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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/floats"
)
type Dormlqer interface {
Dorml2er
Dormlq(side blas.Side, trans blas.Transpose, m, n, k int, a []float64, lda int, tau, c []float64, ldc int, work []float64, lwork int)
}
func DormlqTest(t *testing.T, impl Dormlqer) {
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 _, wl := range []worklen{minimumWork, mediumWork, optimumWork} {
for _, test := range []struct {
common, adim, cdim, lda, ldc int
}{
{0, 0, 0, 0, 0},
{6, 7, 8, 0, 0},
{6, 8, 7, 0, 0},
{7, 6, 8, 0, 0},
{7, 8, 6, 0, 0},
{8, 6, 7, 0, 0},
{8, 7, 6, 0, 0},
{100, 200, 300, 0, 0},
{100, 300, 200, 0, 0},
{200, 100, 300, 0, 0},
{200, 300, 100, 0, 0},
{300, 100, 200, 0, 0},
{300, 200, 100, 0, 0},
{100, 200, 300, 400, 500},
{100, 300, 200, 400, 500},
{200, 100, 300, 400, 500},
{200, 300, 100, 400, 500},
{300, 100, 200, 400, 500},
{300, 200, 100, 400, 500},
{100, 200, 300, 500, 400},
{100, 300, 200, 500, 400},
{200, 100, 300, 500, 400},
{200, 300, 100, 500, 400},
{300, 100, 200, 500, 400},
{300, 200, 100, 500, 400},
} {
var ma, na, mc, nc int
if side == blas.Left {
ma = test.adim
na = test.common
mc = test.common
nc = test.cdim
} else {
ma = test.adim
na = test.common
mc = test.cdim
nc = test.common
}
// Generate a random matrix
lda := test.lda
if lda == 0 {
lda = max(1, na)
}
a := make([]float64, ma*lda)
for i := range a {
a[i] = rnd.Float64()
}
// Compute random C matrix
ldc := test.ldc
if ldc == 0 {
ldc = nc
}
c := make([]float64, mc*ldc)
for i := range c {
c[i] = rnd.Float64()
}
// Compute LQ
k := min(ma, na)
tau := make([]float64, k)
work := make([]float64, 1)
impl.Dgelqf(ma, na, a, lda, tau, work, -1)
work = make([]float64, int(work[0]))
impl.Dgelqf(ma, na, a, lda, tau, work, len(work))
cCopy := make([]float64, len(c))
copy(cCopy, c)
ans := make([]float64, len(c))
copy(ans, cCopy)
var nw int
if side == blas.Left {
nw = nc
} else {
nw = mc
}
work = make([]float64, max(1, nw))
impl.Dorml2(side, trans, mc, nc, k, a, lda, tau, ans, ldc, work)
var lwork int
switch wl {
case minimumWork:
lwork = nw
case optimumWork:
impl.Dormlq(side, trans, mc, nc, k, a, lda, tau, c, ldc, work, -1)
lwork = int(work[0])
case mediumWork:
work := make([]float64, 1)
impl.Dormlq(side, trans, mc, nc, k, a, lda, tau, c, ldc, work, -1)
lwork = (int(work[0]) + nw) / 2
}
lwork = max(1, lwork)
work = make([]float64, lwork)
impl.Dormlq(side, trans, mc, nc, k, a, lda, tau, c, ldc, work, lwork)
if !floats.EqualApprox(c, ans, 1e-13) {
t.Errorf("Dormqr and Dorm2r results mismatch")
}
}
}
}
}
}
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