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<html> <head> <title>MayaChemTools:Code:Vector.pm</title> <meta http-equiv="content-type" content="text/html;charset=utf-8"> <link rel="stylesheet" type="text/css" href="../../../css/MayaChemToolsCode.css"> </head> <body leftmargin="20" rightmargin="20" topmargin="10" bottommargin="10"> <br/> <center> <a href="http://www.mayachemtools.org" title="MayaChemTools Home"><img src="../../../images/MayaChemToolsLogo.gif" border="0" alt="MayaChemTools"></a> </center> <br/> <pre> <a name="package-Vector-"></a> 1 <span class="k">package </span><span class="i">Vector</span><span class="sc">;</span> 2 <span class="c">#</span> 3 <span class="c"># $RCSfile: Vector.pm,v $</span> 4 <span class="c"># $Date: 2015/02/28 20:47:30 $</span> 5 <span class="c"># $Revision: 1.34 $</span> 6 <span class="c">#</span> 7 <span class="c"># Author: Manish Sud <msud@san.rr.com></span> 8 <span class="c">#</span> 9 <span class="c"># Copyright (C) 2015 Manish Sud. All rights reserved.</span> 10 <span class="c">#</span> 11 <span class="c"># This file is part of MayaChemTools.</span> 12 <span class="c">#</span> 13 <span class="c"># MayaChemTools is free software; you can redistribute it and/or modify it under</span> 14 <span class="c"># the terms of the GNU Lesser General Public License as published by the Free</span> 15 <span class="c"># Software Foundation; either version 3 of the License, or (at your option) any</span> 16 <span class="c"># later version.</span> 17 <span class="c">#</span> 18 <span class="c"># MayaChemTools is distributed in the hope that it will be useful, but without</span> 19 <span class="c"># any warranty; without even the implied warranty of merchantability of fitness</span> 20 <span class="c"># for a particular purpose. See the GNU Lesser General Public License for more</span> 21 <span class="c"># details.</span> 22 <span class="c">#</span> 23 <span class="c"># You should have received a copy of the GNU Lesser General Public License</span> 24 <span class="c"># along with MayaChemTools; if not, see <http://www.gnu.org/licenses/> or</span> 25 <span class="c"># write to the Free Software Foundation Inc., 59 Temple Place, Suite 330,</span> 26 <span class="c"># Boston, MA, 02111-1307, USA.</span> 27 <span class="c">#</span> 28 29 <span class="k">use</span> <span class="w">strict</span><span class="sc">;</span> 30 <span class="k">use</span> <span class="w">Carp</span><span class="sc">;</span> 31 <span class="k">use</span> <span class="w">Exporter</span><span class="sc">;</span> 32 <span class="k">use</span> <span class="w">Scalar::Util</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span> 33 <span class="k">use</span> <span class="w">StatisticsUtil</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span> 34 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> 36 37 <span class="i">@ISA</span> = <span class="q">qw(Exporter)</span><span class="sc">;</span> 38 <span class="i">@EXPORT</span> = <span class="q">qw(IsVector UnitXVector UnitYVector UnitZVector UnitVector ZeroVector)</span><span class="sc">;</span> 39 <span class="i">@EXPORT_OK</span> = <span class="q">qw(SetValuePrintFormat)</span><span class="sc">;</span> 40 41 <span class="i">%EXPORT_TAGS</span> = <span class="s">(</span> 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> 43 <span class="s">)</span><span class="sc">;</span> 44 45 <span class="c"># Setup class variables...</span> 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="s">)</span><span class="sc">;</span> 47 <span class="i">_InitializeClass</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 48 49 <span class="c">#</span> 50 <span class="c"># Using the following explicity overloaded operators, Perl automatically generates methods</span> 51 <span class="c"># for operations with no explicitly defined methods. Autogenerated methods are possible for</span> 52 <span class="c"># these operators:</span> 53 <span class="c">#</span> 54 <span class="c"># o Arithmetic operators: += -= *= /= **= %= ++ -- x= .=</span> 55 <span class="c"># o Increment and decrement: ++ --</span> 56 <span class="c">#</span> 57 <span class="c"># 'fallback' is set to 'false' to raise exception for all other operators.</span> 58 <span class="c">#</span> 59 <span class="k">use</span> <span class="w">overload</span> <span class="q">'""'</span> <span class="cm">=></span> <span class="q">'StringifyVector'</span><span class="cm">,</span> 60 61 <span class="q">'0+'</span> <span class="cm">=></span> <span class="q">'_NumifyVector'</span><span class="cm">,</span> 62 63 <span class="q">'@{}'</span> <span class="cm">=></span> <span class="q">'_VectorToArrayOperator'</span><span class="cm">,</span> 64 65 <span class="q">'+'</span> <span class="cm">=></span> <span class="q">'_VectorAdditionOperator'</span><span class="cm">,</span> 66 <span class="q">'-'</span> <span class="cm">=></span> <span class="q">'_VectorSubtractionOperator'</span><span class="cm">,</span> 67 <span class="q">'*'</span> <span class="cm">=></span> <span class="q">'_VectorMultiplicationOperator'</span><span class="cm">,</span> 68 <span class="q">'/'</span> <span class="cm">=></span> <span class="q">'_VectorDivisionOperator'</span><span class="cm">,</span> 69 <span class="q">'**'</span> <span class="cm">=></span> <span class="q">'_VectorExponentiationOperator'</span><span class="cm">,</span> 70 <span class="q">'%'</span> <span class="cm">=></span> <span class="q">'_VectorModulusOperator'</span><span class="cm">,</span> 71 72 <span class="q">'x'</span> <span class="cm">=></span> <span class="q">'_VectorCrossProductOperator'</span><span class="cm">,</span> 73 <span class="q">'.'</span> <span class="cm">=></span> <span class="q">'_VectorDotProductOperator'</span><span class="cm">,</span> 74 75 <span class="q">'bool'</span> <span class="cm">=></span> <span class="q">'_VectorBooleanOperator'</span><span class="cm">,</span> 76 <span class="q">'!'</span> <span class="cm">=></span> <span class="q">'_VectorNotBooleanOperator'</span><span class="cm">,</span> 77 78 <span class="q">'=='</span> <span class="cm">=></span> <span class="q">'_VectorEqualOperator'</span><span class="cm">,</span> 79 <span class="q">'!='</span> <span class="cm">=></span> <span class="q">'_VectorNotEqualOperator'</span><span class="cm">,</span> 80 <span class="q">'<'</span> <span class="cm">=></span> <span class="q">'_VectorLessThanOperator'</span><span class="cm">,</span> 81 <span class="q">'<='</span> <span class="cm">=></span> <span class="q">'_VectorLessThanEqualOperator'</span><span class="cm">,</span> 82 <span class="q">'>'</span> <span class="cm">=></span> <span class="q">'_VectorGreatarThanOperator'</span><span class="cm">,</span> 83 <span class="q">'>='</span> <span class="cm">=></span> <span class="q">'_VectorGreatarThanEqualOperator'</span><span class="cm">,</span> 84 85 <span class="q">'neg'</span> <span class="cm">=></span> <span class="q">'_VectorNegativeValueOperator'</span><span class="cm">,</span> 86 87 <span class="q">'abs'</span> <span class="cm">=></span> <span class="q">'_VectorAbsoluteValueOperator'</span><span class="cm">,</span> 88 <span class="q">'exp'</span> <span class="cm">=></span> <span class="q">'_VectorExpNaturalBaseOperator'</span><span class="cm">,</span> 89 <span class="q">'log'</span> <span class="cm">=></span> <span class="q">'_VectorLogNaturalBaseOperator'</span><span class="cm">,</span> 90 <span class="q">'sqrt'</span> <span class="cm">=></span> <span class="q">'_VectorSquareRootOperator'</span><span class="cm">,</span> 91 <span class="q">'cos'</span> <span class="cm">=></span> <span class="q">'_VectorCosineOperator'</span><span class="cm">,</span> 92 <span class="q">'sin'</span> <span class="cm">=></span> <span class="q">'_VectorSineOperator'</span><span class="cm">,</span> 93 94 <span class="q">'fallback'</span> <span class="cm">=></span> <span class="k">undef</span><span class="sc">;</span> 95 96 <span class="c"># Class constructor...</span> <a name="new-"></a> 97 <span class="k">sub </span><span class="m">new</span> <span class="s">{</span> 98 <span class="k">my</span><span class="s">(</span><span class="i">$Class</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 99 100 <span class="c"># Initialize object...</span> 101 <span class="k">my</span> <span class="i">$This</span> = <span class="s">{</span><span class="s">}</span><span class="sc">;</span> 102 <span class="k">bless</span> <span class="i">$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> 103 <span class="i">$This</span><span class="i">->_InitializeVector</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 104 105 <span class="i">$This</span><span class="i">->_AddValues</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> 106 107 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> 108 <span class="s">}</span> 109 110 <span class="c"># Initialize object data...</span> 111 <span class="c">#</span> <a name="_InitializeVector-"></a> 112 <span class="k">sub </span><span class="m">_InitializeVector</span> <span class="s">{</span> 113 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 114 115 <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> 116 <span class="s">}</span> 117 118 <span class="c"># Initialize class ...</span> <a name="_InitializeClass-"></a> 119 <span class="k">sub </span><span class="m">_InitializeClass</span> <span class="s">{</span> 120 <span class="c">#Class name...</span> 121 <span class="i">$ClassName</span> = <span class="w">__PACKAGE__</span><span class="sc">;</span> 122 123 <span class="c"># Print format for vector values...</span> 124 <span class="i">$ValueFormat</span> = <span class="q">"%g"</span><span class="sc">;</span> 125 <span class="s">}</span> 126 127 <span class="c"># Initialize vector values using:</span> 128 <span class="c"># o List of values</span> 129 <span class="c"># o Reference to an list of values</span> 130 <span class="c"># o Another vector object</span> 131 <span class="c">#</span> <a name="_AddValues-"></a> 132 <span class="k">sub </span><span class="m">_AddValues</span> <span class="s">{</span> 133 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 134 135 <span class="k">if</span> <span class="s">(</span>!<span class="i">@Values</span><span class="s">)</span> <span class="s">{</span> 136 <span class="k">return</span><span class="sc">;</span> 137 <span class="s">}</span> 138 139 <span class="c"># Set vector values...</span> 140 <span class="k">my</span><span class="s">(</span><span class="i">$FirstValue</span><span class="cm">,</span> <span class="i">$TypeOfFirstValue</span><span class="s">)</span><span class="sc">;</span> 141 <span class="i">$FirstValue</span> = <span class="i">$Values</span>[<span class="n">0</span>]<span class="sc">;</span> 142 <span class="i">$TypeOfFirstValue</span> = <span class="k">ref</span> <span class="i">$FirstValue</span><span class="sc">;</span> 143 <span class="k">if</span> <span class="s">(</span><span class="i">$TypeOfFirstValue</span> =~ <span class="q">/^(SCALAR|HASH|CODE|REF|GLOB)/</span><span class="s">)</span> <span class="s">{</span> 144 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->_AddValues: Trying to add values to vector object with a reference to unsupported value format..."</span><span class="sc">;</span> 145 <span class="s">}</span> 146 147 <span class="k">if</span> <span class="s">(</span><span class="i">_IsVector</span><span class="s">(</span><span class="i">$FirstValue</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 148 <span class="c"># Initialize using Vector...