--- /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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