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1 <html> | |
2 <head> | |
3 <title>MayaChemTools:Code:Matrix.pm</title> | |
4 <meta http-equiv="content-type" content="text/html;charset=utf-8"> | |
5 <link rel="stylesheet" type="text/css" href="../../../css/MayaChemToolsCode.css"> | |
6 </head> | |
7 <body leftmargin="20" rightmargin="20" topmargin="10" bottommargin="10"> | |
8 <br/> | |
9 <center> | |
10 <a href="http://www.mayachemtools.org" title="MayaChemTools Home"><img src="../../../images/MayaChemToolsLogo.gif" border="0" alt="MayaChemTools"></a> | |
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13 <pre> | |
14 <a name="package-Matrix-"></a> 1 <span class="k">package </span><span class="i">Matrix</span><span class="sc">;</span> | |
15 2 <span class="c">#</span> | |
16 3 <span class="c"># $RCSfile: Matrix.pm,v $</span> | |
17 4 <span class="c"># $Date: 2015/02/28 20:47:17 $</span> | |
18 5 <span class="c"># $Revision: 1.16 $</span> | |
19 6 <span class="c">#</span> | |
20 7 <span class="c"># Author: Manish Sud <msud@san.rr.com></span> | |
21 8 <span class="c">#</span> | |
22 9 <span class="c"># Copyright (C) 2015 Manish Sud. All rights reserved.</span> | |
23 10 <span class="c">#</span> | |
24 11 <span class="c"># This file is part of MayaChemTools.</span> | |
25 12 <span class="c">#</span> | |
26 13 <span class="c"># MayaChemTools is free software; you can redistribute it and/or modify it under</span> | |
27 14 <span class="c"># the terms of the GNU Lesser General Public License as published by the Free</span> | |
28 15 <span class="c"># Software Foundation; either version 3 of the License, or (at your option) any</span> | |
29 16 <span class="c"># later version.</span> | |
30 17 <span class="c">#</span> | |
31 18 <span class="c"># MayaChemTools is distributed in the hope that it will be useful, but without</span> | |
32 19 <span class="c"># any warranty; without even the implied warranty of merchantability of fitness</span> | |
33 20 <span class="c"># for a particular purpose. See the GNU Lesser General Public License for more</span> | |
34 21 <span class="c"># details.</span> | |
35 22 <span class="c">#</span> | |
36 23 <span class="c"># You should have received a copy of the GNU Lesser General Public License</span> | |
37 24 <span class="c"># along with MayaChemTools; if not, see <http://www.gnu.org/licenses/> or</span> | |
38 25 <span class="c"># write to the Free Software Foundation Inc., 59 Temple Place, Suite 330,</span> | |
39 26 <span class="c"># Boston, MA, 02111-1307, USA.</span> | |
40 27 <span class="c">#</span> | |
41 28 | |
42 29 <span class="k">use</span> <span class="w">strict</span><span class="sc">;</span> | |
43 30 <span class="k">use</span> <span class="w">Carp</span><span class="sc">;</span> | |
44 31 <span class="k">use</span> <span class="w">Exporter</span><span class="sc">;</span> | |
45 32 <span class="k">use</span> <span class="w">Scalar::Util</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
46 33 <span class="k">use</span> <span class="w">Vector</span><span class="sc">;</span> | |
47 34 | |
48 35 <span class="k">use</span> <span class="w">vars</span> <span class="q">qw(@ISA @EXPORT @EXPORT_OK %EXPORT_TAGS)</span><span class="sc">;</span> | |
49 36 | |
50 37 <span class="i">@ISA</span> = <span class="q">qw(Exporter)</span><span class="sc">;</span> | |
51 38 <span class="i">@EXPORT</span> = <span class="q">qw(IsMatrix IdentityMatrix NewFromRows NewFromColumns NewFromDiagonal UnitMatrix ZeroMatrix)</span><span class="sc">;</span> | |
52 39 <span class="i">@EXPORT_OK</span> = <span class="q">qw(SetValuePrintFormat)</span><span class="sc">;</span> | |
53 40 | |
54 41 <span class="i">%EXPORT_TAGS</span> = <span class="s">(</span> | |
55 42 <span class="w">all</span> <span class="cm">=></span> <span class="s">[</span><span class="i">@EXPORT</span><span class="cm">,</span> <span class="i">@EXPORT_OK</span><span class="s">]</span> | |
56 43 <span class="s">)</span><span class="sc">;</span> | |
57 44 | |
58 45 <span class="c"># Setup class variables...</span> | |
59 46 <span class="k">my</span><span class="s">(</span><span class="i">$ClassName</span><span class="cm">,</span> <span class="i">$ValueFormat</span><span class="cm">,</span> <span class="i">$MatrixPrintStyle</span><span class="s">)</span><span class="sc">;</span> | |
60 47 <span class="i">_InitializeClass</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
61 48 | |
62 49 <span class="c">#</span> | |
63 50 <span class="c"># Using the following explicity overloaded operators, Perl automatically generates methods</span> | |
64 51 <span class="c"># for operations with no explicitly defined methods. Autogenerated methods are possible for</span> | |
65 52 <span class="c"># these operators:</span> | |
66 53 <span class="c">#</span> | |
67 54 <span class="c"># o Arithmetic operators: += -= *= /= **= %= ++ -- x= .=</span> | |
68 55 <span class="c"># o Increment and decrement: ++ --</span> | |
69 56 <span class="c">#</span> | |
70 57 <span class="c"># 'fallback' is set to 'false' to raise exception for all other operators.</span> | |
71 58 <span class="c">#</span> | |
72 59 <span class="k">use</span> <span class="w">overload</span> <span class="q">'""'</span> <span class="cm">=></span> <span class="q">'StringifyMatrix'</span><span class="cm">,</span> | |
73 60 | |
74 61 <span class="q">'@{}'</span> <span class="cm">=></span> <span class="q">'_MatrixToArrayOperator'</span><span class="cm">,</span> | |
75 62 | |
76 63 <span class="q">'+'</span> <span class="cm">=></span> <span class="q">'_MatrixAdditionOperator'</span><span class="cm">,</span> | |
77 64 <span class="q">'-'</span> <span class="cm">=></span> <span class="q">'_MatrixSubtractionOperator'</span><span class="cm">,</span> | |
78 65 <span class="q">'*'</span> <span class="cm">=></span> <span class="q">'_MatrixMultiplicationOperator'</span><span class="cm">,</span> | |
79 66 <span class="q">'/'</span> <span class="cm">=></span> <span class="q">'_MatrixDivisionOperator'</span><span class="cm">,</span> | |
80 67 <span class="q">'**'</span> <span class="cm">=></span> <span class="q">'_MatrixExponentiationOperator'</span><span class="cm">,</span> | |
81 68 <span class="q">'%'</span> <span class="cm">=></span> <span class="q">'_MatrixModulusOperator'</span><span class="cm">,</span> | |
82 69 | |
83 70 <span class="q">'bool'</span> <span class="cm">=></span> <span class="q">'_MatrixBooleanOperator'</span><span class="cm">,</span> | |
84 71 <span class="q">'!'</span> <span class="cm">=></span> <span class="q">'_MatrixNotBooleanOperator'</span><span class="cm">,</span> | |
85 72 | |
86 73 <span class="q">'=='</span> <span class="cm">=></span> <span class="q">'_MatrixEqualOperator'</span><span class="cm">,</span> | |
87 74 <span class="q">'!='</span> <span class="cm">=></span> <span class="q">'_MatrixNotEqualOperator'</span><span class="cm">,</span> | |
88 75 <span class="q">'<'</span> <span class="cm">=></span> <span class="q">'_MatrixLessThanOperator'</span><span class="cm">,</span> | |
89 76 <span class="q">'<='</span> <span class="cm">=></span> <span class="q">'_MatrixLessThanEqualOperator'</span><span class="cm">,</span> | |
90 77 <span class="q">'>'</span> <span class="cm">=></span> <span class="q">'_MatrixGreatarThanOperator'</span><span class="cm">,</span> | |
91 78 <span class="q">'>='</span> <span class="cm">=></span> <span class="q">'_MatrixGreatarThanEqualOperator'</span><span class="cm">,</span> | |
92 79 | |
93 80 <span class="q">'neg'</span> <span class="cm">=></span> <span class="q">'_MatrixNegativeValueOperator'</span><span class="cm">,</span> | |
94 81 | |
95 82 <span class="q">'abs'</span> <span class="cm">=></span> <span class="q">'_MatrixAbsoluteValueOperator'</span><span class="cm">,</span> | |
96 83 <span class="q">'exp'</span> <span class="cm">=></span> <span class="q">'_MatrixExpNaturalBaseOperator'</span><span class="cm">,</span> | |
97 84 <span class="q">'log'</span> <span class="cm">=></span> <span class="q">'_MatrixLogNaturalBaseOperator'</span><span class="cm">,</span> | |
98 85 <span class="q">'sqrt'</span> <span class="cm">=></span> <span class="q">'_MatrixSquareRootOperator'</span><span class="cm">,</span> | |
99 86 <span class="q">'cos'</span> <span class="cm">=></span> <span class="q">'_MatrixCosineOperator'</span><span class="cm">,</span> | |
100 87 <span class="q">'sin'</span> <span class="cm">=></span> <span class="q">'_MatrixSineOperator'</span><span class="cm">,</span> | |
101 88 | |
102 89 <span class="q">'fallback'</span> <span class="cm">=></span> <span class="k">undef</span><span class="sc">;</span> | |
103 90 | |
104 91 <span class="c"># Class constructor...</span> | |
105 <a name="new-"></a> 92 <span class="k">sub </span><span class="m">new</span> <span class="s">{</span> | |
106 93 <span class="k">my</span><span class="s">(</span><span class="i">$Class</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
107 94 | |
108 95 <span class="c"># Initialize object...</span> | |
109 96 <span class="k">my</span> <span class="i">$This</span> = <span class="s">{</span><span class="s">}</span><span class="sc">;</span> | |
110 97 <span class="k">bless</span> <span class="i">$This</span><span class="cm">,</span> <span class="k">ref</span><span class="s">(</span><span class="i">$Class</span><span class="s">)</span> || <span class="i">$Class</span><span class="sc">;</span> | |
111 98 <span class="i">$This</span><span class="i">->_InitializeMatrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
112 99 | |
113 100 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
114 101 <span class="s">}</span> | |
115 102 | |
116 103 <span class="c"># Initialize object data...</span> | |
117 104 <span class="c">#</span> | |
118 <a name="_InitializeMatrix-"></a> 105 <span class="k">sub </span><span class="m">_InitializeMatrix</span> <span class="s">{</span> | |
119 106 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
120 107 | |
121 108 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span> && <span class="k">defined</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
122 109 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_InitializeMatrix: NumOfRows and NumOfCols must be specified..."</span><span class="sc">;</span> | |
123 110 <span class="s">}</span> | |
124 111 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="s">(</span><span class="i">$NumOfRows</span> > <span class="n">0</span><span class="s">)</span> && <span class="s">(</span><span class="i">$NumOfRows</span> > <span class="n">0</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
125 112 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_InitializeMatrix: NumOfRows and NumOfCols must be a positive number..."</span><span class="sc">;</span> | |
126 113 <span class="s">}</span> | |
127 114 <span class="c"># Initialize matrix elements to zero...</span> | |
128 115 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
129 116 | |
130 117 <span class="k">my</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">@EmptyRow</span><span class="s">)</span><span class="sc">;</span> | |
131 118 | |
132 119 <span class="i">@EmptyRow</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
133 120 <span class="i">@EmptyRow</span> = <span class="s">(</span><span class="q">'0'</span><span class="s">)</span> x <span class="i">$NumOfCols</span><span class="sc">;</span> | |
134 121 | |
135 122 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
136 123 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>]} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
137 124 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>]} = <span class="i">@EmptyRow</span><span class="sc">;</span> | |
138 125 <span class="s">}</span> | |
139 126 <span class="s">}</span> | |
140 127 | |
141 128 <span class="c"># Initialize class ...</span> | |
142 <a name="_InitializeClass-"></a> 129 <span class="k">sub </span><span class="m">_InitializeClass</span> <span class="s">{</span> | |
143 130 <span class="c">#Class name...</span> | |
144 131 <span class="i">$ClassName</span> = <span class="w">__PACKAGE__</span><span class="sc">;</span> | |
145 132 | |
146 133 <span class="c"># Print style for matrix rows during StringifyMatrix operation.</span> | |
147 134 <span class="c"># Possible values: AllRowsInOneLine, OneRowPerLine</span> | |
148 135 <span class="c">#</span> | |
149 136 <span class="i">$MatrixPrintStyle</span> = <span class="q">"AllRowsInOneLine"</span><span class="sc">;</span> | |
150 137 | |
151 138 <span class="c"># Print format for matrix values...</span> | |
152 139 <span class="i">$ValueFormat</span> = <span class="q">"%g"</span><span class="sc">;</span> | |
153 140 <span class="s">}</span> | |
154 141 | |
155 142 <span class="c"># Get matrix size...</span> | |
156 143 <span class="c">#</span> | |
157 <a name="GetSize-"></a> 144 <span class="k">sub </span><span class="m">GetSize</span> <span class="s">{</span> | |
158 145 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
159 146 | |
160 147 <span class="k">return</span> <span class="s">(</span><span class="i">$This</span><span class="i">->GetNumOfRows</span><span class="s">(</span><span class="s">)</span><span class="cm">,</span> <span class="i">$This</span><span class="i">->GetNumOfColumns</span><span class="s">(</span><span class="s">)</span><span class="s">)</span><span class="sc">;</span> | |
161 148 <span class="s">}</span> | |
162 149 | |
163 150 <span class="c"># Get matrix dimensions...</span> | |
164 151 <span class="c">#</span> | |
165 <a name="GetDimension-"></a> 152 <span class="k">sub </span><span class="m">GetDimension</span> <span class="s">{</span> | |
166 153 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
167 154 | |
168 155 <span class="k">return</span> <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
169 156 <span class="s">}</span> | |
170 157 | |
171 158 <span class="c"># Get number of rows in matrix</span> | |
172 159 <span class="c">#</span> | |
173 <a name="GetNumOfRows-"></a> 160 <span class="k">sub </span><span class="m">GetNumOfRows</span> <span class="s">{</span> | |
174 161 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
175 162 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span><span class="sc">;</span> | |
176 163 | |
177 164 <span class="c"># Size of row array...</span> | |
178 165 <span class="i">$NumOfRows</span> = <span class="i">$#</span>{<span class="i">$This</span>->{<span class="w">Values</span>}} + <span class="n">1</span><span class="sc">;</span> | |
179 166 | |
180 167 <span class="k">return</span> <span class="i">$NumOfRows</span><span class="sc">;</span> | |
181 168 <span class="s">}</span> | |
182 169 | |
183 170 <span class="c"># Get number of columns in matrix</span> | |
184 171 <span class="c">#</span> | |
185 <a name="GetNumOfColumns-"></a> 172 <span class="k">sub </span><span class="m">GetNumOfColumns</span> <span class="s">{</span> | |
186 173 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
187 174 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
188 175 | |
189 176 <span class="c"># Size of column array for first row assuming sizes of columns are same...</span> | |
190 177 <span class="i">$NumOfCols</span> = <span class="i">$#</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="n">0</span>]} + <span class="n">1</span><span class="sc">;</span> | |
191 178 | |
192 179 <span class="k">return</span> <span class="i">$NumOfCols</span><span class="sc">;</span> | |
193 180 <span class="s">}</span> | |
194 181 | |
195 182 <span class="c"># Get reference to array holding matrix values in order to directly manipulate these values...</span> | |
196 183 <span class="c">#</span> | |
197 <a name="GetMatrixValuesReference-"></a> 184 <span class="k">sub </span><span class="m">GetMatrixValuesReference</span> <span class="s">{</span> | |
198 185 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
199 186 | |
200 187 <span class="k">return</span> \<span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> | |
201 188 <span class="s">}</span> | |
202 189 | |
203 190 <span class="c"># Copy matrix...</span> | |
204 191 <span class="c">#</span> | |
205 <a name="Copy-"></a> 192 <span class="k">sub </span><span class="m">Copy</span> <span class="s">{</span> | |
206 193 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
207 194 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Matrix</span><span class="s">)</span><span class="sc">;</span> | |
208 195 | |
209 196 <span class="c"># Create a new matrix...</span> | |
210 197 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
211 198 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
212 199 | |
213 200 <span class="c"># Set matrix values...</span> | |
214 201 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
215 202 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
216 203 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
217 204 <span class="s">}</span> | |
218 205 <span class="s">}</span> | |
219 206 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
220 207 <span class="s">}</span> | |
221 208 | |
222 209 <span class="c"># Create a new matrix using rows specified in one of the following formats:</span> | |
223 210 <span class="c"># o List of vector objects</span> | |
224 211 <span class="c"># o References to list of values</span> | |
225 212 <span class="c"># o List of strings containing row values delimited by space</span> | |
226 213 <span class="c">#</span> | |
227 214 <span class="c"># Each row must contain the same number of values.</span> | |
228 215 <span class="c">#</span> | |
229 216 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
230 217 <span class="c"># object method.</span> | |
231 218 <span class="c">#</span> | |
232 <a name="NewFromRows-"></a> 219 <span class="k">sub </span><span class="m">NewFromRows</span> <span class="s">{</span> | |
233 220 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
234 221 | |
235 222 <span class="k">if</span> <span class="s">(</span><span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
236 223 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromRows'</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span><span class="sc">;</span> | |
237 224 <span class="s">}</span> | |
238 225 <span class="k">else</span> <span class="s">{</span> | |
239 226 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromRows'</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
240 227 <span class="s">}</span> | |
241 228 <span class="s">}</span> | |
242 229 | |
243 230 <span class="c"># Create a new matrix using columns specified in one of the following formats:</span> | |
244 231 <span class="c"># o List of vector objects</span> | |
245 232 <span class="c"># o References to list of values</span> | |
246 233 <span class="c"># o List of strings containing columns values delimited by space</span> | |
247 234 <span class="c">#</span> | |
248 235 <span class="c"># Each columns must contain the same number of values.</span> | |
249 236 <span class="c">#</span> | |
250 237 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
251 238 <span class="c"># object method.</span> | |
252 239 <span class="c">#</span> | |
253 <a name="NewFromColumns-"></a> 240 <span class="k">sub </span><span class="m">NewFromColumns</span> <span class="s">{</span> | |
254 241 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
255 242 | |
256 243 <span class="k">if</span> <span class="s">(</span><span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
257 244 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromColumns'</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span><span class="sc">;</span> | |
258 245 <span class="s">}</span> | |
259 246 <span class="k">else</span> <span class="s">{</span> | |
260 247 <span class="k">return</span> <span class="i">_NewFromRowsOrColumns</span><span class="s">(</span><span class="q">'FromColumns'</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
261 248 <span class="s">}</span> | |
262 249 <span class="s">}</span> | |
263 250 | |
264 251 <span class="c"># Create a new matrix using diagonal values specified in one of the following formats:</span> | |
265 252 <span class="c"># o A vector object</span> | |
266 253 <span class="c"># o Reference to list of values</span> | |
267 254 <span class="c"># o Strings containing diagonal values delimited by space</span> | |
268 255 <span class="c">#</span> | |
269 256 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
270 257 <span class="c"># object method.</span> | |
271 258 <span class="c">#</span> | |
272 <a name="NewFromDiagonal-"></a> 259 <span class="k">sub </span><span class="m">NewFromDiagonal</span> <span class="s">{</span> | |
273 260 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">@OtherParamaters</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
274 261 | |
275 262 <span class="k">if</span> <span class="s">(</span><span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
276 263 <span class="k">return</span> <span class="i">_NewFromDiagonal</span><span class="s">(</span><span class="i">@OtherParamaters</span><span class="s">)</span><span class="sc">;</span> | |
277 264 <span class="s">}</span> | |
278 265 <span class="k">else</span> <span class="s">{</span> | |
279 266 <span class="k">return</span> <span class="i">_NewFromDiagonal</span><span class="s">(</span><span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
280 267 <span class="s">}</span> | |
281 268 <span class="s">}</span> | |
282 269 | |
283 270 <span class="c"># Create a new matrix using diagonal values specified in one of the following formats:</span> | |
284 271 <span class="c"># o A vector object</span> | |
285 272 <span class="c"># o Reference to list of values</span> | |
286 273 <span class="c"># o Strings containing diagonal values delimited by space</span> | |
287 274 <span class="c">#</span> | |
288 <a name="_NewFromDiagonal-"></a> 275 <span class="k">sub </span><span class="m">_NewFromDiagonal</span> <span class="s">{</span> | |
289 276 <span class="k">my</span><span class="s">(</span><span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
290 277 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="cm">,</span> <span class="i">$DiagonalValuesRef</span><span class="s">)</span><span class="sc">;</span> | |
291 278 | |
292 279 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}::_NewFromDiagonal"</span><span class="sc">;</span> | |
293 280 <span class="k">if</span> <span class="s">(</span>!<span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span> <span class="s">{</span> | |
294 281 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: No diagonal values specified..."</span><span class="sc">;</span> | |
295 282 <span class="s">}</span> | |
296 283 | |
297 284 <span class="c"># Collect specified diagonal values...</span> | |
298 285 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">1</span><span class="sc">;</span> | |
