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3 <title>MayaChemTools:Code:Matrix.pm</title>
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13 <pre>
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14 <a name="package-Matrix-"></a> 1 <span class="k">package </span><span class="i">Matrix</span><span class="sc">;</span>
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15 2 <span class="c">#</span>
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16 3 <span class="c"># $RCSfile: Matrix.pm,v $</span>
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17 4 <span class="c"># $Date: 2015/02/28 20:47:17 $</span>
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18 5 <span class="c"># $Revision: 1.16 $</span>
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19 6 <span class="c">#</span>
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20 7 <span class="c"># Author: Manish Sud <msud@san.rr.com></span>
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21 8 <span class="c">#</span>
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22 9 <span class="c"># Copyright (C) 2015 Manish Sud. All rights reserved.</span>
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23 10 <span class="c">#</span>
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24 11 <span class="c"># This file is part of MayaChemTools.</span>
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25 12 <span class="c">#</span>
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26 13 <span class="c"># MayaChemTools is free software; you can redistribute it and/or modify it under</span>
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27 14 <span class="c"># the terms of the GNU Lesser General Public License as published by the Free</span>
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28 15 <span class="c"># Software Foundation; either version 3 of the License, or (at your option) any</span>
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29 16 <span class="c"># later version.</span>
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30 17 <span class="c">#</span>
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31 18 <span class="c"># MayaChemTools is distributed in the hope that it will be useful, but without</span>
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32 19 <span class="c"># any warranty; without even the implied warranty of merchantability of fitness</span>
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33 20 <span class="c"># for a particular purpose. See the GNU Lesser General Public License for more</span>
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34 21 <span class="c"># details.</span>
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35 22 <span class="c">#</span>
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36 23 <span class="c"># You should have received a copy of the GNU Lesser General Public License</span>
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37 24 <span class="c"># along with MayaChemTools; if not, see <http://www.gnu.org/licenses/> or</span>
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38 25 <span class="c"># write to the Free Software Foundation Inc., 59 Temple Place, Suite 330,</span>
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39 26 <span class="c"># Boston, MA, 02111-1307, USA.</span>
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40 27 <span class="c">#</span>
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41 28
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42 29 <span class="k">use</span> <span class="w">strict</span><span class="sc">;</span>
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43 30 <span class="k">use</span> <span class="w">Carp</span><span class="sc">;</span>
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44 31 <span class="k">use</span> <span class="w">Exporter</span><span class="sc">;</span>
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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>
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46 33 <span class="k">use</span> <span class="w">Vector</span><span class="sc">;</span>
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47 34
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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>
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49 36
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50 37 <span class="i">@ISA</span> = <span class="q">qw(Exporter)</span><span class="sc">;</span>
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51 38 <span class="i">@EXPORT</span> = <span class="q">qw(IsMatrix IdentityMatrix NewFromRows NewFromColumns NewFromDiagonal UnitMatrix ZeroMatrix)</span><span class="sc">;</span>
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52 39 <span class="i">@EXPORT_OK</span> = <span class="q">qw(SetValuePrintFormat)</span><span class="sc">;</span>
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53 40
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54 41 <span class="i">%EXPORT_TAGS</span> = <span class="s">(</span>
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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>
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56 43 <span class="s">)</span><span class="sc">;</span>
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57 44
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58 45 <span class="c"># Setup class variables...</span>
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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>
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60 47 <span class="i">_InitializeClass</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
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61 48
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62 49 <span class="c">#</span>
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63 50 <span class="c"># Using the following explicity overloaded operators, Perl automatically generates methods</span>
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64 51 <span class="c"># for operations with no explicitly defined methods. Autogenerated methods are possible for</span>
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65 52 <span class="c"># these operators:</span>
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66 53 <span class="c">#</span>
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67 54 <span class="c"># o Arithmetic operators: += -= *= /= **= %= ++ -- x= .=</span>
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68 55 <span class="c"># o Increment and decrement: ++ --</span>
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69 56 <span class="c">#</span>
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70 57 <span class="c"># 'fallback' is set to 'false' to raise exception for all other operators.</span>
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71 58 <span class="c">#</span>
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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>
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73 60
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74 61 <span class="q">'@{}'</span> <span class="cm">=></span> <span class="q">'_MatrixToArrayOperator'</span><span class="cm">,</span>
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75 62
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76 63 <span class="q">'+'</span> <span class="cm">=></span> <span class="q">'_MatrixAdditionOperator'</span><span class="cm">,</span>
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77 64 <span class="q">'-'</span> <span class="cm">=></span> <span class="q">'_MatrixSubtractionOperator'</span><span class="cm">,</span>
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78 65 <span class="q">'*'</span> <span class="cm">=></span> <span class="q">'_MatrixMultiplicationOperator'</span><span class="cm">,</span>