</span> 149 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="cm">,</span> <span class="i">@</span>{<span class="i">$FirstValue</span>->{<span class="w">Values</span>}}<span class="sc">;</span> 150 <span class="s">}</span> 151 <span class="k">elsif</span> <span class="s">(</span><span class="i">$TypeOfFirstValue</span> =~ <span class="q">/^ARRAY/</span><span class="s">)</span> <span class="s">{</span> 152 <span class="c"># Initialize using array refernce...</span> 153 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="cm">,</span> <span class="i">@</span>{<span class="i">$FirstValue</span>}<span class="sc">;</span> 154 <span class="s">}</span> 155 <span class="k">else</span> <span class="s">{</span> 156 <span class="c"># It's a list of values...</span> 157 <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="cm">,</span> <span class="i">@Values</span><span class="sc">;</span> 158 <span class="s">}</span> 159 <span class="s">}</span> 160 161 <span class="c"># Add values to a vector using a vector, reference to an array or an array...</span> <a name="AddValues-"></a> 162 <span class="k">sub </span><span class="m">AddValues</span> <span class="s">{</span> 163 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 164 165 <span class="i">$This</span><span class="i">->_AddValues</span><span class="s">(</span><span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> 166 167 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> 168 <span class="s">}</span> 169 170 <span class="c"># Copy vector...</span> <a name="Copy-"></a> 171 <span class="k">sub </span><span class="m">Copy</span> <span class="s">{</span> 172 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 173 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="s">)</span><span class="sc">;</span> 174 175 <span class="c"># Copy vector values...</span> 176 <span class="i">$Vector</span> = <span class="s">(</span><span class="k">ref</span> <span class="i">$This</span><span class="s">)</span><span class="i">->new</span><span class="s">(</span>\<span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="s">)</span><span class="sc">;</span> 177 178 <span class="c"># Copy value format for stringification...</span> 179 <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>->{<span class="w">ValueFormat</span>}<span class="s">)</span> <span class="s">{</span> 180 <span class="i">$Vector</span>->{<span class="w">ValueFormat</span>} = <span class="i">$This</span>->{<span class="w">ValueFormat</span>}<span class="sc">;</span> 181 <span class="s">}</span> 182 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 183 <span class="s">}</span> 184 185 <span class="c"># Get 3D vector length...</span> <a name="GetLength-"></a> 186 <span class="k">sub </span><span class="m">GetLength</span> <span class="s">{</span> 187 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 188 189 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span> != <span class="n">3</span><span class="s">)</span> <span class="s">{</span> 190 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->GetGetLength: Object must be a 3D vector..."</span><span class="sc">;</span> 191 <span class="s">}</span> 192 <span class="k">my</span><span class="s">(</span><span class="i">$Length</span><span class="cm">,</span> <span class="i">$DotProduct</span><span class="s">)</span><span class="sc">;</span> 193 <span class="i">$DotProduct</span> = <span class="i">$This</span> . <span class="i">$This</span><span class="sc">;</span> 194 <span class="i">$Length</span> = <span class="k">sqrt</span> <span class="i">$DotProduct</span><span class="sc">;</span> 195 196 <span class="k">return</span> <span class="i">$Length</span><span class="sc">;</span> 197 <span class="s">}</span> 198 199 <span class="c"># Length of a 3D vector by another name...</span> <a name="GetMagnitude-"></a> 200 <span class="k">sub </span><span class="m">GetMagnitude</span> <span class="s">{</span> 201 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 202 <span class="k">return</span> <span class="i">$This</span><span class="i">->GetLength</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 203 <span class="s">}</span> 204 205 <span class="c"># Normalize 3D vector...</span> <a name="Normalize-"></a> 206 <span class="k">sub </span><span class="m">Normalize</span> <span class="s">{</span> 207 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 208 209 <span class="k">if</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="n">3</span><span class="s">)</span> <span class="s">{</span> 210 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->GetGetLength: Object must be a 3D vector..."</span><span class="sc">;</span> 211 <span class="s">}</span> 212 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$Length</span><span class="s">)</span><span class="sc">;</span> 213 <span class="i">$Length</span> = <span class="i">$This</span><span class="i">->GetLength</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 214 <span class="i">$Vector</span> = <span class="i">$This</span> / <span class="i">$Length</span><span class="sc">;</span> 215 216 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 217 <span class="s">}</span> 218 219 <span class="c"># Is it a vector object?</span> <a name="IsVector-"></a> 220 <span class="k">sub </span><span class="m">IsVector ($)</span> <span class="s">{</span> 221 <span class="k">my</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 222 223 <span class="k">return</span> <span class="i">_IsVector</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span><span class="sc">;</span> 224 <span class="s">}</span> 225 226 <span class="c"># Get size...</span> <a name="GetSize-"></a> 227 <span class="k">sub </span><span class="m">GetSize</span> <span class="s">{</span> 228 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 229 230 <span class="k">return</span> <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> 231 <span class="s">}</span> 232 233 <span class="c"># Get X value of a 3D vector...</span> <a name="GetX-"></a> 234 <span class="k">sub </span><span class="m">GetX</span> <span class="s">{</span> 235 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 236 237 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span> != <span class="n">3</span><span class="s">)</span> <span class="s">{</span> 238 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->GetX: Object must be a 3D vector..."</span><span class="sc">;</span> 239 <span class="s">}</span> 240 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetValue</span><span class="s">(</span><span class="n">0</span><span class="s">)</span><span class="sc">;</span> 241 <span class="s">}</span> 242 243 <span class="c"># Set X value of a 3D vector...</span> <a name="SetX-"></a> 244 <span class="k">sub </span><span class="m">SetX</span> <span class="s">{</span> 245 <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> 246 247 <span class="k">if</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="n">3</span><span class="s">)</span> <span class="s">{</span> 248 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetX: Object must be a 3D vector..."</span><span class="sc">;</span> 249 <span class="s">}</span> 250 <span class="k">return</span> <span class="i">$This</span><span class="i">->_SetValue</span><span class="s">(</span><span class="n">0</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> 251 <span class="s">}</span> 252 253 <span class="c"># Get Y value of a 3D vector...</span> <a name="GetY-"></a> 254 <span class="k">sub </span><span class="m">GetY</span> <span class="s">{</span> 255 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 256 257 <span class="k">if</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="n">3</span><span class="s">)</span> <span class="s">{</span> 258 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->GetY: Object must be a 3D vector..."</span><span class="sc">;</span> 259 <span class="s">}</span> 260 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetValue</span><span class="s">(</span><span class="n">1</span><span class="s">)</span><span class="sc">;</span> 261 <span class="s">}</span> 262 263 <span class="c"># Set Y value of a 3D vector...</span> <a name="SetY-"></a> 264 <span class="k">sub </span><span class="m">SetY</span> <span class="s">{</span> 265 <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> 266 267 <span class="k">if</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="n">3</span><span class="s">)</span> <span class="s">{</span> 268 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetY: Object must be a 3D vector..."</span><span class="sc">;</span> 269 <span class="s">}</span> 270 <span class="k">return</span> <span class="i">$This</span><span class="i">->_SetValue</span><span class="s">(</span><span class="n">1</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> 271 <span class="s">}</span> 272 273 <span class="c"># Get Z value of a 3D vector...</span> <a name="GetZ-"></a> 274 <span class="k">sub </span><span class="m">GetZ</span> <span class="s">{</span> 275 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 276 277 <span class="k">if</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="n">3</span><span class="s">)</span> <span class="s">{</span> 278 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->GetZ: Object must be a 3D vector..."</span><span class="sc">;</span> 279 <span class="s">}</span> 280 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetValue</span><span class="s">(</span><span class="n">2</span><span class="s">)</span><span class="sc">;</span> 281 <span class="s">}</span> 282 283 <span class="c"># Set Z value of a 3D vector...</span> <a name="SetZ-"></a> 284 <span class="k">sub </span><span class="m">SetZ</span> <span class="s">{</span> 285 <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> 286 287 <span class="k">if</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="n">3</span><span class="s">)</span> <span class="s">{</span> 288 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetZ: Object must be a 3D vector..."</span><span class="sc">;</span> 289 <span class="s">}</span> 290 <span class="k">return</span> <span class="i">$This</span><span class="i">->_SetValue</span><span class="s">(</span><span class="n">2</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> 291 <span class="s">}</span> 292 293 <span class="c"># Set XYZ value of a 3D vector using:</span> 294 <span class="c"># o List of values</span> 295 <span class="c"># o Reference to an list of values</span> 296 <span class="c"># o Another vector object</span> 297 <span class="c">#</span> <a name="SetXYZ-"></a> 298 <span class="k">sub </span><span class="m">SetXYZ</span> <span class="s">{</span> 299 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 300 301 <span class="k">if</span> <span class="s">(</span>!<span class="i">@Values</span><span class="s">)</span> <span class="s">{</span> 302 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetXYZ: No values specified..."</span><span class="sc">;</span> 303 <span class="s">}</span> 304 305 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span> != <span class="n">3</span><span class="s">)</span> <span class="s">{</span> 306 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetXYZ: Object must be a 3D vector..."</span><span class="sc">;</span> 307 <span class="s">}</span> 308 309 <span class="c"># Set vector values...