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+<a name="package-MathUtil-"></a>   1 <span class="k">package </span><span class="i">MathUtil</span><span class="sc">;</span>
+   2 <span class="c">#</span>
+   3 <span class="c"># $RCSfile: MathUtil.pm,v $</span>
+   4 <span class="c"># $Date: 2015/02/28 20:47:17 $</span>
+   5 <span class="c"># $Revision: 1.28 $</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">Exporter</span><span class="sc">;</span>
+  31 <span class="k">use</span> <span class="w">Constants</span><span class="sc">;</span>
+  32 <span class="k">use</span> <span class="w">Math::Trig</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+  33 <span class="k">use</span> <span class="w">POSIX</span> <span class="s">(</span><span class="s">)</span><span class="sc">;</span>
+  34 
+  35 <span class="k">use</span> <span class="w">vars</span> <span class="q">qw(@ISA @EXPORT @EXPORT_OK %EXPORT_TAGS)</span><span class="sc">;</span>
+  36 
+  37 <span class="i">@ISA</span> = <span class="q">qw(Exporter)</span><span class="sc">;</span>
+  38 <span class="i">@EXPORT</span> = <span class="q">qw(acos asin atan tan ceil floor log10 min max srandom random round GeneratePrimeNumbersUpToLimit GeneratePrimeNumbersUpToCount)</span><span class="sc">;</span>
+  39 <span class="i">@EXPORT_OK</span> = <span class="q">qw()</span><span class="sc">;</span>
+  40 
+  41 <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>
+  42                <span class="s">)</span><span class="sc">;</span>
+  43 
+  44 
+  45 <span class="c"># Return next largest integer...</span>
+<a name="ceil-"></a>  46 <span class="k">sub </span><span class="m">ceil ($)</span> <span class="s">{</span>
+  47   <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+  48 
+  49   <span class="k">return</span> <span class="i">POSIX::ceil</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="sc">;</span>
+  50 <span class="s">}</span>
+  51 
+  52 <span class="c"># Return previous smallest integer...</span>
+<a name="floor-"></a>  53 <span class="k">sub </span><span class="m">floor ($)</span> <span class="s">{</span>
+  54   <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+  55 
+  56   <span class="k">return</span> <span class="i">POSIX::floor</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="sc">;</span>
+  57 <span class="s">}</span>
+  58 
+  59 <span class="c"># Calculate log value using base 10...</span>
+<a name="log10-"></a>  60 <span class="k">sub </span><span class="m">log10 ($)</span> <span class="s">{</span>
+  61   <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+  62 
+  63   <span class="k">return</span> <span class="i">CORE::</span><span class="k">log</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span>/<span class="i">CORE::</span><span class="k">log</span><span class="s">(</span><span class="n">10</span><span class="s">)</span><span class="sc">;</span>
+  64 <span class="s">}</span>
+  65 
+  66 <span class="c"># Return the smaller of two numbers...</span>
+<a name="min-"></a>  67 <span class="k">sub </span><span class="m">min ($$)</span> <span class="s">{</span>
+  68   <span class="k">my</span><span class="s">(</span><span class="i">$Value1</span><span class="cm">,</span> <span class="i">$Value2</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+  69 
+  70   <span class="k">return</span> <span class="s">(</span><span class="i">$Value1</span> &lt;= <span class="i">$Value2</span><span class="s">)</span> ? <span class="i">$Value1</span> <span class="co">:</span> <span class="i">$Value2</span><span class="sc">;</span>
+  71 <span class="s">}</span>
+  72 
+  73 <span class="c"># Return the larger of two numbers...</span>
+<a name="max-"></a>  74 <span class="k">sub </span><span class="m">max ($$)</span> <span class="s">{</span>
+  75   <span class="k">my</span><span class="s">(</span><span class="i">$Value1</span><span class="cm">,</span> <span class="i">$Value2</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+  76 
+  77   <span class="k">return</span> <span class="s">(</span><span class="i">$Value1</span> &gt;= <span class="i">$Value2</span><span class="s">)</span> ? <span class="i">$Value1</span> <span class="co">:</span> <span class="i">$Value2</span><span class="sc">;</span>
