+++ /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"
- "gonum.org/v1/gonum/floats"
-)
-
-type Dtrti2er interface {
- Dtrti2(uplo blas.Uplo, diag blas.Diag, n int, a []float64, lda int)
-}
-
-func Dtrti2Test(t *testing.T, impl Dtrti2er) {
- const tol = 1e-14
- for _, test := range []struct {
- a []float64
- n int
- uplo blas.Uplo
- diag blas.Diag
- ans []float64
- }{
- {
- a: []float64{
- 2, 3, 4,
- 0, 5, 6,
- 8, 0, 8},
- n: 3,
- uplo: blas.Upper,
- diag: blas.NonUnit,
- ans: []float64{
- 0.5, -0.3, -0.025,
- 0, 0.2, -0.15,
- 8, 0, 0.125,
- },
- },
- {
- a: []float64{
- 5, 3, 4,
- 0, 7, 6,
- 10, 0, 8},
- n: 3,
- uplo: blas.Upper,
- diag: blas.Unit,
- ans: []float64{
- 5, -3, 14,
- 0, 7, -6,
- 10, 0, 8,
- },
- },
- {
- a: []float64{
- 2, 0, 0,
- 3, 5, 0,
- 4, 6, 8},
- n: 3,
- uplo: blas.Lower,
- diag: blas.NonUnit,
- ans: []float64{
- 0.5, 0, 0,
- -0.3, 0.2, 0,
- -0.025, -0.15, 0.125,
- },
- },
- {
- a: []float64{
- 1, 0, 0,
- 3, 1, 0,
- 4, 6, 1},
- n: 3,
- uplo: blas.Lower,
- diag: blas.Unit,
- ans: []float64{
- 1, 0, 0,
- -3, 1, 0,
- 14, -6, 1,
- },
- },
- } {
- impl.Dtrti2(test.uplo, test.diag, test.n, test.a, test.n)
- if !floats.EqualApprox(test.ans, test.a, tol) {
- t.Errorf("Matrix inverse mismatch. Want %v, got %v.", test.ans, test.a)
- }
- }
- 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
- }{
- {1, 0},
- {2, 0},
- {3, 0},
- {1, 5},
- {2, 5},
- {3, 5},
- } {
- n := test.n
- lda := test.lda
- if lda == 0 {
- lda = n
- }
- a := make([]float64, n*lda)
- for i := range a {
- a[i] = rnd.Float64()
- }
- aCopy := make([]float64, len(a))
- copy(aCopy, a)
- impl.Dtrti2(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, ans = %v", uplo == blas.Upper, diag == blas.Unit, ans)
- }
- }
- }
- }
-}
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