mirror of
https://github.com/gonum/gonum.git
synced 2025-10-31 02:26:59 +08:00
104 lines
2.7 KiB
Go
104 lines
2.7 KiB
Go
// Copyright ©2017 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"
|
|
"testing"
|
|
|
|
"golang.org/x/exp/rand"
|
|
|
|
"gonum.org/v1/gonum/blas"
|
|
"gonum.org/v1/gonum/blas/blas64"
|
|
"gonum.org/v1/gonum/lapack"
|
|
)
|
|
|
|
type Dlaqpser interface {
|
|
Dlapmter
|
|
Dlaqps(m, n, offset, nb int, a []float64, lda int, jpvt []int, tau, vn1, vn2, auxv, f []float64, ldf int) (kb int)
|
|
}
|
|
|
|
func DlaqpsTest(t *testing.T, impl Dlaqpser) {
|
|
const tol = 1e-14
|
|
|
|
rnd := rand.New(rand.NewSource(1))
|
|
for ti, test := range []struct {
|
|
m, n, nb, offset int
|
|
}{
|
|
{m: 4, n: 3, nb: 2, offset: 0},
|
|
{m: 4, n: 3, nb: 1, offset: 2},
|
|
{m: 3, n: 4, nb: 2, offset: 0},
|
|
{m: 3, n: 4, nb: 1, offset: 2},
|
|
{m: 8, n: 3, nb: 2, offset: 0},
|
|
{m: 8, n: 3, nb: 1, offset: 4},
|
|
{m: 3, n: 8, nb: 2, offset: 0},
|
|
{m: 3, n: 8, nb: 1, offset: 1},
|
|
{m: 10, n: 10, nb: 3, offset: 0},
|
|
{m: 10, n: 10, nb: 2, offset: 5},
|
|
} {
|
|
m := test.m
|
|
n := test.n
|
|
jpiv := make([]int, n)
|
|
|
|
for _, extra := range []int{0, 11} {
|
|
a := randomGeneral(m, n, n+extra, rnd)
|
|
aCopy := cloneGeneral(a)
|
|
|
|
for j := range jpiv {
|
|
jpiv[j] = j
|
|
}
|
|
|
|
tau := make([]float64, n)
|
|
vn1 := columnNorms(m, n, a.Data, a.Stride)
|
|
vn2 := columnNorms(m, n, a.Data, a.Stride)
|
|
auxv := make([]float64, test.nb)
|
|
f := zeros(test.n, test.nb, n)
|
|
|
|
kb := impl.Dlaqps(m, n, test.offset, test.nb, a.Data, a.Stride, jpiv, tau, vn1, vn2, auxv, f.Data, f.Stride)
|
|
|
|
prefix := fmt.Sprintf("Case %v (m=%v,n=%v,offset=%d,nb=%v,extra=%v)", ti, m, n, test.offset, test.nb, extra)
|
|
|
|
if !generalOutsideAllNaN(a) {
|
|
t.Errorf("%v: out-of-range write to A", prefix)
|
|
}
|
|
if kb != test.nb {
|
|
t.Logf("%v: %v columns out of %v factorized", prefix, kb, test.nb)
|
|
}
|
|
|
|
mo := m - test.offset
|
|
if mo == 0 {
|
|
continue
|
|
}
|
|
|
|
q := constructQ("QR", mo, kb, a.Data[test.offset*a.Stride:], a.Stride, tau)
|
|
|
|
// Check that Q is orthogonal.
|
|
if resid := residualOrthogonal(q, false); resid > tol {
|
|
t.Errorf("%v: Q is not orthogonal; resid=%v, want<=%v", prefix, resid, tol)
|
|
}
|
|
|
|
// Check that |A*P - Q*R| is small.
|
|
impl.Dlapmt(true, aCopy.Rows, aCopy.Cols, aCopy.Data, aCopy.Stride, jpiv)
|
|
qrap := blas64.General{
|
|
Rows: mo,
|
|
Cols: kb,
|
|
Stride: aCopy.Stride,
|
|
Data: aCopy.Data[test.offset*aCopy.Stride:],
|
|
}
|
|
r := zeros(mo, kb, n)
|
|
for i := 0; i < mo; i++ {
|
|
for j := i; j < kb; j++ {
|
|
r.Data[i*r.Stride+j] = a.Data[(test.offset+i)*a.Stride+j]
|
|
}
|
|
}
|
|
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, q, r, -1, qrap)
|
|
resid := dlange(lapack.MaxColumnSum, qrap.Rows, qrap.Cols, qrap.Data, qrap.Stride)
|
|
if resid > tol {
|
|
t.Errorf("%v: |Q*R - A*P|=%v, want<=%v", prefix, resid, tol)
|
|
}
|
|
}
|
|
}
|
|
}
|