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<div class="title">rational-native.cpp</div> </div>
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<a href="rational-native_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">/*****************************************************************************/</span><span class="comment"></span>
<a name="l00002"></a>00002 <span class="comment">/*!</span>
<a name="l00003"></a>00003 <span class="comment"> * \file rational-native.cpp</span>
<a name="l00004"></a>00004 <span class="comment"> *</span>
<a name="l00005"></a>00005 <span class="comment"> * \brief Implementation of class Rational using native (bounded</span>
<a name="l00006"></a>00006 <span class="comment"> * precision) computer arithmetic</span>
<a name="l00007"></a>00007 <span class="comment"> *</span>
<a name="l00008"></a>00008 <span class="comment"> * Author: Sergey Berezin</span>
<a name="l00009"></a>00009 <span class="comment"> *</span>
<a name="l00010"></a>00010 <span class="comment"> * Created: Mon Jul 28 12:18:03 2003</span>
<a name="l00011"></a>00011 <span class="comment"> *</span>
<a name="l00012"></a>00012 <span class="comment"> * <hr></span>
<a name="l00013"></a>00013 <span class="comment"> * License to use, copy, modify, sell and/or distribute this software</span>
<a name="l00014"></a>00014 <span class="comment"> * and its documentation for any purpose is hereby granted without</span>
<a name="l00015"></a>00015 <span class="comment"> * royalty, subject to the terms and conditions defined in the \ref</span>
<a name="l00016"></a>00016 <span class="comment"> * LICENSE file provided with this distribution.</span>
<a name="l00017"></a>00017 <span class="comment"> *</span>
<a name="l00018"></a>00018 <span class="comment"> * <hr></span>
<a name="l00019"></a>00019 <span class="comment"> *</span>
<a name="l00020"></a>00020 <span class="comment"> */</span>
<a name="l00021"></a>00021 <span class="comment">/*****************************************************************************/</span>
<a name="l00022"></a>00022
<a name="l00023"></a>00023 <span class="preprocessor">#ifdef RATIONAL_NATIVE</span>
<a name="l00024"></a>00024 <span class="preprocessor"></span>
<a name="l00025"></a>00025 <span class="preprocessor">#include "<a class="code" href="compat__hash__set_8h.html">compat_hash_set.h</a>"</span>
<a name="l00026"></a>00026 <span class="preprocessor">#include "<a class="code" href="rational_8h.html">rational.h</a>"</span>
<a name="l00027"></a>00027 <span class="comment">// For atol() (ASCII to long)</span>
<a name="l00028"></a>00028 <span class="preprocessor">#include <stdlib.h></span>
<a name="l00029"></a>00029 <span class="preprocessor">#include <limits.h></span>
<a name="l00030"></a>00030 <span class="preprocessor">#include <errno.h></span>
<a name="l00031"></a>00031 <span class="preprocessor">#include <sstream></span>
<a name="l00032"></a>00032 <span class="preprocessor">#include <math.h></span>
<a name="l00033"></a>00033
<a name="l00034"></a>00034 <span class="preprocessor">#define OVERFLOW_MSG "\nThis is NOT a bug, but an explicit feature to preserve soundness\nwhen CVC3 uses native computer arithmetic (finite precision). To\navoid these types of errors, please recompile CVC3 with GMP library."</span>
<a name="l00035"></a>00035 <span class="preprocessor"></span>
<a name="l00036"></a>00036 <span class="keyword">namespace </span>CVC3 {
<a name="l00037"></a>00037
<a name="l00038"></a>00038 <span class="keyword">using namespace </span>std;
<a name="l00039"></a>00039 <span class="comment"></span>
<a name="l00040"></a>00040 <span class="comment"> //! Add two integers and check for overflows</span>
<a name="l00041"></a>00041 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> plus(<span class="keywordtype">long</span> <span class="keywordtype">int</span> x, <span class="keywordtype">long</span> <span class="keywordtype">int</span> y) {
<a name="l00042"></a>00042 <span class="keywordtype">long</span> <span class="keywordtype">int</span> res = x+y;
<a name="l00043"></a>00043 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(((x > 0) != (y > 0)) || ((x > 0) == (res > 0)),
<a name="l00044"></a>00044 <span class="stringliteral">"plus(x,y): arithmetic overflow"</span> OVERFLOW_MSG);
<a name="l00045"></a>00045 <span class="keywordflow">return</span> res;
<a name="l00046"></a>00046 }
<a name="l00047"></a>00047 <span class="comment"></span>
<a name="l00048"></a>00048 <span class="comment"> //! Add two integers and check for overflows</span>
<a name="l00049"></a>00049 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> uplus(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> x, <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> y) {
<a name="l00050"></a>00050 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> res = x+y;
<a name="l00051"></a>00051 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(res >= x && res >= y,
<a name="l00052"></a>00052 <span class="stringliteral">"uplus(x,y): arithmetic overflow"</span> OVERFLOW_MSG);
<a name="l00053"></a>00053 <span class="keywordflow">return</span> res;
<a name="l00054"></a>00054 }
<a name="l00055"></a>00055 <span class="comment"></span>
<a name="l00056"></a>00056 <span class="comment"> //! Subtract two unsigned integers and check for overflows</span>
<a name="l00057"></a>00057 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> unsigned_minus(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> x, <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> y) {
<a name="l00058"></a>00058 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> res = x-y;
<a name="l00059"></a>00059 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(res <= x,
<a name="l00060"></a>00060 <span class="stringliteral">"unsigned_minus(x,y): arithmetic overflow"</span> OVERFLOW_MSG);
<a name="l00061"></a>00061 <span class="keywordflow">return</span> res;
<a name="l00062"></a>00062 }
<a name="l00063"></a>00063 <span class="comment"></span>
<a name="l00064"></a>00064 <span class="comment"> //! Multiply two unsigned integers and check for overflows</span>
<a name="l00065"></a>00065 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> umult(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> x, <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> y) {
<a name="l00066"></a>00066 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> res = x*y;
<a name="l00067"></a>00067 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(res == 0 || res/x == y,
<a name="l00068"></a>00068 <span class="stringliteral">"umult(x,y): arithmetic overflow"</span> OVERFLOW_MSG);
<a name="l00069"></a>00069 <span class="keywordflow">return</span> res;
<a name="l00070"></a>00070 }
<a name="l00071"></a>00071 <span class="comment"></span>
<a name="l00072"></a>00072 <span class="comment"> //! Shift two unsigned integers and check for overflow</span>
