mirror of
https://github.com/autc04/Retro68.git
synced 2024-11-29 12:50:35 +00:00
432 lines
9.9 KiB
Go
432 lines
9.9 KiB
Go
// Copyright 2009 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 big
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import (
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"fmt"
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"internal/testenv"
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"math/rand"
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"strings"
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"testing"
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)
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var isRaceBuilder = strings.HasSuffix(testenv.Builder(), "-race")
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type funWW func(x, y, c Word) (z1, z0 Word)
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type argWW struct {
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x, y, c, z1, z0 Word
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}
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var sumWW = []argWW{
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{0, 0, 0, 0, 0},
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{0, 1, 0, 0, 1},
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{0, 0, 1, 0, 1},
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{0, 1, 1, 0, 2},
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{12345, 67890, 0, 0, 80235},
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{12345, 67890, 1, 0, 80236},
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{_M, 1, 0, 1, 0},
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{_M, 0, 1, 1, 0},
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{_M, 1, 1, 1, 1},
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{_M, _M, 0, 1, _M - 1},
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{_M, _M, 1, 1, _M},
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}
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func testFunWW(t *testing.T, msg string, f funWW, a argWW) {
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z1, z0 := f(a.x, a.y, a.c)
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if z1 != a.z1 || z0 != a.z0 {
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t.Errorf("%s%+v\n\tgot z1:z0 = %#x:%#x; want %#x:%#x", msg, a, z1, z0, a.z1, a.z0)
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}
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}
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func TestFunWW(t *testing.T) {
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for _, a := range sumWW {
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arg := a
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testFunWW(t, "addWW_g", addWW_g, arg)
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arg = argWW{a.y, a.x, a.c, a.z1, a.z0}
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testFunWW(t, "addWW_g symmetric", addWW_g, arg)
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arg = argWW{a.z0, a.x, a.c, a.z1, a.y}
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testFunWW(t, "subWW_g", subWW_g, arg)
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arg = argWW{a.z0, a.y, a.c, a.z1, a.x}
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testFunWW(t, "subWW_g symmetric", subWW_g, arg)
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}
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}
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type funVV func(z, x, y []Word) (c Word)
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type argVV struct {
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z, x, y nat
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c Word
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}
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var sumVV = []argVV{
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{},
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{nat{0}, nat{0}, nat{0}, 0},
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{nat{1}, nat{1}, nat{0}, 0},
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{nat{0}, nat{_M}, nat{1}, 1},
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{nat{80235}, nat{12345}, nat{67890}, 0},
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{nat{_M - 1}, nat{_M}, nat{_M}, 1},
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{nat{0, 0, 0, 0}, nat{_M, _M, _M, _M}, nat{1, 0, 0, 0}, 1},
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{nat{0, 0, 0, _M}, nat{_M, _M, _M, _M - 1}, nat{1, 0, 0, 0}, 0},
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{nat{0, 0, 0, 0}, nat{_M, 0, _M, 0}, nat{1, _M, 0, _M}, 1},
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}
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func testFunVV(t *testing.T, msg string, f funVV, a argVV) {
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z := make(nat, len(a.z))
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c := f(z, a.x, a.y)
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for i, zi := range z {
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if zi != a.z[i] {
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t.Errorf("%s%+v\n\tgot z[%d] = %#x; want %#x", msg, a, i, zi, a.z[i])
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break
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}
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}
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if c != a.c {
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t.Errorf("%s%+v\n\tgot c = %#x; want %#x", msg, a, c, a.c)
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}
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}
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func TestFunVV(t *testing.T) {
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for _, a := range sumVV {
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arg := a
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testFunVV(t, "addVV_g", addVV_g, arg)
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testFunVV(t, "addVV", addVV, arg)
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arg = argVV{a.z, a.y, a.x, a.c}
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testFunVV(t, "addVV_g symmetric", addVV_g, arg)
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testFunVV(t, "addVV symmetric", addVV, arg)
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arg = argVV{a.x, a.z, a.y, a.c}
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testFunVV(t, "subVV_g", subVV_g, arg)
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testFunVV(t, "subVV", subVV, arg)
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arg = argVV{a.y, a.z, a.x, a.c}
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testFunVV(t, "subVV_g symmetric", subVV_g, arg)
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testFunVV(t, "subVV symmetric", subVV, arg)
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}
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}
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// Always the same seed for reproducible results.
