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128 lines
3.5 KiB
Go
128 lines
3.5 KiB
Go
// Copyright ©2020 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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"testing"
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"golang.org/x/exp/rand"
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"gonum.org/v1/gonum/blas"
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"gonum.org/v1/gonum/blas/blas64"
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"gonum.org/v1/gonum/floats"
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"gonum.org/v1/gonum/lapack"
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)
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type Dlagtmer interface {
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Dlagtm(trans blas.Transpose, m, n int, alpha float64, dl, d, du []float64, b []float64, ldb int, beta float64, c []float64, ldc int)
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}
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func DlagtmTest(t *testing.T, impl Dlagtmer) {
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rnd := rand.New(rand.NewSource(1))
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for _, trans := range []blas.Transpose{blas.NoTrans, blas.Trans, blas.ConjTrans} {
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t.Run(transToString(trans), func(t *testing.T) {
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for _, m := range []int{0, 1, 2, 3, 4, 5, 10} {
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for _, n := range []int{0, 1, 2, 3, 4, 5, 10} {
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for _, ldb := range []int{max(1, n), n + 3} {
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for _, ldc := range []int{max(1, n), n + 4} {
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for _, alpha := range []float64{0, 1, rnd.NormFloat64()} {
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for _, beta := range []float64{0, 1, rnd.NormFloat64()} {
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dlagtmTest(t, impl, rnd, trans, m, n, ldb, ldc, alpha, beta)
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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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}
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func dlagtmTest(t *testing.T, impl Dlagtmer, rnd *rand.Rand, trans blas.Transpose, m, n int, ldb, ldc int, alpha, beta float64) {
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const (
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tol = 1e-14
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extra = 10
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)
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name := fmt.Sprintf("Case m=%v,n=%v,ldb=%v,ldc=%v,alpha=%v,beta=%v", m, n, ldb, ldc, alpha, beta)
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// Generate three random diagonals.
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dl := randomSlice(n+extra, rnd)
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dlCopy := make([]float64, len(dl))
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copy(dlCopy, dl)
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d := randomSlice(n+1+extra, rnd)
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dCopy := make([]float64, len(d))
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copy(dCopy, d)
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du := randomSlice(n+extra, rnd)
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duCopy := make([]float64, len(du))
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copy(duCopy, du)
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b := randomGeneral(m, n, ldb, rnd)
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bCopy := cloneGeneral(b)
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got := randomGeneral(m, n, ldc, rnd)
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want := cloneGeneral(got)
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// Deal with zero-sized matrices early.
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if m == 0 || n == 0 {
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impl.Dlagtm(trans, m, n, alpha, dl, d, du, b.Data, b.Stride, beta, got.Data, got.Stride)
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if !floats.Same(dl, dlCopy) {
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t.Errorf("%v: unexpected modification in dl", name)
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}
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if !floats.Same(d, dCopy) {
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t.Errorf("%v: unexpected modification in d", name)
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}
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if !floats.Same(du, duCopy) {
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t.Errorf("%v: unexpected modification in du", name)
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}
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if !floats.Same(b.Data, bCopy.Data) {
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t.Errorf("%v: unexpected modification in B", name)
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}
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if !floats.Same(got.Data, want.Data) {
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t.Errorf("%v: unexpected modification in C", name)
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}
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return
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}
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impl.Dlagtm(trans, m, n, alpha, dl, d, du, b.Data, b.Stride, beta, got.Data, got.Stride)
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if !floats.Same(dl, dlCopy) {
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t.Errorf("%v: unexpected modification in dl", name)
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}
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if !floats.Same(d, dCopy) {
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t.Errorf("%v: unexpected modification in d", name)
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}
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if !floats.Same(du, duCopy) {
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t.Errorf("%v: unexpected modification in du", name)
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}
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if !floats.Same(b.Data, bCopy.Data) {
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t.Errorf("%v: unexpected modification in B", name)
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}
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// Generate a dense representation of the matrix and compute the wanted result.
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a := zeros(m, m, m)
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for i := 0; i < m-1; i++ {
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a.Data[i*a.Stride+i] = d[i]
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a.Data[i*a.Stride+i+1] = du[i]
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a.Data[(i+1)*a.Stride+i] = dl[i]
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}
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a.Data[(m-1)*a.Stride+m-1] = d[m-1]
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blas64.Gemm(trans, blas.NoTrans, alpha, a, b, beta, want)
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for i := 0; i < m; i++ {
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for j := 0; j < n; j++ {
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got.Data[i*got.Stride+j] -= want.Data[i*want.Stride+j]
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}
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}
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diff := dlange(lapack.MaxColumnSum, got.Rows, got.Cols, got.Data, got.Stride)
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if diff > tol {
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t.Errorf("%v: unexpected result; diff=%v, want<=%v", name, diff, tol)
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}
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}
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