<a name="l00073"></a>00073 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> ushift(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> x, <span class="keywordtype">unsigned</span> y) {
<a name="l00074"></a>00074 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(y < (<span class="keywordtype">unsigned</span>)numeric_limits<unsigned long>::digits,
<a name="l00075"></a>00075 <span class="stringliteral">"ushift(x,y): arithmetic overflow"</span> OVERFLOW_MSG);
<a name="l00076"></a>00076 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> res = (x << y);
<a name="l00077"></a>00077 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>((res >> y) == x,
<a name="l00078"></a>00078 <span class="stringliteral">"ushift(x,y): arithmetic overflow"</span> OVERFLOW_MSG);
<a name="l00079"></a>00079 <span class="keywordflow">return</span> res;
<a name="l00080"></a>00080 }
<a name="l00081"></a>00081 <span class="comment"></span>
<a name="l00082"></a>00082 <span class="comment"> //! Compute GCD using Euclid's algorithm (from Aaron Stump's code)</span>
<a name="l00083"></a>00083 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> ugcd(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n1, <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n2) {
<a name="l00084"></a>00084 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(n1!=0 && n2!=0,
<a name="l00085"></a>00085 <span class="stringliteral">"gcd("</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(n1)+<span class="stringliteral">", "</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(n2)+<span class="stringliteral">"): bad args"</span>);
<a name="l00086"></a>00086 <span class="keywordflow">if</span> (n1 < n2) {
<a name="l00087"></a>00087 <span class="keywordtype">long</span> <span class="keywordtype">int</span> tmp = n1;
<a name="l00088"></a>00088 n1 = n2;
<a name="l00089"></a>00089 n2 = tmp;
<a name="l00090"></a>00090 }
<a name="l00091"></a>00091
<a name="l00092"></a>00092 <span class="comment">// at this point, n1 >= n2</span>
<a name="l00093"></a>00093 <span class="keywordtype">long</span> <span class="keywordtype">int</span> r = n1 % n2;
<a name="l00094"></a>00094 <span class="keywordflow">if</span> (!r)
<a name="l00095"></a>00095 <span class="keywordflow">return</span> n2;
<a name="l00096"></a>00096
<a name="l00097"></a>00097 <span class="keywordflow">return</span> ugcd(n2, r);
<a name="l00098"></a>00098 }
<a name="l00099"></a>00099 <span class="comment"></span>
<a name="l00100"></a>00100 <span class="comment"> //! Unary minus which checks for overflows</span>
<a name="l00101"></a>00101 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> uminus(<span class="keywordtype">long</span> <span class="keywordtype">int</span> x) {
<a name="l00102"></a>00102 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(x == 0 || x != -x, <span class="stringliteral">"uminus(x): arithmetic overflow"</span>
<a name="l00103"></a>00103 OVERFLOW_MSG);
<a name="l00104"></a>00104 <span class="keywordflow">return</span> -x;
<a name="l00105"></a>00105 }
<a name="l00106"></a>00106 <span class="comment"></span>
<a name="l00107"></a>00107 <span class="comment"> //! Multiply two integers and check for overflows</span>
<a name="l00108"></a>00108 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> mult(<span class="keywordtype">long</span> <span class="keywordtype">int</span> x, <span class="keywordtype">long</span> <span class="keywordtype">int</span> y) {
<a name="l00109"></a>00109 <span class="keywordtype">long</span> <span class="keywordtype">int</span> res = x*y;
<a name="l00110"></a>00110 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(x==0 || res/x == y, <span class="stringliteral">"mult(x,y): arithmetic overflow"</span>
<a name="l00111"></a>00111 OVERFLOW_MSG);
<a name="l00112"></a>00112 <span class="keywordflow">return</span> res;
<a name="l00113"></a>00113 }
<a name="l00114"></a>00114 <span class="comment"></span>
<a name="l00115"></a>00115 <span class="comment"> //! Compute GCD using Euclid's algorithm (from Aaron Stump's code)</span>
<a name="l00116"></a>00116 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> gcd(<span class="keywordtype">long</span> <span class="keywordtype">int</span> n1, <span class="keywordtype">long</span> <span class="keywordtype">int</span> n2) {
<a name="l00117"></a>00117 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(n1!=0 && n2!=0,
<a name="l00118"></a>00118 <span class="stringliteral">"gcd("</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(n1)+<span class="stringliteral">", "</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(n2)+<span class="stringliteral">"): bad args"</span>);
<a name="l00119"></a>00119 <span class="comment">// First, make the arguments positive</span>
<a name="l00120"></a>00120 <span class="keywordflow">if</span>(n1 < 0) n1 = uminus(n1);
<a name="l00121"></a>00121 <span class="keywordflow">if</span>(n2 < 0) n2 = uminus(n2);
<a name="l00122"></a>00122
<a name="l00123"></a>00123 <span class="keywordflow">if</span> (n1 < n2) {
<a name="l00124"></a>00124 <span class="keywordtype">long</span> <span class="keywordtype">int</span> tmp = n1;
<a name="l00125"></a>00125 n1 = n2;
<a name="l00126"></a>00126 n2 = tmp;
<a name="l00127"></a>00127 }
<a name="l00128"></a>00128
<a name="l00129"></a>00129 <span class="comment">// at this point, n1 >= n2</span>
<a name="l00130"></a>00130 <span class="keywordtype">long</span> <span class="keywordtype">int</span> r = n1 % n2;
<a name="l00131"></a>00131 <span class="keywordflow">if</span> (!r)
<a name="l00132"></a>00132 <span class="keywordflow">return</span> n2;
<a name="l00133"></a>00133
<a name="l00134"></a>00134 <span class="keywordflow">return</span> gcd(n2, r);
<a name="l00135"></a>00135 }
<a name="l00136"></a>00136 <span class="comment"></span>
<a name="l00137"></a>00137 <span class="comment"> //! Compute LCM</span>
<a name="l00138"></a>00138 <span class="comment"></span> <span class="keyword">static</span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> lcm(<span class="keywordtype">long</span> <span class="keywordtype">int</span> n1, <span class="keywordtype">long</span> <span class="keywordtype">int</span> n2) {
<a name="l00139"></a>00139 <span class="keywordtype">long</span> <span class="keywordtype">int</span> g = gcd(n1,n2);
<a name="l00140"></a>00140 <span class="keywordflow">return</span> mult(n1/g, n2);
<a name="l00141"></a>00141 }
<a name="l00142"></a>00142
<a name="l00143"></a>00143 <span class="keyword">static</span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> ulcm(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n1, <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n2) {
<a name="l00144"></a>00144 <span class="keywordtype">long</span> <span class="keywordtype">int</span> g = ugcd(n1,n2);
<a name="l00145"></a>00145 <span class="keywordflow">return</span> umult(n1/g, n2);
<a name="l00146"></a>00146 }
<a name="l00147"></a>00147
<a name="l00148"></a>00148 <span class="comment">// Implementation of the forward-declared internal class</span>
