+++ /dev/null
-// 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"
-)
-
-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 !floats.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 !floats.EqualWithinAbsOrRel(want, got, tol, tol) {
- t.Errorf("Case n=%v,incX=%v: unexpected result using Dnrm2. want %v, got %v", n, incX, want, got)
- }
- }
- }
-}