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<div class="title">krandomsequence.cpp</div> </div>
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<div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*</span>
<a name="l00002"></a>00002 <span class="comment"> This file is part of the KDE libraries</span>
<a name="l00003"></a>00003 <span class="comment"> Copyright (c) 1999 Sean Harmer <sh@astro.keele.ac.uk></span>
<a name="l00004"></a>00004 <span class="comment"></span>
<a name="l00005"></a>00005 <span class="comment"> This library is free software; you can redistribute it and/or</span>
<a name="l00006"></a>00006 <span class="comment"> modify it under the terms of the GNU Library General Public</span>
<a name="l00007"></a>00007 <span class="comment"> License as published by the Free Software Foundation; either</span>
<a name="l00008"></a>00008 <span class="comment"> version 2 of the License, or (at your option) any later version.</span>
<a name="l00009"></a>00009 <span class="comment"></span>
<a name="l00010"></a>00010 <span class="comment"> This library is distributed in the hope that it will be useful,</span>
<a name="l00011"></a>00011 <span class="comment"> but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
<a name="l00012"></a>00012 <span class="comment"> MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU</span>
<a name="l00013"></a>00013 <span class="comment"> Library General Public License for more details.</span>
<a name="l00014"></a>00014 <span class="comment"></span>
<a name="l00015"></a>00015 <span class="comment"> You should have received a copy of the GNU Library General Public License</span>
<a name="l00016"></a>00016 <span class="comment"> along with this library; see the file COPYING.LIB. If not, write to</span>
<a name="l00017"></a>00017 <span class="comment"> the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,</span>
<a name="l00018"></a>00018 <span class="comment"> Boston, MA 02110-1301, USA.</span>
<a name="l00019"></a>00019 <span class="comment">*/</span>
<a name="l00020"></a>00020
<a name="l00021"></a>00021 <span class="preprocessor">#include <qptrlist.h></span>
<a name="l00022"></a>00022
<a name="l00023"></a>00023 <span class="preprocessor">#include "krandomsequence.h"</span>
<a name="l00024"></a>00024 <span class="preprocessor">#include "kapplication.h"</span>
<a name="l00025"></a>00025
<a name="l00026"></a>00026 <span class="keyword">const</span> <span class="keywordtype">int</span> KRandomSequence::m_nShuffleTableSize = 32;
<a name="l00027"></a>00027
<a name="l00029"></a>00029 <span class="comment">// Construction / Destruction</span>
<a name="l00031"></a>00031 <span class="comment"></span>
<a name="l00032"></a><a class="code" href="classKRandomSequence.html#a274cd0e01380eb9fdfae0824463e329d">00032</a> <a class="code" href="classKRandomSequence.html#a274cd0e01380eb9fdfae0824463e329d" title="Creates a pseudo-random sequence based on the seed lngSeed.">KRandomSequence::KRandomSequence</a>( <span class="keywordtype">long</span> lngSeed1 )
<a name="l00033"></a>00033 {
<a name="l00034"></a>00034 <span class="comment">// Seed the generator</span>
<a name="l00035"></a>00035 <a class="code" href="classKRandomSequence.html#adaf852776bc951022c9cff77fbafea1a" title="Restart the sequence based on lngSeed.">setSeed</a>( lngSeed1 );
<a name="l00036"></a>00036
<a name="l00037"></a>00037
<a name="l00038"></a>00038 <span class="comment">// Set the size of the shuffle table</span>
<a name="l00039"></a>00039 m_ShuffleArray = <span class="keyword">new</span> <span class="keywordtype">long</span> [m_nShuffleTableSize];
<a name="l00040"></a>00040 }
<a name="l00041"></a>00041
