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dlarf.go
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dlarf.go
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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 Dlarfer interface {
Dlarf(side blas.Side, m, n int, v []float64, incv int, tau float64, c []float64, ldc int, work []float64)
}
func DlarfTest(t *testing.T, impl Dlarfer) {
rnd := rand.New(rand.NewSource(1))
for i, test := range []struct {
m, n, ldc int
incv, lastv int
lastr, lastc int
tau float64
}{
{
m: 3,
n: 2,
ldc: 2,
incv: 4,
lastv: 1,
lastr: 2,
lastc: 1,
tau: 2,
},
{
m: 2,
n: 3,
ldc: 3,
incv: 4,
lastv: 1,
lastr: 1,
lastc: 2,
tau: 2,
},
{
m: 2,
n: 3,
ldc: 3,
incv: 4,
lastv: 1,
lastr: 0,
lastc: 1,
tau: 2,
},
{
m: 2,
n: 3,
ldc: 3,
incv: 4,
lastv: 0,
lastr: 0,
lastc: 1,
tau: 2,
},
{
m: 10,
n: 10,
ldc: 10,
incv: 4,
lastv: 6,
lastr: 9,
lastc: 8,
tau: 2,
},
} {
// Construct a random matrix.
c := make([]float64, test.ldc*test.m)
for i := 0; i <= test.lastr; i++ {
for j := 0; j <= test.lastc; j++ {
c[i*test.ldc+j] = rnd.Float64()
}
}
cCopy := make([]float64, len(c))
copy(cCopy, c)
cCopy2 := make([]float64, len(c))
copy(cCopy2, c)
// Test with side right.
sz := max(test.m, test.n) // so v works for both right and left side.
v := make([]float64, test.incv*sz+1)
// Fill with nonzero entries up until lastv.
for i := 0; i <= test.lastv; i++ {
v[i*test.incv] = rnd.Float64()
}
// Construct h explicitly to compare.
h := make([]float64, test.n*test.n)
for i := 0; i < test.n; i++ {
h[i*test.n+i] = 1
}
hMat := blas64.General{
Rows: test.n,
Cols: test.n,
Stride: test.n,
Data: h,
}
vVec := blas64.Vector{
Inc: test.incv,
Data: v,
}
blas64.Ger(-test.tau, vVec, vVec, hMat)
// Apply multiplication (2nd copy is to avoid aliasing).
cMat := blas64.General{
Rows: test.m,
Cols: test.n,
Stride: test.ldc,
Data: cCopy,
}
cMat2 := blas64.General{
Rows: test.m,
Cols: test.n,
Stride: test.ldc,
Data: cCopy2,
}
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, cMat2, hMat, 0, cMat)
// cMat now stores the true answer. Compare with the function call.
work := make([]float64, sz)
impl.Dlarf(blas.Right, test.m, test.n, v, test.incv, test.tau, c, test.ldc, work)
if !floats.EqualApprox(c, cMat.Data, 1e-14) {
t.Errorf("Dlarf mismatch right, case %v. Want %v, got %v", i, cMat.Data, c)
}
// Test on the left side.
copy(c, cCopy2)
copy(cCopy, c)
// Construct h.
h = make([]float64, test.m*test.m)
for i := 0; i < test.m; i++ {
h[i*test.m+i] = 1
}
hMat = blas64.General{
Rows: test.m,
Cols: test.m,
Stride: test.m,
Data: h,
}
blas64.Ger(-test.tau, vVec, vVec, hMat)
blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, hMat, cMat2, 0, cMat)
impl.Dlarf(blas.Left, test.m, test.n, v, test.incv, test.tau, c, test.ldc, work)
if !floats.EqualApprox(c, cMat.Data, 1e-14) {
t.Errorf("Dlarf mismatch left, case %v. Want %v, got %v", i, cMat.Data, c)
}
}
}