annotate liboctave/numeric/hess.cc @ 21267:f5b8c3aca5f8

make better use of templates for Hessenberg decomposition * liboctave/numeric/hess.h, liboctave/numeric/hess.cc: New files generated from HESS.h, HESS.cc, CmplxHESS.h, CmplxHESS.cc, dbleHESS.h, dbleHESS.cc, fCmplxHESS.h, fCmplxHESS.cc, floatHESS.h, and floatHESS.cc and making them templates. * liboctave/numeric/module.mk: Update. * libinterp/corefcn/hess.cc, mx-defs.h, mx-ext.h: Use new template classes and header file.
author John W. Eaton <jwe@octave.org>
date Mon, 15 Feb 2016 22:33:45 -0500
parents liboctave/numeric/dbleHESS.cc@f7121e111991
children 40de9f8f23a6
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1 /*
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2
19697
4197fc428c7d maint: Update copyright notices for 2015.
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3 Copyright (C) 1994-2015 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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3d4b4f0fa5ba [project @ 1994-06-06 00:33:33 by jwe]
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23 #ifdef HAVE_CONFIG_H
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24 # include <config.h>
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25 #endif
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27
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28 #include "CMatrix.h"
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29 #include "dMatrix.h"
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30 #include "f77-fcn.h"
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31 #include "fCMatrix.h"
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32 #include "fMatrix.h"
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33 #include "hess.h"
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34 #include "lo-error.h"
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35
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36 extern "C"
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37 {
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38 F77_RET_T
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39 F77_FUNC (dgebal, DGEBAL) (F77_CONST_CHAR_ARG_DECL,
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40 const octave_idx_type&, double*,
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41 const octave_idx_type&, octave_idx_type&,
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42 octave_idx_type&, double*, octave_idx_type&
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43 F77_CHAR_ARG_LEN_DECL);
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45 F77_RET_T
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46 F77_FUNC (dgehrd, DGEHRD) (const octave_idx_type&, const octave_idx_type&,
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47 const octave_idx_type&, double*,
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48 const octave_idx_type&, double*, double*,
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49 const octave_idx_type&, octave_idx_type&);
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51 F77_RET_T
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52 F77_FUNC (dorghr, DORGHR) (const octave_idx_type&, const octave_idx_type&,
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53 const octave_idx_type&, double*,
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54 const octave_idx_type&, double*, double*,
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55 const octave_idx_type&, octave_idx_type&);
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57 F77_RET_T
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58 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL,
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59 F77_CONST_CHAR_ARG_DECL,
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60 const octave_idx_type&, const octave_idx_type&,
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61 const octave_idx_type&, double*,
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62 const octave_idx_type&, double*,
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63 const octave_idx_type&, octave_idx_type&
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64 F77_CHAR_ARG_LEN_DECL
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65 F77_CHAR_ARG_LEN_DECL);
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67 F77_RET_T
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68 F77_FUNC (sgebal, SGEBAL) (F77_CONST_CHAR_ARG_DECL,
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69 const octave_idx_type&, float*,
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70 const octave_idx_type&, octave_idx_type&,
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71 octave_idx_type&, float*, octave_idx_type&
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72 F77_CHAR_ARG_LEN_DECL);
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73
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74 F77_RET_T
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75 F77_FUNC (sgehrd, SGEHRD) (const octave_idx_type&, const octave_idx_type&,
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76 const octave_idx_type&, float*,
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77 const octave_idx_type&, float*, float*,
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78 const octave_idx_type&, octave_idx_type&);
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79
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80 F77_RET_T
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81 F77_FUNC (sorghr, SORGHR) (const octave_idx_type&, const octave_idx_type&,
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82 const octave_idx_type&, float*,
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83 const octave_idx_type&, float*, float*,
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84 const octave_idx_type&, octave_idx_type&);
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85
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86 F77_RET_T
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87 F77_FUNC (sgebak, SGEBAK) (F77_CONST_CHAR_ARG_DECL,
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88 F77_CONST_CHAR_ARG_DECL,
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89 const octave_idx_type&, const octave_idx_type&,
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90 const octave_idx_type&, float*,
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91 const octave_idx_type&, float*,
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92 const octave_idx_type&, octave_idx_type&
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93 F77_CHAR_ARG_LEN_DECL
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94 F77_CHAR_ARG_LEN_DECL);
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95
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96 F77_RET_T
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97 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL,
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98 const octave_idx_type&, Complex*,
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99 const octave_idx_type&, octave_idx_type&,
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100 octave_idx_type&, double*, octave_idx_type&
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101 F77_CHAR_ARG_LEN_DECL);
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102
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103 F77_RET_T
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104 F77_FUNC (zgehrd, ZGEHRD) (const octave_idx_type&, const octave_idx_type&,
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105 const octave_idx_type&, Complex*,
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106 const octave_idx_type&, Complex*, Complex*,
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107 const octave_idx_type&, octave_idx_type&);
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108
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109 F77_RET_T
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110 F77_FUNC (zunghr, ZUNGHR) (const octave_idx_type&, const octave_idx_type&,
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111 const octave_idx_type&, Complex*,