<a name="l00042"></a><a class="code" href="classKRandomSequence.html#a1d4d76db08827e3b39a0564a5699da1e">00042</a> <a class="code" href="classKRandomSequence.html#a1d4d76db08827e3b39a0564a5699da1e" title="Standard destructor.">KRandomSequence::~KRandomSequence</a>()
<a name="l00043"></a>00043 {
<a name="l00044"></a>00044 <span class="keyword">delete</span> [] m_ShuffleArray;
<a name="l00045"></a>00045 }
<a name="l00046"></a>00046
<a name="l00047"></a><a class="code" href="classKRandomSequence.html#a8f0271691bcc53233396f163997d4524">00047</a> <a class="code" href="classKRandomSequence.html#a274cd0e01380eb9fdfae0824463e329d" title="Creates a pseudo-random sequence based on the seed lngSeed.">KRandomSequence::KRandomSequence</a>(<span class="keyword">const</span> <a class="code" href="classKRandomSequence.html" title="A class to create a pseudo-random sequence.">KRandomSequence</a> &a)
<a name="l00048"></a>00048 {
<a name="l00049"></a>00049 <span class="comment">// Set the size of the shuffle table</span>
<a name="l00050"></a>00050 m_ShuffleArray = <span class="keyword">new</span> <span class="keywordtype">long</span> [m_nShuffleTableSize];
<a name="l00051"></a>00051 *<span class="keyword">this</span> = a;
<a name="l00052"></a>00052 }
<a name="l00053"></a>00053
<a name="l00054"></a>00054 <a class="code" href="classKRandomSequence.html" title="A class to create a pseudo-random sequence.">KRandomSequence</a> &
<a name="l00055"></a><a class="code" href="classKRandomSequence.html#a0d8434667e8162f9c1bb4720266cc720">00055</a> <a class="code" href="classKRandomSequence.html#a0d8434667e8162f9c1bb4720266cc720" title="Assignment.">KRandomSequence::operator=</a>(<span class="keyword">const</span> <a class="code" href="classKRandomSequence.html" title="A class to create a pseudo-random sequence.">KRandomSequence</a> &a)
<a name="l00056"></a>00056 {
<a name="l00057"></a>00057 m_lngSeed1 = a.m_lngSeed1;
<a name="l00058"></a>00058 m_lngSeed2 = a.m_lngSeed2;
<a name="l00059"></a>00059 m_lngShufflePos = a.m_lngShufflePos;
<a name="l00060"></a>00060 memcpy(m_ShuffleArray, a.m_ShuffleArray, <span class="keyword">sizeof</span>(<span class="keywordtype">long</span>)*m_nShuffleTableSize);
<a name="l00061"></a>00061 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00062"></a>00062 }
<a name="l00063"></a>00063
<a name="l00064"></a>00064
<a name="l00066"></a>00066 <span class="comment">// Member Functions</span>
<a name="l00068"></a>00068 <span class="comment"></span>
<a name="l00069"></a><a class="code" href="classKRandomSequence.html#adaf852776bc951022c9cff77fbafea1a">00069</a> <span class="keywordtype">void</span> <a class="code" href="classKRandomSequence.html#adaf852776bc951022c9cff77fbafea1a" title="Restart the sequence based on lngSeed.">KRandomSequence::setSeed</a>( <span class="keywordtype">long</span> lngSeed1 )
<a name="l00070"></a>00070 {
<a name="l00071"></a>00071 <span class="comment">// Convert the positive seed number to a negative one so that the Draw()</span>
<a name="l00072"></a>00072 <span class="comment">// function can intialise itself the first time it is called. We just have</span>
<a name="l00073"></a>00073 <span class="comment">// to make sure that the seed used != 0 as zero perpetuates itself in a</span>
<a name="l00074"></a>00074 <span class="comment">// sequence of random numbers.</span>
<a name="l00075"></a>00075 <span class="keywordflow">if</span> ( lngSeed1 < 0 )
<a name="l00076"></a>00076 {
<a name="l00077"></a>00077 m_lngSeed1 = -1;
<a name="l00078"></a>00078 }
<a name="l00079"></a>00079 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (lngSeed1 == 0)
<a name="l00080"></a>00080 {
<a name="l00081"></a>00081 m_lngSeed1 = -((<a class="code" href="classKApplication.html#af4e013a839f0ca4b35121fbc35ac0719" title="Generates a uniform random number.">KApplication::random</a>() & ~1)+1);