<a name="l00149"></a>00149 <span class="keyword">class </span>Rational::Impl {
<a name="l00150"></a>00150 <span class="keywordtype">long</span> <span class="keywordtype">int</span> d_num; <span class="comment">//!< Numerator</span>
<a name="l00151"></a>00151 <span class="comment"></span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> d_denom; <span class="comment">//!< Denominator</span>
<a name="l00152"></a>00152 <span class="comment"></span><span class="comment"> //! Make the rational number canonical</span>
<a name="l00153"></a>00153 <span class="comment"></span> <span class="keywordtype">void</span> canonicalize();
<a name="l00154"></a>00154 <span class="keyword">public</span>:<span class="comment"></span>
<a name="l00155"></a>00155 <span class="comment"> //! Default Constructor</span>
<a name="l00156"></a>00156 <span class="comment"></span> Impl(): d_num(0), d_denom(1) { }<span class="comment"></span>
<a name="l00157"></a>00157 <span class="comment"> //! Copy constructor</span>
<a name="l00158"></a>00158 <span class="comment"></span> Impl(<span class="keyword">const</span> Impl &x) : d_num(x.d_num), d_denom(x.d_denom) { }<span class="comment"></span>
<a name="l00159"></a>00159 <span class="comment"> //! Constructor from unsigned long</span>
<a name="l00160"></a>00160 <span class="comment"></span> Impl(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n) :d_num(n), d_denom(1) {
<a name="l00161"></a>00161 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(d_num >= 0, <span class="stringliteral">"Rational::Impl(unsigned long) - arithmetic overflow"</span>);
<a name="l00162"></a>00162 }<span class="comment"></span>
<a name="l00163"></a>00163 <span class="comment"> //! Constructor from a pair of integers</span>
<a name="l00164"></a>00164 <span class="comment"></span> Impl(<span class="keywordtype">long</span> <span class="keywordtype">int</span> n, <span class="keywordtype">long</span> <span class="keywordtype">int</span> d): d_num(n), d_denom(d) { canonicalize(); }<span class="comment"></span>
<a name="l00165"></a>00165 <span class="comment"> //! Constructor from a string</span>
<a name="l00166"></a>00166 <span class="comment"></span> Impl(<span class="keyword">const</span> <span class="keywordtype">string</span> &n, <span class="keywordtype">int</span> base);<span class="comment"></span>
<a name="l00167"></a>00167 <span class="comment"> //! Constructor from a pair of strings</span>
<a name="l00168"></a>00168 <span class="comment"></span> Impl(<span class="keyword">const</span> <span class="keywordtype">string</span> &n, <span class="keyword">const</span> <span class="keywordtype">string</span>& d, <span class="keywordtype">int</span> base);
<a name="l00169"></a>00169 <span class="comment">// Destructor</span>
<a name="l00170"></a>00170 <span class="keyword">virtual</span> ~Impl() { }<span class="comment"></span>
<a name="l00171"></a>00171 <span class="comment"> //! Get numerator</span>
<a name="l00172"></a>00172 <span class="comment"></span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> getNum()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> d_num; }<span class="comment"></span>
<a name="l00173"></a>00173 <span class="comment"> //! Get denominator</span>
<a name="l00174"></a>00174 <span class="comment"></span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> getDen()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> d_denom; }
<a name="l00175"></a>00175 <span class="comment"></span>
<a name="l00176"></a>00176 <span class="comment"> //! Unary minus</span>
<a name="l00177"></a>00177 <span class="comment"></span> Impl <a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">operator-</a>() <span class="keyword">const</span>;
<a name="l00178"></a>00178 <span class="comment"></span>
<a name="l00179"></a>00179 <span class="comment"> //! Equality</span>
<a name="l00180"></a>00180 <span class="comment"></span> <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a8e164436388f2d87c971d9bbde973c58">operator==</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00181"></a>00181 <span class="keywordflow">return</span> (x.d_num == y.d_num && x.d_denom == y.d_denom);
<a name="l00182"></a>00182 }<span class="comment"></span>
<a name="l00183"></a>00183 <span class="comment"> //! Dis-equality</span>
<a name="l00184"></a>00184 <span class="comment"></span> <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a5aa953c549c2e103f3834c48bf6cb9a1">operator!=</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00185"></a>00185 <span class="keywordflow">return</span> (x.d_num != y.d_num || x.d_denom != y.d_denom);
<a name="l00186"></a>00186 }<span class="comment"></span>
<a name="l00187"></a>00187 <span class="comment"> /*!</span>
<a name="l00188"></a>00188 <span class="comment"> * Compare x=n1/d1 and y=n2/d2 as n1*f2 < n2*f1, where f1=d1/f,</span>
<a name="l00189"></a>00189 <span class="comment"> * f2=d2/f, and f=lcm(d1,d2)</span>
<a name="l00190"></a>00190 <span class="comment"> */</span>
<a name="l00191"></a>00191 <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#ad3e3964a0b8cd9e2749de47b053b9d97">operator<</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00192"></a>00192 Impl diff(x-y);
<a name="l00193"></a>00193 <span class="keywordflow">return</span> diff.d_num < 0;
<a name="l00194"></a>00194 }
<a name="l00195"></a>00195
<a name="l00196"></a>00196 <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#abccc88aac4f7652def737f1081dc7a89">operator<=</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00197"></a>00197 <span class="keywordflow">return</span> (x == y || x < y);
<a name="l00198"></a>00198 }
<a name="l00199"></a>00199
<a name="l00200"></a>00200 <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a0d82fd3eb68860cbd01ae86b2b9e3c66">operator></a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00201"></a>00201 Impl diff(x-y);
<a name="l00202"></a>00202 <span class="keywordflow">return</span> diff.d_num > 0;
<a name="l00203"></a>00203 }
<a name="l00204"></a>00204
<a name="l00205"></a>00205 <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#af997ba8407b661bf2ffe2cb6f52c3e3b">operator>=</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00206"></a>00206 <span class="keywordflow">return</span> (x == y || x > y);
<a name="l00207"></a>00207 }
<a name="l00208"></a>00208 <span class="comment"></span>
<a name="l00209"></a>00209 <span class="comment"> /*! Addition of x=n1/d1 and y=n2/d2: n1*g2 + n2*g1, where g1=d1/g,</span>
<a name="l00210"></a>00210 <span class="comment"> * g2=d2/g, and g=lcm(d1,d2)</span>
<a name="l00211"></a>00211 <span class="comment"> */</span>
<a name="l00212"></a>00212 <span class="keyword">friend</span> Impl <a class="code" href="namespaceCVC3.html#a286cf8699acada708816e72c6b436b90">operator+</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00213"></a>00213 <span class="keywordtype">long</span> <span class="keywordtype">int</span> d1(x.getDen()), d2(y.getDen());
