+++ /dev/null
-// Copyright ©2016 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 testlapack
-
-import (
- "math"
- "testing"
-
- "golang.org/x/exp/rand"
-
- "gonum.org/v1/gonum/floats"
-)
-
-type Dlaqr1er interface {
- Dlaqr1(n int, h []float64, ldh int, sr1, si1, sr2, si2 float64, v []float64)
-}
-
-func Dlaqr1Test(t *testing.T, impl Dlaqr1er) {
- rnd := rand.New(rand.NewSource(1))
-
- for _, n := range []int{2, 3} {
- for _, ldh := range []int{n, n + 1, n + 10} {
- for _, cas := range []int{1, 2} {
- for k := 0; k < 100; k++ {
- v := make([]float64, n)
- for i := range v {
- v[i] = math.NaN()
- }
- h := make([]float64, n*(n-1)*ldh)
- for i := range h {
- h[i] = math.NaN()
- }
- for i := 0; i < n; i++ {
- for j := 0; j < n; j++ {
- h[i*ldh+j] = rnd.NormFloat64()
- }
- }
- var sr1, sr2, si1, si2 float64
- if cas == 1 {
- sr1 = rnd.NormFloat64()
- sr2 = sr1
- si1 = rnd.NormFloat64()
- si2 = -si1
- } else {
- sr1 = rnd.NormFloat64()
- sr2 = rnd.NormFloat64()
- si1 = 0
- si2 = 0
- }
- impl.Dlaqr1(n, h, ldh, sr1, si1, sr2, si2, v)
-
- // Matrix H - s1*I.
- h1 := make([]complex128, n*n)
- for i := 0; i < n; i++ {
- for j := 0; j < n; j++ {
- h1[i*n+j] = complex(h[i*ldh+j], 0)
- if i == j {
- h1[i*n+j] -= complex(sr1, si1)
- }
- }
- }
- // First column of H - s2*I.
- h2 := make([]complex128, n)
- for i := 0; i < n; i++ {
- h2[i] = complex(h[i*ldh], 0)
- }
- h2[0] -= complex(sr2, si2)
-
- wantv := make([]float64, n)
- // Multiply (H-s1*I)*(H-s2*I) to get a tentative
- // wantv.
- for i := 0; i < n; i++ {
- for j := 0; j < n; j++ {
- wantv[i] += real(h1[i*n+j] * h2[j])
- }
- }
- // Get the unknown scale.
- scale := v[0] / wantv[0]
- // Compute the actual wantv.
- floats.Scale(scale, wantv)
-
- // The scale must be the same for all elements.
- if floats.Distance(wantv, v, math.Inf(1)) > 1e-13 {
- t.Errorf("n = %v, ldh = %v, case = %v: Unexpected value of v: got %v, want %v", n, ldh, cas, v, wantv)
- }
- }
- }
- }
- }
-}