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102 lines
1.9 KiB
Go
102 lines
1.9 KiB
Go
// Copyright ©2015 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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"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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)
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type Dgelq2er interface {
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Dgelq2(m, n int, a []float64, lda int, tau, work []float64)
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}
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func Dgelq2Test(t *testing.T, impl Dgelq2er) {
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rnd := rand.New(rand.NewSource(1))
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for c, test := range []struct {
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m, n, lda int
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}{
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{1, 1, 0},
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{2, 2, 0},
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{3, 2, 0},
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{2, 3, 0},
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{1, 12, 0},
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{2, 6, 0},
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{3, 4, 0},
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{4, 3, 0},
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{6, 2, 0},
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{1, 12, 0},
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{1, 1, 20},
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{2, 2, 20},
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{3, 2, 20},
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{2, 3, 20},
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{1, 12, 20},
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{2, 6, 20},
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{3, 4, 20},
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{4, 3, 20},
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{6, 2, 20},
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{1, 12, 20},
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} {
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n := test.n
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m := test.m
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lda := test.lda
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if lda == 0 {
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lda = test.n
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}
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k := min(m, n)
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tau := make([]float64, k)
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for i := range tau {
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tau[i] = rnd.Float64()
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}
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work := make([]float64, m)
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for i := range work {
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work[i] = rnd.Float64()
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}
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a := make([]float64, m*lda)
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for i := 0; i < m*lda; i++ {
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a[i] = rnd.Float64()
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}
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aCopy := make([]float64, len(a))
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copy(aCopy, a)
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impl.Dgelq2(m, n, a, lda, tau, work)
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Q := constructQ("LQ", m, n, a, lda, tau)
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// Check that Q is orthogonal.
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if !isOrthogonal(Q) {
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t.Errorf("Case %v: Q not orthogonal", c)
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}
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L := blas64.General{
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Rows: m,
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Cols: n,
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Stride: n,
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Data: make([]float64, m*n),
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}
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for i := 0; i < m; i++ {
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for j := 0; j <= min(i, n-1); j++ {
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L.Data[i*L.Stride+j] = a[i*lda+j]
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}
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}
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ans := blas64.General{
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Rows: m,
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Cols: n,
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Stride: lda,
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Data: make([]float64, m*lda),
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}
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copy(ans.Data, aCopy)
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blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, L, Q, 0, ans)
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if !floats.EqualApprox(aCopy, ans.Data, 1e-14) {
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t.Errorf("Case %v, LQ mismatch. Want %v, got %v.", c, aCopy, ans.Data)
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}
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}
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}
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