+++ /dev/null
-// 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"
- "testing"
-
- "golang.org/x/exp/rand"
-
- "gonum.org/v1/gonum/blas/blas64"
- "gonum.org/v1/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) {
- rnd := rand.New(rand.NewSource(1))
- 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] = rnd.Float64() - 0.5
- }
- work := make([]float64, n)
- for i := range work {
- work[i] = rnd.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{Inc: 1, Data: 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{Inc: lda, Data: 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{Inc: 1, Data: 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{Inc: 1, Data: 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)
- }
- }
-}