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<a name="package-Fingerprints::PathLengthFingerprints-"></a>   1 <span class="k">package </span><span class="i">Fingerprints::PathLengthFingerprints</span><span class="sc">;</span>
   2 <span class="c">#</span>
   3 <span class="c"># $RCSfile: PathLengthFingerprints.pm,v $</span>
   4 <span class="c"># $Date: 2015/02/28 20:48:54 $</span>
   5 <span class="c"># $Revision: 1.39 $</span>
   6 <span class="c">#</span>
   7 <span class="c"># Author: Manish Sud &lt;msud@san.rr.com&gt;</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 &lt;http://www.gnu.org/licenses/&gt; 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">TextUtil</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
  33 <span class="k">use</span> <span class="w">MathUtil</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
  34 <span class="k">use</span> <span class="w">Fingerprints::Fingerprints</span><span class="sc">;</span>
  35 <span class="k">use</span> <span class="w">Molecule</span><span class="sc">;</span>
  36 <span class="k">use</span> <span class="w">AtomTypes::AtomicInvariantsAtomTypes</span><span class="sc">;</span>
  37 <span class="k">use</span> <span class="w">AtomTypes::DREIDINGAtomTypes</span><span class="sc">;</span>
  38 <span class="k">use</span> <span class="w">AtomTypes::EStateAtomTypes</span><span class="sc">;</span>
  39 <span class="k">use</span> <span class="w">AtomTypes::FunctionalClassAtomTypes</span><span class="sc">;</span>
  40 <span class="k">use</span> <span class="w">AtomTypes::MMFF94AtomTypes</span><span class="sc">;</span>
  41 <span class="k">use</span> <span class="w">AtomTypes::SLogPAtomTypes</span><span class="sc">;</span>
  42 <span class="k">use</span> <span class="w">AtomTypes::SYBYLAtomTypes</span><span class="sc">;</span>
  43 <span class="k">use</span> <span class="w">AtomTypes::TPSAAtomTypes</span><span class="sc">;</span>
  44 <span class="k">use</span> <span class="w">AtomTypes::UFFAtomTypes</span><span class="sc">;</span>
  45 
  46 <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>
  47 
  48 <span class="i">@ISA</span> = <span class="q">qw(Fingerprints::Fingerprints Exporter)</span><span class="sc">;</span>
  49 <span class="i">@EXPORT</span> = <span class="q">qw()</span><span class="sc">;</span>
  50 <span class="i">@EXPORT_OK</span> = <span class="q">qw()</span><span class="sc">;</span>
  51 
  52 <span class="i">%EXPORT_TAGS</span> = <span class="s">(</span><span class="w">all</span>  <span class="cm">=&gt;</span> <span class="s">[</span><span class="i">@EXPORT</span><span class="cm">,</span> <span class="i">@EXPORT_OK</span><span class="s">]</span><span class="s">)</span><span class="sc">;</span>
  53 
  54 <span class="c"># Setup class variables...</span>
  55 <span class="k">my</span><span class="s">(</span><span class="i">$ClassName</span><span class="s">)</span><span class="sc">;</span>
  56 <span class="i">_InitializeClass</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
  57 
  58 <span class="c"># Overload Perl functions...</span>
  59 <span class="k">use</span> <span class="w">overload</span> <span class="q">&#39;&quot;&quot;&#39;</span> <span class="cm">=&gt;</span> <span class="q">&#39;StringifyPathLengthFingerprints&#39;</span><span class="sc">;</span>
  60 
  61 <span class="c"># Class constructor...</span>
<a name="new-"></a>  62 <span class="k">sub </span><span class="m">new</span> <span class="s">{</span>
  63   <span class="k">my</span><span class="s">(</span><span class="i">$Class</span><span class="cm">,</span> <span class="i">%NamesAndValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
  64 
  65   <span class="c"># Initialize object...</span>
  66   <span class="k">my</span> <span class="i">$This</span> = <span class="i">$Class</span><span class="i">-&gt;SUPER::new</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
  67   <span class="k">bless</span> <span class="i">$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>
  68   <span class="i">$This</span><span class="i">-&gt;_InitializePathLengthFingerprints</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
  69 
  70   <span class="i">$This</span><span class="i">-&gt;_InitializePathLengthFingerprintsProperties</span><span class="s">(</span><span class="i">%NamesAndValues</span><span class="s">)</span><span class="sc">;</span>
  71 
  72   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
  73 <span class="s">}</span>
  74 
  75 <span class="c"># Initialize object data...</span>
  76 <span class="c">#</span>
<a name="_InitializePathLengthFingerprints-"></a>  77 <span class="k">sub </span><span class="m">_InitializePathLengthFingerprints</span> <span class="s">{</span>
  78   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
  79 
  80   <span class="c"># Type of fingerprint to generate...</span>
  81   <span class="c">#</span>
  82   <span class="c"># PathLengthBits - A bit vector indicating presence/absence of atom paths</span>
  83   <span class="c"># PathLengthCount - A vector containing count of atom paths</span>
  84   <span class="c">#</span>
  85   <span class="i">$This</span>-&gt;{<span class="w">Type</span>} = <span class="q">&#39;&#39;</span><span class="sc">;</span>
  86 
  87   <span class="c"># Type of vector: FingerprintsBitVector or FingerprintsVector</span>
  88   <span class="i">$This</span>-&gt;{<span class="w">VectorType</span>} = <span class="q">&#39;&#39;</span><span class="sc">;</span>
  89 
  90   <span class="c"># Set default mininum, maximum, and default size. Although any arbitrary size can</span>
  91   <span class="c"># be specified, bit vector used to store bits work on a vector size which is</span>
  92   <span class="c"># power of 2 and additonal bits are automatically added and cleared.</span>
  93   <span class="c">#</span>
  94   <span class="i">$This</span>-&gt;{<span class="w">Size</span>} = <span class="n">1024</span><span class="sc">;</span>
  95 
  96   <span class="i">$This</span>-&gt;{<span class="w">MinSize</span>} = <span class="n">32</span><span class="sc">;</span>
  97   <span class="i">$This</span>-&gt;{<span class="w">MaxSize</span>} = <span class="n">2</span>**<span class="n">32</span><span class="sc">;</span>
  98 
  99   <span class="c"># Minimum and maximum path lengths to use for fingerprints generation...</span>
 100   <span class="i">$This</span>-&gt;{<span class="w">MinLength</span>} = <span class="n">1</span><span class="sc">;</span>
 101   <span class="i">$This</span>-&gt;{<span class="w">MaxLength</span>} = <span class="n">8</span><span class="sc">;</span>
 102 
 103   <span class="c"># Numner of bits to set for each atom path for FingerprintsBitVector...</span>
 104   <span class="i">$This</span>-&gt;{<span class="w">NumOfBitsToSetPerPath</span>} = <span class="n">1</span><span class="sc">;</span>
 105 
 106   <span class="c"># Atom identifier type to use for path atoms during fingerprints generation...</span>
 107   <span class="c">#</span>
 108   <span class="c"># Currently supported values are: AtomicInvariantsAtomTypes, DREIDINGAtomTypes,</span>
 109   <span class="c"># EStateAtomTypes, FunctionalClassAtomTypes, MMFF94AtomTypes, SLogPAtomTypes,</span>
 110   <span class="c"># SYBYLAtomTypes, TPSAAtomTypes, UFFAtomTypes</span>
 111   <span class="c">#</span>
 112   <span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} = <span class="q">&#39;&#39;</span><span class="sc">;</span>
 113 
 114   <span class="c"># Atom types assigned to atoms...</span>
 115   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">AssignedAtomTypes</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 116 
 117   <span class="c"># For molecules containing rings, atom paths starting from each atom can be traversed in four</span>
 118   <span class="c"># different ways:</span>
 119   <span class="c">#</span>
 120   <span class="c"># . Atom paths without any rings and sharing of bonds in traversed paths.</span>
 121   <span class="c"># . Atom paths containing rings and without any sharing of bonds in traversed paths</span>
 122   <span class="c"># . All possible atom paths without any rings and sharing of bonds in traversed paths</span>
 123   <span class="c"># . All possible atom paths containing rings and with sharing of bonds in traversed paths.</span>
 124   <span class="c">#</span>
 125   <span class="c"># Atom path traversal is terminated at the last ring atom. For molecules containing no rings,</span>
 126   <span class="c"># first two and last two types described above are equivalent.</span>
 127   <span class="c">#</span>
 128   <span class="c"># AllowSharedBonds and AllowRings variables allow generation of differen types of paths</span>
 129   <span class="c"># to be used for fingerprints generation.</span>
 130   <span class="c">#</span>
 131   <span class="c"># In addition to atom symbols, bond symbols are also used to generate a string</span>
 132   <span class="c"># for atom paths. These atom paths strings are hased to a 32 bit integer key which</span>
 133   <span class="c"># in turn is used as a seed for a random number generation in range of 1 to fingerprint</span>
 134   <span class="c"># size for setting corresponding bit in bit vector.</span>
 135   <span class="c">#</span>
 136   <span class="c"># UseBondSymbols variable allow generation of atom path strings and consequently fingerprints.</span>
 137   <span class="c">#</span>
 138   <span class="c"># Combination of AllowSharedBonds, AllowRings, and UseBondSymbols allow generation of</span>
 139   <span class="c"># 8 different types of path length fingerprints:</span>
 140   <span class="c">#</span>
 141   <span class="c"># AllowSharedBonds    AllowRings    UseBondSymbols    PathLengthFingerprintsType</span>
 142   <span class="c">#</span>
 143   <span class="c"># No                  No            Yes                AtomPathsNoCyclesWithBondSymbols</span>
 144   <span class="c"># No                  Yes           Yes                AtomPathsWithCyclesWithBondSymbols</span>
 145   <span class="c">#</span>
 146   <span class="c"># Yes                 No            Yes                AllAtomPathsNoCyclesWithBondSymbols</span>
 147   <span class="c"># Yes                 Yes           Yes                AllAtomPathsWithCyclesWithBondSymbols [ DEFAULT ]</span>
 148   <span class="c">#</span>
 149   <span class="c"># No                  No            No                 AtomPathsNoCyclesNoBondSymbols</span>
 150   <span class="c"># No                  Yes           No                 AtomPathsWithCyclesNoBondSymbols</span>
 151   <span class="c">#</span>
 152   <span class="c"># Yes                 No            No                 AllAtomPathsNoCyclesNoBondSymbols</span>
 153   <span class="c"># Yes                 Yes           No                 AllAtomPathsWithCyclesNoWithBondSymbols</span>
 154   <span class="c">#</span>
 155   <span class="c">#</span>
 156 
 157   <span class="c"># By default, atom paths starting from atoms are allowed to share bonds already traversed...</span>
 158   <span class="i">$This</span>-&gt;{<span class="w">AllowSharedBonds</span>} = <span class="n">1</span><span class="sc">;</span>
 159 
 160   <span class="c"># By default rings are included in paths...</span>
 161   <span class="i">$This</span>-&gt;{<span class="w">AllowRings</span>} = <span class="n">1</span><span class="sc">;</span>
 162 
 163   <span class="c"># By default bond symbols are included in atom path strings...</span>
 164   <span class="i">$This</span>-&gt;{<span class="w">UseBondSymbols</span>} = <span class="n">1</span><span class="sc">;</span>
 165 
 166   <span class="c"># By default only structurally unique atom paths are used for generation</span>
 167   <span class="c"># atom path strings...</span>
 168   <span class="i">$This</span>-&gt;{<span class="w">UseUniquePaths</span>} = <span class="n">1</span><span class="sc">;</span>
 169 
 170   <span class="c"># Random number generator to use during generation of fingerprints bit-vector</span>
 171   <span class="c"># string: Perl CORE::rand or MayaChemTools MathUtil::random function.</span>
 172   <span class="c">#</span>
 173   <span class="c"># The random number generator implemented in MayaChemTools is a variant of</span>
 174   <span class="c"># linear congruential generator (LCG) as described by Miller et al. [ Ref 120 ].</span>
 175   <span class="c"># It is also referred to as Lehmer random number generator or Park-Miller</span>
 176   <span class="c"># random number generator.</span>
 177   <span class="c">#</span>
 178   <span class="c"># Unlike Perl&#39;s core random number generator function rand, the random number</span>
 179   <span class="c"># generator implemented in MayaChemTools, MathUtil::random,  generates consistent</span>
 180   <span class="c"># random values across different platformsfor a specific random seed and leads</span>
 181   <span class="c"># to generation of portable fingerprints bit-vector strings.</span>
 182   <span class="c">#</span>
 183   <span class="i">$This</span>-&gt;{<span class="w">UsePerlCoreRandom</span>} = <span class="n">1</span><span class="sc">;</span>
 184 
 185   <span class="c"># Bond symbols to use during generation of atom path strings...</span>
 186   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">BondOrderToSymbol</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 187   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">BondOrderToSymbol</span>}} = <span class="s">(</span><span class="q">&#39;1&#39;</span> <span class="cm">=&gt;</span> <span class="q">&#39;&#39;</span><span class="cm">,</span> <span class="q">&#39;1.5&#39;</span> <span class="cm">=&gt;</span> <span class="q">&#39;:&#39;</span><span class="cm">,</span> <span class="q">&#39;2&#39;</span> <span class="cm">=&gt;</span> <span class="q">&#39;=&#39;</span><span class="cm">,</span> <span class="q">&#39;3&#39;</span> <span class="cm">=&gt;</span> <span class="q">&#39;#&#39;</span><span class="s">)</span><span class="sc">;</span>
 188 
 189   <span class="c"># BondSymbols map to use for bonded atom IDs to use during atom path strings...</span>
 190   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">BondSymbols</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 191 
 192   <span class="c"># Path atom IDs to remove duplicate paths...</span>
 193   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">UniqueLinearAtomPathsIDs</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 194   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">UniqueCyclicAtomPathsIDs</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 195 
 196   <span class="c"># Reference to all the atom paths upto specified path length...</span>
 197   <span class="i">$This</span>-&gt;{<span class="w">AtomPathsRef</span>} = <span class="q">&#39;&#39;</span><span class="sc">;</span>
 198 
 199   <span class="c"># Atom paths strings created using specified atom types and bond symbols...</span>
 200   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 201 <span class="s">}</span>
 202 
 203 <span class="c"># Initialize class ...</span>
<a name="_InitializeClass-"></a> 204 <span class="k">sub </span><span class="m">_InitializeClass</span> <span class="s">{</span>
 205   <span class="c">#Class name...</span>
 206   <span class="i">$ClassName</span> = <span class="w">__PACKAGE__</span><span class="sc">;</span>
 207 <span class="s">}</span>
 208 
 209 <span class="c"># Initialize object properties....</span>
<a name="_InitializePathLengthFingerprintsProperties-"></a> 210 <span class="k">sub </span><span class="m">_InitializePathLengthFingerprintsProperties</span> <span class="s">{</span>
 211   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">%NamesAndValues</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 212 
 213   <span class="k">my</span><span class="s">(</span><span class="i">$Name</span><span class="cm">,</span> <span class="i">$Value</span><span class="cm">,</span> <span class="i">$MethodName</span><span class="s">)</span><span class="sc">;</span>
 214   <span class="k">while</span> <span class="s">(</span><span class="s">(</span><span class="i">$Name</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span> = <span class="k">each</span>  <span class="i">%NamesAndValues</span><span class="s">)</span> <span class="s">{</span>
 215     <span class="i">$MethodName</span> = <span class="q">&quot;Set${Name}&quot;</span><span class="sc">;</span>
 216     <span class="i">$This</span><span class="i">-&gt;$MethodName</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="sc">;</span>
 217   <span class="s">}</span>
 218 
 219   <span class="c"># Make sure molecule object was specified...</span>
 220   <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$NamesAndValues</span>{<span class="w">Molecule</span>}<span class="s">)</span> <span class="s">{</span>
 221     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;New: Object can&#39;t be instantiated without specifying molecule...&quot;</span><span class="sc">;</span>
 222   <span class="s">}</span>
 223 
 224   <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$NamesAndValues</span>{<span class="w">Type</span>}<span class="s">)</span> <span class="s">{</span>