+  78 <span class="s">}</span>
+  79 
+  80 <span class="c"># The random number generator implemented in MayaChemTools is a variant of linear</span>
+  81 <span class="c"># congruential generator (LCG) as described by Miller et al. [ Ref 120 ]. It is</span>
+  82 <span class="c"># also referred to as Lehmer random number generator or Park-Miller random number</span>
+  83 <span class="c"># generator.</span>
+  84 <span class="c">#</span>
+  85 <span class="c"># Unlike Perl&#39;s core random number generator function rand, the random number</span>
+  86 <span class="c"># generator implemented in MayaChemTools generates consistent random values</span>
+  87 <span class="c"># across different platforms - Windows, CygWin, Linux, Unix - for a specific random</span>
+  88 <span class="c"># seed.</span>
+  89 <span class="c">#</span>
+  90 
+  91 <span class="c"># $RandomModulus = 2**31 - 1;</span>
+  92 <span class="c"># $RandomMultiplier = 16807;</span>
+  93 <span class="c"># $RandomQuotient = $RandomModulus / $RandomMultiplier;</span>
+  94 <span class="c"># $RandomRemainder = $RandomModulus % $RandomMultiplier</span>
+  95 <span class="c">#</span>
+  96 <span class="c"># $MaxRandomSeed = 2*31 -2</span>
+  97 <span class="c">#</span>
+  98 <span class="k">my</span><span class="s">(</span><span class="i">$MaxRandomSeed</span><span class="cm">,</span> <span class="i">$RandomSeed</span><span class="cm">,</span> <span class="i">$RandomModulus</span><span class="cm">,</span> <span class="i">$RandomMultiplier</span><span class="cm">,</span> <span class="i">$RandomQuotient</span><span class="cm">,</span> <span class="i">$RandomRemainder</span><span class="s">)</span><span class="sc">;</span>
+  99 
+ 100 <span class="i">$MaxRandomSeed</span> = <span class="n">2147483646</span><span class="sc">;</span>
+ 101 <span class="i">$RandomSeed</span> = <span class="n">123456789</span><span class="sc">;</span>
+ 102 
+ 103 <span class="i">$RandomModulus</span> = <span class="n">2147483647</span><span class="sc">;</span>
+ 104 <span class="i">$RandomMultiplier</span> = <span class="n">16807</span><span class="sc">;</span>
+ 105 <span class="i">$RandomQuotient</span> = <span class="n">127773</span><span class="sc">;</span>
+ 106 <span class="i">$RandomRemainder</span> = <span class="n">2836</span><span class="sc">;</span>
+ 107 
+ 108 <span class="c"># Set random number seed...</span>
+ 109 <span class="c">#</span>
+ 110 <span class="c"># The intial value of random number seed is recommeded to be an integer between 1</span>
+ 111 <span class="c"># and 2**31 - 2 [Ref 120] which translates to be 1 and 2147483646</span>
+ 112 <span class="c">#</span>
+<a name="srandom-"></a> 113 <span class="k">sub </span><span class="m">srandom ($)</span> <span class="s">{</span>
+ 114   <span class="k">my</span><span class="s">(</span><span class="i">$Seed</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 115 
+ 116   <span class="k">if</span> <span class="s">(</span><span class="i">$Seed</span> &lt;= <span class="n">0</span> <span class="s">)</span> <span class="s">{</span>
+ 117     <span class="k">die</span> <span class="q">&quot;Error: srandom: Specified seed value must be greater than 0...&quot;</span><span class="sc">;</span>
+ 118   <span class="s">}</span>
+ 119 
+ 120   <span class="i">$RandomSeed</span> = <span class="s">(</span><span class="i">$Seed</span> &gt; <span class="i">$MaxRandomSeed</span><span class="s">)</span> ? <span class="s">(</span><span class="i">$Seed</span> % <span class="i">$MaxRandomSeed</span><span class="s">)</span> <span class="co">:</span> <span class="i">$Seed</span><span class="sc">;</span>
+ 121 
+ 122   <span class="k">return</span> <span class="i">$RandomSeed</span><span class="sc">;</span>
+ 123 <span class="s">}</span>
+ 124 
+ 125 <span class="c"># Retrun a random number between 0 and less than 1 or specified size...</span>
+ 126 <span class="c">#</span>
+<a name="random-"></a> 127 <span class="k">sub </span><span class="m">random (;$)</span> <span class="s">{</span>
+ 128   <span class="k">my</span><span class="s">(</span><span class="i">$Size</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 129   <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="cm">,</span> <span class="i">$LowValue</span><span class="cm">,</span> <span class="i">$HighValue</span><span class="s">)</span><span class="sc">;</span>
