annotate liboctave/numeric/gsvd.cc @ 22322:93b3cdd36854

move most f77 function decls to separate header files * liboctave/numeric/lo-amos-proto.h, liboctave/numeric/lo-arpack-proto.h, liboctave/numeric/lo-blas-proto.h, liboctave/numeric/lo-fftpack-proto.h, liboctave/numeric/lo-lapack-proto.h, liboctave/numeric/lo-qrupdate-proto.h, liboctave/numeric/lo-ranlib-proto.h, liboctave/numeric/lo-slatec-proto.h: New files. * liboctave/numeric/module.mk: Update. * __pchip_deriv__.cc, dot.cc, interpreter.cc, ordschur.cc, qz.cc, CColVector.cc, CMatrix.cc, CNDArray.cc, CRowVector.cc, CSparse.cc, dColVector.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc, fCColVector.cc, fCMatrix.cc, fCNDArray.cc, fCRowVector.cc, fColVector.cc, fMatrix.cc, fNDArray.cc, fRowVector.cc, EIG.cc, aepbalance.cc, chol.cc, eigs-base.cc, fEIG.cc, gepbalance.cc, gsvd.cc, hess.cc, lo-specfun.cc, lu.cc, oct-rand.cc, qr.cc, qrp.cc, randpoisson.cc, schur.cc, sparse-qr.cc, svd.cc: Use new header files.
author John W. Eaton <jwe@octave.org>
date Wed, 17 Aug 2016 00:18:08 -0400
parents bc2a5db96754
children bac0d6f07a3e
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1 // Copyright (C) 1996, 1997 John W. Eaton
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2 // Copyright (C) 2006 Pascal Dupuis <Pascal.Dupuis@uclouvain.be>
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3 // Copyright (C) 2016 Barbara Lócsi
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4 //
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5 // This program is free software; you can redistribute it and/or modify it under
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6 // the terms of the GNU General Public License as published by the Free Software
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7 // Foundation; either version 3 of the License, or (at your option) any later
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8 // version.
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9 //
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10 // This program is distributed in the hope that it will be useful, but WITHOUT
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11 // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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12 // FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
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13 // details.
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14 //
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15 // You should have received a copy of the GNU General Public License along with
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16 // this program; if not, see <http://www.gnu.org/licenses/>.
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17
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18 #ifdef HAVE_CONFIG_H
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19 # include <config.h>
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20 #endif
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21
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22 #include "gsvd.h"
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23 #include "lo-error.h"
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24 #include "lo-lapack-proto.h"
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25 #include "CMatrix.h"
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26 #include "dDiagMatrix.h"
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27 #include "dMatrix.h"
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28
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29 #include <vector>
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30
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31 template <>
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32 void
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33 gsvd<Matrix>::ggsvd (char& jobu, char& jobv, char& jobq, octave_idx_type m,
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34 octave_idx_type n, octave_idx_type p, octave_idx_type& k,
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35 octave_idx_type& l, double *tmp_dataA, octave_idx_type m1,
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36 double *tmp_dataB, octave_idx_type p1, Matrix& alpha,
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37 Matrix& beta, double *u, octave_idx_type nrow_u, double *v,
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38 octave_idx_type nrow_v, double *q, octave_idx_type nrow_q,
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39 Matrix& work, octave_idx_type* iwork, octave_idx_type& info)
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40 {
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41 F77_XFCN (dggsvd, DGGSVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
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42 F77_CONST_CHAR_ARG2 (&jobv, 1),
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43 F77_CONST_CHAR_ARG2 (&jobq, 1),
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44 m, n, p, k, l, tmp_dataA, m1,
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45 tmp_dataB, p1, alpha.fortran_vec (),
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46 beta.fortran_vec (), u, nrow_u,
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47 v, nrow_v, q, nrow_q, work.fortran_vec (),
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48 iwork, info
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49 F77_CHAR_ARG_LEN (1)
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50 F77_CHAR_ARG_LEN (1)
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51 F77_CHAR_ARG_LEN (1)));
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52 }
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53
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54
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55 template <>
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56 void
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57 gsvd<ComplexMatrix>::ggsvd (char& jobu, char& jobv, char& jobq,
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58 octave_idx_type m, octave_idx_type n,
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59 octave_idx_type p, octave_idx_type& k,
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60 octave_idx_type& l, Complex *tmp_dataA,
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61 octave_idx_type m1, Complex *tmp_dataB,
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62 octave_idx_type p1, Matrix& alpha,
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63 Matrix& beta, Complex *u, octave_idx_type nrow_u,
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64 Complex *v, octave_idx_type nrow_v, Complex *q,
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65 octave_idx_type nrow_q, ComplexMatrix& work,
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66 octave_idx_type* iwork, octave_idx_type& info)
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67 {
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68 Matrix rwork(2*n, 1);
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69 F77_XFCN (zggsvd, ZGGSVD, (F77_CONST_CHAR_ARG2 (&jobu, 1),
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70 F77_CONST_CHAR_ARG2 (&jobv, 1),
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71 F77_CONST_CHAR_ARG2 (&jobq, 1),
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72 m, n, p, k, l, F77_DBLE_CMPLX_ARG (tmp_dataA), m1,
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73 F77_DBLE_CMPLX_ARG (tmp_dataB), p1,
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74 alpha.fortran_vec (), beta.fortran_vec (),
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75 F77_DBLE_CMPLX_ARG (u), nrow_u,
