+++ /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 (
- "fmt"
- "math"
- "testing"
-
- "golang.org/x/exp/rand"
-
- "gonum.org/v1/gonum/blas"
- "gonum.org/v1/gonum/blas/blas64"
-)
-
-type Dormhrer interface {
- Dormhr(side blas.Side, trans blas.Transpose, m, n, ilo, ihi int, a []float64, lda int, tau, c []float64, ldc int, work []float64, lwork int)
-
- Dgehrder
-}
-
-func DormhrTest(t *testing.T, impl Dormhrer) {
- rnd := rand.New(rand.NewSource(1))
-
- for _, side := range []blas.Side{blas.Left, blas.Right} {
- for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans} {
- for _, m := range []int{1, 2, 3, 4, 5, 8, 9, 10, 23} {
- for _, n := range []int{1, 2, 3, 4, 5, 8, 9, 10, 23} {
- for _, extra := range []int{0, 1, 13} {
- for cas := 0; cas < 10; cas++ {
- nq := m
- if side == blas.Right {
- nq = n
- }
- ilo := rnd.Intn(nq)
- ihi := rnd.Intn(nq)
- if ilo > ihi {
- ilo, ihi = ihi, ilo
- }
- testDormhr(t, impl, side, trans, m, n, ilo, ihi, extra, true, rnd)
- testDormhr(t, impl, side, trans, m, n, ilo, ihi, extra, false, rnd)
- }
- }
- }
- }
- }
- }
- for _, side := range []blas.Side{blas.Left, blas.Right} {
- for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans} {
- testDormhr(t, impl, side, trans, 0, 0, 0, -1, 0, true, rnd)
- testDormhr(t, impl, side, trans, 0, 0, 0, -1, 0, false, rnd)
- }
- }
-}
-
-func testDormhr(t *testing.T, impl Dormhrer, side blas.Side, trans blas.Transpose, m, n, ilo, ihi, extra int, optwork bool, rnd *rand.Rand) {
- const tol = 1e-14
-
- var nq, nw int
- switch side {
- case blas.Left:
- nq = m
- nw = n
- case blas.Right:
- nq = n
- nw = m
- }
-
- // Compute the elementary reflectors and tau.
- a := randomGeneral(nq, nq, nq+extra, rnd)
- var tau []float64
- if nq > 1 {
- tau = nanSlice(nq - 1)
- }
- work := nanSlice(max(1, nq)) // Minimum work for Dgehrd.
- impl.Dgehrd(nq, ilo, ihi, a.Data, a.Stride, tau, work, len(work))
-
- // Construct Q from the elementary reflectors in a and from tau.
- q := eye(nq, nq)
- qCopy := eye(nq, nq)
- for j := ilo; j < ihi; j++ {
- h := eye(nq, nq)
- v := blas64.Vector{
- Inc: 1,
- Data: make([]float64, nq),
- }
- v.Data[j+1] = 1
- for i := j + 2; i < ihi+1; i++ {
- v.Data[i] = a.Data[i*a.Stride+j]
- }
- blas64.Ger(-tau[j], v, v, h)
- copy(qCopy.Data, q.Data)
- blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, qCopy, h, 0, q)
- }
-
- c := randomGeneral(m, n, n+extra, rnd)
-
- // Compute the product of Q and C explicitly.
- qc := randomGeneral(m, n, n+extra, rnd)
- if side == blas.Left {
- blas64.Gemm(trans, blas.NoTrans, 1, q, c, 0, qc)
- } else {
- blas64.Gemm(blas.NoTrans, trans, 1, c, q, 0, qc)
- }
-
- // Compute the product of Q and C using Dormhr.
- if optwork {
- work = nanSlice(1)
- impl.Dormhr(side, trans, m, n, ilo, ihi, nil, a.Stride, nil, nil, c.Stride, work, -1)
- work = nanSlice(int(work[0]))
- } else {
- work = nanSlice(max(1, nw))
- }
- impl.Dormhr(side, trans, m, n, ilo, ihi, a.Data, a.Stride, tau, c.Data, c.Stride, work, len(work))
-
- // Compare the two answers.
- prefix := fmt.Sprintf("Case side=%v, trans=%v, m=%v, n=%v, ilo=%v, ihi=%v, extra=%v, optwork=%v",
- side, trans, m, n, ilo, ihi, extra, optwork)
- if !generalOutsideAllNaN(c) {
- t.Errorf("%v: out-of-range write to C\n%v", prefix, c.Data)
- }
- for i := 0; i < m; i++ {
- for j := 0; j < n; j++ {
- cij := c.Data[i*c.Stride+j]
- qcij := qc.Data[i*qc.Stride+j]
- if math.Abs(cij-qcij) > tol {
- t.Errorf("%v: unexpected value of the QC product at [%v,%v]: want %v, got %v", prefix, i, j, qcij, cij)
- }
- }
- }
-}
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