 225     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;New: Object can&#39;t be instantiated without specifying Type...&quot;</span><span class="sc">;</span>
 226   <span class="s">}</span>
 227 
 228   <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$NamesAndValues</span>{<span class="w">AtomIdentifierType</span>}<span class="s">)</span> <span class="s">{</span>
 229     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;New: Object can&#39;t be instantiated without specifying AtomIdentifierType...&quot;</span><span class="sc">;</span>
 230   <span class="s">}</span>
 231 
 232   <span class="c"># Make sure it&#39;s power of 2...</span>
 233   <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$NamesAndValues</span>{<span class="w">Size</span>}<span class="s">)</span> <span class="s">{</span>
 234     <span class="k">if</span> <span class="s">(</span>!<span class="i">TextUtil::IsNumberPowerOfNumber</span><span class="s">(</span><span class="i">$NamesAndValues</span>{<span class="w">Size</span>}<span class="cm">,</span> <span class="n">2</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 235       <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;New: Specified size value, $NamesAndValues{Size}, must be power of 2...&quot;</span><span class="sc">;</span>
 236     <span class="s">}</span>
 237   <span class="s">}</span>
 238 
 239   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">Type</span>} =~ <span class="q">/^PathLengthBits$/i</span><span class="s">)</span> <span class="s">{</span>
 240     <span class="i">$This</span><span class="i">-&gt;_InitializePathLengthBits</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 241   <span class="s">}</span>
 242   <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">Type</span>} =~ <span class="q">/^PathLengthCount$/i</span><span class="s">)</span> <span class="s">{</span>
 243     <span class="i">$This</span><span class="i">-&gt;_InitializePathLengthCount</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 244   <span class="s">}</span>
 245   <span class="k">else</span> <span class="s">{</span>
 246     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;_InitializePathLengthFingerprintsProperties: Unknown PathLength type: $This-&gt;{Type}; Supported PathLength type : PathLengthBits or PathLengthCount......&quot;</span><span class="sc">;</span>
 247   <span class="s">}</span>
 248 
 249   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 250 <span class="s">}</span>
 251 
 252 <span class="c"># Initialize PathLength bits...</span>
 253 <span class="c">#</span>
<a name="_InitializePathLengthBits-"></a> 254 <span class="k">sub </span><span class="m">_InitializePathLengthBits</span> <span class="s">{</span>
 255   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 256 
 257   <span class="c"># Vector type...</span>
 258   <span class="i">$This</span>-&gt;{<span class="w">VectorType</span>} = <span class="q">&#39;FingerprintsBitVector&#39;</span><span class="sc">;</span>
 259 
 260   <span class="i">$This</span><span class="i">-&gt;_InitializeFingerprintsBitVector</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 261 
 262   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 263 <span class="s">}</span>
 264 
 265 <span class="c"># Initialize PathLength key count...</span>
 266 <span class="c">#</span>
<a name="_InitializePathLengthCount-"></a> 267 <span class="k">sub </span><span class="m">_InitializePathLengthCount</span> <span class="s">{</span>
 268   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 269 
 270   <span class="c"># Vector type and type of values...</span>
 271   <span class="i">$This</span>-&gt;{<span class="w">VectorType</span>} = <span class="q">&#39;FingerprintsVector&#39;</span><span class="sc">;</span>
 272   <span class="i">$This</span>-&gt;{<span class="w">FingerprintsVectorType</span>} = <span class="q">&#39;NumericalValues&#39;</span><span class="sc">;</span>
 273 
 274   <span class="i">$This</span><span class="i">-&gt;_InitializeFingerprintsVector</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 275 
 276   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 277 <span class="s">}</span>
 278 
 279 <span class="c"># Set type...</span>
 280 <span class="c">#</span>
<a name="SetType-"></a> 281 <span class="k">sub </span><span class="m">SetType</span> <span class="s">{</span>
 282   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Type</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 283 
 284   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">Type</span>}<span class="s">)</span> <span class="s">{</span>
 285     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetType: Can&#39;t change type:  It&#39;s already set...&quot;</span><span class="sc">;</span>
 286   <span class="s">}</span>
 287 
 288   <span class="k">if</span> <span class="s">(</span><span class="i">$Type</span> =~ <span class="q">/^PathLengthBits$/i</span><span class="s">)</span> <span class="s">{</span>
 289     <span class="i">$This</span>-&gt;{<span class="w">Type</span>} = <span class="q">&#39;PathLengthBits&#39;</span><span class="sc">;</span><span class="sc">;</span>
 290   <span class="s">}</span>
 291   <span class="k">elsif</span> <span class="s">(</span><span class="i">$Type</span> =~ <span class="q">/^PathLengthCount$/i</span><span class="s">)</span> <span class="s">{</span>
 292     <span class="i">$This</span>-&gt;{<span class="w">Type</span>} = <span class="q">&#39;PathLengthCount&#39;</span><span class="sc">;</span><span class="sc">;</span>
 293   <span class="s">}</span>
 294   <span class="k">else</span> <span class="s">{</span>
 295     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetType: Unknown PathLength keys: $Type; Supported PathLength types: PathLengthBits or PathLengthCount...&quot;</span><span class="sc">;</span>
 296   <span class="s">}</span>
 297   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 298 <span class="s">}</span>
 299 
 300 <span class="c"># Disable vector type change...</span>
 301 <span class="c">#</span>
<a name="SetVectorType-"></a> 302 <span class="k">sub </span><span class="m">SetVectorType</span> <span class="s">{</span>
 303   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Type</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 304 
 305   <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetVectorType: Can&#39;t change vector type...&quot;</span><span class="sc">;</span>
 306 
 307   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 308 <span class="s">}</span>
 309 
 310 <span class="c"># Disable vector type change...</span>
 311 <span class="c">#</span>
<a name="SetFingerprintsVectorType-"></a> 312 <span class="k">sub </span><span class="m">SetFingerprintsVectorType</span> <span class="s">{</span>
 313   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Type</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 314 
 315   <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetFingerprintsVectorType: Can&#39;t change fingerprints vector type...&quot;</span><span class="sc">;</span>
 316 
 317   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 318 <span class="s">}</span>
 319 
 320 <span class="c"># Set atom identifier type to use for path length atom identifiers...</span>
 321 <span class="c">#</span>
<a name="SetAtomIdentifierType-"></a> 322 <span class="k">sub </span><span class="m">SetAtomIdentifierType</span> <span class="s">{</span>
 323   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$IdentifierType</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 324 
 325   <span class="k">if</span> <span class="s">(</span><span class="i">$IdentifierType</span> !~ <span class="q">/^(AtomicInvariantsAtomTypes|DREIDINGAtomTypes|EStateAtomTypes|FunctionalClassAtomTypes|MMFF94AtomTypes|SLogPAtomTypes|SYBYLAtomTypes|TPSAAtomTypes|UFFAtomTypes)$/i</span><span class="s">)</span> <span class="s">{</span>
 326     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetAtomIdentifierType: Specified value, $IdentifierType, for AtomIdentifierType is not vaild. Supported types in current release of MayaChemTools: AtomicInvariantsAtomTypes, DREIDINGAtomTypes, EStateAtomTypes, FunctionalClassAtomTypes, MMFF94AtomTypes, SLogPAtomTypes, SYBYLAtomTypes, TPSAAtomTypes, and UFFAtomTypes.&quot;</span><span class="sc">;</span>
 327   <span class="s">}</span>
 328 
 329   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>}<span class="s">)</span> <span class="s">{</span>
 330     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetAtomIdentifierType: Can&#39;t change atom identifier type:  It&#39;s already set...&quot;</span><span class="sc">;</span>
 331   <span class="s">}</span>
 332 
 333   <span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} = <span class="i">$IdentifierType</span><span class="sc">;</span>
 334 
 335   <span class="c"># Initialize atom identifier type information...</span>
 336   <span class="i">$This</span><span class="i">-&gt;_InitializeAtomIdentifierTypeInformation</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 337 
 338   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 339 <span class="s">}</span>
 340 
 341 <span class="c"># Set minimum path length...</span>
 342 <span class="c">#</span>
<a name="SetMinLength-"></a> 343 <span class="k">sub </span><span class="m">SetMinLength</span> <span class="s">{</span>
 344   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 345 
 346   <span class="k">if</span> <span class="s">(</span>!<span class="i">TextUtil::IsPositiveInteger</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 347     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetMinLength: MinLength value, $Value, is not valid:  It must be a positive integer...&quot;</span><span class="sc">;</span>
 348   <span class="s">}</span>
 349   <span class="i">$This</span>-&gt;{<span class="w">MinLength</span>} = <span class="i">$Value</span><span class="sc">;</span>
 350 
 351   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 352 <span class="s">}</span>
 353 
 354 <span class="c"># Set maximum path length...</span>
 355 <span class="c">#</span>
<a name="SetMaxLength-"></a> 356 <span class="k">sub </span><span class="m">SetMaxLength</span> <span class="s">{</span>
 357   <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>
 358 
 359   <span class="k">if</span> <span class="s">(</span>!<span class="i">TextUtil::IsPositiveInteger</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 360     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetMaxLength: MaxLength value, $Value, is not valid:  It must be a positive integer...&quot;</span><span class="sc">;</span>
 361   <span class="s">}</span>
 362   <span class="i">$This</span>-&gt;{<span class="w">MaxLength</span>} = <span class="i">$Value</span><span class="sc">;</span>
 363 
 364   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 365 <span class="s">}</span>
 366 
 367 <span class="c"># Set number of bits to set for each path...</span>
 368 <span class="c">#</span>
<a name="SetNumOfBitsToSetPerPath-"></a> 369 <span class="k">sub </span><span class="m">SetNumOfBitsToSetPerPath</span> <span class="s">{</span>
 370   <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>
 371 
 372   <span class="k">if</span> <span class="s">(</span>!<span class="i">TextUtil::IsPositiveInteger</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 373     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetNumOfBitsToSetPerPath: NumOfBitsToSetPerPath value, $Value, is not valid:  It must be a positive integer...&quot;</span><span class="sc">;</span>
 374   <span class="s">}</span>
 375   <span class="i">$This</span>-&gt;{<span class="w">NumOfBitsToSetPerPath</span>} = <span class="i">$Value</span><span class="sc">;</span>
 376 
 377   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 378 <span class="s">}</span>
 379 
 380 <span class="c"># Generate fingerprints description...</span>
 381 <span class="c">#</span>
<a name="GetDescription-"></a> 382 <span class="k">sub </span><span class="m">GetDescription</span> <span class="s">{</span>
 383   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 384 
 385   <span class="c"># Is description explicity set?</span>
 386   <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">Description</span>}<span class="s">)</span> <span class="s">{</span>
 387     <span class="k">return</span> <span class="i">$This</span>-&gt;{<span class="w">Description</span>}<span class="sc">;</span>
 388   <span class="s">}</span>
 389 
 390   <span class="c"># Generate fingerprints description...</span>
 391 
 392   <span class="k">return</span> <span class="q">&quot;$This-&gt;{Type}:$This-&gt;{AtomIdentifierType}:MinLength$This-&gt;{MinLength}:MaxLength$This-&gt;{MaxLength}&quot;</span><span class="sc">;</span>
 393 <span class="s">}</span>
 394 
 395 <span class="c"># Generate path length fingerprints...</span>
 396 <span class="c">#</span>
<a name="GenerateFingerprints-"></a> 397 <span class="k">sub </span><span class="m">GenerateFingerprints</span> <span class="s">{</span>
 398   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 399 
 400   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">MinLength</span>} &gt; <span class="i">$This</span>-&gt;{<span class="w">MaxLength</span>}<span class="s">)</span> <span class="s">{</span>
 401     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;GenerateFingerprints: No fingerpritns generated: MinLength, $This-&gt;{MinLength}, must be &lt;= MaxLength, $This-&gt;{MaxLength}...&quot;</span><span class="sc">;</span>
 402   <span class="s">}</span>
 403 
 404   <span class="c"># Cache appropriate molecule data...</span>
 405   <span class="i">$This</span><span class="i">-&gt;_SetupMoleculeDataCache</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 406 
 407   <span class="c"># Assign atom types to all atoms...</span>
 408   <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">-&gt;_AssignAtomTypes</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 409     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;GenerateFingerprints: $This-&gt;{AtomIdentifierType} fingerprints generation didn&#39;t succeed: Couldn&#39;t assign valid $This-&gt;{AtomIdentifierType} to all atoms...&quot;</span><span class="sc">;</span>
 410     <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 411   <span class="s">}</span>
 412 
 413   <span class="c"># Setup bond symbol map...</span>
 414   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">UseBondSymbols</span>}<span class="s">)</span> <span class="s">{</span>
 415     <span class="i">$This</span><span class="i">-&gt;_InitializeBondSymbols</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 416   <span class="s">}</span>
 417 
 418   <span class="c"># Generate appropriate atom paths...</span>
 419   <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathsUpToMaxLength</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 420 
 421   <span class="c"># Initialize atom path strings...</span>
 422   <span class="i">$This</span><span class="i">-&gt;_InitializeAtomPathsStrings</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 423 
 424   <span class="c"># Generate appropriate atom path strings for unique atom paths...</span>
 425   <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathsStrings</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 426 
 427   <span class="c"># Set final fingerprints...</span>
 428   <span class="i">$This</span><span class="i">-&gt;_SetFinalFingerprints</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 429 
 430   <span class="c"># Clear cached molecule data...</span>
 431   <span class="i">$This</span><span class="i">-&gt;_ClearMoleculeDataCache</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 432 
 433   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 434 <span class="s">}</span>
 435 
 436 <span class="c"># Assign appropriate atom types to all atoms...</span>
 437 <span class="c">#</span>
<a name="_AssignAtomTypes-"></a> 438 <span class="k">sub </span><span class="m">_AssignAtomTypes</span> <span class="s">{</span>
 439   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 440   <span class="k">my</span><span class="s">(</span><span class="i">$SpecifiedAtomTypes</span><span class="cm">,</span> <span class="i">$Atom</span><span class="cm">,</span> <span class="i">$AtomID</span><span class="cm">,</span> <span class="i">$IgnoreHydrogens</span><span class="s">)</span><span class="sc">;</span>
 441 
 442   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">AssignedAtomTypes</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 443   <span class="i">$IgnoreHydrogens</span> = <span class="n">0</span><span class="sc">;</span>
 444 
 445   <span class="i">$SpecifiedAtomTypes</span> = <span class="k">undef</span><span class="sc">;</span>
 446 
 447   <span class="j">IDENTIFIERTYPE:</span> <span class="s">{</span>
 448     <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^AtomicInvariantsAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
