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dznrm2.go
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dznrm2.go
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// Copyright ©2017 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 testblas
import (
"fmt"
"math"
"testing"
"math/rand"
"github.com/gopherd/gonum/floats/scalar"
)
type Dznrm2er interface {
Dznrm2(n int, x []complex128, incX int) float64
Dnrm2er
}
func Dznrm2Test(t *testing.T, impl Dznrm2er) {
tol := 1e-12
for tc, test := range []struct {
x []complex128
want float64
}{
{
x: nil,
want: 0,
},
{
x: []complex128{1 + 2i},
want: 2.2360679774998,
},
{
x: []complex128{1 + 2i, 3 + 4i},
want: 5.4772255750517,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i},
want: 9.5393920141695,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i},
want: 1.4282856857086e+01,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i},
want: 1.9621416870349e+01,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i},
want: 2.5495097567964e+01,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i},
want: 3.1859064644148e+01,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i},
want: 3.8678159211627e+01,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i},
want: 4.5923850012820e+01,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i},
want: 5.3572380943915e+01,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i, 21 + 22i},
want: 6.1603571325046e+01,
},
{
x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i, 21 + 22i, 23 + 24i},
want: 70,
},
} {
n := len(test.x)
for _, incX := range []int{-10, -1, 1, 2, 9, 17} {
x := makeZVector(test.x, incX)
xCopy := make([]complex128, len(x))
copy(xCopy, x)
got := impl.Dznrm2(n, x, incX)
prefix := fmt.Sprintf("Case %v (n=%v,incX=%v):", tc, n, incX)
if !zsame(x, xCopy) {
t.Errorf("%v: unexpected modification of x", prefix)
}
if incX < 0 {
if got != 0 {
t.Errorf("%v: non-zero result when incX < 0. got %v", prefix, got)
}
continue
}
if !scalar.EqualWithinAbsOrRel(test.want, got, tol, tol) {
t.Errorf("%v: unexpected result. want %v, got %v", prefix, test.want, got)
}
}
}
tol = 1e-14
rnd := rand.New(rand.NewSource(1))
for _, n := range []int{10, 50, 100} {
for _, incX := range []int{1, 2, 10} {
re := make([]float64, n)
for i := range re {
re[i] = rnd.NormFloat64()
}
im := make([]float64, n)
for i := range im {
im[i] = rnd.NormFloat64()
}
want := math.Hypot(impl.Dnrm2(n, re, 1), impl.Dnrm2(n, im, 1))
x := make([]complex128, (n-1)*incX+1)
for i := range x {
x[i] = znan
}
for i := range re {
x[i*incX] = complex(re[i], im[i])
}
got := impl.Dznrm2(n, x, incX)
if !scalar.EqualWithinAbsOrRel(want, got, tol, tol) {
t.Errorf("Case n=%v,incX=%v: unexpected result using Dnrm2. want %v, got %v", n, incX, want, got)
}
}
}
}