</span> 310 <span class="k">my</span><span class="s">(</span><span class="i">$FirstValue</span><span class="cm">,</span> <span class="i">$TypeOfFirstValue</span><span class="s">)</span><span class="sc">;</span> 311 <span class="i">$FirstValue</span> = <span class="i">$Values</span>[<span class="n">0</span>]<span class="sc">;</span> 312 <span class="i">$TypeOfFirstValue</span> = <span class="k">ref</span> <span class="i">$FirstValue</span><span class="sc">;</span> 313 <span class="k">if</span> <span class="s">(</span><span class="i">$TypeOfFirstValue</span> =~ <span class="q">/^(SCALAR|HASH|CODE|REF|GLOB)/</span><span class="s">)</span> <span class="s">{</span> 314 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetXYZ: A reference to unsupported value format specified..."</span><span class="sc">;</span> 315 <span class="s">}</span> 316 317 <span class="k">my</span><span class="s">(</span><span class="i">$X</span><span class="cm">,</span> <span class="i">$Y</span><span class="cm">,</span> <span class="i">$Z</span><span class="s">)</span><span class="sc">;</span> 318 <span class="k">if</span> <span class="s">(</span><span class="i">_IsVector</span><span class="s">(</span><span class="i">$FirstValue</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 319 <span class="c"># SetXYZ using vector...</span> 320 <span class="k">if</span> <span class="s">(</span><span class="i">$FirstValue</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span> != <span class="n">3</span><span class="s">)</span> <span class="s">{</span> 321 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetXYZ: Input object must be a 3D vector..."</span><span class="sc">;</span> 322 <span class="s">}</span> 323 <span class="s">(</span><span class="i">$X</span><span class="cm">,</span> <span class="i">$Y</span><span class="cm">,</span> <span class="i">$Z</span><span class="s">)</span> = <span class="i">@</span>{<span class="i">$FirstValue</span>->{<span class="w">Values</span>}}<span class="sc">;</span> 324 <span class="s">}</span> 325 <span class="k">elsif</span> <span class="s">(</span><span class="i">$TypeOfFirstValue</span> =~ <span class="q">/^ARRAY/</span><span class="s">)</span> <span class="s">{</span> 326 <span class="c"># SetXYZ using array reference...</span> 327 <span class="k">if</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$FirstValue</span>} != <span class="n">3</span><span class="s">)</span> <span class="s">{</span> 328 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetXYZ: Input array reference must correspond to an array with three values..."</span><span class="sc">;</span> 329 <span class="s">}</span> 330 <span class="s">(</span><span class="i">$X</span><span class="cm">,</span> <span class="i">$Y</span><span class="cm">,</span> <span class="i">$Z</span><span class="s">)</span> = <span class="i">@</span>{<span class="i">$FirstValue</span>}<span class="sc">;</span> 331 <span class="s">}</span> 332 <span class="k">else</span> <span class="s">{</span> 333 <span class="c"># It's a list of values...</span> 334 <span class="k">if</span> <span class="s">(</span><span class="i">@Values</span> != <span class="n">3</span><span class="s">)</span> <span class="s">{</span> 335 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetXYZ: Input array must contain three values..."</span><span class="sc">;</span> 336 <span class="s">}</span> 337 <span class="s">(</span><span class="i">$X</span><span class="cm">,</span> <span class="i">$Y</span><span class="cm">,</span> <span class="i">$Z</span><span class="s">)</span> = <span class="i">@Values</span><span class="sc">;</span> 338 <span class="s">}</span> 339 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="n">0</span>] = <span class="i">$X</span><span class="sc">;</span> 340 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="n">1</span>] = <span class="i">$Y</span><span class="sc">;</span> 341 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="n">2</span>] = <span class="i">$Z</span><span class="sc">;</span> 342 343 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> 344 <span class="s">}</span> 345 346 <span class="c"># Get XYZ as an array or a reference to an array...</span> 347 <span class="c">#</span> <a name="GetXYZ-"></a> 348 <span class="k">sub </span><span class="m">GetXYZ</span> <span class="s">{</span> 349 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 350 351 <span class="k">if</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="n">3</span><span class="s">)</span> <span class="s">{</span> 352 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->GetXYZ: Object must be a 3D vector..."</span><span class="sc">;</span> 353 <span class="s">}</span> 354 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}} <span class="co">:</span> \<span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> 355 <span class="s">}</span> 356 357 <span class="c"># Get a specific value from vector with indicies starting from 0..</span> <a name="GetValue-"></a> 358 <span class="k">sub </span><span class="m">GetValue</span> <span class="s">{</span> 359 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 360 361 <span class="k">if</span> <span class="s">(</span><span class="i">$Index</span> < <span class="n">0</span><span class="s">)</span> <span class="s">{</span> 362 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->GetValue: Index value must be a positive number..."</span><span class="sc">;</span> 363 <span class="s">}</span> 364 <span class="k">if</span> <span class="s">(</span><span class="i">$Index</span> >= <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 365 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->GetValue: Index value must be less than size of vector..."</span><span class="sc">;</span> 366 <span class="s">}</span> 367 <span class="k">return</span> <span class="i">$This</span><span class="i">->_GetValue</span><span class="s">(</span><span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 368 <span class="s">}</span> 369 370 <span class="c"># Get a vector value...</span> <a name="_GetValue-"></a> 371 <span class="k">sub </span><span class="m">_GetValue</span> <span class="s">{</span> 372 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 373 374 <span class="k">return</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 375 <span class="s">}</span> 376 377 <span class="c"># Set a specific value in vector with indicies starting from 0..</span> <a name="SetValue-"></a> 378 <span class="k">sub </span><span class="m">SetValue</span> <span class="s">{</span> 379 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Index</span><span class="cm">,</span> <span class="i">$Value</span><span class="cm">,</span> <span class="i">$SkipCheck</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 380 381 <span class="c"># Just set it...</span> 382 <span class="k">if</span> <span class="s">(</span><span class="i">$SkipCheck</span><span class="s">)</span> <span class="s">{</span> 383 <span class="k">return</span> <span class="i">$This</span><span class="i">->_SetValue</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> 384 <span class="s">}</span> 385 386 <span class="c"># Check and set...</span> 387 <span class="k">if</span> <span class="s">(</span><span class="i">$Index</span> < <span class="n">0</span><span class="s">)</span> <span class="s">{</span> 388 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetValue: Index value must be a positive number..."</span><span class="sc">;</span> 389 <span class="s">}</span> 390 <span class="k">if</span> <span class="s">(</span><span class="i">$Index</span> >= <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 391 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->SetValue: Index vaue must be less than size of vector..."</span><span class="sc">;</span> 392 <span class="s">}</span> 393 394 <span class="k">return</span> <span class="i">$This</span><span class="i">->_SetValue</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span><span class="sc">;</span> 395 <span class="s">}</span> 396 397 <span class="c"># Set a vector value...</span> <a name="_SetValue-"></a> 398 <span class="k">sub </span><span class="m">_SetValue</span> <span class="s">{</span> 399 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Index</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 400 401 <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] = <span class="i">$Value</span><span class="sc">;</span> 402 403 <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span> 404 <span class="s">}</span> 405 406 <span class="c"># Return vector values as an array or reference to an array...</span> <a name="GetValues-"></a> 407 <span class="k">sub </span><span class="m">GetValues</span> <span class="s">{</span> 408 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 409 410 <span class="k">return</span> <span class="k">wantarray</span> ? <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}} <span class="co">:</span> \<span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> 411 <span class="s">}</span> 412 413 <span class="c"># Get number of non-zero values in vector...</span> 414 <span class="c">#</span> <a name="GetNumOfNonZeroValues-"></a> 415 <span class="k">sub </span><span class="m">GetNumOfNonZeroValues</span> <span class="s">{</span> 416 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 417 <span class="k">my</span><span class="s">(</span><span class="i">$Count</span><span class="cm">,</span> <span class="i">$Index</span><span class="cm">,</span> <span class="i">$Size</span><span class="s">)</span><span class="sc">;</span> 418 419 <span class="i">$Count</span> = <span class="n">0</span><span class="sc">;</span> 420 <span class="i">$Size</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 421 422 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$Size</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 423 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] != <span class="n">0</span><span class="s">)</span> <span class="s">{</span> 424 <span class="i">$Count</span>++<span class="sc">;</span> 425 <span class="s">}</span> 426 <span class="s">}</span> 427 <span class="k">return</span> <span class="i">$Count</span><span class="sc">;</span> 428 <span class="s">}</span> 429 430 <span class="c"># Get percent of non-zero values...</span> 431 <span class="c">#</span> <a name="GetPercentOfNonZeroValues-"></a> 432 <span class="k">sub </span><span class="m">GetPercentOfNonZeroValues</span> <span class="s">{</span> 433 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 434 435 <span class="k">return</span> <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span> ? <span class="s">(</span><span class="s">(</span><span class="i">$This</span><span class="i">->GetNumOfNonZeroValues</span><span class="s">(</span><span class="s">)</span>/<span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="s">)</span>*<span class="n">100</span><span class="s">)</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span> 436 <span class="s">}</span> 437 438 <span class="c"># Set value print format for an individual object or the whole class...</span> <a name="SetValuePrintFormat-"></a> 439 <span class="k">sub </span><span class="m">SetValuePrintFormat ($;$)</span> <span class="s">{</span> 440 <span class="k">my</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="cm">,</span> <span class="i">$SecondParameter</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 441 442 <span class="k">if</span> <span class="s">(</span><span class="s">(</span><span class="i">@_</span> == <span class="n">2</span><span class="s">)</span> && <span class="s">(</span><span class="i">_IsVector</span><span class="s">(</span><span class="i">$FirstParameter</span><span class="s">)</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 443 <span class="c"># Set value print format for the specific object...