299 286 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span><span class="sc">;</span> | |
300 287 <span class="i">$DiagonalValuesRef</span> = <span class="i">$ValuesRefs</span>->[<span class="n">0</span>]<span class="sc">;</span> | |
301 288 | |
302 289 <span class="c"># Create a new matrix...</span> | |
303 290 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
304 291 | |
305 292 <span class="i">$NumOfRows</span> = <span class="i">@</span>{<span class="i">$DiagonalValuesRef</span>}<span class="sc">;</span> | |
306 293 <span class="i">$NumOfCols</span> = <span class="i">$NumOfRows</span><span class="sc">;</span> | |
307 294 | |
308 295 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
309 296 | |
310 297 <span class="c"># Set diagonal values...</span> | |
311 298 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
312 299 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$RowIndex</span>] = <span class="i">$DiagonalValuesRef</span>->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
313 300 <span class="s">}</span> | |
314 301 | |
315 302 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
316 303 <span class="s">}</span> | |
317 304 | |
318 305 <span class="c"># Create a new matrix using rows or columns specified in one of the following formats:</span> | |
319 306 <span class="c"># o List of vector objects</span> | |
320 307 <span class="c"># o References to list of values</span> | |
321 308 <span class="c"># o List of strings containing row values delimited by space</span> | |
322 309 <span class="c">#</span> | |
323 310 <span class="c"># Each row or column must contain the same number of values.</span> | |
324 311 <span class="c">#</span> | |
325 <a name="_NewFromRowsOrColumns-"></a> 312 <span class="k">sub </span><span class="m">_NewFromRowsOrColumns</span> <span class="s">{</span> | |
326 313 <span class="k">my</span><span class="s">(</span><span class="i">$Mode</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
327 314 | |
328 315 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> !~ <span class="q">/^(FromRows|FromColumns)$/i</span><span class="s">)</span> <span class="s">{</span> | |
329 316 <span class="w">croak</span> <span class="q">"Error: ${ClassName}::_NewFromRowsOrColumns: Unknown mode: $Mode..."</span><span class="sc">;</span> | |
330 317 <span class="s">}</span> | |
331 318 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="s">)</span><span class="sc">;</span> | |
332 319 | |
333 320 <span class="c"># Retrieve information about specified values and make sure similar number of values</span> | |
334 321 <span class="c"># are specified for each row or column...</span> | |
335 322 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^FromRows$/i</span><span class="s">)</span> <span class="s">{</span> | |
336 323 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}::_NewFromRows"</span><span class="sc">;</span> | |
337 324 <span class="s">}</span> | |
338 325 <span class="k">else</span> <span class="s">{</span> | |
339 326 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}::_NewFromColumns"</span><span class="sc">;</span> | |
340 327 <span class="s">}</span> | |
341 328 <span class="i">$CheckSizes</span> = <span class="n">1</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">0</span><span class="sc">;</span> | |
342 329 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
343 330 | |
344 331 <span class="c"># Create a new matrix...</span> | |
345 332 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$RowMode</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
346 333 | |
347 334 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^FromRows$/i</span><span class="s">)</span> <span class="s">{</span> | |
348 335 <span class="i">$NumOfRows</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ValuesRefs</span>}<span class="sc">;</span> | |
349 336 <span class="i">$NumOfCols</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ValuesRefs</span>->[<span class="n">0</span>]}<span class="sc">;</span> | |
350 337 <span class="i">$RowMode</span> = <span class="n">1</span><span class="sc">;</span> | |
351 338 <span class="s">}</span> | |
352 339 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^FromColumns$/i</span><span class="s">)</span> <span class="s">{</span> | |
353 340 <span class="i">$NumOfRows</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ValuesRefs</span>->[<span class="n">0</span>]}<span class="sc">;</span> | |
354 341 <span class="i">$NumOfCols</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ValuesRefs</span>}<span class="sc">;</span> | |
355 342 <span class="i">$RowMode</span> = <span class="n">0</span><span class="sc">;</span> | |
356 343 <span class="s">}</span> | |
357 344 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
358 345 | |
359 346 <span class="c"># Setup matrix values...</span> | |
360 347 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
361 348 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
362 349 <span class="i">$Value</span> = <span class="i">$RowMode</span> ? <span class="i">$ValuesRefs</span>->[<span class="i">$RowIndex</span>]->[<span class="i">$ColIndex</span>]<span class="co">:</span> <span class="i">$ValuesRefs</span>->[<span class="i">$ColIndex</span>]->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
363 350 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$Value</span><span class="sc">;</span> | |
364 351 <span class="s">}</span> | |
365 352 <span class="s">}</span> | |
366 353 | |
367 354 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
368 355 <span class="s">}</span> | |
369 356 | |
370 357 <span class="c"># Process specified matrix values in any of the following supported formats:</span> | |
371 358 <span class="c">#</span> | |
372 359 <span class="c"># o List of vector objects</span> | |
373 360 <span class="c"># o References to list of values</span> | |
374 361 <span class="c"># o List of strings containing row values delimited by space</span> | |
375 362 <span class="c">#</span> | |
376 363 <span class="c"># And return a reference to an array containing references to arrays with specified values.</span> | |
377 364 <span class="c">#</span> | |
378 365 <span class="c"># Value of CombineValuesStatus determines whether all the values specified are combined</span> | |
379 366 <span class="c"># into one array and return its reference as the only entry in the array being returned.</span> | |
380 367 <span class="c">#</span> | |
381 <a name="_ProcessSpecifiedMatrixValues-"></a> 368 <span class="k">sub </span><span class="m">_ProcessSpecifiedMatrixValues</span> <span class="s">{</span> | |
382 369 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizesStatus</span><span class="cm">,</span> <span class="i">$CombineValuesStatus</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
383 370 <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="cm">,</span> <span class="i">$TypeOfValue</span><span class="cm">,</span> <span class="i">@ValuesRefs</span><span class="s">)</span><span class="sc">;</span> | |
384 371 | |
385 372 <span class="i">@ValuesRefs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
386 373 <span class="k">if</span> <span class="s">(</span>!<span class="i">@SpecifiedValues</span><span class="s">)</span> <span class="s">{</span> | |
387 374 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: No values specified..."</span><span class="sc">;</span> | |
388 375 <span class="s">}</span> | |
389 376 | |
390 377 <span class="c"># Collect values...</span> | |
391 378 <span class="k">for</span> <span class="i">$Value</span> <span class="s">(</span><span class="i">@SpecifiedValues</span><span class="s">)</span> <span class="s">{</span> | |
392 379 <span class="i">$TypeOfValue</span> = <span class="k">ref</span> <span class="i">$Value</span><span class="sc">;</span> | |
393 380 | |
394 381 <span class="k">if</span> <span class="s">(</span><span class="i">Vector::IsVector</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
395 382 <span class="c"># Feference to vector object...</span> | |
396 383 <span class="k">my</span><span class="s">(</span><span class="i">$ValuesRef</span><span class="s">)</span><span class="sc">;</span> | |
397 384 <span class="i">$ValuesRef</span> = <span class="i">$Value</span><span class="i">->GetValues</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
398 385 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$ValuesRef</span>}<span class="s">)</span> <span class="s">{</span> | |
399 386 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Specified vector object must contain some values..."</span><span class="sc">;</span> | |
400 387 <span class="s">}</span> | |
401 388 <span class="k">push</span> <span class="i">@ValuesRefs</span><span class="cm">,</span> <span class="i">$ValuesRef</span><span class="sc">;</span> | |
402 389 <span class="s">}</span> | |
403 390 <span class="k">elsif</span> <span class="s">(</span><span class="i">$TypeOfValue</span> =~ <span class="q">/^ARRAY/</span><span class="s">)</span> <span class="s">{</span> | |
404 391 <span class="c"># Refernece to an array...</span> | |
405 392 <span class="k">if</span> <span class="s">(</span>!<span class="i">@</span>{<span class="i">$Value</span>}<span class="s">)</span> <span class="s">{</span> | |
406 393 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Specified array reference must contain some values..."</span><span class="sc">;</span> | |
407 394 <span class="s">}</span> | |
408 395 <span class="k">push</span> <span class="i">@ValuesRefs</span><span class="cm">,</span> <span class="i">$Value</span><span class="sc">;</span> | |
409 396 <span class="s">}</span> | |
410 397 <span class="k">elsif</span> <span class="s">(</span><span class="i">$TypeOfValue</span> <span class="k">eq</span> <span class="q">''</span><span class="s">)</span> <span class="s">{</span> | |
411 398 <span class="c"># String value...</span> | |
412 399 <span class="k">my</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
413 400 <span class="i">@Values</span> = <span class="k">split</span><span class="s">(</span><span class="q">' '</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
414 401 <span class="k">if</span> <span class="s">(</span>!<span class="i">@Values</span><span class="s">)</span> <span class="s">{</span> | |
415 402 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Specified string must contain some values..."</span><span class="sc">;</span> | |
416 403 <span class="s">}</span> | |
417 404 <span class="k">push</span> <span class="i">@ValuesRefs</span><span class="cm">,</span> \<span class="i">@Values</span><span class="sc">;</span> | |
418 405 <span class="s">}</span> | |
419 406 <span class="k">else</span> <span class="s">{</span> | |
420 407 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Value format, $TypeOfValue, of a specified value to be added to matrix object is not supported..."</span><span class="sc">;</span> | |
421 408 <span class="s">}</span> | |
422 409 <span class="s">}</span> | |
423 410 | |
424 411 <span class="c"># Combine all specified values into one array...</span> | |
425 412 <span class="k">if</span> <span class="s">(</span><span class="i">$CombineValuesStatus</span><span class="s">)</span> <span class="s">{</span> | |
426 413 <span class="k">my</span><span class="s">(</span><span class="i">$ValuesRef</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
427 414 | |
428 415 <span class="i">@Values</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
429 416 <span class="k">for</span> <span class="i">$ValuesRef</span> <span class="s">(</span><span class="i">@ValuesRefs</span><span class="s">)</span> <span class="s">{</span> | |
430 417 <span class="k">push</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$ValuesRef</span>}<span class="sc">;</span> | |
431 418 <span class="s">}</span> | |
432 419 <span class="i">@ValuesRefs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
433 420 <span class="k">push</span> <span class="i">@ValuesRefs</span><span class="cm">,</span> \<span class="i">@Values</span><span class="sc">;</span> | |
434 421 <span class="s">}</span> | |
435 422 | |
436 423 <span class="c"># Make sure reference to all specified value arrays contain the same number of values...</span> | |
437 424 <span class="k">if</span> <span class="s">(</span><span class="i">$CheckSizesStatus</span><span class="s">)</span> <span class="s">{</span> | |
438 425 <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$FirstValueSize</span><span class="s">)</span><span class="sc">;</span> | |
439 426 <span class="i">$FirstValueSize</span> = <span class="i">$#</span>{<span class="i">$ValuesRefs</span>[<span class="n">0</span>]}<span class="sc">;</span> | |
440 427 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">1</span> .. <span class="i">$#ValuesRefs</span><span class="s">)</span> <span class="s">{</span> | |
441 428 <span class="k">if</span> <span class="s">(</span><span class="i">$FirstValueSize</span> != <span class="i">$#</span>{<span class="i">$ValuesRefs</span>[<span class="i">$Index</span>]}<span class="s">)</span> <span class="s">{</span> | |
442 429 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of values in each specified value type to be added to matrix object must be same..."</span><span class="sc">;</span> | |
443 430 <span class="s">}</span> | |
444 431 <span class="s">}</span> | |
445 432 <span class="s">}</span> | |
446 433 | |
447 434 <span class="k">return</span> \<span class="i">@ValuesRefs</span><span class="sc">;</span> | |
448 435 <span class="s">}</span> | |
449 436 | |
450 437 <span class="c"># Create a new zero matrix of specified size or default size of 3 x 3.</span> | |
451 438 <span class="c">#</span> | |
452 439 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
453 440 <span class="c"># object method.</span> | |
454 441 <span class="c">#</span> | |
455 <a name="ZeroMatrix-"></a> 442 <span class="k">sub </span><span class="m">ZeroMatrix (;$$$)</span> <span class="s">{</span> | |
456 443 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
457 444 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$Matrix</span><span class="s">)</span><span class="sc">;</span> | |
458 445 | |
459 446 <span class="i">$This</span> = <span class="k">undef</span><span class="sc">;</span> | |
460 447 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span> && <span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
461 448 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span><span class="sc">;</span> | |
462 449 <span class="s">}</span> | |
463 450 <span class="k">else</span> <span class="s">{</span> | |
464 451 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="k">undef</span><span class="cm">,</span> <span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
465 452 <span class="s">}</span> | |
466 453 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span> && <span class="k">defined</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="s">)</span> ? <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> <span class="co">:</span> <span class="s">(</span><span class="n">3</span><span class="cm">,</span> <span class="n">3</span><span class="s">)</span><span class="sc">;</span> | |
467 454 | |
468 455 <span class="c"># Set up a new zero matrix</span> | |
469 456 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
470 457 | |
471 458 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
472 459 <span class="s">}</span> | |
473 460 | |
474 461 <span class="c"># Create a new unit matrix of specified size or default size of 3 x 3.</span> | |
475 462 <span class="c">#</span> | |
476 463 <span class="c"># This functionality can be either invoked as a class function or an</span> | |
477 464 <span class="c"># object method.</span> | |
478 465 <span class="c">#</span> | |
479 <a name="UnitMatrix-"></a> 466 <span class="k">sub </span><span class="m">UnitMatrix (;$$$)</span> <span class="s">{</span> | |
480 467 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
481 468 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
482 469 | |
483 470 <span class="i">$This</span> = <span class="k">undef</span><span class="sc">;</span> | |
484 471 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span> && <span class="i">IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
485 472 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span><span class="sc">;</span> | |
486 473 <span class="s">}</span> | |
487 474 <span class="k">else</span> <span class="s">{</span> | |
488 475 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="k">undef</span><span class="cm">,</span> <span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
489 476 <span class="s">}</span> | |
490 477 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span> && <span class="k">defined</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="s">)</span> ? <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> <span class="co">:</span> <span class="s">(</span><span class="n">3</span><span class="cm">,</span> <span class="n">3</span><span class="s">)</span><span class="sc">;</span> | |
491 478 | |
492 479 <span class="c"># Set up a new zero matrix</span> | |
493 480 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
494 481 | |
495 482 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfRows</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
496 483 <span class="w">carp</span> <span class="q">"Warning: ${ClassName}::UnitMatrix: Specified matrix, $NumOfRows x $NumOfCols, is not a square matrix..."</span><span class="sc">;</span> | |
497 484 <span class="s">}</span> | |
498 485 | |
499 486 <span class="c"># Initialize diagonal elements to 1...</span> | |
500 487 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
501 488 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$RowIndex</span>] = <span class="n">1.0</span><span class="sc">;</span> | |
502 489 <span class="s">}</span> | |
503 490 | |
504 491 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
505 492 <span class="s">}</span> | |
506 493 | |
507 494 <span class="c"># Identity matrix of specified size or size 3 x 3...</span> | |
508 495 <span class="c">#</span> | |
509 <a name="IdentityMatrix-"></a> 496 <span class="k">sub </span><span class="m">IdentityMatrix (;$$$)</span> <span class="s">{</span> | |
510 497 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
511 498 | |
512 499 <span class="k">return</span> <span class="i">UnitMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ThirdParameter</span><span class="s">)</span><span class="sc">;</span> | |
513 500 <span class="s">}</span> | |
514 501 | |
515 502 <span class="c"># Set all matrix values to 0s...</span> | |
516 503 <span class="c">#</span> | |
517 <a name="Zero-"></a> 504 <span class="k">sub </span><span class="m">Zero</span> <span class="s">{</span> | |
518 505 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
519 506 | |
520 507 <span class="k">return</span> <span class="i">$This</span><span class="i">->SetAllValues</span><span class="s">(</span><span class="n">0.0</span><span class="s">)</span><span class="sc">;</span> | |
521 508 <span class="s">}</span> | |
522 509 | |
523 510 <span class="c"># Set all matrix values to 1s...</span> | |
524 511 <span class="c">#</span> | |
525 <a name="One-"></a> 512 <span class="k">sub </span><span class="m">One</span> <span class="s">{</span> | |
526 513 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
527 514 | |
528 515 <span class="k">return</span> <span class="i">$This</span><span class="i">->SetAllValues</span><span class="s">(</span><span class="n">1.0</span><span class="s">)</span><span class="sc">;</span> | |
529 516 <span class="s">}</span> | |
530 517 | |
531 518 <span class="c"># Get a matrix value with row and column indicies starting from 0...</span> | |
532 519 <span class="c">#</span> | |
533 <a name="GetValue-"></a> 520 <span class="k">sub </span><span class="m">GetValue</span> <span class="s">{</span> | |
534 521 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$SkipIndexCheck</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
535 522 | |
536 523 <span class="k">if</span> <span class="s">(</span><span class="i">$SkipIndexCheck</span><span class="s">)</span> <span class="s">{</span> | |
537 524 <span class="i">$This</span><span class="i">->_GetValue</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
538 525 <span class="s">}</span> | |
539 526 | |
540 527 <span class="i">$This</span><span class="i">->_ValidateRowAndColumnIndicies</span><span class="s">(</span><span class="q">"Error: ${ClassName}::GetValue"</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
541 528 | |
542 529 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetValue</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
543 530 <span class="s">}</span> | |
544 531 | |
545 532 <span class="c"># Get a matrix value...</span> | |
546 533 <span class="c">#</span> | |
547 <a name="_GetValue-"></a> 534 <span class="k">sub </span><span class="m">_GetValue</span> <span class="s">{</span> | |
548 535 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
549 536 | |
550 537 <span class="k">return</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
551 538 <span class="s">}</span> | |
552 539 | |
553 540 <span class="c"># Set a matrix value with row and column indicies starting from 0...</span> | |
554 541 <span class="c">#</span> | |
555 <a name="SetValue-"></a> 542 <span class="k">sub </span><span class="m">SetValue</span> <span class="s">{</span> | |
556 543 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="cm">,</span> <span class="i">$SkipIndexCheck</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
557 544 | |
558 545 <span class="k">if</span> <span class="s">(</span><span class="i">$SkipIndexCheck</span><span class="s">)</span> <span class="s">{</span> | |
559 546 <span class="i">$This</span><span class="i">->_SetValue</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
560 547 <span class="s">}</span> | |
561 548 | |
562 549 <span class="i">$This</span><span class="i">->_ValidateRowAndColumnIndicies</span><span class="s">(</span><span class="q">"Error: ${ClassName}::SetValue"</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
563 550 | |
564 551 <span class="k">return</span> <span class="i">$This</span><span class="i">->_SetValue</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
565 552 <span class="s">}</span> | |
566 553 | |
567 554 <span class="c"># Set a matrix value...</span> | |
568 555 <span class="c">#</span> | |
569 <a name="_SetValue-"></a> 556 <span class="k">sub </span><span class="m">_SetValue</span> <span class="s">{</span> | |
570 557 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
571 558 | |
572 559 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$Value</span><span class="sc">;</span> | |
573 560 | |
574 561 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
575 562 <span class="s">}</span> | |