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112 const octave_idx_type&, Complex*, Complex*,
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113 const octave_idx_type&, octave_idx_type&);
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114
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115 F77_RET_T
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116 F77_FUNC (zgebak, ZGEBAK) (F77_CONST_CHAR_ARG_DECL,
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117 F77_CONST_CHAR_ARG_DECL,
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118 const octave_idx_type&, const octave_idx_type&,
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119 const octave_idx_type&, double*,
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120 const octave_idx_type&, Complex*,
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121 const octave_idx_type&, octave_idx_type&
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122 F77_CHAR_ARG_LEN_DECL
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123 F77_CHAR_ARG_LEN_DECL);
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124
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125 F77_RET_T
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126 F77_FUNC (cgebal, CGEBAL) (F77_CONST_CHAR_ARG_DECL,
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127 const octave_idx_type&, FloatComplex*,
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128 const octave_idx_type&, octave_idx_type&,
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129 octave_idx_type&, float*, octave_idx_type&
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130 F77_CHAR_ARG_LEN_DECL);
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131
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132 F77_RET_T
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133 F77_FUNC (cgehrd, CGEHRD) (const octave_idx_type&, const octave_idx_type&,
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134 const octave_idx_type&, FloatComplex*,
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135 const octave_idx_type&, FloatComplex*,
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136 FloatComplex*, const octave_idx_type&,
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137 octave_idx_type&);
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138
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139 F77_RET_T
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140 F77_FUNC (cunghr, CUNGHR) (const octave_idx_type&, const octave_idx_type&,
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141 const octave_idx_type&, FloatComplex*,
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142 const octave_idx_type&, FloatComplex*,
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143 FloatComplex*, const octave_idx_type&,
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144 octave_idx_type&);
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145
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146 F77_RET_T
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147 F77_FUNC (cgebak, CGEBAK) (F77_CONST_CHAR_ARG_DECL,
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148 F77_CONST_CHAR_ARG_DECL,
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149 const octave_idx_type&, const octave_idx_type&,
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150 const octave_idx_type&, float*,
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151 const octave_idx_type&, FloatComplex*,
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152 const octave_idx_type&, octave_idx_type&
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153 F77_CHAR_ARG_LEN_DECL
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154 F77_CHAR_ARG_LEN_DECL);
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155 }
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156
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157 template <>
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158 octave_idx_type
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159 hess<Matrix>::init (const Matrix& a)
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160 {
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161 octave_idx_type a_nr = a.rows ();
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162 octave_idx_type a_nc = a.cols ();
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163
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164 if (a_nr != a_nc)
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165 (*current_liboctave_error_handler) ("hess: requires square matrix");
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166
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167 char job = 'N';
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168 char side = 'R';
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169
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170 octave_idx_type n = a_nc;
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171 octave_idx_type lwork = 32 * n;
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172 octave_idx_type info;
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173 octave_idx_type ilo;
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174 octave_idx_type ihi;
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175
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176 hess_mat = a;
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177 double *h = hess_mat.fortran_vec ();
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178
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179 Array<double> scale (dim_vector (n, 1));
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180 double *pscale = scale.fortran_vec ();
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181
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182 F77_XFCN (dgebal, DGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1),
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183 n, h, n, ilo, ihi, pscale, info
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184 F77_CHAR_ARG_LEN (1)));
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185
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186 Array<double> tau (dim_vector (n-1, 1));
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187 double *ptau = tau.fortran_vec ();
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188
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189 Array<double> work (dim_vector (lwork, 1));
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190 double *pwork = work.fortran_vec ();
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191
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192 F77_XFCN (dgehrd, DGEHRD, (n, ilo, ihi, h, n, ptau, pwork,
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193 lwork, info));
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194
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195 unitary_hess_mat = hess_mat;
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196 double *z = unitary_hess_mat.fortran_vec ();
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197
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198 F77_XFCN (dorghr, DORGHR, (n, ilo, ihi, z, n, ptau, pwork,
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199 lwork, info));
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200
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201 F77_XFCN (dgebak, DGEBAK, (F77_CONST_CHAR_ARG2 (&job, 1),
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202 F77_CONST_CHAR_ARG2 (&side, 1),
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203 n, ilo, ihi, pscale, n, z,
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204 n, info
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205 F77_CHAR_ARG_LEN (1)
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206 F77_CHAR_ARG_LEN (1)));
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207
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208 // If someone thinks of a more graceful way of doing
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209 // this (or faster for that matter :-)), please let
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210 // me know!