</span> 444 <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> 445 446 <span class="i">$This</span>->{<span class="w">ValueFormat</span>} = <span class="i">$ValuePrintFormat</span><span class="sc">;</span> 447 <span class="s">}</span> 448 <span class="k">else</span> <span class="s">{</span> 449 <span class="c"># Set value print format for the class...</span> 450 <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> 451 452 <span class="i">$ValueFormat</span> = <span class="i">$ValuePrintFormat</span><span class="sc">;</span> 453 <span class="s">}</span> 454 <span class="s">}</span> 455 456 <span class="c"># Zero vector of specified size or size 3...</span> <a name="ZeroVector-"></a> 457 <span class="k">sub </span><span class="m">ZeroVector (;$)</span> <span class="s">{</span> 458 <span class="k">my</span><span class="s">(</span><span class="i">$Size</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 459 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> 460 461 <span class="i">$Size</span> = <span class="s">(</span><span class="k">defined</span> <span class="i">$Size</span><span class="s">)</span> ? <span class="i">$Size</span> <span class="co">:</span> <span class="n">3</span><span class="sc">;</span> 462 <span class="i">@Values</span> = <span class="s">(</span><span class="q">'0'</span><span class="s">)</span> x <span class="i">$Size</span><span class="sc">;</span> 463 464 <span class="i">$Vector</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> 465 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 466 <span class="s">}</span> 467 468 <span class="c"># Unit vector of specified size or size 3...</span> <a name="UnitVector-"></a> 469 <span class="k">sub </span><span class="m">UnitVector (;$)</span> <span class="s">{</span> 470 <span class="k">my</span><span class="s">(</span><span class="i">$Size</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 471 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> 472 473 <span class="i">$Size</span> = <span class="s">(</span><span class="k">defined</span> <span class="i">$Size</span><span class="s">)</span> ? <span class="i">$Size</span> <span class="co">:</span> <span class="n">3</span><span class="sc">;</span> 474 <span class="i">@Values</span> = <span class="s">(</span><span class="q">'1'</span><span class="s">)</span> x <span class="i">$Size</span><span class="sc">;</span> 475 476 <span class="i">$Vector</span> = <span class="i">new</span> <span class="i">Vector</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span> 477 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 478 <span class="s">}</span> 479 480 <span class="c"># Unit X vector of size 3...</span> <a name="UnitXVector-"></a> 481 <span class="k">sub </span><span class="m">UnitXVector ()</span> <span class="s">{</span> 482 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="s">)</span><span class="sc">;</span> 483 484 <span class="i">$Vector</span> = <span class="i">new</span> <span class="i">Vector</span><span class="s">(</span><span class="n">1</span><span class="cm">,</span> <span class="n">0</span><span class="cm">,</span> <span class="n">0</span><span class="s">)</span><span class="sc">;</span> 485 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 486 <span class="s">}</span> 487 488 <span class="c"># Unit Y vector of size 3...</span> <a name="UnitYVector-"></a> 489 <span class="k">sub </span><span class="m">UnitYVector ()</span> <span class="s">{</span> 490 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="s">)</span><span class="sc">;</span> 491 492 <span class="i">$Vector</span> = <span class="i">new</span> <span class="i">Vector</span><span class="s">(</span><span class="n">0</span><span class="cm">,</span> <span class="n">1</span><span class="cm">,</span> <span class="n">0</span><span class="s">)</span><span class="sc">;</span> 493 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 494 <span class="s">}</span> 495 496 <span class="c"># Unit Z vector of size 3...</span> <a name="UnitZVector-"></a> 497 <span class="k">sub </span><span class="m">UnitZVector ()</span> <span class="s">{</span> 498 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="s">)</span><span class="sc">;</span> 499 500 <span class="i">$Vector</span> = <span class="i">new</span> <span class="i">Vector</span><span class="s">(</span><span class="n">0</span><span class="cm">,</span> <span class="n">0</span><span class="cm">,</span> <span class="n">1</span><span class="s">)</span><span class="sc">;</span> 501 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 502 <span class="s">}</span> 503 504 <span class="c">#</span> 505 <span class="c"># Vector addition operator supports two addition modes:</span> 506 <span class="c"># . Addition of two vectors by adding corresponding vector values</span> 507 <span class="c"># . Addition of a scalar value to vector values ($Vector + 1)</span> 508 <span class="c">#</span> 509 <span class="c"># Caveats:</span> 510 <span class="c"># . Addition of a vector to scalar is not allowed (1 + $Vector)</span> 511 <span class="c">#</span> <a name="_VectorAdditionOperator-"></a> 512 <span class="k">sub </span><span class="m">_VectorAdditionOperator</span> <span class="s">{</span> 513 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 514 515 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorAdditionOperator: Vector addition failed"</span><span class="sc">;</span> 516 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 517 518 <span class="c"># Do the addition. Order can be ignored: It's a commumative operation.</span> 519 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 520 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 521 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 522 523 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 524 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 525 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 526 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] += <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 527 <span class="s">}</span> 528 <span class="s">}</span> 529 <span class="k">else</span> <span class="s">{</span> 530 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 531 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 532 <span class="s">}</span> 533 <span class="c"># Scalar addition...</span> 534 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 535 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] += <span class="i">$Other</span><span class="sc">;</span> 536 <span class="s">}</span> 537 <span class="s">}</span> 538 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 539 <span class="s">}</span> 540 541 <span class="c">#</span> 542 <span class="c"># Vector subtraction operator supports two subtraction modes:</span> 543 <span class="c"># . Subtraction of two vectors by subtracting corresponding vector values</span> 544 <span class="c"># . Subtraction of a scalar value from vector values ($Vector - 1)</span> 545 <span class="c">#</span> 546 <span class="c"># Caveats:</span> 547 <span class="c"># . Subtraction of a vector from scalar is not allowed (1 - $Vector)</span> 548 <span class="c">#</span> <a name="_VectorSubtractionOperator-"></a> 549 <span class="k">sub </span><span class="m">_VectorSubtractionOperator</span> <span class="s">{</span> 550 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 551 552 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorSubtractionOperator: Vector subtracttion failed"</span><span class="sc">;</span> 553 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 554 555 <span class="c"># Do the subtraction...</span> 556 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 557 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 558 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 559 560 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 561 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 562 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 563 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] -= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 564 <span class="s">}</span> 565 <span class="s">}</span> 566 <span class="k">else</span> <span class="s">{</span> 567 <span class="c"># Scalar subtraction...</span> 568 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 569 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 570 <span class="s">}</span> 571 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 572 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] -= <span class="i">$Other</span><span class="sc">;</span> 573 <span class="s">}</span> 574 <span class="s">}</span> 575 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 576 <span class="s">}</span> 577 578 <span class="c">#</span> 579 <span class="c"># Vector multiplication operator supports two multiplication modes:</span> 580 <span class="c"># . Multiplication of two vectors by multiplying corresponding vector values</span> 581 <span class="c"># . Multiplying vector values by a scalar ($Vector * 1)</span> 582 <span class="c">#</span> 583 <span class="c"># Caveats:</span> 584 <span class="c"># . Multiplication of a scalar by a vector is not allowed (1 * $Vector)</span> 585 <span class="c">#</span> <a name="_VectorMultiplicationOperator-"></a> 586 <span class="k">sub </span><span class="m">_VectorMultiplicationOperator</span> <span class="s">{</span> 587 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 588 589 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorMultiplicationOperator: Vector addition failed"</span><span class="sc">;</span> 590 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 591 592 <span class="c"># Do the multiplication...</span> 593 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 594 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 595 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 596 597 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 598 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 599 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 600 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] *= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 601 <span class="s">}</span> 602 <span class="s">}</span> 603 <span class="k">else</span> <span class="s">{</span> 604 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 605 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 606 <span class="s">}</span> 607 <span class="c"># Scalar multiplication...</span> 608 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 609 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] *= <span class="i">$Other</span><span class="sc">;</span> 610 <span class="s">}</span> 611 <span class="s">}</span> 612 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 613 <span class="s">}</span> 614 615 <span class="c">#</span> 616 <span class="c"># Vector division operator supports two division modes:</span> 617 <span class="c"># . Division of two vectors by dividing corresponding vector values</span> 618 <span class="c"># . Dividing vector values by a scalar ($Vector / 2)</span> 619 <span class="c">#</span> 620 <span class="c"># Caveats:</span> 621 <span class="c"># . Division of a scalar by a vector is not allowed (1 / $Vector)</span> 622 <span class="c">#</span> <a name="_VectorDivisionOperator-"></a> 623 <span class="k">sub </span><span class="m">_VectorDivisionOperator</span> <span class="s">{</span> 624 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 625 626 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorDivisionOperator: Vector division failed"</span><span class="sc">;</span> 627 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 628 629 <span class="c"># Do the division...