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| date | Wed, 20 Jan 2016 09:23:18 -0500 |
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| 1 <html> | |
| 2 <head> | |
| 3 <title>MayaChemTools:Code:Matrix.pm</title> | |
| 4 <meta http-equiv="content-type" content="text/html;charset=utf-8"> | |
| 5 <link rel="stylesheet" type="text/css" href="../../../css/MayaChemToolsCode.css"> | |
| 6 </head> | |
| 7 <body leftmargin="20" rightmargin="20" topmargin="10" bottommargin="10"> | |
| 8 <br/> | |
| 9 <center> | |
| 10 <a href="http://www.mayachemtools.org" title="MayaChemTools Home"><img src="../../../images/MayaChemToolsLogo.gif" border="0" alt="MayaChemTools"></a> | |
| 11 </center> | |
| 12 <br/> | |
| 13 <pre> | |
| 14 <a name="package-Matrix-"></a> 1 <span class="k">package </span><span class="i">Matrix</span><span class="sc">;</span> | |
| 15 2 <span class="c">#</span> | |
| 16 3 <span class="c"># $RCSfile: Matrix.pm,v $</span> | |
| 17 4 <span class="c"># $Date: 2015/02/28 20:47:17 $</span> | |
| 18 5 <span class="c"># $Revision: 1.16 $</span> | |
| 19 6 <span class="c">#</span> | |
| 20 7 <span class="c"># Author: Manish Sud <msud@san.rr.com></span> | |
| 21 8 <span class="c">#</span> | |
| 22 9 <span class="c"># Copyright (C) 2015 Manish Sud. All rights reserved.</span> | |
| 23 10 <span class="c">#</span> | |
| 24 11 <span class="c"># This file is part of MayaChemTools.</span> | |
| 25 12 <span class="c">#</span> | |
| 26 13 <span class="c"># MayaChemTools is free software; you can redistribute it and/or modify it under</span> | |
| 27 14 <span class="c"># the terms of the GNU Lesser General Public License as published by the Free</span> | |
| 28 15 <span class="c"># Software Foundation; either version 3 of the License, or (at your option) any</span> | |
| 29 16 <span class="c"># later version.</span> | |
| 30 17 <span class="c">#</span> | |
| 31 18 <span class="c"># MayaChemTools is distributed in the hope that it will be useful, but without</span> | |
| 32 19 <span class="c"># any warranty; without even the implied warranty of merchantability of fitness</span> | |
| 33 20 <span class="c"># for a particular purpose. See the GNU Lesser General Public License for more</span> | |
| 34 21 <span class="c"># details.</span> | |
| 35 22 <span class="c">#</span> | |
| 36 23 <span class="c"># You should have received a copy of the GNU Lesser General Public License</span> | |
| 37 24 <span class="c"># along with MayaChemTools; if not, see <http://www.gnu.org/licenses/> or</span> | |
| 38 25 <span class="c"># write to the Free Software Foundation Inc., 59 Temple Place, Suite 330,</span> | |
| 39 26 <span class="c"># Boston, MA, 02111-1307, USA.</span> | |
| 40 27 <span class="c">#</span> | |
| 41 28 | |
| 42 29 <span class="k">use</span> <span class="w">strict</span><span class="sc">;</span> | |
| 43 30 <span class="k">use</span> <span class="w">Carp</span><span class="sc">;</span> | |
| 44 31 <span class="k">use</span> <span class="w">Exporter</span><span class="sc">;</span> | |
| 45 32 <span class="k">use</span> <span class="w">Scalar::Util</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 46 33 <span class="k">use</span> <span class="w">Vector</span><span class="sc">;</span> | |
| 47 34 | |
| 48 35 <span class="k">use</span> <span class="w">vars</span> <span class="q">qw(@ISA @EXPORT @EXPORT_OK %EXPORT_TAGS)</span><span class="sc">;</span> | |
| 49 36 | |
| 50 37 <span class="i">@ISA</span> = <span class="q">qw(Exporter)</span><span class="sc">;</span> | |
| 51 38 <span class="i">@EXPORT</span> = <span class="q">qw(IsMatrix IdentityMatrix NewFromRows NewFromColumns NewFromDiagonal UnitMatrix ZeroMatrix)</span><span class="sc">;</span> | |
| 52 39 <span class="i">@EXPORT_OK</span> = <span class="q">qw(SetValuePrintFormat)</span><span class="sc">;</span> | |
| 53 40 | |
| 54 41 <span class="i">%EXPORT_TAGS</span> = <span class="s">(</span> | |
| 55 42 <span class="w">all</span> <span class="cm">=></span> <span class="s">[</span><span class="i">@EXPORT</span><span class="cm">,</span> <span class="i">@EXPORT_OK</span><span class="s">]</span> | |
| 56 43 <span class="s">)</span><span class="sc">;</span> | |
| 57 44 | |
| 58 45 <span class="c"># Setup class variables...</span> | |
| 59 46 <span class="k">my</span><span class="s">(</span><span class="i">$ClassName</span><span class="cm">,</span> <span class="i">$ValueFormat</span><span class="cm">,</span> <span class="i">$MatrixPrintStyle</span><span class="s">)</span><span class="sc">;</span> | |
| 60 47 <span class="i">_InitializeClass</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 61 48 | |
| 62 49 <span class="c">#</span> | |
| 63 50 <span class="c"># Using the following explicity overloaded operators, Perl automatically generates methods</span> | |
| 64 51 <span class="c"># for operations with no explicitly defined methods. Autogenerated methods are possible for</span> | |
| 65 52 <span class="c"># these operators:</span> | |
| 66 53 <span class="c">#</span> | |
| 67 54 <span class="c"># o Arithmetic operators: += -= *= /= **= %= ++ -- x= .=</span> | |
| 68 55 <span class="c"># o Increment and decrement: ++ --</span> | |
| 69 56 <span class="c">#</span> | |
| 70 57 <span class="c"># 'fallback' is set to 'false' to raise exception for all other operators.</span> | |
| 71 58 <span class="c">#</span> | |
| 72 59 <span class="k">use</span> <span class="w">overload</span> <span class="q">'""'</span> <span class="cm">=></span> <span class="q">'StringifyMatrix'</span><span class="cm">,</span> | |
| 73 60 | |
| 74 61 <span class="q">'@{}'</span> <span class="cm">=></span> <span class="q">'_MatrixToArrayOperator'</span><span class="cm">,</span> | |
| 75 62 | |
| 76 63 <span class="q">'+'</span> <span class="cm">=></span> <span class="q">'_MatrixAdditionOperator'</span><span class="cm">,</span> | |
| 77 64 <span class="q">'-'</span> <span class="cm">=></span> <span class="q">'_MatrixSubtractionOperator'</span><span class="cm">,</span> | |
| 78 65 <span class="q">'*'</span> <span class="cm">=></span> <span class="q">'_MatrixMultiplicationOperator'</span><span class="cm">,</span> | |
| 79 66 <span class="q">'/'</span> <span class="cm">=></span> <span class="q">'_MatrixDivisionOperator'</span><span class="cm">,</span> | |
| 80 67 <span class="q">'**'</span> <span class="cm">=></span> <span class="q">'_MatrixExponentiationOperator'</span><span class="cm">,</span> | |
| 81 68 <span class="q">'%'</span> <span class="cm">=></span> <span class="q">'_MatrixModulusOperator'</span><span class="cm">,</span> | |
| 82 69 | |
| 83 70 <span class="q">'bool'</span> <span class="cm">=></span> <span class="q">'_MatrixBooleanOperator'</span><span class="cm">,</span> | |
| 84 71 <span class="q">'!'</span> <span class="cm">=></span> <span class="q">'_MatrixNotBooleanOperator'</span><span class="cm">,</span> | |
| 85 72 | |
| 86 73 <span class="q">'=='</span> <span class="cm">=></span> <span class="q">'_MatrixEqualOperator'</span><span class="cm">,</span> | |
| 87 74 <span class="q">'!='</span> <span class="cm">=></span> <span class="q">'_MatrixNotEqualOperator'</span><span class="cm">,</span> | |
| 88 75 <span class="q">'<'</span> <span class="cm">=></span> <span class="q">'_MatrixLessThanOperator'</span><span class="cm">,</span> | |
| 89 76 <span class="q">'<='</span> <span class="cm">=></span> <span class="q">'_MatrixLessThanEqualOperator'</span><span class="cm">,</span> | |
| 90 77 <span class="q">'>'</span> <span class="cm">=></span> <span class="q">'_MatrixGreatarThanOperator'</span><span class="cm">,</span> | |
| 91 78 <span class="q">'>='</span> <span class="cm">=></span> <span class="q">'_MatrixGreatarThanEqualOperator'</span><span class="cm">,</span> | |
| 92 79 | |
| 93 80 <span class="q">'neg'</span> <span class="cm">=></span> <span class="q">'_MatrixNegativeValueOperator'</span><span class="cm">,</span> | |
| 94 81 | |
| 95 82 <span class="q">'abs'</span> <span class="cm">=></span> <span class="q">'_MatrixAbsoluteValueOperator'</span><span class="cm">,</span> | |
| 96 83 <span class="q">'exp'</span> <span class="cm">=></span> <span class="q">'_MatrixExpNaturalBaseOperator'</span><span class="cm">,</span> | |
| 97 84 <span class="q">'log'</span> <span class="cm">=></span> <span class="q">'_MatrixLogNaturalBaseOperator'</span><span class="cm">,</span> | |
| 98 85 <span class="q">'sqrt'</span> <span class="cm">=></span> <span class="q">'_MatrixSquareRootOperator'</span><span class="cm">,</span> | |
| 99 86 <span class="q">'cos'</span> <span class="cm">=></span> <span class="q">'_MatrixCosineOperator'</span><span class="cm">,</span> | |
| 100 87 <span class="q">'sin'</span> <span class="cm">=></span> <span class="q">'_MatrixSineOperator'</span><span class="cm">,</span> | |
| 101 88 | |
| 102 89 <span class="q">'fallback'</span> <span class="cm">=></span> <span class="k">undef</span><span class="sc">;</span> | |
| 103 90 | |
| 104 91 <span class="c"># Class constructor...</span> | |
| 105 <a name="new-"></a> 92 <span class="k">sub </span><span class="m">new</span> <span class="s">{</span> | |
| 106 93 <span class="k">my</span><span class="s">(</span><span class="i">$Class</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 107 94 | |
| 108 95 <span class="c"># Initialize object...</span> | |
| 109 96 <span class="k">my</span> <span class="i">$This</span> = <span class="s">{</span><span class="s">}</span><span class="sc">;</span> | |
| 110 97 <span class="k">bless</span> <span class="i">$This</span><span class="cm">,</span> <span class="k">ref</span><span class="s">(</span><span class="i">$Class</span><span class="s">)</span> || <span class="i">$Class</span><span class="sc">;</span> | |
| 111 98 <span class="i">$This</span><span class="i">->_InitializeMatrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 112 99 | |
| 113 100 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 114 101 <span class="s">}</span> | |
| 115 102 | |
| 116 103 <span class="c"># Initialize object data...</span> | |
| 117 104 <span class="c">#</span> | |
| 118 <a name="_InitializeMatrix-"></a> 105 <span class="k">sub </span><span class="m">_InitializeMatrix</span> <span class="s">{</span> | |
| 119 106 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 120 107 | |
| 121 108 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span> && <span class="k">defined</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 122 109 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_InitializeMatrix: NumOfRows and NumOfCols must be specified..."</span><span class="sc">;</span> | |
| 123 110 <span class="s">}</span> | |
| 124 111 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="s">(</span><span class="i">$NumOfRows</span> > <span class="n">0</span><span class="s">)</span> && <span class="s">(</span><span class="i">$NumOfRows</span> > <span class="n">0</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 125 112 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_InitializeMatrix: NumOfRows and NumOfCols must be a positive number..."</span><span class="sc">;</span> | |
| 126 113 <span class="s">}</span> | |
| 127 114 <span class="c"># Initialize matrix elements to zero...</span> | |
| 128 115 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 129 116 | |
| 130 117 <span class="k">my</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">@EmptyRow</span><span class="s">)</span><span class="sc">;</span> | |
| 131 118 | |
| 132 119 <span class="i">@EmptyRow</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 133 120 <span class="i">@EmptyRow</span> = <span class="s">(</span><span class="q">'0'</span><span class="s">)</span> x <span class="i">$NumOfCols</span><span class="sc">;</span> | |
| 134 121 | |
| 135 122 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 136 123 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>]} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 137 124 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>]} = <span class="i">@EmptyRow</span><span class="sc">;</span> | |
| 138 125 <span class="s">}</span> | |
| 139 126 <span class="s">}</span> | |
| 140 127 | |
| 141 128 <span class="c"># Initialize class ...</span> | |
| 142 <a name="_InitializeClass-"></a> 129 <span class="k">sub </span><span class="m">_InitializeClass</span> <span class="s">{</span> | |
| 143 130 <span class="c">#Class name...</span> | |
| 144 131 <span class="i">$ClassName</span> = <span class="w">__PACKAGE__</span><span class="sc">;</span> | |
| 145 132 | |
| 146 133 <span class="c"># Print style for matrix rows during StringifyMatrix operation.</span> | |
| 147 134 <span class="c"># Possible values: AllRowsInOneLine, OneRowPerLine</span> | |
| 148 135 <span class="c">#</span> | |
| 149 136 <span class="i">$MatrixPrintStyle</span> = <span class="q">"AllRowsInOneLine"</span><span class="sc">;</span> | |
| 150 137 | |
| 151 138 <span class="c"># Print format for matrix values...</span> | |
| 152 139 <span class="i">$ValueFormat</span> = <span class="q">"%g"</span><span class="sc">;</span> | |
| 153 140 <span class="s">}</span> | |
| 154 141 | |
| 155 142 <span class="c"># Get matrix size...</span> | |
| 156 143 <span class="c">#</span> | |
| 157 <a name="GetSize-"></a> 144 <span class="k">sub </span><span class="m">GetSize</span> <span class="s">{</span> | |
| 158 145 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 159 146 | |
| 160 147 <span class="k">return</span> <span class="s">(</span><span class="i">$This</span><span class="i">->GetNumOfRows</span><span class="s">(</span><span class="s">)</span><span class="cm">,</span> <span class="i">$This</span><span class="i">->GetNumOfColumns</span><span class="s">(</span><span class="s">)</span><span class="s">)</span><span class="sc">;</span> | |
| 161 148 <span class="s">}</span> | |
| 162 149 | |
| 163 150 <span class="c"># Get matrix dimensions...</span> | |
| 164 151 <span class="c">#</span> | |
| 165 <a name="GetDimension-"></a> 152 <span class="k">sub </span><span class="m">GetDimension</span> <span class="s">{</span> | |
| 166 153 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 167 154 | |
| 168 155 <span class="k">return</span> <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 169 156 <span class="s">}</span> | |
| 170 157 | |
| 171 158 <span class="c"># Get number of rows in matrix</span> | |
| 172 159 <span class="c">#</span> | |
| 173 <a name="GetNumOfRows-"></a> 160 <span class="k">sub </span><span class="m">GetNumOfRows</span> <span class="s">{</span> | |
| 174 161 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 175 162 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span><span class="sc">;</span> | |
| 176 163 | |
| 177 164 <span class="c"># Size of row array...</span> | |
| 178 165 <span class="i">$NumOfRows</span> = <span class="i">$#</span>{<span class="i">$This</span>->{<span class="w">Values</span>}} + <span class="n">1</span><span class="sc">;</span> | |
| 179 166 | |
| 180 167 <span class="k">return</span> <span class="i">$NumOfRows</span><span class="sc">;</span> | |
| 181 168 <span class="s">}</span> | |
| 182 169 | |
| 183 170 <span class="c"># Get number of columns in matrix</span> | |
| 184 171 <span class="c">#</span> | |
| 185 <a name="GetNumOfColumns-"></a> 172 <span class="k">sub </span><span class="m">GetNumOfColumns</span> <span class="s">{</span> | |
| 186 173 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 187 174 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 188 175 | |
| 189 176 <span class="c"># Size of column array for first row assuming sizes of columns are same...</span> | |
| 190 177 <span class="i">$NumOfCols</span> = <span class="i">$#</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="n">0</span>]} + <span class="n">1</span><span class="sc">;</span> | |
| 191 178 | |
| 192 179 <span class="k">return</span> <span class="i">$NumOfCols</span><span class="sc">;</span> | |
| 193 180 <span class="s">}</span> | |
| 194 181 | |
| 195 182 <span class="c"># Get reference to array holding matrix values in order to directly manipulate these values...</span> | |
| 196 183 <span class="c">#</span> | |
| 197 <a name="GetMatrixValuesReference-"></a> 184 <span class="k">sub </span><span class="m">GetMatrixValuesReference</span> <span class="s">{</span> | |
| 198 185 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 199 186 | |
| 200 187 <span class="k">return</span> \<span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> | |
| 201 188 <span class="s">}</span> | |
| 202 189 | |
| 203 190 <span class="c"># Copy matrix...</span> | |
| 204 191 <span class="c">#</span> | |
| 205 <a name="Copy-"></a> 192 <span class="k">sub </span><span class="m">Copy</span> <span class="s">{</span> | |
| 206 193 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 207 194 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Matrix</span><span class="s">)</span><span class="sc">;</span> | |
| 208 195 | |
| 209 196 <span class="c"># Create a new matrix...</span> | |
| 210 197 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 211 198 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 212 199 | |
| 213 200 <span class="c"># Set matrix values...</span> | |
| 214 201 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 215 202 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 216 203 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 217 204 <span class="s">}</span> | |
| 218 205 <span class="s">}</span> | |
| 219 206 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 220 207 <span class="s">}</span> | |
| 221 208 | |
| 222 209 <span class="c"># Create a new matrix using rows specified in one of the following formats:</span> | |
| 223 210 <span class="c"># o List of vector objects</span> | |
| 224 211 <span class="c"># o References to list of values</span> | |
| 225 212 <span class="c"># o List of strings containing row values delimited by space</span> | |
| 226 213 <span class="c">#</span> | |
| 227 214 <span class="c"># Each row must contain the same number of values.</span> | |
| 228 215 <span class="c">#</span> | |
| 229 216 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
| 230 217 <span class="c"># object method.</span> | |
| 231 218 <span class="c">#</span> | |
| 232 <a name="NewFromRows-"></a> 219 <span class="k">sub </span><span class="m">NewFromRows</span> <span class="s">{</span> | |
| 233 220 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 234 221 | |
| 235 222 <span class="k">if</span> <span class="s">(</span><span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 236 223 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromRows'</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span><span class="sc">;</span> | |
| 237 224 <span class="s">}</span> | |
| 238 225 <span class="k">else</span> <span class="s">{</span> | |
| 239 226 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromRows'</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 240 227 <span class="s">}</span> | |
| 241 228 <span class="s">}</span> | |
| 242 229 | |
| 243 230 <span class="c"># Create a new matrix using columns specified in one of the following formats:</span> | |
| 244 231 <span class="c"># o List of vector objects</span> | |
| 245 232 <span class="c"># o References to list of values</span> | |
| 246 233 <span class="c"># o List of strings containing columns values delimited by space</span> | |
| 247 234 <span class="c">#</span> | |
| 248 235 <span class="c"># Each columns must contain the same number of values.</span> | |
| 249 236 <span class="c">#</span> | |
| 250 237 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
| 251 238 <span class="c"># object method.</span> | |
| 252 239 <span class="c">#</span> | |
| 253 <a name="NewFromColumns-"></a> 240 <span class="k">sub </span><span class="m">NewFromColumns</span> <span class="s">{</span> | |
| 254 241 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 255 242 | |
| 256 243 <span class="k">if</span> <span class="s">(</span><span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 257 244 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromColumns'</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span><span class="sc">;</span> | |
| 258 245 <span class="s">}</span> | |
| 259 246 <span class="k">else</span> <span class="s">{</span> | |
| 260 247 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromColumns'</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 261 248 <span class="s">}</span> | |
| 262 249 <span class="s">}</span> | |
| 263 250 | |
| 264 251 <span class="c"># Create a new matrix using diagonal values specified in one of the following formats:</span> | |
| 265 252 <span class="c"># o A vector object</span> | |
| 266 253 <span class="c"># o Reference to list of values</span> | |
| 267 254 <span class="c"># o Strings containing diagonal values delimited by space</span> | |
| 268 255 <span class="c">#</span> | |
| 269 256 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
| 270 257 <span class="c"># object method.</span> | |
| 271 258 <span class="c">#</span> | |
| 272 <a name="NewFromDiagonal-"></a> 259 <span class="k">sub </span><span class="m">NewFromDiagonal</span> <span class="s">{</span> | |
| 273 260 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 274 261 | |
| 275 262 <span class="k">if</span> <span class="s">(</span><span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 276 263 <span class="k">return</span> <span class="i">_NewFromDiagonal</span><span class="s">(</span><span class="i">@OtherParamaters</span><span class="s">)</span><span class="sc">;</span> | |
| 277 264 <span class="s">}</span> | |
| 278 265 <span class="k">else</span> <span class="s">{</span> | |
| 279 266 <span class="k">return</span> <span class="i">_NewFromDiagonal</span><span class="s">(</span><span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 280 267 <span class="s">}</span> | |
| 281 268 <span class="s">}</span> | |
| 282 269 | |
| 283 270 <span class="c"># Create a new matrix using diagonal values specified in one of the following formats:</span> | |
| 284 271 <span class="c"># o A vector object</span> | |
| 285 272 <span class="c"># o Reference to list of values</span> | |
| 286 273 <span class="c"># o Strings containing diagonal values delimited by space</span> | |
| 287 274 <span class="c">#</span> | |
| 288 <a name="_NewFromDiagonal-"></a> 275 <span class="k">sub </span><span class="m">_NewFromDiagonal</span> <span class="s">{</span> | |
| 289 276 <span class="k">my</span><span class="s">(</span><span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 290 277 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="cm">,</span> <span class="i">$DiagonalValuesRef</span><span class="s">)</span><span class="sc">;</span> | |
| 291 278 | |
| 292 279 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}::_NewFromDiagonal"</span><span class="sc">;</span> | |
