+++ /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"
-)
-
-type Dorgtrer interface {
- Dorgtr(uplo blas.Uplo, n int, a []float64, lda int, tau, work []float64, lwork int)
- Dsytrder
-}
-
-func DorgtrTest(t *testing.T, impl Dorgtrer) {
- rnd := rand.New(rand.NewSource(1))
- for _, uplo := range []blas.Uplo{blas.Upper, blas.Lower} {
- for _, wl := range []worklen{minimumWork, mediumWork, optimumWork} {
- for _, test := range []struct {
- n, lda int
- }{
- {1, 0},
- {2, 0},
- {3, 0},
- {6, 0},
- {33, 0},
- {100, 0},
-
- {1, 3},
- {2, 5},
- {3, 7},
- {6, 10},
- {33, 50},
- {100, 120},
- } {
- 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)
-
- d := make([]float64, n)
- e := make([]float64, n-1)
- tau := make([]float64, n-1)
- work := make([]float64, 1)
- impl.Dsytrd(uplo, n, a, lda, d, e, tau, work, -1)
- work = make([]float64, int(work[0]))
- impl.Dsytrd(uplo, n, a, lda, d, e, tau, work, len(work))
-
- var lwork int
- switch wl {
- case minimumWork:
- lwork = max(1, n-1)
- case mediumWork:
- work := make([]float64, 1)
- impl.Dorgtr(uplo, n, a, lda, tau, work, -1)
- lwork = (int(work[0]) + n - 1) / 2
- lwork = max(1, lwork)
- case optimumWork:
- work := make([]float64, 1)
- impl.Dorgtr(uplo, n, a, lda, tau, work, -1)
- lwork = int(work[0])
- }
- work = nanSlice(lwork)
-
- impl.Dorgtr(uplo, n, a, lda, tau, work, len(work))
-
- q := blas64.General{
- Rows: n,
- Cols: n,
- Stride: lda,
- Data: a,
- }
- tri := blas64.General{
- Rows: n,
- Cols: n,
- Stride: n,
- Data: make([]float64, n*n),
- }
- for i := 0; i < n; i++ {
- tri.Data[i*tri.Stride+i] = d[i]
- if i != n-1 {
- tri.Data[i*tri.Stride+i+1] = e[i]
- tri.Data[(i+1)*tri.Stride+i] = e[i]
- }
- }
-
- aMat := 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]
- aMat.Data[i*aMat.Stride+j] = v
- aMat.Data[j*aMat.Stride+i] = v
- }
- }
- } else {
- for i := 0; i < n; i++ {
- for j := 0; j <= i; j++ {
- v := aCopy[i*lda+j]
- aMat.Data[i*aMat.Stride+j] = v
- aMat.Data[j*aMat.Stride+i] = v
- }
- }
- }
-
- tmp := blas64.General{Rows: n, Cols: n, Stride: n, Data: make([]float64, n*n)}
- blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, aMat, q, 0, tmp)
-
- ans := blas64.General{Rows: n, Cols: n, Stride: n, Data: make([]float64, n*n)}
- blas64.Gemm(blas.Trans, blas.NoTrans, 1, q, tmp, 0, ans)
-
- if !floats.EqualApprox(ans.Data, tri.Data, 1e-13) {
- t.Errorf("Recombination mismatch. n = %v, isUpper = %v", n, uplo == blas.Upper)
- }
- }
- }
- }
-}
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