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76 F77_DBLE_CMPLX_ARG (v), nrow_v,
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77 F77_DBLE_CMPLX_ARG (q), nrow_q,
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78 F77_DBLE_CMPLX_ARG (work.fortran_vec ()),
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79 rwork.fortran_vec (), iwork, info
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80 F77_CHAR_ARG_LEN (1)
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81 F77_CHAR_ARG_LEN (1)
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82 F77_CHAR_ARG_LEN (1)));
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83 }
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84
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85 template <typename T>
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86 T
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87 gsvd<T>::left_singular_matrix_A (void) const
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88 {
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89 if (type == gsvd::Type::sigma_only)
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90 {
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91 (*current_liboctave_error_handler)
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92 ("gsvd: U not computed because type == gsvd::sigma_only");
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93 return T ();
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94 }
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95 else
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96 return left_smA;
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97 }
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98
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99 template <typename T>
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100 T
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101 gsvd<T>::left_singular_matrix_B (void) const
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102 {
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103 if (type == gsvd::Type::sigma_only)
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104 {
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105 (*current_liboctave_error_handler)
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106 ("gsvd: V not computed because type == gsvd::sigma_only");
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107 return T ();
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108 }
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109 else
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110 return left_smB;
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111 }
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112
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113 template <typename T>
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114 T
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115 gsvd<T>::right_singular_matrix (void) const
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116 {
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117 if (type == gsvd::Type::sigma_only)
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118 {
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119 (*current_liboctave_error_handler)
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120 ("gsvd: X not computed because type == gsvd::sigma_only");
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121 return T ();
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122 }
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123 else
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124 return right_sm;
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125 }
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126
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127 template <typename T>
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128 T
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129 gsvd<T>::R_matrix (void) const
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130 {
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131 if (type != gsvd::Type::std)
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132 {
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133 (*current_liboctave_error_handler)
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134 ("gsvd: R not computed because type != gsvd::std");
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Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
135 return T ();
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
136 }
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
137 else
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
138 return R;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
139 }
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
140
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
141 template <typename T>
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
142 gsvd<T>::gsvd (const T& a, const T& b, gsvd::Type gsvd_type)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
143 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
144 octave_idx_type info;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
145
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
146 octave_idx_type m = a.rows ();
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
147 octave_idx_type n = a.cols ();
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
148 octave_idx_type p = b.rows ();
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
149
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
150 T atmp = a;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
151 P *tmp_dataA = atmp.fortran_vec ();
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
152
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
153 T btmp = b;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
154 P *tmp_dataB = btmp.fortran_vec ();
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
155
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
156 char jobu = 'U';
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
157 char jobv = 'V';
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
158 char jobq = 'Q';
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
159
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
160 octave_idx_type nrow_u = m;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
161 octave_idx_type nrow_v = p;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
162 octave_idx_type nrow_q = n;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
163
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
164 octave_idx_type k, l;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
165
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
166 switch (gsvd_type)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
167 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
168 case gsvd<T>::Type::sigma_only:
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
169
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
170 // Note: for this case, both jobu and jobv should be 'N', but
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
171 // there seems to be a bug in dgesvd from Lapack V2.0. To
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
172 // demonstrate the bug, set both jobu and jobv to 'N' and find
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
173 // the singular values of [eye(3), eye(3)]. The result is
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
174 // [-sqrt(2), -sqrt(2), -sqrt(2)].
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
175 //
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
176 // For Lapack 3.0, this problem seems to be fixed.