</span> 630 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 631 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 632 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 633 634 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 635 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 636 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 637 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] /= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 638 <span class="s">}</span> 639 <span class="s">}</span> 640 <span class="k">else</span> <span class="s">{</span> 641 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 642 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 643 <span class="s">}</span> 644 <span class="c"># Scalar divison...</span> 645 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 646 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] /= <span class="i">$Other</span><span class="sc">;</span> 647 <span class="s">}</span> 648 <span class="s">}</span> 649 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 650 <span class="s">}</span> 651 652 <span class="c">#</span> 653 <span class="c"># Vector exponentiation operator supports two exponentiation modes:</span> 654 <span class="c"># . Exponentiation of two vectors by exponentiation of corresponding vector values</span> 655 <span class="c"># . Exponentiation of vector values by a scalar ($Vector ** 2)</span> 656 <span class="c">#</span> 657 <span class="c"># Caveats:</span> 658 <span class="c"># . Exponent of scalar by a vector is not allowed (2 ** $Vector)</span> 659 <span class="c">#</span> <a name="_VectorExponentiationOperator-"></a> 660 <span class="k">sub </span><span class="m">_VectorExponentiationOperator</span> <span class="s">{</span> 661 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 662 663 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorExponentiationOperator: Vector exponentiation failed"</span><span class="sc">;</span> 664 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 665 666 <span class="c"># Do the exponentiation...</span> 667 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 668 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 669 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 670 671 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 672 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 673 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 674 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] **= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 675 <span class="s">}</span> 676 <span class="s">}</span> 677 <span class="k">else</span> <span class="s">{</span> 678 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 679 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 680 <span class="s">}</span> 681 <span class="c"># Scalar exponentiation...</span> 682 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 683 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] **= <span class="i">$Other</span><span class="sc">;</span> 684 <span class="s">}</span> 685 <span class="s">}</span> 686 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 687 <span class="s">}</span> 688 689 <span class="c">#</span> 690 <span class="c"># Vector modulus operator supports two modulus modes:</span> 691 <span class="c"># . Modulus of two vectors by taking modulus between corresponding vector values</span> 692 <span class="c"># . Modulus of vector values by a scalar ($Vector % 2)</span> 693 <span class="c">#</span> 694 <span class="c"># Caveats:</span> 695 <span class="c"># . Modulus of scalar by a vector is not allowed (2 % $Vector)</span> 696 <span class="c">#</span> <a name="_VectorModulusOperator-"></a> 697 <span class="k">sub </span><span class="m">_VectorModulusOperator</span> <span class="s">{</span> 698 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 699 700 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorModulusOperator: Vector exponentiation failed"</span><span class="sc">;</span> 701 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 702 703 <span class="c"># Take the modulus...</span> 704 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 705 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 706 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 707 708 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 709 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 710 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 711 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] %= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 712 <span class="s">}</span> 713 <span class="s">}</span> 714 <span class="k">else</span> <span class="s">{</span> 715 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 716 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 717 <span class="s">}</span> 718 <span class="c"># Scalar modulus...</span> 719 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 720 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] %= <span class="i">$Other</span><span class="sc">;</span> 721 <span class="s">}</span> 722 <span class="s">}</span> 723 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 724 <span class="s">}</span> 725 726 <span class="c">#</span> 727 <span class="c"># Vector dot product operator supports two modes:</span> 728 <span class="c"># . Dot product of two 3D vectors</span> 729 <span class="c"># . Concatenation of a vector and a scalar</span> 730 <span class="c">#</span> <a name="_VectorDotProductOperator-"></a> 731 <span class="k">sub </span><span class="m">_VectorDotProductOperator</span> <span class="s">{</span> 732 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 733 734 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorDotProductOperator: Vector dot product failed"</span><span class="sc">;</span> 735 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 736 737 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 738 <span class="c"># Calculate dot product of two 3D vectors...</span> 739 <span class="k">my</span><span class="s">(</span><span class="i">$DotProduct</span><span class="s">)</span><span class="sc">;</span> 740 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span> != <span class="n">3</span><span class="s">)</span> <span class="s">{</span> 741 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: Both vectors must be 3D vectors..."</span><span class="sc">;</span> 742 <span class="s">}</span> 743 <span class="i">$DotProduct</span> = <span class="i">$This</span><span class="i">->GetX</span><span class="s">(</span><span class="s">)</span> * <span class="i">$Other</span><span class="i">->GetX</span> + <span class="i">$This</span><span class="i">->GetY</span><span class="s">(</span><span class="s">)</span> * <span class="i">$Other</span><span class="i">->GetY</span><span class="s">(</span><span class="s">)</span> + <span class="i">$This</span><span class="i">->GetZ</span> * <span class="i">$Other</span><span class="i">->GetZ</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 744 <span class="k">return</span> <span class="i">$DotProduct</span><span class="sc">;</span> 745 <span class="s">}</span> 746 <span class="k">else</span> <span class="s">{</span> 747 <span class="c"># Do a string concatenation and return the string...</span> 748 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 749 <span class="k">return</span> <span class="i">$Other</span> . <span class="i">$This</span><span class="i">->StringifyVector</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 750 <span class="s">}</span> 751 <span class="k">else</span> <span class="s">{</span> 752 <span class="k">return</span> <span class="i">$This</span><span class="i">->StringifyVector</span><span class="s">(</span><span class="s">)</span> . <span class="i">$Other</span><span class="sc">;</span> 753 <span class="s">}</span> 754 <span class="s">}</span> 755 <span class="s">}</span> 756 757 <span class="c">#</span> 758 <span class="c"># Vector cross product operator genrates a new vector which is the cross</span> 759 <span class="c"># product of two 3D vectors.</span> 760 <span class="c">#</span> 761 <span class="c"># For two vectors, V1 (X1, Y1, Z1) and V2 (X2, Y2, Z2), cross product</span> 762 <span class="c"># V1 x V2 corresponds: (Y1.Z2 - Z1.Y2), (Z1.X2 - X1.Z2), (X1.Y2 - Y1.X2)</span> 763 <span class="c">#</span> <a name="_VectorCrossProductOperator-"></a> 764 <span class="k">sub </span><span class="m">_VectorCrossProductOperator</span> <span class="s">{</span> 765 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 766 767 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorCrossProductOperator: Vector cross product failed"</span><span class="sc">;</span> 768 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 769 770 <span class="k">if</span> <span class="s">(</span>!<span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 771 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: Both object must be vectors..."</span><span class="sc">;</span> 772 <span class="s">}</span> 773 774 <span class="c"># Calculate cross product of two 3D vectors...</span> 775 <span class="k">if</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="n">3</span><span class="s">)</span> <span class="s">{</span> 776 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: Both vectors must be 3D vectors..."</span><span class="sc">;</span> 777 <span class="s">}</span> 778 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$X</span><span class="cm">,</span> <span class="i">$Y</span><span class="cm">,</span> <span class="i">$Z</span><span class="s">)</span><span class="sc">;</span> 779 <span class="i">$X</span> = <span class="i">$This</span><span class="i">->GetY</span><span class="s">(</span><span class="s">)</span> * <span class="i">$Other</span><span class="i">->GetZ</span><span class="s">(</span><span class="s">)</span> - <span class="i">$This</span><span class="i">->GetZ</span><span class="s">(</span><span class="s">)</span> * <span class="i">$Other</span><span class="i">->GetY</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 780 <span class="i">$Y</span> = <span class="i">$This</span><span class="i">->GetZ</span><span class="s">(</span><span class="s">)</span> * <span class="i">$Other</span><span class="i">->GetX</span><span class="s">(</span><span class="s">)</span> - <span class="i">$This</span><span class="i">->GetX</span><span class="s">(</span><span class="s">)</span> * <span class="i">$Other</span><span class="i">->GetZ</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 781 <span class="i">$Z</span> = <span class="i">$This</span><span class="i">->GetX</span><span class="s">(</span><span class="s">)</span> * <span class="i">$Other</span><span class="i">->GetY</span><span class="s">(</span><span class="s">)</span> - <span class="i">$This</span><span class="i">->GetY</span><span class="s">(</span><span class="s">)</span> * <span class="i">$Other</span><span class="i">->GetX</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 782 783 <span class="i">$Vector</span> = <span class="s">(</span><span class="k">ref</span> <span class="i">$This</span><span class="s">)</span><span class="i">->new</span><span class="s">(</span><span class="i">$X</span><span class="cm">,</span> <span class="i">$Y</span><span class="cm">,</span> <span class="i">$Z</span><span class="s">)</span><span class="sc">;</span> 784 785 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 786 <span class="s">}</span> 787 788 <span class="c">#</span> 789 <span class="c"># Vector booelan operator checks whether a vector contains at least one non-zero</span> 790 <span class="c"># value...