// Copyright ©2023 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" "math/rand/v2" "testing" "gonum.org/v1/gonum/lapack" ) type Dlanhser interface { Dlanhs(norm lapack.MatrixNorm, n int, a []float64, lda int, work []float64) float64 } func DlanhsTest(t *testing.T, impl Dlanhser) { const tol = 1e-15 rnd := rand.New(rand.NewPCG(1, 1)) for _, n := range []int{0, 1, 2, 4, 9} { for _, lda := range []int{max(1, n), n + 5} { a := randomGeneral(n, n, lda, rnd) for _, norm := range []lapack.MatrixNorm{lapack.MaxAbs, lapack.MaxRowSum, lapack.MaxColumnSum, lapack.Frobenius} { var work []float64 if norm == lapack.MaxColumnSum { work = nanSlice(n) } got := impl.Dlanhs(norm, a.Rows, a.Data, lda, work) // Zero out A below the first subdiagonal. for i := 2; i < n; i++ { for j := 0; j < max(0, i-1); j++ { a.Data[i*a.Stride+j] = 0 } } want := dlange(norm, a.Rows, a.Cols, a.Data, a.Stride) if math.Abs(want-got) > tol*want { t.Errorf("Case n=%v,lda=%v,norm=%v: unexpected result. Want %v, got %v.", n, lda, normToString(norm), want, got) } } } } }