| 293 280 <span class="k">if</span> <span class="s">(</span>!<span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span> <span class="s">{</span> | |
| 294 281 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: No diagonal values specified..."</span><span class="sc">;</span> | |
| 295 282 <span class="s">}</span> | |
| 296 283 | |
| 297 284 <span class="c"># Collect specified diagonal values...</span> | |
| 298 285 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">1</span><span class="sc">;</span> | |
| 299 286 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span><span class="sc">;</span> | |
| 300 287 <span class="i">$DiagonalValuesRef</span> = <span class="i">$ValuesRefs</span>->[<span class="n">0</span>]<span class="sc">;</span> | |
| 301 288 | |
| 302 289 <span class="c"># Create a new matrix...</span> | |
| 303 290 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 304 291 | |
| 305 292 <span class="i">$NumOfRows</span> = <span class="i">@</span>{<span class="i">$DiagonalValuesRef</span>}<span class="sc">;</span> | |
| 306 293 <span class="i">$NumOfCols</span> = <span class="i">$NumOfRows</span><span class="sc">;</span> | |
| 307 294 | |
| 308 295 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 309 296 | |
| 310 297 <span class="c"># Set diagonal values...</span> | |
| 311 298 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 312 299 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$RowIndex</span>] = <span class="i">$DiagonalValuesRef</span>->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
| 313 300 <span class="s">}</span> | |
| 314 301 | |
| 315 302 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 316 303 <span class="s">}</span> | |
| 317 304 | |
| 318 305 <span class="c"># Create a new matrix using rows or columns specified in one of the following formats:</span> | |
| 319 306 <span class="c"># o List of vector objects</span> | |
| 320 307 <span class="c"># o References to list of values</span> | |
| 321 308 <span class="c"># o List of strings containing row values delimited by space</span> | |
| 322 309 <span class="c">#</span> | |
| 323 310 <span class="c"># Each row or column must contain the same number of values.</span> | |
| 324 311 <span class="c">#</span> | |
| 325 <a name="_NewFromRowsOrColumns-"></a> 312 <span class="k">sub </span><span class="m">_NewFromRowsOrColumns</span> <span class="s">{</span> | |
| 326 313 <span class="k">my</span><span class="s">(</span><span class="i">$Mode</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 327 314 | |
| 328 315 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> !~ <span class="q">/^(FromRows|FromColumns)$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 329 316 <span class="w">croak</span> <span class="q">"Error: ${ClassName}::_NewFromRowsOrColumns: Unknown mode: $Mode..."</span><span class="sc">;</span> | |
| 330 317 <span class="s">}</span> | |
| 331 318 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="s">)</span><span class="sc">;</span> | |
| 332 319 | |
| 333 320 <span class="c"># Retrieve information about specified values and make sure similar number of values</span> | |
| 334 321 <span class="c"># are specified for each row or column...</span> | |
| 335 322 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^FromRows$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 336 323 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}::_NewFromRows"</span><span class="sc">;</span> | |
| 337 324 <span class="s">}</span> | |
| 338 325 <span class="k">else</span> <span class="s">{</span> | |
| 339 326 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}::_NewFromColumns"</span><span class="sc">;</span> | |
| 340 327 <span class="s">}</span> | |
| 341 328 <span class="i">$CheckSizes</span> = <span class="n">1</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">0</span><span class="sc">;</span> | |
| 342 329 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
| 343 330 | |
| 344 331 <span class="c"># Create a new matrix...</span> | |
| 345 332 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$RowMode</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
| 346 333 | |
| 347 334 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^FromRows$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 348 335 <span class="i">$NumOfRows</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ValuesRefs</span>}<span class="sc">;</span> | |
| 349 336 <span class="i">$NumOfCols</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ValuesRefs</span>->[<span class="n">0</span>]}<span class="sc">;</span> | |
| 350 337 <span class="i">$RowMode</span> = <span class="n">1</span><span class="sc">;</span> | |
| 351 338 <span class="s">}</span> | |
| 352 339 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^FromColumns$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 353 340 <span class="i">$NumOfRows</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ValuesRefs</span>->[<span class="n">0</span>]}<span class="sc">;</span> | |
| 354 341 <span class="i">$NumOfCols</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ValuesRefs</span>}<span class="sc">;</span> | |
| 355 342 <span class="i">$RowMode</span> = <span class="n">0</span><span class="sc">;</span> | |
| 356 343 <span class="s">}</span> | |
| 357 344 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 358 345 | |
| 359 346 <span class="c"># Setup matrix values...</span> | |
| 360 347 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 361 348 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 362 349 <span class="i">$Value</span> = <span class="i">$RowMode</span> ? <span class="i">$ValuesRefs</span>->[<span class="i">$RowIndex</span>]->[<span class="i">$ColIndex</span>]<span class="co">:</span> <span class="i">$ValuesRefs</span>->[<span class="i">$ColIndex</span>]->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
| 363 350 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$Value</span><span class="sc">;</span> | |
| 364 351 <span class="s">}</span> | |
| 365 352 <span class="s">}</span> | |
| 366 353 | |
| 367 354 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 368 355 <span class="s">}</span> | |
| 369 356 | |
| 370 357 <span class="c"># Process specified matrix values in any of the following supported formats:</span> | |
| 371 358 <span class="c">#</span> | |
| 372 359 <span class="c"># o List of vector objects</span> | |
| 373 360 <span class="c"># o References to list of values</span> | |
| 374 361 <span class="c"># o List of strings containing row values delimited by space</span> | |
| 375 362 <span class="c">#</span> | |
| 376 363 <span class="c"># And return a reference to an array containing references to arrays with specified values.</span> | |
| 377 364 <span class="c">#</span> | |
| 378 365 <span class="c"># Value of CombineValuesStatus determines whether all the values specified are combined</span> | |
| 379 366 <span class="c"># into one array and return its reference as the only entry in the array being returned.</span> | |
| 380 367 <span class="c">#</span> | |
| 381 <a name="_ProcessSpecifiedMatrixValues-"></a> 368 <span class="k">sub </span><span class="m">_ProcessSpecifiedMatrixValues</span> <span class="s">{</span> | |
| 382 369 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizesStatus</span><span class="cm">,</span> <span class="i">$CombineValuesStatus</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 383 370 <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="cm">,</span> <span class="i">$TypeOfValue</span><span class="cm">,</span> <span class="i">@ValuesRefs</span><span class="s">)</span><span class="sc">;</span> | |
| 384 371 | |
| 385 372 <span class="i">@ValuesRefs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 386 373 <span class="k">if</span> <span class="s">(</span>!<span class="i">@SpecifiedValues</span><span class="s">)</span> <span class="s">{</span> | |
| 387 374 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: No values specified..."</span><span class="sc">;</span> | |
| 388 375 <span class="s">}</span> | |
| 389 376 | |
| 390 377 <span class="c"># Collect values...</span> | |
| 391 378 <span class="k">for</span> <span class="i">$Value</span> <span class="s">(</span><span class="i">@SpecifiedValues</span><span class="s">)</span> <span class="s">{</span> | |
| 392 379 <span class="i">$TypeOfValue</span> = <span class="k">ref</span> <span class="i">$Value</span><span class="sc">;</span> | |
| 393 380 | |
| 394 381 <span class="k">if</span> <span class="s">(</span><span class="i">Vector::IsVector</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 395 382 <span class="c"># Feference to vector object...</span> | |
| 396 383 <span class="k">my</span><span class="s">(</span><span class="i">$ValuesRef</span><span class="s">)</span><span class="sc">;</span> | |
| 397 384 <span class="i">$ValuesRef</span> = <span class="i">$Value</span><span class="i">->GetValues</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 398 385 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$ValuesRef</span>}<span class="s">)</span> <span class="s">{</span> | |
| 399 386 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Specified vector object must contain some values..."</span><span class="sc">;</span> | |
| 400 387 <span class="s">}</span> | |
| 401 388 <span class="k">push</span> <span class="i">@ValuesRefs</span><span class="cm">,</span> <span class="i">$ValuesRef</span><span class="sc">;</span> | |
| 402 389 <span class="s">}</span> | |
| 403 390 <span class="k">elsif</span> <span class="s">(</span><span class="i">$TypeOfValue</span> =~ <span class="q">/^ARRAY/</span><span class="s">)</span> <span class="s">{</span> | |
| 404 391 <span class="c"># Refernece to an array...</span> | |
| 405 392 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$Value</span>}<span class="s">)</span> <span class="s">{</span> | |
| 406 393 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Specified array reference must contain some values..."</span><span class="sc">;</span> | |
| 407 394 <span class="s">}</span> | |
| 408 395 <span class="k">push</span> <span class="i">@ValuesRefs</span><span class="cm">,</span> <span class="i">$Value</span><span class="sc">;</span> | |
| 409 396 <span class="s">}</span> | |
| 410 397 <span class="k">elsif</span> <span class="s">(</span><span class="i">$TypeOfValue</span> <span class="k">eq</span> <span class="q">''</span><span class="s">)</span> <span class="s">{</span> | |
| 411 398 <span class="c"># String value...</span> | |
| 412 399 <span class="k">my</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 413 400 <span class="i">@Values</span> = <span class="k">split</span><span class="s">(</span><span class="q">' '</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
| 414 401 <span class="k">if</span> <span class="s">(</span>!<span class="i">@Values</span><span class="s">)</span> <span class="s">{</span> | |
| 415 402 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Specified string must contain some values..."</span><span class="sc">;</span> | |
| 416 403 <span class="s">}</span> | |
| 417 404 <span class="k">push</span> <span class="i">@ValuesRefs</span><span class="cm">,</span> \<span class="i">@Values</span><span class="sc">;</span> | |
| 418 405 <span class="s">}</span> | |
| 419 406 <span class="k">else</span> <span class="s">{</span> | |
| 420 407 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Value format, $TypeOfValue, of a specified value to be added to matrix object is not supported..."</span><span class="sc">;</span> | |
| 421 408 <span class="s">}</span> | |
| 422 409 <span class="s">}</span> | |
| 423 410 | |
| 424 411 <span class="c"># Combine all specified values into one array...</span> | |
| 425 412 <span class="k">if</span> <span class="s">(</span><span class="i">$CombineValuesStatus</span><span class="s">)</span> <span class="s">{</span> | |
| 426 413 <span class="k">my</span><span class="s">(</span><span class="i">$ValuesRef</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 427 414 | |
| 428 415 <span class="i">@Values</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 429 416 <span class="k">for</span> <span class="i">$ValuesRef</span> <span class="s">(</span><span class="i">@ValuesRefs</span><span class="s">)</span> <span class="s">{</span> | |
| 430 417 <span class="k">push</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$ValuesRef</span>}<span class="sc">;</span> | |
| 431 418 <span class="s">}</span> | |
| 432 419 <span class="i">@ValuesRefs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 433 420 <span class="k">push</span> <span class="i">@ValuesRefs</span><span class="cm">,</span> \<span class="i">@Values</span><span class="sc">;</span> | |
| 434 421 <span class="s">}</span> | |
| 435 422 | |
| 436 423 <span class="c"># Make sure reference to all specified value arrays contain the same number of values...</span> | |
| 437 424 <span class="k">if</span> <span class="s">(</span><span class="i">$CheckSizesStatus</span><span class="s">)</span> <span class="s">{</span> | |
| 438 425 <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$FirstValueSize</span><span class="s">)</span><span class="sc">;</span> | |
| 439 426 <span class="i">$FirstValueSize</span> = <span class="i">$#</span>{<span class="i">$ValuesRefs</span>[<span class="n">0</span>]}<span class="sc">;</span> | |
| 440 427 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">1</span> .. <span class="i">$#ValuesRefs</span><span class="s">)</span> <span class="s">{</span> | |
| 441 428 <span class="k">if</span> <span class="s">(</span><span class="i">$FirstValueSize</span> != <span class="i">$#</span>{<span class="i">$ValuesRefs</span>[<span class="i">$Index</span>]}<span class="s">)</span> <span class="s">{</span> | |
| 442 429 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of values in each specified value type to be added to matrix object must be same..."</span><span class="sc">;</span> | |
| 443 430 <span class="s">}</span> | |
| 444 431 <span class="s">}</span> | |
| 445 432 <span class="s">}</span> | |
| 446 433 | |
| 447 434 <span class="k">return</span> \<span class="i">@ValuesRefs</span><span class="sc">;</span> | |
| 448 435 <span class="s">}</span> | |
| 449 436 | |
| 450 437 <span class="c"># Create a new zero matrix of specified size or default size of 3 x 3.</span> | |
| 451 438 <span class="c">#</span> | |
| 452 439 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
| 453 440 <span class="c"># object method.</span> | |
| 454 441 <span class="c">#</span> | |
| 455 <a name="ZeroMatrix-"></a> 442 <span class="k">sub </span><span class="m">ZeroMatrix (;$$$)</span> <span class="s">{</span> | |
| 456 443 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 457 444 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$Matrix</span><span class="s">)</span><span class="sc">;</span> | |
| 458 445 | |
| 459 446 <span class="i">$This</span> = <span class="k">undef</span><span class="sc">;</span> | |
| 460 447 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span> && <span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 461 448 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 462 449 <span class="s">}</span> | |
| 463 450 <span class="k">else</span> <span class="s">{</span> | |
| 464 451 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="k">undef</span><span class="cm">,</span> <span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 465 452 <span class="s">}</span> | |
| 466 453 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span> && <span class="k">defined</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="s">)</span> ? <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> <span class="co">:</span> <span class="s">(</span><span class="n">3</span><span class="cm">,</span> <span class="n">3</span><span class="s">)</span><span class="sc">;</span> | |
| 467 454 | |
| 468 455 <span class="c"># Set up a new zero matrix</span> | |
| 469 456 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 470 457 | |
| 471 458 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 472 459 <span class="s">}</span> | |
| 473 460 | |
| 474 461 <span class="c"># Create a new unit matrix of specified size or default size of 3 x 3.</span> | |
| 475 462 <span class="c">#</span> | |
| 476 463 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
| 477 464 <span class="c"># object method.</span> | |
| 478 465 <span class="c">#</span> | |
| 479 <a name="UnitMatrix-"></a> 466 <span class="k">sub </span><span class="m">UnitMatrix (;$$$)</span> <span class="s">{</span> | |
| 480 467 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 481 468 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 482 469 | |
| 483 470 <span class="i">$This</span> = <span class="k">undef</span><span class="sc">;</span> | |
| 484 471 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span> && <span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 485 472 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 486 473 <span class="s">}</span> | |
| 487 474 <span class="k">else</span> <span class="s">{</span> | |
| 488 475 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="k">undef</span><span class="cm">,</span> <span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 489 476 <span class="s">}</span> | |
| 490 477 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span> && <span class="k">defined</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="s">)</span> ? <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> <span class="co">:</span> <span class="s">(</span><span class="n">3</span><span class="cm">,</span> <span class="n">3</span><span class="s">)</span><span class="sc">;</span> | |
| 491 478 | |
| 492 479 <span class="c"># Set up a new zero matrix</span> | |
| 493 480 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 494 481 | |
| 495 482 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfRows</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
| 496 483 <span class="w">carp</span> <span class="q">"Warning: ${ClassName}::UnitMatrix: Specified matrix, $NumOfRows x $NumOfCols, is not a square matrix..."</span><span class="sc">;</span> | |
| 497 484 <span class="s">}</span> | |
| 498 485 | |
| 499 486 <span class="c"># Initialize diagonal elements to 1...</span> | |
| 500 487 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 501 488 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$RowIndex</span>] = <span class="n">1.0</span><span class="sc">;</span> | |
| 502 489 <span class="s">}</span> | |
| 503 490 | |
| 504 491 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 505 492 <span class="s">}</span> | |
| 506 493 | |
| 507 494 <span class="c"># Identity matrix of specified size or size 3 x 3...</span> | |
| 508 495 <span class="c">#</span> | |
| 509 <a name="IdentityMatrix-"></a> 496 <span class="k">sub </span><span class="m">IdentityMatrix (;$$$)</span> <span class="s">{</span> | |
| 510 497 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 511 498 | |
| 512 499 <span class="k">return</span> <span class="i">UnitMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 513 500 <span class="s">}</span> | |
| 514 501 | |
| 515 502 <span class="c"># Set all matrix values to 0s...</span> | |
| 516 503 <span class="c">#</span> | |
| 517 <a name="Zero-"></a> 504 <span class="k">sub </span><span class="m">Zero</span> <span class="s">{</span> | |
| 518 505 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 519 506 | |
| 520 507 <span class="k">return</span> <span class="i">$This</span><span class="i">->SetAllValues</span><span class="s">(</span><span class="n">0.0</span><span class="s">)</span><span class="sc">;</span> | |
| 521 508 <span class="s">}</span> | |
| 522 509 | |
| 523 510 <span class="c"># Set all matrix values to 1s...</span> | |
| 524 511 <span class="c">#</span> | |
| 525 <a name="One-"></a> 512 <span class="k">sub </span><span class="m">One</span> <span class="s">{</span> | |
| 526 513 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 527 514 | |
| 528 515 <span class="k">return</span> <span class="i">$This</span><span class="i">->SetAllValues</span><span class="s">(</span><span class="n">1.0</span><span class="s">)</span><span class="sc">;</span> | |
| 529 516 <span class="s">}</span> | |
| 530 517 | |
| 531 518 <span class="c"># Get a matrix value with row and column indicies starting from 0...</span> | |
| 532 519 <span class="c">#</span> | |
| 533 <a name="GetValue-"></a> 520 <span class="k">sub </span><span class="m">GetValue</span> <span class="s">{</span> | |
| 534 521 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$SkipIndexCheck</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 535 522 | |
| 536 523 <span class="k">if</span> <span class="s">(</span><span class="i">$SkipIndexCheck</span><span class="s">)</span> <span class="s">{</span> | |
| 537 524 <span class="i">$This</span><span class="i">->_GetValue</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 538 525 <span class="s">}</span> | |
| 539 526 | |
| 540 527 <span class="i">$This</span><span class="i">->_ValidateRowAndColumnIndicies</span><span class="s">(</span><span class="q">"Error: ${ClassName}::GetValue"</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 541 528 | |
| 542 529 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetValue</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 543 530 <span class="s">}</span> | |
| 544 531 | |
| 545 532 <span class="c"># Get a matrix value...</span> | |
| 546 533 <span class="c">#</span> | |
| 547 <a name="_GetValue-"></a> 534 <span class="k">sub </span><span class="m">_GetValue</span> <span class="s">{</span> | |
| 548 535 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 549 536 | |
| 550 537 <span class="k">return</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 551 538 <span class="s">}</span> | |
| 552 539 | |
| 553 540 <span class="c"># Set a matrix value with row and column indicies starting from 0...</span> | |
| 554 541 <span class="c">#</span> | |
| 555 <a name="SetValue-"></a> 542 <span class="k">sub </span><span class="m">SetValue</span> <span class="s">{</span> | |
| 556 543 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="cm">,</span> <span class="i">$SkipIndexCheck</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 557 544 | |
| 558 545 <span class="k">if</span> <span class="s">(</span><span class="i">$SkipIndexCheck</span><span class="s">)</span> <span class="s">{</span> | |
| 559 546 <span class="i">$This</span><span class="i">->_SetValue</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
| 560 547 <span class="s">}</span> | |
| 561 548 | |
| 562 549 <span class="i">$This</span><span class="i">->_ValidateRowAndColumnIndicies</span><span class="s">(</span><span class="q">"Error: ${ClassName}::SetValue"</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 563 550 | |