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var rnd = rand.New(rand.NewSource(0))
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func rndW() Word {
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return Word(rnd.Int63()<<1 | rnd.Int63n(2))
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}
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func rndV(n int) []Word {
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v := make([]Word, n)
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for i := range v {
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v[i] = rndW()
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}
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return v
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}
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var benchSizes = []int{1, 2, 3, 4, 5, 1e1, 1e2, 1e3, 1e4, 1e5}
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func BenchmarkAddVV(b *testing.B) {
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for _, n := range benchSizes {
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if isRaceBuilder && n > 1e3 {
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continue
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}
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x := rndV(n)
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y := rndV(n)
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z := make([]Word, n)
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b.Run(fmt.Sprint(n), func(b *testing.B) {
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b.SetBytes(int64(n * _W))
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for i := 0; i < b.N; i++ {
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addVV(z, x, y)
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}
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})
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}
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}
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func BenchmarkSubVV(b *testing.B) {
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for _, n := range benchSizes {
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if isRaceBuilder && n > 1e3 {
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continue
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}
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x := rndV(n)
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y := rndV(n)
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z := make([]Word, n)
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b.Run(fmt.Sprint(n), func(b *testing.B) {
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b.SetBytes(int64(n * _W))
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for i := 0; i < b.N; i++ {
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subVV(z, x, y)
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}
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})
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}
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}
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type funVW func(z, x []Word, y Word) (c Word)
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type argVW struct {
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z, x nat
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y Word
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c Word
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}
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var sumVW = []argVW{
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{},
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{nil, nil, 2, 2},
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{nat{0}, nat{0}, 0, 0},
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{nat{1}, nat{0}, 1, 0},
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{nat{1}, nat{1}, 0, 0},
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{nat{0}, nat{_M}, 1, 1},
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{nat{0, 0, 0, 0}, nat{_M, _M, _M, _M}, 1, 1},
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{nat{585}, nat{314}, 271, 0},
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}
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var lshVW = []argVW{
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{},
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{nat{0}, nat{0}, 0, 0},
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{nat{0}, nat{0}, 1, 0},
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{nat{0}, nat{0}, 20, 0},
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{nat{_M}, nat{_M}, 0, 0},
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{nat{_M << 1 & _M}, nat{_M}, 1, 1},
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{nat{_M << 20 & _M}, nat{_M}, 20, _M >> (_W - 20)},
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{nat{_M, _M, _M}, nat{_M, _M, _M}, 0, 0},
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{nat{_M << 1 & _M, _M, _M}, nat{_M, _M, _M}, 1, 1},
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{nat{_M << 20 & _M, _M, _M}, nat{_M, _M, _M}, 20, _M >> (_W - 20)},
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}
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var rshVW = []argVW{
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{},
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{nat{0}, nat{0}, 0, 0},
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{nat{0}, nat{0}, 1, 0},
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{nat{0}, nat{0}, 20, 0},
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{nat{_M}, nat{_M}, 0, 0},
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{nat{_M >> 1}, nat{_M}, 1, _M << (_W - 1) & _M},
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{nat{_M >> 20}, nat{_M}, 20, _M << (_W - 20) & _M},
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{nat{_M, _M, _M}, nat{_M, _M, _M}, 0, 0},
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{nat{_M, _M, _M >> 1}, nat{_M, _M, _M}, 1, _M << (_W - 1) & _M},
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{nat{_M, _M, _M >> 20}, nat{_M, _M, _M}, 20, _M << (_W - 20) & _M},
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}
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func testFunVW(t *testing.T, msg string, f funVW, a argVW) {
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z := make(nat, len(a.z))
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c := f(z, a.x, a.y)
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for i, zi := range z {
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if zi != a.z[i] {
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t.Errorf("%s%+v\n\tgot z[%d] = %#x; want %#x", msg, a, i, zi, a.z[i])
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break
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}
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}
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if c != a.c {
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t.Errorf("%s%+v\n\tgot c = %#x; want %#x", msg, a, c, a.c)
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}
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}
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func makeFunVW(f func(z, x []Word, s uint) (c Word)) funVW {
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return func(z, x []Word, s Word) (c Word) {
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return f(z, x, uint(s))
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}
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}
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func TestFunVW(t *testing.T) {
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for _, a := range sumVW {
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arg := a
