1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
|
// 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"
"golang.org/x/exp/rand"
"gonum.org/v1/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)
}
}
}
}
|