| 564 551 <span class="k">return</span> <span class="i">$This</span><span class="i">->_SetValue</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
| 565 552 <span class="s">}</span> | |
| 566 553 | |
| 567 554 <span class="c"># Set a matrix value...</span> | |
| 568 555 <span class="c">#</span> | |
| 569 <a name="_SetValue-"></a> 556 <span class="k">sub </span><span class="m">_SetValue</span> <span class="s">{</span> | |
| 570 557 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 571 558 | |
| 572 559 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$Value</span><span class="sc">;</span> | |
| 573 560 | |
| 574 561 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 575 562 <span class="s">}</span> | |
| 576 563 | |
| 577 564 <span class="c"># Set all matrix values to a specified value...</span> | |
| 578 565 <span class="c">#</span> | |
| 579 <a name="SetAllValues-"></a> 566 <span class="k">sub </span><span class="m">SetAllValues</span> <span class="s">{</span> | |
| 580 567 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 581 568 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 582 569 | |
| 583 570 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 584 571 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 585 572 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 586 573 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$Value</span><span class="sc">;</span> | |
| 587 574 <span class="s">}</span> | |
| 588 575 <span class="s">}</span> | |
| 589 576 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 590 577 <span class="s">}</span> | |
| 591 578 | |
| 592 579 <span class="c"># Set values of a row in a matrix value with row index starting from 0...</span> | |
| 593 580 <span class="c">#</span> | |
| 594 <a name="SetRowValues-"></a> 581 <span class="k">sub </span><span class="m">SetRowValues</span> <span class="s">{</span> | |
| 595 582 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 596 583 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="cm">,</span> <span class="i">$RowValuesRef</span><span class="cm">,</span> <span class="i">$NumOfRowValues</span><span class="s">)</span><span class="sc">;</span> | |
| 597 584 | |
| 598 585 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->SetRowValues"</span><span class="sc">;</span> | |
| 599 586 | |
| 600 587 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 601 588 <span class="i">$This</span><span class="i">->_ValidateRowIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 602 589 | |
| 603 590 <span class="c"># Collect specified row values...</span> | |
| 604 591 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">1</span><span class="sc">;</span> | |
| 605 592 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
| 606 593 <span class="i">$RowValuesRef</span> = <span class="i">$ValuesRefs</span>->[<span class="n">0</span>]<span class="sc">;</span> | |
| 607 594 | |
| 608 595 <span class="c"># Check number of specified row values...</span> | |
| 609 596 <span class="i">$NumOfRowValues</span> = <span class="i">@</span>{<span class="i">$RowValuesRef</span>}<span class="sc">;</span> | |
| 610 597 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfRowValues</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
| 611 598 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of specified row values, $NumOfRowValues, must be equal to number of row values, $NumOfCols, in matrix..."</span><span class="sc">;</span> | |
| 612 599 <span class="s">}</span> | |
| 613 600 | |
| 614 601 <span class="c"># Set row values...</span> | |
| 615 602 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRowValues</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 616 603 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$RowValuesRef</span>->[<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 617 604 <span class="s">}</span> | |
| 618 605 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 619 606 <span class="s">}</span> | |
| 620 607 | |
| 621 608 <span class="c"># Add new row values to a matrix...</span> | |
| 622 609 <span class="c">#</span> | |
| 623 <a name="AddRowValues-"></a> 610 <span class="k">sub </span><span class="m">AddRowValues</span> <span class="s">{</span> | |
| 624 611 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 625 612 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$RowValueRef</span><span class="cm">,</span> <span class="i">$RowValuesRefs</span><span class="cm">,</span> <span class="i">$NumOfNewRows</span><span class="cm">,</span> <span class="i">$NumOfNewCols</span><span class="s">)</span><span class="sc">;</span> | |
| 626 613 | |
| 627 614 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->AddRowValues"</span><span class="sc">;</span> | |
| 628 615 | |
| 629 616 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 630 617 | |
| 631 618 <span class="c"># Collect specified row values...</span> | |
| 632 619 <span class="i">$CheckSizes</span> = <span class="n">1</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">0</span><span class="sc">;</span> | |
| 633 620 <span class="i">$RowValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
| 634 621 | |
| 635 622 <span class="c"># Check number of specified row values...</span> | |
| 636 623 <span class="i">$NumOfNewRows</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$RowValuesRefs</span>}<span class="sc">;</span> | |
| 637 624 <span class="i">$NumOfNewCols</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$RowValuesRefs</span>->[<span class="n">0</span>]}<span class="sc">;</span> | |
| 638 625 | |
| 639 626 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfNewCols</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
| 640 627 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of values in each specified row, $NumOfNewCols, must be equal to number of row values, $NumOfCols, in matrix..."</span><span class="sc">;</span> | |
| 641 628 <span class="s">}</span> | |
| 642 629 | |
| 643 630 <span class="c"># Add each row to the matrix...</span> | |
| 644 631 <span class="i">$RowIndex</span> = <span class="i">$NumOfRows</span> - <span class="n">1</span><span class="sc">;</span> | |
| 645 632 <span class="k">for</span> <span class="i">$RowValueRef</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$RowValuesRefs</span>}<span class="s">)</span> <span class="s">{</span> | |
| 646 633 <span class="i">$RowIndex</span>++<span class="sc">;</span> | |
| 647 634 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>]} = <span class="i">@</span>{<span class="i">$RowValueRef</span>}<span class="sc">;</span> | |
| 648 635 <span class="s">}</span> | |
| 649 636 | |
| 650 637 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 651 638 <span class="s">}</span> | |
| 652 639 | |
| 653 640 <span class="c"># Get values of a row in matrix as an array. In scalar context, number of row</span> | |
| 654 641 <span class="c"># values is returned...</span> | |
| 655 642 <span class="c">#</span> | |
| 656 <a name="GetRowValues-"></a> 643 <span class="k">sub </span><span class="m">GetRowValues</span> <span class="s">{</span> | |
| 657 644 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 658 645 | |
| 659 646 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsArray'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 660 647 <span class="s">}</span> | |
| 661 648 | |
| 662 649 <span class="c"># Get values of a row in matrix as a vector object...</span> | |
| 663 650 <span class="c">#</span> | |
| 664 <a name="GetRowValuesAsVector-"></a> 651 <span class="k">sub </span><span class="m">GetRowValuesAsVector</span> <span class="s">{</span> | |
| 665 652 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 666 653 | |
| 667 654 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsVector'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 668 655 <span class="s">}</span> | |
| 669 656 | |
| 670 657 <span class="c"># Get values of a row as row matrix object...</span> | |
| 671 658 <span class="c">#</span> | |
| 672 <a name="GetRowValuesAsRowMatrix-"></a> 659 <span class="k">sub </span><span class="m">GetRowValuesAsRowMatrix</span> <span class="s">{</span> | |
| 673 660 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 674 661 | |
| 675 662 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsRowMatrix'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 676 663 <span class="s">}</span> | |
| 677 664 | |
| 678 665 <span class="c"># Get values of a row as column matrix object...</span> | |
| 679 666 <span class="c">#</span> | |
| 680 <a name="GetRowValuesAsColumnMatrix-"></a> 667 <span class="k">sub </span><span class="m">GetRowValuesAsColumnMatrix</span> <span class="s">{</span> | |
| 681 668 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 682 669 | |
| 683 670 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsColumnMatrix'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 684 671 <span class="s">}</span> | |
| 685 672 | |
| 686 673 <span class="c"># Get values of a row in matrix as a space delimited string...</span> | |
| 687 674 <span class="c">#</span> | |
| 688 <a name="GetRowValuesAsString-"></a> 675 <span class="k">sub </span><span class="m">GetRowValuesAsString</span> <span class="s">{</span> | |
| 689 676 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 690 677 | |
| 691 678 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsString'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 692 679 <span class="s">}</span> | |
| 693 680 | |
| 694 681 <span class="c"># Set values of a column in a matrix value with row index starting from 0...</span> | |
| 695 682 <span class="c">#</span> | |
| 696 <a name="SetColumnValues-"></a> 683 <span class="k">sub </span><span class="m">SetColumnValues</span> <span class="s">{</span> | |
| 697 684 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 698 685 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="cm">,</span> <span class="i">$ColValuesRef</span><span class="cm">,</span> <span class="i">$NumOfColValues</span><span class="s">)</span><span class="sc">;</span> | |
| 699 686 | |
| 700 687 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->SetColumnValues"</span><span class="sc">;</span> | |
| 701 688 | |
| 702 689 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 703 690 <span class="i">$This</span><span class="i">->_ValidateColumnIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 704 691 | |
| 705 692 <span class="c"># Collect specified row values...</span> | |
| 706 693 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">1</span><span class="sc">;</span> | |
| 707 694 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
| 708 695 <span class="i">$ColValuesRef</span> = <span class="i">$ValuesRefs</span>->[<span class="n">0</span>]<span class="sc">;</span> | |
| 709 696 | |
| 710 697 <span class="c"># Check number of specified col values...</span> | |
| 711 698 <span class="i">$NumOfColValues</span> = <span class="i">@</span>{<span class="i">$ColValuesRef</span>}<span class="sc">;</span> | |
| 712 699 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfColValues</span> != <span class="i">$NumOfRows</span><span class="s">)</span> <span class="s">{</span> | |
| 713 700 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of specified col values, $NumOfColValues, must be equal to number of column values, $NumOfRows, in matrix..."</span><span class="sc">;</span> | |
| 714 701 <span class="s">}</span> | |
| 715 702 | |
| 716 703 <span class="c"># Set col values...</span> | |
| 717 704 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfColValues</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 718 705 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$ColValuesRef</span>->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
| 719 706 <span class="s">}</span> | |
| 720 707 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 721 708 <span class="s">}</span> | |
| 722 709 | |
| 723 710 <span class="c"># Add new column values to a matrix...</span> | |
| 724 711 <span class="c">#</span> | |
| 725 <a name="AddColumnValues-"></a> 712 <span class="k">sub </span><span class="m">AddColumnValues</span> <span class="s">{</span> | |
| 726 713 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 727 714 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ColValueRef</span><span class="cm">,</span> <span class="i">$ColValuesRefs</span><span class="cm">,</span> <span class="i">$NumOfNewRows</span><span class="cm">,</span> <span class="i">$NumOfNewCols</span><span class="s">)</span><span class="sc">;</span> | |
| 728 715 | |
| 729 716 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->AddColumnValues"</span><span class="sc">;</span> | |
| 730 717 | |
| 731 718 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 732 719 | |
| 733 720 <span class="c"># Collect specified column values...</span> | |
| 734 721 <span class="i">$CheckSizes</span> = <span class="n">1</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">0</span><span class="sc">;</span> | |
| 735 722 <span class="i">$ColValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
| 736 723 | |
| 737 724 <span class="c"># Check number of specified column values...</span> | |
| 738 725 <span class="i">$NumOfNewCols</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ColValuesRefs</span>}<span class="sc">;</span> | |
| 739 726 <span class="i">$NumOfNewRows</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ColValuesRefs</span>->[<span class="n">0</span>]}<span class="sc">;</span> | |
| 740 727 | |
| 741 728 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfNewRows</span> != <span class="i">$NumOfRows</span><span class="s">)</span> <span class="s">{</span> | |
| 742 729 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of values in each specified column, $NumOfNewRows, must be equal to number of column values, $NumOfRows, in matrix..."</span><span class="sc">;</span> | |
| 743 730 <span class="s">}</span> | |
| 744 731 | |
| 745 732 <span class="c"># Add each column to the matrix...</span> | |
| 746 733 <span class="i">$ColIndex</span> = <span class="i">$NumOfCols</span> - <span class="n">1</span><span class="sc">;</span> | |
| 747 734 <span class="k">for</span> <span class="i">$ColValueRef</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$ColValuesRefs</span>}<span class="s">)</span> <span class="s">{</span> | |
| 748 735 <span class="i">$ColIndex</span>++<span class="sc">;</span> | |
| 749 736 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 750 737 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$ColValueRef</span>->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
| 751 738 <span class="s">}</span> | |
| 752 739 <span class="s">}</span> | |
| 753 740 | |
| 754 741 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 755 742 <span class="s">}</span> | |
| 756 743 | |
| 757 744 <span class="c"># Get values of a column in matrix as an array. In scalar context, number of column</span> | |
| 758 745 <span class="c"># values is returned...</span> | |
| 759 746 <span class="c">#</span> | |
| 760 <a name="GetColumnValues-"></a> 747 <span class="k">sub </span><span class="m">GetColumnValues</span> <span class="s">{</span> | |
| 761 748 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 762 749 | |
| 763 750 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsArray'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 764 751 <span class="s">}</span> | |
| 765 752 | |
| 766 753 <span class="c"># Get values of a column in matrix as a vector object...</span> | |
| 767 754 <span class="c">#</span> | |
| 768 <a name="GetColumnValuesAsVector-"></a> 755 <span class="k">sub </span><span class="m">GetColumnValuesAsVector</span> <span class="s">{</span> | |
| 769 756 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 770 757 | |
| 771 758 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsVector'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 772 759 <span class="s">}</span> | |
| 773 760 | |
| 774 761 <span class="c"># Get values of a column as row matrix object...</span> | |
| 775 762 <span class="c">#</span> | |
| 776 <a name="GetColumnValuesAsRowMatrix-"></a> 763 <span class="k">sub </span><span class="m">GetColumnValuesAsRowMatrix</span> <span class="s">{</span> | |
| 777 764 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 778 765 | |
| 779 766 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsRowMatrix'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 780 767 <span class="s">}</span> | |
| 781 768 | |
| 782 769 <span class="c"># Get values of a column as column matrix object...</span> | |
| 783 770 <span class="c">#</span> | |
| 784 <a name="GetColumnValuesAsColumnMatrix-"></a> 771 <span class="k">sub </span><span class="m">GetColumnValuesAsColumnMatrix</span> <span class="s">{</span> | |
| 785 772 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 786 773 | |
| 787 774 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsColumnMatrix'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 788 775 <span class="s">}</span> | |
| 789 776 | |
| 790 777 <span class="c"># Get values of a column in matrix as a space delimited string...</span> | |
| 791 778 <span class="c">#</span> | |
| 792 <a name="GetColumnValuesAsString-"></a> 779 <span class="k">sub </span><span class="m">GetColumnValuesAsString</span> <span class="s">{</span> | |
| 793 780 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 794 781 | |
| 795 782 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsString'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 796 783 <span class="s">}</span> | |
| 797 784 | |
| 798 785 <span class="c"># Get row or column values...</span> | |
| 799 786 <span class="c">#</span> | |
| 800 <a name="_GetRowOrColumnValues-"></a> 787 <span class="k">sub </span><span class="m">_GetRowOrColumnValues</span> <span class="s">{</span> | |
| 801 788 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="cm">,</span> <span class="i">$ValueMode</span><span class="cm">,</span> <span class="i">$ValueModeIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 802 789 | |
| 803 790 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> !~ <span class="q">/^(AsArray|AsVector|AsRowMatrix|AsColumnMatrix|AsString)$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 804 791 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_GetRowOrColumnValues: Unknown mode, $Mode, specified..."</span><span class="sc">;</span> | |
| 805 792 <span class="s">}</span> | |
| 806 793 <span class="k">if</span> <span class="s">(</span><span class="i">$ValueMode</span> !~ <span class="q">/^(FromRow|FromColumn)$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 807 794 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_GetRowOrColumnValues: Unknown value mode, $ValueMode, specified..."</span><span class="sc">;</span> | |
| 808 795 <span class="s">}</span> | |
| 809 796 | |
| 810 797 <span class="c"># Setup error message prefix...</span> | |
| 811 798 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="s">)</span><span class="sc">;</span> | |
| 812 799 | |
| 813 800 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"${ClassName}->_GetRowOrColumnValues"</span><span class="sc">;</span> | |
| 814 801 <span class="k">if</span> <span class="s">(</span><span class="i">$ValueMode</span> =~ <span class="q">/^FromRow$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 815 802 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->GetRowValues${Mode}"</span><span class="sc">;</span> | |
| 816 803 <span class="s">}</span> | |
| 817 804 <span class="k">elsif</span> <span class="s">(</span><span class="i">$ValueMode</span> =~ <span class="q">/^FromColumn$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 818 805 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->GetColumnValues${Mode}"</span><span class="sc">;</span> | |
| 819 806 <span class="s">}</span> | |
| 820 807 | |
| 821 808 <span class="c"># Validate specified index and collect values...</span> | |
| 822 809 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 823 810 | |
| 824 811 <span class="i">@Values</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 825 812 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 826 813 | |
| 827 814 <span class="k">if</span> <span class="s">(</span><span class="i">$ValueMode</span> =~ <span class="q">/^FromRow$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 828 815 <span class="i">$RowIndex</span> = <span class="i">$ValueModeIndex</span><span class="sc">;</span> | |
| 829 816 <span class="i">$This</span><span class="i">->_ValidateRowIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 830 817 | |
| 831 818 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 832 819 <span class="k">push</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 833 820 <span class="s">}</span> | |
| 834 821 <span class="s">}</span> | |
| 835 822 <span class="k">elsif</span> <span class="s">(</span><span class="i">$ValueMode</span> =~ <span class="q">/^FromColumn$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 836 823 <span class="i">$ColIndex</span> = <span class="i">$ValueModeIndex</span><span class="sc">;</span> | |
| 837 824 <span class="i">$This</span><span class="i">->_ValidateColumnIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 838 825 | |
| 839 826 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 840 827 <span class="k">push</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 841 828 <span class="s">}</span> | |
| 842 829 <span class="s">}</span> | |
| 843 830 | |
| 844 831 <span class="c"># Return values...</span> | |
| 845 832 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsRowMatrix$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 846 833 <span class="k">return</span> <span class="i">NewFromRows</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 847 834 <span class="s">}</span> | |
| 848 835 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsColumnMatrix$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 849 836 <span class="k">return</span> <span class="i">NewFromColumns</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 850 837 <span class="s">}</span> | |
| 851 838 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsVector$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 852 839 <span class="k">return</span> <span class="i">new</span> <span class="i">Vector</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 853 840 <span class="s">}</span> | |
| 854 841 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsString$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 855 842 <span class="k">return</span> <span class="k">join</span><span class="s">(</span><span class="q">' '</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 856 843 <span class="s">}</span> | |