576 563 | |
577 564 <span class="c"># Set all matrix values to a specified value...</span> | |
578 565 <span class="c">#</span> | |
579 <a name="SetAllValues-"></a> 566 <span class="k">sub </span><span class="m">SetAllValues</span> <span class="s">{</span> | |
580 567 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
581 568 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
582 569 | |
583 570 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
584 571 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
585 572 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
586 573 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$Value</span><span class="sc">;</span> | |
587 574 <span class="s">}</span> | |
588 575 <span class="s">}</span> | |
589 576 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
590 577 <span class="s">}</span> | |
591 578 | |
592 579 <span class="c"># Set values of a row in a matrix value with row index starting from 0...</span> | |
593 580 <span class="c">#</span> | |
594 <a name="SetRowValues-"></a> 581 <span class="k">sub </span><span class="m">SetRowValues</span> <span class="s">{</span> | |
595 582 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
596 583 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="cm">,</span> <span class="i">$RowValuesRef</span><span class="cm">,</span> <span class="i">$NumOfRowValues</span><span class="s">)</span><span class="sc">;</span> | |
597 584 | |
598 585 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->SetRowValues"</span><span class="sc">;</span> | |
599 586 | |
600 587 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
601 588 <span class="i">$This</span><span class="i">->_ValidateRowIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
602 589 | |
603 590 <span class="c"># Collect specified row values...</span> | |
604 591 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">1</span><span class="sc">;</span> | |
605 592 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
606 593 <span class="i">$RowValuesRef</span> = <span class="i">$ValuesRefs</span>->[<span class="n">0</span>]<span class="sc">;</span> | |
607 594 | |
608 595 <span class="c"># Check number of specified row values...</span> | |
609 596 <span class="i">$NumOfRowValues</span> = <span class="i">@</span>{<span class="i">$RowValuesRef</span>}<span class="sc">;</span> | |
610 597 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfRowValues</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
611 598 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of specified row values, $NumOfRowValues, must be equal to number of row values, $NumOfCols, in matrix..."</span><span class="sc">;</span> | |
612 599 <span class="s">}</span> | |
613 600 | |
614 601 <span class="c"># Set row values...</span> | |
615 602 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRowValues</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
616 603 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$RowValuesRef</span>->[<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
617 604 <span class="s">}</span> | |
618 605 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
619 606 <span class="s">}</span> | |
620 607 | |
621 608 <span class="c"># Add new row values to a matrix...</span> | |
622 609 <span class="c">#</span> | |
623 <a name="AddRowValues-"></a> 610 <span class="k">sub </span><span class="m">AddRowValues</span> <span class="s">{</span> | |
624 611 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
625 612 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$RowValueRef</span><span class="cm">,</span> <span class="i">$RowValuesRefs</span><span class="cm">,</span> <span class="i">$NumOfNewRows</span><span class="cm">,</span> <span class="i">$NumOfNewCols</span><span class="s">)</span><span class="sc">;</span> | |
626 613 | |
627 614 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->AddRowValues"</span><span class="sc">;</span> | |
628 615 | |
629 616 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
630 617 | |
631 618 <span class="c"># Collect specified row values...</span> | |
632 619 <span class="i">$CheckSizes</span> = <span class="n">1</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">0</span><span class="sc">;</span> | |
633 620 <span class="i">$RowValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
634 621 | |
635 622 <span class="c"># Check number of specified row values...</span> | |
636 623 <span class="i">$NumOfNewRows</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$RowValuesRefs</span>}<span class="sc">;</span> | |
637 624 <span class="i">$NumOfNewCols</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$RowValuesRefs</span>->[<span class="n">0</span>]}<span class="sc">;</span> | |
638 625 | |
639 626 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfNewCols</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
640 627 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of values in each specified row, $NumOfNewCols, must be equal to number of row values, $NumOfCols, in matrix..."</span><span class="sc">;</span> | |
641 628 <span class="s">}</span> | |
642 629 | |
643 630 <span class="c"># Add each row to the matrix...</span> | |
644 631 <span class="i">$RowIndex</span> = <span class="i">$NumOfRows</span> - <span class="n">1</span><span class="sc">;</span> | |
645 632 <span class="k">for</span> <span class="i">$RowValueRef</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$RowValuesRefs</span>}<span class="s">)</span> <span class="s">{</span> | |
646 633 <span class="i">$RowIndex</span>++<span class="sc">;</span> | |
647 634 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>]} = <span class="i">@</span>{<span class="i">$RowValueRef</span>}<span class="sc">;</span> | |
648 635 <span class="s">}</span> | |
649 636 | |
650 637 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
651 638 <span class="s">}</span> | |
652 639 | |
653 640 <span class="c"># Get values of a row in matrix as an array. In scalar context, number of row</span> | |
654 641 <span class="c"># values is returned...</span> | |
655 642 <span class="c">#</span> | |
656 <a name="GetRowValues-"></a> 643 <span class="k">sub </span><span class="m">GetRowValues</span> <span class="s">{</span> | |
657 644 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
658 645 | |
659 646 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsArray'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
660 647 <span class="s">}</span> | |
661 648 | |
662 649 <span class="c"># Get values of a row in matrix as a vector object...</span> | |
663 650 <span class="c">#</span> | |
664 <a name="GetRowValuesAsVector-"></a> 651 <span class="k">sub </span><span class="m">GetRowValuesAsVector</span> <span class="s">{</span> | |
665 652 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
666 653 | |
667 654 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsVector'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
668 655 <span class="s">}</span> | |
669 656 | |
670 657 <span class="c"># Get values of a row as row matrix object...</span> | |
671 658 <span class="c">#</span> | |
672 <a name="GetRowValuesAsRowMatrix-"></a> 659 <span class="k">sub </span><span class="m">GetRowValuesAsRowMatrix</span> <span class="s">{</span> | |
673 660 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
674 661 | |
675 662 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsRowMatrix'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
676 663 <span class="s">}</span> | |
677 664 | |
678 665 <span class="c"># Get values of a row as column matrix object...</span> | |
679 666 <span class="c">#</span> | |
680 <a name="GetRowValuesAsColumnMatrix-"></a> 667 <span class="k">sub </span><span class="m">GetRowValuesAsColumnMatrix</span> <span class="s">{</span> | |
681 668 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
682 669 | |
683 670 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsColumnMatrix'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
684 671 <span class="s">}</span> | |
685 672 | |
686 673 <span class="c"># Get values of a row in matrix as a space delimited string...</span> | |
687 674 <span class="c">#</span> | |
688 <a name="GetRowValuesAsString-"></a> 675 <span class="k">sub </span><span class="m">GetRowValuesAsString</span> <span class="s">{</span> | |
689 676 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
690 677 | |
691 678 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsString'</span><span class="cm">,</span> <span class="q">'FromRow'</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
692 679 <span class="s">}</span> | |
693 680 | |
694 681 <span class="c"># Set values of a column in a matrix value with row index starting from 0...</span> | |
695 682 <span class="c">#</span> | |
696 <a name="SetColumnValues-"></a> 683 <span class="k">sub </span><span class="m">SetColumnValues</span> <span class="s">{</span> | |
697 684 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
698 685 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="cm">,</span> <span class="i">$ColValuesRef</span><span class="cm">,</span> <span class="i">$NumOfColValues</span><span class="s">)</span><span class="sc">;</span> | |
699 686 | |
700 687 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->SetColumnValues"</span><span class="sc">;</span> | |
701 688 | |
702 689 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
703 690 <span class="i">$This</span><span class="i">->_ValidateColumnIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
704 691 | |
705 692 <span class="c"># Collect specified row values...</span> | |
706 693 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">1</span><span class="sc">;</span> | |
707 694 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
708 695 <span class="i">$ColValuesRef</span> = <span class="i">$ValuesRefs</span>->[<span class="n">0</span>]<span class="sc">;</span> | |
709 696 | |
710 697 <span class="c"># Check number of specified col values...</span> | |
711 698 <span class="i">$NumOfColValues</span> = <span class="i">@</span>{<span class="i">$ColValuesRef</span>}<span class="sc">;</span> | |
712 699 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfColValues</span> != <span class="i">$NumOfRows</span><span class="s">)</span> <span class="s">{</span> | |
713 700 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of specified col values, $NumOfColValues, must be equal to number of column values, $NumOfRows, in matrix..."</span><span class="sc">;</span> | |
714 701 <span class="s">}</span> | |
715 702 | |
716 703 <span class="c"># Set col values...</span> | |
717 704 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfColValues</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
718 705 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$ColValuesRef</span>->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
719 706 <span class="s">}</span> | |
720 707 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
721 708 <span class="s">}</span> | |
722 709 | |
723 710 <span class="c"># Add new column values to a matrix...</span> | |
724 711 <span class="c">#</span> | |
725 <a name="AddColumnValues-"></a> 712 <span class="k">sub </span><span class="m">AddColumnValues</span> <span class="s">{</span> | |
726 713 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
727 714 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ColValueRef</span><span class="cm">,</span> <span class="i">$ColValuesRefs</span><span class="cm">,</span> <span class="i">$NumOfNewRows</span><span class="cm">,</span> <span class="i">$NumOfNewCols</span><span class="s">)</span><span class="sc">;</span> | |
728 715 | |
729 716 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->AddColumnValues"</span><span class="sc">;</span> | |
730 717 | |
731 718 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
732 719 | |
733 720 <span class="c"># Collect specified column values...</span> | |
734 721 <span class="i">$CheckSizes</span> = <span class="n">1</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">0</span><span class="sc">;</span> | |
735 722 <span class="i">$ColValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedValues</span><span class="s">)</span><span class="sc">;</span> | |
736 723 | |
737 724 <span class="c"># Check number of specified column values...</span> | |
738 725 <span class="i">$NumOfNewCols</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ColValuesRefs</span>}<span class="sc">;</span> | |
739 726 <span class="i">$NumOfNewRows</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$ColValuesRefs</span>->[<span class="n">0</span>]}<span class="sc">;</span> | |
740 727 | |
741 728 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfNewRows</span> != <span class="i">$NumOfRows</span><span class="s">)</span> <span class="s">{</span> | |
742 729 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: Number of values in each specified column, $NumOfNewRows, must be equal to number of column values, $NumOfRows, in matrix..."</span><span class="sc">;</span> | |
743 730 <span class="s">}</span> | |
744 731 | |
745 732 <span class="c"># Add each column to the matrix...</span> | |
746 733 <span class="i">$ColIndex</span> = <span class="i">$NumOfCols</span> - <span class="n">1</span><span class="sc">;</span> | |
747 734 <span class="k">for</span> <span class="i">$ColValueRef</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$ColValuesRefs</span>}<span class="s">)</span> <span class="s">{</span> | |
748 735 <span class="i">$ColIndex</span>++<span class="sc">;</span> | |
749 736 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
750 737 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$ColValueRef</span>->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
751 738 <span class="s">}</span> | |
752 739 <span class="s">}</span> | |
753 740 | |
754 741 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
755 742 <span class="s">}</span> | |
756 743 | |
757 744 <span class="c"># Get values of a column in matrix as an array. In scalar context, number of column</span> | |
758 745 <span class="c"># values is returned...</span> | |
759 746 <span class="c">#</span> | |
760 <a name="GetColumnValues-"></a> 747 <span class="k">sub </span><span class="m">GetColumnValues</span> <span class="s">{</span> | |
761 748 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
762 749 | |
763 750 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsArray'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
764 751 <span class="s">}</span> | |
765 752 | |
766 753 <span class="c"># Get values of a column in matrix as a vector object...</span> | |
767 754 <span class="c">#</span> | |
768 <a name="GetColumnValuesAsVector-"></a> 755 <span class="k">sub </span><span class="m">GetColumnValuesAsVector</span> <span class="s">{</span> | |
769 756 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
770 757 | |
771 758 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsVector'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
772 759 <span class="s">}</span> | |
773 760 | |
774 761 <span class="c"># Get values of a column as row matrix object...</span> | |
775 762 <span class="c">#</span> | |
776 <a name="GetColumnValuesAsRowMatrix-"></a> 763 <span class="k">sub </span><span class="m">GetColumnValuesAsRowMatrix</span> <span class="s">{</span> | |
777 764 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
778 765 | |
779 766 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsRowMatrix'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
780 767 <span class="s">}</span> | |
781 768 | |
782 769 <span class="c"># Get values of a column as column matrix object...</span> | |
783 770 <span class="c">#</span> | |
784 <a name="GetColumnValuesAsColumnMatrix-"></a> 771 <span class="k">sub </span><span class="m">GetColumnValuesAsColumnMatrix</span> <span class="s">{</span> | |
785 772 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
786 773 | |
787 774 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsColumnMatrix'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
788 775 <span class="s">}</span> | |
789 776 | |
790 777 <span class="c"># Get values of a column in matrix as a space delimited string...</span> | |
791 778 <span class="c">#</span> | |
792 <a name="GetColumnValuesAsString-"></a> 779 <span class="k">sub </span><span class="m">GetColumnValuesAsString</span> <span class="s">{</span> | |
793 780 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
794 781 | |
795 782 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetRowOrColumnValues</span><span class="s">(</span><span class="q">'AsString'</span><span class="cm">,</span> <span class="q">'FromColumn'</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
796 783 <span class="s">}</span> | |
797 784 | |
798 785 <span class="c"># Get row or column values...</span> | |
799 786 <span class="c">#</span> | |
800 <a name="_GetRowOrColumnValues-"></a> 787 <span class="k">sub </span><span class="m">_GetRowOrColumnValues</span> <span class="s">{</span> | |
801 788 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="cm">,</span> <span class="i">$ValueMode</span><span class="cm">,</span> <span class="i">$ValueModeIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
802 789 | |
803 790 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> !~ <span class="q">/^(AsArray|AsVector|AsRowMatrix|AsColumnMatrix|AsString)$/i</span><span class="s">)</span> <span class="s">{</span> | |
804 791 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_GetRowOrColumnValues: Unknown mode, $Mode, specified..."</span><span class="sc">;</span> | |
805 792 <span class="s">}</span> | |
806 793 <span class="k">if</span> <span class="s">(</span><span class="i">$ValueMode</span> !~ <span class="q">/^(FromRow|FromColumn)$/i</span><span class="s">)</span> <span class="s">{</span> | |
807 794 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_GetRowOrColumnValues: Unknown value mode, $ValueMode, specified..."</span><span class="sc">;</span> | |
808 795 <span class="s">}</span> | |
809 796 | |
810 797 <span class="c"># Setup error message prefix...</span> | |
811 798 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="s">)</span><span class="sc">;</span> | |
812 799 | |
813 800 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"${ClassName}->_GetRowOrColumnValues"</span><span class="sc">;</span> | |
814 801 <span class="k">if</span> <span class="s">(</span><span class="i">$ValueMode</span> =~ <span class="q">/^FromRow$/i</span><span class="s">)</span> <span class="s">{</span> | |
815 802 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->GetRowValues${Mode}"</span><span class="sc">;</span> | |
816 803 <span class="s">}</span> | |
817 804 <span class="k">elsif</span> <span class="s">(</span><span class="i">$ValueMode</span> =~ <span class="q">/^FromColumn$/i</span><span class="s">)</span> <span class="s">{</span> | |
818 805 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->GetColumnValues${Mode}"</span><span class="sc">;</span> | |
819 806 <span class="s">}</span> | |
820 807 | |
821 808 <span class="c"># Validate specified index and collect values...</span> | |
822 809 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
823 810 | |
824 811 <span class="i">@Values</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
825 812 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
826 813 | |
827 814 <span class="k">if</span> <span class="s">(</span><span class="i">$ValueMode</span> =~ <span class="q">/^FromRow$/i</span><span class="s">)</span> <span class="s">{</span> | |
828 815 <span class="i">$RowIndex</span> = <span class="i">$ValueModeIndex</span><span class="sc">;</span> | |
829 816 <span class="i">$This</span><span class="i">->_ValidateRowIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
830 817 | |
831 818 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
832 819 <span class="k">push</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
833 820 <span class="s">}</span> | |
834 821 <span class="s">}</span> | |
835 822 <span class="k">elsif</span> <span class="s">(</span><span class="i">$ValueMode</span> =~ <span class="q">/^FromColumn$/i</span><span class="s">)</span> <span class="s">{</span> | |
836 823 <span class="i">$ColIndex</span> = <span class="i">$ValueModeIndex</span><span class="sc">;</span> | |
837 824 <span class="i">$This</span><span class="i">->_ValidateColumnIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
838 825 | |
839 826 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
840 827 <span class="k">push</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
841 828 <span class="s">}</span> | |
842 829 <span class="s">}</span> | |
843 830 | |
844 831 <span class="c"># Return values...</span> | |
845 832 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsRowMatrix$/i</span><span class="s">)</span> <span class="s">{</span> | |
846 833 <span class="k">return</span> <span class="i">NewFromRows</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
847 834 <span class="s">}</span> | |
848 835 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsColumnMatrix$/i</span><span class="s">)</span> <span class="s">{</span> | |
849 836 <span class="k">return</span> <span class="i">NewFromColumns</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
850 837 <span class="s">}</span> | |
851 838 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsVector$/i</span><span class="s">)</span> <span class="s">{</span> | |
852 839 <span class="k">return</span> <span class="i">new</span> <span class="i">Vector</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
853 840 <span class="s">}</span> | |
854 841 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsString$/i</span><span class="s">)</span> <span class="s">{</span> | |
855 842 <span class="k">return</span> <span class="k">join</span><span class="s">(</span><span class="q">' '</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
856 843 <span class="s">}</span> | |
857 844 <span class="k">else</span> <span class="s">{</span> | |
858 845 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@Values</span> <span class="co">:</span> <span class="k">scalar</span> <span class="i">@Values</span><span class="sc">;</span> | |
859 846 <span class="s">}</span> | |
860 847 <span class="s">}</span> | |
861 848 | |
862 849 <span class="c"># Set values of the diagonal in a square matrix...</span> | |
863 850 <span class="c">#</span> | |
864 <a name="SetDiagonalValues-"></a> 851 <span class="k">sub </span><span class="m">SetDiagonalValues</span> <span class="s">{</span> | |
865 852 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
866 853 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">$ValuesRefs</span><span class="cm">,</span> <span class="i">$NumOfDiagonalValues</span><span class="cm">,</span> <span class="i">$DiagonalValuesRef</span><span class="s">)</span><span class="sc">;</span> | |