 449       <span class="i">$SpecifiedAtomTypes</span> = <span class="i">new</span> <span class="i">AtomTypes::AtomicInvariantsAtomTypes</span><span class="s">(</span><span class="q">&#39;Molecule&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="cm">,</span> <span class="q">&#39;IgnoreHydrogens&#39;</span> <span class="cm">=&gt;</span> <span class="i">$IgnoreHydrogens</span><span class="cm">,</span> <span class="q">&#39;AtomicInvariantsToUse&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">AtomicInvariantsToUse</span>}<span class="s">)</span><span class="sc">;</span>
 450       <span class="k">last</span> <span class="j">IDENTIFIERTYPE</span><span class="sc">;</span>
 451     <span class="s">}</span>
 452 
 453     <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^DREIDINGAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
 454       <span class="i">$SpecifiedAtomTypes</span> = <span class="i">new</span> <span class="i">AtomTypes::DREIDINGAtomTypes</span><span class="s">(</span><span class="q">&#39;Molecule&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="cm">,</span> <span class="q">&#39;IgnoreHydrogens&#39;</span> <span class="cm">=&gt;</span> <span class="i">$IgnoreHydrogens</span><span class="s">)</span><span class="sc">;</span>
 455       <span class="k">last</span> <span class="j">IDENTIFIERTYPE</span><span class="sc">;</span>
 456     <span class="s">}</span>
 457 
 458     <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^EStateAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
 459       <span class="i">$SpecifiedAtomTypes</span> = <span class="i">new</span> <span class="i">AtomTypes::EStateAtomTypes</span><span class="s">(</span><span class="q">&#39;Molecule&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="cm">,</span> <span class="q">&#39;IgnoreHydrogens&#39;</span> <span class="cm">=&gt;</span> <span class="i">$IgnoreHydrogens</span><span class="s">)</span><span class="sc">;</span>
 460       <span class="k">last</span> <span class="j">IDENTIFIERTYPE</span><span class="sc">;</span>
 461     <span class="s">}</span>
 462 
 463     <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^FunctionalClassAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
 464       <span class="i">$SpecifiedAtomTypes</span> = <span class="i">new</span> <span class="i">AtomTypes::FunctionalClassAtomTypes</span><span class="s">(</span><span class="q">&#39;Molecule&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="cm">,</span> <span class="q">&#39;IgnoreHydrogens&#39;</span> <span class="cm">=&gt;</span> <span class="i">$IgnoreHydrogens</span><span class="cm">,</span> <span class="q">&#39;FunctionalClassesToUse&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">FunctionalClassesToUse</span>}<span class="s">)</span><span class="sc">;</span>
 465       <span class="k">last</span> <span class="j">IDENTIFIERTYPE</span><span class="sc">;</span>
 466     <span class="s">}</span>
 467 
 468     <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^MMFF94AtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
 469       <span class="i">$SpecifiedAtomTypes</span> = <span class="i">new</span> <span class="i">AtomTypes::MMFF94AtomTypes</span><span class="s">(</span><span class="q">&#39;Molecule&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="cm">,</span> <span class="q">&#39;IgnoreHydrogens&#39;</span> <span class="cm">=&gt;</span> <span class="i">$IgnoreHydrogens</span><span class="s">)</span><span class="sc">;</span>
 470       <span class="k">last</span> <span class="j">IDENTIFIERTYPE</span><span class="sc">;</span>
 471     <span class="s">}</span>
 472 
 473     <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^SLogPAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
 474       <span class="i">$SpecifiedAtomTypes</span> = <span class="i">new</span> <span class="i">AtomTypes::SLogPAtomTypes</span><span class="s">(</span><span class="q">&#39;Molecule&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="cm">,</span> <span class="q">&#39;IgnoreHydrogens&#39;</span> <span class="cm">=&gt;</span> <span class="i">$IgnoreHydrogens</span><span class="s">)</span><span class="sc">;</span>
 475       <span class="k">last</span> <span class="j">IDENTIFIERTYPE</span><span class="sc">;</span>
 476     <span class="s">}</span>
 477     <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^SYBYLAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
 478       <span class="i">$SpecifiedAtomTypes</span> = <span class="i">new</span> <span class="i">AtomTypes::SYBYLAtomTypes</span><span class="s">(</span><span class="q">&#39;Molecule&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="cm">,</span> <span class="q">&#39;IgnoreHydrogens&#39;</span> <span class="cm">=&gt;</span> <span class="i">$IgnoreHydrogens</span><span class="s">)</span><span class="sc">;</span>
 479       <span class="k">last</span> <span class="j">IDENTIFIERTYPE</span><span class="sc">;</span>
 480     <span class="s">}</span>
 481 
 482     <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^TPSAAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
 483       <span class="i">$SpecifiedAtomTypes</span> = <span class="i">new</span> <span class="i">AtomTypes::TPSAAtomTypes</span><span class="s">(</span><span class="q">&#39;Molecule&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="cm">,</span> <span class="q">&#39;IgnorePhosphorus&#39;</span> <span class="cm">=&gt;</span> <span class="n">0</span><span class="cm">,</span> <span class="q">&#39;IgnoreSulfur&#39;</span> <span class="cm">=&gt;</span> <span class="n">0</span><span class="s">)</span><span class="sc">;</span>
 484       <span class="k">last</span> <span class="j">IDENTIFIERTYPE</span><span class="sc">;</span>
 485     <span class="s">}</span>
 486 
 487     <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^UFFAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
 488       <span class="i">$SpecifiedAtomTypes</span> = <span class="i">new</span> <span class="i">AtomTypes::UFFAtomTypes</span><span class="s">(</span><span class="q">&#39;Molecule&#39;</span> <span class="cm">=&gt;</span> <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="cm">,</span> <span class="q">&#39;IgnoreHydrogens&#39;</span> <span class="cm">=&gt;</span> <span class="i">$IgnoreHydrogens</span><span class="s">)</span><span class="sc">;</span>
 489       <span class="k">last</span> <span class="j">IDENTIFIERTYPE</span><span class="sc">;</span>
 490     <span class="s">}</span>
 491 
 492     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;_AssignAtomTypes: Unknown atom indentifier type $This-&gt;{AtomIdentifierType}...&quot;</span><span class="sc">;</span>
 493   <span class="s">}</span>
 494 
 495   <span class="c"># Assign atom types...</span>
 496   <span class="i">$SpecifiedAtomTypes</span><span class="i">-&gt;AssignAtomTypes</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 497 
 498   <span class="c"># Make sure atom types assignment is successful...</span>
 499   <span class="k">if</span> <span class="s">(</span>!<span class="i">$SpecifiedAtomTypes</span><span class="i">-&gt;IsAtomTypesAssignmentSuccessful</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 500     <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
 501   <span class="s">}</span>
 502 
 503   <span class="c"># Collect assigned atom types...</span>
 504   <span class="j">ATOM:</span> <span class="k">for</span> <span class="i">$Atom</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Atoms</span>}}<span class="s">)</span> <span class="s">{</span>
 505     <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 506     <span class="i">$This</span>-&gt;{<span class="w">AssignedAtomTypes</span>}{<span class="i">$AtomID</span>} = <span class="i">$SpecifiedAtomTypes</span><span class="i">-&gt;GetAtomType</span><span class="s">(</span><span class="i">$Atom</span><span class="s">)</span><span class="sc">;</span>
 507   <span class="s">}</span>
 508 
 509   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 510 <span class="s">}</span>
 511 
 512 <span class="c"># Setup bond symbol map for atoms to speed up generation of path length identifiers</span>
 513 <span class="c"># during fingerprints generation...</span>
 514 <span class="c">#</span>
<a name="_InitializeBondSymbols-"></a> 515 <span class="k">sub </span><span class="m">_InitializeBondSymbols</span> <span class="s">{</span>
 516   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 517   <span class="k">my</span><span class="s">(</span><span class="i">$Atom1</span><span class="cm">,</span> <span class="i">$Atom2</span><span class="cm">,</span> <span class="i">$AtomID1</span><span class="cm">,</span> <span class="i">$AtomID2</span><span class="cm">,</span> <span class="i">$Bond</span><span class="cm">,</span> <span class="i">$BondSymbol</span><span class="cm">,</span> <span class="i">$BondOrder</span><span class="s">)</span><span class="sc">;</span>
 518 
 519   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">BondSymbols</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 520 
 521   <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">UseBondSymbols</span>}<span class="s">)</span> <span class="s">{</span>
 522     <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 523   <span class="s">}</span>
 524 
 525   <span class="k">for</span> <span class="i">$Bond</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="i">-&gt;GetBonds</span><span class="s">(</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 526     <span class="i">$BondOrder</span> = <span class="i">$Bond</span><span class="i">-&gt;GetBondOrder</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 527     <span class="i">$BondSymbol</span> = <span class="i">$Bond</span><span class="i">-&gt;IsAromatic</span><span class="s">(</span><span class="s">)</span> ? <span class="q">&#39;:&#39;</span> <span class="co">:</span> <span class="s">(</span><span class="k">exists</span><span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">BondOrderToSymbol</span>}{<span class="i">$BondOrder</span>}<span class="s">)</span> ? <span class="i">$This</span>-&gt;{<span class="w">BondOrderToSymbol</span>}{<span class="i">$BondOrder</span>} <span class="co">:</span> <span class="i">$BondOrder</span><span class="s">)</span><span class="sc">;</span>
 528     <span class="s">(</span><span class="i">$Atom1</span><span class="cm">,</span> <span class="i">$Atom2</span><span class="s">)</span> = <span class="i">$Bond</span><span class="i">-&gt;GetAtoms</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 529     <span class="i">$AtomID1</span> = <span class="i">$Atom1</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">$AtomID2</span> = <span class="i">$Atom2</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 530     <span class="k">if</span> <span class="s">(</span><span class="i">$AtomID1</span> &gt; <span class="i">$AtomID2</span><span class="s">)</span> <span class="s">{</span>
 531       <span class="s">(</span><span class="i">$AtomID1</span><span class="cm">,</span> <span class="i">$AtomID2</span><span class="s">)</span> =  <span class="s">(</span><span class="i">$AtomID2</span><span class="cm">,</span> <span class="i">$AtomID1</span><span class="s">)</span><span class="sc">;</span>
 532     <span class="s">}</span>
 533 
 534     <span class="k">if</span> <span class="s">(</span>!<span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">BondSymbols</span>}{<span class="i">$AtomID1</span>}<span class="s">)</span> <span class="s">{</span>
 535       <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">BondSymbols</span>}{<span class="i">$AtomID1</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 536     <span class="s">}</span>
 537     <span class="i">$This</span>-&gt;{<span class="w">BondSymbols</span>}{<span class="i">$AtomID1</span>}{<span class="i">$AtomID2</span>} = <span class="i">$BondSymbol</span><span class="sc">;</span>
 538   <span class="s">}</span>
 539   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 540 <span class="s">}</span>
 541 
 542 <span class="c"># Get appropriate atom paths with length up to MaxLength...</span>
 543 <span class="c">#</span>
<a name="_GenerateAtomPathsUpToMaxLength-"></a> 544 <span class="k">sub </span><span class="m">_GenerateAtomPathsUpToMaxLength</span> <span class="s">{</span>
 545   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 546   <span class="k">my</span><span class="s">(</span><span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$AllowRings</span><span class="cm">,</span> <span class="i">$Molecule</span><span class="cm">,</span> <span class="i">$AtomPathsRef</span><span class="s">)</span><span class="sc">;</span>
 547 
 548   <span class="i">$PathLength</span> = <span class="i">$This</span>-&gt;{<span class="w">MaxLength</span>}<span class="sc">;</span>
 549   <span class="i">$AllowRings</span> = <span class="i">$This</span>-&gt;{<span class="w">AllowRings</span>}<span class="sc">;</span>
 550   <span class="i">$Molecule</span> = <span class="i">$This</span>-&gt;{<span class="w">Molecule</span>}<span class="sc">;</span>
 551 
 552   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AllowSharedBonds</span>}<span class="s">)</span> <span class="s">{</span>
 553     <span class="i">$AtomPathsRef</span> =  <span class="i">$Molecule</span><span class="i">-&gt;GetAllAtomPathsWithLengthUpto</span><span class="s">(</span><span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$AllowRings</span><span class="s">)</span><span class="sc">;</span>
 554   <span class="s">}</span>
 555   <span class="k">else</span> <span class="s">{</span>
 556     <span class="i">$AtomPathsRef</span> = <span class="i">$Molecule</span><span class="i">-&gt;GetAtomPathsWithLengthUpto</span><span class="s">(</span><span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$AllowRings</span><span class="s">)</span><span class="sc">;</span>
 557   <span class="s">}</span>
 558   <span class="i">$This</span>-&gt;{<span class="w">AtomPathsRef</span>} = <span class="i">$AtomPathsRef</span><span class="sc">;</span>
 559 
 560   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 561 <span class="s">}</span>
 562 
 563 <span class="c"># Initialize atom paths strings at various pathlength levels...</span>
 564 <span class="c">#</span>
<a name="_InitializeAtomPathsStrings-"></a> 565 <span class="k">sub </span><span class="m">_InitializeAtomPathsStrings</span> <span class="s">{</span>
 566   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 567   <span class="k">my</span><span class="s">(</span><span class="i">$PathLength</span><span class="s">)</span><span class="sc">;</span>
 568 
 569   <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 570 
 571   <span class="k">for</span> <span class="i">$PathLength</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">MinLength</span>} .. <span class="i">$This</span>-&gt;{<span class="w">MaxLength</span>}<span class="s">)</span> <span class="s">{</span>
 572     <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 573   <span class="s">}</span>
 574 
 575   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 576 <span class="s">}</span>
 577 
 578 <span class="c"># Generate appropriate atom path strings for unique atom paths...</span>
 579 <span class="c">#</span>
<a name="_GenerateAtomPathsStrings-"></a> 580 <span class="k">sub </span><span class="m">_GenerateAtomPathsStrings</span> <span class="s">{</span>
 581   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 582   <span class="k">my</span><span class="s">(</span><span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$MinPathLength</span><span class="cm">,</span> <span class="i">$UseUniquePaths</span><span class="s">)</span><span class="sc">;</span>
 583 
 584   <span class="i">$MinPathLength</span> = <span class="i">$This</span>-&gt;{<span class="w">MinLength</span>}<span class="sc">;</span>
 585   <span class="i">$UseUniquePaths</span> = <span class="i">$This</span>-&gt;{<span class="w">UseUniquePaths</span>}<span class="sc">;</span>
 586 
 587   <span class="j">PATHATOMS:</span> <span class="k">for</span> <span class="i">$PathAtomsRef</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomPathsRef</span>}}<span class="s">)</span> <span class="s">{</span>
 588     <span class="i">$PathLength</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="sc">;</span>
 589     <span class="k">if</span> <span class="s">(</span><span class="i">$PathLength</span> &lt; <span class="i">$MinPathLength</span><span class="s">)</span> <span class="s">{</span>
 590       <span class="k">next</span> <span class="j">PATHATOMS</span><span class="sc">;</span>
 591     <span class="s">}</span>
 592     <span class="k">if</span> <span class="s">(</span><span class="i">$UseUniquePaths</span><span class="s">)</span> <span class="s">{</span>
 593       <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathStringUsingUniquePath</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="sc">;</span>
 594     <span class="s">}</span>
 595     <span class="k">else</span> <span class="s">{</span>
 596       <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathString</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="sc">;</span>
 597     <span class="s">}</span>
 598   <span class="s">}</span>
