraction //
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// ----------------- //
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var ef int
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func SubMem(arr []int, b, c, d int) int {
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// 386:`SUBL\s[A-Z]+,\s8\([A-Z]+\)`
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// amd64:`SUBQ\s[A-Z]+,\s16\([A-Z]+\)`
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arr[2] -= b
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// 386:`SUBL\s[A-Z]+,\s12\([A-Z]+\)`
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// amd64:`SUBQ\s[A-Z]+,\s24\([A-Z]+\)`
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arr[3] -= b
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// 386:`DECL\s16\([A-Z]+\)`
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arr[4]--
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// 386:`ADDL\s[$]-20,\s20\([A-Z]+\)`
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arr[5] -= 20
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// 386:`SUBL\s\([A-Z]+\)\([A-Z]+\*4\),\s[A-Z]+`
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ef -= arr[b]
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// 386:`SUBL\s[A-Z]+,\s\([A-Z]+\)\([A-Z]+\*4\)`
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arr[c] -= b
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// 386:`ADDL\s[$]-15,\s\([A-Z]+\)\([A-Z]+\*4\)`
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arr[d] -= 15
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// 386:`DECL\s\([A-Z]+\)\([A-Z]+\*4\)`
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arr[b]--
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// amd64:`DECQ\s64\([A-Z]+\)`
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arr[8]--
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// 386:"SUBL\t4"
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// amd64:"SUBQ\t8"
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return arr[0] - arr[1]
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}
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func SubFromConst(a int) int {
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// ppc64x: `SUBC\tR[0-9]+,\s[$]40,\sR`
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b := 40 - a
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return b
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}
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func SubFromConstNeg(a int) int {
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// ppc64x: `ADD\t[$]40,\sR[0-9]+,\sR`
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c := 40 - (-a)
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return c
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}
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func SubSubFromConst(a int) int {
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// ppc64x: `ADD\t[$]20,\sR[0-9]+,\sR`
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c := 40 - (20 - a)
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return c
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}
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func AddSubFromConst(a int) int {
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// ppc64x: `SUBC\tR[0-9]+,\s[$]60,\sR`
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c := 40 + (20 - a)
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return c
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}
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func NegSubFromConst(a int) int {
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// ppc64x: `ADD\t[$]-20,\sR[0-9]+,\sR`
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c := -(20 - a)
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return c
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}
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func NegAddFromConstNeg(a int) int {
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// ppc64x: `SUBC\tR[0-9]+,\s[$]40,\sR`
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c := -(-40 + a)
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return c
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}
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func SubSubNegSimplify(a, b int) int {
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// amd64:"NEGQ"
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// ppc64x:"NEG"
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r := (a - b) - a
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return r
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}
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func SubAddSimplify(a, b int) int {
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// amd64:-"SUBQ",-"ADDQ"
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// ppc64x:-"SUB",-"ADD"
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r := a + (b - a)
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return r
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}
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func SubAddSimplify2(a, b, c int) (int, int, int, int, int, int) {
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// amd64:-"ADDQ"
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r := (a + b) - (a + c)
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// amd64:-"ADDQ"
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r1 := (a + b) - (c + a)
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// amd64:-"ADDQ"
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r2 := (b + a) - (a + c)
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// amd64:-"ADDQ"
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r3 := (b + a) - (c + a)
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// amd64:-"SUBQ"
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r4 := (a - c) + (c + b)
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// amd64:-"SUBQ"
