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103 lines
2.6 KiB
Go
103 lines
2.6 KiB
Go
// Copyright ©2017 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/lapack"
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)
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type Dlaqp2er interface {
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Dlapmter
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Dlaqp2(m, n, offset int, a []float64, lda int, jpvt []int, tau, vn1, vn2, work []float64)
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}
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func Dlaqp2Test(t *testing.T, impl Dlaqp2er) {
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const tol = 1e-14
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rnd := rand.New(rand.NewSource(1))
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for ti, test := range []struct {
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m, n, offset int
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}{
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{m: 4, n: 3, offset: 0},
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{m: 4, n: 3, offset: 2},
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{m: 4, n: 3, offset: 4},
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{m: 3, n: 4, offset: 0},
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{m: 3, n: 4, offset: 1},
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{m: 3, n: 4, offset: 2},
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{m: 8, n: 3, offset: 0},
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{m: 8, n: 3, offset: 4},
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{m: 8, n: 3, offset: 8},
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{m: 3, n: 8, offset: 0},
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{m: 3, n: 8, offset: 1},
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{m: 3, n: 8, offset: 2},
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{m: 10, n: 10, offset: 0},
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{m: 10, n: 10, offset: 5},
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{m: 10, n: 10, offset: 10},
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} {
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m := test.m
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n := test.n
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jpiv := make([]int, n)
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for _, extra := range []int{0, 11} {
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a := randomGeneral(m, n, n+extra, rnd)
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aCopy := cloneGeneral(a)
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for j := range jpiv {
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jpiv[j] = j
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}
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tau := make([]float64, n)
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vn1 := columnNorms(m, n, a.Data, a.Stride)
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vn2 := columnNorms(m, n, a.Data, a.Stride)
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work := make([]float64, n)
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impl.Dlaqp2(m, n, test.offset, a.Data, a.Stride, jpiv, tau, vn1, vn2, work)
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prefix := fmt.Sprintf("Case %v (offset=%d,m=%v,n=%v,extra=%v)", ti, test.offset, m, n, extra)
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if !generalOutsideAllNaN(a) {
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t.Errorf("%v: out-of-range write to A", prefix)
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}
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mo := m - test.offset
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if mo == 0 {
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continue
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}
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q := constructQ("QR", mo, n, a.Data[test.offset*a.Stride:], a.Stride, tau)
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// Check that Q is orthogonal.
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if resid := residualOrthogonal(q, false); resid > tol {
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t.Errorf("%v: Q is not orthogonal; resid=%v, want<=%v", prefix, resid, tol)
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}
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// Check that |A*P - Q*R| is small.
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impl.Dlapmt(true, aCopy.Rows, aCopy.Cols, aCopy.Data, aCopy.Stride, jpiv)
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qrap := blas64.General{
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Rows: mo,
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Cols: aCopy.Cols,
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Stride: aCopy.Stride,
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Data: aCopy.Data[test.offset*aCopy.Stride:],
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}
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r := zeros(mo, n, n)
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for i := 0; i < mo; i++ {
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for j := i; j < n; j++ {
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r.Data[i*r.Stride+j] = a.Data[(test.offset+i)*a.Stride+j]
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}
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}
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blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, q, r, -1, qrap)
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resid := dlange(lapack.MaxColumnSum, qrap.Rows, qrap.Cols, qrap.Data, qrap.Stride)
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if resid > tol {
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t.Errorf("%v: |Q*R - A*P|=%v, want<=%v", prefix, resid, tol)
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}
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}
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}
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}
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