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102 lines
2.2 KiB
Go
102 lines
2.2 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/floats"
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)
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type Dgelqfer interface {
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Dgelq2er
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Dgelqf(m, n int, a []float64, lda int, tau, work []float64, lwork int)
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}
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func DgelqfTest(t *testing.T, impl Dgelqfer) {
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const tol = 1e-12
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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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{10, 5, 0},
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{5, 10, 0},
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{10, 10, 0},
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{300, 5, 0},
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{3, 500, 0},
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{200, 200, 0},
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{300, 200, 0},
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{204, 300, 0},
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{1, 3000, 0},
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{3000, 1, 0},
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{10, 5, 30},
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{5, 10, 30},
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{10, 10, 30},
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{300, 5, 500},
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{3, 500, 600},
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{200, 200, 300},
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{300, 200, 300},
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{204, 300, 400},
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{1, 3000, 4000},
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{3000, 1, 4000},
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} {
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m := test.m
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n := test.n
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lda := test.lda
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if lda == 0 {
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lda = n
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}
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// Allocate m×n matrix A and fill it with random numbers.
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a := make([]float64, m*lda)
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for i := range a {
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a[i] = rnd.NormFloat64()
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}
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// Store a copy of A for later comparison.
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aCopy := make([]float64, len(a))
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copy(aCopy, a)
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// Allocate a slice for scalar factors of elementary reflectors
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// and fill it with random numbers.
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tau := make([]float64, n)
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for i := 0; i < n; i++ {
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tau[i] = rnd.NormFloat64()
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}
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// Compute the expected result using unblocked LQ algorithm and
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// store it want.
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want := make([]float64, len(a))
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copy(want, a)
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impl.Dgelq2(m, n, want, lda, tau, make([]float64, m))
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for _, wl := range []worklen{minimumWork, mediumWork, optimumWork} {
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copy(a, aCopy)
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var lwork int
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switch wl {
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case minimumWork:
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lwork = m
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case mediumWork:
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work := make([]float64, 1)
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impl.Dgelqf(m, n, a, lda, tau, work, -1)
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lwork = int(work[0]) - 2*m
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case optimumWork:
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work := make([]float64, 1)
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impl.Dgelqf(m, n, a, lda, tau, work, -1)
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lwork = int(work[0])
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}
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work := make([]float64, lwork)
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// Compute the LQ factorization of A.
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impl.Dgelqf(m, n, a, lda, tau, work, len(work))
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// Compare the result with Dgelq2.
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if !floats.EqualApprox(want, a, tol) {
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t.Errorf("Case %v, workspace type %v, unexpected result", c, wl)
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}
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}
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}
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}
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