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r5 := (a - c) + (b + c)
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return r, r1, r2, r3, r4, r5
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}
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func SubAddNegSimplify(a, b int) int {
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// amd64:"NEGQ",-"ADDQ",-"SUBQ"
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// ppc64x:"NEG",-"ADD",-"SUB"
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r := a - (b + a)
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return r
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}
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func AddAddSubSimplify(a, b, c int) int {
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// amd64:-"SUBQ"
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// ppc64x:-"SUB"
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r := a + (b + (c - a))
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return r
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}
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// -------------------- //
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// Multiplication //
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// -------------------- //
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func Pow2Muls(n1, n2 int) (int, int) {
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// amd64:"SHLQ\t[$]5",-"IMULQ"
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// 386:"SHLL\t[$]5",-"IMULL"
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// arm:"SLL\t[$]5",-"MUL"
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// arm64:"LSL\t[$]5",-"MUL"
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// ppc64x:"SLD\t[$]5",-"MUL"
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a := n1 * 32
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// amd64:"SHLQ\t[$]6",-"IMULQ"
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// 386:"SHLL\t[$]6",-"IMULL"
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// arm:"SLL\t[$]6",-"MUL"
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// arm64:`NEG\sR[0-9]+<<6,\sR[0-9]+`,-`LSL`,-`MUL`
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// ppc64x:"SLD\t[$]6","NEG\\sR[0-9]+,\\sR[0-9]+",-"MUL"
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b := -64 * n2
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return a, b
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}
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func Mul_96(n int) int {
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// amd64:`SHLQ\t[$]5`,`LEAQ\t\(.*\)\(.*\*2\),`,-`IMULQ`
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// 386:`SHLL\t[$]5`,`LEAL\t\(.*\)\(.*\*2\),`,-`IMULL`
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// arm64:`LSL\t[$]5`,`ADD\sR[0-9]+<<1,\sR[0-9]+`,-`MUL`
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// arm:`SLL\t[$]5`,`ADD\sR[0-9]+<<1,\sR[0-9]+`,-`MUL`
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// s390x:`SLD\t[$]5`,`SLD\t[$]6`,-`MULLD`
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return n * 96
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}
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func Mul_n120(n int) int {
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// s390x:`SLD\t[$]3`,`SLD\t[$]7`,-`MULLD`
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return n * -120
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}
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func MulMemSrc(a []uint32, b []float32) {
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// 386:`IMULL\s4\([A-Z]+\),\s[A-Z]+`
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a[0] *= a[1]
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// 386/sse2:`MULSS\s4\([A-Z]+\),\sX[0-9]+`
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// amd64:`MULSS\s4\([A-Z]+\),\sX[0-9]+`
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b[0] *= b[1]
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}
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// Multiplications merging tests
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func MergeMuls1(n int) int {
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// amd64:"IMUL3Q\t[$]46"
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// 386:"IMUL3L\t[$]46"
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// ppc64x:"MULLD\t[$]46"
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return 15*n + 31*n // 46n
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}
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func MergeMuls2(n int) int {
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// amd64:"IMUL3Q\t[$]23","(ADDQ\t[$]29)|(LEAQ\t29)"
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// 386:"IMUL3L\t[$]23","ADDL\t[$]29"
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// ppc64x/power9:"MADDLD",-"MULLD\t[$]23",-"ADD\t[$]29"
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// ppc64x/power8:"MULLD\t[$]23","ADD\t[$]29"
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return 5*n + 7*(n+1) + 11*(n+2) // 23n + 29
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}
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func MergeMuls3(a, n int) int {
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// amd64:"ADDQ\t[$]19",-"IMULQ\t[$]19"
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// 386:"ADDL\t[$]19",-"IMULL\t[$]19"
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// ppc64x:"ADD\t[$]19",-"MULLD\t[$]19"
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return a*n + 19*n // (a+19)n
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}
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func MergeMuls4(n int) int {
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// amd64:"IMUL3Q\t[$]14"
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// 386:"IMUL3L\t[$]14"