<a name="l00214"></a>00214 <span class="keywordtype">long</span> <span class="keywordtype">int</span> f(lcm(d1,d2)), f1(f/d1), f2(f/d2);
<a name="l00215"></a>00215 <span class="keywordtype">long</span> <span class="keywordtype">int</span> n = plus(mult(x.getNum(), f1), mult(y.getNum(), f2));
<a name="l00216"></a>00216 <span class="keywordflow">return</span> Impl(n, f);
<a name="l00217"></a>00217 }
<a name="l00218"></a>00218
<a name="l00219"></a>00219 <span class="keyword">friend</span> Impl <a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">operator-</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00220"></a>00220 <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"rational"</span>, <span class="stringliteral">"operator-("</span>, x, <span class="stringliteral">", "</span>+y.toString()+<span class="stringliteral">")"</span>);
<a name="l00221"></a>00221 <span class="keywordtype">long</span> <span class="keywordtype">int</span> d1(x.getDen()), d2(y.getDen());
<a name="l00222"></a>00222 <span class="keywordtype">long</span> <span class="keywordtype">int</span> f(lcm(d1,d2)), f1(f/d1), f2(f/d2);
<a name="l00223"></a>00223 <span class="keywordtype">long</span> <span class="keywordtype">int</span> n = plus(mult(x.getNum(), f1), uminus(mult(y.getNum(), f2)));
<a name="l00224"></a>00224 Impl res(n, f);
<a name="l00225"></a>00225 <a class="code" href="kinds_8h.html#aa10c9e8951b8ccf714a59ec321bdac5ba7fa27e82c6c4f69434225ed81e5d151e">TRACE</a>(<span class="stringliteral">"rational"</span>, <span class="stringliteral">" => "</span>, res, <span class="stringliteral">""</span>);
<a name="l00226"></a>00226 <span class="keywordflow">return</span> res;
<a name="l00227"></a>00227 }
<a name="l00228"></a>00228 <span class="comment"></span>
<a name="l00229"></a>00229 <span class="comment"> /*!</span>
<a name="l00230"></a>00230 <span class="comment"> * Multiplication of x=n1/d1, y=n2/d2:</span>
<a name="l00231"></a>00231 <span class="comment"> * (n1/g1)*(n2/g2)/(d1/g2)*(d2/g1), where g1=gcd(n1,d2) and</span>
<a name="l00232"></a>00232 <span class="comment"> * g2=gcd(n2,d1)</span>
<a name="l00233"></a>00233 <span class="comment"> */</span>
<a name="l00234"></a>00234 <span class="keyword">friend</span> Impl <a class="code" href="namespaceCVC3.html#a300bc9244236ebdb1bff90b0b453034c">operator*</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00235"></a>00235 <span class="keywordtype">long</span> <span class="keywordtype">int</span> n1(x.getNum()), d1(x.getDen()), n2(y.getNum()), d2(y.getDen());
<a name="l00236"></a>00236 <span class="keywordtype">long</span> <span class="keywordtype">int</span> g1(n1? gcd(n1,d2) : 1), g2(n2? gcd(n2,d1) : 1);
<a name="l00237"></a>00237 <span class="keywordtype">long</span> <span class="keywordtype">int</span> n(mult(n1/g1, n2/g2)), d(mult(d1/g2, d2/g1));
<a name="l00238"></a>00238 <span class="keywordflow">return</span> Impl(n,d);
<a name="l00239"></a>00239 }
<a name="l00240"></a>00240 <span class="comment"></span>
<a name="l00241"></a>00241 <span class="comment"> /*!</span>
<a name="l00242"></a>00242 <span class="comment"> * Division of x=n1/d1, y=n2/d2:</span>
<a name="l00243"></a>00243 <span class="comment"> * (n1/g1)*(d2/g2)/(d1/g2)*(n2/g1), where g1=gcd(n1,n2) and</span>
<a name="l00244"></a>00244 <span class="comment"> * g2=gcd(d1,d2)</span>
<a name="l00245"></a>00245 <span class="comment"> */</span>
<a name="l00246"></a>00246 <span class="keyword">friend</span> Impl <a class="code" href="namespaceCVC3.html#a069aa16342bb9958a3d576a18a390248">operator/</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00247"></a>00247 <span class="keywordtype">long</span> <span class="keywordtype">int</span> n1(x.getNum()), d1(x.getDen()), n2(y.getNum()), d2(y.getDen());
<a name="l00248"></a>00248 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(n2 != 0, <span class="stringliteral">"Impl::operator/: divisor is 0"</span>);
<a name="l00249"></a>00249 <span class="keywordtype">long</span> <span class="keywordtype">int</span> g1(n1? gcd(n1,n2) : 1), g2(gcd(d1,d2));
<a name="l00250"></a>00250 <span class="keywordtype">long</span> <span class="keywordtype">int</span> n(n1? mult(n1/g1, d2/g2) : 0), d(n1? mult(d1/g2, n2/g1) : 1);
<a name="l00251"></a>00251 <span class="keywordflow">return</span> Impl(n,d);
<a name="l00252"></a>00252 }
<a name="l00253"></a>00253
<a name="l00254"></a>00254 <span class="keyword">friend</span> Impl operator%(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00255"></a>00255 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(x.getDen() == 1 && y.getDen() == 1,
<a name="l00256"></a>00256 <span class="stringliteral">"Impl % Impl: x and y must be integers"</span>);
<a name="l00257"></a>00257 <span class="keywordflow">return</span> Impl(x.getNum() % y.getNum(), 1);
<a name="l00258"></a>00258 }
<a name="l00259"></a>00259 <span class="comment"></span>
<a name="l00260"></a>00260 <span class="comment"> //! Print to string</span>
<a name="l00261"></a>00261 <span class="comment"></span> <span class="keywordtype">string</span> toString(<span class="keywordtype">int</span> base = 10)<span class="keyword"> const </span>{
<a name="l00262"></a>00262 ostringstream ss;
<a name="l00263"></a>00263 <span class="keywordflow">if</span> (d_num == 0) ss << <span class="stringliteral">"0"</span>;
<a name="l00264"></a>00264 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (base == 10) {
<a name="l00265"></a>00265 ss << d_num;
<a name="l00266"></a>00266 <span class="keywordflow">if</span> (d_denom != 1)
<a name="l00267"></a>00267 ss << <span class="stringliteral">"/"</span> << d_denom;
<a name="l00268"></a>00268 }
<a name="l00269"></a>00269 <span class="keywordflow">else</span> {
<a name="l00270"></a>00270 vector<int> vec;
<a name="l00271"></a>00271 <span class="keywordtype">long</span> num = d_num;
<a name="l00272"></a>00272 <span class="keywordflow">while</span> (num) {
<a name="l00273"></a>00273 vec.push_back(num % base);
<a name="l00274"></a>00274 num = num / base;
<a name="l00275"></a>00275 }
<a name="l00276"></a>00276 <span class="keywordflow">while</span> (!vec.empty()) {
<a name="l00277"></a>00277 <span class="keywordflow">if</span> (base > 10 && vec.back() > 10) {
<a name="l00278"></a>00278 ss << (char)(<span class="charliteral">'A'</span> + (vec.back()-10));
<a name="l00279"></a>00279 }
<a name="l00280"></a>00280 <span class="keywordflow">else</span> ss << vec.back();
<a name="l00281"></a>00281 vec.pop_back();
<a name="l00282"></a>00282 }
<a name="l00283"></a>00283 <span class="keywordflow">if</span>(d_denom != 1) {
<a name="l00284"></a>00284 ss << <span class="stringliteral">"/"</span>;
<a name="l00285"></a>00285 <span class="keywordflow">if</span> (d_denom == 0) ss << <span class="stringliteral">"0"</span>;
<a name="l00286"></a>00286 <span class="keywordflow">else</span> {
<a name="l00287"></a>00287 num = d_denom;
<a name="l00288"></a>00288 <span class="keywordflow">while</span> (num) {
<a name="l00289"></a>00289 vec.push_back(num % base);
<a name="l00290"></a>00290 num = num / base;