867 854 | |
868 855 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"Error: ${ClassName}->SetDiagonalValues"</span><span class="sc">;</span> | |
869 856 <span class="k">if</span> <span class="s">(</span>!<span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span> <span class="s">{</span> | |
870 857 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: No diagonal values specified..."</span><span class="sc">;</span> | |
871 858 <span class="s">}</span> | |
872 859 | |
873 860 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
874 861 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfRows</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
875 862 <span class="w">croak</span> <span class="q">"Error: $ErrorMsgPrefix: Specified matrix, $NumOfRows x $NumOfCols, is not a square matrix..."</span><span class="sc">;</span> | |
876 863 <span class="s">}</span> | |
877 864 | |
878 865 <span class="c"># Collect specified diagonal values...</span> | |
879 866 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$CombineValues</span> = <span class="n">1</span><span class="sc">;</span> | |
880 867 <span class="i">$ValuesRefs</span> = <span class="i">_ProcessSpecifiedMatrixValues</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="cm">,</span> <span class="i">$CombineValues</span><span class="cm">,</span> <span class="i">@SpecifiedDiagonalValues</span><span class="s">)</span><span class="sc">;</span> | |
881 868 <span class="i">$DiagonalValuesRef</span> = <span class="i">$ValuesRefs</span>->[<span class="n">0</span>]<span class="sc">;</span> | |
882 869 <span class="i">$NumOfDiagonalValues</span> = <span class="i">@</span>{<span class="i">$DiagonalValuesRef</span>}<span class="sc">;</span> | |
883 870 | |
884 871 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfDiagonalValues</span> != <span class="i">$NumOfRows</span><span class="s">)</span> <span class="s">{</span> | |
885 872 <span class="w">croak</span> <span class="q">"Error: $ErrorMsgPrefix: Number of specified diagonal values, $NumOfDiagonalValues, must be equal to number of rows, $NumOfRows, in square matrix..."</span><span class="sc">;</span> | |
886 873 <span class="s">}</span> | |
887 874 | |
888 875 <span class="c"># Set diagonal values...</span> | |
889 876 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
890 877 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$RowIndex</span>] = <span class="i">$DiagonalValuesRef</span>->[<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
891 878 <span class="s">}</span> | |
892 879 | |
893 880 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
894 881 <span class="s">}</span> | |
895 882 | |
896 883 <span class="c"># Get values of the diagonal in a square matrix as an array. In scalar context, number of</span> | |
897 884 <span class="c"># diagonal values is returned...</span> | |
898 885 <span class="c">#</span> | |
899 <a name="GetDiagonalValues-"></a> 886 <span class="k">sub </span><span class="m">GetDiagonalValues</span> <span class="s">{</span> | |
900 887 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
901 888 | |
902 889 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsArray'</span><span class="s">)</span><span class="sc">;</span> | |
903 890 <span class="s">}</span> | |
904 891 | |
905 892 <span class="c"># Get values of the diagonal in a square matrix as vector object...</span> | |
906 893 <span class="c">#</span> | |
907 <a name="GetDiagonalValuesAsVector-"></a> 894 <span class="k">sub </span><span class="m">GetDiagonalValuesAsVector</span> <span class="s">{</span> | |
908 895 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
909 896 | |
910 897 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsVector'</span><span class="s">)</span><span class="sc">;</span> | |
911 898 <span class="s">}</span> | |
912 899 | |
913 900 <span class="c"># Get values of the diagonal in a square matrix as row matrix object</span> | |
914 901 <span class="c">#</span> | |
915 <a name="GetDiagonalValuesAsRowMatrix-"></a> 902 <span class="k">sub </span><span class="m">GetDiagonalValuesAsRowMatrix</span> <span class="s">{</span> | |
916 903 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
917 904 | |
918 905 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsRowMatrix'</span><span class="s">)</span><span class="sc">;</span> | |
919 906 <span class="s">}</span> | |
920 907 | |
921 908 <span class="c"># Get values of the diagonal in a square matrix as column matrix object</span> | |
922 909 <span class="c">#</span> | |
923 <a name="GetDiagonalValuesAsColumnMatrix-"></a> 910 <span class="k">sub </span><span class="m">GetDiagonalValuesAsColumnMatrix</span> <span class="s">{</span> | |
924 911 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
925 912 | |
926 913 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsColumnMatrix'</span><span class="s">)</span><span class="sc">;</span> | |
927 914 <span class="s">}</span> | |
928 915 | |
929 916 <span class="c"># Get values of the diagonal in a square matrix as a space delimited string...</span> | |
930 917 <span class="c">#</span> | |
931 <a name="GetDiagonalValuesAsString-"></a> 918 <span class="k">sub </span><span class="m">GetDiagonalValuesAsString</span> <span class="s">{</span> | |
932 919 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
933 920 | |
934 921 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetDiagonalValues</span><span class="s">(</span><span class="q">'AsString'</span><span class="s">)</span><span class="sc">;</span> | |
935 922 <span class="s">}</span> | |
936 923 | |
937 924 <span class="c"># Get diagonal values...</span> | |
938 <a name="_GetDiagonalValues-"></a> 925 <span class="k">sub </span><span class="m">_GetDiagonalValues</span> <span class="s">{</span> | |
939 926 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Mode</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
940 927 | |
941 928 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> !~ <span class="q">/^(AsArray|AsVector|AsRowMatrix|AsColumnMatrix|AsString)$/i</span><span class="s">)</span> <span class="s">{</span> | |
942 929 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_GetDiagonalValues: Unknown mode, $Mode, specified..."</span><span class="sc">;</span> | |
943 930 <span class="s">}</span> | |
944 931 | |
945 932 <span class="c"># Make sure it's a square matrix...</span> | |
946 933 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="s">)</span><span class="sc">;</span> | |
947 934 | |
948 935 <span class="i">$ErrorMsgPrefix</span> = <span class="q">"${ClassName}->_GetDiagonalValues${Mode}"</span><span class="sc">;</span> | |
949 936 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
950 937 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfRows</span> != <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
951 938 <span class="w">croak</span> <span class="q">"Error: $ErrorMsgPrefix: Specified matrix, $NumOfRows x $NumOfCols, is not a square matrix..."</span><span class="sc">;</span> | |
952 939 <span class="s">}</span> | |
953 940 | |
954 941 <span class="c"># Collect values...</span> | |
955 942 <span class="k">my</span><span class="s">(</span><span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
956 943 <span class="i">@Values</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
957 944 | |
958 945 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
959 946 <span class="k">push</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
960 947 <span class="s">}</span> | |
961 948 | |
962 949 <span class="c"># Return values...</span> | |
963 950 <span class="k">if</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsRowMatrix$/i</span><span class="s">)</span> <span class="s">{</span> | |
964 951 <span class="k">return</span> <span class="i">NewFromRows</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
965 952 <span class="s">}</span> | |
966 953 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsColumnMatrix$/i</span><span class="s">)</span> <span class="s">{</span> | |
967 954 <span class="k">return</span> <span class="i">NewFromColumns</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
968 955 <span class="s">}</span> | |
969 956 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsVector$/i</span><span class="s">)</span> <span class="s">{</span> | |
970 957 <span class="k">return</span> <span class="i">new</span> <span class="i">Vector</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
971 958 <span class="s">}</span> | |
972 959 <span class="k">elsif</span> <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^AsString$/i</span><span class="s">)</span> <span class="s">{</span> | |
973 960 <span class="k">return</span> <span class="k">join</span><span class="s">(</span><span class="q">' '</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> | |
974 961 <span class="s">}</span> | |
975 962 <span class="k">else</span> <span class="s">{</span> | |
976 963 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@Values</span> <span class="co">:</span> <span class="k">scalar</span> <span class="i">@Values</span><span class="sc">;</span> | |
977 964 <span class="s">}</span> | |
978 965 <span class="s">}</span> | |
979 966 | |
980 967 <span class="c"># Is it a square matrix?</span> | |
981 968 <span class="c">#</span> | |
982 <a name="IsSquare-"></a> 969 <span class="k">sub </span><span class="m">IsSquare</span> <span class="s">{</span> | |
983 970 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
984 971 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
985 972 | |
986 973 <span class="k">return</span> <span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$NumOfCols</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
987 974 <span class="s">}</span> | |
988 975 | |
989 976 <span class="c"># Is it a unit matrix?</span> | |
990 977 <span class="c">#</span> | |
991 978 <span class="c"># A matrix is a unit matrix:</span> | |
992 979 <span class="c"># o It's a square matrix</span> | |
993 980 <span class="c"># o All its diagonal elements are ones and its off-diagonal elements are zeros</span> | |
994 981 <span class="c">#</span> | |
995 <a name="IsUnit-"></a> 982 <span class="k">sub </span><span class="m">IsUnit</span> <span class="s">{</span> | |
996 983 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
997 984 | |
998 985 <span class="c"># Is is a square matrix?</span> | |
999 986 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1000 987 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1001 988 <span class="s">}</span> | |
1002 989 | |
1003 990 <span class="c"># Check matrix values...</span> | |
1004 991 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$ExpectedValue</span><span class="s">)</span><span class="sc">;</span> | |
1005 992 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1006 993 | |
1007 994 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1008 995 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1009 996 <span class="i">$ExpectedValue</span> = <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> ? <span class="n">1.0</span> <span class="co">:</span> <span class="n">0.0</span><span class="sc">;</span> | |
1010 997 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$ExpectedValue</span><span class="s">)</span> <span class="s">{</span> | |
1011 998 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1012 999 <span class="s">}</span> | |
1013 1000 <span class="s">}</span> | |
1014 1001 <span class="s">}</span> | |
1015 1002 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1016 1003 <span class="s">}</span> | |
1017 1004 | |
1018 1005 <span class="c"># Is it an identity matrix?</span> | |
1019 1006 <span class="c">#</span> | |
1020 <a name="IsIdentity-"></a>1007 <span class="k">sub </span><span class="m">IsIdentity</span> <span class="s">{</span> | |
1021 1008 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1022 1009 | |
1023 1010 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsUnit</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1024 1011 <span class="s">}</span> | |
1025 1012 | |
1026 1013 <span class="c"># Is it a diagonal matrix?</span> | |
1027 1014 <span class="c">#</span> | |
1028 1015 <span class="c"># A matrix is a diagonal matrix:</span> | |
1029 1016 <span class="c"># o It's a square matrix</span> | |
1030 1017 <span class="c"># o All its off-diagonal elements are zeros and its diagonal elements may or may not</span> | |
1031 1018 <span class="c"># be zeros</span> | |
1032 1019 <span class="c">#</span> | |
1033 1020 <span class="c">#</span> | |
1034 <a name="IsDiagonal-"></a>1021 <span class="k">sub </span><span class="m">IsDiagonal</span> <span class="s">{</span> | |
1035 1022 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1036 1023 | |
1037 1024 <span class="c"># Is is a square matrix?</span> | |
1038 1025 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1039 1026 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1040 1027 <span class="s">}</span> | |
1041 1028 | |
1042 1029 <span class="c"># Check off-diagonal matrix values...</span> | |
1043 1030 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1044 1031 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1045 1032 | |
1046 1033 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1047 1034 <span class="j">COLINDEX:</span> <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1048 1035 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
1049 1036 <span class="k">next</span> <span class="j">COLINDEX</span><span class="sc">;</span> | |
1050 1037 <span class="s">}</span> | |
1051 1038 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1052 1039 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1053 1040 <span class="s">}</span> | |
1054 1041 <span class="s">}</span> | |
1055 1042 <span class="s">}</span> | |
1056 1043 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1057 1044 <span class="s">}</span> | |
1058 1045 | |
1059 1046 <span class="c"># Is it a lower bidiagonal matrix?</span> | |
1060 1047 <span class="c">#</span> | |
1061 1048 <span class="c"># A matrix is a lower bidiagonal matrix:</span> | |
1062 1049 <span class="c"># o It's a square matrix</span> | |
1063 1050 <span class="c"># o All its main diagonal and lower diagonal elements are non-zeros and all its</span> | |
1064 1051 <span class="c"># other elements are zeros</span> | |
1065 1052 <span class="c">#</span> | |
1066 <a name="IsLowerBiDiagonal-"></a>1053 <span class="k">sub </span><span class="m">IsLowerBiDiagonal</span> <span class="s">{</span> | |
1067 1054 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1068 1055 | |
1069 1056 <span class="c"># Is is a square matrix?</span> | |
1070 1057 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1071 1058 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1072 1059 <span class="s">}</span> | |
1073 1060 | |
1074 1061 <span class="c"># Check matrix values...</span> | |
1075 1062 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
1076 1063 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1077 1064 | |
1078 1065 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1079 1066 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1080 1067 <span class="i">$Value</span> = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
1081 1068 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
1082 1069 <span class="c"># Main diagonal...</span> | |
1083 1070 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1084 1071 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1085 1072 <span class="s">}</span> | |
1086 1073 <span class="s">}</span> | |
1087 1074 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="s">(</span><span class="i">$ColIndex</span> + <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1088 1075 <span class="c"># Lower diagonal...</span> | |
1089 1076 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1090 1077 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1091 1078 <span class="s">}</span> | |
1092 1079 <span class="s">}</span> | |
1093 1080 <span class="k">else</span> <span class="s">{</span> | |
1094 1081 <span class="c"># Other elements...</span> | |
1095 1082 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1096 1083 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1097 1084 <span class="s">}</span> | |
1098 1085 <span class="s">}</span> | |
1099 1086 <span class="s">}</span> | |
1100 1087 <span class="s">}</span> | |
1101 1088 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1102 1089 <span class="s">}</span> | |
1103 1090 | |
1104 1091 <span class="c"># Is it an upper bidiagonal matrix?</span> | |
1105 1092 <span class="c">#</span> | |
1106 1093 <span class="c"># A matrix is an upper bidiagonal matrix:</span> | |
1107 1094 <span class="c"># o It's a square matrix</span> | |
1108 1095 <span class="c"># o All its main diagonal and upper diagonal elements are non-zeros and all its</span> | |
1109 1096 <span class="c"># other elements are zeros</span> | |
1110 1097 <span class="c">#</span> | |
1111 <a name="IsUpperBiDiagonal-"></a>1098 <span class="k">sub </span><span class="m">IsUpperBiDiagonal</span> <span class="s">{</span> | |
1112 1099 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1113 1100 | |
1114 1101 <span class="c"># Is is a square matrix?</span> | |
1115 1102 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1116 1103 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1117 1104 <span class="s">}</span> | |
1118 1105 <span class="c"># Check matrix values...</span> | |
1119 1106 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
1120 1107 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1121 1108 | |
1122 1109 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1123 1110 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1124 1111 <span class="i">$Value</span> = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
1125 1112 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
1126 1113 <span class="c"># Main diagonal...</span> | |
1127 1114 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1128 1115 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1129 1116 <span class="s">}</span> | |
1130 1117 <span class="s">}</span> | |
1131 1118 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="s">(</span><span class="i">$ColIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1132 1119 <span class="c"># Upper diagonal...</span> | |
1133 1120 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1134 1121 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1135 1122 <span class="s">}</span> | |
1136 1123 <span class="s">}</span> | |
1137 1124 <span class="k">else</span> <span class="s">{</span> | |
1138 1125 <span class="c"># Other elements...</span> | |
1139 1126 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1140 1127 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1141 1128 <span class="s">}</span> | |
1142 1129 <span class="s">}</span> | |
1143 1130 <span class="s">}</span> | |
1144 1131 <span class="s">}</span> | |
1145 1132 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1146 1133 <span class="s">}</span> | |
1147 1134 | |
1148 1135 <span class="c"># Is it a bidiagonal matrix?</span> | |
1149 1136 <span class="c">#</span> | |
1150 1137 <span class="c"># A matrix is a bidiagonal matrix:</span> | |
1151 1138 <span class="c">#</span> | |
1152 <a name="IsBiDiagonal-"></a>1139 <span class="k">sub </span><span class="m">IsBiDiagonal</span> <span class="s">{</span> | |
1153 1140 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1154 1141 | |
1155 1142 <span class="k">return</span> <span class="s">(</span><span class="i">$This</span><span class="i">->IsUpperBiDiagonal</span><span class="s">(</span><span class="s">)</span> || <span class="i">$This</span><span class="i">->IsLowerBiDiagonal</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
1156 1143 <span class="s">}</span> | |
1157 1144 | |
1158 1145 <span class="c"># Is it a tridiagonal matrix?</span> | |
1159 1146 <span class="c">#</span> | |
1160 1147 <span class="c"># A matrix is a tribidiagonal matrix:</span> | |
1161 1148 <span class="c"># o It's a square matrix</span> | |
1162 1149 <span class="c"># o All its main diagonal, upper diagonal, and lower diagonal elements are non-zeros and all its</span> | |
1163 1150 <span class="c"># other elements are zeros</span> | |
1164 1151 <span class="c">#</span> | |
1165 1152 <span class="c">#</span> | |
1166 <a name="IsTriDiagonal-"></a>1153 <span class="k">sub </span><span class="m">IsTriDiagonal</span> <span class="s">{</span> | |
1167 1154 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1168 1155 | |
1169 1156 <span class="c"># Is is a square matrix?</span> | |
1170 1157 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1171 1158 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1172 1159 <span class="s">}</span> | |
1173 1160 | |
1174 1161 <span class="c"># Check matrix values...</span> | |
1175 1162 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> | |
1176 1163 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1177 1164 | |
1178 1165 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1179 1166 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1180 1167 <span class="i">$Value</span> = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
1181 1168 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
1182 1169 <span class="c"># Main diagonal...</span> | |
1183 1170 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1184 1171 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1185 1172 <span class="s">}</span> | |
1186 1173 <span class="s">}</span> | |
1187 1174 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="s">(</span><span class="i">$ColIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1188 1175 <span class="c"># Upper diagonal...</span> | |
1189 1176 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1190 1177 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1191 1178 <span class="s">}</span> | |
1192 1179 <span class="s">}</span> | |
1193 1180 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> == <span class="s">(</span><span class="i">$ColIndex</span> + <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1194 1181 <span class="c"># Lower diagonal...</span> | |
1195 1182 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> == <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1196 1183 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1197 1184 <span class="s">}</span> | |
1198 1185 <span class="s">}</span> | |
1199 1186 <span class="k">else</span> <span class="s">{</span> | |
1200 1187 <span class="c"># Other elements...</span> | |
1201 1188 <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1202 1189 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1203 1190 <span class="s">}</span> | |
1204 1191 <span class="s">}</span> | |
1205 1192 <span class="s">}</span> | |