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79 66 <span class="q">'/'</span> <span class="cm">=></span> <span class="q">'_MatrixDivisionOperator'</span><span class="cm">,</span>
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80 67 <span class="q">'**'</span> <span class="cm">=></span> <span class="q">'_MatrixExponentiationOperator'</span><span class="cm">,</span>
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81 68 <span class="q">'%'</span> <span class="cm">=></span> <span class="q">'_MatrixModulusOperator'</span><span class="cm">,</span>
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82 69
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83 70 <span class="q">'bool'</span> <span class="cm">=></span> <span class="q">'_MatrixBooleanOperator'</span><span class="cm">,</span>
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84 71 <span class="q">'!'</span> <span class="cm">=></span> <span class="q">'_MatrixNotBooleanOperator'</span><span class="cm">,</span>
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85 72
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86 73 <span class="q">'=='</span> <span class="cm">=></span> <span class="q">'_MatrixEqualOperator'</span><span class="cm">,</span>
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87 74 <span class="q">'!='</span> <span class="cm">=></span> <span class="q">'_MatrixNotEqualOperator'</span><span class="cm">,</span>
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88 75 <span class="q">'<'</span> <span class="cm">=></span> <span class="q">'_MatrixLessThanOperator'</span><span class="cm">,</span>
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89 76 <span class="q">'<='</span> <span class="cm">=></span> <span class="q">'_MatrixLessThanEqualOperator'</span><span class="cm">,</span>
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90 77 <span class="q">'>'</span> <span class="cm">=></span> <span class="q">'_MatrixGreatarThanOperator'</span><span class="cm">,</span>
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91 78 <span class="q">'>='</span> <span class="cm">=></span> <span class="q">'_MatrixGreatarThanEqualOperator'</span><span class="cm">,</span>
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92 79
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93 80 <span class="q">'neg'</span> <span class="cm">=></span> <span class="q">'_MatrixNegativeValueOperator'</span><span class="cm">,</span>
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94 81
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95 82 <span class="q">'abs'</span> <span class="cm">=></span> <span class="q">'_MatrixAbsoluteValueOperator'</span><span class="cm">,</span>
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96 83 <span class="q">'exp'</span> <span class="cm">=></span> <span class="q">'_MatrixExpNaturalBaseOperator'</span><span class="cm">,</span>
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97 84 <span class="q">'log'</span> <span class="cm">=></span> <span class="q">'_MatrixLogNaturalBaseOperator'</span><span class="cm">,</span>
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98 85 <span class="q">'sqrt'</span> <span class="cm">=></span> <span class="q">'_MatrixSquareRootOperator'</span><span class="cm">,</span>
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99 86 <span class="q">'cos'</span> <span class="cm">=></span> <span class="q">'_MatrixCosineOperator'</span><span class="cm">,</span>
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100 87 <span class="q">'sin'</span> <span class="cm">=></span> <span class="q">'_MatrixSineOperator'</span><span class="cm">,</span>
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101 88
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102 89 <span class="q">'fallback'</span> <span class="cm">=></span> <span class="k">undef</span><span class="sc">;</span>
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103 90
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104 91 <span class="c"># Class constructor...</span>
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105 <a name="new-"></a> 92 <span class="k">sub </span><span class="m">new</span> <span class="s">{</span>
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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">$NumOfCols</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
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107 94
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108 95 <span class="c"># Initialize object...</span>
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109 96 <span class="k">my</span> <span class="i">$This</span> = <span class="s">{</span><span class="s">}</span><span class="sc">;</span>
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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">$Class</span><span class="sc">;</span>
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111 98 <span class="i">$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>
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112 99
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113 100 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
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114 101 <span class="s">}</span>
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115 102
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116 103 <span class="c"># Initialize object data...</span>
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117 104 <span class="c">#</span>
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118 <a name="_InitializeMatrix-"></a> 105 <span class="k">sub </span><span class="m">_InitializeMatrix</span> <span class="s">{</span>
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119 106 <span class="k">my</span><span class="s">(</span><span class="i">$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>
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120 107
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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>
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122 109 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_InitializeMatrix: NumOfRows and NumOfCols must be specified..."</span><span class="sc">;</span>
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123 110 <span class="s">}</span>
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124 111 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="s">(</span><span class="i">$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>
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125 112 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_InitializeMatrix: NumOfRows and NumOfCols must be a positive number..."</span><span class="sc">;</span>
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126 113 <span class="s">}</span>
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127 114 <span class="c"># Initialize matrix elements to zero...</span>
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128 115 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
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129 116
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130 117 <span class="k">my</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">@EmptyRow</span><span class="s">)</span><span class="sc">;</span>
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131 118
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132 119 <span class="i">@EmptyRow</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
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133 120 <span class="i">@EmptyRow</span> = <span class="s">(</span><span class="q">'0'</span><span class="s">)</span> x <span class="i">$NumOfCols</span><span class="sc">;</span>
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134 121