<a name="l00291"></a>00291 }
<a name="l00292"></a>00292 <span class="keywordflow">while</span> (!vec.empty()) {
<a name="l00293"></a>00293 <span class="keywordflow">if</span> (base > 10 && vec.back() > 10) {
<a name="l00294"></a>00294 ss << (char)(<span class="charliteral">'A'</span> + (vec.back()-10));
<a name="l00295"></a>00295 }
<a name="l00296"></a>00296 <span class="keywordflow">else</span> ss << vec.back();
<a name="l00297"></a>00297 vec.pop_back();
<a name="l00298"></a>00298 }
<a name="l00299"></a>00299 }
<a name="l00300"></a>00300 }
<a name="l00301"></a>00301 }
<a name="l00302"></a>00302 <span class="keywordflow">return</span>(ss.str());
<a name="l00303"></a>00303 }
<a name="l00304"></a>00304 <span class="comment"></span>
<a name="l00305"></a>00305 <span class="comment"> //! Printing to ostream</span>
<a name="l00306"></a>00306 <span class="comment"></span> <span class="keyword">friend</span> ostream& <a class="code" href="namespaceCVC3.html#a6b7e38d3c97da1e91e12a6c9555b8163">operator<<</a>(ostream& os, <span class="keyword">const</span> Rational::Impl& n) {
<a name="l00307"></a>00307 <span class="keywordflow">return</span> os << n.toString();
<a name="l00308"></a>00308 }
<a name="l00309"></a>00309
<a name="l00310"></a>00310 };
<a name="l00311"></a>00311
<a name="l00312"></a>00312 <span class="comment">// Make the rational number canonical</span>
<a name="l00313"></a>00313 <span class="keywordtype">void</span> Rational::Impl::canonicalize() {
<a name="l00314"></a>00314 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(d_denom != 0,
<a name="l00315"></a>00315 <span class="stringliteral">"Rational::Impl::canonicalize: bad denominator: "</span>
<a name="l00316"></a>00316 +<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(d_denom));
<a name="l00317"></a>00317 <span class="keywordflow">if</span>(d_num == 0) {
<a name="l00318"></a>00318 d_denom = 1;
<a name="l00319"></a>00319 } <span class="keywordflow">else</span> {
<a name="l00320"></a>00320 <span class="keywordflow">if</span>(d_denom < 0) {
<a name="l00321"></a>00321 d_num = uminus(d_num);
<a name="l00322"></a>00322 d_denom = uminus(d_denom);
<a name="l00323"></a>00323 }
<a name="l00324"></a>00324 <span class="keywordtype">long</span> <span class="keywordtype">int</span> d = gcd(d_num, d_denom);
<a name="l00325"></a>00325 <span class="keywordflow">if</span>(d != 1) {
<a name="l00326"></a>00326 d_num /= d;
<a name="l00327"></a>00327 d_denom /= d;
<a name="l00328"></a>00328 }
<a name="l00329"></a>00329 }
<a name="l00330"></a>00330 }
<a name="l00331"></a>00331
<a name="l00332"></a>00332 <span class="comment">// Constructor from a string</span>
<a name="l00333"></a>00333 Rational::Impl::Impl(<span class="keyword">const</span> <span class="keywordtype">string</span> &n, <span class="keywordtype">int</span> base) {
<a name="l00334"></a>00334 <span class="keywordtype">size_t</span> i, iend;
<a name="l00335"></a>00335 <span class="keywordflow">for</span>(i=0,iend=n.size(); i<iend && n[i] != <span class="charliteral">'/'</span>; ++i);
<a name="l00336"></a>00336 <span class="keywordflow">if</span>(i<iend)
<a name="l00337"></a>00337 <span class="comment">// Found slash at i</span>
<a name="l00338"></a>00338 *<span class="keyword">this</span> = Impl(n.substr(0,i-1), n.substr(i+1,iend-1), base);
<a name="l00339"></a>00339 <span class="keywordflow">else</span>
<a name="l00340"></a>00340 *<span class="keyword">this</span> = Impl(n, <span class="stringliteral">"1"</span>, base);
<a name="l00341"></a>00341 canonicalize();
<a name="l00342"></a>00342 }
<a name="l00343"></a>00343 <span class="comment">// Constructor from a pair of strings</span>
<a name="l00344"></a>00344 Rational::Impl::Impl(<span class="keyword">const</span> <span class="keywordtype">string</span> &n, <span class="keyword">const</span> <span class="keywordtype">string</span>& d, <span class="keywordtype">int</span> base) {
<a name="l00345"></a>00345 d_num = strtol(n.c_str(), NULL, base);
<a name="l00346"></a>00346 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(d_num != LONG_MIN && d_num != LONG_MAX,
<a name="l00347"></a>00347 <span class="stringliteral">"Rational::Impl(string, string): arithmetic overflow:"</span>
<a name="l00348"></a>00348 <span class="stringliteral">"n = "</span>+n+<span class="stringliteral">", d="</span>+d+<span class="stringliteral">", base="</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(base)
<a name="l00349"></a>00349 +OVERFLOW_MSG);
<a name="l00350"></a>00350 d_denom = strtol(d.c_str(), NULL, base);
<a name="l00351"></a>00351 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(d_denom != LONG_MIN && d_denom != LONG_MAX,
<a name="l00352"></a>00352 <span class="stringliteral">"Rational::Impl(string, string): arithmetic overflow:"</span>
<a name="l00353"></a>00353 <span class="stringliteral">"n = "</span>+n+<span class="stringliteral">", d="</span>+d+<span class="stringliteral">", base="</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(base)
<a name="l00354"></a>00354 +OVERFLOW_MSG);
<a name="l00355"></a>00355 canonicalize();
<a name="l00356"></a>00356 }
<a name="l00357"></a>00357
<a name="l00358"></a>00358 Rational::Impl <a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">Rational::Impl::operator-</a>()<span class="keyword"> const </span>{
<a name="l00359"></a>00359 <span class="keywordflow">return</span> Impl(uminus(d_num), d_denom);
<a name="l00360"></a>00360 }
<a name="l00361"></a>00361
<a name="l00362"></a>00362 <span class="comment"></span>
<a name="l00363"></a>00363 <span class="comment"> //! Default constructor</span>
<a name="l00364"></a>00364 <span class="comment"></span> <a class="code" href="classCVC3_1_1Rational.html#a8f86f975b54d0a491bc909d677023467">Rational::Rational</a>() : d_n(new Impl) {
<a name="l00365"></a>00365 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00366"></a>00366 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00367"></a>00367 num_created++;
<a name="l00368"></a>00368 printStats();
<a name="l00369"></a>00369 <span class="preprocessor">#endif</span>
<a name="l00370"></a>00370 <span class="preprocessor"></span> }<span class="comment"></span>
<a name="l00371"></a>00371 <span class="comment"> //! Copy constructor</span>
<a name="l00372"></a>00372 <span class="comment"></span> Rational::Rational(<span class="keyword">const</span> Rational &n) : d_n(new Impl(*n.d_n)) {
<a name="l00373"></a>00373 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00374"></a>00374 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00375"></a>00375 num_created++;
<a name="l00376"></a>00376 printStats();
<a name="l00377"></a>00377 <span class="preprocessor">#endif</span>
<a name="l00378"></a>00378 <span class="preprocessor"></span> }
<a name="l00379"></a>00379
<a name="l00380"></a>00380 Rational::Rational(<span class="keyword">const</span> Unsigned &n) : d_n(new Impl(n.getUnsigned())) {
<a name="l00381"></a>00381 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00382"></a>00382 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00383"></a>00383 num_created++;
