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109 lines
2.8 KiB
Go
109 lines
2.8 KiB
Go
// Copyright ©2021 The Gonum Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package testlapack
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import (
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"fmt"
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"math"
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"math/rand/v2"
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"testing"
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"gonum.org/v1/gonum/floats"
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"gonum.org/v1/gonum/lapack"
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)
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type Dlangber interface {
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Dlangb(norm lapack.MatrixNorm, m, n, kl, ku int, ab []float64, ldab int) float64
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}
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func DlangbTest(t *testing.T, impl Dlangber) {
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rnd := rand.New(rand.NewPCG(1, 1))
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for _, norm := range []lapack.MatrixNorm{lapack.MaxAbs, lapack.MaxRowSum, lapack.MaxColumnSum, lapack.Frobenius} {
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t.Run(normToString(norm), func(t *testing.T) {
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for _, n := range []int{0, 1, 2, 3, 4, 5, 10} {
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for _, m := range []int{0, 1, 2, 3, 4, 5, 10} {
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for _, kl := range []int{0, 1, 2, 3, 4, 5, 10} {
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for _, ku := range []int{0, 1, 2, 3, 4, 5, 10} {
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for _, ldab := range []int{kl + ku + 1, kl + ku + 1 + 7} {
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dlangbTest(t, impl, rnd, norm, m, n, kl, ku, ldab)
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}
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}
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}
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}
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}
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})
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}
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}
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func dlangbTest(t *testing.T, impl Dlangber, rnd *rand.Rand, norm lapack.MatrixNorm, m, n, kl, ku, ldab int) {
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const tol = 1e-14
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name := fmt.Sprintf("m=%v,n=%v,kl=%v,ku=%v,ldab=%v", m, n, kl, ku, ldab)
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// Generate a random band matrix.
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ab := randomSlice(m*ldab, rnd)
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// Sometimes put a NaN into the matrix.
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if m > 0 && n > 0 && rnd.Float64() < 0.5 {
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i := rnd.IntN(m)
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ab[i*ldab+kl] = math.NaN()
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}
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abCopy := make([]float64, len(ab))
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copy(abCopy, ab)
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// Deal with zero-sized matrices early.
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if m == 0 || n == 0 {
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got := impl.Dlangb(norm, m, n, kl, ku, nil, ldab)
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if got != 0 {
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t.Errorf("%v: unexpected result for zero-sized matrix with nil input", name)
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}
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got = impl.Dlangb(norm, m, n, kl, ku, ab, ldab)
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if !floats.Same(ab, abCopy) {
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t.Errorf("%v: unexpected modification in dl", name)
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}
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if got != 0 {
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t.Errorf("%v: unexpected result for zero-sized matrix with non-nil input", name)
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}
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return
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}
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got := impl.Dlangb(norm, m, n, kl, ku, ab, ldab)
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if !floats.Same(ab, abCopy) {
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t.Errorf("%v: unexpected modification in ab", name)
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}
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// Generate a dense representation of the matrix and compute the wanted result.
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a := zeros(m, n, n)
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for i := 0; i < m; i++ {
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for j := max(0, i-kl); j < min(i+ku+1, n); j++ {
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a.Data[i*a.Stride+j] = ab[i*ldab+j-i+kl]
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}
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}
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want := dlange(norm, a.Rows, a.Cols, a.Data, a.Stride)
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if math.IsNaN(want) {
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if !math.IsNaN(got) {
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t.Errorf("%v: unexpected result with NaN element; got %v, want %v", name, got, want)
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}
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return
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}
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if math.IsNaN(got) {
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t.Errorf("%v: unexpected NaN; want %v", name, want)
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return
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}
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if norm == lapack.MaxAbs {
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if got != want {
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t.Errorf("%v: unexpected result; got %v, want %v", name, got, want)
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}
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return
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}
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diff := math.Abs(got - want)
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if diff > tol {
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t.Errorf("%v: unexpected result; got %v, want %v, diff=%v", name, got, want, diff)
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}
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}
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