| 857 844 <span class="k">else</span> <span class="s">{</span> | |
| 858 845 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@Values</span> <span class="co">:</span> <span class="k">scalar</span> <span class="i">@Values</span><span class="sc">;</span> | |
| 859 846 <span class="s">}</span> | |
| 860 847 <span class="s">}</span> | |
| 861 848 | |
| 862 849 <span class="c"># Set values of the diagonal in a square matrix...</span> | |
| 863 850 <span class="c">#</span> | |
| 864 <a name="SetDiagonalValues-"></a> 851 <span class="k">sub </span><span class="m">SetDiagonalValues</span> <span class="s">{</span> | |
| 865 852 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 866 853 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="cm">,</span> <span class="i">$NumOfDiagonalValues</span><span class="cm">,</span> <span class="i">$DiagonalValuesRef</span><span class="s">)</span><span class="sc">;</span> | |
| 867 854 | |
| 868 855 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->SetDiagonalValues"</span><span class="sc">;</span> | |
| 869 856 <span class="k">if</span> <span class="s">(</span>!<span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span> <span class="s">{</span> | |
| 870 857 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: No diagonal values specified..."</span><span class="sc">;</span> | |
| 871 858 <span class="s">}</span> | |
| 872 859 | |
| 873 860 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 874 861 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfRows</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
| 875 862 <span class="w">croak</span> <span class="q">"Error: $ErrorMsgPrefix: Specified matrix, $NumOfRows x $NumOfCols, is not a square matrix..."</span><span class="sc">;</span> | |
| 876 863 <span class="s">}</span> | |
| 877 864 | |
| 878 865 <span class="c"># Collect specified diagonal values...</span> | |
| 879 866 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">1</span><span class="sc">;</span> | |
| 880 867 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span><span class="sc">;</span> | |
| 881 868 <span class="i">$DiagonalValuesRef</span> = <span class="i">$ValuesRefs</span>->[<span class="n">0</span>]<span class="sc">;</span> | |
| 882 869 <span class="i">$NumOfDiagonalValues</span> = <span class="i">@</span>{<span class="i">$DiagonalValuesRef</span>}<span class="sc">;</span> | |
| 883 870 | |
| 884 871 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfDiagonalValues</span> != <span class="i">$NumOfRows</span><span class="s">)</span> <span class="s">{</span> | |
| 885 872 <span class="w">croak</span> <span class="q">"Error: $ErrorMsgPrefix: Number of specified diagonal values, $NumOfDiagonalValues, must be equal to number of rows, $NumOfRows, in square matrix..."</span><span class="sc">;</span> | |
| 886 873 <span class="s">}</span> | |
| 887 874 | |
| 888 875 <span class="c"># Set diagonal values...</span> | |
| 889 876 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 890 877 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$RowIndex</span>] = <span class="i">$DiagonalValuesRef</span>->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
| 891 878 <span class="s">}</span> | |
| 892 879 | |
| 893 880 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 894 881 <span class="s">}</span> | |
| 895 882 | |
| 896 883 <span class="c"># Get values of the diagonal in a square matrix as an array. In scalar context, number of</span> | |
| 897 884 <span class="c"># diagonal values is returned...</span> | |
| 898 885 <span class="c">#</span> | |
| 899 <a name="GetDiagonalValues-"></a> 886 <span class="k">sub </span><span class="m">GetDiagonalValues</span> <span class="s">{</span> | |
| 900 887 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 901 888 | |
| 902 889 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsArray'</span><span class="s">)</span><span class="sc">;</span> | |
| 903 890 <span class="s">}</span> | |
| 904 891 | |
| 905 892 <span class="c"># Get values of the diagonal in a square matrix as vector object...</span> | |
| 906 893 <span class="c">#</span> | |
| 907 <a name="GetDiagonalValuesAsVector-"></a> 894 <span class="k">sub </span><span class="m">GetDiagonalValuesAsVector</span> <span class="s">{</span> | |
| 908 895 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 909 896 | |
| 910 897 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsVector'</span><span class="s">)</span><span class="sc">;</span> | |
| 911 898 <span class="s">}</span> | |
| 912 899 | |
| 913 900 <span class="c"># Get values of the diagonal in a square matrix as row matrix object</span> | |
| 914 901 <span class="c">#</span> | |
| 915 <a name="GetDiagonalValuesAsRowMatrix-"></a> 902 <span class="k">sub </span><span class="m">GetDiagonalValuesAsRowMatrix</span> <span class="s">{</span> | |
| 916 903 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 917 904 | |
| 918 905 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsRowMatrix'</span><span class="s">)</span><span class="sc">;</span> | |
| 919 906 <span class="s">}</span> | |
| 920 907 | |
| 921 908 <span class="c"># Get values of the diagonal in a square matrix as column matrix object</span> | |
| 922 909 <span class="c">#</span> | |
| 923 <a name="GetDiagonalValuesAsColumnMatrix-"></a> 910 <span class="k">sub </span><span class="m">GetDiagonalValuesAsColumnMatrix</span> <span class="s">{</span> | |
| 924 911 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 925 912 | |
| 926 913 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsColumnMatrix'</span><span class="s">)</span><span class="sc">;</span> | |
| 927 914 <span class="s">}</span> | |
| 928 915 | |
| 929 916 <span class="c"># Get values of the diagonal in a square matrix as a space delimited string...</span> | |
| 930 917 <span class="c">#</span> | |
| 931 <a name="GetDiagonalValuesAsString-"></a> 918 <span class="k">sub </span><span class="m">GetDiagonalValuesAsString</span> <span class="s">{</span> | |
| 932 919 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 933 920 | |
| 934 921 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsString'</span><span class="s">)</span><span class="sc">;</span> | |
| 935 922 <span class="s">}</span> | |
| 936 923 | |
| 937 924 <span class="c"># Get diagonal values...</span> | |
| 938 <a name="_GetDiagonalValues-"></a> 925 <span class="k">sub </span><span class="m">_GetDiagonalValues</span> <span class="s">{</span> | |
| 939 926 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 940 927 | |
| 941 928 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> !~ <span class="q">/^(AsArray|AsVector|AsRowMatrix|AsColumnMatrix|AsString)$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 942 929 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_GetDiagonalValues: Unknown mode, $Mode, specified..."</span><span class="sc">;</span> | |
| 943 930 <span class="s">}</span> | |
| 944 931 | |
| 945 932 <span class="c"># Make sure it's a square matrix...</span> | |
| 946 933 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="s">)</span><span class="sc">;</span> | |
| 947 934 | |
| 948 935 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"${ClassName}->_GetDiagonalValues${Mode}"</span><span class="sc">;</span> | |
| 949 936 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 950 937 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfRows</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
| 951 938 <span class="w">croak</span> <span class="q">"Error: $ErrorMsgPrefix: Specified matrix, $NumOfRows x $NumOfCols, is not a square matrix..."</span><span class="sc">;</span> | |
| 952 939 <span class="s">}</span> | |
| 953 940 | |
| 954 941 <span class="c"># Collect values...</span> | |
| 955 942 <span class="k">my</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 956 943 <span class="i">@Values</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 957 944 | |
| 958 945 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 959 946 <span class="k">push</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
| 960 947 <span class="s">}</span> | |
| 961 948 | |
| 962 949 <span class="c"># Return values...</span> | |
| 963 950 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsRowMatrix$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 964 951 <span class="k">return</span> <span class="i">NewFromRows</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 965 952 <span class="s">}</span> | |
| 966 953 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsColumnMatrix$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 967 954 <span class="k">return</span> <span class="i">NewFromColumns</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 968 955 <span class="s">}</span> | |
| 969 956 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsVector$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 970 957 <span class="k">return</span> <span class="i">new</span> <span class="i">Vector</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 971 958 <span class="s">}</span> | |
| 972 959 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsString$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 973 960 <span class="k">return</span> <span class="k">join</span><span class="s">(</span><span class="q">' '</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
| 974 961 <span class="s">}</span> | |
| 975 962 <span class="k">else</span> <span class="s">{</span> | |
| 976 963 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@Values</span> <span class="co">:</span> <span class="k">scalar</span> <span class="i">@Values</span><span class="sc">;</span> | |
| 977 964 <span class="s">}</span> | |
| 978 965 <span class="s">}</span> | |
| 979 966 | |
| 980 967 <span class="c"># Is it a square matrix?</span> | |
| 981 968 <span class="c">#</span> | |
| 982 <a name="IsSquare-"></a> 969 <span class="k">sub </span><span class="m">IsSquare</span> <span class="s">{</span> | |
| 983 970 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 984 971 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 985 972 | |
| 986 973 <span class="k">return</span> <span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$NumOfCols</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
| 987 974 <span class="s">}</span> | |
| 988 975 | |
| 989 976 <span class="c"># Is it a unit matrix?</span> | |
| 990 977 <span class="c">#</span> | |
| 991 978 <span class="c"># A matrix is a unit matrix:</span> | |
| 992 979 <span class="c"># o It's a square matrix</span> | |
| 993 980 <span class="c"># o All its diagonal elements are ones and its off-diagonal elements are zeros</span> | |
| 994 981 <span class="c">#</span> | |
| 995 <a name="IsUnit-"></a> 982 <span class="k">sub </span><span class="m">IsUnit</span> <span class="s">{</span> | |
| 996 983 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 997 984 | |
| 998 985 <span class="c"># Is is a square matrix?</span> | |
| 999 986 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1000 987 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1001 988 <span class="s">}</span> | |
| 1002 989 | |
| 1003 990 <span class="c"># Check matrix values...</span> | |
| 1004 991 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$ExpectedValue</span><span class="s">)</span><span class="sc">;</span> | |
| 1005 992 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1006 993 | |
| 1007 994 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1008 995 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1009 996 <span class="i">$ExpectedValue</span> = <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> ? <span class="n">1.0</span> <span class="co">:</span> <span class="n">0.0</span><span class="sc">;</span> | |
| 1010 997 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$ExpectedValue</span><span class="s">)</span> <span class="s">{</span> | |
| 1011 998 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1012 999 <span class="s">}</span> | |
| 1013 1000 <span class="s">}</span> | |
| 1014 1001 <span class="s">}</span> | |
| 1015 1002 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1016 1003 <span class="s">}</span> | |
| 1017 1004 | |
| 1018 1005 <span class="c"># Is it an identity matrix?</span> | |
| 1019 1006 <span class="c">#</span> | |
| 1020 <a name="IsIdentity-"></a>1007 <span class="k">sub </span><span class="m">IsIdentity</span> <span class="s">{</span> | |
| 1021 1008 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1022 1009 | |
| 1023 1010 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsUnit</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1024 1011 <span class="s">}</span> | |
| 1025 1012 | |
| 1026 1013 <span class="c"># Is it a diagonal matrix?</span> | |
| 1027 1014 <span class="c">#</span> | |
| 1028 1015 <span class="c"># A matrix is a diagonal matrix:</span> | |
| 1029 1016 <span class="c"># o It's a square matrix</span> | |
| 1030 1017 <span class="c"># o All its off-diagonal elements are zeros and its diagonal elements may or may not</span> | |
| 1031 1018 <span class="c"># be zeros</span> | |
| 1032 1019 <span class="c">#</span> | |
| 1033 1020 <span class="c">#</span> | |
| 1034 <a name="IsDiagonal-"></a>1021 <span class="k">sub </span><span class="m">IsDiagonal</span> <span class="s">{</span> | |
| 1035 1022 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1036 1023 | |
| 1037 1024 <span class="c"># Is is a square matrix?</span> | |
| 1038 1025 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1039 1026 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1040 1027 <span class="s">}</span> | |
| 1041 1028 | |
| 1042 1029 <span class="c"># Check off-diagonal matrix values...</span> | |
| 1043 1030 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1044 1031 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1045 1032 | |
| 1046 1033 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1047 1034 <span class="j">COLINDEX:</span> <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1048 1035 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1049 1036 <span class="k">next</span> <span class="j">COLINDEX</span><span class="sc">;</span> | |
| 1050 1037 <span class="s">}</span> | |
| 1051 1038 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1052 1039 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1053 1040 <span class="s">}</span> | |
| 1054 1041 <span class="s">}</span> | |
| 1055 1042 <span class="s">}</span> | |
| 1056 1043 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1057 1044 <span class="s">}</span> | |
| 1058 1045 | |
| 1059 1046 <span class="c"># Is it a lower bidiagonal matrix?</span> | |
| 1060 1047 <span class="c">#</span> | |
| 1061 1048 <span class="c"># A matrix is a lower bidiagonal matrix:</span> | |
| 1062 1049 <span class="c"># o It's a square matrix</span> | |
| 1063 1050 <span class="c"># o All its main diagonal and lower diagonal elements are non-zeros and all its</span> | |
| 1064 1051 <span class="c"># other elements are zeros</span> | |
| 1065 1052 <span class="c">#</span> | |
| 1066 <a name="IsLowerBiDiagonal-"></a>1053 <span class="k">sub </span><span class="m">IsLowerBiDiagonal</span> <span class="s">{</span> | |
| 1067 1054 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1068 1055 | |
| 1069 1056 <span class="c"># Is is a square matrix?</span> | |
| 1070 1057 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1071 1058 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1072 1059 <span class="s">}</span> | |
| 1073 1060 | |
| 1074 1061 <span class="c"># Check matrix values...</span> | |
| 1075 1062 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
| 1076 1063 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1077 1064 | |
| 1078 1065 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1079 1066 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1080 1067 <span class="i">$Value</span> = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 1081 1068 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1082 1069 <span class="c"># Main diagonal...</span> | |
| 1083 1070 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1084 1071 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1085 1072 <span class="s">}</span> | |
| 1086 1073 <span class="s">}</span> | |
| 1087 1074 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="s">(</span><span class="i">$ColIndex</span> + <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1088 1075 <span class="c"># Lower diagonal...</span> | |
| 1089 1076 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1090 1077 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1091 1078 <span class="s">}</span> | |
| 1092 1079 <span class="s">}</span> | |
| 1093 1080 <span class="k">else</span> <span class="s">{</span> | |
| 1094 1081 <span class="c"># Other elements...</span> | |
| 1095 1082 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1096 1083 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1097 1084 <span class="s">}</span> | |
| 1098 1085 <span class="s">}</span> | |
| 1099 1086 <span class="s">}</span> | |
| 1100 1087 <span class="s">}</span> | |
| 1101 1088 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1102 1089 <span class="s">}</span> | |
| 1103 1090 | |
| 1104 1091 <span class="c"># Is it an upper bidiagonal matrix?</span> | |
| 1105 1092 <span class="c">#</span> | |
| 1106 1093 <span class="c"># A matrix is an upper bidiagonal matrix:</span> | |
| 1107 1094 <span class="c"># o It's a square matrix</span> | |
| 1108 1095 <span class="c"># o All its main diagonal and upper diagonal elements are non-zeros and all its</span> | |
| 1109 1096 <span class="c"># other elements are zeros</span> | |
| 1110 1097 <span class="c">#</span> | |
| 1111 <a name="IsUpperBiDiagonal-"></a>1098 <span class="k">sub </span><span class="m">IsUpperBiDiagonal</span> <span class="s">{</span> | |
| 1112 1099 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1113 1100 | |
| 1114 1101 <span class="c"># Is is a square matrix?</span> | |
| 1115 1102 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1116 1103 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1117 1104 <span class="s">}</span> | |
| 1118 1105 <span class="c"># Check matrix values...</span> | |
| 1119 1106 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
| 1120 1107 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1121 1108 | |
| 1122 1109 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1123 1110 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1124 1111 <span class="i">$Value</span> = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 1125 1112 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1126 1113 <span class="c"># Main diagonal...</span> | |
| 1127 1114 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1128 1115 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1129 1116 <span class="s">}</span> | |
| 1130 1117 <span class="s">}</span> | |
| 1131 1118 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="s">(</span><span class="i">$ColIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1132 1119 <span class="c"># Upper diagonal...</span> | |
| 1133 1120 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1134 1121 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1135 1122 <span class="s">}</span> | |
| 1136 1123 <span class="s">}</span> | |
| 1137 1124 <span class="k">else</span> <span class="s">{</span> | |
| 1138 1125 <span class="c"># Other elements...</span> | |
| 1139 1126 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1140 1127 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1141 1128 <span class="s">}</span> | |
| 1142 1129 <span class="s">}</span> | |
| 1143 1130 <span class="s">}</span> | |
| 1144 1131 <span class="s">}</span> | |
| 1145 1132 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1146 1133 <span class="s">}</span> | |
| 1147 1134 | |
| 1148 1135 <span class="c"># Is it a bidiagonal matrix?</span> | |
| 1149 1136 <span class="c">#</span> | |
| 1150 1137 <span class="c"># A matrix is a bidiagonal matrix:</span> | |
| 1151 1138 <span class="c">#</span> | |
| 1152 <a name="IsBiDiagonal-"></a>1139 <span class="k">sub </span><span class="m">IsBiDiagonal</span> <span class="s">{</span> | |
| 1153 1140 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1154 1141 | |
| 1155 1142 <span class="k">return</span> <span class="s">(</span><span class="i">$This</span><span class="i">->IsUpperBiDiagonal</span><span class="s">(</span><span class="s">)</span> || <span class="i">$This</span><span class="i">->IsLowerBiDiagonal</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
| 1156 1143 <span class="s">}</span> | |
| 1157 1144 | |
| 1158 1145 <span class="c"># Is it a tridiagonal matrix?</span> | |
| 1159 1146 <span class="c">#</span> | |
| 1160 1147 <span class="c"># A matrix is a tribidiagonal matrix:</span> | |
| 1161 1148 <span class="c"># o It's a square matrix</span> | |
| 1162 1149 <span class="c"># o All its main diagonal, upper diagonal, and lower diagonal elements are non-zeros and all its</span> | |
| 1163 1150 <span class="c"># other elements are zeros</span> | |
| 1164 1151 <span class="c">#</span> | |
| 1165 1152 <span class="c">#</span> | |
| 1166 <a name="IsTriDiagonal-"></a>1153 <span class="k">sub </span><span class="m">IsTriDiagonal</span> <span class="s">{</span> | |
| 1167 1154 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1168 1155 | |
| 1169 1156 <span class="c"># Is is a square matrix?</span> | |
| 1170 1157 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1171 1158 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1172 1159 <span class="s">}</span> | |
| 1173 1160 | |
| 1174 1161 <span class="c"># Check matrix values...</span> | |
| 1175 1162 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
| 1176 1163 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1177 1164 | |
| 1178 1165 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1179 1166 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1180 1167 <span class="i">$Value</span> = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 1181 1168 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1182 1169 <span class="c"># Main diagonal...</span> | |
| 1183 1170 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1184 1171 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1185 1172 <span class="s">}</span> | |
| 1186 1173 <span class="s">}</span> | |
| 1187 1174 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="s">(</span><span class="i">$ColIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1188 1175 <span class="c"># Upper diagonal...</span> | |
| 1189 1176 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1190 1177 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1191 1178 <span class="s">}</span> | |
| 1192 1179 <span class="s">}</span> | |