1206 1193 <span class="s">}</span> | |
1207 1194 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1208 1195 <span class="s">}</span> | |
1209 1196 | |
1210 1197 <span class="c"># Is it a lower triangular matrix?</span> | |
1211 1198 <span class="c">#</span> | |
1212 1199 <span class="c"># A matrix is a lower triangular matrix:</span> | |
1213 1200 <span class="c"># o It's a square matrix</span> | |
1214 1201 <span class="c"># o All its entries above the main diagonal are zero</span> | |
1215 1202 <span class="c">#</span> | |
1216 <a name="IsLowerTriangular-"></a>1203 <span class="k">sub </span><span class="m">IsLowerTriangular</span> <span class="s">{</span> | |
1217 1204 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1218 1205 | |
1219 1206 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsLowerTriangularMatrix</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1220 1207 <span class="s">}</span> | |
1221 1208 | |
1222 1209 <span class="c"># Is it a left triangular matrix?</span> | |
1223 1210 <span class="c">#</span> | |
1224 1211 <span class="c"># A matrix is a left triangular matrix:</span> | |
1225 1212 <span class="c"># o It's a square matrix</span> | |
1226 1213 <span class="c"># o All its entries above the main diagonal are zero</span> | |
1227 1214 <span class="c">#</span> | |
1228 <a name="IsLeftTriangular-"></a>1215 <span class="k">sub </span><span class="m">IsLeftTriangular</span> <span class="s">{</span> | |
1229 1216 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1230 1217 | |
1231 1218 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsLowerTriangular</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1232 1219 <span class="s">}</span> | |
1233 1220 | |
1234 1221 <span class="c"># Is it a strictly lower triangular matrix?</span> | |
1235 1222 <span class="c">#</span> | |
1236 1223 <span class="c"># A matrix is a strictly lower triangular matrix:</span> | |
1237 1224 <span class="c"># o It's a square matrix</span> | |
1238 1225 <span class="c"># o All its entries on and above the main diagonal are zero</span> | |
1239 1226 <span class="c">#</span> | |
1240 <a name="IsStrictlyLowerTriangular-"></a>1227 <span class="k">sub </span><span class="m">IsStrictlyLowerTriangular</span> <span class="s">{</span> | |
1241 1228 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1242 1229 <span class="k">my</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
1243 1230 | |
1244 1231 <span class="i">$DiagonalValue</span> = <span class="n">0</span><span class="sc">;</span> | |
1245 1232 | |
1246 1233 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsLowerTriangularMatrix</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
1247 1234 <span class="s">}</span> | |
1248 1235 | |
1249 1236 <span class="c"># Is it an unit lower triangular matrix?</span> | |
1250 1237 <span class="c">#</span> | |
1251 1238 <span class="c"># A matrix is an unit lower triangular matrix:</span> | |
1252 1239 <span class="c"># o It's a square matrix</span> | |
1253 1240 <span class="c"># o All its entries main diagonal are one</span> | |
1254 1241 <span class="c"># o All its entries above the main diagonal are zero</span> | |
1255 1242 <span class="c">#</span> | |
1256 <a name="IsUnitLowerTriangular-"></a>1243 <span class="k">sub </span><span class="m">IsUnitLowerTriangular</span> <span class="s">{</span> | |
1257 1244 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1258 1245 <span class="k">my</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
1259 1246 | |
1260 1247 <span class="i">$DiagonalValue</span> = <span class="n">1</span><span class="sc">;</span> | |
1261 1248 | |
1262 1249 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsLowerTriangularMatrix</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
1263 1250 <span class="s">}</span> | |
1264 1251 | |
1265 1252 <span class="c"># Is it a lower unitriangular matrix?</span> | |
1266 1253 <span class="c">#</span> | |
1267 <a name="IsLowerUniTriangular-"></a>1254 <span class="k">sub </span><span class="m">IsLowerUniTriangular</span> <span class="s">{</span> | |
1268 1255 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1269 1256 | |
1270 1257 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsUnitLowerTriangular</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1271 1258 <span class="s">}</span> | |
1272 1259 | |
1273 1260 <span class="c"># Is it a lower triangular, strictly lower triangular, or unit lower triangular matrix?</span> | |
1274 1261 <span class="c">#</span> | |
1275 <a name="_IsLowerTriangularMatrix-"></a>1262 <span class="k">sub </span><span class="m">_IsLowerTriangularMatrix</span> <span class="s">{</span> | |
1276 1263 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$DiagonalValue</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1277 1264 | |
1278 1265 <span class="c"># Is is a square matrix?</span> | |
1279 1266 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1280 1267 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1281 1268 <span class="s">}</span> | |
1282 1269 <span class="c"># Check matrix values...</span> | |
1283 1270 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$CheckDiagonalValues</span><span class="s">)</span><span class="sc">;</span> | |
1284 1271 | |
1285 1272 <span class="i">$CheckDiagonalValues</span> = <span class="k">defined</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
1286 1273 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1287 1274 | |
1288 1275 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1289 1276 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1290 1277 <span class="k">if</span> <span class="s">(</span><span class="i">$CheckDiagonalValues</span> && <span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
1291 1278 <span class="c"># Main diagonal...</span> | |
1292 1279 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$DiagonalValue</span><span class="s">)</span> <span class="s">{</span> | |
1293 1280 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1294 1281 <span class="s">}</span> | |
1295 1282 <span class="s">}</span> | |
1296 1283 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> < <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
1297 1284 <span class="c"># Elemens above the main diagonal...</span> | |
1298 1285 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1299 1286 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1300 1287 <span class="s">}</span> | |
1301 1288 <span class="s">}</span> | |
1302 1289 <span class="s">}</span> | |
1303 1290 <span class="s">}</span> | |
1304 1291 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1305 1292 <span class="s">}</span> | |
1306 1293 | |
1307 1294 <span class="c"># Is it an upper triangular matrix?</span> | |
1308 1295 <span class="c">#</span> | |
1309 1296 <span class="c"># A matrix is an upper triangular matrix:</span> | |
1310 1297 <span class="c"># o It's a square matrix</span> | |
1311 1298 <span class="c"># o All its entries below the main diagonal are zero</span> | |
1312 1299 <span class="c">#</span> | |
1313 <a name="IsUpperTriangular-"></a>1300 <span class="k">sub </span><span class="m">IsUpperTriangular</span> <span class="s">{</span> | |
1314 1301 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1315 1302 | |
1316 1303 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsUpperTriangularMatrix</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1317 1304 <span class="s">}</span> | |
1318 1305 | |
1319 1306 <span class="c"># Is it a right triangular matrix?</span> | |
1320 1307 <span class="c">#</span> | |
1321 1308 <span class="c"># A matrix is a right triangular matrix:</span> | |
1322 1309 <span class="c"># o It's a square matrix</span> | |
1323 1310 <span class="c"># o All its entries below the main diagonal are zero</span> | |
1324 1311 <span class="c">#</span> | |
1325 <a name="IsRightTriangular-"></a>1312 <span class="k">sub </span><span class="m">IsRightTriangular</span> <span class="s">{</span> | |
1326 1313 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1327 1314 | |
1328 1315 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsUpperTriangular</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1329 1316 <span class="s">}</span> | |
1330 1317 | |
1331 1318 <span class="c"># Is it a strictly upper triangular matrix?</span> | |
1332 1319 <span class="c">#</span> | |
1333 1320 <span class="c"># A matrix is a strictly upper triangular matrix:</span> | |
1334 1321 <span class="c"># o It's a square matrix</span> | |
1335 1322 <span class="c"># o All its entries on and below the main diagonal are zero</span> | |
1336 1323 <span class="c">#</span> | |
1337 <a name="IsStrictlyUpperTriangular-"></a>1324 <span class="k">sub </span><span class="m">IsStrictlyUpperTriangular</span> <span class="s">{</span> | |
1338 1325 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1339 1326 <span class="k">my</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
1340 1327 | |
1341 1328 <span class="i">$DiagonalValue</span> = <span class="n">0</span><span class="sc">;</span> | |
1342 1329 | |
1343 1330 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsUpperTriangularMatrix</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
1344 1331 <span class="s">}</span> | |
1345 1332 | |
1346 1333 <span class="c"># Is it a unit upper triangular matrix?</span> | |
1347 1334 <span class="c">#</span> | |
1348 1335 <span class="c"># A matrix is an unit upper triangular matrix:</span> | |
1349 1336 <span class="c"># o It's a square matrix</span> | |
1350 1337 <span class="c"># o All its entries main diagonal are one</span> | |
1351 1338 <span class="c"># o All its entries below the main diagonal are zero</span> | |
1352 1339 <span class="c">#</span> | |
1353 <a name="IsUnitUpperTriangular-"></a>1340 <span class="k">sub </span><span class="m">IsUnitUpperTriangular</span> <span class="s">{</span> | |
1354 1341 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1355 1342 <span class="k">my</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
1356 1343 | |
1357 1344 <span class="i">$DiagonalValue</span> = <span class="n">1</span><span class="sc">;</span> | |
1358 1345 | |
1359 1346 <span class="k">return</span> <span class="i">$This</span><span class="i">->_IsUpperTriangularMatrix</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span><span class="sc">;</span> | |
1360 1347 <span class="s">}</span> | |
1361 1348 | |
1362 1349 <span class="c"># Is it a upper unitriangular matrix?</span> | |
1363 1350 <span class="c">#</span> | |
1364 <a name="IsUpperUniTriangular-"></a>1351 <span class="k">sub </span><span class="m">IsUpperUniTriangular</span> <span class="s">{</span> | |
1365 1352 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1366 1353 | |
1367 1354 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsUnitUpperTriangular</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1368 1355 <span class="s">}</span> | |
1369 1356 | |
1370 1357 <span class="c"># Is it an upper triangular, strictly upper triangular, or unit upper triangular matrix?</span> | |
1371 1358 <span class="c">#</span> | |
1372 <a name="_IsUpperTriangularMatrix-"></a>1359 <span class="k">sub </span><span class="m">_IsUpperTriangularMatrix</span> <span class="s">{</span> | |
1373 1360 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$DiagonalValue</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1374 1361 | |
1375 1362 <span class="c"># Is is a square matrix?</span> | |
1376 1363 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1377 1364 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1378 1365 <span class="s">}</span> | |
1379 1366 <span class="c"># Check matrix values...</span> | |
1380 1367 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="cm">,</span> <span class="i">$CheckDiagonalValues</span><span class="s">)</span><span class="sc">;</span> | |
1381 1368 | |
1382 1369 <span class="i">$CheckDiagonalValues</span> = <span class="k">defined</span><span class="s">(</span><span class="i">$DiagonalValue</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
1383 1370 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1384 1371 | |
1385 1372 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1386 1373 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1387 1374 <span class="k">if</span> <span class="s">(</span><span class="i">$CheckDiagonalValues</span> && <span class="i">$RowIndex</span> == <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
1388 1375 <span class="c"># Main diagonal...</span> | |
1389 1376 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$DiagonalValue</span><span class="s">)</span> <span class="s">{</span> | |
1390 1377 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1391 1378 <span class="s">}</span> | |
1392 1379 <span class="s">}</span> | |
1393 1380 <span class="k">elsif</span> <span class="s">(</span><span class="i">$RowIndex</span> > <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
1394 1381 <span class="c"># Elemens below the main diagonal...</span> | |
1395 1382 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1396 1383 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1397 1384 <span class="s">}</span> | |
1398 1385 <span class="s">}</span> | |
1399 1386 <span class="s">}</span> | |
1400 1387 <span class="s">}</span> | |
1401 1388 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1402 1389 <span class="s">}</span> | |
1403 1390 | |
1404 1391 <span class="c"># Is it a symmetrix matrix?</span> | |
1405 1392 <span class="c">#</span> | |
1406 1393 <span class="c"># A matrix is a symmetric matrix:</span> | |
1407 1394 <span class="c"># o It's a square matrix</span> | |
1408 1395 <span class="c"># o Its elements are symmetric with respect to main diagonal. In other words,</span> | |
1409 1396 <span class="c"># elements below the main diagonal are equal to the elements above the main</span> | |
1410 1397 <span class="c"># diagonal.</span> | |
1411 1398 <span class="c">#</span> | |
1412 1399 <span class="c"># Transpose of a symmetric matrix equals the matrix itself.</span> | |
1413 1400 <span class="c">#</span> | |
1414 <a name="IsSymmetric-"></a>1401 <span class="k">sub </span><span class="m">IsSymmetric</span> <span class="s">{</span> | |
1415 1402 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1416 1403 | |
1417 1404 <span class="c"># Is is a square matrix?</span> | |
1418 1405 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1419 1406 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1420 1407 <span class="s">}</span> | |
1421 1408 | |
1422 1409 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1423 1410 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1424 1411 | |
1425 1412 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1426 1413 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$RowIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1427 1414 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$ColIndex</span>][<span class="i">$RowIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
1428 1415 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1429 1416 <span class="s">}</span> | |
1430 1417 <span class="s">}</span> | |
1431 1418 <span class="s">}</span> | |
1432 1419 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1433 1420 <span class="s">}</span> | |
1434 1421 | |
1435 1422 <span class="c"># Is it a anti symmetrix matrix?</span> | |
1436 1423 <span class="c">#</span> | |
1437 1424 <span class="c"># A matrix is an anti symmetric matrix:</span> | |
1438 1425 <span class="c"># o It's a square matrix</span> | |
1439 1426 <span class="c"># o Its elements are asymmetric with respect to main diagonal. In other words,</span> | |
1440 1427 <span class="c"># elements below the main diagonal are equal to the negative of elements above</span> | |
1441 1428 <span class="c"># the main diagonal.</span> | |
1442 1429 <span class="c">#</span> | |
1443 1430 <span class="c"># Transpose of a anti symmetric matrix equals the negative of the matrix.</span> | |
1444 1431 <span class="c">#</span> | |
1445 <a name="IsAntiSymmetric-"></a>1432 <span class="k">sub </span><span class="m">IsAntiSymmetric</span> <span class="s">{</span> | |
1446 1433 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1447 1434 | |
1448 1435 <span class="c"># Is is a square matrix?</span> | |
1449 1436 <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">->IsSquare</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1450 1437 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1451 1438 <span class="s">}</span> | |
1452 1439 | |
1453 1440 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1454 1441 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1455 1442 | |
1456 1443 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1457 1444 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$RowIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1458 1445 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != -<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$ColIndex</span>][<span class="i">$RowIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
1459 1446 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1460 1447 <span class="s">}</span> | |
1461 1448 <span class="s">}</span> | |
1462 1449 <span class="s">}</span> | |
1463 1450 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1464 1451 <span class="s">}</span> | |
1465 1452 | |
1466 1453 <span class="c"># Is it a skew symmetrix matrix?</span> | |
1467 1454 <span class="c">#</span> | |
1468 1455 <span class="c"># It's another name for AnitSymmetricMatrix.</span> | |
1469 1456 <span class="c">#</span> | |
1470 <a name="IsSkewSymmetric-"></a>1457 <span class="k">sub </span><span class="m">IsSkewSymmetric</span> <span class="s">{</span> | |
1471 1458 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1472 1459 | |
1473 1460 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsAntiSymmetric</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1474 1461 <span class="s">}</span> | |
1475 1462 | |
1476 1463 <span class="c"># Is it a positive matrix with all its values >= zero?</span> | |
1477 1464 <span class="c">#</span> | |
1478 <a name="IsPositive-"></a>1465 <span class="k">sub </span><span class="m">IsPositive</span> <span class="s">{</span> | |
1479 1466 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1480 1467 | |
1481 1468 <span class="c"># Check matrix values...</span> | |
1482 1469 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1483 1470 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1484 1471 | |
1485 1472 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1486 1473 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1487 1474 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] < <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1488 1475 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1489 1476 <span class="s">}</span> | |
1490 1477 <span class="s">}</span> | |
1491 1478 <span class="s">}</span> | |
1492 1479 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1493 1480 <span class="s">}</span> | |
1494 1481 | |
1495 1482 <span class="c"># Is it a positive matrix with all its values <= zero?</span> | |
1496 1483 <span class="c">#</span> | |
1497 <a name="IsNegative-"></a>1484 <span class="k">sub </span><span class="m">IsNegative</span> <span class="s">{</span> | |
1498 1485 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1499 1486 | |
1500 1487 <span class="k">return</span> <span class="i">$This</span><span class="i">->IsPositive</span><span class="s">(</span><span class="s">)</span> ? <span class="n">0</span> <span class="co">:</span> <span class="n">1</span><span class="sc">;</span> | |
1501 1488 <span class="s">}</span> | |
1502 1489 | |
1503 1490 <span class="c"># Transpose the matrix by swaping rows with columns...</span> | |
1504 1491 <span class="c">#</span> | |
1505 <a name="Transpose-"></a>1492 <span class="k">sub </span><span class="m">Transpose</span> <span class="s">{</span> | |
1506 1493 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1507 1494 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1508 1495 | |
1509 1496 <span class="c"># Create the transpose matrix of size $NumOfCols x $NumOfRows</span> | |
1510 1497 <span class="c">#</span> | |
1511 1498 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1512 1499 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="s">)</span><span class="sc">;</span> | |
1513 1500 | |
1514 1501 <span class="c"># Swap rows and columns...</span> | |
1515 1502 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1516 1503 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1517 1504 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$ColIndex</span>][<span class="i">$RowIndex</span>]<span class="sc">;</span> | |
1518 1505 <span class="s">}</span> | |
1519 1506 <span class="s">}</span> | |
1520 1507 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
1521 1508 <span class="s">}</span> | |
1522 1509 | |
1523 1510 <span class="c"># Is it a matrix object?</span> | |
1524 <a name="IsMatrix-"></a>1511 <span class="k">sub </span><span class="m">IsMatrix ($)</span> <span class="s">{</span> | |
1525 1512 <span class="k">my</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1526 1513 | |
1527 1514 <span class="k">return</span> <span class="i">_IsMatrix</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span><span class="sc">;</span> | |
1528 1515 <span class="s">}</span> | |
1529 1516 | |
1530 1517 <span class="c"># Set value print format for an individual object or the whole class during StringifyMatrix operation...</span> | |
1531 <a name="SetValuePrintFormat-"></a>1518 <span class="k">sub </span><span class="m">SetValuePrintFormat ($;$)</span> <span class="s">{</span> | |
1532 1519 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1533 1520 | |
1534 1521 <span class="k">if</span> <span class="s">(</span><span class="s">(</span><span class="i">@_</span> == <span class="n">2</span><span class="s">)</span> && <span class="s">(</span><span class="i">_IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1535 1522 <span class="c"># Set value print format for the specific object...</span> | |
1536 1523 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ValuePrintFormat</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
1537 1524 | |
1538 1525 <span class="i">$This</span>->{<span class="w">ValueFormat</span>} = <span class="i">$ValuePrintFormat</span><span class="sc">;</span> | |
1539 1526 <span class="s">}</span> | |
1540 1527 <span class="k">else</span> <span class="s">{</span> | |
1541 1528 <span class="c"># Set value print format for the class...</span> | |
1542 1529 <span class="k">my</span><span class="s">(</span><span class="i">$ValuePrintFormat</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="sc">;</span> | |
1543 1530 | |
1544 1531 <span class="i">$ValueFormat</span> = <span class="i">$ValuePrintFormat</span><span class="sc">;</span> | |
