mirror of
https://github.com/gonum/gonum.git
synced 2025-10-04 23:02:42 +08:00
77 lines
1.5 KiB
Go
77 lines
1.5 KiB
Go
// 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
|
|
}
|