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// Copyright ©2015 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 Dorm2rer interface {
Dgeqrfer
Dorm2r(side blas.Side, trans blas.Transpose, m, n, k int, a []float64, lda int, tau, c []float64, ldc int, work []float64)
}
func Dorm2rTest(t *testing.T, impl Dorm2rer) {
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 _, test := range []struct {
common, adim, cdim, lda, ldc int
}{
{3, 4, 5, 0, 0},
{3, 5, 4, 0, 0},
{4, 3, 5, 0, 0},
{4, 5, 3, 0, 0},
{5, 3, 4, 0, 0},
{5, 4, 3, 0, 0},
{3, 4, 5, 6, 20},
{3, 5, 4, 6, 20},
{4, 3, 5, 6, 20},
{4, 5, 3, 6, 20},
{5, 3, 4, 6, 20},
{5, 4, 3, 6, 20},
{3, 4, 5, 20, 6},
{3, 5, 4, 20, 6},
{4, 3, 5, 20, 6},
{4, 5, 3, 20, 6},
{5, 3, 4, 20, 6},
{5, 4, 3, 20, 6},
} {
var ma, na, mc, nc int
if side == blas.Left {
ma = test.common
na = test.adim
mc = test.common
nc = test.cdim
} else {
ma = test.common
na = test.adim
mc = test.cdim
nc = test.common
}
// Generate a random matrix
lda := test.lda
if lda == 0 {
lda = na
}
a := make([]float64, ma*lda)
for i := range a {
a[i] = rnd.Float64()
}
ldc := test.ldc
if ldc == 0 {
ldc = nc
}
// Compute random C matrix
c := make([]float64, mc*ldc)
for i := range c {
c[i] = rnd.Float64()
}
// Compute QR
k := min(ma, na)
tau := make([]float64, k)
work := make([]float64, 1)
impl.Dgeqrf(ma, na, a, lda, tau, work, -1)
work = make([]float64, int(work[0]))
impl.Dgeqrf(ma, na, a, lda, tau, work, len(work))
// Build Q from result
q := constructQ("QR", ma, na, a, lda, tau)
cMat := blas64.General{
Rows: mc,
Cols: nc,
Stride: ldc,
Data: make([]float64, len(c)),
}
copy(cMat.Data, c)
cMatCopy := blas64.General{
Rows: cMat.Rows,
Cols: cMat.Cols,
Stride: cMat.Stride,
Data: make([]float64, len(cMat.Data)),
}
copy(cMatCopy.Data, cMat.Data)
switch {
default:
panic("bad test")
case side == blas.Left && trans == blas.NoTrans:
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, q, cMatCopy, 0, cMat)
case side == blas.Left && trans == blas.Trans:
blas64.Gemm(blas.Trans, blas.NoTrans, 1, q, cMatCopy, 0, cMat)
case side == blas.Right && trans == blas.NoTrans:
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, cMatCopy, q, 0, cMat)
case side == blas.Right && trans == blas.Trans:
blas64.Gemm(blas.NoTrans, blas.Trans, 1, cMatCopy, q, 0, cMat)
}
// Do Dorm2r ard compare
if side == blas.Left {
work = make([]float64, nc)
} else {
work = make([]float64, mc)
}
aCopy := make([]float64, len(a))
copy(aCopy, a)
tauCopy := make([]float64, len(tau))
copy(tauCopy, tau)
impl.Dorm2r(side, trans, mc, nc, k, a, lda, tau, c, ldc, work)
if !floats.Equal(a, aCopy) {
t.Errorf("a changed in call")
}
if !floats.Equal(tau, tauCopy) {
t.Errorf("tau changed in call")
}
if !floats.EqualApprox(cMat.Data, c, 1e-14) {
t.Errorf("Multiplication mismatch.\n Want %v \n got %v.", cMat.Data, c)
}
}
}
}
}
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