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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"
"gonum.org/v1/gonum/lapack"
)
type Dlarfber interface {
Dlarfter
Dlarfb(side blas.Side, trans blas.Transpose, direct lapack.Direct,
store lapack.StoreV, m, n, k int, v []float64, ldv int, t []float64, ldt int,
c []float64, ldc int, work []float64, ldwork int)
}
func DlarfbTest(t *testing.T, impl Dlarfber) {
rnd := rand.New(rand.NewSource(1))
for _, store := range []lapack.StoreV{lapack.ColumnWise, lapack.RowWise} {
for _, direct := range []lapack.Direct{lapack.Forward, lapack.Backward} {
for _, side := range []blas.Side{blas.Left, blas.Right} {
for _, trans := range []blas.Transpose{blas.Trans, blas.NoTrans} {
for cas, test := range []struct {
ma, na, cdim, lda, ldt, ldc int
}{
{6, 6, 6, 0, 0, 0},
{6, 8, 10, 0, 0, 0},
{6, 10, 8, 0, 0, 0},
{8, 6, 10, 0, 0, 0},
{8, 10, 6, 0, 0, 0},
{10, 6, 8, 0, 0, 0},
{10, 8, 6, 0, 0, 0},
{6, 6, 6, 12, 15, 30},
{6, 8, 10, 12, 15, 30},
{6, 10, 8, 12, 15, 30},
{8, 6, 10, 12, 15, 30},
{8, 10, 6, 12, 15, 30},
{10, 6, 8, 12, 15, 30},
{10, 8, 6, 12, 15, 30},
{6, 6, 6, 15, 12, 30},
{6, 8, 10, 15, 12, 30},
{6, 10, 8, 15, 12, 30},
{8, 6, 10, 15, 12, 30},
{8, 10, 6, 15, 12, 30},
{10, 6, 8, 15, 12, 30},
{10, 8, 6, 15, 12, 30},
} {
// Generate a matrix for QR
ma := test.ma
na := test.na
lda := test.lda
if lda == 0 {
lda = na
}
a := make([]float64, ma*lda)
for i := 0; i < ma; i++ {
for j := 0; j < lda; j++ {
a[i*lda+j] = rnd.Float64()
}
}
k := min(ma, na)
// H is always ma x ma
var m, n, rowsWork int
switch {
default:
panic("not implemented")
case side == blas.Left:
m = test.ma
n = test.cdim
rowsWork = n
case side == blas.Right:
m = test.cdim
n = test.ma
rowsWork = m
}
// Use dgeqr2 to find the v vectors
tau := make([]float64, k)
work := make([]float64, na)
impl.Dgeqr2(ma, k, a, lda, tau, work)
// Correct the v vectors based on the direct and store
vMatTmp := extractVMat(ma, na, a, lda, lapack.Forward, lapack.ColumnWise)
vMat := constructVMat(vMatTmp, store, direct)
v := vMat.Data
ldv := vMat.Stride
// Use dlarft to find the t vector
ldt := test.ldt
if ldt == 0 {
ldt = k
}
tm := make([]float64, k*ldt)
impl.Dlarft(direct, store, ma, k, v, ldv, tau, tm, ldt)
// Generate c matrix
ldc := test.ldc
if ldc == 0 {
ldc = n
}
c := make([]float64, m*ldc)
for i := 0; i < m; i++ {
for j := 0; j < ldc; j++ {
c[i*ldc+j] = rnd.Float64()
}
}
cCopy := make([]float64, len(c))
copy(cCopy, c)
ldwork := k
work = make([]float64, rowsWork*k)
// Call Dlarfb with this information
impl.Dlarfb(side, trans, direct, store, m, n, k, v, ldv, tm, ldt, c, ldc, work, ldwork)
h := constructH(tau, vMat, store, direct)
cMat := blas64.General{
Rows: m,
Cols: n,
Stride: ldc,
Data: make([]float64, m*ldc),
}
copy(cMat.Data, cCopy)
ans := blas64.General{
Rows: m,
Cols: n,
Stride: ldc,
Data: make([]float64, m*ldc),
}
copy(ans.Data, cMat.Data)
switch {
default:
panic("not implemented")
case side == blas.Left && trans == blas.NoTrans:
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, h, cMat, 0, ans)
case side == blas.Left && trans == blas.Trans:
blas64.Gemm(blas.Trans, blas.NoTrans, 1, h, cMat, 0, ans)
case side == blas.Right && trans == blas.NoTrans:
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, cMat, h, 0, ans)
case side == blas.Right && trans == blas.Trans:
blas64.Gemm(blas.NoTrans, blas.Trans, 1, cMat, h, 0, ans)
}
if !floats.EqualApprox(ans.Data, c, 1e-14) {
t.Errorf("Cas %v mismatch. Want %v, got %v.", cas, ans.Data, c)
}
}
}
}
}
}
}
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