| 1193 1180 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="s">(</span><span class="i">$ColIndex</span> + <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1194 1181 <span class="c"># Lower diagonal...</span> | |
| 1195 1182 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1196 1183 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1197 1184 <span class="s">}</span> | |
| 1198 1185 <span class="s">}</span> | |
| 1199 1186 <span class="k">else</span> <span class="s">{</span> | |
| 1200 1187 <span class="c"># Other elements...</span> | |
| 1201 1188 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1202 1189 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1203 1190 <span class="s">}</span> | |
| 1204 1191 <span class="s">}</span> | |
| 1205 1192 <span class="s">}</span> | |
| 1206 1193 <span class="s">}</span> | |
| 1207 1194 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1208 1195 <span class="s">}</span> | |
| 1209 1196 | |
| 1210 1197 <span class="c"># Is it a lower triangular matrix?</span> | |
| 1211 1198 <span class="c">#</span> | |
| 1212 1199 <span class="c"># A matrix is a lower triangular matrix:</span> | |
| 1213 1200 <span class="c"># o It's a square matrix</span> | |
| 1214 1201 <span class="c"># o All its entries above the main diagonal are zero</span> | |
| 1215 1202 <span class="c">#</span> | |
| 1216 <a name="IsLowerTriangular-"></a>1203 <span class="k">sub </span><span class="m">IsLowerTriangular</span> <span class="s">{</span> | |
| 1217 1204 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1218 1205 | |
| 1219 1206 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsLowerTriangularMatrix</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1220 1207 <span class="s">}</span> | |
| 1221 1208 | |
| 1222 1209 <span class="c"># Is it a left triangular matrix?</span> | |
| 1223 1210 <span class="c">#</span> | |
| 1224 1211 <span class="c"># A matrix is a left triangular matrix:</span> | |
| 1225 1212 <span class="c"># o It's a square matrix</span> | |
| 1226 1213 <span class="c"># o All its entries above the main diagonal are zero</span> | |
| 1227 1214 <span class="c">#</span> | |
| 1228 <a name="IsLeftTriangular-"></a>1215 <span class="k">sub </span><span class="m">IsLeftTriangular</span> <span class="s">{</span> | |
| 1229 1216 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1230 1217 | |
| 1231 1218 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsLowerTriangular</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1232 1219 <span class="s">}</span> | |
| 1233 1220 | |
| 1234 1221 <span class="c"># Is it a strictly lower triangular matrix?</span> | |
| 1235 1222 <span class="c">#</span> | |
| 1236 1223 <span class="c"># A matrix is a strictly lower triangular matrix:</span> | |
| 1237 1224 <span class="c"># o It's a square matrix</span> | |
| 1238 1225 <span class="c"># o All its entries on and above the main diagonal are zero</span> | |
| 1239 1226 <span class="c">#</span> | |
| 1240 <a name="IsStrictlyLowerTriangular-"></a>1227 <span class="k">sub </span><span class="m">IsStrictlyLowerTriangular</span> <span class="s">{</span> | |
| 1241 1228 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1242 1229 <span class="k">my</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
| 1243 1230 | |
| 1244 1231 <span class="i">$DiagonalValue</span> = <span class="n">0</span><span class="sc">;</span> | |
| 1245 1232 | |
| 1246 1233 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsLowerTriangularMatrix</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
| 1247 1234 <span class="s">}</span> | |
| 1248 1235 | |
| 1249 1236 <span class="c"># Is it an unit lower triangular matrix?</span> | |
| 1250 1237 <span class="c">#</span> | |
| 1251 1238 <span class="c"># A matrix is an unit lower triangular matrix:</span> | |
| 1252 1239 <span class="c"># o It's a square matrix</span> | |
| 1253 1240 <span class="c"># o All its entries main diagonal are one</span> | |
| 1254 1241 <span class="c"># o All its entries above the main diagonal are zero</span> | |
| 1255 1242 <span class="c">#</span> | |
| 1256 <a name="IsUnitLowerTriangular-"></a>1243 <span class="k">sub </span><span class="m">IsUnitLowerTriangular</span> <span class="s">{</span> | |
| 1257 1244 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1258 1245 <span class="k">my</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
| 1259 1246 | |
| 1260 1247 <span class="i">$DiagonalValue</span> = <span class="n">1</span><span class="sc">;</span> | |
| 1261 1248 | |
| 1262 1249 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsLowerTriangularMatrix</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
| 1263 1250 <span class="s">}</span> | |
| 1264 1251 | |
| 1265 1252 <span class="c"># Is it a lower unitriangular matrix?</span> | |
| 1266 1253 <span class="c">#</span> | |
| 1267 <a name="IsLowerUniTriangular-"></a>1254 <span class="k">sub </span><span class="m">IsLowerUniTriangular</span> <span class="s">{</span> | |
| 1268 1255 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1269 1256 | |
| 1270 1257 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsUnitLowerTriangular</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1271 1258 <span class="s">}</span> | |
| 1272 1259 | |
| 1273 1260 <span class="c"># Is it a lower triangular, strictly lower triangular, or unit lower triangular matrix?</span> | |
| 1274 1261 <span class="c">#</span> | |
| 1275 <a name="_IsLowerTriangularMatrix-"></a>1262 <span class="k">sub </span><span class="m">_IsLowerTriangularMatrix</span> <span class="s">{</span> | |
| 1276 1263 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$DiagonalValue</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1277 1264 | |
| 1278 1265 <span class="c"># Is is a square matrix?</span> | |
| 1279 1266 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1280 1267 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1281 1268 <span class="s">}</span> | |
| 1282 1269 <span class="c"># Check matrix values...</span> | |
| 1283 1270 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$CheckDiagonalValues</span><span class="s">)</span><span class="sc">;</span> | |
| 1284 1271 | |
| 1285 1272 <span class="i">$CheckDiagonalValues</span> = <span class="k">defined</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
| 1286 1273 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1287 1274 | |
| 1288 1275 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1289 1276 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1290 1277 <span class="k">if</span> <span class="s">(</span><span class="i">$CheckDiagonalValues</span> && <span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1291 1278 <span class="c"># Main diagonal...</span> | |
| 1292 1279 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$DiagonalValue</span><span class="s">)</span> <span class="s">{</span> | |
| 1293 1280 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1294 1281 <span class="s">}</span> | |
| 1295 1282 <span class="s">}</span> | |
| 1296 1283 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> < <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1297 1284 <span class="c"># Elemens above the main diagonal...</span> | |
| 1298 1285 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1299 1286 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1300 1287 <span class="s">}</span> | |
| 1301 1288 <span class="s">}</span> | |
| 1302 1289 <span class="s">}</span> | |
| 1303 1290 <span class="s">}</span> | |
| 1304 1291 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1305 1292 <span class="s">}</span> | |
| 1306 1293 | |
| 1307 1294 <span class="c"># Is it an upper triangular matrix?</span> | |
| 1308 1295 <span class="c">#</span> | |
| 1309 1296 <span class="c"># A matrix is an upper triangular matrix:</span> | |
| 1310 1297 <span class="c"># o It's a square matrix</span> | |
| 1311 1298 <span class="c"># o All its entries below the main diagonal are zero</span> | |
| 1312 1299 <span class="c">#</span> | |
| 1313 <a name="IsUpperTriangular-"></a>1300 <span class="k">sub </span><span class="m">IsUpperTriangular</span> <span class="s">{</span> | |
| 1314 1301 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1315 1302 | |
| 1316 1303 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsUpperTriangularMatrix</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1317 1304 <span class="s">}</span> | |
| 1318 1305 | |
| 1319 1306 <span class="c"># Is it a right triangular matrix?</span> | |
| 1320 1307 <span class="c">#</span> | |
| 1321 1308 <span class="c"># A matrix is a right triangular matrix:</span> | |
| 1322 1309 <span class="c"># o It's a square matrix</span> | |
| 1323 1310 <span class="c"># o All its entries below the main diagonal are zero</span> | |
| 1324 1311 <span class="c">#</span> | |
| 1325 <a name="IsRightTriangular-"></a>1312 <span class="k">sub </span><span class="m">IsRightTriangular</span> <span class="s">{</span> | |
| 1326 1313 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1327 1314 | |
| 1328 1315 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsUpperTriangular</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1329 1316 <span class="s">}</span> | |
| 1330 1317 | |
| 1331 1318 <span class="c"># Is it a strictly upper triangular matrix?</span> | |
| 1332 1319 <span class="c">#</span> | |
| 1333 1320 <span class="c"># A matrix is a strictly upper triangular matrix:</span> | |
| 1334 1321 <span class="c"># o It's a square matrix</span> | |
| 1335 1322 <span class="c"># o All its entries on and below the main diagonal are zero</span> | |
| 1336 1323 <span class="c">#</span> | |
| 1337 <a name="IsStrictlyUpperTriangular-"></a>1324 <span class="k">sub </span><span class="m">IsStrictlyUpperTriangular</span> <span class="s">{</span> | |
| 1338 1325 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1339 1326 <span class="k">my</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
| 1340 1327 | |
| 1341 1328 <span class="i">$DiagonalValue</span> = <span class="n">0</span><span class="sc">;</span> | |
| 1342 1329 | |
| 1343 1330 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsUpperTriangularMatrix</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
| 1344 1331 <span class="s">}</span> | |
| 1345 1332 | |
| 1346 1333 <span class="c"># Is it a unit upper triangular matrix?</span> | |
| 1347 1334 <span class="c">#</span> | |
| 1348 1335 <span class="c"># A matrix is an unit upper triangular matrix:</span> | |
| 1349 1336 <span class="c"># o It's a square matrix</span> | |
| 1350 1337 <span class="c"># o All its entries main diagonal are one</span> | |
| 1351 1338 <span class="c"># o All its entries below the main diagonal are zero</span> | |
| 1352 1339 <span class="c">#</span> | |
| 1353 <a name="IsUnitUpperTriangular-"></a>1340 <span class="k">sub </span><span class="m">IsUnitUpperTriangular</span> <span class="s">{</span> | |
| 1354 1341 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1355 1342 <span class="k">my</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
| 1356 1343 | |
| 1357 1344 <span class="i">$DiagonalValue</span> = <span class="n">1</span><span class="sc">;</span> | |
| 1358 1345 | |
| 1359 1346 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsUpperTriangularMatrix</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
| 1360 1347 <span class="s">}</span> | |
| 1361 1348 | |
| 1362 1349 <span class="c"># Is it a upper unitriangular matrix?</span> | |
| 1363 1350 <span class="c">#</span> | |
| 1364 <a name="IsUpperUniTriangular-"></a>1351 <span class="k">sub </span><span class="m">IsUpperUniTriangular</span> <span class="s">{</span> | |
| 1365 1352 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1366 1353 | |
| 1367 1354 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsUnitUpperTriangular</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1368 1355 <span class="s">}</span> | |
| 1369 1356 | |
| 1370 1357 <span class="c"># Is it an upper triangular, strictly upper triangular, or unit upper triangular matrix?</span> | |
| 1371 1358 <span class="c">#</span> | |
| 1372 <a name="_IsUpperTriangularMatrix-"></a>1359 <span class="k">sub </span><span class="m">_IsUpperTriangularMatrix</span> <span class="s">{</span> | |
| 1373 1360 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$DiagonalValue</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1374 1361 | |
| 1375 1362 <span class="c"># Is is a square matrix?</span> | |
| 1376 1363 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1377 1364 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1378 1365 <span class="s">}</span> | |
| 1379 1366 <span class="c"># Check matrix values...</span> | |
| 1380 1367 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$CheckDiagonalValues</span><span class="s">)</span><span class="sc">;</span> | |
| 1381 1368 | |
| 1382 1369 <span class="i">$CheckDiagonalValues</span> = <span class="k">defined</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
| 1383 1370 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1384 1371 | |
| 1385 1372 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1386 1373 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1387 1374 <span class="k">if</span> <span class="s">(</span><span class="i">$CheckDiagonalValues</span> && <span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1388 1375 <span class="c"># Main diagonal...</span> | |
| 1389 1376 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$DiagonalValue</span><span class="s">)</span> <span class="s">{</span> | |
| 1390 1377 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1391 1378 <span class="s">}</span> | |
| 1392 1379 <span class="s">}</span> | |
| 1393 1380 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> > <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1394 1381 <span class="c"># Elemens below the main diagonal...</span> | |
| 1395 1382 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1396 1383 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1397 1384 <span class="s">}</span> | |
| 1398 1385 <span class="s">}</span> | |
| 1399 1386 <span class="s">}</span> | |
| 1400 1387 <span class="s">}</span> | |
| 1401 1388 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1402 1389 <span class="s">}</span> | |
| 1403 1390 | |
| 1404 1391 <span class="c"># Is it a symmetrix matrix?</span> | |
| 1405 1392 <span class="c">#</span> | |
| 1406 1393 <span class="c"># A matrix is a symmetric matrix:</span> | |
| 1407 1394 <span class="c"># o It's a square matrix</span> | |
| 1408 1395 <span class="c"># o Its elements are symmetric with respect to main diagonal. In other words,</span> | |
| 1409 1396 <span class="c"># elements below the main diagonal are equal to the elements above the main</span> | |
| 1410 1397 <span class="c"># diagonal.</span> | |
| 1411 1398 <span class="c">#</span> | |
| 1412 1399 <span class="c"># Transpose of a symmetric matrix equals the matrix itself.</span> | |
| 1413 1400 <span class="c">#</span> | |
| 1414 <a name="IsSymmetric-"></a>1401 <span class="k">sub </span><span class="m">IsSymmetric</span> <span class="s">{</span> | |
| 1415 1402 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1416 1403 | |
| 1417 1404 <span class="c"># Is is a square matrix?</span> | |
| 1418 1405 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1419 1406 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1420 1407 <span class="s">}</span> | |
| 1421 1408 | |
| 1422 1409 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1423 1410 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1424 1411 | |
| 1425 1412 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1426 1413 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$RowIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1427 1414 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$ColIndex</span>][<span class="i">$RowIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
| 1428 1415 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1429 1416 <span class="s">}</span> | |
| 1430 1417 <span class="s">}</span> | |
| 1431 1418 <span class="s">}</span> | |
| 1432 1419 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1433 1420 <span class="s">}</span> | |
| 1434 1421 | |
| 1435 1422 <span class="c"># Is it a anti symmetrix matrix?</span> | |
| 1436 1423 <span class="c">#</span> | |
| 1437 1424 <span class="c"># A matrix is an anti symmetric matrix:</span> | |
| 1438 1425 <span class="c"># o It's a square matrix</span> | |
| 1439 1426 <span class="c"># o Its elements are asymmetric with respect to main diagonal. In other words,</span> | |
| 1440 1427 <span class="c"># elements below the main diagonal are equal to the negative of elements above</span> | |
| 1441 1428 <span class="c"># the main diagonal.</span> | |
| 1442 1429 <span class="c">#</span> | |
| 1443 1430 <span class="c"># Transpose of a anti symmetric matrix equals the negative of the matrix.</span> | |
| 1444 1431 <span class="c">#</span> | |
| 1445 <a name="IsAntiSymmetric-"></a>1432 <span class="k">sub </span><span class="m">IsAntiSymmetric</span> <span class="s">{</span> | |
| 1446 1433 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1447 1434 | |
| 1448 1435 <span class="c"># Is is a square matrix?</span> | |
| 1449 1436 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1450 1437 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1451 1438 <span class="s">}</span> | |
| 1452 1439 | |
| 1453 1440 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1454 1441 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1455 1442 | |
| 1456 1443 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1457 1444 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$RowIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1458 1445 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != -<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$ColIndex</span>][<span class="i">$RowIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
| 1459 1446 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1460 1447 <span class="s">}</span> | |
| 1461 1448 <span class="s">}</span> | |
| 1462 1449 <span class="s">}</span> | |
| 1463 1450 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1464 1451 <span class="s">}</span> | |
| 1465 1452 | |
| 1466 1453 <span class="c"># Is it a skew symmetrix matrix?</span> | |
| 1467 1454 <span class="c">#</span> | |
| 1468 1455 <span class="c"># It's another name for AnitSymmetricMatrix.</span> | |
| 1469 1456 <span class="c">#</span> | |
| 1470 <a name="IsSkewSymmetric-"></a>1457 <span class="k">sub </span><span class="m">IsSkewSymmetric</span> <span class="s">{</span> | |
| 1471 1458 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1472 1459 | |
| 1473 1460 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsAntiSymmetric</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1474 1461 <span class="s">}</span> | |
| 1475 1462 | |
| 1476 1463 <span class="c"># Is it a positive matrix with all its values >= zero?</span> | |
| 1477 1464 <span class="c">#</span> | |
| 1478 <a name="IsPositive-"></a>1465 <span class="k">sub </span><span class="m">IsPositive</span> <span class="s">{</span> | |
| 1479 1466 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1480 1467 | |
| 1481 1468 <span class="c"># Check matrix values...</span> | |
| 1482 1469 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1483 1470 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1484 1471 | |
| 1485 1472 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1486 1473 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1487 1474 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] < <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1488 1475 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1489 1476 <span class="s">}</span> | |
| 1490 1477 <span class="s">}</span> | |
| 1491 1478 <span class="s">}</span> | |
| 1492 1479 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1493 1480 <span class="s">}</span> | |
| 1494 1481 | |
| 1495 1482 <span class="c"># Is it a positive matrix with all its values <= zero?</span> | |
| 1496 1483 <span class="c">#</span> | |
| 1497 <a name="IsNegative-"></a>1484 <span class="k">sub </span><span class="m">IsNegative</span> <span class="s">{</span> | |
| 1498 1485 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1499 1486 | |
| 1500 1487 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsPositive</span><span class="s">(</span><span class="s">)</span> ? <span class="n">0</span> <span class="co">:</span> <span class="n">1</span><span class="sc">;</span> | |
| 1501 1488 <span class="s">}</span> | |
| 1502 1489 | |
| 1503 1490 <span class="c"># Transpose the matrix by swaping rows with columns...</span> | |
| 1504 1491 <span class="c">#</span> | |
| 1505 <a name="Transpose-"></a>1492 <span class="k">sub </span><span class="m">Transpose</span> <span class="s">{</span> | |
| 1506 1493 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1507 1494 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1508 1495 | |
| 1509 1496 <span class="c"># Create the transpose matrix of size $NumOfCols x $NumOfRows</span> | |
| 1510 1497 <span class="c">#</span> | |
| 1511 1498 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1512 1499 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="s">)</span><span class="sc">;</span> | |
| 1513 1500 | |
| 1514 1501 <span class="c"># Swap rows and columns...</span> | |
| 1515 1502 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1516 1503 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1517 1504 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$ColIndex</span>][<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
| 1518 1505 <span class="s">}</span> | |
| 1519 1506 <span class="s">}</span> | |
| 1520 1507 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 1521 1508 <span class="s">}</span> | |
| 1522 1509 | |
| 1523 1510 <span class="c"># Is it a matrix object?</span> | |
| 1524 <a name="IsMatrix-"></a>1511 <span class="k">sub </span><span class="m">IsMatrix ($)</span> <span class="s">{</span> | |
| 1525 1512 <span class="k">my</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1526 1513 | |
| 1527 1514 <span class="k">return</span> <span class="i">_IsMatrix</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span><span class="sc">;</span> | |
| 1528 1515 <span class="s">}</span> | |
| 1529 1516 | |
| 1530 1517 <span class="c"># Set value print format for an individual object or the whole class during StringifyMatrix operation...</span> | |
| 1531 <a name="SetValuePrintFormat-"></a>1518 <span class="k">sub </span><span class="m">SetValuePrintFormat ($;$)</span> <span class="s">{</span> | |
| 1532 1519 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1533 1520 | |
