annotate src/DLD-FUNCTIONS/pinv.cc @ 7016:93c65f2a5668

[project @ 2007-10-12 06:40:56 by jwe]
author jwe
date Fri, 12 Oct 2007 06:41:26 +0000
parents 080c08b192d8
children a1dbe9d80eee
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1 /*
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2
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3 Copyright (C) 1996, 1997 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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22
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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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26
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27 #include "defun-dld.h"
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28 #include "error.h"
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29 #include "gripes.h"
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30 #include "oct-obj.h"
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31 #include "utils.h"
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32
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33 DEFUN_DLD (pinv, args, ,
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34 "-*- texinfo -*-\n\
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35 @deftypefn {Loadable Function} {} pinv (@var{x}, @var{tol})\n\
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36 Return the pseudoinverse of @var{x}. Singular values less than\n\
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37 @var{tol} are ignored. \n\
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38 \n\
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39 If the second argument is omitted, it is assumed that\n\
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40 \n\
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41 @example\n\
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42 tol = max (size (@var{x})) * sigma_max (@var{x}) * eps,\n\
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43 @end example\n\
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44 \n\
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45 @noindent\n\
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46 where @code{sigma_max (@var{x})} is the maximal singular value of @var{x}.\n\
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47 @end deftypefn")
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48 {
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49 octave_value retval;
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50
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51 int nargin = args.length ();
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52
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53 if (nargin < 1 || nargin > 2)
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54 {
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55 print_usage ();
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56 return retval;
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57 }
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58
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59 octave_value arg = args(0);
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60
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61 double tol = 0.0;
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62 if (nargin == 2)
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63 tol = args(1).double_value ();
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64
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65 if (error_state)
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66 return retval;
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67
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68 if (tol < 0.0)
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69 {
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70 error ("pinv: tol must be greater than zero");
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71 return retval;
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72 }
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73
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74 int arg_is_empty = empty_arg ("pinv", arg.rows (), arg.columns ());
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75
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76 if (arg_is_empty < 0)
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77 return retval;
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78 else if (arg_is_empty > 0)
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79 return octave_value (Matrix ());
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80
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81 if (arg.is_real_type ())
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82 {
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83 Matrix m = arg.matrix_value ();
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84
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85 if (! error_state)
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86 retval = m.pseudo_inverse (tol);
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87 }
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88 else if (arg.is_complex_type ())
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89 {
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90 ComplexMatrix m = arg.complex_matrix_value ();
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91
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92 if (! error_state)
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93 retval = m.pseudo_inverse (tol);
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94 }
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95 else
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96 {
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97 gripe_wrong_type_arg ("pinv", arg);
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98 }
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99
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100 return retval;
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101 }
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102
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103 /*
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104 ;;; Local Variables: ***
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105 ;;; mode: C++ ***
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106 ;;; End: ***
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107 */