--- /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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