| 1534 1521 <span class="k">if</span> <span class="s">(</span><span class="s">(</span><span class="i">@_</span> == <span class="n">2</span><span class="s">)</span> && <span class="s">(</span><span class="i">_IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1535 1522 <span class="c"># Set value print format for the specific object...</span> | |
| 1536 1523 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ValuePrintFormat</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 1537 1524 | |
| 1538 1525 <span class="i">$This</span>->{<span class="w">ValueFormat</span>} = <span class="i">$ValuePrintFormat</span><span class="sc">;</span> | |
| 1539 1526 <span class="s">}</span> | |
| 1540 1527 <span class="k">else</span> <span class="s">{</span> | |
| 1541 1528 <span class="c"># Set value print format for the class...</span> | |
| 1542 1529 <span class="k">my</span><span class="s">(</span><span class="i">$ValuePrintFormat</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 1543 1530 | |
| 1544 1531 <span class="i">$ValueFormat</span> = <span class="i">$ValuePrintFormat</span><span class="sc">;</span> | |
| 1545 1532 <span class="s">}</span> | |
| 1546 1533 <span class="s">}</span> | |
| 1547 1534 | |
| 1548 1535 <span class="c"># Set print style for matrix rows for an individual object or the whole class during StringifyMatrix</span> | |
| 1549 1536 <span class="c"># operation.</span> | |
| 1550 1537 <span class="c">#</span> | |
| 1551 1538 <span class="c"># Possible values: AllRowsInOneLine, OneRowPerLine. Default: AllRowsInOneLine</span> | |
| 1552 1539 <span class="c">#</span> | |
| 1553 <a name="SetMatrixPrintStyle-"></a>1540 <span class="k">sub </span><span class="m">SetMatrixPrintStyle ($;$)</span> <span class="s">{</span> | |
| 1554 1541 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1555 1542 | |
| 1556 1543 <span class="k">if</span> <span class="s">(</span><span class="s">(</span><span class="i">@_</span> == <span class="n">2</span><span class="s">)</span> && <span class="s">(</span><span class="i">_IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1557 1544 <span class="c"># Set value print format for the specific object...</span> | |
| 1558 1545 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$MatrixPrintStyleValue</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 1559 1546 | |
| 1560 1547 <span class="k">if</span> <span class="s">(</span><span class="i">$MatrixPrintStyleValue</span> !~ <span class="q">/^(AllRowsInOneLine|OneRowPerLine)$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 1561 1548 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetMatrixPrintStyle: Specified MatrixPrintStyle, $MatrixPrintStyleValue, is not valid. Supported values: AllRowsInOneLine, OneRowPerLine..."</span><span class="sc">;</span> | |
| 1562 1549 <span class="s">}</span> | |
| 1563 1550 | |
| 1564 1551 <span class="i">$This</span>->{<span class="w">MatrixPrintStyle</span>} = <span class="i">$MatrixPrintStyleValue</span><span class="sc">;</span> | |
| 1565 1552 <span class="s">}</span> | |
| 1566 1553 <span class="k">else</span> <span class="s">{</span> | |
| 1567 1554 <span class="c"># Set value print format for the class...</span> | |
| 1568 1555 <span class="k">my</span><span class="s">(</span><span class="i">$MatrixPrintStyleValue</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 1569 1556 | |
| 1570 1557 <span class="k">if</span> <span class="s">(</span><span class="i">$MatrixPrintStyleValue</span> !~ <span class="q">/^(AllRowsInOneLine|OneRowPerLine)$/i</span><span class="s">)</span> <span class="s">{</span> | |
| 1571 1558 <span class="w">croak</span> <span class="q">"Error: ${ClassName}::SetMatrixPrintStyle: Specified MatrixPrintStyle, $MatrixPrintStyleValue, is not valid. Supported values: AllRowsInOneLine, OneRowPerLine..."</span><span class="sc">;</span> | |
| 1572 1559 <span class="s">}</span> | |
| 1573 1560 | |
| 1574 1561 <span class="i">$MatrixPrintStyle</span> = <span class="i">$MatrixPrintStyleValue</span><span class="sc">;</span> | |
| 1575 1562 <span class="s">}</span> | |
| 1576 1563 <span class="s">}</span> | |
| 1577 1564 | |
| 1578 1565 <span class="c"># Is it a matrix object?</span> | |
| 1579 1566 <span class="c">#</span> | |
| 1580 <a name="_IsMatrix-"></a>1567 <span class="k">sub </span><span class="m">_IsMatrix</span> <span class="s">{</span> | |
| 1581 1568 <span class="k">my</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1582 1569 | |
| 1583 1570 <span class="k">return</span> <span class="s">(</span><span class="i">Scalar::Util::blessed</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> && <span class="i">$Object</span><span class="i">->isa</span><span class="s">(</span><span class="i">$ClassName</span><span class="s">)</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
| 1584 1571 <span class="s">}</span> | |
| 1585 1572 | |
| 1586 1573 <span class="c"># Make sure it's a matrix reference...</span> | |
| 1587 1574 <span class="c">#</span> | |
| 1588 <a name="_ValidateMatrix-"></a>1575 <span class="k">sub </span><span class="m">_ValidateMatrix</span> <span class="s">{</span> | |
| 1589 1576 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$Matrix</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1590 1577 | |
| 1591 1578 <span class="k">if</span> <span class="s">(</span>!<span class="i">_IsMatrix</span><span class="s">(</span><span class="i">$Matrix</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1592 1579 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: Object must be a matrix..."</span><span class="sc">;</span> | |
| 1593 1580 <span class="s">}</span> | |
| 1594 1581 <span class="s">}</span> | |
| 1595 1582 | |
| 1596 1583 <span class="c"># Make sure both row and column indicies are valid...</span> | |
| 1597 1584 <span class="c">#</span> | |
| 1598 <a name="_ValidateRowAndColumnIndicies-"></a>1585 <span class="k">sub </span><span class="m">_ValidateRowAndColumnIndicies</span> <span class="s">{</span> | |
| 1599 1586 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColumnIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1600 1587 | |
| 1601 1588 <span class="i">$This</span><span class="i">->_ValidateRowIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1602 1589 <span class="i">$This</span><span class="i">->_ValidateColumnIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$ColumnIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1603 1590 | |
| 1604 1591 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 1605 1592 <span class="s">}</span> | |
| 1606 1593 | |
| 1607 1594 <span class="c"># Make sure it's a valid row index...</span> | |
| 1608 1595 <span class="c">#</span> | |
| 1609 <a name="_ValidateRowIndex-"></a>1596 <span class="k">sub </span><span class="m">_ValidateRowIndex</span> <span class="s">{</span> | |
| 1610 1597 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1611 1598 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span><span class="sc">;</span> | |
| 1612 1599 | |
| 1613 1600 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$RowIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1614 1601 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: RowIndex must be defined..."</span><span class="sc">;</span> | |
| 1615 1602 <span class="s">}</span> | |
| 1616 1603 <span class="i">$NumOfRows</span> = <span class="i">$This</span><span class="i">->GetNumOfRows</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1617 1604 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> < <span class="n">0</span> || <span class="i">$RowIndex</span> >= <span class="i">$NumOfRows</span><span class="s">)</span> <span class="s">{</span> | |
| 1618 1605 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: RowIndex value $RowIndex must be >= 0 and < $NumOfRows, NumOfRows, in matrix..."</span><span class="sc">;</span> | |
| 1619 1606 <span class="s">}</span> | |
| 1620 1607 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 1621 1608 <span class="s">}</span> | |
| 1622 1609 | |
| 1623 1610 <span class="c"># Make sure it's a valid column index...</span> | |
| 1624 1611 <span class="c">#</span> | |
| 1625 <a name="_ValidateColumnIndex-"></a>1612 <span class="k">sub </span><span class="m">_ValidateColumnIndex</span> <span class="s">{</span> | |
| 1626 1613 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 1627 1614 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 1628 1615 | |
| 1629 1616 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
| 1630 1617 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: ColIndex must be defined..."</span><span class="sc">;</span> | |
| 1631 1618 <span class="s">}</span> | |
| 1632 1619 <span class="i">$NumOfCols</span> = <span class="i">$This</span><span class="i">->GetNumOfColumns</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1633 1620 <span class="k">if</span> <span class="s">(</span><span class="i">$ColIndex</span> < <span class="n">0</span> || <span class="i">$ColIndex</span> >= <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
| 1634 1621 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: ColIndex value $ColIndex must be >= 0 and < $NumOfCols, NumOfCols, in matrix..."</span><span class="sc">;</span> | |
| 1635 1622 <span class="s">}</span> | |
| 1636 1623 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
| 1637 1624 <span class="s">}</span> | |
| 1638 1625 | |
| 1639 1626 <span class="c">#</span> | |
| 1640 1627 <span class="c"># Matrix addition operator supports two addition modes:</span> | |
| 1641 1628 <span class="c"># . Addition of two matrices by adding corresponding matrix values</span> | |
| 1642 1629 <span class="c"># . Addition of a scalar value to matrix values ($Matrix + 1)</span> | |
| 1643 1630 <span class="c">#</span> | |
| 1644 1631 <span class="c"># Caveats:</span> | |
| 1645 1632 <span class="c"># . Addition of a matrix to scalar is not allowed (1 + $Matrix)</span> | |
| 1646 1633 <span class="c">#</span> | |
| 1647 <a name="_MatrixAdditionOperator-"></a>1634 <span class="k">sub </span><span class="m">_MatrixAdditionOperator</span> <span class="s">{</span> | |
| 1648 1635 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 1649 1636 | |
| 1650 1637 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixAdditionOperator: Matrix addition failed"</span><span class="sc">;</span> | |
| 1651 1638 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 1652 1639 | |
| 1653 1640 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1654 1641 | |
| 1655 1642 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1656 1643 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 1657 1644 | |
| 1658 1645 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 1659 1646 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 1660 1647 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1661 1648 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1662 1649 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] + <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 1663 1650 <span class="s">}</span> | |
| 1664 1651 <span class="s">}</span> | |
| 1665 1652 <span class="s">}</span> | |
| 1666 1653 <span class="k">else</span> <span class="s">{</span> | |
| 1667 1654 <span class="c"># Scalar addition...</span> | |
| 1668 1655 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 1669 1656 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 1670 1657 <span class="s">}</span> | |
| 1671 1658 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1672 1659 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1673 1660 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] + <span class="i">$Other</span><span class="sc">;</span> | |
| 1674 1661 <span class="s">}</span> | |
| 1675 1662 <span class="s">}</span> | |
| 1676 1663 <span class="s">}</span> | |
| 1677 1664 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 1678 1665 <span class="s">}</span> | |
| 1679 1666 | |
| 1680 1667 <span class="c">#</span> | |
| 1681 1668 <span class="c"># Matrix subtraction operator supports two subtraction modes:</span> | |
| 1682 1669 <span class="c"># . Subtraction of two matrices by subtracting corresponding matrix values</span> | |
| 1683 1670 <span class="c"># . Subtraction of a scalar value from matrix values ($Matrix - 1)</span> | |
| 1684 1671 <span class="c">#</span> | |
| 1685 1672 <span class="c"># Caveats:</span> | |
| 1686 1673 <span class="c"># . Subtraction of a matrix from scalar is not allowed (1 - $Matrix)</span> | |
| 1687 1674 <span class="c">#</span> | |
| 1688 <a name="_MatrixSubtractionOperator-"></a>1675 <span class="k">sub </span><span class="m">_MatrixSubtractionOperator</span> <span class="s">{</span> | |
| 1689 1676 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 1690 1677 | |
| 1691 1678 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixSubtractionOperator: Matrix subtraction failed"</span><span class="sc">;</span> | |
| 1692 1679 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 1693 1680 | |
| 1694 1681 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1695 1682 | |
| 1696 1683 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1697 1684 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 1698 1685 | |
| 1699 1686 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 1700 1687 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 1701 1688 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1702 1689 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1703 1690 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] - <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 1704 1691 <span class="s">}</span> | |
| 1705 1692 <span class="s">}</span> | |
| 1706 1693 <span class="s">}</span> | |
| 1707 1694 <span class="k">else</span> <span class="s">{</span> | |
| 1708 1695 <span class="c"># Scalar subtraction...</span> | |
| 1709 1696 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 1710 1697 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 1711 1698 <span class="s">}</span> | |
| 1712 1699 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1713 1700 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1714 1701 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] - <span class="i">$Other</span><span class="sc">;</span> | |
| 1715 1702 <span class="s">}</span> | |
| 1716 1703 <span class="s">}</span> | |
| 1717 1704 <span class="s">}</span> | |
| 1718 1705 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 1719 1706 <span class="s">}</span> | |
| 1720 1707 | |
| 1721 1708 <span class="c">#</span> | |
| 1722 1709 <span class="c"># Matrix multiplication operator supports two multiplication modes:</span> | |
| 1723 1710 <span class="c"># . Multiplication of two matrices</span> | |
| 1724 1711 <span class="c"># . Multiplication of matrix values by a scalar ($Matrix * 1)</span> | |
| 1725 1712 <span class="c">#</span> | |
| 1726 1713 <span class="c"># Caveats:</span> | |
| 1727 1714 <span class="c"># . Multiplication of a scalar by a is not allowed (1 * $Matrix)</span> | |
| 1728 1715 <span class="c">#</span> | |
| 1729 <a name="_MatrixMultiplicationOperator-"></a>1716 <span class="k">sub </span><span class="m">_MatrixMultiplicationOperator</span> <span class="s">{</span> | |
| 1730 1717 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="s">)</span><span class="sc">;</span> | |
| 1731 1718 | |
| 1732 1719 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixMultiplicationOperator: Matrix multiplication failed"</span><span class="sc">;</span> | |
| 1733 1720 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
| 1734 1721 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="s">)</span><span class="sc">;</span> | |
| 1735 1722 | |
| 1736 1723 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="s">)</span><span class="sc">;</span> | |
| 1737 1724 | |
| 1738 1725 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 1739 1726 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 1740 1727 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols1</span><span class="cm">,</span> <span class="i">$RowIndex1</span><span class="cm">,</span> <span class="i">$ColIndex1</span><span class="cm">,</span> <span class="i">$NumOfRows2</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="cm">,</span> <span class="i">$ColIndex2</span><span class="cm">,</span> <span class="i">$Value</span><span class="cm">,</span> <span class="i">$RowColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1741 1728 | |
| 1742 1729 <span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols1</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1743 1730 <span class="s">(</span><span class="i">$NumOfRows2</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1744 1731 | |
| 1745 1732 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfCols1</span> != <span class="i">$NumOfRows2</span><span class="s">)</span> <span class="s">{</span> | |
| 1746 1733 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: NumOfCols in first matrix of size $NumOfRows1 x $NumOfCols1 must be equal to NumOfRows in second matrix of size $NumOfRows2 x $NumOfCols2..."</span><span class="sc">;</span> | |
| 1747 1734 <span class="s">}</span> | |
| 1748 1735 | |
| 1749 1736 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="s">)</span><span class="sc">;</span> | |
| 1750 1737 | |
| 1751 1738 <span class="k">for</span> <span class="i">$RowIndex1</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows1</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1752 1739 <span class="k">for</span> <span class="i">$ColIndex2</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols2</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1753 1740 <span class="i">$Value</span> = <span class="n">0</span><span class="sc">;</span> | |
| 1754 1741 <span class="k">for</span> <span class="i">$RowColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols1</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1755 1742 <span class="i">$Value</span> += <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex1</span>][<span class="i">$RowColIndex</span>] * <span class="i">$Other</span>->[<span class="i">$RowColIndex</span>][<span class="i">$ColIndex2</span>]<span class="sc">;</span> | |
| 1756 1743 <span class="s">}</span> | |
| 1757 1744 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex1</span>][<span class="i">$ColIndex2</span>] = <span class="i">$Value</span><span class="sc">;</span> | |
| 1758 1745 <span class="s">}</span> | |
| 1759 1746 <span class="s">}</span> | |
| 1760 1747 <span class="s">}</span> | |
| 1761 1748 <span class="k">else</span> <span class="s">{</span> | |
| 1762 1749 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1763 1750 | |
| 1764 1751 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1765 1752 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 1766 1753 <span class="c"># Scalar subtraction...</span> | |
| 1767 1754 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 1768 1755 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 1769 1756 <span class="s">}</span> | |
| 1770 1757 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1771 1758 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1772 1759 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] * <span class="i">$Other</span><span class="sc">;</span> | |
| 1773 1760 <span class="s">}</span> | |
| 1774 1761 <span class="s">}</span> | |
| 1775 1762 <span class="s">}</span> | |
| 1776 1763 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 1777 1764 <span class="s">}</span> | |
| 1778 1765 | |
| 1779 1766 <span class="c">#</span> | |
| 1780 1767 <span class="c"># Matrix division operator supports two division modes:</span> | |
| 1781 1768 <span class="c"># . Division of two matrices by dividing corresponding matrix values</span> | |
| 1782 1769 <span class="c"># . Division matrix values by a scalar($Matrix/2)</span> | |
| 1783 1770 <span class="c">#</span> | |
| 1784 1771 <span class="c"># Caveats:</span> | |
| 1785 1772 <span class="c"># . Division of scalar value by a matrix is not allowed (2/$Matrix)</span> | |
| 1786 1773 <span class="c">#</span> | |
| 1787 <a name="_MatrixDivisionOperator-"></a>1774 <span class="k">sub </span><span class="m">_MatrixDivisionOperator</span> <span class="s">{</span> | |
| 1788 1775 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 1789 1776 | |
| 1790 1777 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixDivisionOperator: Matrix division failed"</span><span class="sc">;</span> | |
| 1791 1778 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 1792 1779 | |
| 1793 1780 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1794 1781 | |
| 1795 1782 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1796 1783 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 1797 1784 | |
| 1798 1785 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 1799 1786 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 1800 1787 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1801 1788 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1802 1789 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] / <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 1803 1790 <span class="s">}</span> | |
| 1804 1791 <span class="s">}</span> | |
| 1805 1792 <span class="s">}</span> | |
| 1806 1793 <span class="k">else</span> <span class="s">{</span> | |
| 1807 1794 <span class="c"># Scalar subtraction...</span> | |
| 1808 1795 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 1809 1796 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 1810 1797 <span class="s">}</span> | |
| 1811 1798 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1812 1799 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1813 1800 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] / <span class="i">$Other</span><span class="sc">;</span> | |
| 1814 1801 <span class="s">}</span> | |
| 1815 1802 <span class="s">}</span> | |
| 1816 1803 <span class="s">}</span> | |
| 1817 1804 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 1818 1805 <span class="s">}</span> | |
| 1819 1806 | |
| 1820 1807 <span class="c">#</span> | |
| 1821 1808 <span class="c"># Matrix exponentiation operator supports two division modes:</span> | |
| 1822 1809 <span class="c"># . Exponent of two matrices by exponentiation of corresponding matrix values</span> | |
| 1823 1810 <span class="c"># . Exponentiation matrix values by a scalar ($Matrix ** 2)</span> | |
| 1824 1811 <span class="c">#</span> | |
| 1825 1812 <span class="c"># Caveats:</span> | |
| 1826 1813 <span class="c"># . Exponentiation of scalar value by a matrix is not allowed (2 ** $Matrix)</span> | |
| 1827 1814 <span class="c">#</span> | |
| 1828 <a name="_MatrixExponentiationOperator-"></a>1815 <span class="k">sub </span><span class="m">_MatrixExponentiationOperator</span> <span class="s">{</span> | |