+ 130 
+ 131   <span class="i">$Size</span> = <span class="k">defined</span> <span class="i">$Size</span> ? <span class="i">$Size</span> <span class="co">:</span> <span class="n">1.0</span><span class="sc">;</span>
+ 132 
+ 133   <span class="i">$HighValue</span> = <span class="i">$RandomSeed</span> / <span class="i">$RandomQuotient</span><span class="sc">;</span>
+ 134   <span class="i">$LowValue</span> = <span class="i">$RandomSeed</span> % <span class="i">$RandomQuotient</span><span class="sc">;</span>
+ 135 
+ 136   <span class="i">$Value</span> = <span class="i">$RandomMultiplier</span> * <span class="i">$LowValue</span> - <span class="i">$RandomRemainder</span> * <span class="i">$HighValue</span><span class="sc">;</span>
+ 137 
+ 138   <span class="i">$RandomSeed</span> = <span class="s">(</span><span class="i">$Value</span> &gt; <span class="n">0</span><span class="s">)</span> ? <span class="i">$Value</span> <span class="co">:</span> <span class="s">(</span><span class="i">$Value</span> + <span class="i">$RandomModulus</span><span class="s">)</span><span class="sc">;</span>
+ 139 
+ 140   <span class="k">return</span> <span class="s">(</span><span class="i">$RandomSeed</span> / <span class="i">$RandomModulus</span><span class="s">)</span> * <span class="i">$Size</span><span class="sc">;</span>
+ 141 <span class="s">}</span>
+ 142 
+ 143 <span class="c"># Round a integer/real number to:</span>
+ 144 <span class="c"># . A nearest integer</span>
+ 145 <span class="c"># . Specified number of decimal places</span>
+ 146 <span class="c">#</span>
+<a name="round-"></a> 147 <span class="k">sub </span><span class="m">round ($;$)</span> <span class="s">{</span>
+ 148   <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="cm">,</span> <span class="i">$DecimalPlaces</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 149   <span class="k">my</span><span class="s">(</span><span class="i">$RoundedValue</span><span class="s">)</span><span class="sc">;</span>
+ 150 
+ 151   <span class="k">if</span> <span class="s">(</span><span class="k">defined</span><span class="s">(</span><span class="i">$DecimalPlaces</span><span class="s">)</span> &amp;&amp; <span class="i">$DecimalPlaces</span> &gt; <span class="n">0</span><span class="s">)</span> <span class="s">{</span>
+ 152     <span class="i">$RoundedValue</span> = <span class="k">sprintf</span> <span class="q">&quot;%.${DecimalPlaces}f&quot;</span><span class="cm">,</span> <span class="i">$Value</span><span class="sc">;</span>
+ 153   <span class="s">}</span>
+ 154   <span class="k">else</span> <span class="s">{</span>
+ 155     <span class="k">if</span> <span class="s">(</span><span class="i">$Value</span> &lt; <span class="n">0</span><span class="s">)</span> <span class="s">{</span>
+ 156       <span class="i">$RoundedValue</span> = <span class="k">int</span><span class="s">(</span><span class="i">$Value</span> - <span class="n">0.5</span><span class="s">)</span><span class="sc">;</span>
+ 157     <span class="s">}</span>
+ 158     <span class="k">else</span> <span class="s">{</span>
+ 159       <span class="i">$RoundedValue</span> = <span class="k">int</span><span class="s">(</span><span class="i">$Value</span> + <span class="n">0.5</span><span class="s">)</span><span class="sc">;</span>
+ 160     <span class="s">}</span>
+ 161   <span class="s">}</span>
+ 162   <span class="k">return</span> <span class="i">$RoundedValue</span><span class="sc">;</span>
+ 163 <span class="s">}</span>
+ 164 
+ 165 <span class="c"># Return tangent of an angle expressed in radians.</span>
+<a name="tan-"></a> 166 <span class="k">sub </span><span class="m">tan</span> <span class="s">{</span>
+ 167   <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 168 
+ 169   <span class="k">return</span> <span class="s">(</span><span class="i">CORE::</span><span class="k">sin</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span>/<span class="i">CORE::</span><span class="k">cos</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="s">)</span><span class="sc">;</span>
+ 170 <span class="s">}</span>
+ 171 
