+++ /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"
- "gonum.org/v1/gonum/floats"
- "gonum.org/v1/gonum/lapack"
-)
-
-type Dtrconer interface {
- Dgeconer
- Dtrcon(norm lapack.MatrixNorm, uplo blas.Uplo, diag blas.Diag, n int, a []float64, lda int, work []float64, iwork []int) float64
-}
-
-func DtrconTest(t *testing.T, impl Dtrconer) {
- rnd := rand.New(rand.NewSource(1))
- // Hand crafted tests.
- for _, test := range []struct {
- a []float64
- n int
- uplo blas.Uplo
- diag blas.Diag
- condOne float64
- condInf float64
- }{
- {
- a: []float64{
- 8, 5, 6,
- 0, 7, 8,
- 0, 0, 6,
- },
- n: 3,
- uplo: blas.Upper,
- diag: blas.Unit,
- condOne: 1.0 / 645,
- condInf: 1.0 / 480,
- },
- {
- a: []float64{
- 8, 5, 6,
- 0, 7, 8,
- 0, 0, 6,
- },
- n: 3,
- uplo: blas.Upper,
- diag: blas.NonUnit,
- condOne: 0.137704918032787,
- condInf: 0.157894736842105,
- },
- {
- a: []float64{
- 8, 0, 0,
- 5, 7, 0,
- 6, 8, 6,
- },
- n: 3,
- uplo: blas.Lower,
- diag: blas.Unit,
- condOne: 1.0 / 480,
- condInf: 1.0 / 645,
- },
- {
- a: []float64{
- 8, 0, 0,
- 5, 7, 0,
- 6, 8, 6,
- },
- n: 3,
- uplo: blas.Lower,
- diag: blas.NonUnit,
- condOne: 0.157894736842105,
- condInf: 0.137704918032787,
- },
- } {
- lda := test.n
- work := make([]float64, 3*test.n)
- for i := range work {
- work[i] = rnd.Float64()
- }
- iwork := make([]int, test.n)
- for i := range iwork {
- iwork[i] = int(rnd.Int31())
- }
- aCopy := make([]float64, len(test.a))
- copy(aCopy, test.a)
- condOne := impl.Dtrcon(lapack.MaxColumnSum, test.uplo, test.diag, test.n, test.a, lda, work, iwork)
- if math.Abs(condOne-test.condOne) > 1e-14 {
- t.Errorf("One norm mismatch. Want %v, got %v.", test.condOne, condOne)
- }
- if !floats.Equal(aCopy, test.a) {
- t.Errorf("a modified during call")
- }
- condInf := impl.Dtrcon(lapack.MaxRowSum, test.uplo, test.diag, test.n, test.a, lda, work, iwork)
- if math.Abs(condInf-test.condInf) > 1e-14 {
- t.Errorf("Inf norm mismatch. Want %v, got %v.", test.condInf, condInf)
- }
- if !floats.Equal(aCopy, test.a) {
- t.Errorf("a modified during call")
- }
- }
-
- // Dtrcon does not match the Dgecon output in many cases. See
- // https://github.com/xianyi/OpenBLAS/issues/636
- // TODO(btracey): Uncomment this when the mismatch between Dgecon and Dtrcon
- // is understood.
- /*
- // Randomized tests against Dgecon.
- for _, uplo := range []blas.Uplo{blas.Lower, blas.Upper} {
- for _, diag := range []blas.Diag{blas.NonUnit, blas.Unit} {
- for _, test := range []struct {
- n, lda int
- }{
- {3, 0},
- {4, 9},
- } {
- for trial := 0; trial < 1; trial++ {
- n := test.n
- lda := test.lda
- if lda == 0 {
- lda = n
- }
- a := make([]float64, n*lda)
- if trial == 0 {
- for i := range a {
- a[i] = float64(i + 2)
- }
- } else {
- for i := range a {
- a[i] = rnd.NormFloat64()
- }
- }
-
- aDense := make([]float64, len(a))
- if uplo == blas.Upper {
- for i := 0; i < n; i++ {
- for j := i; j < n; j++ {
- aDense[i*lda+j] = a[i*lda+j]
- }
- }
- } else {
- for i := 0; i < n; i++ {
- for j := 0; j <= i; j++ {
- aDense[i*lda+j] = a[i*lda+j]
- }
- }
- }
- if diag == blas.Unit {
- for i := 0; i < n; i++ {
- aDense[i*lda+i] = 1
- }
- }
-
- ipiv := make([]int, n)
- work := make([]float64, 4*n)
- denseOne := impl.Dlange(lapack.MaxColumnSum, n, n, aDense, lda, work)
- denseInf := impl.Dlange(lapack.MaxRowSum, n, n, aDense, lda, work)
-
- aDenseLU := make([]float64, len(aDense))
- copy(aDenseLU, aDense)
- impl.Dgetrf(n, n, aDenseLU, lda, ipiv)
- iwork := make([]int, n)
- want := impl.Dgecon(lapack.MaxColumnSum, n, aDenseLU, lda, denseOne, work, iwork)
- got := impl.Dtrcon(lapack.MaxColumnSum, uplo, diag, n, a, lda, work, iwork)
- if math.Abs(want-got) > 1e-14 {
- t.Errorf("One norm mismatch. Upper = %v, unit = %v, want %v, got %v", uplo == blas.Upper, diag == blas.Unit, want, got)
- }
- want = impl.Dgecon(lapack.MaxRowSum, n, aDenseLU, lda, denseInf, work, iwork)
- got = impl.Dtrcon(lapack.MaxRowSum, uplo, diag, n, a, lda, work, iwork)
- if math.Abs(want-got) > 1e-14 {
- t.Errorf("Inf norm mismatch. Upper = %v, unit = %v, want %v, got %v", uplo == blas.Upper, diag == blas.Unit, want, got)
- }
- }
- }
- }
- }
- */
-}
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