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| author | deepakjadmin |
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| date | Wed, 20 Jan 2016 11:55:01 -0500 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/mayachemtools/docs/modules/html/code/Vector.html Wed Jan 20 11:55:01 2016 -0500 @@ -0,0 +1,1327 @@ +<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>