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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 Dgetrser interface {
Dgetrfer
Dgetrs(trans blas.Transpose, n, nrhs int, a []float64, lda int, ipiv []int, b []float64, ldb int)
}
func DgetrsTest(t *testing.T, impl Dgetrser) {
rnd := rand.New(rand.NewSource(1))
// TODO(btracey): Put more thought into creating more regularized matrices
// and what correct tolerances should be. Consider also seeding the random
// number in this test to make it more robust to code changes in other
// parts of the suite.
for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans} {
for _, test := range []struct {
n, nrhs, lda, ldb int
tol float64
}{
{3, 3, 0, 0, 1e-12},
{3, 5, 0, 0, 1e-12},
{5, 3, 0, 0, 1e-12},
{3, 3, 8, 10, 1e-12},
{3, 5, 8, 10, 1e-12},
{5, 3, 8, 10, 1e-12},
{300, 300, 0, 0, 1e-8},
{300, 500, 0, 0, 1e-8},
{500, 300, 0, 0, 1e-6},
{300, 300, 700, 600, 1e-8},
{300, 500, 700, 600, 1e-8},
{500, 300, 700, 600, 1e-6},
} {
n := test.n
nrhs := test.nrhs
lda := test.lda
if lda == 0 {
lda = n
}
ldb := test.ldb
if ldb == 0 {
ldb = nrhs
}
a := make([]float64, n*lda)
for i := range a {
a[i] = rnd.Float64()
}
b := make([]float64, n*ldb)
for i := range b {
b[i] = rnd.Float64()
}
aCopy := make([]float64, len(a))
copy(aCopy, a)
bCopy := make([]float64, len(b))
copy(bCopy, b)
ipiv := make([]int, n)
for i := range ipiv {
ipiv[i] = rnd.Int()
}
// Compute the LU factorization.
impl.Dgetrf(n, n, a, lda, ipiv)
// Solve the system of equations given the result.
impl.Dgetrs(trans, n, nrhs, a, lda, ipiv, b, ldb)
// Check that the system of equations holds.
A := blas64.General{
Rows: n,
Cols: n,
Stride: lda,
Data: aCopy,
}
B := blas64.General{
Rows: n,
Cols: nrhs,
Stride: ldb,
Data: bCopy,
}
X := blas64.General{
Rows: n,
Cols: nrhs,
Stride: ldb,
Data: b,
}
tmp := blas64.General{
Rows: n,
Cols: nrhs,
Stride: ldb,
Data: make([]float64, n*ldb),
}
copy(tmp.Data, bCopy)
blas64.Gemm(trans, blas.NoTrans, 1, A, X, 0, B)
if !floats.EqualApprox(tmp.Data, bCopy, test.tol) {
t.Errorf("Linear solve mismatch. trans = %v, n = %v, nrhs = %v, lda = %v, ldb = %v", trans, n, nrhs, lda, ldb)
}
}
}
}
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