1545 1532 <span class="s">}</span> | |
1546 1533 <span class="s">}</span> | |
1547 1534 | |
1548 1535 <span class="c"># Set print style for matrix rows for an individual object or the whole class during StringifyMatrix</span> | |
1549 1536 <span class="c"># operation.</span> | |
1550 1537 <span class="c">#</span> | |
1551 1538 <span class="c"># Possible values: AllRowsInOneLine, OneRowPerLine. Default: AllRowsInOneLine</span> | |
1552 1539 <span class="c">#</span> | |
1553 <a name="SetMatrixPrintStyle-"></a>1540 <span class="k">sub </span><span class="m">SetMatrixPrintStyle ($;$)</span> <span class="s">{</span> | |
1554 1541 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1555 1542 | |
1556 1543 <span class="k">if</span> <span class="s">(</span><span class="s">(</span><span class="i">@_</span> == <span class="n">2</span><span class="s">)</span> && <span class="s">(</span><span class="i">_IsMatrix</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1557 1544 <span class="c"># Set value print format for the specific object...</span> | |
1558 1545 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$MatrixPrintStyleValue</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
1559 1546 | |
1560 1547 <span class="k">if</span> <span class="s">(</span><span class="i">$MatrixPrintStyleValue</span> !~ <span class="q">/^(AllRowsInOneLine|OneRowPerLine)$/i</span><span class="s">)</span> <span class="s">{</span> | |
1561 1548 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetMatrixPrintStyle: Specified MatrixPrintStyle, $MatrixPrintStyleValue, is not valid. Supported values: AllRowsInOneLine, OneRowPerLine..."</span><span class="sc">;</span> | |
1562 1549 <span class="s">}</span> | |
1563 1550 | |
1564 1551 <span class="i">$This</span>->{<span class="w">MatrixPrintStyle</span>} = <span class="i">$MatrixPrintStyleValue</span><span class="sc">;</span> | |
1565 1552 <span class="s">}</span> | |
1566 1553 <span class="k">else</span> <span class="s">{</span> | |
1567 1554 <span class="c"># Set value print format for the class...</span> | |
1568 1555 <span class="k">my</span><span class="s">(</span><span class="i">$MatrixPrintStyleValue</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="sc">;</span> | |
1569 1556 | |
1570 1557 <span class="k">if</span> <span class="s">(</span><span class="i">$MatrixPrintStyleValue</span> !~ <span class="q">/^(AllRowsInOneLine|OneRowPerLine)$/i</span><span class="s">)</span> <span class="s">{</span> | |
1571 1558 <span class="w">croak</span> <span class="q">"Error: ${ClassName}::SetMatrixPrintStyle: Specified MatrixPrintStyle, $MatrixPrintStyleValue, is not valid. Supported values: AllRowsInOneLine, OneRowPerLine..."</span><span class="sc">;</span> | |
1572 1559 <span class="s">}</span> | |
1573 1560 | |
1574 1561 <span class="i">$MatrixPrintStyle</span> = <span class="i">$MatrixPrintStyleValue</span><span class="sc">;</span> | |
1575 1562 <span class="s">}</span> | |
1576 1563 <span class="s">}</span> | |
1577 1564 | |
1578 1565 <span class="c"># Is it a matrix object?</span> | |
1579 1566 <span class="c">#</span> | |
1580 <a name="_IsMatrix-"></a>1567 <span class="k">sub </span><span class="m">_IsMatrix</span> <span class="s">{</span> | |
1581 1568 <span class="k">my</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1582 1569 | |
1583 1570 <span class="k">return</span> <span class="s">(</span><span class="i">Scalar::Util::blessed</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> && <span class="i">$Object</span><span class="i">->isa</span><span class="s">(</span><span class="i">$ClassName</span><span class="s">)</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
1584 1571 <span class="s">}</span> | |
1585 1572 | |
1586 1573 <span class="c"># Make sure it's a matrix reference...</span> | |
1587 1574 <span class="c">#</span> | |
1588 <a name="_ValidateMatrix-"></a>1575 <span class="k">sub </span><span class="m">_ValidateMatrix</span> <span class="s">{</span> | |
1589 1576 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$Matrix</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1590 1577 | |
1591 1578 <span class="k">if</span> <span class="s">(</span>!<span class="i">_IsMatrix</span><span class="s">(</span><span class="i">$Matrix</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1592 1579 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: Object must be a matrix..."</span><span class="sc">;</span> | |
1593 1580 <span class="s">}</span> | |
1594 1581 <span class="s">}</span> | |
1595 1582 | |
1596 1583 <span class="c"># Make sure both row and column indicies are valid...</span> | |
1597 1584 <span class="c">#</span> | |
1598 <a name="_ValidateRowAndColumnIndicies-"></a>1585 <span class="k">sub </span><span class="m">_ValidateRowAndColumnIndicies</span> <span class="s">{</span> | |
1599 1586 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColumnIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1600 1587 | |
1601 1588 <span class="i">$This</span><span class="i">->_ValidateRowIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span><span class="sc">;</span> | |
1602 1589 <span class="i">$This</span><span class="i">->_ValidateColumnIndex</span><span class="s">(</span><span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$ColumnIndex</span><span class="s">)</span><span class="sc">;</span> | |
1603 1590 | |
1604 1591 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
1605 1592 <span class="s">}</span> | |
1606 1593 | |
1607 1594 <span class="c"># Make sure it's a valid row index...</span> | |
1608 1595 <span class="c">#</span> | |
1609 <a name="_ValidateRowIndex-"></a>1596 <span class="k">sub </span><span class="m">_ValidateRowIndex</span> <span class="s">{</span> | |
1610 1597 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1611 1598 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="s">)</span><span class="sc">;</span> | |
1612 1599 | |
1613 1600 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$RowIndex</span><span class="s">)</span> <span class="s">{</span> | |
1614 1601 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: RowIndex must be defined..."</span><span class="sc">;</span> | |
1615 1602 <span class="s">}</span> | |
1616 1603 <span class="i">$NumOfRows</span> = <span class="i">$This</span><span class="i">->GetNumOfRows</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1617 1604 <span class="k">if</span> <span class="s">(</span><span class="i">$RowIndex</span> < <span class="n">0</span> || <span class="i">$RowIndex</span> >= <span class="i">$NumOfRows</span><span class="s">)</span> <span class="s">{</span> | |
1618 1605 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: RowIndex value $RowIndex must be >= 0 and < $NumOfRows, NumOfRows, in matrix..."</span><span class="sc">;</span> | |
1619 1606 <span class="s">}</span> | |
1620 1607 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
1621 1608 <span class="s">}</span> | |
1622 1609 | |
1623 1610 <span class="c"># Make sure it's a valid column index...</span> | |
1624 1611 <span class="c">#</span> | |
1625 <a name="_ValidateColumnIndex-"></a>1612 <span class="k">sub </span><span class="m">_ValidateColumnIndex</span> <span class="s">{</span> | |
1626 1613 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$ErrorMsgPrefix</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
1627 1614 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
1628 1615 | |
1629 1616 <span class="k">if</span> <span class="s">(</span>!<span class="k">defined</span> <span class="i">$ColIndex</span><span class="s">)</span> <span class="s">{</span> | |
1630 1617 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: ColIndex must be defined..."</span><span class="sc">;</span> | |
1631 1618 <span class="s">}</span> | |
1632 1619 <span class="i">$NumOfCols</span> = <span class="i">$This</span><span class="i">->GetNumOfColumns</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1633 1620 <span class="k">if</span> <span class="s">(</span><span class="i">$ColIndex</span> < <span class="n">0</span> || <span class="i">$ColIndex</span> >= <span class="i">$NumOfCols</span><span class="s">)</span> <span class="s">{</span> | |
1634 1621 <span class="w">croak</span> <span class="q">"$ErrorMsgPrefix: ColIndex value $ColIndex must be >= 0 and < $NumOfCols, NumOfCols, in matrix..."</span><span class="sc">;</span> | |
1635 1622 <span class="s">}</span> | |
1636 1623 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> | |
1637 1624 <span class="s">}</span> | |
1638 1625 | |
1639 1626 <span class="c">#</span> | |
1640 1627 <span class="c"># Matrix addition operator supports two addition modes:</span> | |
1641 1628 <span class="c"># . Addition of two matrices by adding corresponding matrix values</span> | |
1642 1629 <span class="c"># . Addition of a scalar value to matrix values ($Matrix + 1)</span> | |
1643 1630 <span class="c">#</span> | |
1644 1631 <span class="c"># Caveats:</span> | |
1645 1632 <span class="c"># . Addition of a matrix to scalar is not allowed (1 + $Matrix)</span> | |
1646 1633 <span class="c">#</span> | |
1647 <a name="_MatrixAdditionOperator-"></a>1634 <span class="k">sub </span><span class="m">_MatrixAdditionOperator</span> <span class="s">{</span> | |
1648 1635 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
1649 1636 | |
1650 1637 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixAdditionOperator: Matrix addition failed"</span><span class="sc">;</span> | |
1651 1638 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
1652 1639 | |
1653 1640 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1654 1641 | |
1655 1642 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1656 1643 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
1657 1644 | |
1658 1645 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
1659 1646 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
1660 1647 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1661 1648 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1662 1649 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] + <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
1663 1650 <span class="s">}</span> | |
1664 1651 <span class="s">}</span> | |
1665 1652 <span class="s">}</span> | |
1666 1653 <span class="k">else</span> <span class="s">{</span> | |
1667 1654 <span class="c"># Scalar addition...</span> | |
1668 1655 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
1669 1656 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
1670 1657 <span class="s">}</span> | |
1671 1658 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1672 1659 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1673 1660 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] + <span class="i">$Other</span><span class="sc">;</span> | |
1674 1661 <span class="s">}</span> | |
1675 1662 <span class="s">}</span> | |
1676 1663 <span class="s">}</span> | |
1677 1664 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
1678 1665 <span class="s">}</span> | |
1679 1666 | |
1680 1667 <span class="c">#</span> | |
1681 1668 <span class="c"># Matrix subtraction operator supports two subtraction modes:</span> | |
1682 1669 <span class="c"># . Subtraction of two matrices by subtracting corresponding matrix values</span> | |
1683 1670 <span class="c"># . Subtraction of a scalar value from matrix values ($Matrix - 1)</span> | |
1684 1671 <span class="c">#</span> | |
1685 1672 <span class="c"># Caveats:</span> | |
1686 1673 <span class="c"># . Subtraction of a matrix from scalar is not allowed (1 - $Matrix)</span> | |
1687 1674 <span class="c">#</span> | |
1688 <a name="_MatrixSubtractionOperator-"></a>1675 <span class="k">sub </span><span class="m">_MatrixSubtractionOperator</span> <span class="s">{</span> | |
1689 1676 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
1690 1677 | |
1691 1678 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixSubtractionOperator: Matrix subtraction failed"</span><span class="sc">;</span> | |
1692 1679 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
1693 1680 | |
1694 1681 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1695 1682 | |
1696 1683 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1697 1684 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
1698 1685 | |
1699 1686 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
1700 1687 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
1701 1688 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1702 1689 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1703 1690 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] - <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
1704 1691 <span class="s">}</span> | |
1705 1692 <span class="s">}</span> | |
1706 1693 <span class="s">}</span> | |
1707 1694 <span class="k">else</span> <span class="s">{</span> | |
1708 1695 <span class="c"># Scalar subtraction...</span> | |
1709 1696 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
1710 1697 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
1711 1698 <span class="s">}</span> | |
1712 1699 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1713 1700 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1714 1701 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] - <span class="i">$Other</span><span class="sc">;</span> | |
1715 1702 <span class="s">}</span> | |
1716 1703 <span class="s">}</span> | |
1717 1704 <span class="s">}</span> | |
1718 1705 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
1719 1706 <span class="s">}</span> | |
1720 1707 | |
1721 1708 <span class="c">#</span> | |
1722 1709 <span class="c"># Matrix multiplication operator supports two multiplication modes:</span> | |
1723 1710 <span class="c"># . Multiplication of two matrices</span> | |
1724 1711 <span class="c"># . Multiplication of matrix values by a scalar ($Matrix * 1)</span> | |
1725 1712 <span class="c">#</span> | |
1726 1713 <span class="c"># Caveats:</span> | |
1727 1714 <span class="c"># . Multiplication of a scalar by a is not allowed (1 * $Matrix)</span> | |
1728 1715 <span class="c">#</span> | |
1729 <a name="_MatrixMultiplicationOperator-"></a>1716 <span class="k">sub </span><span class="m">_MatrixMultiplicationOperator</span> <span class="s">{</span> | |
1730 1717 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="s">)</span><span class="sc">;</span> | |
1731 1718 | |
1732 1719 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixMultiplicationOperator: Matrix multiplication failed"</span><span class="sc">;</span> | |
1733 1720 <span class="i">$CheckSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
1734 1721 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckSizes</span><span class="s">)</span><span class="sc">;</span> | |
1735 1722 | |
1736 1723 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="s">)</span><span class="sc">;</span> | |
1737 1724 | |
1738 1725 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
1739 1726 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
1740 1727 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols1</span><span class="cm">,</span> <span class="i">$RowIndex1</span><span class="cm">,</span> <span class="i">$ColIndex1</span><span class="cm">,</span> <span class="i">$NumOfRows2</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="cm">,</span> <span class="i">$ColIndex2</span><span class="cm">,</span> <span class="i">$Value</span><span class="cm">,</span> <span class="i">$RowColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1741 1728 | |
1742 1729 <span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols1</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1743 1730 <span class="s">(</span><span class="i">$NumOfRows2</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1744 1731 | |
1745 1732 <span class="k">if</span> <span class="s">(</span><span class="i">$NumOfCols1</span> != <span class="i">$NumOfRows2</span><span class="s">)</span> <span class="s">{</span> | |
1746 1733 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: NumOfCols in first matrix of size $NumOfRows1 x $NumOfCols1 must be equal to NumOfRows in second matrix of size $NumOfRows2 x $NumOfCols2..."</span><span class="sc">;</span> | |
1747 1734 <span class="s">}</span> | |
1748 1735 | |
1749 1736 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="s">)</span><span class="sc">;</span> | |
1750 1737 | |
1751 1738 <span class="k">for</span> <span class="i">$RowIndex1</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows1</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1752 1739 <span class="k">for</span> <span class="i">$ColIndex2</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols2</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1753 1740 <span class="i">$Value</span> = <span class="n">0</span><span class="sc">;</span> | |
1754 1741 <span class="k">for</span> <span class="i">$RowColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols1</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1755 1742 <span class="i">$Value</span> += <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex1</span>][<span class="i">$RowColIndex</span>] * <span class="i">$Other</span>->[<span class="i">$RowColIndex</span>][<span class="i">$ColIndex2</span>]<span class="sc">;</span> | |
1756 1743 <span class="s">}</span> | |
1757 1744 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex1</span>][<span class="i">$ColIndex2</span>] = <span class="i">$Value</span><span class="sc">;</span> | |
1758 1745 <span class="s">}</span> | |
1759 1746 <span class="s">}</span> | |
1760 1747 <span class="s">}</span> | |
1761 1748 <span class="k">else</span> <span class="s">{</span> | |
1762 1749 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1763 1750 | |
1764 1751 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1765 1752 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
1766 1753 <span class="c"># Scalar subtraction...</span> | |
1767 1754 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
1768 1755 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
1769 1756 <span class="s">}</span> | |
1770 1757 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1771 1758 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1772 1759 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] * <span class="i">$Other</span><span class="sc">;</span> | |
1773 1760 <span class="s">}</span> | |
1774 1761 <span class="s">}</span> | |
1775 1762 <span class="s">}</span> | |
1776 1763 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
1777 1764 <span class="s">}</span> | |
1778 1765 | |
1779 1766 <span class="c">#</span> | |
1780 1767 <span class="c"># Matrix division operator supports two division modes:</span> | |
1781 1768 <span class="c"># . Division of two matrices by dividing corresponding matrix values</span> | |
1782 1769 <span class="c"># . Division matrix values by a scalar($Matrix/2)</span> | |
1783 1770 <span class="c">#</span> | |
1784 1771 <span class="c"># Caveats:</span> | |
1785 1772 <span class="c"># . Division of scalar value by a matrix is not allowed (2/$Matrix)</span> | |
1786 1773 <span class="c">#</span> | |
1787 <a name="_MatrixDivisionOperator-"></a>1774 <span class="k">sub </span><span class="m">_MatrixDivisionOperator</span> <span class="s">{</span> | |
1788 1775 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
1789 1776 | |
1790 1777 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixDivisionOperator: Matrix division failed"</span><span class="sc">;</span> | |
1791 1778 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
1792 1779 | |
1793 1780 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1794 1781 | |
1795 1782 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1796 1783 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
1797 1784 | |
1798 1785 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
1799 1786 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
1800 1787 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1801 1788 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1802 1789 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] / <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
1803 1790 <span class="s">}</span> | |
1804 1791 <span class="s">}</span> | |
1805 1792 <span class="s">}</span> | |
1806 1793 <span class="k">else</span> <span class="s">{</span> | |
1807 1794 <span class="c"># Scalar subtraction...</span> | |
1808 1795 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
1809 1796 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
1810 1797 <span class="s">}</span> | |
1811 1798 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1812 1799 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1813 1800 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] / <span class="i">$Other</span><span class="sc">;</span> | |
1814 1801 <span class="s">}</span> | |
1815 1802 <span class="s">}</span> | |
1816 1803 <span class="s">}</span> | |
1817 1804 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
1818 1805 <span class="s">}</span> | |
1819 1806 | |
1820 1807 <span class="c">#</span> | |
1821 1808 <span class="c"># Matrix exponentiation operator supports two division modes:</span> | |
1822 1809 <span class="c"># . Exponent of two matrices by exponentiation of corresponding matrix values</span> | |
1823 1810 <span class="c"># . Exponentiation matrix values by a scalar ($Matrix ** 2)</span> | |
1824 1811 <span class="c">#</span> | |
1825 1812 <span class="c"># Caveats:</span> | |
1826 1813 <span class="c"># . Exponentiation of scalar value by a matrix is not allowed (2 ** $Matrix)</span> | |
1827 1814 <span class="c">#</span> | |
1828 <a name="_MatrixExponentiationOperator-"></a>1815 <span class="k">sub </span><span class="m">_MatrixExponentiationOperator</span> <span class="s">{</span> | |
1829 1816 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
1830 1817 | |
1831 1818 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixExponentiationOperator: Matrix exponentiation failed"</span><span class="sc">;</span> | |
1832 1819 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
1833 1820 | |
1834 1821 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1835 1822 | |
1836 1823 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1837 1824 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
1838 1825 | |
1839 1826 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
1840 1827 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
1841 1828 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1842 1829 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1843 1830 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] ** <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
1844 1831 <span class="s">}</span> | |
1845 1832 <span class="s">}</span> | |
1846 1833 <span class="s">}</span> | |
1847 1834 <span class="k">else</span> <span class="s">{</span> | |
