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dlange.go
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dlange.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 (
"math"
"math/rand"
"testing"
"github.com/gonum/blas/blas64"
"github.com/gonum/lapack"
)
type Dlanger interface {
Dlange(norm lapack.MatrixNorm, m, n int, a []float64, lda int, work []float64) float64
}
func DlangeTest(t *testing.T, impl Dlanger) {
for _, test := range []struct {
m, n, lda int
}{
{4, 3, 0},
{3, 4, 0},
{4, 3, 100},
{3, 4, 100},
} {
m := test.m
n := test.n
lda := test.lda
if lda == 0 {
lda = n
}
a := make([]float64, m*lda)
for i := range a {
a[i] = (rand.Float64() - 0.5)
}
work := make([]float64, n)
for i := range work {
work[i] = rand.Float64()
}
aCopy := make([]float64, len(a))
copy(aCopy, a)
// Test MaxAbs norm.
norm := impl.Dlange(lapack.MaxAbs, m, n, a, lda, work)
var ans float64
for i := 0; i < m; i++ {
idx := blas64.Iamax(n, blas64.Vector{1, aCopy[i*lda:]})
ans = math.Max(ans, math.Abs(a[i*lda+idx]))
}
// Should be strictly equal because there is no floating point summation error.
if ans != norm {
t.Errorf("MaxAbs mismatch. Want %v, got %v.", ans, norm)
}
// Test MaxColumnSum norm.
norm = impl.Dlange(lapack.MaxColumnSum, m, n, a, lda, work)
ans = 0
for i := 0; i < n; i++ {
sum := blas64.Asum(m, blas64.Vector{lda, aCopy[i:]})
ans = math.Max(ans, sum)
}
if math.Abs(norm-ans) > 1e-14 {
t.Errorf("MaxColumnSum mismatch. Want %v, got %v.", ans, norm)
}
// Test MaxRowSum norm.
norm = impl.Dlange(lapack.MaxRowSum, m, n, a, lda, work)
ans = 0
for i := 0; i < m; i++ {
sum := blas64.Asum(n, blas64.Vector{1, aCopy[i*lda:]})
ans = math.Max(ans, sum)
}
if math.Abs(norm-ans) > 1e-14 {
t.Errorf("MaxRowSum mismatch. Want %v, got %v.", ans, norm)
}
// Test Frobenius norm
norm = impl.Dlange(lapack.NormFrob, m, n, a, lda, work)
ans = 0
for i := 0; i < m; i++ {
sum := blas64.Nrm2(n, blas64.Vector{1, aCopy[i*lda:]})
ans += sum * sum
}
ans = math.Sqrt(ans)
if math.Abs(norm-ans) > 1e-14 {
t.Errorf("NormFrob mismatch. Want %v, got %v.", ans, norm)
}
}
}