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// Copyright ©2015 The Gonum 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 f64_test
import (
"fmt"
"math"
"testing"
"golang.org/x/exp/rand"
. "gonum.org/v1/gonum/internal/asm/f64"
)
func TestDotUnitary(t *testing.T) {
for i, test := range []struct {
xData []float64
yData []float64
want float64
}{
{
xData: []float64{2},
yData: []float64{-3},
want: -6,
},
{
xData: []float64{2, 3},
yData: []float64{-3, 4},
want: 6,
},
{
xData: []float64{2, 3, -4},
yData: []float64{-3, 4, 5},
want: -14,
},
{
xData: []float64{2, 3, -4, -5},
yData: []float64{-3, 4, 5, -6},
want: 16,
},
{
xData: []float64{0, 2, 3, -4, -5},
yData: []float64{0, -3, 4, 5, -6},
want: 16,
},
{
xData: []float64{0, 0, 2, 3, -4, -5},
yData: []float64{0, 1, -3, 4, 5, -6},
want: 16,
},
{
xData: []float64{0, 0, 1, 1, 2, -3, -4},
yData: []float64{0, 1, 0, 3, -4, 5, -6},
want: 4,
},
{
xData: []float64{0, 0, 1, 1, 2, -3, -4, 5},
yData: []float64{0, 1, 0, 3, -4, 5, -6, 7},
want: 39,
},
} {
const msgGuard = "test %v: out-of-bounds write to %v argument\nfront guard: %v\nback guard: %v"
x, xFront, xBack := newGuardedVector(test.xData, 1)
y, yFront, yBack := newGuardedVector(test.yData, 1)
got := DotUnitary(x, y)
if !allNaN(xFront) || !allNaN(xBack) {
t.Errorf(msgGuard, i, "x", xFront, xBack)
}
if !allNaN(yFront) || !allNaN(yBack) {
t.Errorf(msgGuard, i, "y", yFront, yBack)
}
if !equalStrided(test.xData, x, 1) {
t.Errorf("test %v: modified read-only x argument", i)
}
if !equalStrided(test.yData, y, 1) {
t.Errorf("test %v: modified read-only y argument", i)
}
if math.IsNaN(got) {
t.Errorf("test %v: invalid memory read", i)
continue
}
if got != test.want {
t.Errorf("test %v: unexpected result. want %v, got %v", i, test.want, got)
}
}
}
func TestDotInc(t *testing.T) {
for i, test := range []struct {
xData []float64
yData []float64
want float64
wantRev float64 // Result when one of the vectors is reversed.
}{
{
xData: []float64{2},
yData: []float64{-3},
want: -6,
wantRev: -6,
},
{
xData: []float64{2, 3},
yData: []float64{-3, 4},
want: 6,
wantRev: -1,
},
{
xData: []float64{2, 3, -4},
yData: []float64{-3, 4, 5},
want: -14,
wantRev: 34,
},
{
xData: []float64{2, 3, -4, -5},
yData: []float64{-3, 4, 5, -6},
want: 16,
wantRev: 2,
},
{
xData: []float64{0, 2, 3, -4, -5},
yData: []float64{0, -3, 4, 5, -6},
want: 16,
wantRev: 34,
},
{
xData: []float64{0, 0, 2, 3, -4, -5},
yData: []float64{0, 1, -3, 4, 5, -6},
want: 16,
wantRev: -5,
},
{
xData: []float64{0, 0, 1, 1, 2, -3, -4},
yData: []float64{0, 1, 0, 3, -4, 5, -6},
want: 4,
wantRev: -4,
},
{
xData: []float64{0, 0, 1, 1, 2, -3, -4, 5},
yData: []float64{0, 1, 0, 3, -4, 5, -6, 7},
want: 39,
wantRev: 3,
},
} {
const msgGuard = "%v: out-of-bounds write to %v argument\nfront guard: %v\nback guard: %v"
for _, incX := range []int{-7, -3, -2, -1, 1, 2, 3, 7} {
for _, incY := range []int{-7, -3, -2, -1, 1, 2, 3, 7} {
n := len(test.xData)
x, xFront, xBack := newGuardedVector(test.xData, incX)
y, yFront, yBack := newGuardedVector(test.yData, incY)
var ix, iy int
if incX < 0 {
ix = (-n + 1) * incX
}
if incY < 0 {
iy = (-n + 1) * incY
}
got := DotInc(x, y, uintptr(n), uintptr(incX), uintptr(incY), uintptr(ix), uintptr(iy))
prefix := fmt.Sprintf("test %v, incX = %v, incY = %v", i, incX, incY)
if !allNaN(xFront) || !allNaN(xBack) {
t.Errorf(msgGuard, prefix, "x", xFront, xBack)
}
if !allNaN(yFront) || !allNaN(yBack) {
t.Errorf(msgGuard, prefix, "y", yFront, yBack)
}
if nonStridedWrite(x, incX) || !equalStrided(test.xData, x, incX) {
t.Errorf("%v: modified read-only x argument", prefix)
}
if nonStridedWrite(y, incY) || !equalStrided(test.yData, y, incY) {
t.Errorf("%v: modified read-only y argument", prefix)
}
if math.IsNaN(got) {
t.Errorf("%v: invalid memory read", prefix)
