mirror of
https://github.com/gonum/gonum.git
synced 2025-10-31 10:36:30 +08:00
104 lines
2.0 KiB
Go
104 lines
2.0 KiB
Go
// 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 Dgelq2er interface {
|
|
Dgelq2(m, n int, a []float64, lda int, tau, work []float64)
|
|
}
|
|
|
|
func Dgelq2Test(t *testing.T, impl Dgelq2er) {
|
|
const tol = 1e-14
|
|
|
|
rnd := rand.New(rand.NewSource(1))
|
|
for c, test := range []struct {
|
|
m, n, lda int
|
|
}{
|
|
{1, 1, 0},
|
|
{2, 2, 0},
|
|
{3, 2, 0},
|
|
{2, 3, 0},
|
|
{1, 12, 0},
|
|
{2, 6, 0},
|
|
{3, 4, 0},
|
|
{4, 3, 0},
|
|
{6, 2, 0},
|
|
{1, 12, 0},
|
|
{1, 1, 20},
|
|
{2, 2, 20},
|
|
{3, 2, 20},
|
|
{2, 3, 20},
|
|
{1, 12, 20},
|
|
{2, 6, 20},
|
|
{3, 4, 20},
|
|
{4, 3, 20},
|
|
{6, 2, 20},
|
|
{1, 12, 20},
|
|
} {
|
|
n := test.n
|
|
m := test.m
|
|
lda := test.lda
|
|
if lda == 0 {
|
|
lda = test.n
|
|
}
|
|
k := min(m, n)
|
|
tau := make([]float64, k)
|
|
for i := range tau {
|
|
tau[i] = rnd.Float64()
|
|
}
|
|
work := make([]float64, m)
|
|
for i := range work {
|
|
work[i] = rnd.Float64()
|
|
}
|
|
a := make([]float64, m*lda)
|
|
for i := 0; i < m*lda; i++ {
|
|
a[i] = rnd.Float64()
|
|
}
|
|
aCopy := make([]float64, len(a))
|
|
copy(aCopy, a)
|
|
impl.Dgelq2(m, n, a, lda, tau, work)
|
|
|
|
Q := constructQ("LQ", m, n, a, lda, tau)
|
|
|
|
// Check that Q is orthogonal.
|
|
if resid := residualOrthogonal(Q, false); resid > tol {
|
|
t.Errorf("Case %v: Q not orthogonal; resid=%v, want<=%v", c, resid, tol)
|
|
}
|
|
|
|
L := blas64.General{
|
|
Rows: m,
|
|
Cols: n,
|
|
Stride: n,
|
|
Data: make([]float64, m*n),
|
|
}
|
|
for i := 0; i < m; i++ {
|
|
for j := 0; j <= min(i, n-1); j++ {
|
|
L.Data[i*L.Stride+j] = a[i*lda+j]
|
|
}
|
|
}
|
|
|
|
ans := blas64.General{
|
|
Rows: m,
|
|
Cols: n,
|
|
Stride: lda,
|
|
Data: make([]float64, m*lda),
|
|
}
|
|
copy(ans.Data, aCopy)
|
|
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, L, Q, 0, ans)
|
|
if !floats.EqualApprox(aCopy, ans.Data, tol) {
|
|
t.Errorf("Case %v, LQ mismatch. Want %v, got %v.", c, aCopy, ans.Data)
|
|
}
|
|
}
|
|
}
|