+++ /dev/null
-// Copyright ©2016 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 (
- "fmt"
- "math"
- "testing"
-
- "golang.org/x/exp/rand"
-
- "gonum.org/v1/gonum/blas"
- "gonum.org/v1/gonum/blas/blas64"
-)
-
-type Dlasy2er interface {
- Dlasy2(tranl, tranr bool, isgn, n1, n2 int, tl []float64, ldtl int, tr []float64, ldtr int, b []float64, ldb int, x []float64, ldx int) (scale, xnorm float64, ok bool)
-}
-
-func Dlasy2Test(t *testing.T, impl Dlasy2er) {
- rnd := rand.New(rand.NewSource(1))
- for _, tranl := range []bool{true, false} {
- for _, tranr := range []bool{true, false} {
- for _, isgn := range []int{1, -1} {
- for _, n1 := range []int{0, 1, 2} {
- for _, n2 := range []int{0, 1, 2} {
- for _, extra := range []int{0, 1, 2, 13} {
- for cas := 0; cas < 1000; cas++ {
- testDlasy2(t, impl, tranl, tranr, isgn, n1, n2, extra, rnd)
- }
- }
- }
- }
- }
- }
- }
-}
-
-func testDlasy2(t *testing.T, impl Dlasy2er, tranl, tranr bool, isgn, n1, n2, extra int, rnd *rand.Rand) {
- const tol = 1e-10
-
- tl := randomGeneral(n1, n1, n1+extra, rnd)
- tr := randomGeneral(n2, n2, n2+extra, rnd)
- b := randomGeneral(n1, n2, n2+extra, rnd)
- x := randomGeneral(n1, n2, n2+extra, rnd)
-
- scale, xnorm, ok := impl.Dlasy2(tranl, tranr, isgn, n1, n2, tl.Data, tl.Stride, tr.Data, tr.Stride, b.Data, b.Stride, x.Data, x.Stride)
- if scale > 1 {
- t.Errorf("invalid value of scale, want <= 1, got %v", scale)
- }
- if n1 == 0 || n2 == 0 {
- return
- }
-
- prefix := fmt.Sprintf("Case n1=%v, n2=%v, isgn=%v", n1, n2, isgn)
-
- // Check any invalid modifications of x.
- if !generalOutsideAllNaN(x) {
- t.Errorf("%v: out-of-range write to x\n%v", prefix, x.Data)
- }
-
- var xnormWant float64
- for i := 0; i < n1; i++ {
- var rowsum float64
- for j := 0; j < n2; j++ {
- rowsum += math.Abs(x.Data[i*x.Stride+j])
- }
- if rowsum > xnormWant {
- xnormWant = rowsum
- }
- }
- if xnormWant != xnorm {
- t.Errorf("%v: unexpected xnorm: want %v, got %v", prefix, xnormWant, xnorm)
- }
-
- // Multiply b by scale to get the wanted right-hand side.
- for i := 0; i < n1; i++ {
- for j := 0; j < n2; j++ {
- b.Data[i*b.Stride+j] *= scale
- }
- }
- // Compute the wanted left-hand side.
- lhsWant := randomGeneral(n1, n2, n2, rnd)
- if tranl {
- blas64.Gemm(blas.Trans, blas.NoTrans, 1, tl, x, 0, lhsWant)
- } else {
- blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, tl, x, 0, lhsWant)
- }
- if tranr {
- blas64.Gemm(blas.NoTrans, blas.Trans, float64(isgn), x, tr, 1, lhsWant)
- } else {
- blas64.Gemm(blas.NoTrans, blas.NoTrans, float64(isgn), x, tr, 1, lhsWant)
- }
- // Compare them.
- for i := 0; i < n1; i++ {
- for j := 0; j < n2; j++ {
- diff := lhsWant.Data[i*lhsWant.Stride+j] - b.Data[i*b.Stride+j]
- if math.Abs(diff) > tol && ok {
- t.Errorf("%v: unexpected result, diff[%v,%v]=%v", prefix, i, j, diff)
- }
- }
- }
-}