+++ /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 Dgelq2er interface {
- Dgelq2(m, n int, a []float64, lda int, tau, work []float64)
-}
-
-func Dgelq2Test(t *testing.T, impl Dgelq2er) {
- 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},
- {1, 12, 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},
- {1, 12, 20},
- } {
- n := test.n
- m := test.m
- lda := test.lda
- if lda == 0 {
- lda = test.n
- }
- k := min(m, n)
- tau := make([]float64, k)
- for i := range tau {
- tau[i] = rnd.Float64()
- }
- work := make([]float64, m)
- for i := range work {
- work[i] = rnd.Float64()
- }
- a := make([]float64, m*lda)
- for i := 0; i < m*lda; i++ {
- a[i] = rnd.Float64()
- }
- aCopy := make([]float64, len(a))
- copy(aCopy, a)
- impl.Dgelq2(m, n, a, lda, tau, work)
-
- Q := constructQ("LQ", m, n, a, lda, tau)
-
- // Check that Q is orthonormal
- for i := 0; i < Q.Rows; i++ {
- nrm := blas64.Nrm2(Q.Cols, blas64.Vector{Inc: 1, Data: Q.Data[i*Q.Stride:]})
- if math.Abs(nrm-1) > 1e-14 {
- t.Errorf("Q not normal. Norm is %v", nrm)
- }
- for j := 0; j < i; j++ {
- dot := blas64.Dot(Q.Rows,
- blas64.Vector{Inc: 1, Data: Q.Data[i*Q.Stride:]},
- blas64.Vector{Inc: 1, Data: Q.Data[j*Q.Stride:]},
- )
- if math.Abs(dot) > 1e-14 {
- t.Errorf("Q not orthogonal. Dot is %v", dot)
- }
- }
- }
-
- L := blas64.General{
- Rows: m,
- Cols: n,
- Stride: n,
- Data: make([]float64, m*n),
- }
- for i := 0; i < m; i++ {
- for j := 0; j <= min(i, n-1); j++ {
- L.Data[i*L.Stride+j] = a[i*lda+j]
- }
- }
-
- ans := blas64.General{
- Rows: m,
- Cols: n,
- Stride: lda,
- Data: make([]float64, m*lda),
- }
- copy(ans.Data, aCopy)
- blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, L, Q, 0, ans)
- if !floats.EqualApprox(aCopy, ans.Data, 1e-14) {
- t.Errorf("Case %v, LQ mismatch. Want %v, got %v.", c, aCopy, ans.Data)
- }
- }
-}