+++ /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 (
- "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.ComputeEV, uplo, n, a, lda, w, work, -1)
- work = make([]float64, int(work[0]))
- impl.Dsyev(lapack.ComputeEV, 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.None, uplo, n, a, lda, w, work, len(work))
- if !floats.EqualApprox(w, wAns, 1e-8) {
- t.Errorf("Eigenvalue mismatch when vectors not computed")
- }
- }
- }
- }
-}