+++ /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 (
- "testing"
-
- "golang.org/x/exp/rand"
-
- "gonum.org/v1/gonum/blas/blas64"
- "gonum.org/v1/gonum/floats"
- "gonum.org/v1/gonum/lapack"
-)
-
-type Dorgbrer interface {
- Dorgbr(vect lapack.DecompUpdate, m, n, k int, a []float64, lda int, tau, work []float64, lwork int)
- Dgebrder
-}
-
-func DorgbrTest(t *testing.T, impl Dorgbrer) {
- rnd := rand.New(rand.NewSource(1))
- for _, vect := range []lapack.DecompUpdate{lapack.ApplyQ, lapack.ApplyP} {
- for _, test := range []struct {
- m, n, k, lda int
- }{
- {5, 5, 5, 0},
- {5, 5, 3, 0},
- {5, 3, 5, 0},
- {3, 5, 5, 0},
- {3, 4, 5, 0},
- {3, 5, 4, 0},
- {4, 3, 5, 0},
- {4, 5, 3, 0},
- {5, 3, 4, 0},
- {5, 4, 3, 0},
-
- {5, 5, 5, 10},
- {5, 5, 3, 10},
- {5, 3, 5, 10},
- {3, 5, 5, 10},
- {3, 4, 5, 10},
- {3, 5, 4, 10},
- {4, 3, 5, 10},
- {4, 5, 3, 10},
- {5, 3, 4, 10},
- {5, 4, 3, 10},
- } {
- m := test.m
- n := test.n
- k := test.k
- lda := test.lda
- // Filter out bad tests
- if vect == lapack.ApplyQ {
- if m < n || n < min(m, k) || m < min(m, k) {
- continue
- }
- } else {
- if n < m || m < min(n, k) || n < min(n, k) {
- continue
- }
- }
- // Sizes for Dorgbr.
- var ma, na int
- if vect == lapack.ApplyQ {
- if m >= k {
- ma = m
- na = k
- } else {
- ma = m
- na = m
- }
- } else {
- if n >= k {
- ma = k
- na = n
- } else {
- ma = n
- na = n
- }
- }
- // a eventually needs to store either P or Q, so it must be
- // sufficiently big.
- var a []float64
- if vect == lapack.ApplyQ {
- lda = max(m, lda)
- a = make([]float64, m*lda)
- } else {
- lda = max(n, lda)
- a = make([]float64, n*lda)
- }
- for i := range a {
- a[i] = rnd.NormFloat64()
- }
-
- nTau := min(ma, na)
- tauP := make([]float64, nTau)
- tauQ := make([]float64, nTau)
- d := make([]float64, nTau)
- e := make([]float64, nTau)
- lwork := -1
- work := make([]float64, 1)
- impl.Dgebrd(ma, na, a, lda, d, e, tauQ, tauP, work, lwork)
- work = make([]float64, int(work[0]))
- lwork = len(work)
- impl.Dgebrd(ma, na, a, lda, d, e, tauQ, tauP, work, lwork)
-
- aCopy := make([]float64, len(a))
- copy(aCopy, a)
-
- var tau []float64
- if vect == lapack.ApplyQ {
- tau = tauQ
- } else {
- tau = tauP
- }
-
- impl.Dorgbr(vect, m, n, k, a, lda, tau, work, -1)
- work = make([]float64, int(work[0]))
- lwork = len(work)
- impl.Dorgbr(vect, m, n, k, a, lda, tau, work, lwork)
-
- var ans blas64.General
- var nRows, nCols int
- equal := true
- if vect == lapack.ApplyQ {
- nRows = m
- nCols = m
- if m >= k {
- nCols = n
- }
- ans = constructQPBidiagonal(vect, ma, na, min(m, k), aCopy, lda, tau)
- } else {
- nRows = n
- if k < n {
- nRows = m
- }
- nCols = n
- ansTmp := constructQPBidiagonal(vect, ma, na, min(k, n), aCopy, lda, tau)
- // Dorgbr actually computes P^T
- ans = transposeGeneral(ansTmp)
- }
- for i := 0; i < nRows; i++ {
- for j := 0; j < nCols; j++ {
- if !floats.EqualWithinAbsOrRel(a[i*lda+j], ans.Data[i*ans.Stride+j], 1e-8, 1e-8) {
- equal = false
- }
- }
- }
- if !equal {
- applyQ := vect == lapack.ApplyQ
- t.Errorf("Extracted matrix mismatch. applyQ: %v, m = %v, n = %v, k = %v", applyQ, m, n, k)
- }
- }
- }
-}
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