 599   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 600 <span class="s">}</span>
 601 
 602 <span class="c"># Generate atom path string using unique path...</span>
 603 <span class="c">#</span>
<a name="_GenerateAtomPathStringUsingUniquePath-"></a> 604 <span class="k">sub </span><span class="m">_GenerateAtomPathStringUsingUniquePath</span> <span class="s">{</span>
 605   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 606 
 607   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AllowRings</span>} &amp;&amp; <span class="i">$This</span><span class="i">-&gt;_DoesAtomPathContainsCycle</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 608     <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathStringUsingUniquePathContainingCycle</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="sc">;</span>
 609   <span class="s">}</span>
 610   <span class="k">else</span> <span class="s">{</span>
 611     <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathStringUsingUniqueLinearPath</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="sc">;</span>
 612   <span class="s">}</span>
 613   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 614 <span class="s">}</span>
 615 
 616 <span class="c"># Generate atom path string for specified path containing no cycle...</span>
 617 <span class="c">#</span>
<a name="_GenerateAtomPathStringUsingUniqueLinearPath-"></a> 618 <span class="k">sub </span><span class="m">_GenerateAtomPathStringUsingUniqueLinearPath</span> <span class="s">{</span>
 619   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 620 
 621   <span class="c"># Is it a unique linear atom path?</span>
 622   <span class="c">#</span>
 623   <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">-&gt;_IsUniqueLinearAtomPath</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 624     <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 625   <span class="s">}</span>
 626   <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathString</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="sc">;</span>
 627 
 628   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 629 <span class="s">}</span>
 630 
 631 <span class="c"># Is it a structurally unique linear path?</span>
 632 <span class="c">#</span>
 633 <span class="c"># For a path to be structurally unique, all of its atom IDs must be diffferent from any</span>
 634 <span class="c"># earlier path atom IDs. In order to generate atom path atom ID invariant of the atom</span>
 635 <span class="c"># order in the molecule, atom IDs are sorted numerically before generating the path ID.</span>
 636 <span class="c">#</span>
 637 <span class="c"># Notes:</span>
 638 <span class="c">#   . Atom path ID doesn&#39;t reflect the order of atoms in the atom path.</span>
 639 <span class="c">#</span>
<a name="_IsUniqueLinearAtomPath-"></a> 640 <span class="k">sub </span><span class="m">_IsUniqueLinearAtomPath</span> <span class="s">{</span>
 641   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 642   <span class="k">my</span><span class="s">(</span><span class="i">$AtomPathID</span><span class="cm">,</span> <span class="i">$PathLength</span><span class="cm">,</span> <span class="i">@PathAtomIDs</span><span class="s">)</span><span class="sc">;</span>
 643 
 644   <span class="i">@PathAtomIDs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 645   <span class="i">@PathAtomIDs</span> = <span class="k">map</span> <span class="s">{</span> <span class="i">$_</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="s">}</span> <span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="sc">;</span>
 646 
 647   <span class="i">$AtomPathID</span> = <span class="k">join</span> <span class="q">&#39;-&#39;</span><span class="cm">,</span> <span class="k">sort</span> <span class="s">{</span> <span class="i">$a</span> &lt;=&gt; <span class="i">$b</span> <span class="s">}</span> <span class="i">@PathAtomIDs</span><span class="sc">;</span>
 648   <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">UniqueLinearAtomPathsIDs</span>}{<span class="i">$AtomPathID</span>}<span class="s">)</span> <span class="s">{</span>
 649     <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
 650   <span class="s">}</span>
 651 
 652   <span class="c"># It&#39;s a unique atom path...</span>
 653   <span class="i">$This</span>-&gt;{<span class="w">UniqueLinearAtomPathsIDs</span>}{<span class="i">$AtomPathID</span>} = <span class="n">1</span><span class="sc">;</span>
 654 
 655   <span class="k">return</span> <span class="n">1</span><span class="sc">;</span>
 656 <span class="s">}</span>
 657 
 658 <span class="c"># Generate atom path string for specified path containing a cycle...</span>
 659 <span class="c">#</span>
<a name="_GenerateAtomPathStringUsingUniquePathContainingCycle-"></a> 660 <span class="k">sub </span><span class="m">_GenerateAtomPathStringUsingUniquePathContainingCycle</span> <span class="s">{</span>
 661   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 662 
 663   <span class="c"># Is it a unique atom path containing a cycle?</span>
 664   <span class="c">#</span>
 665   <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span><span class="i">-&gt;_IsUniqueAtomPathContainingCycle</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 666     <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 667   <span class="s">}</span>
 668 
 669   <span class="k">my</span><span class="s">(</span><span class="i">$CycleClosingPathAtomIndex</span><span class="s">)</span><span class="sc">;</span>
 670   <span class="s">(</span><span class="i">$CycleClosingPathAtomIndex</span><span class="s">)</span> = <span class="i">$This</span><span class="i">-&gt;_GetAtomPathCycleClosingAtomIndex</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="sc">;</span>
 671 
 672   <span class="k">if</span> <span class="s">(</span><span class="i">$CycleClosingPathAtomIndex</span> == <span class="n">0</span><span class="s">)</span> <span class="s">{</span>
 673     <span class="i">$This</span><span class="i">-&gt;_GenerateUniqueAtomPathStringForPathCycle</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="sc">;</span>
 674   <span class="s">}</span>
 675   <span class="k">else</span> <span class="s">{</span>
 676     <span class="i">$This</span><span class="i">-&gt;_GenerateUniqueAtomPathStringForPathContainingCycle</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="cm">,</span> <span class="i">$CycleClosingPathAtomIndex</span><span class="s">)</span><span class="sc">;</span>
 677   <span class="s">}</span>
 678   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 679 <span class="s">}</span>
 680 
 681 <span class="c"># Generate a unique atom path string for a cyclic path by generating atom path</span>
 682 <span class="c"># strings for all possible paths in the cycle and keeping the lexicographically smallest</span>
 683 <span class="c"># one.</span>
 684 <span class="c">#</span>
 685 <span class="c"># Although all the paths enumerated during atom path string generation are also</span>
 686 <span class="c"># present in the intial paths list, but structural uniqueness check would detect</span>
 687 <span class="c"># &#39;em earlier and this method ends being invoked only once for the first cyclic path.</span>
 688 <span class="c">#</span>
 689 <span class="c"># For atom paths containg same atom types and bond symbols, atom path strings</span>
 690 <span class="c"># would be same for the paths.</span>
 691 <span class="c">#</span>
<a name="_GenerateUniqueAtomPathStringForPathCycle-"></a> 692 <span class="k">sub </span><span class="m">_GenerateUniqueAtomPathStringForPathCycle</span> <span class="s">{</span>
 693   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 694 
 695   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span><span class="i">-&gt;_AreAllPathAtomsSymbolsSame</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span> &amp;&amp; <span class="i">$This</span><span class="i">-&gt;_AreAllPathBondSymbolsSame</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 696     <span class="k">return</span> <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathString</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="sc">;</span>
 697   <span class="s">}</span>
 698 
 699   <span class="c"># Generate all possible atom path strings and select the lexicographically smallest one...</span>
 700   <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$FinalAtomPathString</span><span class="cm">,</span> <span class="i">$FirstAtomPathString</span><span class="cm">,</span> <span class="i">$LastIndex</span><span class="cm">,</span> <span class="i">$FirstPartIndex</span><span class="cm">,</span> <span class="i">$FirstPartStartIndex</span><span class="cm">,</span> <span class="i">$FirstPartEndIndex</span><span class="cm">,</span> <span class="i">$SecondPartIndex</span><span class="cm">,</span> <span class="i">$SecondPartStartIndex</span><span class="cm">,</span> <span class="i">$SecondPartEndIndex</span><span class="cm">,</span> <span class="i">$AtomPathSymbolsRef</span><span class="cm">,</span> <span class="i">$AtomPathString</span><span class="cm">,</span> <span class="i">$ReverseAtomPathString</span><span class="cm">,</span> <span class="i">@FirstPartPathAtoms</span><span class="cm">,</span> <span class="i">@SecondPartPathAtoms</span><span class="cm">,</span> <span class="i">@PathAtoms</span><span class="s">)</span><span class="sc">;</span>
 701 
 702   <span class="i">$PathLength</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="sc">;</span>
 703   <span class="i">$LastIndex</span> = <span class="i">$PathLength</span> - <span class="n">1</span><span class="sc">;</span>
 704 
 705   <span class="i">$FinalAtomPathString</span> = <span class="q">&#39;&#39;</span><span class="sc">;</span>
 706   <span class="i">$FirstAtomPathString</span> = <span class="n">1</span><span class="sc">;</span>
 707 
 708   <span class="i">@FirstPartPathAtoms</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">@SecondPartPathAtoms</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">@PathAtoms</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 709 
 710   <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$LastIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 711     <span class="i">@FirstPartPathAtoms</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">@SecondPartPathAtoms</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">@PathAtoms</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 712 
 713     <span class="i">$FirstPartStartIndex</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$FirstPartEndIndex</span> = <span class="i">$Index</span> - <span class="n">1</span><span class="sc">;</span>
 714     <span class="i">$SecondPartStartIndex</span> = <span class="i">$Index</span><span class="sc">;</span> <span class="i">$SecondPartEndIndex</span> = <span class="i">$LastIndex</span> - <span class="n">1</span><span class="sc">;</span>
 715 
 716     <span class="c"># Get first part atoms...</span>
 717     <span class="k">for</span> <span class="i">$FirstPartIndex</span> <span class="s">(</span><span class="i">$FirstPartStartIndex</span> .. <span class="i">$FirstPartEndIndex</span><span class="s">)</span> <span class="s">{</span>
 718       <span class="k">push</span> <span class="i">@FirstPartPathAtoms</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$FirstPartIndex</span>]<span class="sc">;</span>
 719     <span class="s">}</span>
 720 
 721     <span class="c"># Get second part atoms...</span>
 722     <span class="k">for</span> <span class="i">$SecondPartIndex</span> <span class="s">(</span><span class="i">$SecondPartStartIndex</span> .. <span class="i">$SecondPartEndIndex</span><span class="s">)</span> <span class="s">{</span>
 723       <span class="k">push</span> <span class="i">@SecondPartPathAtoms</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$SecondPartIndex</span>]<span class="sc">;</span>
 724     <span class="s">}</span>
 725 
 726     <span class="c"># Get final list of path atoms...</span>
 727     <span class="k">if</span> <span class="s">(</span><span class="i">@SecondPartPathAtoms</span><span class="s">)</span> <span class="s">{</span>
 728       <span class="k">push</span> <span class="i">@PathAtoms</span><span class="cm">,</span> <span class="i">@SecondPartPathAtoms</span><span class="sc">;</span>
 729     <span class="s">}</span>
 730     <span class="k">if</span> <span class="s">(</span><span class="i">@FirstPartPathAtoms</span><span class="s">)</span> <span class="s">{</span>
 731       <span class="k">push</span> <span class="i">@PathAtoms</span><span class="cm">,</span> <span class="i">@FirstPartPathAtoms</span><span class="sc">;</span>
 732     <span class="s">}</span>
 733 
 734     <span class="c"># Complete the cycle by adding first atom as the last atom...</span>
 735     <span class="k">push</span> <span class="i">@PathAtoms</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$SecondPartStartIndex</span>]<span class="sc">;</span>
 736 
 737     <span class="c"># Generate atom path string...</span>
 738     <span class="i">$AtomPathSymbolsRef</span> = <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathSymbols</span><span class="s">(</span>\<span class="i">@PathAtoms</span><span class="s">)</span><span class="sc">;</span>
 739 
 740     <span class="i">$AtomPathString</span> = <span class="k">join</span> <span class="q">&#39;&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$AtomPathSymbolsRef</span>}<span class="sc">;</span>
 741     <span class="i">$ReverseAtomPathString</span> = <span class="k">join</span> <span class="q">&#39;&#39;</span><span class="cm">,</span> <span class="k">reverse</span> <span class="i">@</span>{<span class="i">$AtomPathSymbolsRef</span>}<span class="sc">;</span>
 742 
 743     <span class="k">if</span> <span class="s">(</span><span class="i">$ReverseAtomPathString</span> <span class="k">le</span> <span class="i">$AtomPathString</span><span class="s">)</span> <span class="s">{</span>
 744       <span class="i">$AtomPathString</span> = <span class="i">$ReverseAtomPathString</span><span class="sc">;</span>
 745     <span class="s">}</span>
 746 
 747     <span class="c"># Update final atom path string...</span>
 748 
 749     <span class="k">if</span> <span class="s">(</span><span class="i">$FirstAtomPathString</span><span class="s">)</span> <span class="s">{</span>
 750       <span class="i">$FirstAtomPathString</span> = <span class="n">0</span><span class="sc">;</span>
 751       <span class="i">$FinalAtomPathString</span> = <span class="i">$AtomPathString</span><span class="sc">;</span>
 752     <span class="s">}</span>
 753     <span class="k">else</span> <span class="s">{</span>
 754       <span class="k">if</span> <span class="s">(</span><span class="i">$AtomPathString</span> <span class="k">le</span> <span class="i">$FinalAtomPathString</span><span class="s">)</span> <span class="s">{</span>
 755         <span class="i">$FinalAtomPathString</span> = <span class="i">$AtomPathString</span><span class="sc">;</span>
 756       <span class="s">}</span>
 757     <span class="s">}</span>
 758   <span class="s">}</span>
 759 
 760   <span class="c"># Set final atom path string...</span>
 761   <span class="c">#</span>
 762   <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$FinalAtomPathString</span>}<span class="s">)</span> <span class="s">{</span>
 763     <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$FinalAtomPathString</span>} += <span class="n">1</span><span class="sc">;</span>
 764   <span class="s">}</span>
 765   <span class="k">else</span> <span class="s">{</span>
 766     <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$FinalAtomPathString</span>} = <span class="n">1</span><span class="sc">;</span>
 767   <span class="s">}</span>
 768 
 769   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 770 <span class="s">}</span>
 771 
 772 <span class="c">#</span>
 773 <span class="c"># Generate a unique atom path string for paths containing a cycle closed by</span>
 774 <span class="c"># the specified atom index and the last atom index.</span>
 775 <span class="c">#</span>
 776 <span class="c"># The following methodology is used to generate atom path string which is</span>
 777 <span class="c"># independemt of initial atom ordering:</span>
 778 <span class="c">#   . Generate atom paths string from first atom to the atom before the first cycle</span>
 779 <span class="c">#     closing atom.</span>
 780 <span class="c">#   . Generate atom path string from atoms from first cycle closing atom index to</span>
 781 <span class="c">#     the last path atom in both forward and reverse order. And select the lexicographically</span>
 782 <span class="c">#     smallest atom path string.</span>
 783 <span class="c">#   . Combine atom path string generated in first step with second step to generate</span>
 784 <span class="c">#     final atom path string.</span>
 785 <span class="c">#</span>
<a name="_GenerateUniqueAtomPathStringForPathContainingCycle-"></a> 786 <span class="k">sub </span><span class="m">_GenerateUniqueAtomPathStringForPathContainingCycle</span> <span class="s">{</span>