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// ppc64x:"MULLD\t[$]14"
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return 23*n - 9*n // 14n
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}
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func MergeMuls5(a, n int) int {
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// amd64:"ADDQ\t[$]-19",-"IMULQ\t[$]19"
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// 386:"ADDL\t[$]-19",-"IMULL\t[$]19"
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// ppc64x:"ADD\t[$]-19",-"MULLD\t[$]19"
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return a*n - 19*n // (a-19)n
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}
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// -------------- //
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// Division //
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// -------------- //
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func DivMemSrc(a []float64) {
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// 386/sse2:`DIVSD\s8\([A-Z]+\),\sX[0-9]+`
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// amd64:`DIVSD\s8\([A-Z]+\),\sX[0-9]+`
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a[0] /= a[1]
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}
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func Pow2Divs(n1 uint, n2 int) (uint, int) {
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// 386:"SHRL\t[$]5",-"DIVL"
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// amd64:"SHRQ\t[$]5",-"DIVQ"
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// arm:"SRL\t[$]5",-".*udiv"
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// arm64:"LSR\t[$]5",-"UDIV"
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// ppc64x:"SRD"
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a := n1 / 32 // unsigned
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// amd64:"SARQ\t[$]6",-"IDIVQ"
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// 386:"SARL\t[$]6",-"IDIVL"
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// arm:"SRA\t[$]6",-".*udiv"
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// arm64:"ASR\t[$]6",-"SDIV"
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// ppc64x:"SRAD"
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b := n2 / 64 // signed
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return a, b
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}
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// Check that constant divisions get turned into MULs
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func ConstDivs(n1 uint, n2 int) (uint, int) {
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// amd64:"MOVQ\t[$]-1085102592571150095","MULQ",-"DIVQ"
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// 386:"MOVL\t[$]-252645135","MULL",-"DIVL"
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// arm64:`MOVD`,`UMULH`,-`DIV`
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// arm:`MOVW`,`MUL`,-`.*udiv`
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a := n1 / 17 // unsigned
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// amd64:"MOVQ\t[$]-1085102592571150095","IMULQ",-"IDIVQ"
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// 386:"MOVL\t[$]-252645135","IMULL",-"IDIVL"
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// arm64:`SMULH`,-`DIV`
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// arm:`MOVW`,`MUL`,-`.*udiv`
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b := n2 / 17 // signed
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return a, b
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}
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func FloatDivs(a []float32) float32 {
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// amd64:`DIVSS\s8\([A-Z]+\),\sX[0-9]+`
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// 386/sse2:`DIVSS\s8\([A-Z]+\),\sX[0-9]+`
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return a[1] / a[2]
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}
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func Pow2Mods(n1 uint, n2 int) (uint, int) {
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// 386:"ANDL\t[$]31",-"DIVL"
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// amd64:"ANDL\t[$]31",-"DIVQ"
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// arm:"AND\t[$]31",-".*udiv"
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// arm64:"AND\t[$]31",-"UDIV"
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// ppc64x:"ANDCC\t[$]31"
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a := n1 % 32 // unsigned
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// 386:"SHRL",-"IDIVL"
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// amd64:"SHRQ",-"IDIVQ"
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// arm:"SRA",-".*udiv"
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// arm64:"ASR",-"REM"
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// ppc64x:"SRAD"
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b := n2 % 64 // signed
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return a, b
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}
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// Check that signed divisibility checks get converted to AND on low bits
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func Pow2DivisibleSigned(n1, n2 int) (bool, bool) {
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// 386:"TESTL\t[$]63",-"DIVL",-"SHRL"
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// amd64:"TESTQ\t[$]63",-"DIVQ",-"SHRQ"
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// arm:"AND\t[$]63",-".*udiv",-"SRA"
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// arm64:"TST\t[$]63",-"UDIV",-"ASR",-"AND"
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// ppc64x:"ANDCC\t[$]63",-"SRAD"
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a := n1%64 == 0 // signed divisible