1848 1835 <span class="c"># Scalar subtraction...</span> | |
1849 1836 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
1850 1837 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
1851 1838 <span class="s">}</span> | |
1852 1839 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1853 1840 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1854 1841 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] ** <span class="i">$Other</span><span class="sc">;</span> | |
1855 1842 <span class="s">}</span> | |
1856 1843 <span class="s">}</span> | |
1857 1844 <span class="s">}</span> | |
1858 1845 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
1859 1846 <span class="s">}</span> | |
1860 1847 | |
1861 1848 <span class="c">#</span> | |
1862 1849 <span class="c"># Matrix modulus operator supports two division modes:</span> | |
1863 1850 <span class="c"># . Modulus of two matrices by taking modulus between corresponding matrix values</span> | |
1864 1851 <span class="c"># . Modulus of matrix values by a scalar ($Matrix % 2)</span> | |
1865 1852 <span class="c">#</span> | |
1866 1853 <span class="c"># Caveats:</span> | |
1867 1854 <span class="c"># . Modulus of scalar value by a matrix is not allowed (2 % $Matrix)</span> | |
1868 1855 <span class="c">#</span> | |
1869 <a name="_MatrixModulusOperator-"></a>1856 <span class="k">sub </span><span class="m">_MatrixModulusOperator</span> <span class="s">{</span> | |
1870 1857 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
1871 1858 | |
1872 1859 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixModulusOperator: Matrix modulus failed"</span><span class="sc">;</span> | |
1873 1860 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
1874 1861 | |
1875 1862 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1876 1863 | |
1877 1864 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1878 1865 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
1879 1866 | |
1880 1867 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
1881 1868 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
1882 1869 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1883 1870 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1884 1871 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] % <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
1885 1872 <span class="s">}</span> | |
1886 1873 <span class="s">}</span> | |
1887 1874 <span class="s">}</span> | |
1888 1875 <span class="k">else</span> <span class="s">{</span> | |
1889 1876 <span class="c"># Scalar subtraction...</span> | |
1890 1877 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
1891 1878 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
1892 1879 <span class="s">}</span> | |
1893 1880 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1894 1881 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1895 1882 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] % <span class="i">$Other</span><span class="sc">;</span> | |
1896 1883 <span class="s">}</span> | |
1897 1884 <span class="s">}</span> | |
1898 1885 <span class="s">}</span> | |
1899 1886 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
1900 1887 <span class="s">}</span> | |
1901 1888 | |
1902 1889 <span class="c">#</span> | |
1903 1890 <span class="c"># Matrix booelan operator checks whether a matrix contains at least one non-zero</span> | |
1904 1891 <span class="c"># value...</span> | |
1905 1892 <span class="c">#</span> | |
1906 <a name="_MatrixBooleanOperator-"></a>1893 <span class="k">sub </span><span class="m">_MatrixBooleanOperator</span> <span class="s">{</span> | |
1907 1894 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
1908 1895 | |
1909 1896 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixBooleanOperator: Matrix boolean operation failed"</span><span class="sc">;</span> | |
1910 1897 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
1911 1898 | |
1912 1899 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1913 1900 | |
1914 1901 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1915 1902 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1916 1903 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1917 1904 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1918 1905 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1919 1906 <span class="s">}</span> | |
1920 1907 <span class="s">}</span> | |
1921 1908 <span class="s">}</span> | |
1922 1909 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1923 1910 <span class="s">}</span> | |
1924 1911 | |
1925 1912 <span class="c">#</span> | |
1926 1913 <span class="c"># Matrix not booelan operator checks whether a matrix contains only zero values...</span> | |
1927 1914 <span class="c"># value...</span> | |
1928 1915 <span class="c">#</span> | |
1929 <a name="_MatrixNotBooleanOperator-"></a>1916 <span class="k">sub </span><span class="m">_MatrixNotBooleanOperator</span> <span class="s">{</span> | |
1930 1917 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
1931 1918 | |
1932 1919 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixNotBooleanOperator: Matrix not boolean operation failed"</span><span class="sc">;</span> | |
1933 1920 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
1934 1921 | |
1935 1922 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1936 1923 | |
1937 1924 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1938 1925 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1939 1926 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1940 1927 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="n">0.0</span><span class="s">)</span> <span class="s">{</span> | |
1941 1928 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1942 1929 <span class="s">}</span> | |
1943 1930 <span class="s">}</span> | |
1944 1931 <span class="s">}</span> | |
1945 1932 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
1946 1933 <span class="s">}</span> | |
1947 1934 | |
1948 1935 <span class="c">#</span> | |
1949 1936 <span class="c"># Matrix equal operator supports two modes:</span> | |
1950 1937 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
1951 1938 <span class="c"># . Comparing matrix values to a scalar ($Matrix == 2)</span> | |
1952 1939 <span class="c">#</span> | |
1953 1940 <span class="c"># Caveats:</span> | |
1954 1941 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 == $Matrix)</span> | |
1955 1942 <span class="c">#</span> | |
1956 <a name="_MatrixEqualOperator-"></a>1943 <span class="k">sub </span><span class="m">_MatrixEqualOperator</span> <span class="s">{</span> | |
1957 1944 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
1958 1945 | |
1959 1946 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixEqualOperator: Matrix equal failed"</span><span class="sc">;</span> | |
1960 1947 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
1961 1948 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
1962 1949 | |
1963 1950 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
1964 1951 | |
1965 1952 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1966 1953 | |
1967 1954 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
1968 1955 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
1969 1956 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
1970 1957 | |
1971 1958 <span class="c"># Check sizes...</span> | |
1972 1959 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
1973 1960 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1974 1961 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1975 1962 <span class="s">}</span> | |
1976 1963 | |
1977 1964 <span class="c"># Check values...</span> | |
1978 1965 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1979 1966 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1980 1967 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
1981 1968 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1982 1969 <span class="s">}</span> | |
1983 1970 <span class="s">}</span> | |
1984 1971 <span class="s">}</span> | |
1985 1972 <span class="s">}</span> | |
1986 1973 <span class="k">else</span> <span class="s">{</span> | |
1987 1974 <span class="c"># Scalar comparison...</span> | |
1988 1975 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
1989 1976 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
1990 1977 <span class="s">}</span> | |
1991 1978 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1992 1979 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
1993 1980 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] != <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
1994 1981 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
1995 1982 <span class="s">}</span> | |
1996 1983 <span class="s">}</span> | |
1997 1984 <span class="s">}</span> | |
1998 1985 <span class="s">}</span> | |
1999 1986 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
2000 1987 <span class="s">}</span> | |
2001 1988 | |
2002 1989 <span class="c">#</span> | |
2003 1990 <span class="c"># Matrix not equal operator supports two modes:</span> | |
2004 1991 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
2005 1992 <span class="c"># . Comparing matrix values to a scalar ($Matrix != 2)</span> | |
2006 1993 <span class="c">#</span> | |
2007 1994 <span class="c"># Caveats:</span> | |
2008 1995 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 != $Matrix)</span> | |
2009 1996 <span class="c">#</span> | |
2010 <a name="_MatrixNotEqualOperator-"></a>1997 <span class="k">sub </span><span class="m">_MatrixNotEqualOperator</span> <span class="s">{</span> | |
2011 1998 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2012 1999 | |
2013 2000 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixNotEqualOperator: Matrix not equal failed"</span><span class="sc">;</span> | |
2014 2001 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
2015 2002 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
2016 2003 | |
2017 2004 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2018 2005 | |
2019 2006 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2020 2007 | |
2021 2008 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
2022 2009 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
2023 2010 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2024 2011 | |
2025 2012 <span class="c"># Check sizes...</span> | |
2026 2013 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2027 2014 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2028 2015 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
2029 2016 <span class="s">}</span> | |
2030 2017 | |
2031 2018 <span class="c"># Check values...</span> | |
2032 2019 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2033 2020 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2034 2021 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] == <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
2035 2022 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2036 2023 <span class="s">}</span> | |
2037 2024 <span class="s">}</span> | |
2038 2025 <span class="s">}</span> | |
2039 2026 <span class="s">}</span> | |
2040 2027 <span class="k">else</span> <span class="s">{</span> | |
2041 2028 <span class="c"># Scalar comparison...</span> | |
2042 2029 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
2043 2030 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
2044 2031 <span class="s">}</span> | |
2045 2032 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2046 2033 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2047 2034 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] == <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
2048 2035 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2049 2036 <span class="s">}</span> | |
2050 2037 <span class="s">}</span> | |
2051 2038 <span class="s">}</span> | |
2052 2039 <span class="s">}</span> | |
2053 2040 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
2054 2041 <span class="s">}</span> | |
2055 2042 | |
2056 2043 <span class="c">#</span> | |
2057 2044 <span class="c"># Matrix less than operator supports two modes:</span> | |
2058 2045 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
2059 2046 <span class="c"># . Comparing matrix values to a scalar ($Matrix < 2)</span> | |
2060 2047 <span class="c">#</span> | |
2061 2048 <span class="c"># Caveats:</span> | |
2062 2049 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 < $Matrix)</span> | |
2063 2050 <span class="c">#</span> | |
2064 <a name="_MatrixLessThanOperator-"></a>2051 <span class="k">sub </span><span class="m">_MatrixLessThanOperator</span> <span class="s">{</span> | |
2065 2052 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2066 2053 | |
2067 2054 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixLessThanOperator: Matrix less than failed"</span><span class="sc">;</span> | |
2068 2055 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
2069 2056 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
2070 2057 | |
2071 2058 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2072 2059 | |
2073 2060 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2074 2061 | |
2075 2062 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
2076 2063 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
2077 2064 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2078 2065 | |
2079 2066 <span class="c"># Check sizes...</span> | |
2080 2067 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2081 2068 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2082 2069 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2083 2070 <span class="s">}</span> | |
2084 2071 | |
2085 2072 <span class="c"># Check values...</span> | |
2086 2073 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2087 2074 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2088 2075 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] >= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
2089 2076 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2090 2077 <span class="s">}</span> | |
2091 2078 <span class="s">}</span> | |
2092 2079 <span class="s">}</span> | |
2093 2080 <span class="s">}</span> | |
2094 2081 <span class="k">else</span> <span class="s">{</span> | |
2095 2082 <span class="c"># Scalar comparison...</span> | |
2096 2083 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
2097 2084 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
2098 2085 <span class="s">}</span> | |
2099 2086 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2100 2087 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2101 2088 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] >= <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
2102 2089 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2103 2090 <span class="s">}</span> | |
2104 2091 <span class="s">}</span> | |
2105 2092 <span class="s">}</span> | |
2106 2093 <span class="s">}</span> | |
2107 2094 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
2108 2095 <span class="s">}</span> | |
2109 2096 | |
2110 2097 <span class="c">#</span> | |
2111 2098 <span class="c"># Matrix less than equal operator supports two modes:</span> | |
2112 2099 <span class="c"># . Comparion of corresponding values in two matrices</span> | |
2113 2100 <span class="c"># . Comparing matrix values to a scalar ($Matrix <= 2)</span> | |
2114 2101 <span class="c">#</span> | |
2115 2102 <span class="c"># Caveats:</span> | |
2116 2103 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 <= $Matrix)</span> | |
2117 2104 <span class="c">#</span> | |
2118 <a name="_MatrixLessThanEqualOperator-"></a>2105 <span class="k">sub </span><span class="m">_MatrixLessThanEqualOperator</span> <span class="s">{</span> | |
2119 2106 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2120 2107 | |
2121 2108 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixLessThanEqualOperator: Matrix less than equal failed"</span><span class="sc">;</span> | |
2122 2109 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
2123 2110 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
2124 2111 | |
2125 2112 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2126 2113 | |
2127 2114 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2128 2115 | |
2129 2116 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
2130 2117 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
2131 2118 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2132 2119 | |
2133 2120 <span class="c"># Check sizes...</span> | |
2134 2121 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2135 2122 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2136 2123 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2137 2124 <span class="s">}</span> | |
2138 2125 | |
2139 2126 <span class="c"># Check values...</span> | |
2140 2127 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2141 2128 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2142 2129 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] > <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
2143 2130 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2144 2131 <span class="s">}</span> | |
2145 2132 <span class="s">}</span> | |
2146 2133 <span class="s">}</span> | |
2147 2134 <span class="s">}</span> | |
2148 2135 <span class="k">else</span> <span class="s">{</span> | |
2149 2136 <span class="c"># Scalar comparison...</span> | |
2150 2137 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
2151 2138 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
2152 2139 <span class="s">}</span> | |
2153 2140 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2154 2141 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2155 2142 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] > <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
2156 2143 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2157 2144 <span class="s">}</span> | |
2158 2145 <span class="s">}</span> | |
2159 2146 <span class="s">}</span> | |
2160 2147 <span class="s">}</span> | |
2161 2148 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
2162 2149 <span class="s">}</span> | |
2163 2150 | |
2164 2151 <span class="c">#</span> | |
2165 2152 <span class="c"># Matrix greatar than operator supports two modes:</span> | |
2166 2153 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
2167 2154 <span class="c"># . Comparing matrix values to a scalar ($Matrix > 2)</span> | |
2168 2155 <span class="c">#</span> | |
2169 2156 <span class="c"># Caveats:</span> | |
2170 2157 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 > $Matrix)</span> | |
2171 2158 <span class="c">#</span> | |
2172 <a name="_MatrixGreatarThanOperator-"></a>2159 <span class="k">sub </span><span class="m">_MatrixGreatarThanOperator</span> <span class="s">{</span> | |
2173 2160 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2174 2161 | |
2175 2162 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixGreatarThanOperator: Matrix greatar than failed"</span><span class="sc">;</span> | |
2176 2163 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
2177 2164 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
2178 2165 | |
2179 2166 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2180 2167 | |
2181 2168 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2182 2169 | |
2183 2170 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
2184 2171 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
2185 2172 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2186 2173 | |
2187 2174 <span class="c"># Check sizes...</span> | |
2188 2175 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2189 2176 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2190 2177 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2191 2178 <span class="s">}</span> | |
2192 2179 | |
2193 2180 <span class="c"># Check values...</span> | |
2194 2181 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2195 2182 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2196 2183 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] <= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
2197 2184 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2198 2185 <span class="s">}</span> | |
2199 2186 <span class="s">}</span> | |
2200 2187 <span class="s">}</span> | |
2201 2188 <span class="s">}</span> | |
2202 2189 <span class="k">else</span> <span class="s">{</span> | |
2203 2190 <span class="c"># Scalar comparison...</span> | |
2204 2191 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
2205 2192 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
2206 2193 <span class="s">}</span> | |
2207 2194 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2208 2195 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2209 2196 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] <= <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
2210 2197 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2211 2198 <span class="s">}</span> | |
2212 2199 <span class="s">}</span> | |
2213 2200 <span class="s">}</span> | |
2214 2201 <span class="s">}</span> | |
2215 2202 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
2216 2203 <span class="s">}</span> | |
2217 2204 | |
2218 2205 <span class="c">#</span> | |
2219 2206 <span class="c"># Matrix greatar than equal operator supports two modes:</span> | |
2220 2207 <span class="c"># . Comparison of corresponding values in two matrices</span> | |
2221 2208 <span class="c"># . Comparing matrix values to a scalar ($Matrix >= 2)</span> | |
2222 2209 <span class="c">#</span> | |
2223 2210 <span class="c"># Caveats:</span> | |
2224 2211 <span class="c"># . Comparison of a scalar to matrix values is not allowed (2 >= $Matrix)</span> | |
2225 2212 <span class="c">#</span> | |
2226 <a name="_MatrixGreatarThanEqualOperator-"></a>2213 <span class="k">sub </span><span class="m">_MatrixGreatarThanEqualOperator</span> <span class="s">{</span> | |
2227 2214 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2228 2215 | |
2229 2216 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixGreatarThanEqualOperator: Matrix greatar than equal failed"</span><span class="sc">;</span> | |
2230 2217 <span class="i">$CheckMatrixSizes</span> = <span class="n">0</span><span class="sc">;</span> | |
2231 2218 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
2232 2219 | |
2233 2220 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2234 2221 | |
2235 2222 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2236 2223 | |
2237 2224 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsMatrix</span><span class="s">)</span> <span class="s">{</span> | |
2238 2225 <span class="c"># $OrderFlipped is set to false for two matrices...</span> | |
2239 2226 <span class="k">my</span><span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2240 2227 | |
2241 2228 <span class="c"># Check sizes...</span> | |
