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55 lines
1.3 KiB
Go
55 lines
1.3 KiB
Go
// Copyright ©2023 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/rand/v2"
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"testing"
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)
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type Dptsver interface {
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Dptsv(n, nrhs int, d, e []float64, b []float64, ldb int) (ok bool)
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}
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func DptsvTest(t *testing.T, impl Dptsver) {
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rnd := rand.New(rand.NewPCG(1, 1))
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for _, n := range []int{0, 1, 2, 3, 4, 5, 10, 20, 50, 51, 52, 53, 54, 100} {
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for _, nrhs := range []int{0, 1, 2, 3, 4, 5, 10, 20, 50} {
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for _, ldb := range []int{max(1, nrhs), nrhs + 3} {
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dptsvTest(t, impl, rnd, n, nrhs, ldb)
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}
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}
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}
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}
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func dptsvTest(t *testing.T, impl Dptsver, rnd *rand.Rand, n, nrhs, ldb int) {
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const tol = 1e-15
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name := fmt.Sprintf("n=%v", n)
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// Generate a random diagonally dominant symmetric tridiagonal matrix A.
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d, e := newRandomSymTridiag(n, rnd)
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// Generate a random solution matrix X.
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xWant := randomGeneral(n, nrhs, ldb, rnd)
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// Compute the right-hand side.
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b := zeros(n, nrhs, ldb)
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dstmm(n, nrhs, d, e, xWant.Data, xWant.Stride, b.Data, b.Stride)
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// Solve A*X=B.
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ok := impl.Dptsv(n, nrhs, d, e, b.Data, b.Stride)
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if !ok {
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t.Errorf("%v: Dptsv failed", name)
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return
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}
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resid := dpttrsResidual(b, xWant)
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if resid > tol {
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t.Errorf("%v: unexpected solution: |diff| = %v, want <= %v", name, resid, tol)
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}
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}
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