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105 lines
2.8 KiB
Go
105 lines
2.8 KiB
Go
// Copyright ©2016 The gonum Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package testlapack
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import (
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"fmt"
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"math"
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"math/rand"
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"testing"
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"github.com/gonum/blas"
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"github.com/gonum/blas/blas64"
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)
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type Dlasy2er interface {
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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)
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}
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func Dlasy2Test(t *testing.T, impl Dlasy2er) {
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rnd := rand.New(rand.NewSource(1))
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for _, tranl := range []bool{true, false} {
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for _, tranr := range []bool{true, false} {
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for _, isgn := range []int{1, -1} {
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for _, n1 := range []int{0, 1, 2} {
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for _, n2 := range []int{0, 1, 2} {
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for _, extra := range []int{0, 1, 2, 13} {
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for cas := 0; cas < 1000; cas++ {
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testDlasy2(t, impl, tranl, tranr, isgn, n1, n2, extra, rnd)
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}
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}
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}
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}
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}
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}
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}
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}
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func testDlasy2(t *testing.T, impl Dlasy2er, tranl, tranr bool, isgn, n1, n2, extra int, rnd *rand.Rand) {
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const tol = 1e-11
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tl := randomGeneral(n1, n1, n1+extra, rnd)
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tr := randomGeneral(n2, n2, n2+extra, rnd)
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b := randomGeneral(n1, n2, n2+extra, rnd)
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x := randomGeneral(n1, n2, n2+extra, rnd)
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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)
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if scale > 1 {
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t.Errorf("invalid value of scale, want <= 1, got %v", scale)
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}
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if n1 == 0 || n2 == 0 {
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return
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}
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prefix := fmt.Sprintf("Case n1=%v, n2=%v, isgn=%v", n1, n2, isgn)
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// Check any invalid modifications of x.
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if !generalOutsideAllNaN(x) {
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t.Errorf("%v: out-of-range write to x\n%v", prefix, x.Data)
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}
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var xnormWant float64
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for i := 0; i < n1; i++ {
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var rowsum float64
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for j := 0; j < n2; j++ {
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rowsum += math.Abs(x.Data[i*x.Stride+j])
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}
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if rowsum > xnormWant {
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xnormWant = rowsum
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}
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}
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if xnormWant != xnorm {
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t.Errorf("%v: unexpected xnorm: want %v, got %v", prefix, xnormWant, xnorm)
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}
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// Multiply b by scale to get the wanted right-hand side.
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for i := 0; i < n1; i++ {
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for j := 0; j < n2; j++ {
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b.Data[i*b.Stride+j] *= scale
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}
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}
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// Compute the wanted left-hand side.
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lhsWant := randomGeneral(n1, n2, n2, rnd)
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if tranl {
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blas64.Gemm(blas.Trans, blas.NoTrans, 1, tl, x, 0, lhsWant)
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} else {
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blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, tl, x, 0, lhsWant)
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}
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if tranr {
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blas64.Gemm(blas.NoTrans, blas.Trans, float64(isgn), x, tr, 1, lhsWant)
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} else {
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blas64.Gemm(blas.NoTrans, blas.NoTrans, float64(isgn), x, tr, 1, lhsWant)
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}
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// Compare them.
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for i := 0; i < n1; i++ {
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for j := 0; j < n2; j++ {
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diff := lhsWant.Data[i*lhsWant.Stride+j] - b.Data[i*b.Stride+j]
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if math.Abs(diff) > tol && ok {
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t.Errorf("%v: unexpected result, diff[%v,%v]=%v", prefix, i, j, diff)
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}
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}
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}
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}
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