<a name="l00082"></a>00082 }
<a name="l00083"></a>00083 <span class="keywordflow">else</span>
<a name="l00084"></a>00084 {
<a name="l00085"></a>00085 m_lngSeed1 = -lngSeed1;
<a name="l00086"></a>00086 }
<a name="l00087"></a>00087 }
<a name="l00088"></a>00088
<a name="l00089"></a>00089 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sMod1 = 2147483563;
<a name="l00090"></a>00090 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sMod2 = 2147483399;
<a name="l00091"></a>00091
<a name="l00092"></a>00092 <span class="keywordtype">void</span> KRandomSequence::Draw()
<a name="l00093"></a>00093 {
<a name="l00094"></a>00094 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sMM1 = sMod1 - 1;
<a name="l00095"></a>00095 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sA1 = 40014;
<a name="l00096"></a>00096 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sA2 = 40692;
<a name="l00097"></a>00097 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sQ1 = 53668;
<a name="l00098"></a>00098 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sQ2 = 52774;
<a name="l00099"></a>00099 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sR1 = 12211;
<a name="l00100"></a>00100 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sR2 = 3791;
<a name="l00101"></a>00101 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">long</span> sDiv = 1 + sMM1 / m_nShuffleTableSize;
<a name="l00102"></a>00102
<a name="l00103"></a>00103 <span class="comment">// Long period (>2 * 10^18) random number generator of L'Ecuyer with</span>
<a name="l00104"></a>00104 <span class="comment">// Bayes-Durham shuffle and added safeguards. Returns a uniform random</span>
<a name="l00105"></a>00105 <span class="comment">// deviate between 0.0 and 1.0 (exclusive of the endpoint values). Call</span>
<a name="l00106"></a>00106 <span class="comment">// with a negative number to initialize; thereafter, do not alter idum</span>
<a name="l00107"></a>00107 <span class="comment">// between successive deviates in a sequence. RNMX should approximate</span>
<a name="l00108"></a>00108 <span class="comment">// the largest floating point value that is less than 1.</span>
<a name="l00109"></a>00109
<a name="l00110"></a>00110 <span class="keywordtype">int</span> j; <span class="comment">// Index for the shuffle table</span>
<a name="l00111"></a>00111 <span class="keywordtype">long</span> k;
<a name="l00112"></a>00112
<a name="l00113"></a>00113 <span class="comment">// Initialise</span>
<a name="l00114"></a>00114 <span class="keywordflow">if</span> ( m_lngSeed1 <= 0 )
<a name="l00115"></a>00115 {
<a name="l00116"></a>00116 m_lngSeed2 = m_lngSeed1;
<a name="l00117"></a>00117
<a name="l00118"></a>00118 <span class="comment">// Load the shuffle table after 8 warm-ups</span>
<a name="l00119"></a>00119 <span class="keywordflow">for</span> ( j = m_nShuffleTableSize + 7; j >= 0; j-- )
<a name="l00120"></a>00120 {
<a name="l00121"></a>00121 k = m_lngSeed1 / sQ1;
<a name="l00122"></a>00122 m_lngSeed1 = sA1 * ( m_lngSeed1 - k*sQ1) - k*sR1;
<a name="l00123"></a>00123 <span class="keywordflow">if</span> ( m_lngSeed1 < 0 )
<a name="l00124"></a>00124 {
<a name="l00125"></a>00125 m_lngSeed1 += sMod1;
<a name="l00126"></a>00126 }
<a name="l00127"></a>00127
<a name="l00128"></a>00128 <span class="keywordflow">if</span> ( j < m_nShuffleTableSize )
<a name="l00129"></a>00129 {
<a name="l00130"></a>00130 m_ShuffleArray[j] = m_lngSeed1;
<a name="l00131"></a>00131 }
<a name="l00132"></a>00132 }
<a name="l00133"></a>00133
<a name="l00134"></a>00134 m_lngShufflePos = m_ShuffleArray[0];
<a name="l00135"></a>00135 }
<a name="l00136"></a>00136