 787   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="cm">,</span> <span class="i">$CycleClosingAtomIndex</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 788   <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$LastIndex</span><span class="cm">,</span> <span class="i">$LinearPartStartIndex</span><span class="cm">,</span> <span class="i">$LinearPartEndIndex</span><span class="cm">,</span> <span class="i">$CyclicPartStartIndex</span><span class="cm">,</span> <span class="i">$CyclicPartEndIndex</span><span class="cm">,</span> <span class="i">$CyclicPartAtomPathSymbolsRef</span><span class="cm">,</span> <span class="i">$CyclicPartAtomPathString</span><span class="cm">,</span> <span class="i">$ReverseCyclicPartAtomPathString</span><span class="cm">,</span> <span class="i">$AtomPathString</span><span class="cm">,</span> <span class="i">$AtomPathSymbolsRef</span><span class="cm">,</span> <span class="i">@CyclicPartPathAtoms</span><span class="cm">,</span> <span class="i">@PathAtoms</span><span class="s">)</span><span class="sc">;</span>
 789 
 790   <span class="i">$PathLength</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="sc">;</span>
 791   <span class="i">$LastIndex</span> = <span class="i">$PathLength</span> - <span class="n">1</span><span class="sc">;</span>
 792 
 793   <span class="i">@PathAtoms</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 794 
 795   <span class="c"># Get path atoms corresponding to linear  part of the path...</span>
 796   <span class="i">$LinearPartStartIndex</span> = <span class="n">0</span><span class="sc">;</span> <span class="i">$LinearPartEndIndex</span> = <span class="i">$CycleClosingAtomIndex</span> - <span class="n">1</span><span class="sc">;</span>
 797 
 798   <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="i">$LinearPartStartIndex</span> .. <span class="i">$LinearPartEndIndex</span><span class="s">)</span> <span class="s">{</span>
 799     <span class="k">push</span> <span class="i">@PathAtoms</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$Index</span>]<span class="sc">;</span>
 800   <span class="s">}</span>
 801 
 802   <span class="c"># Get atoms correcponding to cyclic part of the path...</span>
 803   <span class="i">@CyclicPartPathAtoms</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 804   <span class="i">$CyclicPartStartIndex</span> = <span class="i">$CycleClosingAtomIndex</span><span class="sc">;</span> <span class="i">$CyclicPartEndIndex</span> = <span class="i">$LastIndex</span><span class="sc">;</span>
 805 
 806   <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="i">$CyclicPartStartIndex</span> .. <span class="i">$CyclicPartEndIndex</span><span class="s">)</span> <span class="s">{</span>
 807     <span class="k">push</span> <span class="i">@CyclicPartPathAtoms</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$Index</span>]<span class="sc">;</span>
 808   <span class="s">}</span>
 809 
 810   <span class="c"># Setup a lexicographically smaller atom path string for cyclic part...</span>
 811 
 812   <span class="i">$CyclicPartAtomPathSymbolsRef</span> = <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathSymbols</span><span class="s">(</span>\<span class="i">@CyclicPartPathAtoms</span><span class="s">)</span><span class="sc">;</span>
 813   <span class="i">$CyclicPartAtomPathString</span> = <span class="k">join</span> <span class="q">&#39;&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$CyclicPartAtomPathSymbolsRef</span>}<span class="sc">;</span>
 814   <span class="i">$ReverseCyclicPartAtomPathString</span> = <span class="k">join</span> <span class="q">&#39;&#39;</span><span class="cm">,</span> <span class="k">reverse</span> <span class="i">@</span>{<span class="i">$CyclicPartAtomPathSymbolsRef</span>}<span class="sc">;</span>
 815 
 816   <span class="c"># Setup atom path corresponding to linear part and lexigraphicall smaller cyclic part...</span>
 817 
 818   <span class="k">if</span> <span class="s">(</span><span class="i">$ReverseCyclicPartAtomPathString</span> <span class="k">le</span> <span class="i">$CyclicPartAtomPathString</span><span class="s">)</span> <span class="s">{</span>
 819     <span class="k">push</span> <span class="i">@PathAtoms</span><span class="cm">,</span> <span class="k">reverse</span> <span class="i">@CyclicPartPathAtoms</span><span class="sc">;</span>
 820   <span class="s">}</span>
 821   <span class="k">else</span> <span class="s">{</span>
 822     <span class="k">push</span> <span class="i">@PathAtoms</span><span class="cm">,</span> <span class="i">@CyclicPartPathAtoms</span><span class="sc">;</span>
 823   <span class="s">}</span>
 824 
 825   <span class="c"># Setup final atom path string...</span>
 826 
 827   <span class="i">$AtomPathSymbolsRef</span> = <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathSymbols</span><span class="s">(</span>\<span class="i">@PathAtoms</span><span class="s">)</span><span class="sc">;</span>
 828   <span class="i">$AtomPathString</span> = <span class="k">join</span> <span class="q">&#39;&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$AtomPathSymbolsRef</span>}<span class="sc">;</span>
 829 
 830   <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$AtomPathString</span>}<span class="s">)</span> <span class="s">{</span>
 831     <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$AtomPathString</span>} += <span class="n">1</span><span class="sc">;</span>
 832   <span class="s">}</span>
 833   <span class="k">else</span> <span class="s">{</span>
 834     <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$AtomPathString</span>} = <span class="n">1</span><span class="sc">;</span>
 835   <span class="s">}</span>
 836 
 837   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 838 <span class="s">}</span>
 839 
 840 <span class="c"># Does atom path contain a cycle?</span>
 841 <span class="c">#</span>
 842 <span class="c"># For an atom path to contain cycle, it must satisfy the following conditions:</span>
 843 <span class="c">#   . Pathlength &gt;= 3</span>
 844 <span class="c">#   . Last atom ID is equal to first atom ID or some other atom ID besides itself</span>
 845 <span class="c">#</span>
<a name="_DoesAtomPathContainsCycle-"></a> 846 <span class="k">sub </span><span class="m">_DoesAtomPathContainsCycle</span> <span class="s">{</span>
 847   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 848   <span class="k">my</span><span class="s">(</span><span class="i">$PathLength</span><span class="s">)</span><span class="sc">;</span>
 849 
 850   <span class="i">$PathLength</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="sc">;</span>
 851   <span class="k">if</span> <span class="s">(</span><span class="i">$PathLength</span> &lt;= <span class="n">2</span><span class="s">)</span> <span class="s">{</span>
 852     <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
 853   <span class="s">}</span>
 854 
 855   <span class="k">my</span><span class="s">(</span><span class="i">$AtomIndex</span><span class="cm">,</span> <span class="i">$LastAtomIndex</span><span class="cm">,</span> <span class="i">$Atom</span><span class="cm">,</span> <span class="i">$AtomID</span><span class="cm">,</span> <span class="i">$LastAtom</span><span class="cm">,</span> <span class="i">$LastAtomID</span><span class="s">)</span><span class="sc">;</span>
 856 
 857   <span class="i">$LastAtomIndex</span> = <span class="i">$PathLength</span> - <span class="n">1</span><span class="sc">;</span>
 858   <span class="i">$LastAtom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$LastAtomIndex</span>]<span class="sc">;</span>
 859   <span class="i">$LastAtomID</span> = <span class="i">$LastAtom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 860 
 861   <span class="c"># Look for atomID similar to last atom ID...</span>
 862   <span class="k">for</span> <span class="i">$AtomIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$LastAtomIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 863     <span class="i">$Atom</span> =  <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$AtomIndex</span>]<span class="sc">;</span>
 864     <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 865 
 866     <span class="k">if</span> <span class="s">(</span><span class="i">$AtomID</span> == <span class="i">$LastAtomID</span><span class="s">)</span> <span class="s">{</span>
 867       <span class="c"># It&#39;s a cycle...</span>
 868       <span class="k">return</span> <span class="n">1</span><span class="sc">;</span>
 869     <span class="s">}</span>
 870   <span class="s">}</span>
 871   <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
 872 <span class="s">}</span>
 873 
 874 <span class="c"># Get atom path cycle closing atom index...</span>
 875 <span class="c">#</span>
<a name="_GetAtomPathCycleClosingAtomIndex-"></a> 876 <span class="k">sub </span><span class="m">_GetAtomPathCycleClosingAtomIndex</span> <span class="s">{</span>
 877   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 878   <span class="k">my</span><span class="s">(</span><span class="i">$AtomIndex</span><span class="cm">,</span> <span class="i">$LastAtomIndex</span><span class="cm">,</span> <span class="i">$Atom</span><span class="cm">,</span> <span class="i">$AtomID</span><span class="cm">,</span> <span class="i">$LastAtom</span><span class="cm">,</span> <span class="i">$LastAtomID</span><span class="cm">,</span> <span class="i">$PathLength</span><span class="s">)</span><span class="sc">;</span>
 879 
 880   <span class="i">$PathLength</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="sc">;</span>
 881 
 882   <span class="i">$LastAtomIndex</span> = <span class="i">$PathLength</span> - <span class="n">1</span><span class="sc">;</span>
 883   <span class="i">$LastAtom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$LastAtomIndex</span>]<span class="sc">;</span> <span class="i">$LastAtomID</span> = <span class="i">$LastAtom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 884 
 885   <span class="c"># Look for atomID similar to last atom ID...</span>
 886   <span class="k">for</span> <span class="i">$AtomIndex</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$LastAtomIndex</span> - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
 887     <span class="i">$Atom</span> =  <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$AtomIndex</span>]<span class="sc">;</span> <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 888 
 889     <span class="k">if</span> <span class="s">(</span><span class="i">$AtomID</span> == <span class="i">$LastAtomID</span><span class="s">)</span> <span class="s">{</span>
 890       <span class="c"># It&#39;s a cycle closing atom...</span>
 891       <span class="k">return</span> <span class="i">$AtomIndex</span><span class="sc">;</span>
 892     <span class="s">}</span>
 893   <span class="s">}</span>
 894   <span class="k">return</span> <span class="k">undef</span><span class="sc">;</span>
 895 <span class="s">}</span>
 896 
 897 <span class="c"># Is it a structurally unique path containing a cycle?</span>
 898 <span class="c">#</span>
 899 <span class="c"># For atom paths containing cycles, last atom ID is either equal to first atom ID or</span>
 900 <span class="c"># some other atom ID besides itself.</span>
 901 <span class="c">#</span>
 902 <span class="c"># In order to determine its structurally unqiue independent of initial atom ordering,</span>
 903 <span class="c"># the following methodolgy is used:</span>
 904 <span class="c">#</span>
 905 <span class="c">#   . For paths with same first and atom IDs:</span>
 906 <span class="c">#      . Remove the last atom ID from atom path</span>
 907 <span class="c">#      . Sort atom IDs in the path</span>
 908 <span class="c">#      . Add first atom ID from the sorted list to the end of list to complete the cycle</span>
 909 <span class="c">#      . Generate a atom path ID</span>
 910 <span class="c">#      . Use final path ID to track uniqueness of path containing cycle.</span>
 911 <span class="c">#</span>
 912 <span class="c">#   . For paths with last atom ID equal to some other atom ID besidies itself:</span>
 913 <span class="c">#      . Sort atom IDs in atom path</span>
 914 <span class="c">#      . Generate atom path ID and use it to track unqiueness of atom paths.</span>
 915 <span class="c">#</span>
<a name="_IsUniqueAtomPathContainingCycle-"></a> 916 <span class="k">sub </span><span class="m">_IsUniqueAtomPathContainingCycle</span> <span class="s">{</span>
 917   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 918   <span class="k">my</span><span class="s">(</span><span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$AtomPathID</span><span class="cm">,</span> <span class="i">$FirstAtom</span><span class="cm">,</span> <span class="i">$LastAtom</span><span class="cm">,</span> <span class="i">$FirstAtomID</span><span class="cm">,</span> <span class="i">$LastAtomID</span><span class="cm">,</span> <span class="i">@PathAtomIDs</span><span class="cm">,</span> <span class="i">@SortedPathAtomIDs</span><span class="s">)</span><span class="sc">;</span>
 919 
 920   <span class="i">@PathAtomIDs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 921   <span class="i">@PathAtomIDs</span> = <span class="k">map</span> <span class="s">{</span> <span class="i">$_</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="s">}</span> <span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="sc">;</span>
 922 
 923   <span class="i">$PathLength</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="sc">;</span>
 924 
 925   <span class="i">$FirstAtom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="n">0</span>]<span class="sc">;</span> <span class="i">$FirstAtomID</span> = <span class="i">$FirstAtom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 926   <span class="i">$LastAtom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$PathLength</span> - <span class="n">1</span>]<span class="sc">;</span> <span class="i">$LastAtomID</span> = <span class="i">$LastAtom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 927 
 928   <span class="k">if</span> <span class="s">(</span><span class="i">$FirstAtomID</span> == <span class="i">$LastAtomID</span><span class="s">)</span> <span class="s">{</span>
 929     <span class="k">pop</span> <span class="i">@PathAtomIDs</span><span class="sc">;</span>
 930 
 931     <span class="i">@SortedPathAtomIDs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 932     <span class="i">@SortedPathAtomIDs</span> = <span class="k">sort</span> <span class="s">{</span> <span class="i">$a</span> &lt;=&gt; <span class="i">$b</span> <span class="s">}</span> <span class="i">@PathAtomIDs</span><span class="sc">;</span>
 933 
 934     <span class="k">push</span> <span class="i">@SortedPathAtomIDs</span><span class="cm">,</span> <span class="i">$SortedPathAtomIDs</span>[<span class="n">0</span>]<span class="sc">;</span>
 935 
 936     <span class="i">$AtomPathID</span> = <span class="k">join</span> <span class="q">&#39;-&#39;</span><span class="cm">,</span> <span class="i">@SortedPathAtomIDs</span><span class="sc">;</span>
 937   <span class="s">}</span>
 938   <span class="k">else</span> <span class="s">{</span>
 939     <span class="i">$AtomPathID</span> = <span class="k">join</span> <span class="q">&#39;-&#39;</span><span class="cm">,</span> <span class="k">sort</span> <span class="s">{</span> <span class="i">$a</span> &lt;=&gt; <span class="i">$b</span> <span class="s">}</span> <span class="i">@PathAtomIDs</span><span class="sc">;</span>
 940   <span class="s">}</span>
 941 
 942   <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">UniqueCyclicAtomPathsIDs</span>}{<span class="i">$AtomPathID</span>}<span class="s">)</span> <span class="s">{</span>
 943     <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
 944   <span class="s">}</span>
 945 
 946   <span class="c"># It&#39;s a unique atom path containing a cycle...</span>
 947   <span class="i">$This</span>-&gt;{<span class="w">UniqueCyclicAtomPathsIDs</span>}{<span class="i">$AtomPathID</span>} = <span class="n">1</span><span class="sc">;</span>
 948 
 949   <span class="k">return</span> <span class="n">1</span><span class="sc">;</span>
 950 <span class="s">}</span>
 951 
 952 <span class="c"># Generate atom path string for specified atom path...</span>
 953 <span class="c">#</span>
<a name="_GenerateAtomPathString-"></a> 954 <span class="k">sub </span><span class="m">_GenerateAtomPathString</span> <span class="s">{</span>
 955   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 956   <span class="k">my</span><span class="s">(</span><span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$AtomPathString</span><span class="cm">,</span> <span class="i">$ReverseAtomPathString</span><span class="cm">,</span> <span class="i">$AtomPathSymbolsRef</span><span class="s">)</span><span class="sc">;</span>
 957 
 958   <span class="i">$PathLength</span> = <span class="k">scalar</span> <span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="sc">;</span>
 959 
 960   <span class="c"># Generate path atom and bond symbols...</span>
 961   <span class="c">#</span>
 962   <span class="i">$AtomPathSymbolsRef</span> = <span class="i">$This</span><span class="i">-&gt;_GenerateAtomPathSymbols</span><span class="s">(</span><span class="i">$PathAtomsRef</span><span class="s">)</span><span class="sc">;</span>