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// 386:"TESTL\t[$]63",-"DIVL",-"SHRL"
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// amd64:"TESTQ\t[$]63",-"DIVQ",-"SHRQ"
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// arm:"AND\t[$]63",-".*udiv",-"SRA"
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// arm64:"TST\t[$]63",-"UDIV",-"ASR",-"AND"
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// ppc64x:"ANDCC\t[$]63",-"SRAD"
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b := n2%64 != 0 // signed indivisible
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return a, b
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}
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// Check that constant modulo divs get turned into MULs
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func ConstMods(n1 uint, n2 int) (uint, int) {
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// amd64:"MOVQ\t[$]-1085102592571150095","MULQ",-"DIVQ"
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// 386:"MOVL\t[$]-252645135","MULL",-"DIVL"
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// arm64:`MOVD`,`UMULH`,-`DIV`
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// arm:`MOVW`,`MUL`,-`.*udiv`
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a := n1 % 17 // unsigned
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// amd64:"MOVQ\t[$]-1085102592571150095","IMULQ",-"IDIVQ"
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// 386:"MOVL\t[$]-252645135","IMULL",-"IDIVL"
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// arm64:`SMULH`,-`DIV`
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// arm:`MOVW`,`MUL`,-`.*udiv`
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b := n2 % 17 // signed
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return a, b
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}
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// Check that divisibility checks x%c==0 are converted to MULs and rotates
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func DivisibleU(n uint) (bool, bool) {
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// amd64:"MOVQ\t[$]-6148914691236517205","IMULQ","ROLQ\t[$]63",-"DIVQ"
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// 386:"IMUL3L\t[$]-1431655765","ROLL\t[$]31",-"DIVQ"
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// arm64:"MOVD\t[$]-6148914691236517205","MOVD\t[$]3074457345618258602","MUL","ROR",-"DIV"
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// arm:"MUL","CMP\t[$]715827882",-".*udiv"
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// ppc64x:"MULLD","ROTL\t[$]63"
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even := n%6 == 0
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// amd64:"MOVQ\t[$]-8737931403336103397","IMULQ",-"ROLQ",-"DIVQ"
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// 386:"IMUL3L\t[$]678152731",-"ROLL",-"DIVQ"
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// arm64:"MOVD\t[$]-8737931403336103397","MUL",-"ROR",-"DIV"
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// arm:"MUL","CMP\t[$]226050910",-".*udiv"
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// ppc64x:"MULLD",-"ROTL"
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odd := n%19 == 0
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return even, odd
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}
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func Divisible(n int) (bool, bool) {
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// amd64:"IMULQ","ADD","ROLQ\t[$]63",-"DIVQ"
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// 386:"IMUL3L\t[$]-1431655765","ADDL\t[$]715827882","ROLL\t[$]31",-"DIVQ"
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// arm64:"MOVD\t[$]-6148914691236517205","MOVD\t[$]3074457345618258602","MUL","ADD\tR","ROR",-"DIV"
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// arm:"MUL","ADD\t[$]715827882",-".*udiv"
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// ppc64x/power8:"MULLD","ADD","ROTL\t[$]63"
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// ppc64x/power9:"MADDLD","ROTL\t[$]63"
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even := n%6 == 0
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// amd64:"IMULQ","ADD",-"ROLQ",-"DIVQ"
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// 386:"IMUL3L\t[$]678152731","ADDL\t[$]113025455",-"ROLL",-"DIVQ"
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// arm64:"MUL","MOVD\t[$]485440633518672410","ADD",-"ROR",-"DIV"
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// arm:"MUL","ADD\t[$]113025455",-".*udiv"
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// ppc64x/power8:"MULLD","ADD",-"ROTL"
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// ppc64x/power9:"MADDLD",-"ROTL"
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odd := n%19 == 0
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return even, odd
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}
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// Check that fix-up code is not generated for divisions where it has been proven that
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// that the divisor is not -1 or that the dividend is > MinIntNN.
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func NoFix64A(divr int64) (int64, int64) {
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var d int64 = 42
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var e int64 = 84
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if divr > 5 {
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d /= divr // amd64:-"JMP"
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e %= divr // amd64:-"JMP"
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// The following statement is to avoid conflict between the above check
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// and the normal JMP generated at the end of the block.