<a name="l00384"></a>00384 printStats();
<a name="l00385"></a>00385 <span class="preprocessor">#endif</span>
<a name="l00386"></a>00386 <span class="preprocessor"></span> }
<a name="l00387"></a>00387 <span class="comment"></span>
<a name="l00388"></a>00388 <span class="comment"> //! Private constructor</span>
<a name="l00389"></a>00389 <span class="comment"></span> Rational::Rational(<span class="keyword">const</span> Impl& t): d_n(new Impl(t)) {
<a name="l00390"></a>00390 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00391"></a>00391 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00392"></a>00392 num_created++;
<a name="l00393"></a>00393 printStats();
<a name="l00394"></a>00394 <span class="preprocessor">#endif</span>
<a name="l00395"></a>00395 <span class="preprocessor"></span> }
<a name="l00396"></a>00396 Rational::Rational(<span class="keywordtype">int</span> n, <span class="keywordtype">int</span> d): d_n(new Impl(n, d)) {
<a name="l00397"></a>00397 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00398"></a>00398 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00399"></a>00399 num_created++;
<a name="l00400"></a>00400 printStats();
<a name="l00401"></a>00401 <span class="preprocessor">#endif</span>
<a name="l00402"></a>00402 <span class="preprocessor"></span> }
<a name="l00403"></a>00403 <span class="comment">// Constructors from strings</span>
<a name="l00404"></a>00404 Rational::Rational(<span class="keyword">const</span> <span class="keywordtype">char</span>* n, <span class="keywordtype">int</span> base)
<a name="l00405"></a>00405 : d_n(new Impl(string(n), base)) {
<a name="l00406"></a>00406 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00407"></a>00407 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00408"></a>00408 num_created++;
<a name="l00409"></a>00409 printStats();
<a name="l00410"></a>00410 <span class="preprocessor">#endif</span>
<a name="l00411"></a>00411 <span class="preprocessor"></span> }
<a name="l00412"></a>00412 Rational::Rational(<span class="keyword">const</span> <span class="keywordtype">string</span>& n, <span class="keywordtype">int</span> base)
<a name="l00413"></a>00413 : d_n(new Impl(n, base)) {
<a name="l00414"></a>00414 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00415"></a>00415 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00416"></a>00416 num_created++;
<a name="l00417"></a>00417 printStats();
<a name="l00418"></a>00418 <span class="preprocessor">#endif</span>
<a name="l00419"></a>00419 <span class="preprocessor"></span> }
<a name="l00420"></a>00420 Rational::Rational(<span class="keyword">const</span> <span class="keywordtype">char</span>* n, <span class="keyword">const</span> <span class="keywordtype">char</span>* d, <span class="keywordtype">int</span> base)
<a name="l00421"></a>00421 : d_n(new Impl(string(n), string(d), base)) {
<a name="l00422"></a>00422 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00423"></a>00423 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00424"></a>00424 num_created++;
<a name="l00425"></a>00425 printStats();
<a name="l00426"></a>00426 <span class="preprocessor">#endif</span>
<a name="l00427"></a>00427 <span class="preprocessor"></span> }
<a name="l00428"></a>00428 Rational::Rational(<span class="keyword">const</span> <span class="keywordtype">string</span>& n, <span class="keyword">const</span> <span class="keywordtype">string</span>& d, <span class="keywordtype">int</span> base)
<a name="l00429"></a>00429 : d_n(new Impl(n, d, base)) {
<a name="l00430"></a>00430 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00431"></a>00431 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00432"></a>00432 num_created++;
<a name="l00433"></a>00433 printStats();
<a name="l00434"></a>00434 <span class="preprocessor">#endif</span>
<a name="l00435"></a>00435 <span class="preprocessor"></span> }
<a name="l00436"></a>00436 <span class="comment">// Destructor</span>
<a name="l00437"></a>00437 Rational::~Rational() {
<a name="l00438"></a>00438 <span class="keyword">delete</span> d_n;
<a name="l00439"></a>00439 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00440"></a>00440 <span class="preprocessor"></span> <span class="keywordtype">int</span> &num_deleted = getDeleted();
<a name="l00441"></a>00441 num_deleted++;
<a name="l00442"></a>00442 printStats();
<a name="l00443"></a>00443 <span class="preprocessor">#endif</span>
<a name="l00444"></a>00444 <span class="preprocessor"></span> }
<a name="l00445"></a>00445
<a name="l00446"></a>00446 <span class="comment">// Get components</span>
<a name="l00447"></a>00447 Rational Rational::getNumerator()<span class="keyword"> const</span>
<a name="l00448"></a>00448 <span class="keyword"> </span>{ <span class="keywordflow">return</span> Rational(Impl(d_n->getNum(), 1)); }
<a name="l00449"></a>00449 Rational Rational::getDenominator()<span class="keyword"> const</span>
<a name="l00450"></a>00450 <span class="keyword"> </span>{ <span class="keywordflow">return</span> Rational(Impl(d_n->getDen(), 1)); }
<a name="l00451"></a>00451
<a name="l00452"></a>00452 <span class="keywordtype">bool</span> Rational::isInteger()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> 1 == d_n->getDen(); }
<a name="l00453"></a>00453
<a name="l00454"></a>00454 <span class="comment">// Assignment</span>
<a name="l00455"></a>00455 Rational& Rational::operator=(<span class="keyword">const</span> Rational& n) {
<a name="l00456"></a>00456 <span class="keywordflow">if</span>(<span class="keyword">this</span> == &n) <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00457"></a>00457 <span class="keyword">delete</span> d_n;
<a name="l00458"></a>00458 d_n = <span class="keyword">new</span> Impl(*n.d_n);
<a name="l00459"></a>00459 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00460"></a>00460 }
<a name="l00461"></a>00461
<a name="l00462"></a>00462 ostream &<a class="code" href="namespaceCVC3.html#a6b7e38d3c97da1e91e12a6c9555b8163">operator<<</a>(ostream &os, <span class="keyword">const</span> Rational &n) {
<a name="l00463"></a>00463 <span class="keywordflow">return</span>(os << n.toString());
<a name="l00464"></a>00464 }
<a name="l00465"></a>00465
<a name="l00466"></a>00466
<a name="l00467"></a>00467 <span class="comment">// Check that argument is an int and print an error message otherwise</span>
<a name="l00468"></a>00468
<a name="l00469"></a>00469 <span class="keyword">static</span> <span class="keywordtype">void</span> checkInt(<span class="keyword">const</span> Rational& n, <span class="keyword">const</span> <span class="keywordtype">string</span>& funName) {
<a name="l00470"></a>00470 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(n.isInteger(),
<a name="l00471"></a>00471 (<span class="stringliteral">"CVC3::Rational::"</span> + funName
<a name="l00472"></a>00472 + <span class="stringliteral">": argument is not an integer: "</span> + n.toString()).c_str());
