+++ /dev/null
-// Copyright ©2015 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"
- "testing"
-
- "golang.org/x/exp/rand"
-
- "gonum.org/v1/gonum/blas"
- "gonum.org/v1/gonum/blas/blas64"
- "gonum.org/v1/gonum/floats"
-)
-
-type Dgeqr2er interface {
- Dgeqr2(m, n int, a []float64, lda int, tau []float64, work []float64)
-}
-
-func Dgeqr2Test(t *testing.T, impl Dgeqr2er) {
- rnd := rand.New(rand.NewSource(1))
- for c, test := range []struct {
- m, n, lda int
- }{
- {1, 1, 0},
- {2, 2, 0},
- {3, 2, 0},
- {2, 3, 0},
- {1, 12, 0},
- {2, 6, 0},
- {3, 4, 0},
- {4, 3, 0},
- {6, 2, 0},
- {12, 1, 0},
- {1, 1, 20},
- {2, 2, 20},
- {3, 2, 20},
- {2, 3, 20},
- {1, 12, 20},
- {2, 6, 20},
- {3, 4, 20},
- {4, 3, 20},
- {6, 2, 20},
- {12, 1, 20},
- } {
- n := test.n
- m := test.m
- lda := test.lda
- if lda == 0 {
- lda = test.n
- }
- a := make([]float64, m*lda)
- for i := range a {
- a[i] = rnd.Float64()
- }
- aCopy := make([]float64, len(a))
- k := min(m, n)
- tau := make([]float64, k)
- for i := range tau {
- tau[i] = rnd.Float64()
- }
- work := make([]float64, n)
- for i := range work {
- work[i] = rnd.Float64()
- }
- copy(aCopy, a)
- impl.Dgeqr2(m, n, a, lda, tau, work)
-
- // Test that the QR factorization has completed successfully. Compute
- // Q based on the vectors.
- q := constructQ("QR", m, n, a, lda, tau)
-
- // Check that q is orthonormal
- for i := 0; i < m; i++ {
- nrm := blas64.Nrm2(m, blas64.Vector{Inc: 1, Data: q.Data[i*m:]})
- if math.Abs(nrm-1) > 1e-14 {
- t.Errorf("Case %v, q not normal", c)
- }
- for j := 0; j < i; j++ {
- dot := blas64.Dot(m, blas64.Vector{Inc: 1, Data: q.Data[i*m:]}, blas64.Vector{Inc: 1, Data: q.Data[j*m:]})
- if math.Abs(dot) > 1e-14 {
- t.Errorf("Case %v, q not orthogonal", c)
- }
- }
- }
- // Check that A = Q * R
- r := blas64.General{
- Rows: m,
- Cols: n,
- Stride: n,
- Data: make([]float64, m*n),
- }
- for i := 0; i < m; i++ {
- for j := i; j < n; j++ {
- r.Data[i*n+j] = a[i*lda+j]
- }
- }
- atmp := blas64.General{
- Rows: m,
- Cols: n,
- Stride: lda,
- Data: make([]float64, m*lda),
- }
- copy(atmp.Data, a)
- blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, q, r, 0, atmp)
- if !floats.EqualApprox(atmp.Data, aCopy, 1e-14) {
- t.Errorf("Q*R != a")
- }
- }
-}