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d += e
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}
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return d, e
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}
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func NoFix64B(divd int64) (int64, int64) {
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var d int64
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var e int64
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var divr int64 = -1
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if divd > -9223372036854775808 {
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d = divd / divr // amd64:-"JMP"
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e = divd % divr // amd64:-"JMP"
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d += e
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}
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return d, e
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}
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func NoFix32A(divr int32) (int32, int32) {
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var d int32 = 42
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var e int32 = 84
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if divr > 5 {
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// amd64:-"JMP"
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// 386:-"JMP"
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d /= divr
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// amd64:-"JMP"
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// 386:-"JMP"
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e %= divr
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d += e
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}
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return d, e
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}
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func NoFix32B(divd int32) (int32, int32) {
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var d int32
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var e int32
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var divr int32 = -1
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if divd > -2147483648 {
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// amd64:-"JMP"
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// 386:-"JMP"
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d = divd / divr
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// amd64:-"JMP"
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// 386:-"JMP"
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e = divd % divr
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d += e
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}
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return d, e
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}
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func NoFix16A(divr int16) (int16, int16) {
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var d int16 = 42
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var e int16 = 84
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if divr > 5 {
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// amd64:-"JMP"
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// 386:-"JMP"
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d /= divr
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// amd64:-"JMP"
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// 386:-"JMP"
|
|
e %= divr
|
|
d += e
|
|
}
|
|
return d, e
|
|
}
|
|
|
|
func NoFix16B(divd int16) (int16, int16) {
|
|
var d int16
|
|
var e int16
|
|
var divr int16 = -1
|
|
if divd > -32768 {
|
|
// amd64:-"JMP"
|
|
// 386:-"JMP"
|
|
d = divd / divr
|
|
// amd64:-"JMP"
|
|
// 386:-"JMP"
|
|
e = divd % divr
|
|
d += e
|
|
}
|
|
return d, e
|
|
}
|
|
|
|
// Check that len() and cap() calls divided by powers of two are
|
|