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211
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212 if (n > 2)
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213 for (octave_idx_type j = 0; j < a_nc; j++)
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214 for (octave_idx_type i = j+2; i < a_nr; i++)
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215 hess_mat.elem (i, j) = 0;
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216
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217 return info;
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218 }
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219
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220 template <>
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221 octave_idx_type
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222 hess<FloatMatrix>::init (const FloatMatrix& a)
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223 {
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224 octave_idx_type a_nr = a.rows ();
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225 octave_idx_type a_nc = a.cols ();
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226
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227 if (a_nr != a_nc)
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228 (*current_liboctave_error_handler) ("hess: requires square matrix");
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229
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230 char job = 'N';
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231 char side = 'R';
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232
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233 octave_idx_type n = a_nc;
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234 octave_idx_type lwork = 32 * n;
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235 octave_idx_type info;
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236 octave_idx_type ilo;
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237 octave_idx_type ihi;
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238
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239 hess_mat = a;
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240 float *h = hess_mat.fortran_vec ();
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241
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242 Array<float> scale (dim_vector (n, 1));
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243 float *pscale = scale.fortran_vec ();
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244
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245 F77_XFCN (sgebal, SGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1),
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246 n, h, n, ilo, ihi, pscale, info
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247 F77_CHAR_ARG_LEN (1)));
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248
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249 Array<float> tau (dim_vector (n-1, 1));
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250 float *ptau = tau.fortran_vec ();
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251
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252 Array<float> work (dim_vector (lwork, 1));
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253 float *pwork = work.fortran_vec ();
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254
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255 F77_XFCN (sgehrd, SGEHRD, (n, ilo, ihi, h, n, ptau, pwork,
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256 lwork, info));
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257
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258 unitary_hess_mat = hess_mat;
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259 float *z = unitary_hess_mat.fortran_vec ();
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260
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261 F77_XFCN (sorghr, SORGHR, (n, ilo, ihi, z, n, ptau, pwork,
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262 lwork, info));
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263
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264 F77_XFCN (sgebak, SGEBAK, (F77_CONST_CHAR_ARG2 (&job, 1),
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265 F77_CONST_CHAR_ARG2 (&side, 1),
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266 n, ilo, ihi, pscale, n, z,
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267 n, info
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268 F77_CHAR_ARG_LEN (1)
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269 F77_CHAR_ARG_LEN (1)));
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270
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271 // If someone thinks of a more graceful way of doing
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John W. Eaton <jwe@octave.org>
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272 // this (or faster for that matter :-)), please let
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John W. Eaton <jwe@octave.org>
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273 // me know!
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274
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275 if (n > 2)
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276 for (octave_idx_type j = 0; j < a_nc; j++)
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277 for (octave_idx_type i = j+2; i < a_nr; i++)
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278 hess_mat.elem (i, j) = 0;
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279
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280 return info;
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281 }
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282
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283 template <>
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284 octave_idx_type
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285 hess<ComplexMatrix>::init (const ComplexMatrix& a)
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286 {
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287 octave_idx_type a_nr = a.rows ();
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288 octave_idx_type a_nc = a.cols ();
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289
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290 if (a_nr != a_nc)
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291 (*current_liboctave_error_handler) ("hess: requires square matrix");
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292
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293 char job = 'N';
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294 char side = 'R';
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295
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296 octave_idx_type n = a_nc;
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297 octave_idx_type lwork = 32 * n;
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298 octave_idx_type info;
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299 octave_idx_type ilo;
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300 octave_idx_type ihi;
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301
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302 hess_mat = a;
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303 Complex *h = hess_mat.fortran_vec ();
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304
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305 Array<double> scale (dim_vector (n, 1));
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306 double *pscale = scale.fortran_vec ();
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307
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308 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1),
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309 n, h, n, ilo, ihi, pscale, info
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310 F77_CHAR_ARG_LEN (1)));
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311
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312 Array<Complex> tau (dim_vector (n-1, 1));
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313 Complex *ptau = tau.fortran_vec ();
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314
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315 Array<Complex> work (dim_vector (lwork, 1));
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316 Complex *pwork = work.fortran_vec ();
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317
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318 F77_XFCN (zgehrd, ZGEHRD, (n, ilo, ihi, h, n, ptau, pwork, lwork, info));
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319
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320 unitary_hess_mat = hess_mat;
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321 Complex *z = unitary_hess_mat.fortran_vec ();
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322
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323 F77_XFCN (zunghr, ZUNGHR, (n, ilo, ihi, z, n, ptau, pwork,
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324 lwork, info));
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325
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326 F77_XFCN (zgebak, ZGEBAK, (F77_CONST_CHAR_ARG2 (&job, 1),
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327 F77_CONST_CHAR_ARG2 (&side, 1),
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328 n, ilo, ihi, pscale, n, z, n, info
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329 F77_CHAR_ARG_LEN (1)
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diff changeset
330 F77_CHAR_ARG_LEN (1)));
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331
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diff changeset
332 // If someone thinks of a more graceful way of
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
333 // doing this (or faster for that matter :-)),
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
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diff changeset
334 // please let me know!
