+++ /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/blas/blas64"
-)
-
-type Dorg2ler interface {
- Dorg2l(m, n, k int, a []float64, lda int, tau, work []float64)
- Dgeql2er
-}
-
-func Dorg2lTest(t *testing.T, impl Dorg2ler) {
- rnd := rand.New(rand.NewSource(1))
- for _, test := range []struct {
- m, n, k, lda int
- }{
- {5, 4, 3, 0},
- {5, 4, 4, 0},
- {3, 3, 2, 0},
- {5, 5, 5, 0},
- } {
- m := test.m
- n := test.n
- k := test.k
- lda := test.lda
- if lda == 0 {
- lda = n
- }
-
- a := make([]float64, m*lda)
- for i := range a {
- a[i] = rnd.NormFloat64()
- }
- tau := nanSlice(max(m, n))
- work := make([]float64, n)
- impl.Dgeql2(m, n, a, lda, tau, work)
-
- aCopy := make([]float64, len(a))
- copy(aCopy, a)
- impl.Dorg2l(m, n, k, a, lda, tau[n-k:], work)
- if !hasOrthonormalColumns(m, n, a, lda) {
- t.Errorf("Q is not orthonormal. m = %v, n = %v, k = %v", m, n, k)
- }
- }
-}
-
-// hasOrthornormalColumns checks that the columns of a are orthonormal.
-func hasOrthonormalColumns(m, n int, a []float64, lda int) bool {
- for i := 0; i < n; i++ {
- for j := i; j < n; j++ {
- dot := blas64.Dot(m,
- blas64.Vector{Inc: lda, Data: a[i:]},
- blas64.Vector{Inc: lda, Data: a[j:]},
- )
- if i == j {
- if math.Abs(dot-1) > 1e-10 {
- return false
- }
- } else {
- if math.Abs(dot) > 1e-10 {
- return false
- }
- }
- }
- }
- return true
-}