</span> 791 <span class="c">#</span> <a name="_VectorBooleanOperator-"></a> 792 <span class="k">sub </span><span class="m">_VectorBooleanOperator</span> <span class="s">{</span> 793 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 794 795 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorBooleanOperator: Vector boolean operation failed"</span><span class="sc">;</span> 796 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 797 798 <span class="k">my</span><span class="s">(</span><span class="i">$Size</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 799 <span class="i">$Size</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 800 801 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$Size</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 802 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] != <span class="n">0</span><span class="s">)</span> <span class="s">{</span> 803 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> 804 <span class="s">}</span> 805 <span class="s">}</span> 806 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 807 <span class="s">}</span> 808 809 <span class="c">#</span> 810 <span class="c"># Vector not booelan operator checks whether all values of a vector are zero.</span> 811 <span class="c">#</span> <a name="_VectorNotBooleanOperator-"></a> 812 <span class="k">sub </span><span class="m">_VectorNotBooleanOperator</span> <span class="s">{</span> 813 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 814 815 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorNotBooleanOperator: Vector not boolean operation failed"</span><span class="sc">;</span> 816 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 817 818 <span class="k">my</span><span class="s">(</span><span class="i">$Size</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 819 <span class="i">$Size</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 820 821 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$Size</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 822 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] != <span class="n">0</span><span class="s">)</span> <span class="s">{</span> 823 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 824 <span class="s">}</span> 825 <span class="s">}</span> 826 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> 827 <span class="s">}</span> 828 829 <span class="c">#</span> 830 <span class="c"># Vector equal operator supports two modes:</span> 831 <span class="c"># . Comparion of corresponding values in two vectors</span> 832 <span class="c"># . Comparing vectors values to a scalar ($Vector == 2)</span> 833 <span class="c">#</span> 834 <span class="c"># Caveats:</span> 835 <span class="c"># . Comparison of a scalar to vector values is not allowed (2 == $Vector)</span> 836 <span class="c">#</span> <a name="_VectorEqualOperator-"></a> 837 <span class="k">sub </span><span class="m">_VectorEqualOperator</span> <span class="s">{</span> 838 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$CheckVectorSizes</span><span class="s">)</span><span class="sc">;</span> 839 840 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorEqualOperator: Vector equal comparison failed"</span><span class="sc">;</span> 841 <span class="i">$CheckVectorSizes</span> = <span class="n">0</span><span class="sc">;</span> 842 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckVectorSizes</span><span class="s">)</span><span class="sc">;</span> 843 844 <span class="c"># Do the comparison...</span> 845 <span class="k">my</span><span class="s">(</span><span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 846 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 847 848 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 849 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 850 <span class="k">my</span><span class="s">(</span><span class="i">$OtherSize</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 851 <span class="k">if</span> <span class="s">(</span><span class="i">$ThisSize</span> != <span class="i">$OtherSize</span><span class="s">)</span> <span class="s">{</span> 852 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 853 <span class="s">}</span> 854 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 855 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] != <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="s">)</span> <span class="s">{</span> 856 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 857 <span class="s">}</span> 858 <span class="s">}</span> 859 <span class="s">}</span> 860 <span class="k">else</span> <span class="s">{</span> 861 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 862 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 863 <span class="s">}</span> 864 <span class="c"># Scalar comparison...</span> 865 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 866 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] != <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> 867 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 868 <span class="s">}</span> 869 <span class="s">}</span> 870 <span class="s">}</span> 871 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> 872 <span class="s">}</span> 873 874 <span class="c">#</span> 875 <span class="c"># Vector not equal operator supports two modes:</span> 876 <span class="c"># . Comparion of corresponding values in two vectors</span> 877 <span class="c"># . Comparing vectors values to a scalar ($Vector != 2)</span> 878 <span class="c">#</span> 879 <span class="c"># Caveats:</span> 880 <span class="c"># . Comparison of a scalar to vector values is not allowed (2 != $Vector2)</span> 881 <span class="c">#</span> <a name="_VectorNotEqualOperator-"></a> 882 <span class="k">sub </span><span class="m">_VectorNotEqualOperator</span> <span class="s">{</span> 883 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$CheckVectorSizes</span><span class="s">)</span><span class="sc">;</span> 884 885 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorNotEqualOperator: Vector not equal comparison failed"</span><span class="sc">;</span> 886 <span class="i">$CheckVectorSizes</span> = <span class="n">0</span><span class="sc">;</span> 887 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="cm">,</span> <span class="i">$CheckVectorSizes</span><span class="s">)</span><span class="sc">;</span> 888 889 <span class="c"># Do the comparison...</span> 890 <span class="k">my</span><span class="s">(</span><span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 891 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 892 893 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 894 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 895 <span class="k">my</span><span class="s">(</span><span class="i">$OtherSize</span><span class="s">)</span> = <span class="i">$Other</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 896 <span class="k">if</span> <span class="s">(</span><span class="i">$ThisSize</span> != <span class="i">$OtherSize</span><span class="s">)</span> <span class="s">{</span> 897 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> 898 <span class="s">}</span> 899 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 900 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] == <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="s">)</span> <span class="s">{</span> 901 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 902 <span class="s">}</span> 903 <span class="s">}</span> 904 <span class="s">}</span> 905 <span class="k">else</span> <span class="s">{</span> 906 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 907 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 908 <span class="s">}</span> 909 <span class="c"># Scalar comparison...</span> 910 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 911 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] == <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> 912 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 913 <span class="s">}</span> 914 <span class="s">}</span> 915 <span class="s">}</span> 916 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> 917 <span class="s">}</span> 918 919 <span class="c">#</span> 920 <span class="c"># Vector less than operator supports two modes:</span> 921 <span class="c"># . Comparion of corresponding values in two vectors</span> 922 <span class="c"># . Comparing vectors values to a scalar ($Vector < 2)</span> 923 <span class="c">#</span> 924 <span class="c"># Caveats:</span> 925 <span class="c"># . Comparison of a scalar to vector values is not allowed (2 < $Vector2)</span> 926 <span class="c">#</span> <a name="_VectorLessThanOperator-"></a> 927 <span class="k">sub </span><span class="m">_VectorLessThanOperator</span> <span class="s">{</span> 928 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 929 930 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorLessThanOperator: Vector less than comparison failed"</span><span class="sc">;</span> 931 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 932 933 <span class="c"># Do the comparison...</span> 934 <span class="k">my</span><span class="s">(</span><span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 935 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 936 937 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 938 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 939 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 940 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] >= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="s">)</span> <span class="s">{</span> 941 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 942 <span class="s">}</span> 943 <span class="s">}</span> 944 <span class="s">}</span> 945 <span class="k">else</span> <span class="s">{</span> 946 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 947 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 948 <span class="s">}</span> 949 <span class="c"># Scalar comparison...</span> 950 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 951 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] >= <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> 952 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 953 <span class="s">}</span> 954 <span class="s">}</span> 955 <span class="s">}</span> 956 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> 957 <span class="s">}</span> 958 959 <span class="c">#</span> 960 <span class="c"># Vector less than equla operator supports two modes:</span> 961 <span class="c"># . Comparion of corresponding values in two vectors</span> 962 <span class="c"># . Comparing vectors values to a scalar ($Vector <= 2)</span> 963 <span class="c">#</span> 964 <span class="c"># Caveats:</span> 965 <span class="c"># . Comparison of a scalar to vector values is not allowed (2 <= $Vector2)</span> 966 <span class="c">#</span> <a name="_VectorLessThanEqualOperator-"></a> 967 <span class="k">sub </span><span class="m">_VectorLessThanEqualOperator</span> <span class="s">{</span> 968 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 969 970 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorLessThanEqualOperator: Vector less than equal comparison failed"</span><span class="sc">;</span> 971 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 972 973 <span class="c"># Do the comparison...