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testFunVW(t, "addVW_g", addVW_g, arg)
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testFunVW(t, "addVW", addVW, arg)
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arg = argVW{a.x, a.z, a.y, a.c}
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testFunVW(t, "subVW_g", subVW_g, arg)
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testFunVW(t, "subVW", subVW, arg)
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}
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shlVW_g := makeFunVW(shlVU_g)
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shlVW := makeFunVW(shlVU)
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for _, a := range lshVW {
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arg := a
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testFunVW(t, "shlVU_g", shlVW_g, arg)
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testFunVW(t, "shlVU", shlVW, arg)
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}
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shrVW_g := makeFunVW(shrVU_g)
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shrVW := makeFunVW(shrVU)
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for _, a := range rshVW {
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arg := a
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testFunVW(t, "shrVU_g", shrVW_g, arg)
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testFunVW(t, "shrVU", shrVW, arg)
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}
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}
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func BenchmarkAddVW(b *testing.B) {
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for _, n := range benchSizes {
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if isRaceBuilder && n > 1e3 {
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continue
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}
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x := rndV(n)
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y := rndW()
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z := make([]Word, n)
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b.Run(fmt.Sprint(n), func(b *testing.B) {
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b.SetBytes(int64(n * _S))
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for i := 0; i < b.N; i++ {
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addVW(z, x, y)
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}
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})
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}
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}
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func BenchmarkSubVW(b *testing.B) {
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for _, n := range benchSizes {
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if isRaceBuilder && n > 1e3 {
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continue
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}
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x := rndV(n)
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y := rndW()
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z := make([]Word, n)
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b.Run(fmt.Sprint(n), func(b *testing.B) {
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b.SetBytes(int64(n * _S))
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for i := 0; i < b.N; i++ {
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subVW(z, x, y)
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}
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})
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}
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}
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type funVWW func(z, x []Word, y, r Word) (c Word)
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type argVWW struct {
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z, x nat
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y, r Word
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c Word
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}
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var prodVWW = []argVWW{
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{},
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{nat{0}, nat{0}, 0, 0, 0},
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{nat{991}, nat{0}, 0, 991, 0},
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{nat{0}, nat{_M}, 0, 0, 0},
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{nat{991}, nat{_M}, 0, 991, 0},
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{nat{0}, nat{0}, _M, 0, 0},
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{nat{991}, nat{0}, _M, 991, 0},
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{nat{1}, nat{1}, 1, 0, 0},
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{nat{992}, nat{1}, 1, 991, 0},
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{nat{22793}, nat{991}, 23, 0, 0},
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{nat{22800}, nat{991}, 23, 7, 0},
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{nat{0, 0, 0, 22793}, nat{0, 0, 0, 991}, 23, 0, 0},
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{nat{7, 0, 0, 22793}, nat{0, 0, 0, 991}, 23, 7, 0},
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{nat{0, 0, 0, 0}, nat{7893475, 7395495, 798547395, 68943}, 0, 0, 0},
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{nat{991, 0, 0, 0}, nat{7893475, 7395495, 798547395, 68943}, 0, 991, 0},
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{nat{0, 0, 0, 0}, nat{0, 0, 0, 0}, 894375984, 0, 0},
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{nat{991, 0, 0, 0}, nat{0, 0, 0, 0}, 894375984, 991, 0},
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{nat{_M << 1 & _M}, nat{_M}, 1 << 1, 0, _M >> (_W - 1)},
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{nat{_M<<1&_M + 1}, nat{_M}, 1 << 1, 1, _M >> (_W - 1)},
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{nat{_M << 7 & _M}, nat{_M}, 1 << 7, 0, _M >> (_W - 7)},
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{nat{_M<<7&_M + 1<<6}, nat{_M}, 1 << 7, 1 << 6, _M >> (_W - 7)},
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{nat{_M << 7 & _M, _M, _M, _M}, nat{_M, _M, _M, _M}, 1 << 7, 0, _M >> (_W - 7)},
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{nat{_M<<7&_M + 1<<6, _M, _M, _M}, nat{_M, _M, _M, _M}, 1 << 7, 1 << 6, _M >> (_W - 7)},
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}
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func testFunVWW(t *testing.T, msg string, f funVWW, a argVWW) {
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z := make(nat, len(a.z))
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c := f(z, a.x, a.y, a.r)
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for i, zi := range z {
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if zi != a.z[i] {
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t.Errorf("%s%+v\n\tgot z[%d] = %#x; want %#x", msg, a, i, zi, a.z[i])
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break
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}
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}
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if c != a.c {
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t.Errorf("%s%+v\n\tgot c = %#x; want %#x", msg, a, c, a.c)
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}
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}
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// TODO(gri) mulAddVWW and divWVW are symmetric operations but
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// their signature is not symmetric. Try to unify.