 963 
 964   <span class="c"># Check presence of path using path ID created by atom path symbols...</span>
 965   <span class="i">$AtomPathString</span> = <span class="k">join</span> <span class="q">&#39;&#39;</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$AtomPathSymbolsRef</span>}<span class="sc">;</span>
 966   <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$AtomPathString</span>}<span class="s">)</span> <span class="s">{</span>
 967     <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$AtomPathString</span>} += <span class="n">1</span><span class="sc">;</span>
 968     <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 969   <span class="s">}</span>
 970 
 971   <span class="c"># Check presence of reverse path using path ID created by atom path symbols...</span>
 972   <span class="c">#</span>
 973   <span class="i">$ReverseAtomPathString</span> = <span class="k">join</span> <span class="q">&#39;&#39;</span><span class="cm">,</span> <span class="k">reverse</span> <span class="i">@</span>{<span class="i">$AtomPathSymbolsRef</span>}<span class="sc">;</span>
 974   <span class="k">if</span> <span class="s">(</span><span class="k">exists</span> <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$ReverseAtomPathString</span>}<span class="s">)</span> <span class="s">{</span>
 975     <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$ReverseAtomPathString</span>} += <span class="n">1</span><span class="sc">;</span>
 976     <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 977   <span class="s">}</span>
 978 
 979   <span class="c"># Use lexicographically smaller atom path string as PathID...</span>
 980   <span class="c">#</span>
 981   <span class="k">if</span> <span class="s">(</span><span class="i">$AtomPathString</span> <span class="k">le</span> <span class="i">$ReverseAtomPathString</span><span class="s">)</span> <span class="s">{</span>
 982     <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$AtomPathString</span>} = <span class="n">1</span><span class="sc">;</span>
 983   <span class="s">}</span>
 984   <span class="k">else</span> <span class="s">{</span>
 985     <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$ReverseAtomPathString</span>} = <span class="n">1</span><span class="sc">;</span>
 986   <span class="s">}</span>
 987   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
 988 <span class="s">}</span>
 989 
 990 <span class="c">#  Are atom types for all path atoms same?</span>
 991 <span class="c">#</span>
<a name="_AreAllPathAtomsSymbolsSame-"></a> 992 <span class="k">sub </span><span class="m">_AreAllPathAtomsSymbolsSame</span> <span class="s">{</span>
 993   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
 994   <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$Atom</span><span class="cm">,</span> <span class="i">$AtomID</span><span class="cm">,</span> <span class="i">$AtomType</span><span class="cm">,</span> <span class="i">$FirstAtomType</span><span class="s">)</span><span class="sc">;</span>
 995 
 996   <span class="i">$Atom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="n">0</span>]<span class="sc">;</span> <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
 997   <span class="i">$FirstAtomType</span> = <span class="i">$This</span>-&gt;{<span class="w">AssignedAtomTypes</span>}{<span class="i">$AtomID</span>}<span class="sc">;</span>
 998 
 999   <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">1</span> .. <span class="i">$#</span>{<span class="i">$PathAtomsRef</span>}<span class="s">)</span> <span class="s">{</span>
1000     <span class="i">$Atom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$Index</span>]<span class="sc">;</span> <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1001     <span class="i">$AtomType</span> = <span class="i">$This</span>-&gt;{<span class="w">AssignedAtomTypes</span>}{<span class="i">$AtomID</span>}<span class="sc">;</span>
1002 
1003     <span class="k">if</span> <span class="s">(</span><span class="i">$AtomType</span> <span class="k">ne</span> <span class="i">$FirstAtomType</span><span class="s">)</span> <span class="s">{</span>
1004       <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
1005     <span class="s">}</span>
1006   <span class="s">}</span>
1007   <span class="k">return</span> <span class="n">1</span><span class="sc">;</span>
1008 <span class="s">}</span>
1009 
1010 <span class="c">#  Are bond symbols for all path bonds same?</span>
1011 <span class="c">#</span>
<a name="_AreAllPathBondSymbolsSame-"></a>1012 <span class="k">sub </span><span class="m">_AreAllPathBondSymbolsSame</span> <span class="s">{</span>
1013   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1014   <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$Atom</span><span class="cm">,</span> <span class="i">$BondedAtom</span><span class="cm">,</span> <span class="i">$AtomID</span><span class="cm">,</span> <span class="i">$BondedAtomID</span><span class="cm">,</span> <span class="i">$BondAtomID1</span><span class="cm">,</span> <span class="i">$BondAtomID2</span><span class="cm">,</span> <span class="i">$FirstBondSymbol</span><span class="cm">,</span> <span class="i">$BondSymbol</span><span class="s">)</span><span class="sc">;</span>
1015 
1016   <span class="c"># During no usage of bond symbols, just ignore them and assume they are same...</span>
1017   <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">UseBondSymbols</span>}<span class="s">)</span> <span class="s">{</span>
1018     <span class="k">return</span> <span class="n">1</span><span class="sc">;</span>
1019   <span class="s">}</span>
1020 
1021   <span class="i">$Atom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="n">0</span>]<span class="sc">;</span> <span class="i">$BondedAtom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="n">1</span>]<span class="sc">;</span>
1022   <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">$BondedAtomID</span> = <span class="i">$BondedAtom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1023 
1024   <span class="s">(</span><span class="i">$BondAtomID1</span><span class="cm">,</span> <span class="i">$BondAtomID2</span><span class="s">)</span> = <span class="s">(</span><span class="i">$AtomID</span> &lt; <span class="i">$BondedAtomID</span><span class="s">)</span> ? <span class="s">(</span><span class="i">$AtomID</span><span class="cm">,</span> <span class="i">$BondedAtomID</span><span class="s">)</span> <span class="co">:</span> <span class="s">(</span><span class="i">$BondedAtomID</span><span class="cm">,</span> <span class="i">$AtomID</span><span class="s">)</span><span class="sc">;</span>
1025   <span class="i">$FirstBondSymbol</span> = <span class="i">$This</span>-&gt;{<span class="w">BondSymbols</span>}{<span class="i">$BondAtomID1</span>}{<span class="i">$BondAtomID2</span>}<span class="sc">;</span>
1026 
1027   <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">1</span> .. <span class="s">(</span><span class="i">$#</span>{<span class="i">$PathAtomsRef</span>} - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1028     <span class="i">$Atom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$Index</span>]<span class="sc">;</span> <span class="i">$BondedAtom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$Index</span> + <span class="n">1</span>]<span class="sc">;</span>
1029     <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">$BondedAtomID</span> = <span class="i">$BondedAtom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1030 
1031     <span class="s">(</span><span class="i">$BondAtomID1</span><span class="cm">,</span> <span class="i">$BondAtomID2</span><span class="s">)</span> = <span class="s">(</span><span class="i">$AtomID</span> &lt; <span class="i">$BondedAtomID</span><span class="s">)</span> ? <span class="s">(</span><span class="i">$AtomID</span><span class="cm">,</span> <span class="i">$BondedAtomID</span><span class="s">)</span> <span class="co">:</span> <span class="s">(</span><span class="i">$BondedAtomID</span><span class="cm">,</span> <span class="i">$AtomID</span><span class="s">)</span><span class="sc">;</span>
1032     <span class="i">$BondSymbol</span> = <span class="i">$This</span>-&gt;{<span class="w">BondSymbols</span>}{<span class="i">$BondAtomID1</span>}{<span class="i">$BondAtomID2</span>}<span class="sc">;</span>
1033 
1034     <span class="k">if</span> <span class="s">(</span><span class="i">$BondSymbol</span> <span class="k">ne</span> <span class="i">$FirstBondSymbol</span><span class="s">)</span> <span class="s">{</span>
1035       <span class="k">return</span> <span class="n">0</span><span class="sc">;</span>
1036     <span class="s">}</span>
1037   <span class="s">}</span>
1038   <span class="k">return</span> <span class="n">1</span><span class="sc">;</span>
1039 <span class="s">}</span>
1040 
1041 <span class="c"># Generate atom path symbols...</span>
1042 <span class="c">#</span>
<a name="_GenerateAtomPathSymbols-"></a>1043 <span class="k">sub </span><span class="m">_GenerateAtomPathSymbols</span> <span class="s">{</span>
1044   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">$PathAtomsRef</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1045   <span class="k">my</span><span class="s">(</span><span class="i">$Atom</span><span class="cm">,</span> <span class="i">$AtomID</span><span class="cm">,</span> <span class="i">@AtomPathSymbols</span><span class="s">)</span><span class="sc">;</span>
1046 
1047   <span class="i">@AtomPathSymbols</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1048 
1049   <span class="k">if</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$PathAtomsRef</span>} == <span class="n">1</span><span class="s">)</span> <span class="s">{</span>
1050     <span class="i">$Atom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="n">0</span>]<span class="sc">;</span> <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1051     <span class="k">push</span> <span class="i">@AtomPathSymbols</span><span class="cm">,</span> <span class="i">$This</span>-&gt;{<span class="w">AssignedAtomTypes</span>}{<span class="i">$AtomID</span>}<span class="sc">;</span>
1052     <span class="k">return</span> \<span class="i">@AtomPathSymbols</span><span class="sc">;</span>
1053   <span class="s">}</span>
1054 
1055   <span class="c"># Ignore bond information...</span>
1056   <span class="k">if</span> <span class="s">(</span>!<span class="i">$This</span>-&gt;{<span class="w">UseBondSymbols</span>}<span class="s">)</span> <span class="s">{</span>
1057     <span class="k">for</span> <span class="i">$Atom</span> <span class="s">(</span><span class="i">@</span>{<span class="i">$PathAtomsRef</span>}<span class="s">)</span> <span class="s">{</span>
1058       <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1059       <span class="k">push</span> <span class="i">@AtomPathSymbols</span><span class="cm">,</span> <span class="i">$This</span>-&gt;{<span class="w">AssignedAtomTypes</span>}{<span class="i">$AtomID</span>}<span class="sc">;</span>
1060     <span class="s">}</span>
1061     <span class="k">return</span> \<span class="i">@AtomPathSymbols</span><span class="sc">;</span>
1062   <span class="s">}</span>
1063 
1064   <span class="c"># Use atoms and bonds to generate atom path string...</span>
1065   <span class="k">my</span><span class="s">(</span><span class="i">$Index</span><span class="cm">,</span> <span class="i">$BondedAtom</span><span class="cm">,</span> <span class="i">$BondedAtomID</span><span class="cm">,</span> <span class="i">$BondAtomID1</span><span class="cm">,</span> <span class="i">$BondAtomID2</span><span class="s">)</span><span class="sc">;</span>
1066 
1067   <span class="c"># Process atom type of first atom in path...</span>
1068   <span class="i">$Atom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="n">0</span>]<span class="sc">;</span> <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1069   <span class="k">push</span> <span class="i">@AtomPathSymbols</span><span class="cm">,</span> <span class="i">$This</span>-&gt;{<span class="w">AssignedAtomTypes</span>}{<span class="i">$AtomID</span>}<span class="sc">;</span>
1070 
1071   <span class="k">for</span> <span class="i">$Index</span> <span class="s">(</span><span class="n">0</span> .. <span class="s">(</span><span class="i">$#</span>{<span class="i">$PathAtomsRef</span>} - <span class="n">1</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1072     <span class="i">$Atom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$Index</span>]<span class="sc">;</span> <span class="i">$BondedAtom</span> = <span class="i">$PathAtomsRef</span>-&gt;[<span class="i">$Index</span> + <span class="n">1</span>]<span class="sc">;</span>
1073     <span class="i">$AtomID</span> = <span class="i">$Atom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span> <span class="i">$BondedAtomID</span> = <span class="i">$BondedAtom</span><span class="i">-&gt;GetID</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1074 
1075     <span class="s">(</span><span class="i">$BondAtomID1</span><span class="cm">,</span> <span class="i">$BondAtomID2</span><span class="s">)</span> = <span class="s">(</span><span class="i">$AtomID</span> &lt; <span class="i">$BondedAtomID</span><span class="s">)</span> ? <span class="s">(</span><span class="i">$AtomID</span><span class="cm">,</span> <span class="i">$BondedAtomID</span><span class="s">)</span> <span class="co">:</span> <span class="s">(</span><span class="i">$BondedAtomID</span><span class="cm">,</span> <span class="i">$AtomID</span><span class="s">)</span><span class="sc">;</span>
1076     <span class="k">push</span> <span class="i">@AtomPathSymbols</span><span class="cm">,</span> <span class="i">$This</span>-&gt;{<span class="w">BondSymbols</span>}{<span class="i">$BondAtomID1</span>}{<span class="i">$BondAtomID2</span>}<span class="sc">;</span>
1077 
1078     <span class="c"># Process atom type of next atom in path...</span>
1079     <span class="k">push</span> <span class="i">@AtomPathSymbols</span><span class="cm">,</span> <span class="i">$This</span>-&gt;{<span class="w">AssignedAtomTypes</span>}{<span class="i">$BondedAtomID</span>}<span class="sc">;</span>
1080   <span class="s">}</span>
1081   <span class="k">return</span> \<span class="i">@AtomPathSymbols</span><span class="sc">;</span>
1082 <span class="s">}</span>
1083 
1084 <span class="c"># Set final fingerprits...</span>
1085 <span class="c">#</span>
<a name="_SetFinalFingerprints-"></a>1086 <span class="k">sub </span><span class="m">_SetFinalFingerprints</span> <span class="s">{</span>
1087   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1088 
1089   <span class="c"># Mark successful generation of fingerprints...</span>
1090   <span class="i">$This</span>-&gt;{<span class="w">FingerprintsGenerated</span>} = <span class="n">1</span><span class="sc">;</span>
1091 
1092   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">Type</span>} =~ <span class="q">/^PathLengthBits$/i</span><span class="s">)</span> <span class="s">{</span>
1093     <span class="i">$This</span><span class="i">-&gt;_SetFinalFingerprintsBitVector</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1094   <span class="s">}</span>
1095   <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">Type</span>} =~ <span class="q">/^PathLengthCount$/i</span><span class="s">)</span> <span class="s">{</span>
1096     <span class="i">$This</span><span class="i">-&gt;_SetFinalFingerprintsVector</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1097   <span class="s">}</span>
1098 
1099   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1100 <span class="s">}</span>
1101 
1102 <span class="c"># Set final fingerprits bit vector...</span>
1103 <span class="c">#</span>
<a name="_SetFinalFingerprintsBitVector-"></a>1104 <span class="k">sub </span><span class="m">_SetFinalFingerprintsBitVector</span> <span class="s">{</span>
1105   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1106   <span class="k">my</span><span class="s">(</span><span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$Size</span><span class="cm">,</span> <span class="i">$AtomPathString</span><span class="cm">,</span> <span class="i">$AtomPathHashCode</span><span class="cm">,</span> <span class="i">$AtomPathBitPos</span><span class="cm">,</span> <span class="i">$FingerprintsBitVector</span><span class="cm">,</span> <span class="i">$SkipBitPosCheck</span><span class="cm">,</span> <span class="i">$NumOfBitsToSetPerPath</span><span class="cm">,</span> <span class="i">$SetBitNum</span><span class="s">)</span><span class="sc">;</span>
1107 
1108   <span class="i">$FingerprintsBitVector</span> = <span class="i">$This</span>-&gt;{<span class="w">FingerprintsBitVector</span>}<span class="sc">;</span>
1109 
1110   <span class="i">$Size</span> = <span class="i">$This</span>-&gt;{<span class="w">Size</span>}<span class="sc">;</span>
1111 
1112   <span class="i">$SkipBitPosCheck</span> = <span class="n">1</span><span class="sc">;</span>
1113   <span class="i">$NumOfBitsToSetPerPath</span> = <span class="i">$This</span>-&gt;{<span class="w">NumOfBitsToSetPerPath</span>}<span class="sc">;</span>