| 1829 1816 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 1830 1817 | |
| 1831 1818 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixExponentiationOperator: Matrix exponentiation failed"</span><span class="sc">;</span> | |
| 1832 1819 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 1833 1820 | |
| 1834 1821 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1835 1822 | |
| 1836 1823 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1837 1824 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 1838 1825 | |
| 1839 1826 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 1840 1827 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 1841 1828 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1842 1829 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1843 1830 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] ** <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 1844 1831 <span class="s">}</span> | |
| 1845 1832 <span class="s">}</span> | |
| 1846 1833 <span class="s">}</span> | |
| 1847 1834 <span class="k">else</span> <span class="s">{</span> | |
| 1848 1835 <span class="c"># Scalar subtraction...</span> | |
| 1849 1836 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 1850 1837 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 1851 1838 <span class="s">}</span> | |
| 1852 1839 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1853 1840 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1854 1841 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] ** <span class="i">$Other</span><span class="sc">;</span> | |
| 1855 1842 <span class="s">}</span> | |
| 1856 1843 <span class="s">}</span> | |
| 1857 1844 <span class="s">}</span> | |
| 1858 1845 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 1859 1846 <span class="s">}</span> | |
| 1860 1847 | |
| 1861 1848 <span class="c">#</span> | |
| 1862 1849 <span class="c"># Matrix modulus operator supports two division modes:</span> | |
| 1863 1850 <span class="c"># . Modulus of two matrices by taking modulus between corresponding matrix values</span> | |
| 1864 1851 <span class="c"># . Modulus of matrix values by a scalar ($Matrix % 2)</span> | |
| 1865 1852 <span class="c">#</span> | |
| 1866 1853 <span class="c"># Caveats:</span> | |
| 1867 1854 <span class="c"># . Modulus of scalar value by a matrix is not allowed (2 % $Matrix)</span> | |
| 1868 1855 <span class="c">#</span> | |
| 1869 <a name="_MatrixModulusOperator-"></a>1856 <span class="k">sub </span><span class="m">_MatrixModulusOperator</span> <span class="s">{</span> | |
| 1870 1857 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 1871 1858 | |
| 1872 1859 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixModulusOperator: Matrix modulus failed"</span><span class="sc">;</span> | |
| 1873 1860 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 1874 1861 | |
| 1875 1862 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1876 1863 | |
| 1877 1864 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1878 1865 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 1879 1866 | |
| 1880 1867 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 1881 1868 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 1882 1869 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1883 1870 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1884 1871 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] % <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 1885 1872 <span class="s">}</span> | |
| 1886 1873 <span class="s">}</span> | |
| 1887 1874 <span class="s">}</span> | |
| 1888 1875 <span class="k">else</span> <span class="s">{</span> | |
| 1889 1876 <span class="c"># Scalar subtraction...</span> | |
| 1890 1877 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 1891 1878 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 1892 1879 <span class="s">}</span> | |
| 1893 1880 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1894 1881 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1895 1882 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] % <span class="i">$Other</span><span class="sc">;</span> | |
| 1896 1883 <span class="s">}</span> | |
| 1897 1884 <span class="s">}</span> | |
| 1898 1885 <span class="s">}</span> | |
| 1899 1886 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 1900 1887 <span class="s">}</span> | |
| 1901 1888 | |
| 1902 1889 <span class="c">#</span> | |
| 1903 1890 <span class="c"># Matrix booelan operator checks whether a matrix contains at least one non-zero</span> | |
| 1904 1891 <span class="c"># value...</span> | |
| 1905 1892 <span class="c">#</span> | |
| 1906 <a name="_MatrixBooleanOperator-"></a>1893 <span class="k">sub </span><span class="m">_MatrixBooleanOperator</span> <span class="s">{</span> | |
| 1907 1894 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 1908 1895 | |
| 1909 1896 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixBooleanOperator: Matrix boolean operation failed"</span><span class="sc">;</span> | |
| 1910 1897 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 1911 1898 | |
| 1912 1899 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1913 1900 | |
| 1914 1901 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1915 1902 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1916 1903 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1917 1904 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1918 1905 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1919 1906 <span class="s">}</span> | |
| 1920 1907 <span class="s">}</span> | |
| 1921 1908 <span class="s">}</span> | |
| 1922 1909 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1923 1910 <span class="s">}</span> | |
| 1924 1911 | |
| 1925 1912 <span class="c">#</span> | |
| 1926 1913 <span class="c"># Matrix not booelan operator checks whether a matrix contains only zero values...</span> | |
| 1927 1914 <span class="c"># value...</span> | |
| 1928 1915 <span class="c">#</span> | |
| 1929 <a name="_MatrixNotBooleanOperator-"></a>1916 <span class="k">sub </span><span class="m">_MatrixNotBooleanOperator</span> <span class="s">{</span> | |
| 1930 1917 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 1931 1918 | |
| 1932 1919 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixNotBooleanOperator: Matrix not boolean operation failed"</span><span class="sc">;</span> | |
| 1933 1920 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 1934 1921 | |
| 1935 1922 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1936 1923 | |
| 1937 1924 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1938 1925 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1939 1926 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1940 1927 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
| 1941 1928 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1942 1929 <span class="s">}</span> | |
| 1943 1930 <span class="s">}</span> | |
| 1944 1931 <span class="s">}</span> | |
| 1945 1932 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 1946 1933 <span class="s">}</span> | |
| 1947 1934 | |
| 1948 1935 <span class="c">#</span> | |
| 1949 1936 <span class="c"># Matrix equal operator supports two modes:</span> | |
| 1950 1937 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
| 1951 1938 <span class="c"># . Comparing matrix values to a scalar ($Matrix == 2)</span> | |
| 1952 1939 <span class="c">#</span> | |
| 1953 1940 <span class="c"># Caveats:</span> | |
| 1954 1941 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 == $Matrix)</span> | |
| 1955 1942 <span class="c">#</span> | |
| 1956 <a name="_MatrixEqualOperator-"></a>1943 <span class="k">sub </span><span class="m">_MatrixEqualOperator</span> <span class="s">{</span> | |
| 1957 1944 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 1958 1945 | |
| 1959 1946 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixEqualOperator: Matrix equal failed"</span><span class="sc">;</span> | |
| 1960 1947 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
| 1961 1948 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
| 1962 1949 | |
| 1963 1950 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 1964 1951 | |
| 1965 1952 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1966 1953 | |
| 1967 1954 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 1968 1955 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 1969 1956 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 1970 1957 | |
| 1971 1958 <span class="c"># Check sizes...</span> | |
| 1972 1959 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 1973 1960 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1974 1961 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1975 1962 <span class="s">}</span> | |
| 1976 1963 | |
| 1977 1964 <span class="c"># Check values...</span> | |
| 1978 1965 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1979 1966 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1980 1967 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
| 1981 1968 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1982 1969 <span class="s">}</span> | |
| 1983 1970 <span class="s">}</span> | |
| 1984 1971 <span class="s">}</span> | |
| 1985 1972 <span class="s">}</span> | |
| 1986 1973 <span class="k">else</span> <span class="s">{</span> | |
| 1987 1974 <span class="c"># Scalar comparison...</span> | |
| 1988 1975 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 1989 1976 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 1990 1977 <span class="s">}</span> | |
| 1991 1978 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1992 1979 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 1993 1980 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
| 1994 1981 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 1995 1982 <span class="s">}</span> | |
| 1996 1983 <span class="s">}</span> | |
| 1997 1984 <span class="s">}</span> | |
| 1998 1985 <span class="s">}</span> | |
| 1999 1986 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 2000 1987 <span class="s">}</span> | |
| 2001 1988 | |
| 2002 1989 <span class="c">#</span> | |
| 2003 1990 <span class="c"># Matrix not equal operator supports two modes:</span> | |
| 2004 1991 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
| 2005 1992 <span class="c"># . Comparing matrix values to a scalar ($Matrix != 2)</span> | |
| 2006 1993 <span class="c">#</span> | |
| 2007 1994 <span class="c"># Caveats:</span> | |
| 2008 1995 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 != $Matrix)</span> | |
| 2009 1996 <span class="c">#</span> | |
| 2010 <a name="_MatrixNotEqualOperator-"></a>1997 <span class="k">sub </span><span class="m">_MatrixNotEqualOperator</span> <span class="s">{</span> | |
| 2011 1998 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2012 1999 | |
| 2013 2000 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixNotEqualOperator: Matrix not equal failed"</span><span class="sc">;</span> | |
| 2014 2001 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
| 2015 2002 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
| 2016 2003 | |
| 2017 2004 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2018 2005 | |
| 2019 2006 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2020 2007 | |
| 2021 2008 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 2022 2009 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 2023 2010 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2024 2011 | |
| 2025 2012 <span class="c"># Check sizes...</span> | |
| 2026 2013 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2027 2014 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2028 2015 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 2029 2016 <span class="s">}</span> | |
| 2030 2017 | |
| 2031 2018 <span class="c"># Check values...</span> | |
| 2032 2019 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2033 2020 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2034 2021 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] == <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
| 2035 2022 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2036 2023 <span class="s">}</span> | |
| 2037 2024 <span class="s">}</span> | |
| 2038 2025 <span class="s">}</span> | |
| 2039 2026 <span class="s">}</span> | |
| 2040 2027 <span class="k">else</span> <span class="s">{</span> | |
| 2041 2028 <span class="c"># Scalar comparison...</span> | |
| 2042 2029 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 2043 2030 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 2044 2031 <span class="s">}</span> | |
| 2045 2032 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2046 2033 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2047 2034 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] == <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
| 2048 2035 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2049 2036 <span class="s">}</span> | |
| 2050 2037 <span class="s">}</span> | |
| 2051 2038 <span class="s">}</span> | |
| 2052 2039 <span class="s">}</span> | |
| 2053 2040 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 2054 2041 <span class="s">}</span> | |
| 2055 2042 | |
| 2056 2043 <span class="c">#</span> | |
| 2057 2044 <span class="c"># Matrix less than operator supports two modes:</span> | |
| 2058 2045 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
| 2059 2046 <span class="c"># . Comparing matrix values to a scalar ($Matrix < 2)</span> | |
| 2060 2047 <span class="c">#</span> | |
| 2061 2048 <span class="c"># Caveats:</span> | |
| 2062 2049 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 < $Matrix)</span> | |
| 2063 2050 <span class="c">#</span> | |
| 2064 <a name="_MatrixLessThanOperator-"></a>2051 <span class="k">sub </span><span class="m">_MatrixLessThanOperator</span> <span class="s">{</span> | |
| 2065 2052 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2066 2053 | |
| 2067 2054 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixLessThanOperator: Matrix less than failed"</span><span class="sc">;</span> | |
| 2068 2055 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
| 2069 2056 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
| 2070 2057 | |
| 2071 2058 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2072 2059 | |
| 2073 2060 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2074 2061 | |
| 2075 2062 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 2076 2063 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 2077 2064 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2078 2065 | |
| 2079 2066 <span class="c"># Check sizes...</span> | |
| 2080 2067 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2081 2068 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2082 2069 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2083 2070 <span class="s">}</span> | |
| 2084 2071 | |
| 2085 2072 <span class="c"># Check values...</span> | |
| 2086 2073 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2087 2074 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2088 2075 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] >= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
| 2089 2076 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2090 2077 <span class="s">}</span> | |
| 2091 2078 <span class="s">}</span> | |
| 2092 2079 <span class="s">}</span> | |
| 2093 2080 <span class="s">}</span> | |
| 2094 2081 <span class="k">else</span> <span class="s">{</span> | |
| 2095 2082 <span class="c"># Scalar comparison...</span> | |
| 2096 2083 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 2097 2084 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 2098 2085 <span class="s">}</span> | |
| 2099 2086 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2100 2087 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2101 2088 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] >= <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
| 2102 2089 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2103 2090 <span class="s">}</span> | |
| 2104 2091 <span class="s">}</span> | |
| 2105 2092 <span class="s">}</span> | |
| 2106 2093 <span class="s">}</span> | |
| 2107 2094 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 2108 2095 <span class="s">}</span> | |
| 2109 2096 | |
| 2110 2097 <span class="c">#</span> | |
| 2111 2098 <span class="c"># Matrix less than equal operator supports two modes:</span> | |
| 2112 2099 <span class="c"># . Comparion of corresponding values in two matrices</span> | |
| 2113 2100 <span class="c"># . Comparing matrix values to a scalar ($Matrix <= 2)</span> | |
| 2114 2101 <span class="c">#</span> | |
| 2115 2102 <span class="c"># Caveats:</span> | |
| 2116 2103 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 <= $Matrix)</span> | |
| 2117 2104 <span class="c">#</span> | |
| 2118 <a name="_MatrixLessThanEqualOperator-"></a>2105 <span class="k">sub </span><span class="m">_MatrixLessThanEqualOperator</span> <span class="s">{</span> | |
| 2119 2106 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2120 2107 | |
| 2121 2108 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixLessThanEqualOperator: Matrix less than equal failed"</span><span class="sc">;</span> | |
| 2122 2109 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
| 2123 2110 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
| 2124 2111 | |
| 2125 2112 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2126 2113 | |
| 2127 2114 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2128 2115 | |
| 2129 2116 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 2130 2117 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 2131 2118 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2132 2119 | |
| 2133 2120 <span class="c"># Check sizes...</span> | |
| 2134 2121 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2135 2122 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2136 2123 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2137 2124 <span class="s">}</span> | |
| 2138 2125 | |
| 2139 2126 <span class="c"># Check values...</span> | |
| 2140 2127 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2141 2128 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2142 2129 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] > <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
| 2143 2130 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2144 2131 <span class="s">}</span> | |
| 2145 2132 <span class="s">}</span> | |
| 2146 2133 <span class="s">}</span> | |
| 2147 2134 <span class="s">}</span> | |
| 2148 2135 <span class="k">else</span> <span class="s">{</span> | |
| 2149 2136 <span class="c"># Scalar comparison...</span> | |
| 2150 2137 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 2151 2138 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 2152 2139 <span class="s">}</span> | |
| 2153 2140 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2154 2141 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2155 2142 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] > <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
| 2156 2143 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2157 2144 <span class="s">}</span> | |
| 2158 2145 <span class="s">}</span> | |
| 2159 2146 <span class="s">}</span> | |
| 2160 2147 <span class="s">}</span> | |
| 2161 2148 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 2162 2149 <span class="s">}</span> | |
| 2163 2150 | |
| 2164 2151 <span class="c">#</span> | |
| 2165 2152 <span class="c"># Matrix greatar than operator supports two modes:</span> | |
| 2166 2153 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
| 2167 2154 <span class="c"># . Comparing matrix values to a scalar ($Matrix > 2)</span> | |
| 2168 2155 <span class="c">#</span> | |
| 2169 2156 <span class="c"># Caveats:</span> | |
| 2170 2157 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 > $Matrix)</span> | |
| 2171 2158 <span class="c">#</span> | |
| 2172 <a name="_MatrixGreatarThanOperator-"></a>2159 <span class="k">sub </span><span class="m">_MatrixGreatarThanOperator</span> <span class="s">{</span> | |
| 2173 2160 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2174 2161 | |
| 2175 2162 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixGreatarThanOperator: Matrix greatar than failed"</span><span class="sc">;</span> | |
| 2176 2163 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
| 2177 2164 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
| 2178 2165 | |
| 2179 2166 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2180 2167 | |
| 2181 2168 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2182 2169 | |
| 2183 2170 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 2184 2171 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 2185 2172 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2186 2173 | |
| 2187 2174 <span class="c"># Check sizes...</span> | |
| 2188 2175 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2189 2176 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2190 2177 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2191 2178 <span class="s">}</span> | |
| 2192 2179 | |
| 2193 2180 <span class="c"># Check values...</span> | |
| 2194 2181 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2195 2182 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2196 2183 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] <= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
| 2197 2184 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2198 2185 <span class="s">}</span> | |
| 2199 2186 <span class="s">}</span> | |
| 2200 2187 <span class="s">}</span> | |
| 2201 2188 <span class="s">}</span> | |
| 2202 2189 <span class="k">else</span> <span class="s">{</span> | |
| 2203 2190 <span class="c"># Scalar comparison...</span> | |
| 2204 2191 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 2205 2192 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 2206 2193 <span class="s">}</span> | |
| 2207 2194 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2208 2195 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2209 2196 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] <= <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
| 2210 2197 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2211 2198 <span class="s">}</span> | |
| 2212 2199 <span class="s">}</span> | |
| 2213 2200 <span class="s">}</span> | |
| 2214 2201 <span class="s">}</span> | |
| 2215 2202 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 2216 2203 <span class="s">}</span> | |
| 2217 2204 | |
| 2218 2205 <span class="c">#</span> | |
| 2219 2206 <span class="c"># Matrix greatar than equal operator supports two modes:</span> | |
| 2220 2207 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