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335
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336 if (n > 2)
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337 for (octave_idx_type j = 0; j < a_nc; j++)
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338 for (octave_idx_type i = j+2; i < a_nr; i++)
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339 hess_mat.elem (i, j) = 0;
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340
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341 return info;
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John W. Eaton <jwe@octave.org>
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342 }
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343
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344 template <>
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345 octave_idx_type
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346 hess<FloatComplexMatrix>::init (const FloatComplexMatrix& a)
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diff changeset
347 {
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348 octave_idx_type a_nr = a.rows ();
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349 octave_idx_type a_nc = a.cols ();
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350
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351 if (a_nr != a_nc)
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diff changeset
352 {
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diff changeset
353 (*current_liboctave_error_handler) ("hess: requires square matrix");
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354 return -1;
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John W. Eaton <jwe@octave.org>
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355 }
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diff changeset
356
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diff changeset
357 char job = 'N';
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358 char side = 'R';
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John W. Eaton <jwe@octave.org>
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diff changeset
359
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John W. Eaton <jwe@octave.org>
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360 octave_idx_type n = a_nc;
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John W. Eaton <jwe@octave.org>
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diff changeset
361 octave_idx_type lwork = 32 * n;
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John W. Eaton <jwe@octave.org>
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diff changeset
362 octave_idx_type info;
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John W. Eaton <jwe@octave.org>
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diff changeset
363 octave_idx_type ilo;
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
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diff changeset
364 octave_idx_type ihi;
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
365
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John W. Eaton <jwe@octave.org>
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diff changeset
366 hess_mat = a;
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diff changeset
367 FloatComplex *h = hess_mat.fortran_vec ();
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parents: 21202
diff changeset
368
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John W. Eaton <jwe@octave.org>
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diff changeset
369 Array<float> scale (dim_vector (n, 1));
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John W. Eaton <jwe@octave.org>
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diff changeset
370 float *pscale = scale.fortran_vec ();
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John W. Eaton <jwe@octave.org>
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diff changeset
371
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John W. Eaton <jwe@octave.org>
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diff changeset
372 F77_XFCN (cgebal, CGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1),
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
373 n, h, n, ilo, ihi, pscale, info
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
374 F77_CHAR_ARG_LEN (1)));
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
375
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
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diff changeset
376 Array<FloatComplex> tau (dim_vector (n-1, 1));
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
377 FloatComplex *ptau = tau.fortran_vec ();
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
378
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
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diff changeset
379 Array<FloatComplex> work (dim_vector (lwork, 1));
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John W. Eaton <jwe@octave.org>
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diff changeset
380 FloatComplex *pwork = work.fortran_vec ();
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
381
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John W. Eaton <jwe@octave.org>
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diff changeset
382 F77_XFCN (cgehrd, CGEHRD, (n, ilo, ihi, h, n, ptau, pwork, lwork, info));
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
383
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
384 unitary_hess_mat = hess_mat;
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
385 FloatComplex *z = unitary_hess_mat.fortran_vec ();
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
386
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John W. Eaton <jwe@octave.org>
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diff changeset
387 F77_XFCN (cunghr, CUNGHR, (n, ilo, ihi, z, n, ptau, pwork,
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
388 lwork, info));
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
389
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
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diff changeset
390 F77_XFCN (cgebak, CGEBAK, (F77_CONST_CHAR_ARG2 (&job, 1),
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
391 F77_CONST_CHAR_ARG2 (&side, 1),
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
392 n, ilo, ihi, pscale, n, z, n, info
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
393 F77_CHAR_ARG_LEN (1)
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
394 F77_CHAR_ARG_LEN (1)));
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
395
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
396 // If someone thinks of a more graceful way of
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
397 // doing this (or faster for that matter :-)),
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
398 // please let me know!
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
399
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
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diff changeset
400 if (n > 2)
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John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
401 for (octave_idx_type j = 0; j < a_nc; j++)
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
402 for (octave_idx_type i = j+2; i < a_nr; i++)
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
403 hess_mat.elem (i, j) = 0;
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
404
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
405 return info;
f5b8c3aca5f8 make better use of templates for Hessenberg decomposition
John W. Eaton <jwe@octave.org>
parents: 21202
diff changeset
406 }