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
177
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
178 jobu = 'N';
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
179 jobv = 'N';
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
180 jobq = 'N';
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
181 nrow_u = nrow_v = nrow_q = 1;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
182 break;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
183
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
184 default:
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
185 break;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
186 }
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
187
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
188 type = gsvd_type;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
189
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
190 if (! (jobu == 'N' || jobu == 'O'))
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
191 left_smA.resize (nrow_u, m);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
192
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
193 P *u = left_smA.fortran_vec ();
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
194
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
195 if (! (jobv == 'N' || jobv == 'O'))
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
196 left_smB.resize (nrow_v, p);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
197
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
198 P *v = left_smB.fortran_vec ();
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
199
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
200 if (! (jobq == 'N' || jobq == 'O'))
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
201 right_sm.resize (nrow_q, n);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
202
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
203 P *q = right_sm.fortran_vec ();
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
204
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
205 octave_idx_type lwork = 3*n;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
206 lwork = lwork > m ? lwork : m;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
207 lwork = (lwork > p ? lwork : p) + n;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
208
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
209 T work (lwork, 1);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
210 Matrix alpha (n, 1);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
211 Matrix beta (n, 1);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
212
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
213 std::vector<octave_idx_type> iwork (n);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
214
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
215 gsvd<T>::ggsvd (jobu, jobv, jobq, m, n, p, k, l,
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
216 tmp_dataA, m, tmp_dataB, p, alpha, beta, u,
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
217 nrow_u, v, nrow_v, q, nrow_q, work, iwork.data (), info);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
218
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
219 if (f77_exception_encountered)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
220 (*current_liboctave_error_handler) ("unrecoverable error in *ggsvd");
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
221
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
222 if (info < 0)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
223 (*current_liboctave_error_handler) ("*ggsvd.f: argument %d illegal", -info);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
224 else
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
225 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
226 if (info > 0)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
227 (*current_liboctave_error_handler)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
228 ("*ggsvd.f: Jacobi-type procedure failed to converge.");
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
229 else
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
230 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
231 octave_idx_type i, j;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
232
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
233 if (gsvd<T>::Type::std == gsvd_type)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
234 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
235 R.resize(k+l, k+l);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
236 int astart = n-k-l;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
237 if (m - k - l >= 0)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
238 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
239 astart = n-k-l;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
240 // R is stored in A(1:K+L,N-K-L+1:N)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
241 for (i = 0; i < k+l; i++)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
242 for (j = 0; j < k+l; j++)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
243 R.xelem (i, j) = atmp.xelem (i, astart + j);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
244 }
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
245 else
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
246 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
247 // (R11 R12 R13 ) is stored in A(1:M, N-K-L+1:N),
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
248 // ( 0 R22 R23 )
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
249
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
250 for (i = 0; i < m; i++)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
251 for (j = 0; j < k+l; j++)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
252 R.xelem (i, j) = atmp.xelem (i, astart + j);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
253 // and R33 is stored in B(M-K+1:L,N+M-K-L+1:N)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
254 for (i = k+l-1; i >=m; i--) {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
255 for (j = 0; j < m; j++)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
256 R.xelem(i, j) = 0.0;
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
257 for (j = m; j < k+l; j++)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
258 R.xelem (i, j) = btmp.xelem (i - k, astart + j);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
259 }
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
260 }
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
261 }
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
262
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
263 if (m-k-l >= 0)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
264 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
265 // Fills in C and S
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
266 sigmaA.resize (l, l);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
267 sigmaB.resize (l, l);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
268 for (i = 0; i < l; i++)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
269 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
270 sigmaA.dgxelem(i) = alpha.elem(k+i);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
271 sigmaB.dgxelem(i) = beta.elem(k+i);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
272 }
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
273 }
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
274 else
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
275 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
276 // Fills in C and S
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
277 sigmaA.resize (m-k, m-k);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
278 sigmaB.resize (m-k, m-k);
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
279 for (i = 0; i < m-k; i++)
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
280 {
065a44375723 gsvd: reduce code duplication with templates.
Barbara Locsi <locsi.barbara@gmail.com>
parents:
diff changeset
281 sigmaA.dgxelem(i) = alpha.elem(k+i);
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282 sigmaB.dgxelem(i) = beta.elem(k+i);
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283 }
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284 }
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285 }
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286 }
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287 }
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288
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289 // Instantiations we need.
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290
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291 template class gsvd<Matrix>;
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292
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293 template class gsvd<ComplexMatrix>;