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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>
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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>
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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>
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138 125 <span class="s">}</span>
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139 126 <span class="s">}</span>
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140 127
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141 128 <span class="c"># Initialize class ...</span>
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142 <a name="_InitializeClass-"></a> 129 <span class="k">sub </span><span class="m">_InitializeClass</span> <span class="s">{</span>
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143 130 <span class="c">#Class name...</span>
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144 131 <span class="i">$ClassName</span> = <span class="w">__PACKAGE__</span><span class="sc">;</span>
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145 132
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146 133 <span class="c"># Print style for matrix rows during StringifyMatrix operation.</span>
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147 134 <span class="c"># Possible values: AllRowsInOneLine, OneRowPerLine</span>
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148 135 <span class="c">#</span>
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149 136 <span class="i">$MatrixPrintStyle</span> = <span class="q">"AllRowsInOneLine"</span><span class="sc">;</span>
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150 137
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151 138 <span class="c"># Print format for matrix values...</span>
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152 139 <span class="i">$ValueFormat</span> = <span class="q">"%g"</span><span class="sc">;</span>
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153 140 <span class="s">}</span>
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154 141
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155 142 <span class="c"># Get matrix size...</span>
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156 143 <span class="c">#</span>
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157 <a name="GetSize-"></a> 144 <span class="k">sub </span><span class="m">GetSize</span> <span class="s">{</span>
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158 145 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
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159 146
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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>
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161 148 <span class="s">}</span>
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162 149
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163 150 <span class="c"># Get matrix dimensions...</span>
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164 151 <span class="c">#</span>
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165 <a name="GetDimension-"></a> 152 <span class="k">sub </span><span class="m">GetDimension</span> <span class="s">{</span>
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166 153 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
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167 154
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168 155 <span class="k">return</span> <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
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169 156 <span class="s">}</span>
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170 157
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171 158 <span class="c"># Get number of rows in matrix</span>
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172 159 <span class="c">#</span>
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173 <a name="GetNumOfRows-"></a> 160 <span class="k">sub </span><span class="m">GetNumOfRows</span> <span class="s">{</span>
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174 161 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
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175 162 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span><span class="sc">;</span>
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176 163
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177 164 <span class="c"># Size of row array...</span>
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178 165 <span class="i">$NumOfRows</span> = <span class="i">$#</span>{<span class="i">$This</span>->{<span class="w">Values</span>}} + <span class="n">1</span><span class="sc">;</span>
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179 166
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180 167 <span class="k">return</span> <span class="i">$NumOfRows</span><span class="sc">;</span>
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181 168 <span class="s">}</span>
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182 169
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183 170 <span class="c"># Get number of columns in matrix</span>
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184 171 <span class="c">#</span>
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185 <a name="GetNumOfColumns-"></a> 172 <span class="k">sub </span><span class="m">GetNumOfColumns</span> <span class="s">{</span>
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186 173 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
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187 174 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span>
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188 175
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189 176 <span class="c"># Size of column array for first row assuming sizes of columns are same...</span>
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190 177 <span class="i">$NumOfCols</span> = <span class="i">$#</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="n">0</span>]} + <span class="n">1</span><span class="sc">;</span>
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191 178
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192 179 <span class="k">return</span> <span class="i">$NumOfCols</span><span class="sc">;</span>
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193 180 <span class="s">}</span>
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194 181
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195 182 <span class="c"># Get reference to array holding matrix values in order to directly manipulate these values...</span>
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196 183 <span class="c">#</span>
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197 <a name="GetMatrixValuesReference-"></a> 184 <span class="k">sub </span><span class="m">GetMatrixValuesReference</span> <span class="s">{</span>
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198 185 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
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199 186
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200 187 <span class="k">return</span> \<span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span>
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201 188 <span class="s">}</span>
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202 189
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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>
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|
|
206 193 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
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|
|