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type funWVW func(z []Word, xn Word, x []Word, y Word) (r Word)
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type argWVW struct {
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z nat
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xn Word
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x nat
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y Word
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r Word
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}
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func testFunWVW(t *testing.T, msg string, f funWVW, a argWVW) {
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z := make(nat, len(a.z))
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r := f(z, a.xn, a.x, a.y)
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for i, zi := range z {
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if zi != a.z[i] {
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t.Errorf("%s%+v\n\tgot z[%d] = %#x; want %#x", msg, a, i, zi, a.z[i])
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break
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}
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}
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if r != a.r {
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t.Errorf("%s%+v\n\tgot r = %#x; want %#x", msg, a, r, a.r)
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}
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}
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func TestFunVWW(t *testing.T) {
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for _, a := range prodVWW {
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arg := a
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testFunVWW(t, "mulAddVWW_g", mulAddVWW_g, arg)
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testFunVWW(t, "mulAddVWW", mulAddVWW, arg)
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if a.y != 0 && a.r < a.y {
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arg := argWVW{a.x, a.c, a.z, a.y, a.r}
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testFunWVW(t, "divWVW_g", divWVW_g, arg)
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testFunWVW(t, "divWVW", divWVW, arg)
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}
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}
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}
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var mulWWTests = []struct {
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x, y Word
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q, r Word
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}{
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{_M, _M, _M - 1, 1},
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// 32 bit only: {0xc47dfa8c, 50911, 0x98a4, 0x998587f4},
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}
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func TestMulWW(t *testing.T) {
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for i, test := range mulWWTests {
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q, r := mulWW_g(test.x, test.y)
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if q != test.q || r != test.r {
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t.Errorf("#%d got (%x, %x) want (%x, %x)", i, q, r, test.q, test.r)
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}
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}
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}
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var mulAddWWWTests = []struct {
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x, y, c Word
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q, r Word
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}{
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// TODO(agl): These will only work on 64-bit platforms.
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// {15064310297182388543, 0xe7df04d2d35d5d80, 13537600649892366549, 13644450054494335067, 10832252001440893781},
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// {15064310297182388543, 0xdab2f18048baa68d, 13644450054494335067, 12869334219691522700, 14233854684711418382},
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{_M, _M, 0, _M - 1, 1},
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{_M, _M, _M, _M, 0},
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}
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func TestMulAddWWW(t *testing.T) {
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for i, test := range mulAddWWWTests {
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q, r := mulAddWWW_g(test.x, test.y, test.c)
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if q != test.q || r != test.r {
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t.Errorf("#%d got (%x, %x) want (%x, %x)", i, q, r, test.q, test.r)
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}
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}
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}
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func BenchmarkAddMulVVW(b *testing.B) {
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for _, n := range benchSizes {
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if isRaceBuilder && n > 1e3 {
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continue
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}
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x := rndV(n)
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y := rndW()
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z := make([]Word, n)
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b.Run(fmt.Sprint(n), func(b *testing.B) {
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b.SetBytes(int64(n * _W))
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for i := 0; i < b.N; i++ {
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addMulVVW(z, x, y)
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}
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})
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}
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}
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