</span> 974 <span class="k">my</span><span class="s">(</span><span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 975 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 976 977 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 978 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 979 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 980 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] > <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="s">)</span> <span class="s">{</span> 981 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 982 <span class="s">}</span> 983 <span class="s">}</span> 984 <span class="s">}</span> 985 <span class="k">else</span> <span class="s">{</span> 986 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 987 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 988 <span class="s">}</span> 989 <span class="c"># Scalar comparison...</span> 990 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 991 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] > <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> 992 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 993 <span class="s">}</span> 994 <span class="s">}</span> 995 <span class="s">}</span> 996 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> 997 <span class="s">}</span> 998 999 <span class="c">#</span> 1000 <span class="c"># Vector greatar than operator supports two modes:</span> 1001 <span class="c"># . Comparion of corresponding values in two vectors</span> 1002 <span class="c"># . Comparing vectors values to a scalar ($Vector > 2)</span> 1003 <span class="c">#</span> 1004 <span class="c"># Caveats:</span> 1005 <span class="c"># . Comparison of a scalar to vector values is not allowed (2 > $Vector2)</span> 1006 <span class="c">#</span> <a name="_VectorGreatarThanOperator-"></a>1007 <span class="k">sub </span><span class="m">_VectorGreatarThanOperator</span> <span class="s">{</span> 1008 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 1009 1010 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorGreatarThanOperator: Vector greatar than comparison failed"</span><span class="sc">;</span> 1011 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 1012 1013 <span class="c"># Do the comparison...</span> 1014 <span class="k">my</span><span class="s">(</span><span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 1015 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1016 1017 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 1018 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 1019 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1020 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] <= <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="s">)</span> <span class="s">{</span> 1021 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 1022 <span class="s">}</span> 1023 <span class="s">}</span> 1024 <span class="s">}</span> 1025 <span class="k">else</span> <span class="s">{</span> 1026 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 1027 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 1028 <span class="s">}</span> 1029 <span class="c"># Scalar comparison...</span> 1030 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1031 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] <= <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> 1032 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 1033 <span class="s">}</span> 1034 <span class="s">}</span> 1035 <span class="s">}</span> 1036 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> 1037 <span class="s">}</span> 1038 1039 <span class="c">#</span> 1040 <span class="c"># Vector greatar than equal operator supports two modes:</span> 1041 <span class="c"># . Comparion of corresponding values in two vectors</span> 1042 <span class="c"># . Comparing vectors values to a scalar ($Vector >= 2)</span> 1043 <span class="c">#</span> 1044 <span class="c"># Caveats:</span> 1045 <span class="c"># . Comparison of a scalar to vector values is not allowed (2 <= $Vector2)</span> 1046 <span class="c">#</span> <a name="_VectorGreatarThanEqualOperator-"></a>1047 <span class="k">sub </span><span class="m">_VectorGreatarThanEqualOperator</span> <span class="s">{</span> 1048 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 1049 1050 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorGreatarThanEqualOperator: Vector greatar than equal comparison failed"</span><span class="sc">;</span> 1051 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 1052 1053 <span class="c"># Do the comparison...</span> 1054 <span class="k">my</span><span class="s">(</span><span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 1055 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1056 1057 <span class="k">if</span> <span class="s">(</span><span class="i">$OtherIsVector</span><span class="s">)</span> <span class="s">{</span> 1058 <span class="c"># $OrderFlipped is set to false for two vectors...</span> 1059 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1060 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] < <span class="i">$Other</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="s">)</span> <span class="s">{</span> 1061 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 1062 <span class="s">}</span> 1063 <span class="s">}</span> 1064 <span class="s">}</span> 1065 <span class="k">else</span> <span class="s">{</span> 1066 <span class="k">if</span> <span class="s">(</span><span class="i">$OrderFlipped</span><span class="s">)</span> <span class="s">{</span> 1067 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: First object must be a vector..."</span><span class="sc">;</span> 1068 <span class="s">}</span> 1069 <span class="c"># Scalar comparison...</span> 1070 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1071 <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] < <span class="i">$Other</span><span class="s">)</span> <span class="s">{</span> 1072 <span class="k">return</span> <span class="n">0</span><span class="sc">;</span> 1073 <span class="s">}</span> 1074 <span class="s">}</span> 1075 <span class="s">}</span> 1076 <span class="k">return</span> <span class="n">1</span><span class="sc">;</span> 1077 <span class="s">}</span> 1078 1079 <span class="c">#</span> 1080 <span class="c"># Vector negative value operator returns a vector with values corresponding to</span> 1081 <span class="c"># negative values of a vector</span> 1082 <span class="c">#</span> <a name="_VectorNegativeValueOperator-"></a>1083 <span class="k">sub </span><span class="m">_VectorNegativeValueOperator</span> <span class="s">{</span> 1084 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 1085 1086 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorNegativeValueOperator: Vector negative value operation failed"</span><span class="sc">;</span> 1087 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 1088 1089 <span class="c"># Take the negative value...</span> 1090 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 1091 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1092 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1093 1094 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1095 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] = - <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 1096 <span class="s">}</span> 1097 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 1098 <span class="s">}</span> 1099 1100 <span class="c">#</span> 1101 <span class="c"># Vector absolute value operator returns a vector with values corresponding to</span> 1102 <span class="c"># absolute values of a vector</span> 1103 <span class="c">#</span> <a name="_VectorAbsoluteValueOperator-"></a>1104 <span class="k">sub </span><span class="m">_VectorAbsoluteValueOperator</span> <span class="s">{</span> 1105 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 1106 1107 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorAbsoluteValueOperator: Vector absolute value operation failed"</span><span class="sc">;</span> 1108 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 1109 1110 <span class="c"># Take the absolute value...</span> 1111 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 1112 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1113 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1114 1115 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1116 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] = <span class="k">abs</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 1117 <span class="s">}</span> 1118 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 1119 <span class="s">}</span> 1120 1121 <span class="c">#</span> 1122 <span class="c"># Vector exp natural base operator returns a vector with values corresponding to</span> 1123 <span class="c"># e raised to the power of values in a vector</span> 1124 <span class="c">#</span> <a name="_VectorExpNaturalBaseOperator-"></a>1125 <span class="k">sub </span><span class="m">_VectorExpNaturalBaseOperator</span> <span class="s">{</span> 1126 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 1127 1128 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorExpNaturalBaseOperator: Vector exp operation failed"</span><span class="sc">;</span> 1129 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 1130 1131 <span class="c"># Take the absolute value...</span> 1132 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 1133 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1134 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1135 1136 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1137 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] = <span class="k">exp</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 1138 <span class="s">}</span> 1139 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 1140 <span class="s">}</span> 1141 1142 <span class="c">#</span> 1143 <span class="c"># Vector log natural base operator returns a vector with values corresponding to</span> 1144 <span class="c"># log of values in a vector</span> 1145 <span class="c">#</span> <a name="_VectorLogNaturalBaseOperator-"></a>1146 <span class="k">sub </span><span class="m">_VectorLogNaturalBaseOperator</span> <span class="s">{</span> 1147 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 1148 1149 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorLogNaturalBaseOperator: Vector log operation failed"</span><span class="sc">;</span> 1150 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 1151 1152 <span class="c"># Take the absolute value...</span> 1153 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 1154 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1155 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1156 1157 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1158 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] = <span class="k">log</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 1159 <span class="s">}</span> 1160 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 1161 <span class="s">}</span> 1162 1163 <span class="c">#</span> 1164 <span class="c"># Vector cosine operator returns a vector with values corresponding to cosine of values</span> 1165 <span class="c"># in a vector. Input vector values are assumed to be in radians.