| 2221 2208 <span class="c"># . Comparing matrix values to a scalar ($Matrix >= 2)</span> | |
| 2222 2209 <span class="c">#</span> | |
| 2223 2210 <span class="c"># Caveats:</span> | |
| 2224 2211 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 >= $Matrix)</span> | |
| 2225 2212 <span class="c">#</span> | |
| 2226 <a name="_MatrixGreatarThanEqualOperator-"></a>2213 <span class="k">sub </span><span class="m">_MatrixGreatarThanEqualOperator</span> <span class="s">{</span> | |
| 2227 2214 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2228 2215 | |
| 2229 2216 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixGreatarThanEqualOperator: Matrix greatar than equal failed"</span><span class="sc">;</span> | |
| 2230 2217 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
| 2231 2218 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
| 2232 2219 | |
| 2233 2220 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2234 2221 | |
| 2235 2222 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2236 2223 | |
| 2237 2224 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
| 2238 2225 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
| 2239 2226 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2240 2227 | |
| 2241 2228 <span class="c"># Check sizes...</span> | |
| 2242 2229 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2243 2230 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2244 2231 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2245 2232 <span class="s">}</span> | |
| 2246 2233 | |
| 2247 2234 <span class="c"># Check values...</span> | |
| 2248 2235 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2249 2236 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2250 2237 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] < <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
| 2251 2238 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2252 2239 <span class="s">}</span> | |
| 2253 2240 <span class="s">}</span> | |
| 2254 2241 <span class="s">}</span> | |
| 2255 2242 <span class="s">}</span> | |
| 2256 2243 <span class="k">else</span> <span class="s">{</span> | |
| 2257 2244 <span class="c"># Scalar comparison...</span> | |
| 2258 2245 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
| 2259 2246 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
| 2260 2247 <span class="s">}</span> | |
| 2261 2248 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2262 2249 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2263 2250 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] < <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
| 2264 2251 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
| 2265 2252 <span class="s">}</span> | |
| 2266 2253 <span class="s">}</span> | |
| 2267 2254 <span class="s">}</span> | |
| 2268 2255 <span class="s">}</span> | |
| 2269 2256 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 2270 2257 <span class="s">}</span> | |
| 2271 2258 | |
| 2272 2259 <span class="c">#</span> | |
| 2273 2260 <span class="c"># Matrix negative value operator returns a matrix with values corresponding to</span> | |
| 2274 2261 <span class="c"># negative values of a matrix</span> | |
| 2275 2262 <span class="c">#</span> | |
| 2276 <a name="_MatrixNegativeValueOperator-"></a>2263 <span class="k">sub </span><span class="m">_MatrixNegativeValueOperator</span> <span class="s">{</span> | |
| 2277 2264 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2278 2265 | |
| 2279 2266 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixNegativeValueOperator: Matrix negative value operation failed"</span><span class="sc">;</span> | |
| 2280 2267 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 2281 2268 | |
| 2282 2269 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2283 2270 | |
| 2284 2271 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2285 2272 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2286 2273 | |
| 2287 2274 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2288 2275 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2289 2276 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = - <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 2290 2277 <span class="s">}</span> | |
| 2291 2278 <span class="s">}</span> | |
| 2292 2279 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 2293 2280 <span class="s">}</span> | |
| 2294 2281 | |
| 2295 2282 <span class="c">#</span> | |
| 2296 2283 <span class="c"># Matrix absolute value operator returns a matrix with values corresponding to</span> | |
| 2297 2284 <span class="c"># absolute values of a matrix</span> | |
| 2298 2285 <span class="c">#</span> | |
| 2299 <a name="_MatrixAbsoluteValueOperator-"></a>2286 <span class="k">sub </span><span class="m">_MatrixAbsoluteValueOperator</span> <span class="s">{</span> | |
| 2300 2287 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2301 2288 | |
| 2302 2289 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixAbsoluteValueOperator: Matrix absolute value operation failed"</span><span class="sc">;</span> | |
| 2303 2290 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 2304 2291 | |
| 2305 2292 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2306 2293 | |
| 2307 2294 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2308 2295 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2309 2296 | |
| 2310 2297 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2311 2298 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2312 2299 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">abs</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 2313 2300 <span class="s">}</span> | |
| 2314 2301 <span class="s">}</span> | |
| 2315 2302 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 2316 2303 <span class="s">}</span> | |
| 2317 2304 | |
| 2318 2305 <span class="c">#</span> | |
| 2319 2306 <span class="c"># Matrix exp natural base operator returns a matrix with values corresponding to</span> | |
| 2320 2307 <span class="c"># e raised to the power of values in a matrix</span> | |
| 2321 2308 <span class="c">#</span> | |
| 2322 <a name="_MatrixExpNaturalBaseOperator-"></a>2309 <span class="k">sub </span><span class="m">_MatrixExpNaturalBaseOperator</span> <span class="s">{</span> | |
| 2323 2310 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2324 2311 | |
| 2325 2312 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixExpNaturalBaseOperator: Matrix exp operation failed"</span><span class="sc">;</span> | |
| 2326 2313 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 2327 2314 | |
| 2328 2315 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2329 2316 | |
| 2330 2317 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2331 2318 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2332 2319 | |
| 2333 2320 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2334 2321 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2335 2322 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">exp</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 2336 2323 <span class="s">}</span> | |
| 2337 2324 <span class="s">}</span> | |
| 2338 2325 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 2339 2326 <span class="s">}</span> | |
| 2340 2327 | |
| 2341 2328 <span class="c">#</span> | |
| 2342 2329 <span class="c"># Matrix log natural base operator returns a matrix with values corresponding to</span> | |
| 2343 2330 <span class="c"># log of values in a matrix</span> | |
| 2344 2331 <span class="c">#</span> | |
| 2345 <a name="_MatrixLogNaturalBaseOperator-"></a>2332 <span class="k">sub </span><span class="m">_MatrixLogNaturalBaseOperator</span> <span class="s">{</span> | |
| 2346 2333 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2347 2334 | |
| 2348 2335 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixLogNaturalBaseOperator: Matrix log operation failed"</span><span class="sc">;</span> | |
| 2349 2336 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 2350 2337 | |
| 2351 2338 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2352 2339 | |
| 2353 2340 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2354 2341 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2355 2342 | |
| 2356 2343 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2357 2344 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2358 2345 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">log</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 2359 2346 <span class="s">}</span> | |
| 2360 2347 <span class="s">}</span> | |
| 2361 2348 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 2362 2349 <span class="s">}</span> | |
| 2363 2350 | |
| 2364 2351 <span class="c">#</span> | |
| 2365 2352 <span class="c"># Matrix square root operator returns a matrix with values corresponding to</span> | |
| 2366 2353 <span class="c"># sqrt of values in a matrix</span> | |
| 2367 2354 <span class="c">#</span> | |
| 2368 <a name="_MatrixSquareRootOperator-"></a>2355 <span class="k">sub </span><span class="m">_MatrixSquareRootOperator</span> <span class="s">{</span> | |
| 2369 2356 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2370 2357 | |
| 2371 2358 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixSquareRootOperator: Matrix sqrt operation failed"</span><span class="sc">;</span> | |
| 2372 2359 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 2373 2360 | |
| 2374 2361 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2375 2362 | |
| 2376 2363 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2377 2364 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2378 2365 | |
| 2379 2366 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2380 2367 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2381 2368 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">sqrt</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 2382 2369 <span class="s">}</span> | |
| 2383 2370 <span class="s">}</span> | |
| 2384 2371 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 2385 2372 <span class="s">}</span> | |
| 2386 2373 | |
| 2387 2374 <span class="c">#</span> | |
| 2388 2375 <span class="c"># Matrix sine root operator returns a matrix with values corresponding to</span> | |
| 2389 2376 <span class="c"># sin of values in a matrix</span> | |
| 2390 2377 <span class="c">#</span> | |
| 2391 <a name="_MatrixSineOperator-"></a>2378 <span class="k">sub </span><span class="m">_MatrixSineOperator</span> <span class="s">{</span> | |
| 2392 2379 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2393 2380 | |
| 2394 2381 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixSineOperator: Matrix sin operation failed"</span><span class="sc">;</span> | |
| 2395 2382 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 2396 2383 | |
| 2397 2384 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2398 2385 | |
| 2399 2386 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2400 2387 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2401 2388 | |
| 2402 2389 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2403 2390 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2404 2391 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">sin</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 2405 2392 <span class="s">}</span> | |
| 2406 2393 <span class="s">}</span> | |
| 2407 2394 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 2408 2395 <span class="s">}</span> | |
| 2409 2396 | |
| 2410 2397 <span class="c">#</span> | |
| 2411 2398 <span class="c"># Matrix cosine root operator returns a matrix with values corresponding to</span> | |
| 2412 2399 <span class="c"># cos of values in a matrix</span> | |
| 2413 2400 <span class="c">#</span> | |
| 2414 <a name="_MatrixCosineOperator-"></a>2401 <span class="k">sub </span><span class="m">_MatrixCosineOperator</span> <span class="s">{</span> | |
| 2415 2402 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
| 2416 2403 | |
| 2417 2404 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixCosineOperator: Matrix cos operation failed"</span><span class="sc">;</span> | |
| 2418 2405 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
| 2419 2406 | |
| 2420 2407 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
| 2421 2408 | |
| 2422 2409 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2423 2410 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
| 2424 2411 | |
| 2425 2412 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2426 2413 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2427 2414 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">cos</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
| 2428 2415 <span class="s">}</span> | |
| 2429 2416 <span class="s">}</span> | |
| 2430 2417 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
| 2431 2418 <span class="s">}</span> | |
| 2432 2419 | |
| 2433 2420 <span class="c"># Turn matrix into array for @{$Matrix} operation...</span> | |
| 2434 2421 <span class="c">#</span> | |
| 2435 <a name="_MatrixToArrayOperator-"></a>2422 <span class="k">sub </span><span class="m">_MatrixToArrayOperator</span> <span class="s">{</span> | |
| 2436 2423 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 2437 2424 | |
| 2438 2425 <span class="k">return</span> \<span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> | |
| 2439 2426 <span class="s">}</span> | |
| 2440 2427 | |
| 2441 2428 <span class="c"># Always return true in boolean context...</span> | |
| 2442 2429 <span class="c">#</span> | |
| 2443 <a name="_BoolifyMatrix-"></a>2430 <span class="k">sub </span><span class="m">_BoolifyMatrix</span> <span class="s">{</span> | |
| 2444 2431 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 2445 2432 | |
| 2446 2433 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
| 2447 2434 <span class="s">}</span> | |
| 2448 2435 | |
| 2449 2436 <span class="c"># Process parameters passed to overloaded operators...</span> | |
| 2450 2437 <span class="c">#</span> | |
| 2451 2438 <span class="c"># For uninary operators, $SecondParameter is not defined.</span> | |
| 2452 <a name="_ProcessOverloadedOperatorParameters-"></a>2439 <span class="k">sub </span><span class="m">_ProcessOverloadedOperatorParameters</span> <span class="s">{</span> | |
| 2453 2440 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ParametersOrderStatus</span><span class="cm">,</span> <span class="i">$CheckMatrixSizesStatus</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 2454 2441 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
| 2455 2442 | |
| 2456 2443 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
| 2457 2444 <span class="i">$OrderFlipped</span> = <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$ParametersOrderStatus</span><span class="s">)</span> && <span class="i">$ParametersOrderStatus</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
| 2458 2445 <span class="i">$CheckMatrixSizes</span> = <span class="s">(</span><span class="k">defined</span> <span class="i">$CheckMatrixSizesStatus</span><span class="s">)</span> ? <span class="i">$CheckMatrixSizesStatus</span> <span class="co">:</span> <span class="n">1</span><span class="sc">;</span> | |
| 2459 2446 | |
| 2460 2447 <span class="i">_ValidateMatrix</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$This</span><span class="s">)</span><span class="sc">;</span> | |
| 2461 2448 | |
| 2462 2449 <span class="i">$OtherIsMatrix</span> = <span class="n">0</span><span class="sc">;</span> | |
| 2463 2450 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$Other</span><span class="s">)</span> && <span class="s">(</span><span class="k">ref</span> <span class="i">$Other</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2464 2451 <span class="c"># Make sure $Other is a matrix...</span> | |
| 2465 2452 <span class="i">_ValidateMatrix</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$Other</span><span class="s">)</span><span class="sc">;</span> | |
| 2466 2453 <span class="k">if</span> <span class="s">(</span><span class="i">$CheckMatrixSizes</span><span class="s">)</span> <span class="s">{</span> | |
| 2467 2454 <span class="i">_ValidateMatrixSizesAreEqual</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="s">)</span><span class="sc">;</span> | |
| 2468 2455 <span class="s">}</span> | |
| 2469 2456 <span class="i">$OtherIsMatrix</span> = <span class="n">1</span><span class="sc">;</span> | |
| 2470 2457 <span class="s">}</span> | |
| 2471 2458 <span class="k">return</span> <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span><span class="sc">;</span> | |
| 2472 2459 <span class="s">}</span> | |
| 2473 2460 | |
| 2474 2461 <span class="c"># Make sure size of the two matrices contain the same number of values...</span> | |
| 2475 <a name="_ValidateMatrixSizesAreEqual-"></a>2462 <span class="k">sub </span><span class="m">_ValidateMatrixSizesAreEqual</span> <span class="s">{</span> | |
| 2476 2463 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$Matrix1</span><span class="cm">,</span> <span class="i">$Matrix2</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 2477 2464 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols1</span><span class="cm">,</span> <span class="i">$NumOfRows2</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="s">)</span><span class="sc">;</span> | |
| 2478 2465 | |
| 2479 2466 <span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols1</span><span class="s">)</span> = <span class="i">$Matrix1</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2480 2467 <span class="s">(</span><span class="i">$NumOfRows2</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="s">)</span> = <span class="i">$Matrix2</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2481 2468 | |
| 2482 2469 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows1</span> == <span class="i">$NumOfRows2</span> && <span class="i">$NumOfCols1</span> == <span class="i">$NumOfCols2</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2483 2470 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: Size of the matrices must be same..."</span><span class="sc">;</span> | |
| 2484 2471 <span class="s">}</span> | |
| 2485 2472 <span class="s">}</span> | |
| 2486 2473 | |
| 2487 2474 <span class="c"># Return a string containing matrix values...</span> | |
| 2488 2475 <span class="c">#</span> | |
| 2489 <a name="StringifyMatrix-"></a>2476 <span class="k">sub </span><span class="m">StringifyMatrix</span> <span class="s">{</span> | |
| 2490 2477 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
| 2491 2478 <span class="k">my</span><span class="s">(</span><span class="i">$MatrixString</span><span class="cm">,</span> <span class="i">$MatrixPrintStyleValue</span><span class="cm">,</span> <span class="i">$PrintFormat</span><span class="cm">,</span> <span class="i">$AllRowsInOneLine</span><span class="cm">,</span> <span class="i">$FormatString</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$RowNum</span><span class="cm">,</span> <span class="i">$RowString</span><span class="cm">,</span> <span class="i">@ValuesFormat</span><span class="s">)</span><span class="sc">;</span> | |
| 2492 2479 | |
| 2493 2480 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
| 2494 2481 | |
| 2495 2482 <span class="i">$MatrixPrintStyleValue</span> = <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>->{<span class="w">MatrixPrintStyle</span>}<span class="s">)</span> ? <span class="i">$This</span>->{<span class="w">MatrixPrintStyle</span>} <span class="co">:</span> <span class="i">$MatrixPrintStyle</span><span class="sc">;</span> | |
| 2496 2483 <span class="i">$AllRowsInOneLine</span> = <span class="s">(</span><span class="i">$MatrixPrintStyleValue</span> =~ <span class="q">/^AllRowsInOneLine$/i</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
| 2497 2484 | |
| 2498 2485 <span class="i">$PrintFormat</span> = <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>->{<span class="w">ValueFormat</span>}<span class="s">)</span> ? <span class="i">$This</span>->{<span class="w">ValueFormat</span>} <span class="co">:</span> <span class="i">$ValueFormat</span><span class="sc">;</span> | |
| 2499 2486 | |
| 2500 2487 <span class="i">@ValuesFormat</span> = <span class="s">(</span><span class="i">$PrintFormat</span><span class="s">)</span> x <span class="i">$NumOfCols</span><span class="sc">;</span> | |
| 2501 2488 <span class="i">$FormatString</span> = <span class="k">join</span> <span class="q">' '</span><span class="cm">,</span> <span class="i">@ValuesFormat</span><span class="sc">;</span> | |
| 2502 2489 | |
| 2503 2490 <span class="i">$MatrixString</span> = <span class="k">sprintf</span> <span class="q">"<Size: $NumOfRows x $NumOfCols;"</span><span class="sc">;</span> | |
| 2504 2491 <span class="k">if</span> <span class="s">(</span><span class="i">$AllRowsInOneLine</span><span class="s">)</span> <span class="s">{</span> | |
| 2505 2492 <span class="i">$MatrixString</span> .= <span class="k">sprintf</span> <span class="q">" Values:"</span><span class="sc">;</span> | |
| 2506 2493 <span class="s">}</span> | |
| 2507 2494 <span class="k">else</span> <span class="s">{</span> | |
| 2508 2495 <span class="i">$MatrixString</span> .= <span class="k">sprintf</span> <span class="q">" Values:\n"</span><span class="sc">;</span> | |
| 2509 2496 <span class="s">}</span> | |
| 2510 2497 | |
| 2511 2498 <span class="i">$RowNum</span> = <span class="n">0</span><span class="sc">;</span> | |
| 2512 2499 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
| 2513 2500 <span class="i">$RowNum</span>++<span class="sc">;</span> | |
| 2514 2501 <span class="i">$RowString</span> = <span class="k">sprintf</span> <span class="q">"Row${RowNum}:[$FormatString]"</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>]}<span class="sc">;</span> | |
| 2515 2502 <span class="k">if</span> <span class="s">(</span><span class="i">$AllRowsInOneLine</span><span class="s">)</span> <span class="s">{</span> | |
| 2516 2503 <span class="i">$MatrixString</span> .= <span class="q">" $RowString"</span><span class="sc">;</span> | |
| 2517 2504 <span class="s">}</span> | |
| 2518 2505 <span class="k">else</span> <span class="s">{</span> | |
| 2519 2506 <span class="i">$MatrixString</span> .= <span class="q">"$RowString\n"</span><span class="sc">;</span> | |
| 2520 2507 <span class="s">}</span> | |
| 2521 2508 <span class="s">}</span> | |
| 2522 2509 <span class="i">$MatrixString</span> .= <span class="q">">"</span><span class="sc">;</span> | |
| 2523 2510 <span class="k">return</span> <span class="i">$MatrixString</span><span class="sc">;</span> | |
| 2524 2511 <span class="s">}</span> | |
| 2525 2512 | |
| 2526 <a name="EOF-"></a></pre> | |
| 2527 <p> </p> | |
| 2528 <br /> | |
| 2529 <center> | |
| 2530 <img src="../../../images/h2o2.png"> | |
| 2531 </center> | |
| 2532 </body> | |
| 2533 </html> |