<a name="l00137"></a>00137 <span class="comment">// Start here when not initializing</span>
<a name="l00138"></a>00138
<a name="l00139"></a>00139 <span class="comment">// Compute m_lngSeed1 = ( lngIA1*m_lngSeed1 ) % lngIM1 without overflows</span>
<a name="l00140"></a>00140 <span class="comment">// by Schrage's method</span>
<a name="l00141"></a>00141 k = m_lngSeed1 / sQ1;
<a name="l00142"></a>00142 m_lngSeed1 = sA1 * ( m_lngSeed1 - k*sQ1 ) - k*sR1;
<a name="l00143"></a>00143 <span class="keywordflow">if</span> ( m_lngSeed1 < 0 )
<a name="l00144"></a>00144 {
<a name="l00145"></a>00145 m_lngSeed1 += sMod1;
<a name="l00146"></a>00146 }
<a name="l00147"></a>00147
<a name="l00148"></a>00148 <span class="comment">// Compute m_lngSeed2 = ( lngIA2*m_lngSeed2 ) % lngIM2 without overflows</span>
<a name="l00149"></a>00149 <span class="comment">// by Schrage's method</span>
<a name="l00150"></a>00150 k = m_lngSeed2 / sQ2;
<a name="l00151"></a>00151 m_lngSeed2 = sA2 * ( m_lngSeed2 - k*sQ2 ) - k*sR2;
<a name="l00152"></a>00152 <span class="keywordflow">if</span> ( m_lngSeed2 < 0 )
<a name="l00153"></a>00153 {
<a name="l00154"></a>00154 m_lngSeed2 += sMod2;
<a name="l00155"></a>00155 }
<a name="l00156"></a>00156
<a name="l00157"></a>00157 j = m_lngShufflePos / sDiv;
<a name="l00158"></a>00158 m_lngShufflePos = m_ShuffleArray[j] - m_lngSeed2;
<a name="l00159"></a>00159 m_ShuffleArray[j] = m_lngSeed1;
<a name="l00160"></a>00160
<a name="l00161"></a>00161 <span class="keywordflow">if</span> ( m_lngShufflePos < 1 )
<a name="l00162"></a>00162 {
<a name="l00163"></a>00163 m_lngShufflePos += sMM1;
<a name="l00164"></a>00164 }
<a name="l00165"></a>00165 }
<a name="l00166"></a>00166
<a name="l00167"></a>00167 <span class="keywordtype">void</span>
<a name="l00168"></a><a class="code" href="classKRandomSequence.html#a7c05df1c56887ad233f1c677d09836c5">00168</a> <a class="code" href="classKRandomSequence.html#a7c05df1c56887ad233f1c677d09836c5" title="Modulate the random sequence.">KRandomSequence::modulate</a>(<span class="keywordtype">int</span> i)
<a name="l00169"></a>00169 {
<a name="l00170"></a>00170 m_lngSeed2 -= i;
<a name="l00171"></a>00171 <span class="keywordflow">if</span> ( m_lngSeed2 < 0 )
<a name="l00172"></a>00172 {
<a name="l00173"></a>00173 m_lngShufflePos += sMod2;
<a name="l00174"></a>00174 }
<a name="l00175"></a>00175 Draw();
<a name="l00176"></a>00176 m_lngSeed1 -= i;
<a name="l00177"></a>00177 <span class="keywordflow">if</span> ( m_lngSeed1 < 0 )
<a name="l00178"></a>00178 {
<a name="l00179"></a>00179 m_lngSeed1 += sMod1;
<a name="l00180"></a>00180 }
<a name="l00181"></a>00181 Draw();
<a name="l00182"></a>00182 }
<a name="l00183"></a>00183
<a name="l00184"></a>00184 <span class="keywordtype">double</span>
<a name="l00185"></a><a class="code" href="classKRandomSequence.html#a7942e764b28120fca4fc9de2a314eac5">00185</a> <a class="code" href="classKRandomSequence.html#a7942e764b28120fca4fc9de2a314eac5" title="Get the next number from the pseudo-random sequence.">KRandomSequence::getDouble</a>()
<a name="l00186"></a>00186 {
<a name="l00187"></a>00187 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> finalAmp = 1.0 / double( sMod1 );
<a name="l00188"></a>00188 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> epsilon = 1.2E-7;
<a name="l00189"></a>00189 <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> maxRand = 1.0 - epsilon;
<a name="l00190"></a>00190 <span class="keywordtype">double</span> temp;
<a name="l00191"></a>00191 Draw();
<a name="l00192"></a>00192 <span class="comment">// Return a value that is not one of the endpoints</span>
<a name="l00193"></a>00193 <span class="keywordflow">if</span> ( ( temp = finalAmp * m_lngShufflePos ) > maxRand )
