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// 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 (
"testing"
"golang.org/x/exp/rand"
"gonum.org/v1/gonum/blas"
"gonum.org/v1/gonum/blas/blas64"
"gonum.org/v1/gonum/floats"
"gonum.org/v1/gonum/lapack"
)
type Dsyever interface {
Dsyev(jobz lapack.EVJob, uplo blas.Uplo, n int, a []float64, lda int, w, work []float64, lwork int) (ok bool)
}
func DsyevTest(t *testing.T, impl Dsyever) {
rnd := rand.New(rand.NewSource(1))
for _, uplo := range []blas.Uplo{blas.Lower, blas.Upper} {
for _, test := range []struct {
n, lda int
}{
{1, 0},
{2, 0},
{5, 0},
{10, 0},
{100, 0},
{1, 5},
{2, 5},
{5, 10},
{10, 20},
{100, 110},
} {
for cas := 0; cas < 10; cas++ {
n := test.n
lda := test.lda
if lda == 0 {
lda = n
}
a := make([]float64, n*lda)
for i := range a {
a[i] = rnd.NormFloat64()
}
aCopy := make([]float64, len(a))
copy(aCopy, a)
w := make([]float64, n)
for i := range w {
w[i] = rnd.NormFloat64()
}
work := make([]float64, 1)
impl.Dsyev(lapack.EVCompute, uplo, n, a, lda, w, work, -1)
work = make([]float64, int(work[0]))
impl.Dsyev(lapack.EVCompute, uplo, n, a, lda, w, work, len(work))
// Check that the decomposition is correct
orig := blas64.General{
Rows: n,
Cols: n,
Stride: n,
Data: make([]float64, n*n),
}
if uplo == blas.Upper {
for i := 0; i < n; i++ {
for j := i; j < n; j++ {
v := aCopy[i*lda+j]
orig.Data[i*orig.Stride+j] = v
orig.Data[j*orig.Stride+i] = v
}
}
} else {
for i := 0; i < n; i++ {
for j := 0; j <= i; j++ {
v := aCopy[i*lda+j]
orig.Data[i*orig.Stride+j] = v
orig.Data[j*orig.Stride+i] = v
}
}
}
V := blas64.General{
Rows: n,
Cols: n,
Stride: lda,
Data: a,
}
if !eigenDecompCorrect(w, orig, V) {
t.Errorf("Decomposition mismatch")
}
// Check that the decomposition is correct when the eigenvectors
// are not computed.
wAns := make([]float64, len(w))
copy(wAns, w)
copy(a, aCopy)
for i := range w {
w[i] = rnd.Float64()
}
for i := range work {
work[i] = rnd.Float64()
}
impl.Dsyev(lapack.EVNone, uplo, n, a, lda, w, work, len(work))
if !floats.EqualApprox(w, wAns, 1e-8) {
t.Errorf("Eigenvalue mismatch when vectors not computed")
}
}
}
}
}
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