207 194 <span class="k">my</span><span class="s">(</span><span class="i">$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
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|
|
209 196 <span class="c"># Create a new matrix...</span>
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|
|
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">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
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|
211 198 <span class="i">$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>
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|
212 199
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|
|
213 200 <span class="c"># Set matrix values...</span>
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|
|
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>
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|
218 205 <span class="s">}</span>
|
|
|
219 206 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span>
|
|
|
220 207 <span class="s">}</span>
|
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221 208
|
|
|
222 209 <span class="c"># Create a new matrix using rows specified in one of the following formats:</span>
|
|
|
223 210 <span class="c"># o List of vector objects</span>
|
|
|
224 211 <span class="c"># o References to list of values</span>
|
|
|
225 212 <span class="c"># o List of strings containing row values delimited by space</span>
|
|
|
226 213 <span class="c">#</span>
|
|
|
227 214 <span class="c"># Each row must contain the same number of values.</span>
|
|
|
228 215 <span class="c">#</span>
|
|
|
229 216 <span class="c"># This functionality can be either invoked as a class function or an</span>
|
|
|
230 217 <span class="c"># object method.</span>
|
|
|
231 218 <span class="c">#</span>
|
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|
232 <a name="NewFromRows-"></a> 219 <span class="k">sub </span><span class="m">NewFromRows</span> <span class="s">{</span>
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|
|
233 220 <span class="k">my</span><span class="s">(</span><span class="i">$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">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
|
|
|
236 223 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromRows'</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span><span class="sc">;</span>
|
|
|
237 224 <span class="s">}</span>
|
|
|
238 225 <span class="k">else</span> <span class="s">{</span>
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|
|
239 226 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromRows'</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span>
|
|
|
240 227 <span class="s">}</span>
|
|
|
241 228 <span class="s">}</span>
|
|
|
242 229
|
|
|
243 230 <span class="c"># Create a new matrix using columns specified in one of the following formats:</span>
|
|
|
244 231 <span class="c"># o List of vector objects</span>
|
|
|
245 232 <span class="c"># o References to list of values</span>
|
|
|
246 233 <span class="c"># o List of strings containing columns values delimited by space</span>
|
|
|
247 234 <span class="c">#</span>
|
|
|
248 235 <span class="c"># Each columns must contain the same number of values.</span>
|
|
|
249 236 <span class="c">#</span>
|
|
|
250 237 <span class="c"># This functionality can be either invoked as a class function or an</span>
|
|
|
251 238 <span class="c"># object method.</span>
|
|
|
252 239 <span class="c">#</span>
|
|
|
253 <a name="NewFromColumns-"></a> 240 <span class="k">sub </span><span class="m">NewFromColumns</span> <span class="s">{</span>
|
|
|
254 241 <span class="k">my</span><span class="s">(</span><span class="i">$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>
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|
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">$CombineValuesStatus</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
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|
|
383 370 <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="cm">,</span> <span class="i">$TypeOfValue</span><span class="cm">,</span> <span class="i">@ValuesRefs</span><span class="s">)</span><span class="sc">;</span>
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|
|
384 371
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|
|
385 372 <span class="i">@ValuesRefs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
|
|
|
386 373 <span class="k">if</span> <span class="s">(</span>!<span class="i">@SpecifiedValues</span><span class="s">)</span> <span class="s">{</span>
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|
|
387 374 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: No values specified..."</span><span class="sc">;</span>
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|
|
388 375 <span class="s">}</span>
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389 376
|
|
|
390 377 <span class="c"># Collect values...</span>
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|
391 378 <span class="k">for</span> <span class="i">$Value</span> <span class="s">(</span><span class="i">@SpecifiedValues</span><span class="s">)</span> <span class="s">{</span>
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|
|
392 379 <span class="i">$TypeOfValue</span> = <span class="k">ref</span> <span class="i">$Value</span><span class="sc">;</span>
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393 380
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|
|
394 381 <span class="k">if</span> <span class="s">(</span><span class="i">Vector::IsVector</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
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|
|
395 382 <span class="c"># Feference to vector object...</span>
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|
396 383 <span class="k">my</span><span class="s">(</span><span class="i">$ValuesRef</span><span class="s">)</span><span class="sc">;</span>
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|
|
397 384 <span class="i">$ValuesRef</span> = <span class="i">$Value</span><span class="i">->GetValues</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
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|
|
398 385 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$ValuesRef</span>}<span class="s">)</span> <span class="s">{</span>
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|
399 386 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Specified vector object must contain some values..."</span><span class="sc">;</span>
|
|
|
400 387 <span class="s">}</span>
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|
|
401 388 <span class="k">push</span> <span class="i">@ValuesRefs</span><span class="cm">,</span> <span class="i">$ValuesRef</span><span class="sc">;</span>
|
|
|
402 389 <span class="s">}</span>
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|
|
403 390 <span class="k">elsif</span> <span class="s">(</span><span class="i">$TypeOfValue</span> =~ <span class="q">/^ARRAY/</span><span class="s">)</span> <span class="s">{</span>
|
|
|
404 391 <span class="c"># Refernece to an array...</span>
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|
|
405 392 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$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>
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|
|
410 397 <span class="k">elsif</span> <span class="s">(</span><span class="i">$TypeOfValue</span> <span class="k">eq</span> <span class="q">''</span><span class="s">)</span> <span class="s">{</span>
|
|
|
411 398 <span class="c"># String value...</span>
|
|
|
412 399 <span class="k">my</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span>
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|
|
413 400 <span class="i">@Values</span> = <span class="k">split</span><span class="s">(</span><span class="q">' '</span><span class="cm">,</span> <span class="i">$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>
|
