mirror of
https://github.com/gonum/gonum.git
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138 lines
3.2 KiB
Go
138 lines
3.2 KiB
Go
// Copyright ©2017 The Gonum 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 testblas
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import (
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"fmt"
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"math"
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"testing"
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"golang.org/x/exp/rand"
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"gonum.org/v1/gonum/floats"
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)
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type Dznrm2er interface {
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Dznrm2(n int, x []complex128, incX int) float64
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Dnrm2er
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}
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func Dznrm2Test(t *testing.T, impl Dznrm2er) {
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tol := 1e-12
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for tc, test := range []struct {
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x []complex128
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want float64
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}{
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{
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x: nil,
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want: 0,
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},
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{
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x: []complex128{1 + 2i},
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want: 2.2360679774998,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i},
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want: 5.4772255750517,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i, 5 + 6i},
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want: 9.5393920141695,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i},
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want: 1.4282856857086e+01,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i},
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want: 1.9621416870349e+01,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i},
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want: 2.5495097567964e+01,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i},
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want: 3.1859064644148e+01,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i},
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want: 3.8678159211627e+01,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i},
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want: 4.5923850012820e+01,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i},
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want: 5.3572380943915e+01,
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},
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{
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x: []complex128{1 + 2i, 3 + 4i, 5 + 6i, 7 + 8i, 9 + 10i, 11 + 12i, 13 + 14i, 15 + 16i, 17 + 18i, 19 + 20i, 21 + 22i},
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want: 6.1603571325046e+01,
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},
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{
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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},
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want: 70,
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},
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} {
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n := len(test.x)
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for _, incX := range []int{-10, -1, 1, 2, 9, 17} {
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x := makeZVector(test.x, incX)
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xCopy := make([]complex128, len(x))
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copy(xCopy, x)
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got := impl.Dznrm2(n, x, incX)
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prefix := fmt.Sprintf("Case %v (n=%v,incX=%v):", tc, n, incX)
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if !zsame(x, xCopy) {
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t.Errorf("%v: unexpected modification of x", prefix)
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}
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if incX < 0 {
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if got != 0 {
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t.Errorf("%v: non-zero result when incX < 0. got %v", prefix, got)
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}
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continue
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}
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if !floats.EqualWithinAbsOrRel(test.want, got, tol, tol) {
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t.Errorf("%v: unexpected result. want %v, got %v", prefix, test.want, got)
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}
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}
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}
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tol = 1e-14
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rnd := rand.New(rand.NewSource(1))
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for _, n := range []int{10, 50, 100} {
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for _, incX := range []int{1, 2, 10} {
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re := make([]float64, n)
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for i := range re {
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re[i] = rnd.NormFloat64()
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}
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im := make([]float64, n)
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for i := range im {
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im[i] = rnd.NormFloat64()
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}
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want := math.Hypot(impl.Dnrm2(n, re, 1), impl.Dnrm2(n, im, 1))
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x := make([]complex128, (n-1)*incX+1)
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for i := range x {
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x[i] = znan
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}
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for i := range re {
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x[i*incX] = complex(re[i], im[i])
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}
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got := impl.Dznrm2(n, x, incX)
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if !floats.EqualWithinAbsOrRel(want, got, tol, tol) {
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t.Errorf("Case n=%v,incX=%v: unexpected result using Dnrm2. want %v, got %v", n, incX, want, got)
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}
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}
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}
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}
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