1114 
1115   <span class="k">for</span> <span class="i">$PathLength</span> <span class="s">(</span><span class="k">keys</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}}<span class="s">)</span> <span class="s">{</span>
1116     <span class="k">for</span> <span class="i">$AtomPathString</span> <span class="s">(</span><span class="k">keys</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}}<span class="s">)</span> <span class="s">{</span>
1117       <span class="i">$AtomPathHashCode</span> = <span class="i">TextUtil::HashCode</span><span class="s">(</span><span class="i">$AtomPathString</span><span class="s">)</span><span class="sc">;</span>
1118 
1119       <span class="c"># Set random number seed...</span>
1120       <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">UsePerlCoreRandom</span>}<span class="s">)</span> <span class="s">{</span>
1121         <span class="i">CORE::</span><span class="k">srand</span><span class="s">(</span><span class="i">$AtomPathHashCode</span><span class="s">)</span><span class="sc">;</span>
1122       <span class="s">}</span>
1123       <span class="k">else</span> <span class="s">{</span>
1124         <span class="i">MathUtil::srandom</span><span class="s">(</span><span class="i">$AtomPathHashCode</span><span class="s">)</span><span class="sc">;</span>
1125       <span class="s">}</span>
1126 
1127       <span class="k">for</span> <span class="i">$SetBitNum</span> <span class="s">(</span><span class="n">1</span> .. <span class="i">$NumOfBitsToSetPerPath</span><span class="s">)</span> <span class="s">{</span>
1128         <span class="i">$AtomPathBitPos</span> = <span class="i">$This</span>-&gt;{<span class="w">UsePerlCoreRandom</span>} ? <span class="k">int</span><span class="s">(</span><span class="i">CORE::</span><span class="k">rand</span><span class="s">(</span><span class="i">$Size</span><span class="s">)</span><span class="s">)</span> <span class="co">:</span> <span class="k">int</span><span class="s">(</span><span class="i">MathUtil::random</span><span class="s">(</span><span class="i">$Size</span><span class="s">)</span><span class="s">)</span><span class="sc">;</span>
1129         <span class="i">$FingerprintsBitVector</span><span class="i">-&gt;SetBit</span><span class="s">(</span><span class="i">$AtomPathBitPos</span><span class="cm">,</span> <span class="i">$SkipBitPosCheck</span><span class="s">)</span><span class="sc">;</span>
1130       <span class="s">}</span>
1131     <span class="s">}</span>
1132   <span class="s">}</span>
1133   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1134 <span class="s">}</span>
1135 
1136 <span class="c"># Set final fingerprits vector...</span>
1137 <span class="c">#</span>
<a name="_SetFinalFingerprintsVector-"></a>1138 <span class="k">sub </span><span class="m">_SetFinalFingerprintsVector</span> <span class="s">{</span>
1139   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1140   <span class="k">my</span><span class="s">(</span><span class="i">$PathLength</span><span class="cm">,</span> <span class="i">$AtomPathString</span><span class="cm">,</span> <span class="i">$FingerprintsVector</span><span class="cm">,</span> <span class="i">$AtomPathCount</span><span class="cm">,</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">@ValueIDs</span><span class="s">)</span><span class="sc">;</span>
1141 
1142   <span class="i">@Values</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1143   <span class="i">@ValueIDs</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1144 
1145   <span class="k">for</span> <span class="i">$PathLength</span> <span class="s">(</span><span class="k">sort</span> <span class="s">{</span> <span class="i">$a</span> &lt;=&gt; <span class="i">$b</span> <span class="s">}</span> <span class="k">keys</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}}<span class="s">)</span> <span class="s">{</span>
1146     <span class="k">for</span> <span class="i">$AtomPathString</span> <span class="s">(</span><span class="k">sort</span> <span class="k">keys</span> <span class="i">%</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}}<span class="s">)</span> <span class="s">{</span>
1147       <span class="i">$AtomPathCount</span> = <span class="i">$This</span>-&gt;{<span class="w">AtomPathsStrings</span>}{<span class="i">$PathLength</span>}{<span class="i">$AtomPathString</span>}<span class="sc">;</span>
1148 
1149       <span class="k">push</span> <span class="i">@Values</span><span class="cm">,</span> <span class="i">$AtomPathCount</span><span class="sc">;</span>
1150       <span class="k">push</span> <span class="i">@ValueIDs</span><span class="cm">,</span> <span class="i">$AtomPathString</span><span class="sc">;</span>
1151     <span class="s">}</span>
1152   <span class="s">}</span>
1153 
1154   <span class="c"># Add PathLengthIDs and values to fingerprint vector...</span>
1155   <span class="i">$This</span>-&gt;{<span class="w">FingerprintsVector</span>}<span class="i">-&gt;AddValueIDs</span><span class="s">(</span>\<span class="i">@ValueIDs</span><span class="s">)</span><span class="sc">;</span>
1156   <span class="i">$This</span>-&gt;{<span class="w">FingerprintsVector</span>}<span class="i">-&gt;AddValues</span><span class="s">(</span>\<span class="i">@Values</span><span class="s">)</span><span class="sc">;</span>
1157 
1158   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1159 <span class="s">}</span>
1160 
1161 <span class="c"># Cache  appropriate molecule data...</span>
1162 <span class="c">#</span>
<a name="_SetupMoleculeDataCache-"></a>1163 <span class="k">sub </span><span class="m">_SetupMoleculeDataCache</span> <span class="s">{</span>
1164   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1165 
1166   <span class="c"># Get all atoms...</span>
1167   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Atoms</span>}} = <span class="i">$This</span><span class="i">-&gt;GetMolecule</span><span class="s">(</span><span class="s">)</span><span class="i">-&gt;GetAtoms</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1168 
1169   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1170 <span class="s">}</span>
1171 
1172 <span class="c"># Clear cached molecule data...</span>
1173 <span class="c">#</span>
<a name="_ClearMoleculeDataCache-"></a>1174 <span class="k">sub </span><span class="m">_ClearMoleculeDataCache</span> <span class="s">{</span>
1175   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1176 
1177   <span class="c"># Clear atoms...</span>
1178   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">Atoms</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1179 
1180   <span class="c"># Clear path atoms..</span>
1181   <span class="i">$This</span>-&gt;{<span class="w">AtomPathsRef</span>} = <span class="q">&#39;&#39;</span><span class="sc">;</span>
1182 
1183   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1184 <span class="s">}</span>
1185 
1186 <span class="c"># Set atomic invariants to use atom identifiers...</span>
1187 <span class="c">#</span>
<a name="SetAtomicInvariantsToUse-"></a>1188 <span class="k">sub </span><span class="m">SetAtomicInvariantsToUse</span> <span class="s">{</span>
1189   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1190   <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="cm">,</span> <span class="i">$AtomicInvariant</span><span class="cm">,</span> <span class="i">$SpecifiedAtomicInvariant</span><span class="cm">,</span> <span class="i">$AtomicInvariantValue</span><span class="cm">,</span> <span class="i">@SpecifiedAtomicInvariants</span><span class="cm">,</span> <span class="i">@AtomicInvariantsToUse</span><span class="s">)</span><span class="sc">;</span>
1191 
1192   <span class="k">if</span> <span class="s">(</span>!<span class="i">@Values</span><span class="s">)</span> <span class="s">{</span>
1193     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;SetAtomicInvariantsToUse: No values specified...&quot;</span><span class="sc">;</span>
1194     <span class="k">return</span><span class="sc">;</span>
1195   <span class="s">}</span>
1196 
1197   <span class="i">$FirstValue</span> = <span class="i">$Values</span>[<span class="n">0</span>]<span class="sc">;</span>
1198   <span class="i">$TypeOfFirstValue</span> = <span class="k">ref</span> <span class="i">$FirstValue</span><span class="sc">;</span>
1199 
1200   <span class="i">@SpecifiedAtomicInvariants</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1201   <span class="i">@AtomicInvariantsToUse</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1202 
1203   <span class="k">if</span> <span class="s">(</span><span class="i">$TypeOfFirstValue</span> =~ <span class="q">/^ARRAY/</span><span class="s">)</span> <span class="s">{</span>
1204     <span class="k">push</span> <span class="i">@SpecifiedAtomicInvariants</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$FirstValue</span>}<span class="sc">;</span>
1205   <span class="s">}</span>
1206   <span class="k">else</span> <span class="s">{</span>
1207     <span class="k">push</span> <span class="i">@SpecifiedAtomicInvariants</span><span class="cm">,</span> <span class="i">@Values</span><span class="sc">;</span>
1208   <span class="s">}</span>
1209 
1210   <span class="c"># Make sure specified AtomicInvariants are valid...</span>
1211   <span class="k">for</span> <span class="i">$SpecifiedAtomicInvariant</span> <span class="s">(</span><span class="i">@SpecifiedAtomicInvariants</span><span class="s">)</span> <span class="s">{</span>
1212     <span class="k">if</span> <span class="s">(</span>!<span class="i">AtomTypes::AtomicInvariantsAtomTypes::IsAtomicInvariantAvailable</span><span class="s">(</span><span class="i">$SpecifiedAtomicInvariant</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1213       <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetAtomicInvariantsToUse: Specified atomic invariant, $SpecifiedAtomicInvariant, is not supported...\n &quot;</span><span class="sc">;</span>
1214     <span class="s">}</span>
1215     <span class="i">$AtomicInvariant</span> = <span class="i">$SpecifiedAtomicInvariant</span><span class="sc">;</span>
1216     <span class="k">push</span> <span class="i">@AtomicInvariantsToUse</span><span class="cm">,</span> <span class="i">$AtomicInvariant</span><span class="sc">;</span>
1217   <span class="s">}</span>
1218 
1219   <span class="c"># Set atomic invariants to use...</span>
1220   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomicInvariantsToUse</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1221   <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomicInvariantsToUse</span>}}<span class="cm">,</span> <span class="i">@AtomicInvariantsToUse</span><span class="sc">;</span>
1222 
1223   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1224 <span class="s">}</span>
1225 
1226 <span class="c"># Set functional classes to use for atom identifiers...</span>
1227 <span class="c">#</span>
<a name="SetFunctionalClassesToUse-"></a>1228 <span class="k">sub </span><span class="m">SetFunctionalClassesToUse</span> <span class="s">{</span>
1229   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="cm">,</span> <span class="i">@Values</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1230   <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="cm">,</span> <span class="i">$FunctionalClass</span><span class="cm">,</span> <span class="i">$SpecifiedFunctionalClass</span><span class="cm">,</span> <span class="i">@SpecifiedFunctionalClasses</span><span class="cm">,</span> <span class="i">@FunctionalClassesToUse</span><span class="s">)</span><span class="sc">;</span>
1231 
1232   <span class="k">if</span> <span class="s">(</span>!<span class="i">@Values</span><span class="s">)</span> <span class="s">{</span>
1233     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;SetFunctionalClassesToUse: No values specified...&quot;</span><span class="sc">;</span>
1234     <span class="k">return</span><span class="sc">;</span>
1235   <span class="s">}</span>
1236 
1237   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} !~ <span class="q">/^FunctionalClassAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
1238     <span class="w">carp</span> <span class="q">&quot;Warning: ${ClassName}-&gt;SetFunctionalClassesToUse: FunctionalClassesToUse can&#39;t be set for InitialAtomIdentifierType of $This-&gt;{AtomIdentifierType}...&quot;</span><span class="sc">;</span>
1239     <span class="k">return</span><span class="sc">;</span>
1240   <span class="s">}</span>
1241 
1242   <span class="i">$FirstValue</span> = <span class="i">$Values</span>[<span class="n">0</span>]<span class="sc">;</span>
1243   <span class="i">$TypeOfFirstValue</span> = <span class="k">ref</span> <span class="i">$FirstValue</span><span class="sc">;</span>
1244 
1245   <span class="i">@SpecifiedFunctionalClasses</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1246   <span class="i">@FunctionalClassesToUse</span> = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1247 
1248   <span class="k">if</span> <span class="s">(</span><span class="i">$TypeOfFirstValue</span> =~ <span class="q">/^ARRAY/</span><span class="s">)</span> <span class="s">{</span>
1249     <span class="k">push</span> <span class="i">@SpecifiedFunctionalClasses</span><span class="cm">,</span> <span class="i">@</span>{<span class="i">$FirstValue</span>}<span class="sc">;</span>
1250   <span class="s">}</span>
1251   <span class="k">else</span> <span class="s">{</span>
1252     <span class="k">push</span> <span class="i">@SpecifiedFunctionalClasses</span><span class="cm">,</span> <span class="i">@Values</span><span class="sc">;</span>
1253   <span class="s">}</span>
1254 
1255   <span class="c"># Make sure specified FunctionalClasses are valid...</span>
1256   <span class="k">for</span> <span class="i">$SpecifiedFunctionalClass</span> <span class="s">(</span><span class="i">@SpecifiedFunctionalClasses</span><span class="s">)</span> <span class="s">{</span>
1257     <span class="k">if</span> <span class="s">(</span>!<span class="i">AtomTypes::FunctionalClassAtomTypes::IsFunctionalClassAvailable</span><span class="s">(</span><span class="i">$SpecifiedFunctionalClass</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
1258       <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;SetFunctionalClassesToUse: Specified functional class, $SpecifiedFunctionalClass, is not supported...\n &quot;</span><span class="sc">;</span>
1259     <span class="s">}</span>
1260     <span class="k">push</span> <span class="i">@FunctionalClassesToUse</span><span class="cm">,</span> <span class="i">$SpecifiedFunctionalClass</span><span class="sc">;</span>
1261   <span class="s">}</span>
1262 
1263   <span class="c"># Set functional classes to use...</span>
1264   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">FunctionalClassesToUse</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1265   <span class="k">push</span> <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">FunctionalClassesToUse</span>}}<span class="cm">,</span> <span class="i">@FunctionalClassesToUse</span><span class="sc">;</span>
1266 
1267   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1268 <span class="s">}</span>
1269 
1270 <span class="c"># Initialize atom indentifier type information...</span>
1271 <span class="c">#</span>
1272 <span class="c"># Current supported values:</span>
1273 <span class="c">#</span>
1274 <span class="c"># AtomicInvariantsAtomTypes, DREIDINGAtomTypes, EStateAtomTypes, FunctionalClassAtomTypes,</span>
1275 <span class="c"># MMFF94AtomTypes, SLogPAtomTypes, SYBYLAtomTypes, TPSAAtomTypes, UFFAtomTypes</span>
1276 <span class="c">#</span>
<a name="_InitializeAtomIdentifierTypeInformation-"></a>1277 <span class="k">sub </span><span class="m">_InitializeAtomIdentifierTypeInformation</span> <span class="s">{</span>
1278   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1279 
1280   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^AtomicInvariantsAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
1281     <span class="i">$This</span><span class="i">-&gt;_InitializeAtomicInvariantsAtomTypesInformation</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1282   <span class="s">}</span>
1283   <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^FunctionalClassAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
1284     <span class="i">$This</span><span class="i">-&gt;_InitializeFunctionalClassAtomTypesInformation</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1285   <span class="s">}</span>
1286   <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^(DREIDINGAtomTypes|EStateAtomTypes|MMFF94AtomTypes|SLogPAtomTypes|SYBYLAtomTypes|TPSAAtomTypes|UFFAtomTypes)$/i</span><span class="s">)</span> <span class="s">{</span>
1287     <span class="c"># Nothing to do for now...</span>
1288   <span class="s">}</span>
1289   <span class="k">else</span> <span class="s">{</span>
1290     <span class="w">croak</span> <span class="q">&quot;Error: ${ClassName}-&gt;_InitializeAtomIdentifierTypeInformation: Unknown atom indentifier type $This-&gt;{AtomIdentifierType}...&quot;</span><span class="sc">;</span>
1291   <span class="s">}</span>