<a name="l00473"></a>00473 }
<a name="l00474"></a>00474
<a name="l00475"></a>00475 <span class="comment">/* Computes gcd and lcm on *integer* values. Result is always a</span>
<a name="l00476"></a>00476 <span class="comment"> positive integer. In this implementation, it is guaranteed by</span>
<a name="l00477"></a>00477 <span class="comment"> GMP. */</span>
<a name="l00478"></a>00478
<a name="l00479"></a>00479 Rational gcd(<span class="keyword">const</span> Rational &x, <span class="keyword">const</span> Rational &y) {
<a name="l00480"></a>00480 checkInt(x, <span class="stringliteral">"gcd(*x*,y)"</span>);
<a name="l00481"></a>00481 checkInt(y, <span class="stringliteral">"gcd(x,*y*)"</span>);
<a name="l00482"></a>00482 <span class="keywordflow">return</span> Rational(Rational::Impl(gcd(x.d_n->getNum(), y.d_n->getNum()), 1));
<a name="l00483"></a>00483 }
<a name="l00484"></a>00484
<a name="l00485"></a>00485 Rational gcd(<span class="keyword">const</span> vector<Rational> &v) {
<a name="l00486"></a>00486 <span class="keywordtype">long</span> <span class="keywordtype">int</span> g(1);
<a name="l00487"></a>00487 <span class="keywordflow">if</span>(v.size() > 0) {
<a name="l00488"></a>00488 checkInt(v[0], <span class="stringliteral">"gcd(vector<Rational>[0])"</span>);
<a name="l00489"></a>00489 g = v[0].d_n->getNum();
<a name="l00490"></a>00490 }
<a name="l00491"></a>00491 <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=1; i<v.size(); i++) {
<a name="l00492"></a>00492 checkInt(v[i], <span class="stringliteral">"gcd(vector<Rational>)"</span>);
<a name="l00493"></a>00493 <span class="keywordflow">if</span>(g == 0) g = v[i].d_n->getNum();
<a name="l00494"></a>00494 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(v[i].d_n->getNum() != 0)
<a name="l00495"></a>00495 g = gcd(g, v[i].d_n->getNum());
<a name="l00496"></a>00496 }
<a name="l00497"></a>00497 <span class="keywordflow">return</span> Rational(Rational::Impl(g,1));
<a name="l00498"></a>00498 }
<a name="l00499"></a>00499
<a name="l00500"></a>00500 Rational lcm(<span class="keyword">const</span> Rational &x, <span class="keyword">const</span> Rational &y) {
<a name="l00501"></a>00501 <span class="keywordtype">long</span> <span class="keywordtype">int</span> g;
<a name="l00502"></a>00502 checkInt(x, <span class="stringliteral">"lcm(*x*,y)"</span>);
<a name="l00503"></a>00503 checkInt(y, <span class="stringliteral">"lcm(x,*y*)"</span>);
<a name="l00504"></a>00504 g = lcm(x.d_n->getNum(), y.d_n->getNum());
<a name="l00505"></a>00505 <span class="keywordflow">return</span> Rational(Rational::Impl(g, 1));
<a name="l00506"></a>00506 }
<a name="l00507"></a>00507
<a name="l00508"></a>00508 Rational lcm(<span class="keyword">const</span> vector<Rational> &v) {
<a name="l00509"></a>00509 <span class="keywordtype">long</span> <span class="keywordtype">int</span> g(1);
<a name="l00510"></a>00510 <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0; i<v.size(); i++) {
<a name="l00511"></a>00511 checkInt(v[i], <span class="stringliteral">"lcm(vector<Rational>)"</span>);
<a name="l00512"></a>00512 <span class="keywordflow">if</span>(v[i].d_n->getNum() != 0)
<a name="l00513"></a>00513 g = lcm(g, v[i].d_n->getNum());
<a name="l00514"></a>00514 }
<a name="l00515"></a>00515 <span class="keywordflow">return</span> Rational(Rational::Impl(g,1));
<a name="l00516"></a>00516 }
<a name="l00517"></a>00517
<a name="l00518"></a>00518 Rational <a class="code" href="namespaceCVC3.html#a39fc111339d6dffdc98d6a25b68dff0e">abs</a>(<span class="keyword">const</span> Rational &x) {
<a name="l00519"></a>00519 <span class="keywordtype">long</span> <span class="keywordtype">int</span> n(x.d_n->getNum());
<a name="l00520"></a>00520 <span class="keywordflow">if</span>(n>=0) <span class="keywordflow">return</span> x;
<a name="l00521"></a>00521 <span class="keywordflow">return</span> Rational(Rational::Impl(-n, x.d_n->getDen()));
<a name="l00522"></a>00522 }
<a name="l00523"></a>00523
<a name="l00524"></a>00524 Rational floor(<span class="keyword">const</span> Rational &x) {
<a name="l00525"></a>00525 <span class="keywordflow">if</span>(x.d_n->getDen() == 1) <span class="keywordflow">return</span> x;
<a name="l00526"></a>00526 <span class="keywordtype">long</span> <span class="keywordtype">int</span> n = x.d_n->getNum();
<a name="l00527"></a>00527 <span class="keywordtype">long</span> <span class="keywordtype">int</span> nAbs = (n<0)? uminus(n) : n;
<a name="l00528"></a>00528 <span class="keywordtype">long</span> <span class="keywordtype">int</span> q = nAbs / x.d_n->getDen();
<a name="l00529"></a>00529 <span class="keywordflow">if</span>(n < 0) q = plus(uminus(q), -1);
<a name="l00530"></a>00530 <span class="keywordflow">return</span> Rational(Rational::Impl(q,1));
<a name="l00531"></a>00531 }
<a name="l00532"></a>00532
<a name="l00533"></a>00533 Rational ceil(<span class="keyword">const</span> Rational &x) {
<a name="l00534"></a>00534 <span class="keywordflow">if</span>(x.d_n->getDen() == 1) <span class="keywordflow">return</span> x;
<a name="l00535"></a>00535 <span class="keywordtype">long</span> <span class="keywordtype">int</span> n = x.d_n->getNum();
<a name="l00536"></a>00536 <span class="keywordtype">long</span> <span class="keywordtype">int</span> nAbs = (n<0)? -n : n;
<a name="l00537"></a>00537 <span class="keywordtype">long</span> <span class="keywordtype">int</span> q = nAbs / x.d_n->getDen();
<a name="l00538"></a>00538 <span class="keywordflow">if</span>(n > 0) q = plus(q, 1);
<a name="l00539"></a>00539 <span class="keywordflow">else</span> q = uminus(q);
<a name="l00540"></a>00540 <span class="keywordflow">return</span> Rational(Rational::Impl(q,1));
<a name="l00541"></a>00541 }
<a name="l00542"></a>00542
<a name="l00543"></a>00543 Rational mod(<span class="keyword">const</span> Rational &x, <span class="keyword">const</span> Rational &y) {
<a name="l00544"></a>00544 checkInt(x, <span class="stringliteral">"mod(*x*,y)"</span>);
<a name="l00545"></a>00545 checkInt(y, <span class="stringliteral">"mod(x,*y*)"</span>);
<a name="l00546"></a>00546 <span class="keywordtype">long</span> <span class="keywordtype">int</span> r = x.d_n->getNum() % y.d_n->getNum();
<a name="l00547"></a>00547 <span class="keywordflow">return</span>(Rational(Rational::Impl(r,1)));
<a name="l00548"></a>00548 }
<a name="l00549"></a>00549
<a name="l00550"></a>00550 Rational intRoot(<span class="keyword">const</span> Rational& base, <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> n) {
<a name="l00551"></a>00551 checkInt(base, <span class="stringliteral">"intRoot(*x*,y)"</span>);
<a name="l00552"></a>00552 checkInt(n, <span class="stringliteral">"intRoot(x,*y*)"</span>);
<a name="l00553"></a>00553 <span class="keywordtype">double</span> b = base.d_n->getNum();
<a name="l00554"></a>00554 <span class="keywordtype">double</span> root = n;
<a name="l00555"></a>00555 root = 1/root;
