| // 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" |
| "math/rand" |
| "testing" |
| |
| "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) |
| } |
| } |
| } |
| } |