// optimized into shifts and ands
|
|
|
|
func LenDiv1(a []int) int {
|
|
// 386:"SHRL\t[$]10"
|
|
// amd64:"SHRQ\t[$]10"
|
|
// arm64:"LSR\t[$]10",-"SDIV"
|
|
// arm:"SRL\t[$]10",-".*udiv"
|
|
// ppc64x:"SRD"\t[$]10"
|
|
return len(a) / 1024
|
|
}
|
|
|
|
func LenDiv2(s string) int {
|
|
// 386:"SHRL\t[$]11"
|
|
// amd64:"SHRQ\t[$]11"
|
|
// arm64:"LSR\t[$]11",-"SDIV"
|
|
// arm:"SRL\t[$]11",-".*udiv"
|
|
// ppc64x:"SRD\t[$]11"
|
|
return len(s) / (4097 >> 1)
|
|
}
|
|
|
|
func LenMod1(a []int) int {
|
|
// 386:"ANDL\t[$]1023"
|
|
// amd64:"ANDL\t[$]1023"
|
|
// arm64:"AND\t[$]1023",-"SDIV"
|
|
// arm/6:"AND",-".*udiv"
|
|
// arm/7:"BFC",-".*udiv",-"AND"
|
|
// ppc64x:"ANDCC\t[$]1023"
|
|
return len(a) % 1024
|
|
}
|
|
|
|
func LenMod2(s string) int {
|
|
// 386:"ANDL\t[$]2047"
|
|
// amd64:"ANDL\t[$]2047"
|
|
// arm64:"AND\t[$]2047",-"SDIV"
|
|
// arm/6:"AND",-".*udiv"
|
|
// arm/7:"BFC",-".*udiv",-"AND"
|
|
// ppc64x:"ANDCC\t[$]2047"
|
|
return len(s) % (4097 >> 1)
|
|
}
|
|
|
|
func CapDiv(a []int) int {
|
|
// 386:"SHRL\t[$]12"
|
|
// amd64:"SHRQ\t[$]12"
|
|
// arm64:"LSR\t[$]12",-"SDIV"
|
|
// arm:"SRL\t[$]12",-".*udiv"
|
|
// ppc64x:"SRD\t[$]12"
|
|
return cap(a) / ((1 << 11) + 2048)
|
|
}
|
|
|
|
func CapMod(a []int) int {
|
|
// 386:"ANDL\t[$]4095"
|
|
// amd64:"ANDL\t[$]4095"
|
|
// arm64:"AND\t[$]4095",-"SDIV"
|
|
// arm/6:"AND",-".*udiv"
|
|
// arm/7:"BFC",-".*udiv",-"AND"
|
|
// ppc64x:"ANDCC\t[$]4095"
|
|
return cap(a) % ((1 << 11) + 2048)
|
|
}
|
|
|
|
func AddMul(x int) int {
|
|
// amd64:"LEAQ\t1"
|
|
return 2*x + 1
|
|
}
|
|
|
|
func MULA(a, b, c uint32) (uint32, uint32, uint32) {
|
|
// arm:`MULA`,-`MUL\s`
|
|
// arm64:`MADDW`,-`MULW`
|
|
r0 := a*b + c
|
|
// arm:`MULA`,-`MUL\s`
|
|
// arm64:`MADDW`,-`MULW`
|
|
r1 := c*79 + a
|
|
// arm:`ADD`,-`MULA`,-`MUL\s`
|
|
// arm64:`ADD`,-`MADD`,-`MULW`
|
|
// ppc64x:`ADD`,-`MULLD`
|
|
r2 := b*64 + c
|
|
return r0, r1, r2
|
|
}
|
|
|
|
func MULS(a, b, c uint32) (uint32, uint32, uint32) {
|
|
// arm/7:`MULS`,-`MUL\s`
|
|
// arm/6:`SUB`,`MUL\s`,-`MULS`
|
|
// arm64:`MSUBW`,-`MULW`
|
|
r0 := c - a*b
|
|
// arm/7:`MULS`,-`MUL\s`
|
|
// arm/6:`SUB`,`MUL\s`,-`MULS`
|
|
// arm64:`MSUBW`,-`MULW`
|
|
r1 := a - c*79
|
|
// arm/7:`SUB`,-`MULS`,-`MUL\s`
|
|
// arm64:`SUB`,-`MSUBW`,-`MULW`
|
|
// ppc64x:`SUB`,-`MULLD`
|
|
r2 := c - b*64
|
|
return r0, r1, r2
|
|
}
|
|
|
|
func addSpecial(a, b, c uint32) (uint32, uint32, uint32) {
|
|
// amd64:`INCL`
|
|
a++
|
|
// amd64:`DECL`
|
|
b--
|
|
// amd64:`SUBL.*-128`
|
|
c += 128
|
|
return a, b, c
|
|
}
|
|
|
|
// Divide -> shift rules usually require fixup for negative inputs.
|
|
// If the input is non-negative, make sure the fixup is eliminated.
|
|
func divInt(v int64) int64 {
|
|
if v < 0 {
|
|
return 0
|
|
}
|
|
// amd64:-`.*SARQ.*63,`, -".*SHRQ", ".*SARQ.*[$]9,"
|
|
return v / 512
|
|
}
|
|
|
|
// The reassociate rules "x - (z + C) -> (x - z) - C" and
|
|
// "(z + C) -x -> C + (z - x)" can optimize the following cases.
|
|
func constantFold1(i0, j0, i1, j1, i2, j2, i3, j3 int) (int, int, int, int) {
|
|
// arm64:"SUB","ADD\t[$]2"
|
|
// ppc64x:"SUB","ADD\t[$]2"
|
|
r0 := (i0 + 3) - (j0 + 1)
|
|
// arm64:"SUB","SUB\t[$]4"
|
|
// ppc64x:"SUB","ADD\t[$]-4"
|
|
r1 := (i1 - 3) - (j1 + 1)
|
|
// arm64:"SUB","ADD\t[$]4"
|
|
// ppc64x:"SUB","ADD\t[$]4"
|
|
r2 := (i2 + 3) - (j2 - 1)
|
|
// arm64:"SUB","SUB\t[$]2"
|
|
// ppc64x:"SUB","ADD\t[$]-2"
|
|
r3 := (i3 - 3) - (j3 - 1)
|
|
return r0, r1, r2, r3
|
|
}
|
|
|
|
// The reassociate rules "x - (z + C) -> (x - z) - C" and
|
|
// "(C - z) - x -> C - (z + x)" can optimize the following cases.
|
|
func constantFold2(i0, j0, i1, j1 int) (int, int) {
|
|
// arm64:"ADD","MOVD\t[$]2","SUB"
|
|
// ppc64x: `SUBC\tR[0-9]+,\s[$]2,\sR`
|
|
r0 := (3 - i0) - (j0 + 1)
|
|
// arm64:"ADD","MOVD\t[$]4","SUB"
|
|
// ppc64x: `SUBC\tR[0-9]+,\s[$]4,\sR`
|
|
r1 := (3 - i1) - (j1 - 1)
|
|
return r0, r1
|
|
}
|
|
|
|
func constantFold3(i, j int) int {
|
|
// arm64: "MOVD\t[$]30","MUL",-"ADD",-"LSL"
|
|
// ppc64x:"MULLD\t[$]30","MULLD"
|
|
r := (5 * i) * (6 * j)
|
|
return r
|
|
}
|