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annotate m-toolbox/classes/@matrix/det.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 % DET evaluates the determinant for matrix object.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 % DESCRIPTION: DET evaluates the determinant for matrix objects.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 % The objects must belong to the same class (e.g. ao, smodel, ...)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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6 % The result is an object of the class itself
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Daniele Nicolodi <nicolodi@science.unitn.it>
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7 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8 % CALL: obj = det(mat)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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9 % obj = mat.det()
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10 %
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11 % <a href="matlab:utils.helper.displayMethodInfo('matrix', 'det')">Parameters Description</a>
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12 %
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13 % VERSION: $Id: det.m,v 1.13 2011/04/08 08:56:31 hewitson Exp $
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14 %
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15 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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16
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 function out = det(varargin)
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18
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19 callerIsMethod = utils.helper.callerIsMethod;
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20
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21 if callerIsMethod
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22 as = [varargin{:}];
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23 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 % Check if this is a call for parameters
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 if utils.helper.isinfocall(varargin{:})
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 out = getInfo(varargin{3});
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 return
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28 end
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29
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30 % Collect input variable names
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31 in_names = cell(size(varargin));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 for ii = 1:nargin,in_names{ii} = inputname(ii);end
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33
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 % Collect all matrices and plists
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35 [as, matrix_invars, rest] = utils.helper.collect_objects(varargin(:), 'matrix', in_names);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 [pl, pl_invars, rest] = utils.helper.collect_objects(varargin(:), 'plist', in_names);
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37
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38 % Combine input plists and default plist
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39 usepl = parse(pl, getDefaultPlist());
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40 end
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41
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42 % extract objects
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43 objmat = as.objs;
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44
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45 % we check now the dimensionality to be sure to have a square matrix
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46 [rw, cl] = size(objmat);
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47 if rw ~= cl
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48 error('### Matrix must be square');
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49 end
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50
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51 % Let's go with textbook definition
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 switch cl
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 case 0
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54 % To be compliant with definition.
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55 % Here we choose to output an ao, so we can have history;
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56 % if used with other objetcs (ao, smodel, ...) it will be promoted anyways
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57 out = ao(1);
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58 case 1
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59 out = objmat;
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60 case 2
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61 out = objmat(1,1) .* objmat(2,2) - objmat(2,1) .* objmat(1,2);
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62 otherwise
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63 dmod_minor = eval(sprintf('%s.initObjectWithSize(1,cl);', class(objmat)));
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64
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65 % Cache these objects not to produce them iteratively
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66 coeff_minus = ao(-1);
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67 coeff_plus = ao(1);
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68 for jj = 1:cl
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69 Amod = objmat;
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70 Amod(1,:) = [];
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71 Amod(:,jj) = [];
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72 Am = matrix(Amod);
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73 if (-1).^(jj+1) > 0
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74 coeff = coeff_plus;
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75 else
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76 coeff = coeff_minus;
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77 end
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78 dmod_minor(jj) = objmat(1,jj) .* det(Am) * coeff;
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79 end
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80 % sum over elements
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81 out = dmod_minor(1);
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82 for kk = 2:numel(dmod_minor)
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83 out = out + dmod_minor(kk);
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84 end
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85 end
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86
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87 if ~callerIsMethod
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88 % Set name
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89 out.setName(sprintf('det(%s)', in_names{1}));
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90
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91 % Add history
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92 out.addHistory(getInfo('None'), usepl, {inputname(1)}, [as(:).hist]);
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93 end
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94
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95 end
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96
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97 %--------------------------------------------------------------------------
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98 % Get Info Object
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99 %--------------------------------------------------------------------------
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100 function ii = getInfo(varargin)
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101
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102 if nargin == 1 && strcmpi(varargin{1}, 'None')
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103 sets = {};
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104 pl = [];
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105 else
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106 sets = {'Default'};
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107 pl = getDefaultPlist;
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108 end
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109 % Build info object
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110 ii = minfo(mfilename, 'matrix', 'ltpda', utils.const.categories.op, '$Id: det.m,v 1.13 2011/04/08 08:56:31 hewitson Exp $', sets, pl);
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111 end
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112
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113 %--------------------------------------------------------------------------
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114 % Get Default Plist
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115 %--------------------------------------------------------------------------
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116
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117 function plout = getDefaultPlist()
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118 persistent pl;
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119 if ~exist('pl', 'var') || isempty(pl)
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120 pl = buildplist();
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121 end
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122 plout = pl;
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123 end
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124
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125 function pl = buildplist()
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126 pl = plist.EMPTY_PLIST;
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127 end
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128