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annotate m-toolbox/classes/@matrix/inv.m @ 0:f0afece42f48

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Import.
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % INV evaluates the inverse for matrix object.
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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3 %
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4 % DESCRIPTION: INV evaluates the inverse for matrix objects.
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5 %
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6 % CALL: obj = inv(mat)
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7 % obj = mat.inv()
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8 %
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9 % <a href="matlab:utils.helper.displayMethodInfo('matrix', 'inv')">Parameters Description</a>
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10 %
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11 % VERSION: $Id: inv.m,v 1.10 2011/04/08 08:56:31 hewitson Exp $
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12 %
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13 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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14
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15 function varargout = inv(varargin)
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16
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17 % Check if this is a call for parameters
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18 if utils.helper.isinfocall(varargin{:})
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19 varargout{1} = getInfo(varargin{3});
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20 return
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21 end
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22
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23 % Check if the method was called by another method
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24 callerIsMethod = utils.helper.callerIsMethod;
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25
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26 % Collect input variable names
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27 in_names = cell(size(varargin));
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28 for ii = 1:nargin,in_names{ii} = inputname(ii);end
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29
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30 % Collect all matrices and plists
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31 [as, matrix_invars, rest] = utils.helper.collect_objects(varargin(:), 'matrix', in_names);
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32 [pl, pl_invars, rest] = utils.helper.collect_objects(varargin(:), 'plist', in_names);
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33
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34 % Decide on a deep copy or a modify
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35 bs = copy(as, nargout);
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36
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37 % Combine input plists and default plist
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38 usepl = parse(pl, getDefaultPlist());
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39
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40 % do dimension check
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41 [rw,cl] = size(bs.objs);
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42 if rw ~= cl
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43 error('### Matrix must be square');
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44 end
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45
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46 % get the determinant
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47 DA = det(bs);
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48
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49 % build cofactor matrix
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50 C = copy(bs,1);
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51 for ii = 1:rw % raw index
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52 for jj = 1:cl % column index
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53 % ij Minor of A
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54 MA = copy(bs,1);
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55 MA.objs(ii,:) = [];
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56 MA.objs(:,jj) = [];
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57 % cofactor
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58 C.objs(ii,jj) = det(MA).*((-1)^(ii+jj));
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59 end
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60 end
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61 % get the transpose of cofactors matrix
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62 CT = transpose(C);
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63 % do inverse
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64 bs = CT./matrix(DA);
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65
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66 if ~callerIsMethod
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67 % set name
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68 bs.setName(sprintf('inv(%s)', in_names{1}));
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69
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70 % Add history
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71 bs.addHistory(getInfo('None'), usepl, [matrix_invars(:)], [as(:).hist]);
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72 end
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73
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74 varargout{1} = bs;
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75
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76 end
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77
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78 %--------------------------------------------------------------------------
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79 % Get Info Object
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80 %--------------------------------------------------------------------------
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81 function ii = getInfo(varargin)
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82
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83 if nargin == 1 && strcmpi(varargin{1}, 'None')
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84 sets = {};
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85 pl = [];
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86 else
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87 sets = {'Default'};
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88 pl = getDefaultPlist;
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89 end
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90 % Build info object
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91 ii = minfo(mfilename, 'matrix', 'ltpda', utils.const.categories.op, '$Id: inv.m,v 1.10 2011/04/08 08:56:31 hewitson Exp $', sets, pl);
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92 end
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93
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94 %--------------------------------------------------------------------------
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95 % Get Default Plist
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96 %--------------------------------------------------------------------------
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97
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98 function plout = getDefaultPlist()
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99 persistent pl;
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100 if ~exist('pl', 'var') || isempty(pl)
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101 pl = buildplist();
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102 end
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103 plout = pl;
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104 end
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105
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106 function pl = buildplist()
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107 pl = plist.EMPTY_PLIST;
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108 end
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109