+ 172 <span class="c"># Return inverse sine of an angle expressed in radians.</span>
+ 173 <span class="c">#</span>
+ 174 <span class="c"># For a right angle triangle defined by sides X and Y in a unit circle, Pythagorean theorem implies</span>
+ 175 <span class="c"># X**2 + Y**2 = 1 and sin value corresponds to Y. So asin is equivalent to atan2(Y, sqrt(1-Y**2)).</span>
+ 176 <span class="c"># However, taking sqrt of negative numbers is problematic; Math::Trig::asin handles it using complex</span>
+ 177 <span class="c"># numbers.</span>
+ 178 <span class="c">#</span>
+<a name="asin-"></a> 179 <span class="k">sub </span><span class="m">asin ($)</span> <span class="s">{</span>
+ 180   <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 181 
+ 182   <span class="k">return</span> <span class="i">Math::Trig::asin</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="sc">;</span>
+ 183 <span class="s">}</span>
+ 184 
+ 185 <span class="c"># Return inverse cosine of an angle expressed in radians.</span>
+ 186 <span class="c">#</span>
+ 187 <span class="c"># For a right angle triangle defined by sides X and Y in a unit circle, Pythagorean theorem implies</span>
+ 188 <span class="c"># X**2 + Y**2 = 1 and cos value corresponds to X. So asin is equivalent to atan2(sqrt(1-X**2), X)</span>
+ 189 <span class="c"># However, taking sqrt of negative numbers is problematic; Math::Trig::acos handles it using complex</span>
+ 190 <span class="c"># numbers.</span>
+ 191 <span class="c">#</span>
+<a name="acos-"></a> 192 <span class="k">sub </span><span class="m">acos ($)</span> <span class="s">{</span>
+ 193   <span class="k">my</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 194 
+ 195   <span class="k">return</span> <span class="i">Math::Trig::acos</span><span class="s">(</span><span class="i">$Value</span><span class="s">)</span><span class="sc">;</span>
+ 196 <span class="s">}</span>
+ 197 
+ 198 <span class="c"># Generate prime numbers up to a specified limit and return a reference to an</span>
+ 199 <span class="c"># array containing the prime numbers.</span>
+ 200 <span class="c">#</span>
+ 201 <span class="c"># By default, the first 1000 prime numbers are generated. The 1000th prime</span>
+ 202 <span class="c"># number is 7919 and that&#39;s why default limit is set to 7920.</span>
+ 203 <span class="c">#</span>
+<a name="GeneratePrimeNumbersUpToLimit-"></a> 204 <span class="k">sub </span><span class="m">GeneratePrimeNumbersUpToLimit (;$)</span> <span class="s">{</span>
+ 205   <span class="k">my</span><span class="s">(</span><span class="i">$Limit</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 206 
+ 207   <span class="i">$Limit</span> = <span class="k">defined</span> <span class="i">$Limit</span> ? <span class="i">$Limit</span> <span class="co">:</span> <span class="n">7920</span><span class="sc">;</span>
+ 208 
+ 209   <span class="k">return</span> <span class="i">_GeneratePrimeNumbers</span><span class="s">(</span><span class="q">&#39;ByLimit&#39;</span><span class="cm">,</span> <span class="i">$Limit</span><span class="s">)</span>
+ 210 <span class="s">}</span>
+ 211 
+ 212 <span class="c"># Generate prime numbers up to specified count of prime numbers and return a</span>
+ 213 <span class="c"># reference to an array containing the prime numbers.</span>
+ 214 <span class="c">#</span>
+ 215 <span class="c"># By default, the first 1000 prime numbers are generated. The 1000th prime</span>
+ 216 <span class="c"># number is 7919.</span>
+ 217 <span class="c">#</span>
+<a name="GeneratePrimeNumbersUpToCount-"></a> 218 <span class="k">sub </span><span class="m">GeneratePrimeNumbersUpToCount (;$)</span> <span class="s">{</span>
+ 219   <span class="k">my</span><span class="s">(</span><span class="i">$Count</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 220 
+ 221   <span class="i">$Count</span> = <span class="k">defined</span> <span class="i">$Count</span> ? <span class="i">$Count</span> <span class="co">:</span> <span class="n">1000</span><span class="sc">;</span>
+ 222 
+ 223   <span class="k">return</span> <span class="i">_GeneratePrimeNumbers</span><span class="s">(</span><span class="q">&#39;ByCount&#39;</span><span class="cm">,</span> <span class="i">$Count</span><span class="s">)</span>