<a name="l00194"></a>00194 {
<a name="l00195"></a>00195 <span class="comment">// We don't want to return 1.0</span>
<a name="l00196"></a>00196 <span class="keywordflow">return</span> maxRand;
<a name="l00197"></a>00197 }
<a name="l00198"></a>00198 <span class="keywordflow">else</span>
<a name="l00199"></a>00199 {
<a name="l00200"></a>00200 <span class="keywordflow">return</span> temp;
<a name="l00201"></a>00201 }
<a name="l00202"></a>00202 }
<a name="l00203"></a>00203
<a name="l00204"></a>00204 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>
<a name="l00205"></a><a class="code" href="classKRandomSequence.html#a2d328a9bdcf05e1394b4a8c6bd82462f">00205</a> <a class="code" href="classKRandomSequence.html#a2d328a9bdcf05e1394b4a8c6bd82462f" title="Get the next number from the pseudo-random sequence.">KRandomSequence::getLong</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> max)
<a name="l00206"></a>00206 {
<a name="l00207"></a>00207 Draw();
<a name="l00208"></a>00208
<a name="l00209"></a>00209 <span class="keywordflow">return</span> max ? (((<span class="keywordtype">unsigned</span> long) m_lngShufflePos) % max) : 0;
<a name="l00210"></a>00210 }
<a name="l00211"></a>00211
<a name="l00212"></a>00212 <span class="keywordtype">bool</span>
<a name="l00213"></a><a class="code" href="classKRandomSequence.html#ae304e60895f39b698719aa00ed365dea">00213</a> <a class="code" href="classKRandomSequence.html#ae304e60895f39b698719aa00ed365dea" title="Get a boolean from the pseudo-random sequence.">KRandomSequence::getBool</a>()
<a name="l00214"></a>00214 {
<a name="l00215"></a>00215 Draw();
<a name="l00216"></a>00216
<a name="l00217"></a>00217 <span class="keywordflow">return</span> (((<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>) m_lngShufflePos) & 1);
<a name="l00218"></a>00218 }
<a name="l00219"></a>00219
<a name="l00220"></a>00220 <span class="keyword">class </span>KRandomSequenceList : <span class="keyword">public</span> QGList
<a name="l00221"></a>00221 {
<a name="l00222"></a>00222 <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="classKRandomSequence.html" title="A class to create a pseudo-random sequence.">KRandomSequence</a>;
<a name="l00223"></a>00223 <span class="keyword">public</span>:
<a name="l00224"></a>00224 KRandomSequenceList() : QGList() { }
<a name="l00225"></a>00225 <span class="keyword">virtual</span> <span class="keywordtype">void</span> deleteItem( <a class="codeRef" href="qptrcollection.html#Item">QPtrCollection::Item</a> ) {}
<a name="l00226"></a>00226 };
<a name="l00227"></a>00227
<a name="l00228"></a>00228 <span class="keywordtype">void</span>
<a name="l00229"></a><a class="code" href="classKRandomSequence.html#ad4f56aa4a9479deedd877f7d7ac8461d">00229</a> <a class="code" href="classKRandomSequence.html#ad4f56aa4a9479deedd877f7d7ac8461d" title="Put a list in random order.">KRandomSequence::randomize</a>(QGList *_list)
<a name="l00230"></a>00230 {
<a name="l00231"></a>00231 KRandomSequenceList *list = (KRandomSequenceList *)_list;
<a name="l00232"></a>00232 KRandomSequenceList l;
<a name="l00233"></a>00233 <span class="keywordflow">while</span>(list->count())
<a name="l00234"></a>00234 l.append(list->takeFirst());
<a name="l00235"></a>00235
<a name="l00236"></a>00236 list->append(l.takeFirst()); <span class="comment">// Start with 1</span>
<a name="l00237"></a>00237 <span class="keywordflow">while</span>(l.count())
<a name="l00238"></a>00238 list->insertAt(<a class="code" href="classKRandomSequence.html#a2d328a9bdcf05e1394b4a8c6bd82462f" title="Get the next number from the pseudo-random sequence.">getLong</a>(list->count()+1), l.takeFirst());
<a name="l00239"></a>00239 }
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