2242 2229 <span class="s">(</span><span class="i">$OtherNumOfRows</span><span class="cm">,</span> <span class="i">$OtherNumOfCols</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2243 2230 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows</span> == <span class="i">$OtherNumOfRows</span> && <span class="i">$NumOfCols</span> == <span class="i">$OtherNumOfCols</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2244 2231 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2245 2232 <span class="s">}</span> | |
2246 2233 | |
2247 2234 <span class="c"># Check values...</span> | |
2248 2235 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2249 2236 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2250 2237 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] < <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="s">)</span> <span class="s">{</span> | |
2251 2238 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2252 2239 <span class="s">}</span> | |
2253 2240 <span class="s">}</span> | |
2254 2241 <span class="s">}</span> | |
2255 2242 <span class="s">}</span> | |
2256 2243 <span class="k">else</span> <span class="s">{</span> | |
2257 2244 <span class="c"># Scalar comparison...</span> | |
2258 2245 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> | |
2259 2246 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a matrix..."</span><span class="sc">;</span> | |
2260 2247 <span class="s">}</span> | |
2261 2248 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2262 2249 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2263 2250 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] < <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> | |
2264 2251 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> | |
2265 2252 <span class="s">}</span> | |
2266 2253 <span class="s">}</span> | |
2267 2254 <span class="s">}</span> | |
2268 2255 <span class="s">}</span> | |
2269 2256 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
2270 2257 <span class="s">}</span> | |
2271 2258 | |
2272 2259 <span class="c">#</span> | |
2273 2260 <span class="c"># Matrix negative value operator returns a matrix with values corresponding to</span> | |
2274 2261 <span class="c"># negative values of a matrix</span> | |
2275 2262 <span class="c">#</span> | |
2276 <a name="_MatrixNegativeValueOperator-"></a>2263 <span class="k">sub </span><span class="m">_MatrixNegativeValueOperator</span> <span class="s">{</span> | |
2277 2264 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2278 2265 | |
2279 2266 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixNegativeValueOperator: Matrix negative value operation failed"</span><span class="sc">;</span> | |
2280 2267 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
2281 2268 | |
2282 2269 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2283 2270 | |
2284 2271 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2285 2272 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2286 2273 | |
2287 2274 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2288 2275 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2289 2276 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = - <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
2290 2277 <span class="s">}</span> | |
2291 2278 <span class="s">}</span> | |
2292 2279 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
2293 2280 <span class="s">}</span> | |
2294 2281 | |
2295 2282 <span class="c">#</span> | |
2296 2283 <span class="c"># Matrix absolute value operator returns a matrix with values corresponding to</span> | |
2297 2284 <span class="c"># absolute values of a matrix</span> | |
2298 2285 <span class="c">#</span> | |
2299 <a name="_MatrixAbsoluteValueOperator-"></a>2286 <span class="k">sub </span><span class="m">_MatrixAbsoluteValueOperator</span> <span class="s">{</span> | |
2300 2287 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2301 2288 | |
2302 2289 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixAbsoluteValueOperator: Matrix absolute value operation failed"</span><span class="sc">;</span> | |
2303 2290 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
2304 2291 | |
2305 2292 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2306 2293 | |
2307 2294 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2308 2295 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2309 2296 | |
2310 2297 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2311 2298 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2312 2299 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">abs</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
2313 2300 <span class="s">}</span> | |
2314 2301 <span class="s">}</span> | |
2315 2302 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
2316 2303 <span class="s">}</span> | |
2317 2304 | |
2318 2305 <span class="c">#</span> | |
2319 2306 <span class="c"># Matrix exp natural base operator returns a matrix with values corresponding to</span> | |
2320 2307 <span class="c"># e raised to the power of values in a matrix</span> | |
2321 2308 <span class="c">#</span> | |
2322 <a name="_MatrixExpNaturalBaseOperator-"></a>2309 <span class="k">sub </span><span class="m">_MatrixExpNaturalBaseOperator</span> <span class="s">{</span> | |
2323 2310 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2324 2311 | |
2325 2312 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixExpNaturalBaseOperator: Matrix exp operation failed"</span><span class="sc">;</span> | |
2326 2313 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
2327 2314 | |
2328 2315 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2329 2316 | |
2330 2317 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2331 2318 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2332 2319 | |
2333 2320 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2334 2321 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2335 2322 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">exp</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
2336 2323 <span class="s">}</span> | |
2337 2324 <span class="s">}</span> | |
2338 2325 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
2339 2326 <span class="s">}</span> | |
2340 2327 | |
2341 2328 <span class="c">#</span> | |
2342 2329 <span class="c"># Matrix log natural base operator returns a matrix with values corresponding to</span> | |
2343 2330 <span class="c"># log of values in a matrix</span> | |
2344 2331 <span class="c">#</span> | |
2345 <a name="_MatrixLogNaturalBaseOperator-"></a>2332 <span class="k">sub </span><span class="m">_MatrixLogNaturalBaseOperator</span> <span class="s">{</span> | |
2346 2333 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2347 2334 | |
2348 2335 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixLogNaturalBaseOperator: Matrix log operation failed"</span><span class="sc">;</span> | |
2349 2336 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
2350 2337 | |
2351 2338 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2352 2339 | |
2353 2340 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2354 2341 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2355 2342 | |
2356 2343 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2357 2344 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2358 2345 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">log</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
2359 2346 <span class="s">}</span> | |
2360 2347 <span class="s">}</span> | |
2361 2348 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
2362 2349 <span class="s">}</span> | |
2363 2350 | |
2364 2351 <span class="c">#</span> | |
2365 2352 <span class="c"># Matrix square root operator returns a matrix with values corresponding to</span> | |
2366 2353 <span class="c"># sqrt of values in a matrix</span> | |
2367 2354 <span class="c">#</span> | |
2368 <a name="_MatrixSquareRootOperator-"></a>2355 <span class="k">sub </span><span class="m">_MatrixSquareRootOperator</span> <span class="s">{</span> | |
2369 2356 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2370 2357 | |
2371 2358 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixSquareRootOperator: Matrix sqrt operation failed"</span><span class="sc">;</span> | |
2372 2359 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
2373 2360 | |
2374 2361 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2375 2362 | |
2376 2363 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2377 2364 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2378 2365 | |
2379 2366 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2380 2367 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2381 2368 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">sqrt</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
2382 2369 <span class="s">}</span> | |
2383 2370 <span class="s">}</span> | |
2384 2371 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
2385 2372 <span class="s">}</span> | |
2386 2373 | |
2387 2374 <span class="c">#</span> | |
2388 2375 <span class="c"># Matrix sine root operator returns a matrix with values corresponding to</span> | |
2389 2376 <span class="c"># sin of values in a matrix</span> | |
2390 2377 <span class="c">#</span> | |
2391 <a name="_MatrixSineOperator-"></a>2378 <span class="k">sub </span><span class="m">_MatrixSineOperator</span> <span class="s">{</span> | |
2392 2379 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2393 2380 | |
2394 2381 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixSineOperator: Matrix sin operation failed"</span><span class="sc">;</span> | |
2395 2382 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
2396 2383 | |
2397 2384 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2398 2385 | |
2399 2386 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2400 2387 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2401 2388 | |
2402 2389 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2403 2390 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2404 2391 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">sin</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
2405 2392 <span class="s">}</span> | |
2406 2393 <span class="s">}</span> | |
2407 2394 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
2408 2395 <span class="s">}</span> | |
2409 2396 | |
2410 2397 <span class="c">#</span> | |
2411 2398 <span class="c"># Matrix cosine root operator returns a matrix with values corresponding to</span> | |
2412 2399 <span class="c"># cos of values in a matrix</span> | |
2413 2400 <span class="c">#</span> | |
2414 <a name="_MatrixCosineOperator-"></a>2401 <span class="k">sub </span><span class="m">_MatrixCosineOperator</span> <span class="s">{</span> | |
2415 2402 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> | |
2416 2403 | |
2417 2404 <span class="i">$ErrorMsg</span> = <span class="q">"_MatrixCosineOperator: Matrix cos operation failed"</span><span class="sc">;</span> | |
2418 2405 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> | |
2419 2406 | |
2420 2407 <span class="k">my</span><span class="s">(</span><span class="i">$Matrix</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$ColIndex</span><span class="s">)</span><span class="sc">;</span> | |
2421 2408 | |
2422 2409 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2423 2410 <span class="i">$Matrix</span> = <span class="i">new</span> <span class="i">Matrix</span><span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span><span class="sc">;</span> | |
2424 2411 | |
2425 2412 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2426 2413 <span class="k">for</span> <span class="i">$ColIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfCols</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2427 2414 <span class="i">$Matrix</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>] = <span class="k">cos</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>][<span class="i">$ColIndex</span>]<span class="sc">;</span> | |
2428 2415 <span class="s">}</span> | |
2429 2416 <span class="s">}</span> | |
2430 2417 <span class="k">return</span> <span class="i">$Matrix</span><span class="sc">;</span> | |
2431 2418 <span class="s">}</span> | |
2432 2419 | |
2433 2420 <span class="c"># Turn matrix into array for @{$Matrix} operation...</span> | |
2434 2421 <span class="c">#</span> | |
2435 <a name="_MatrixToArrayOperator-"></a>2422 <span class="k">sub </span><span class="m">_MatrixToArrayOperator</span> <span class="s">{</span> | |
2436 2423 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
2437 2424 | |
2438 2425 <span class="k">return</span> \<span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> | |
2439 2426 <span class="s">}</span> | |
2440 2427 | |
2441 2428 <span class="c"># Always return true in boolean context...</span> | |
2442 2429 <span class="c">#</span> | |
2443 <a name="_BoolifyMatrix-"></a>2430 <span class="k">sub </span><span class="m">_BoolifyMatrix</span> <span class="s">{</span> | |
2444 2431 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
2445 2432 | |
2446 2433 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> | |
2447 2434 <span class="s">}</span> | |
2448 2435 | |
2449 2436 <span class="c"># Process parameters passed to overloaded operators...</span> | |
2450 2437 <span class="c">#</span> | |
2451 2438 <span class="c"># For uninary operators, $SecondParameter is not defined.</span> | |
2452 <a name="_ProcessOverloadedOperatorParameters-"></a>2439 <span class="k">sub </span><span class="m">_ProcessOverloadedOperatorParameters</span> <span class="s">{</span> | |
2453 2440 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="cm">,</span> <span class="i">$ParametersOrderStatus</span><span class="cm">,</span> <span class="i">$CheckMatrixSizesStatus</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
2454 2441 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="cm">,</span> <span class="i">$CheckMatrixSizes</span><span class="s">)</span><span class="sc">;</span> | |
2455 2442 | |
2456 2443 <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="s">)</span> = <span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> | |
2457 2444 <span class="i">$OrderFlipped</span> = <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$ParametersOrderStatus</span><span class="s">)</span> && <span class="i">$ParametersOrderStatus</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
2458 2445 <span class="i">$CheckMatrixSizes</span> = <span class="s">(</span><span class="k">defined</span> <span class="i">$CheckMatrixSizesStatus</span><span class="s">)</span> ? <span class="i">$CheckMatrixSizesStatus</span> <span class="co">:</span> <span class="n">1</span><span class="sc">;</span> | |
2459 2446 | |
2460 2447 <span class="i">_ValidateMatrix</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$This</span><span class="s">)</span><span class="sc">;</span> | |
2461 2448 | |
2462 2449 <span class="i">$OtherIsMatrix</span> = <span class="n">0</span><span class="sc">;</span> | |
2463 2450 <span class="k">if</span> <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$Other</span><span class="s">)</span> && <span class="s">(</span><span class="k">ref</span> <span class="i">$Other</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2464 2451 <span class="c"># Make sure $Other is a matrix...</span> | |
2465 2452 <span class="i">_ValidateMatrix</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$Other</span><span class="s">)</span><span class="sc">;</span> | |
2466 2453 <span class="k">if</span> <span class="s">(</span><span class="i">$CheckMatrixSizes</span><span class="s">)</span> <span class="s">{</span> | |
2467 2454 <span class="i">_ValidateMatrixSizesAreEqual</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="s">)</span><span class="sc">;</span> | |
2468 2455 <span class="s">}</span> | |
2469 2456 <span class="i">$OtherIsMatrix</span> = <span class="n">1</span><span class="sc">;</span> | |
2470 2457 <span class="s">}</span> | |
2471 2458 <span class="k">return</span> <span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Other</span><span class="cm">,</span> <span class="i">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsMatrix</span><span class="s">)</span><span class="sc">;</span> | |
2472 2459 <span class="s">}</span> | |
2473 2460 | |
2474 2461 <span class="c"># Make sure size of the two matrices contain the same number of values...</span> | |
2475 <a name="_ValidateMatrixSizesAreEqual-"></a>2462 <span class="k">sub </span><span class="m">_ValidateMatrixSizesAreEqual</span> <span class="s">{</span> | |
2476 2463 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$Matrix1</span><span class="cm">,</span> <span class="i">$Matrix2</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
2477 2464 <span class="k">my</span><span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols1</span><span class="cm">,</span> <span class="i">$NumOfRows2</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="s">)</span><span class="sc">;</span> | |
2478 2465 | |
2479 2466 <span class="s">(</span><span class="i">$NumOfRows1</span><span class="cm">,</span> <span class="i">$NumOfCols1</span><span class="s">)</span> = <span class="i">$Matrix1</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2480 2467 <span class="s">(</span><span class="i">$NumOfRows2</span><span class="cm">,</span> <span class="i">$NumOfCols2</span><span class="s">)</span> = <span class="i">$Matrix2</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2481 2468 | |
2482 2469 <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$NumOfRows1</span> == <span class="i">$NumOfRows2</span> && <span class="i">$NumOfCols1</span> == <span class="i">$NumOfCols2</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2483 2470 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: Size of the matrices must be same..."</span><span class="sc">;</span> | |
2484 2471 <span class="s">}</span> | |
2485 2472 <span class="s">}</span> | |
2486 2473 | |
2487 2474 <span class="c"># Return a string containing matrix values...</span> | |
2488 2475 <span class="c">#</span> | |
2489 <a name="StringifyMatrix-"></a>2476 <span class="k">sub </span><span class="m">StringifyMatrix</span> <span class="s">{</span> | |
2490 2477 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> | |
2491 2478 <span class="k">my</span><span class="s">(</span><span class="i">$MatrixString</span><span class="cm">,</span> <span class="i">$MatrixPrintStyleValue</span><span class="cm">,</span> <span class="i">$PrintFormat</span><span class="cm">,</span> <span class="i">$AllRowsInOneLine</span><span class="cm">,</span> <span class="i">$FormatString</span><span class="cm">,</span> <span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="cm">,</span> <span class="i">$RowIndex</span><span class="cm">,</span> <span class="i">$RowNum</span><span class="cm">,</span> <span class="i">$RowString</span><span class="cm">,</span> <span class="i">@ValuesFormat</span><span class="s">)</span><span class="sc">;</span> | |
2492 2479 | |
2493 2480 <span class="s">(</span><span class="i">$NumOfRows</span><span class="cm">,</span> <span class="i">$NumOfCols</span><span class="s">)</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> | |
2494 2481 | |
2495 2482 <span class="i">$MatrixPrintStyleValue</span> = <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>->{<span class="w">MatrixPrintStyle</span>}<span class="s">)</span> ? <span class="i">$This</span>->{<span class="w">MatrixPrintStyle</span>} <span class="co">:</span> <span class="i">$MatrixPrintStyle</span><span class="sc">;</span> | |
2496 2483 <span class="i">$AllRowsInOneLine</span> = <span class="s">(</span><span class="i">$MatrixPrintStyleValue</span> =~ <span class="q">/^AllRowsInOneLine$/i</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> | |
2497 2484 | |
2498 2485 <span class="i">$PrintFormat</span> = <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>->{<span class="w">ValueFormat</span>}<span class="s">)</span> ? <span class="i">$This</span>->{<span class="w">ValueFormat</span>} <span class="co">:</span> <span class="i">$ValueFormat</span><span class="sc">;</span> | |
2499 2486 | |
2500 2487 <span class="i">@ValuesFormat</span> = <span class="s">(</span><span class="i">$PrintFormat</span><span class="s">)</span> x <span class="i">$NumOfCols</span><span class="sc">;</span> | |
2501 2488 <span class="i">$FormatString</span> = <span class="k">join</span> <span class="q">' '</span><span class="cm">,</span> <span class="i">@ValuesFormat</span><span class="sc">;</span> | |
2502 2489 | |
2503 2490 <span class="i">$MatrixString</span> = <span class="k">sprintf</span> <span class="q">"<Size: $NumOfRows x $NumOfCols;"</span><span class="sc">;</span> | |
2504 2491 <span class="k">if</span> <span class="s">(</span><span class="i">$AllRowsInOneLine</span><span class="s">)</span> <span class="s">{</span> | |
2505 2492 <span class="i">$MatrixString</span> .= <span class="k">sprintf</span> <span class="q">" Values:"</span><span class="sc">;</span> | |
2506 2493 <span class="s">}</span> | |
2507 2494 <span class="k">else</span> <span class="s">{</span> | |
2508 2495 <span class="i">$MatrixString</span> .= <span class="k">sprintf</span> <span class="q">" Values:\n"</span><span class="sc">;</span> | |
2509 2496 <span class="s">}</span> | |
2510 2497 | |
2511 2498 <span class="i">$RowNum</span> = <span class="n">0</span><span class="sc">;</span> | |
2512 2499 <span class="k">for</span> <span class="i">$RowIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$NumOfRows</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> | |
2513 2500 <span class="i">$RowNum</span>++<span class="sc">;</span> | |
2514 2501 <span class="i">$RowString</span> = <span class="k">sprintf</span> <span class="q">"Row${RowNum}:[$FormatString]"</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$RowIndex</span>]}<span class="sc">;</span> | |
2515 2502 <span class="k">if</span> <span class="s">(</span><span class="i">$AllRowsInOneLine</span><span class="s">)</span> <span class="s">{</span> | |
2516 2503 <span class="i">$MatrixString</span> .= <span class="q">" $RowString"</span><span class="sc">;</span> | |
2517 2504 <span class="s">}</span> | |
2518 2505 <span class="k">else</span> <span class="s">{</span> | |
2519 2506 <span class="i">$MatrixString</span> .= <span class="q">"$RowString\n"</span><span class="sc">;</span> | |
2520 2507 <span class="s">}</span> | |
2521 2508 <span class="s">}</span> | |
2522 2509 <span class="i">$MatrixString</span> .= <span class="q">">"</span><span class="sc">;</span> | |
2523 2510 <span class="k">return</span> <span class="i">$MatrixString</span><span class="sc">;</span> | |
2524 2511 <span class="s">}</span> | |
2525 2512 | |
2526 <a name="EOF-"></a></pre> | |
2527 <p> </p> | |
2528 <br /> | |
2529 <center> | |
2530 <img src="../../../images/h2o2.png"> | |
2531 </center> | |
2532 </body> | |
2533 </html> |