continue
}
want := test.want
if incX*incY < 0 {
want = test.wantRev
}
if got != want {
t.Errorf("%v: unexpected result. want %v, got %v", prefix, want, got)
}
}
}
}
}
func BenchmarkDotUnitaryN1(b *testing.B) { dotUnitaryBenchmark(b, 1) }
func BenchmarkDotUnitaryN2(b *testing.B) { dotUnitaryBenchmark(b, 2) }
func BenchmarkDotUnitaryN3(b *testing.B) { dotUnitaryBenchmark(b, 3) }
func BenchmarkDotUnitaryN4(b *testing.B) { dotUnitaryBenchmark(b, 4) }
func BenchmarkDotUnitaryN10(b *testing.B) { dotUnitaryBenchmark(b, 10) }
func BenchmarkDotUnitaryN100(b *testing.B) { dotUnitaryBenchmark(b, 100) }
func BenchmarkDotUnitaryN1000(b *testing.B) { dotUnitaryBenchmark(b, 1000) }
func BenchmarkDotUnitaryN10000(b *testing.B) { dotUnitaryBenchmark(b, 10000) }
func BenchmarkDotUnitaryN100000(b *testing.B) { dotUnitaryBenchmark(b, 100000) }
var r float64
func dotUnitaryBenchmark(b *testing.B, n int) {
x := make([]float64, n)
for i := range x {
x[i] = rand.Float64()
}
y := make([]float64, n)
for i := range y {
y[i] = rand.Float64()
}
b.ResetTimer()
for i := 0; i < b.N; i++ {
r = DotUnitary(x, y)
}
}
func BenchmarkDotIncN1Inc1(b *testing.B) { dotIncBenchmark(b, 1, 1) }
func BenchmarkDotIncN2Inc1(b *testing.B) { dotIncBenchmark(b, 2, 1) }
func BenchmarkDotIncN2Inc2(b *testing.B) { dotIncBenchmark(b, 2, 2) }
func BenchmarkDotIncN2Inc4(b *testing.B) { dotIncBenchmark(b, 2, 4) }
func BenchmarkDotIncN2Inc10(b *testing.B) { dotIncBenchmark(b, 2, 10) }
func BenchmarkDotIncN3Inc1(b *testing.B) { dotIncBenchmark(b, 3, 1) }
func BenchmarkDotIncN3Inc2(b *testing.B) { dotIncBenchmark(b, 3, 2) }
func BenchmarkDotIncN3Inc4(b *testing.B) { dotIncBenchmark(b, 3, 4) }
func BenchmarkDotIncN3Inc10(b *testing.B) { dotIncBenchmark(b, 3, 10) }
func BenchmarkDotIncN4Inc1(b *testing.B) { dotIncBenchmark(b, 4, 1) }
func BenchmarkDotIncN4Inc2(b *testing.B) { dotIncBenchmark(b, 4, 2) }
func BenchmarkDotIncN4Inc4(b *testing.B) { dotIncBenchmark(b, 4, 4) }
func BenchmarkDotIncN4Inc10(b *testing.B) { dotIncBenchmark(b, 4, 10) }
func BenchmarkDotIncN10Inc1(b *testing.B) { dotIncBenchmark(b, 10, 1) }
func BenchmarkDotIncN10Inc2(b *testing.B) { dotIncBenchmark(b, 10, 2) }
func BenchmarkDotIncN10Inc4(b *testing.B) { dotIncBenchmark(b, 10, 4) }
func BenchmarkDotIncN10Inc10(b *testing.B) { dotIncBenchmark(b, 10, 10) }
func BenchmarkDotIncN1000Inc1(b *testing.B) { dotIncBenchmark(b, 1000, 1) }
func BenchmarkDotIncN1000Inc2(b *testing.B) { dotIncBenchmark(b, 1000, 2) }
func BenchmarkDotIncN1000Inc4(b *testing.B) { dotIncBenchmark(b, 1000, 4) }
func BenchmarkDotIncN1000Inc10(b *testing.B) { dotIncBenchmark(b, 1000, 10) }
func BenchmarkDotIncN100000Inc1(b *testing.B) { dotIncBenchmark(b, 100000, 1) }
func BenchmarkDotIncN100000Inc2(b *testing.B) { dotIncBenchmark(b, 100000, 2) }
func BenchmarkDotIncN100000Inc4(b *testing.B) { dotIncBenchmark(b, 100000, 4) }
func BenchmarkDotIncN100000Inc10(b *testing.B) { dotIncBenchmark(b, 100000, 10) }
func BenchmarkDotIncN100000IncM1(b *testing.B) { dotIncBenchmark(b, 100000, -1) }
func BenchmarkDotIncN100000IncM2(b *testing.B) { dotIncBenchmark(b, 100000, -2) }
func BenchmarkDotIncN100000IncM4(b *testing.B) { dotIncBenchmark(b, 100000, -4) }
func BenchmarkDotIncN100000IncM10(b *testing.B) { dotIncBenchmark(b, 100000, -10) }
func dotIncBenchmark(b *testing.B, n, inc int) {
absInc := inc
if inc < 0 {
absInc = -inc
}
x := make([]float64, (n-1)*absInc+1)
for i := range x {
x[i] = rand.Float64()
}
y := make([]float64, (n-1)*absInc+1)
for i := range y {
y[i] = rand.Float64()
}
var ini int
if inc < 0 {
ini = (-n + 1) * inc
}
b.ResetTimer()
for i := 0; i < b.N; i++ {
r = DotInc(x, y, uintptr(n), uintptr(inc), uintptr(inc), uintptr(ini), uintptr(ini))
}
}
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