1292 
1293   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1294 <span class="s">}</span>
1295 
1296 <span class="c"># Initialize atomic invariants atom types to use for generating atom identifiers...</span>
1297 <span class="c">#</span>
1298 <span class="c"># Let:</span>
1299 <span class="c">#   AS = Atom symbol corresponding to element symbol</span>
1300 <span class="c">#</span>
1301 <span class="c">#   X&lt;n&gt;   = Number of non-hydrogen atom neighbors or heavy atoms attached to atom</span>
1302 <span class="c">#   BO&lt;n&gt; = Sum of bond orders to non-hydrogen atom neighbors or heavy atoms attached to atom</span>
1303 <span class="c">#   LBO&lt;n&gt; = Largest bond order of non-hydrogen atom neighbors or heavy atoms attached to atom</span>
1304 <span class="c">#   SB&lt;n&gt; = Number of single bonds to non-hydrogen atom neighbors or heavy atoms attached to atom</span>
1305 <span class="c">#   DB&lt;n&gt; = Number of double bonds to non-hydrogen atom neighbors or heavy atoms attached to atom</span>
1306 <span class="c">#   TB&lt;n&gt; = Number of triple bonds to non-hydrogen atom neighbors or heavy atoms attached to atom</span>
1307 <span class="c">#   H&lt;n&gt;   = Number of implicit and explicit hydrogens for atom</span>
1308 <span class="c">#   Ar     = Aromatic annotation indicating whether atom is aromatic</span>
1309 <span class="c">#   RA     = Ring atom annotation indicating whether atom is a ring</span>
1310 <span class="c">#   FC&lt;+n/-n&gt; = Formal charge assigned to atom</span>
1311 <span class="c">#   MN&lt;n&gt; = Mass number indicating isotope other than most abundant isotope</span>
1312 <span class="c">#   SM&lt;n&gt; = Spin multiplicity of atom. Possible values: 1 (singlet), 2 (doublet) or 3 (triplet)</span>
1313 <span class="c">#</span>
1314 <span class="c"># Then:</span>
1315 <span class="c">#</span>
1316 <span class="c">#   Atom type generated by AtomTypes::AtomicInvariantsAtomTypes class corresponds to:</span>
1317 <span class="c">#</span>
1318 <span class="c">#     AS.X&lt;n&gt;.BO&lt;n&gt;.LBO&lt;n&gt;.&lt;SB&gt;&lt;n&gt;.&lt;DB&gt;&lt;n&gt;.&lt;TB&gt;&lt;n&gt;.H&lt;n&gt;.Ar.RA.FC&lt;+n/-n&gt;.MN&lt;n&gt;.SM&lt;n&gt;</span>
1319 <span class="c">#</span>
1320 <span class="c"># Except for AS which is a required atomic invariant in atom types, all other atomic invariants are</span>
1321 <span class="c"># optional. Default atomic invariants used for AtomID are: AS, X&lt;n&gt;, BO&lt;n&gt;, H&lt;n&gt;, FC&lt;+n/-n&gt;.</span>
1322 <span class="c"># AtomID specification doesn&#39;t include atomic invariants with zero or undefined values.</span>
1323 <span class="c">#</span>
<a name="_InitializeAtomicInvariantsAtomTypesInformation-"></a>1324 <span class="k">sub </span><span class="m">_InitializeAtomicInvariantsAtomTypesInformation</span> <span class="s">{</span>
1325   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1326 
1327   <span class="c"># Default atomic invariants to use for generating atom neighborhood atom IDs: AS, X, BO, H, FC</span>
1328   <span class="c">#</span>
1329   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomicInvariantsToUse</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1330   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomicInvariantsToUse</span>}} = <span class="s">(</span><span class="q">&#39;AS&#39;</span><span class="cm">,</span> <span class="q">&#39;X&#39;</span><span class="cm">,</span> <span class="q">&#39;BO&#39;</span><span class="cm">,</span> <span class="q">&#39;H&#39;</span><span class="cm">,</span> <span class="q">&#39;FC&#39;</span><span class="s">)</span><span class="sc">;</span>
1331 
1332   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1333 <span class="s">}</span>
1334 
1335 <span class="c"># Initialize functional class atom types, generated by AtomTypes::FunctionalClassAtomTypes</span>
1336 <span class="c"># class, to use for generating atom identifiers...</span>
1337 <span class="c">#</span>
1338 <span class="c"># Let:</span>
1339 <span class="c">#   HBD: HydrogenBondDonor</span>
1340 <span class="c">#   HBA: HydrogenBondAcceptor</span>
1341 <span class="c">#   PI :  PositivelyIonizable</span>
1342 <span class="c">#   NI : NegativelyIonizable</span>
1343 <span class="c">#   Ar : Aromatic</span>
1344 <span class="c">#   Hal : Halogen</span>
1345 <span class="c">#   H : Hydrophobic</span>
1346 <span class="c">#   RA : RingAtom</span>
1347 <span class="c">#   CA : ChainAtom</span>
1348 <span class="c">#</span>
1349 <span class="c"># Then:</span>
1350 <span class="c">#</span>
1351 <span class="c">#   Functiononal class atom type specification for an atom corresponds to:</span>
1352 <span class="c">#</span>
1353 <span class="c">#     Ar.CA.H.HBA.HBD.Hal.NI.PI.RA</span>
1354 <span class="c">#</span>
1355 <span class="c">#   Default functional classes used are: HBD, HBA, PI, NI, Ar, Hal</span>
1356 <span class="c">#</span>
1357 <span class="c">#   FunctionalAtomTypes are assigned using the following definitions [ Ref 60-61, Ref 65-66 ]:</span>
1358 <span class="c">#</span>
1359 <span class="c">#     HydrogenBondDonor: NH, NH2, OH</span>
1360 <span class="c">#     HydrogenBondAcceptor: N[!H], O</span>
1361 <span class="c">#     PositivelyIonizable: +, NH2</span>
1362 <span class="c">#     NegativelyIonizable: -, C(=O)OH, S(=O)OH, P(=O)OH</span>
1363 <span class="c">#</span>
<a name="_InitializeFunctionalClassAtomTypesInformation-"></a>1364 <span class="k">sub </span><span class="m">_InitializeFunctionalClassAtomTypesInformation</span> <span class="s">{</span>
1365   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1366 
1367   <span class="c"># Default functional class atom typess to use for generating atom identifiers</span>
1368   <span class="c"># are: HBD, HBA, PI, NI, Ar, Hal</span>
1369   <span class="c">#</span>
1370   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">FunctionalClassesToUse</span>}} = <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1371   <span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">FunctionalClassesToUse</span>}} = <span class="s">(</span><span class="q">&#39;HBD&#39;</span><span class="cm">,</span> <span class="q">&#39;HBA&#39;</span><span class="cm">,</span> <span class="q">&#39;PI&#39;</span><span class="cm">,</span> <span class="q">&#39;NI&#39;</span><span class="cm">,</span> <span class="q">&#39;Ar&#39;</span><span class="cm">,</span> <span class="q">&#39;Hal&#39;</span><span class="s">)</span><span class="sc">;</span>
1372 
1373   <span class="k">return</span> <span class="i">$This</span><span class="sc">;</span>
1374 <span class="s">}</span>
1375 
1376 <span class="c"># Return a string containg data for PathLengthFingerprints object...</span>
1377 <span class="c">#</span>
<a name="StringifyPathLengthFingerprints-"></a>1378 <span class="k">sub </span><span class="m">StringifyPathLengthFingerprints</span> <span class="s">{</span>
1379   <span class="k">my</span><span class="s">(</span><span class="i">$This</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
1380   <span class="k">my</span><span class="s">(</span><span class="i">$PathLengthsFingerprintsString</span><span class="s">)</span><span class="sc">;</span>
1381 
1382   <span class="c"># Type of fingerprint...</span>
1383   <span class="i">$PathLengthsFingerprintsString</span> = <span class="q">&quot;Fingerprint type: $This-&gt;{Type}; AtomIdentifierType: $This-&gt;{AtomIdentifierType}&quot;</span><span class="sc">;</span>
1384 
1385   <span class="c"># Path length...</span>
1386   <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; MinPathLength: $This-&gt;{MinLength}; MaxPathLength: $This-&gt;{MaxLength}&quot;</span><span class="sc">;</span>
1387 
1388   <span class="c"># Fingerprint generation control...</span>
1389   <span class="k">my</span><span class="s">(</span><span class="i">$AllowSharedBonds</span><span class="cm">,</span> <span class="i">$AllowRings</span><span class="cm">,</span> <span class="i">$UseBondSymbols</span><span class="cm">,</span> <span class="i">$UseUniquePaths</span><span class="s">)</span><span class="sc">;</span>
1390 
1391   <span class="i">$AllowSharedBonds</span> = <span class="i">$This</span>-&gt;{<span class="w">AllowSharedBonds</span>} ? <span class="q">&quot;Yes&quot;</span> <span class="co">:</span> <span class="q">&quot;No&quot;</span><span class="sc">;</span>
1392   <span class="i">$AllowRings</span> = <span class="i">$This</span>-&gt;{<span class="w">AllowRings</span>} ? <span class="q">&quot;Yes&quot;</span> <span class="co">:</span> <span class="q">&quot;No&quot;</span><span class="sc">;</span>
1393   <span class="i">$UseBondSymbols</span> = <span class="i">$This</span>-&gt;{<span class="w">UseBondSymbols</span>} ? <span class="q">&quot;Yes&quot;</span> <span class="co">:</span> <span class="q">&quot;No&quot;</span><span class="sc">;</span>
1394   <span class="i">$UseUniquePaths</span> = <span class="i">$This</span>-&gt;{<span class="w">UseBondSymbols</span>} ? <span class="q">&quot;Yes&quot;</span> <span class="co">:</span> <span class="q">&quot;No&quot;</span><span class="sc">;</span>
1395 
1396   <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; UseUniquePaths: $UseUniquePaths; AllowSharedBonds: $AllowSharedBonds; AllowRings: $AllowRings; UseBondSymbols: $UseBondSymbols&quot;</span><span class="sc">;</span>
1397 
1398   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^AtomicInvariantsAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
1399     <span class="k">my</span><span class="s">(</span><span class="i">$AtomicInvariant</span><span class="cm">,</span> <span class="i">@AtomicInvariants</span><span class="cm">,</span> <span class="i">@AtomicInvariantsOrder</span><span class="cm">,</span> <span class="i">%AvailableAtomicInvariants</span><span class="s">)</span><span class="sc">;</span>
1400 
1401     <span class="i">@AtomicInvariantsOrder</span> = <span class="i">AtomTypes::AtomicInvariantsAtomTypes::GetAtomicInvariantsOrder</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1402     <span class="i">%AvailableAtomicInvariants</span> = <span class="i">AtomTypes::AtomicInvariantsAtomTypes::GetAvailableAtomicInvariants</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1403 
1404     <span class="k">for</span> <span class="i">$AtomicInvariant</span> <span class="s">(</span><span class="i">@AtomicInvariantsOrder</span><span class="s">)</span> <span class="s">{</span>
1405       <span class="k">push</span> <span class="i">@AtomicInvariants</span><span class="cm">,</span> <span class="q">&quot;$AtomicInvariant: $AvailableAtomicInvariants{$AtomicInvariant}&quot;</span><span class="sc">;</span>
1406     <span class="s">}</span>
1407 
1408     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; AtomicInvariantsToUse: &lt;&quot;</span> . <span class="i">TextUtil::JoinWords</span><span class="s">(</span>\<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">AtomicInvariantsToUse</span>}}<span class="cm">,</span> <span class="q">&quot;, &quot;</span><span class="cm">,</span> <span class="n">0</span><span class="s">)</span> . <span class="q">&quot;&gt;&quot;</span><span class="sc">;</span>
1409     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; AtomicInvariantsOrder: &lt;&quot;</span> . <span class="i">TextUtil::JoinWords</span><span class="s">(</span>\<span class="i">@AtomicInvariantsOrder</span><span class="cm">,</span> <span class="q">&quot;, &quot;</span><span class="cm">,</span> <span class="n">0</span><span class="s">)</span> . <span class="q">&quot;&gt;&quot;</span><span class="sc">;</span>
1410     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; AvailableAtomicInvariants: &lt;&quot;</span> . <span class="i">TextUtil::JoinWords</span><span class="s">(</span>\<span class="i">@AtomicInvariants</span><span class="cm">,</span> <span class="q">&quot;, &quot;</span><span class="cm">,</span> <span class="n">0</span><span class="s">)</span> . <span class="q">&quot;&gt;&quot;</span><span class="sc">;</span>
1411   <span class="s">}</span>
1412   <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">AtomIdentifierType</span>} =~ <span class="q">/^FunctionalClassAtomTypes$/i</span><span class="s">)</span> <span class="s">{</span>
1413     <span class="k">my</span><span class="s">(</span><span class="i">$FunctionalClass</span><span class="cm">,</span> <span class="i">@FunctionalClasses</span><span class="cm">,</span> <span class="i">@FunctionalClassesOrder</span><span class="cm">,</span> <span class="i">%AvailableFunctionalClasses</span><span class="s">)</span><span class="sc">;</span>
1414 
1415     <span class="i">@FunctionalClassesOrder</span> = <span class="i">AtomTypes::FunctionalClassAtomTypes::GetFunctionalClassesOrder</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1416     <span class="i">%AvailableFunctionalClasses</span> = <span class="i">AtomTypes::FunctionalClassAtomTypes::GetAvailableFunctionalClasses</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1417 
1418     <span class="k">for</span> <span class="i">$FunctionalClass</span> <span class="s">(</span><span class="i">@FunctionalClassesOrder</span><span class="s">)</span> <span class="s">{</span>
1419       <span class="k">push</span> <span class="i">@FunctionalClasses</span><span class="cm">,</span> <span class="q">&quot;$FunctionalClass: $AvailableFunctionalClasses{$FunctionalClass}&quot;</span><span class="sc">;</span>
1420     <span class="s">}</span>
1421 
1422     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; FunctionalClassesToUse: &lt;&quot;</span> . <span class="i">TextUtil::JoinWords</span><span class="s">(</span>\<span class="i">@</span>{<span class="i">$This</span>-&gt;{<span class="w">FunctionalClassesToUse</span>}}<span class="cm">,</span> <span class="q">&quot;, &quot;</span><span class="cm">,</span> <span class="n">0</span><span class="s">)</span> . <span class="q">&quot;&gt;&quot;</span><span class="sc">;</span>
1423     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; FunctionalClassesOrder: &lt;&quot;</span> . <span class="i">TextUtil::JoinWords</span><span class="s">(</span>\<span class="i">@FunctionalClassesOrder</span><span class="cm">,</span> <span class="q">&quot;, &quot;</span><span class="cm">,</span> <span class="n">0</span><span class="s">)</span> . <span class="q">&quot;&gt;&quot;</span><span class="sc">;</span>
1424     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; AvailableFunctionalClasses: &lt;&quot;</span> . <span class="i">TextUtil::JoinWords</span><span class="s">(</span>\<span class="i">@FunctionalClasses</span><span class="cm">,</span> <span class="q">&quot;, &quot;</span><span class="cm">,</span> <span class="n">0</span><span class="s">)</span> . <span class="q">&quot;&gt;&quot;</span><span class="sc">;</span>
1425   <span class="s">}</span>
1426 
1427   <span class="k">if</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">Type</span>} =~ <span class="q">/^PathLengthBits$/i</span><span class="s">)</span> <span class="s">{</span>
1428     <span class="c"># Size...</span>
1429     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; Size: $This-&gt;{Size}; MinSize: $This-&gt;{MinSize}; MaxSize: $This-&gt;{MaxSize}&quot;</span><span class="sc">;</span>
1430 
1431     <span class="c"># NumOfBitsToSetPerPath...</span>
1432     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; NumOfBitsToSetPerPath: $This-&gt;{NumOfBitsToSetPerPath}&quot;</span><span class="sc">;</span>
1433 
1434     <span class="c"># Fingerprint bit density and num of bits set...</span>
1435     <span class="k">my</span><span class="s">(</span><span class="i">$NumOfSetBits</span><span class="cm">,</span> <span class="i">$BitDensity</span><span class="s">)</span><span class="sc">;</span>
1436     <span class="i">$NumOfSetBits</span> = <span class="i">$This</span>-&gt;{<span class="w">FingerprintsBitVector</span>}<span class="i">-&gt;GetNumOfSetBits</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1437     <span class="i">$BitDensity</span> = <span class="i">$This</span>-&gt;{<span class="w">FingerprintsBitVector</span>}<span class="i">-&gt;GetFingerprintsBitDensity</span><span class="s">(</span><span class="s">)</span><span class="sc">;</span>
1438     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; NumOfOnBits: $NumOfSetBits; BitDensity: $BitDensity&quot;</span><span class="sc">;</span>
1439 
1440     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; FingerprintsBitVector: &lt; $This-&gt;{FingerprintsBitVector} &gt;&quot;</span><span class="sc">;</span>
1441   <span class="s">}</span>
1442   <span class="k">elsif</span> <span class="s">(</span><span class="i">$This</span>-&gt;{<span class="w">Type</span>} =~ <span class="q">/^PathLengthCount$/i</span><span class="s">)</span> <span class="s">{</span>
1443     <span class="i">$PathLengthsFingerprintsString</span> .= <span class="q">&quot;; FingerprintsVector: &lt; $This-&gt;{FingerprintsVector} &gt;&quot;</span><span class="sc">;</span>
1444   <span class="s">}</span>
1445 
1446   <span class="k">return</span> <span class="i">$PathLengthsFingerprintsString</span><span class="sc">;</span>
1447 <span class="s">}</span>
1448 
<a name="EOF-"></a></pre>
<p>&nbsp;</p>
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