annotate scripts/linear-algebra/subspace.m @ 16048:10142aad4b9f classdef

Implement indirect method call: fun(obj, ...). * libinterp/octave-value/ov-classdef.h (class cdef_manager): New class. (cdef_method::cdef_method_rep::meta_subsref, cdef_method::cdef_method_rep::meta_is_postfix_index_handled): New methods. * libinterp/octave-value/ov-classdef.cc (all_packages, all_classes): Move static variables to class cdef_manager. (lookup_class (std::string, bool, bool)): Move implementation to method cdef_manager::do_find_class(). (lookup_package): Move implementation to method cdef_manager::do_find_package(). (make_class): Use cdef_manager::register_class. (make_package): Use cdef_manager::register_package and cdef_manager::find_package. (cdef_class::cdef_class_rep::meta_release): Use cdef_manager::unregister_class. (cdef_method::cdef_method_rep::meta_subsref): New method. (class cdef_manager): New class. * libinterp/interpfcn/symtab.cc (symbol_table::fcn_info::fcn_info_rep::load_class_constructor): Look for classdef constructor in normal m-files. Call find_user_function() and check whether the result is a classdef constructor. If it is, stash it as a constructor and restore the previous value of function_on_path. (symbol_table::fcn_info::fcn_info_rep::load_class_method): Look for method in classdef system, using cdef_manager::find_method_symbol().
author Michael Goffioul <michael.goffioul@gmail.com>
date Mon, 11 Feb 2013 15:20:00 -0500
parents 72c96de7a403
children 1c89599167a6
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72c96de7a403 maint: update copyright notices for 2012
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1 ## Copyright (C) 2008-2012 VZLU Prague, a.s., Czech Republic
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {@var{angle} =} subspace (@var{A}, @var{B})
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21 ## Determine the largest principal angle between two subspaces
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22 ## spanned by the columns of matrices @var{A} and @var{B}.
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23 ## @end deftypefn
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24
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25 ## Author: Jaroslav Hajek <highegg@gmail.com>
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26
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27 ## reference:
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28 ## [1] Andrew V. Knyazev, Merico E. Argentati:
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29 ## Principal Angles between Subspaces in an A-Based Scalar Product:
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30 ## Algorithms and Perturbation Estimates.
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31 ## SIAM Journal on Scientific Computing, Vol. 23 no. 6, pp. 2008-2040
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32 ##
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33 ## other texts are also around...
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34
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35 function ang = subspace (A, B)
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36
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37 if (nargin != 2)
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38 print_usage ();
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39 elseif (ndims (A) != 2 || ndims (B) != 2)
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40 error ("subspace: expecting A and B to be 2-dimensional arrays");
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41 elseif (rows (A) != rows (B))
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42 error ("subspace: column dimensions of A and B must match");
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43 endif
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44
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45 A = orth (A);
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46 B = orth (B);
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47 c = A'*B;
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48 scos = min (svd (c));
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49 if (scos^2 > 1/2)
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50 if (columns (A) >= columns (B))
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51 c = B - A*c;
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52 else
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53 c = A - B*c';
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54 endif
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55 ssin = max (svd (c));
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56 ang = asin (min (ssin, 1));
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57 else
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58 ang = acos (scos);
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59 endif
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60
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61 endfunction