+++ /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/blas/blas64"
-)
-
-type Dtrtrier interface {
- Dtrconer
- Dtrtri(uplo blas.Uplo, diag blas.Diag, n int, a []float64, lda int) bool
-}
-
-func DtrtriTest(t *testing.T, impl Dtrtrier) {
- const tol = 1e-10
- rnd := rand.New(rand.NewSource(1))
- bi := blas64.Implementation()
- for _, uplo := range []blas.Uplo{blas.Upper, blas.Lower} {
- for _, diag := range []blas.Diag{blas.NonUnit, blas.Unit} {
- for _, test := range []struct {
- n, lda int
- }{
- {3, 0},
- {70, 0},
- {200, 0},
- {3, 5},
- {70, 92},
- {200, 205},
- } {
- n := test.n
- lda := test.lda
- if lda == 0 {
- lda = n
- }
- a := make([]float64, n*lda)
- for i := range a {
- a[i] = rnd.Float64()
- }
- for i := 0; i < n; i++ {
- // This keeps the matrices well conditioned.
- a[i*lda+i] += float64(n)
- }
- aCopy := make([]float64, len(a))
- copy(aCopy, a)
- impl.Dtrtri(uplo, diag, n, a, lda)
- if uplo == blas.Upper {
- for i := 1; i < n; i++ {
- for j := 0; j < i; j++ {
- aCopy[i*lda+j] = 0
- a[i*lda+j] = 0
- }
- }
- } else {
- for i := 0; i < n; i++ {
- for j := i + 1; j < n; j++ {
- aCopy[i*lda+j] = 0
- a[i*lda+j] = 0
- }
- }
- }
- if diag == blas.Unit {
- for i := 0; i < n; i++ {
- a[i*lda+i] = 1
- aCopy[i*lda+i] = 1
- }
- }
- ans := make([]float64, len(a))
- bi.Dgemm(blas.NoTrans, blas.NoTrans, n, n, n, 1, a, lda, aCopy, lda, 0, ans, lda)
- iseye := true
- for i := 0; i < n; i++ {
- for j := 0; j < n; j++ {
- if i == j {
- if math.Abs(ans[i*lda+i]-1) > tol {
- iseye = false
- break
- }
- } else {
- if math.Abs(ans[i*lda+j]) > tol {
- iseye = false
- break
- }
- }
- }
- }
- if !iseye {
- t.Errorf("inv(A) * A != I. Upper = %v, unit = %v, n = %v, lda = %v",
- uplo == blas.Upper, diag == blas.Unit, n, lda)
- }
- }
- }
- }
-}