</span> 1166 <span class="c">#</span> <a name="_VectorCosineOperator-"></a>1167 <span class="k">sub </span><span class="m">_VectorCosineOperator</span> <span class="s">{</span> 1168 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 1169 1170 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorCosineOperator: Vector cos operation failed"</span><span class="sc">;</span> 1171 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 1172 1173 <span class="c"># Take the absolute value...</span> 1174 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 1175 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1176 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1177 1178 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1179 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] = <span class="k">cos</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 1180 <span class="s">}</span> 1181 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 1182 <span class="s">}</span> 1183 1184 <span class="c">#</span> 1185 <span class="c"># Vector sine operator returns a vector with values corresponding to sine of values</span> 1186 <span class="c"># in a vector. Input vector values are assumed to be in radians.</span> 1187 <span class="c">#</span> <a name="_VectorSineOperator-"></a>1188 <span class="k">sub </span><span class="m">_VectorSineOperator</span> <span class="s">{</span> 1189 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 1190 1191 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorSineOperator: Vector sin operation failed"</span><span class="sc">;</span> 1192 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 1193 1194 <span class="c"># Take the absolute value...</span> 1195 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 1196 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1197 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1198 1199 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1200 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] = <span class="k">sin</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 1201 <span class="s">}</span> 1202 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 1203 <span class="s">}</span> 1204 1205 <span class="c">#</span> 1206 <span class="c"># Vector square root returns a vector with values corresponding to sqrt of values</span> 1207 <span class="c"># in a vector.</span> 1208 <span class="c">#</span> <a name="_VectorSquareRootOperator-"></a>1209 <span class="k">sub </span><span class="m">_VectorSquareRootOperator</span> <span class="s">{</span> 1210 <span class="k">my</span><span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="cm">,</span> <span class="i">$ErrorMsg</span><span class="s">)</span><span class="sc">;</span> 1211 1212 <span class="i">$ErrorMsg</span> = <span class="q">"_VectorSquareRootOperator: Vector sqrt operation failed"</span><span class="sc">;</span> 1213 <span class="s">(</span><span class="i">$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">$OtherIsVector</span><span class="s">)</span> = <span class="i">_ProcessOverloadedOperatorParameters</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">@_</span><span class="s">)</span><span class="sc">;</span> 1214 1215 <span class="c"># Take the absolute value...</span> 1216 <span class="k">my</span><span class="s">(</span><span class="i">$Vector</span><span class="cm">,</span> <span class="i">$ThisSize</span><span class="cm">,</span> <span class="i">$Index</span><span class="s">)</span><span class="sc">;</span> 1217 <span class="i">$Vector</span> = <span class="i">$This</span><span class="i">->Copy</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1218 <span class="i">$ThisSize</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1219 1220 <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$ThisSize</span> -<span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1221 <span class="i">$Vector</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>] = <span class="k">sqrt</span> <span class="i">$This</span>->{<span class="w">Values</span>}[<span class="i">$Index</span>]<span class="sc">;</span> 1222 <span class="s">}</span> 1223 <span class="k">return</span> <span class="i">$Vector</span><span class="sc">;</span> 1224 <span class="s">}</span> 1225 1226 <span class="c"># Turn vector into array for @{$Vector} operation...</span> <a name="_VectorToArrayOperator-"></a>1227 <span class="k">sub </span><span class="m">_VectorToArrayOperator</span> <span class="s">{</span> 1228 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 1229 1230 <span class="k">return</span> \<span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> 1231 <span class="s">}</span> 1232 1233 <span class="c"># Turn vector into number for $#Vector operation: It's the size of vector...</span> <a name="_NumifyVector-"></a>1234 <span class="k">sub </span><span class="m">_NumifyVector</span> <span class="s">{</span> 1235 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 1236 1237 <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> 1238 <span class="s">}</span> 1239 1240 <span class="c"># Process parameters passed to overloaded operators...</span> 1241 <span class="c">#</span> 1242 <span class="c"># For uninary operators, $SecondParameter is not defined.</span> <a name="_ProcessOverloadedOperatorParameters-"></a>1243 <span class="k">sub </span><span class="m">_ProcessOverloadedOperatorParameters</span> <span class="s">{</span> 1244 <span class="k">my</span><span class="s">(</span><span class="i">$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">$ParametersOrderStatus</span><span class="cm">,</span> <span class="i">$CheckVectorSizesStatus</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 1245 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="cm">,</span> <span class="i">$CheckVectorSizes</span><span class="s">)</span><span class="sc">;</span> 1246 1247 <span class="s">(</span><span class="i">$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">$SecondParameter</span><span class="s">)</span><span class="sc">;</span> 1248 <span class="i">$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> 1249 <span class="i">$CheckVectorSizes</span> = <span class="s">(</span><span class="k">defined</span> <span class="i">$CheckVectorSizesStatus</span><span class="s">)</span> ? <span class="i">$CheckVectorSizesStatus</span> <span class="co">:</span> <span class="n">1</span><span class="sc">;</span> 1250 1251 <span class="i">_ValidateVector</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$This</span><span class="s">)</span><span class="sc">;</span> 1252 1253 <span class="i">$OtherIsVector</span> = <span class="n">0</span><span class="sc">;</span> 1254 <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> 1255 <span class="c"># Make sure $Other is a vector...</span> 1256 <span class="i">_ValidateVector</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$Other</span><span class="s">)</span><span class="sc">;</span> 1257 <span class="k">if</span> <span class="s">(</span><span class="i">$CheckVectorSizes</span><span class="s">)</span> <span class="s">{</span> 1258 <span class="i">_ValidateVectorSizesAreEqual</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">$Other</span><span class="s">)</span><span class="sc">;</span> 1259 <span class="s">}</span> 1260 <span class="i">$OtherIsVector</span> = <span class="n">1</span><span class="sc">;</span> 1261 <span class="s">}</span> 1262 <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">$OrderFlipped</span><span class="cm">,</span> <span class="i">$OtherIsVector</span><span class="s">)</span><span class="sc">;</span> 1263 <span class="s">}</span> 1264 1265 <span class="c"># Is it a vector object?</span> <a name="_IsVector-"></a>1266 <span class="k">sub </span><span class="m">_IsVector</span> <span class="s">{</span> 1267 <span class="k">my</span><span class="s">(</span><span class="i">$Object</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 1268 1269 <span class="k">return</span> <span class="s">(</span><span class="i">Scalar::Util::blessed</span><span class="s">(</span><span class="i">$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> 1270 <span class="s">}</span> 1271 1272 <span class="c"># Make sure it's a vector reference...</span> <a name="_ValidateVector-"></a>1273 <span class="k">sub </span><span class="m">_ValidateVector</span> <span class="s">{</span> 1274 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$Vector</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 1275 1276 <span class="k">if</span> <span class="s">(</span>!<span class="i">_IsVector</span><span class="s">(</span><span class="i">$Vector</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1277 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: Object must be a vector..."</span><span class="sc">;</span> 1278 <span class="s">}</span> 1279 <span class="s">}</span> 1280 1281 <span class="c"># Make sure size of the two vectors contain the same number of values...</span> <a name="_ValidateVectorSizesAreEqual-"></a>1282 <span class="k">sub </span><span class="m">_ValidateVectorSizesAreEqual</span> <span class="s">{</span> 1283 <span class="k">my</span><span class="s">(</span><span class="i">$ErrorMsg</span><span class="cm">,</span> <span class="i">$Vector1</span><span class="cm">,</span> <span class="i">$Vector2</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 1284 1285 <span class="k">if</span> <span class="s">(</span><span class="i">$Vector1</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span> != <span class="i">$Vector2</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span> 1286 <span class="w">croak</span> <span class="q">"Error: ${ClassName}->${ErrorMsg}: Size of the vectors must be same..."</span><span class="sc">;</span> 1287 <span class="s">}</span> 1288 <span class="s">}</span> 1289 1290 <span class="c"># Return a string containing vector values...</span> <a name="StringifyVector-"></a>1291 <span class="k">sub </span><span class="m">StringifyVector</span> <span class="s">{</span> 1292 <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span> 1293 <span class="k">my</span><span class="s">(</span><span class="i">$VectorString</span><span class="cm">,</span> <span class="i">$FormatString</span><span class="cm">,</span> <span class="i">$PrintFormat</span><span class="cm">,</span> <span class="i">$Size</span><span class="cm">,</span> <span class="i">@ValuesFormat</span><span class="s">)</span><span class="sc">;</span> 1294 1295 <span class="i">$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">$ValueFormat</span><span class="sc">;</span> 1296 1297 <span class="i">@ValuesFormat</span> = <span class="s">(</span><span class="i">$PrintFormat</span><span class="s">)</span> x <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> 1298 <span class="i">$FormatString</span> = <span class="k">join</span> <span class="q">' '</span><span class="cm">,</span> <span class="i">@ValuesFormat</span><span class="sc">;</span> 1299 1300 <span class="i">$Size</span> = <span class="i">$This</span><span class="i">->GetSize</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> 1301 1302 <span class="i">$VectorString</span> = <span class="k">sprintf</span> <span class="q">"<Size: $Size; Values: [ $FormatString ] >"</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$This</span>->{<span class="w">Values</span>}}<span class="sc">;</span> 1303 1304 <span class="k">return</span> <span class="i">$VectorString</span><span class="sc">;</span> 1305 <span class="s">}</span> 1306 <a name="EOF-"></a></pre> <p> </p> <br /> <center> <img src="../../../images/h2o2.png"> </center> </body> </html>