+ 224 <span class="s">}</span>
+ 225 
+ 226 <span class="c"># Generate prime numbers up to specified limit or count and return a reference</span>
+ 227 <span class="c"># to an array containing the prime numbers.</span>
+ 228 <span class="c">#</span>
+ 229 <span class="c"># The algorithm to generate prime numbers is a modification of  Sieve of Erastothenes</span>
+ 230 <span class="c"># prime number generator.</span>
+ 231 <span class="c">#</span>
+<a name="_GeneratePrimeNumbers-"></a> 232 <span class="k">sub </span><span class="m">_GeneratePrimeNumbers</span> <span class="s">{</span>
+ 233   <span class="k">my</span><span class="s">(</span><span class="i">$Mode</span><span class="cm">,</span> <span class="i">$Value</span><span class="s">)</span> = <span class="i">@_</span><span class="sc">;</span>
+ 234   <span class="k">my</span><span class="s">(</span><span class="i">$ByLimit</span><span class="cm">,</span> <span class="i">$PrimeNumber</span><span class="cm">,</span> <span class="i">$Number</span><span class="cm">,</span> <span class="i">$SqrtOfNumber</span><span class="cm">,</span> <span class="i">$NumberIsPrime</span><span class="cm">,</span> <span class="i">@PrimeNumbers</span><span class="s">)</span><span class="sc">;</span>
+ 235 
+ 236   <span class="i">$ByLimit</span> = <span class="s">(</span><span class="i">$Mode</span> =~ <span class="q">/^ByLimit$/i</span><span class="s">)</span> ? <span class="n">1</span> <span class="co">:</span> <span class="n">0</span><span class="sc">;</span>
+ 237 
+ 238   <span class="i">@PrimeNumbers</span> = <span class="s">(</span><span class="n">2</span><span class="cm">,</span> <span class="n">3</span><span class="s">)</span><span class="sc">;</span>
+ 239   <span class="i">$Number</span> = <span class="n">3</span><span class="sc">;</span>
+ 240 
+ 241   <span class="c"># while ($Number &lt;= $Limit) {</span>
+ 242   <span class="k">while</span> <span class="s">(</span><span class="i">$ByLimit</span> ? <span class="s">(</span><span class="i">$Number</span> &lt; <span class="i">$Value</span><span class="s">)</span> <span class="co">:</span> <span class="s">(</span><span class="i">@PrimeNumbers</span> &lt; <span class="i">$Value</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 243     <span class="i">$Number</span> += <span class="n">2</span><span class="sc">;</span>
+ 244     <span class="i">$SqrtOfNumber</span> = <span class="k">sqrt</span> <span class="i">$Number</span><span class="sc">;</span>
+ 245 
+ 246     <span class="i">$NumberIsPrime</span> = <span class="n">1</span><span class="sc">;</span>
+ 247     <span class="j">PRIMENUMBER:</span> <span class="k">for</span> <span class="i">$PrimeNumber</span> <span class="s">(</span><span class="i">@PrimeNumbers</span><span class="s">)</span> <span class="s">{</span>
+ 248       <span class="k">if</span> <span class="s">(</span><span class="i">$PrimeNumber</span> &gt; <span class="i">$SqrtOfNumber</span><span class="s">)</span> <span class="s">{</span>
+ 249         <span class="k">last</span> <span class="j">PRIMENUMBER</span><span class="sc">;</span>
+ 250       <span class="s">}</span>
+ 251       <span class="k">if</span> <span class="s">(</span>!<span class="s">(</span><span class="i">$Number</span> % <span class="i">$PrimeNumber</span><span class="s">)</span><span class="s">)</span> <span class="s">{</span>
+ 252         <span class="i">$NumberIsPrime</span> = <span class="n">0</span><span class="sc">;</span>
+ 253         <span class="k">last</span> <span class="j">PRIMENUMBER</span><span class="sc">;</span>
+ 254       <span class="s">}</span>
+ 255     <span class="s">}</span>
+ 256     <span class="k">if</span> <span class="s">(</span><span class="i">$NumberIsPrime</span><span class="s">)</span> <span class="s">{</span>
+ 257       <span class="k">push</span> <span class="i">@PrimeNumbers</span><span class="cm">,</span> <span class="i">$Number</span><span class="sc">;</span>
+ 258     <span class="s">}</span>
+ 259   <span class="s">}</span>
+ 260   <span class="k">return</span> \<span class="i">@PrimeNumbers</span><span class="sc">;</span>
+ 261 <span class="s">}</span>
+ 262 
+<a name="EOF-"></a></pre>
+<p>&nbsp;</p>
+<br />
+<center>
+<img src="../../../images/h2o2.png">
+</center>
+</body>
+</html>