<a name="l00556"></a>00556 b =<a class="code" href="namespaceCVC3.html#a28fc84bed3f9bc91ca9967de0f9cfa00" title="Raise 'base' into the power of 'pow' (pow must be an integer)"> ::pow</a>(b, root);
<a name="l00557"></a>00557 <span class="keywordtype">long</span> res = (long) ::floor(b);
<a name="l00558"></a>00558 <span class="keywordflow">if</span> (::<a class="code" href="namespaceCVC3.html#a28fc84bed3f9bc91ca9967de0f9cfa00" title="Raise 'base' into the power of 'pow' (pow must be an integer)">pow</a>((<span class="keywordtype">long</span> <span class="keywordtype">double</span>)res, (int)n) == base.d_n->getNum()) {
<a name="l00559"></a>00559 <span class="keywordflow">return</span> Rational(Rational::Impl(res,1));
<a name="l00560"></a>00560 }
<a name="l00561"></a>00561 <span class="keywordflow">return</span> Rational(Rational::Impl((<span class="keywordtype">long</span>)0,(<span class="keywordtype">long</span>)1));
<a name="l00562"></a>00562 }
<a name="l00563"></a>00563
<a name="l00564"></a>00564 <span class="keywordtype">string</span> Rational::toString(<span class="keywordtype">int</span> base)<span class="keyword"> const </span>{
<a name="l00565"></a>00565 <span class="keywordflow">return</span>(d_n->toString(base));
<a name="l00566"></a>00566 }
<a name="l00567"></a>00567
<a name="l00568"></a>00568 <span class="keywordtype">size_t</span> Rational::hash()<span class="keyword"> const </span>{
<a name="l00569"></a>00569 <a class="code" href="structHash_1_1hash_3_01const_01char_01_5_01_4.html">std::hash<const char *></a> h;
<a name="l00570"></a>00570 <span class="keywordflow">return</span> h(toString().c_str());
<a name="l00571"></a>00571 }
<a name="l00572"></a>00572
<a name="l00573"></a>00573 <span class="keywordtype">void</span> Rational::print()<span class="keyword"> const </span>{
<a name="l00574"></a>00574 cout << (*this) << <a class="code" href="group__ExprStream__Manip.html#ga05b0ea7353ec24fa8e7e272d7a7875d8" title="Print the end-of-line.">endl</a>;
<a name="l00575"></a>00575 }
<a name="l00576"></a>00576
<a name="l00577"></a>00577 <span class="comment">// Unary minus</span>
<a name="l00578"></a>00578 Rational <a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">Rational::operator-</a>()<span class="keyword"> const </span>{
<a name="l00579"></a>00579 <span class="keywordflow">return</span> Rational(Rational::Impl(-(d_n->getNum()), d_n->getDen()));
<a name="l00580"></a>00580 }
<a name="l00581"></a>00581
<a name="l00582"></a>00582 Rational &Rational::operator+=(<span class="keyword">const</span> Rational &n2) {
<a name="l00583"></a>00583 *<span class="keyword">this</span> = (*this) + n2;
<a name="l00584"></a>00584 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00585"></a>00585 }
<a name="l00586"></a>00586
<a name="l00587"></a>00587 Rational &Rational::operator-=(<span class="keyword">const</span> Rational &n2) {
<a name="l00588"></a>00588 *<span class="keyword">this</span> = (*this) - n2;
<a name="l00589"></a>00589 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00590"></a>00590 }
<a name="l00591"></a>00591
<a name="l00592"></a>00592 Rational &Rational::operator*=(<span class="keyword">const</span> Rational &n2) {
<a name="l00593"></a>00593 *<span class="keyword">this</span> = (*this) * n2;
<a name="l00594"></a>00594 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00595"></a>00595 }
<a name="l00596"></a>00596
<a name="l00597"></a>00597 Rational &Rational::operator/=(<span class="keyword">const</span> Rational &n2) {
<a name="l00598"></a>00598 *<span class="keyword">this</span> = (*this) / n2;
<a name="l00599"></a>00599 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00600"></a>00600 }
<a name="l00601"></a>00601
<a name="l00602"></a>00602 <span class="keywordtype">int</span> Rational::getInt()<span class="keyword"> const </span>{
<a name="l00603"></a>00603 checkInt(*<span class="keyword">this</span>, <span class="stringliteral">"getInt()"</span>);
<a name="l00604"></a>00604 <span class="keywordtype">long</span> <span class="keywordtype">int</span> res = d_n->getNum();
<a name="l00605"></a>00605 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(res >= INT_MIN && res <= INT_MAX,
<a name="l00606"></a>00606 <span class="stringliteral">"Rational::getInt(): arithmetic overflow on "</span>+toString() +
<a name="l00607"></a>00607 OVERFLOW_MSG);
<a name="l00608"></a>00608 <span class="keywordflow">return</span> (<span class="keywordtype">int</span>)res;
<a name="l00609"></a>00609 }
<a name="l00610"></a>00610
<a name="l00611"></a>00611 <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Rational::getUnsigned()<span class="keyword"> const </span>{
<a name="l00612"></a>00612 checkInt(*<span class="keyword">this</span>, <span class="stringliteral">"getUnsigned()"</span>);
<a name="l00613"></a>00613 <span class="keywordtype">long</span> <span class="keywordtype">int</span> res = d_n->getNum();
<a name="l00614"></a>00614 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(res >= 0 && res <= (<span class="keywordtype">long</span> <span class="keywordtype">int</span>)UINT_MAX,
<a name="l00615"></a>00615 <span class="stringliteral">"Rational::getUnsigned(): arithmetic overflow on "</span> + toString() +
<a name="l00616"></a>00616 OVERFLOW_MSG);
<a name="l00617"></a>00617 <span class="keywordflow">return</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>)res;
<a name="l00618"></a>00618 }
<a name="l00619"></a>00619
<a name="l00620"></a>00620 <span class="preprocessor">#ifdef _DEBUG_RATIONAL_</span>
<a name="l00621"></a>00621 <span class="preprocessor"></span> <span class="keywordtype">void</span> Rational::printStats() {
<a name="l00622"></a>00622 <span class="keywordtype">int</span> &num_created = getCreated();
<a name="l00623"></a>00623 <span class="keywordtype">int</span> &num_deleted = getDeleted();
<a name="l00624"></a>00624 <span class="keywordflow">if</span>(num_created % 1000 == 0 || num_deleted % 1000 == 0) {
<a name="l00625"></a>00625 std::cerr << <span class="stringliteral">"Rational("</span> << *d_n << <span class="stringliteral">"): created "</span> << num_created
<a name="l00626"></a>00626 << <span class="stringliteral">", deleted "</span> << num_deleted
<a name="l00627"></a>00627 << <span class="stringliteral">", currently alive "</span> << num_created-num_deleted
<a name="l00628"></a>00628 << <a class="code" href="group__ExprStream__Manip.html#ga05b0ea7353ec24fa8e7e272d7a7875d8" title="Print the end-of-line.">std::endl</a>;
<a name="l00629"></a>00629 }
<a name="l00630"></a>00630 }
<a name="l00631"></a>00631 <span class="preprocessor">#endif</span>
<a name="l00632"></a>00632 <span class="preprocessor"></span>
<a name="l00633"></a>00633 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a8e164436388f2d87c971d9bbde973c58">operator==</a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00634"></a>00634 <span class="keywordflow">return</span>(*n1.d_n == *n2.d_n);
<a name="l00635"></a>00635 }
<a name="l00636"></a>00636
<a name="l00637"></a>00637 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#ad3e3964a0b8cd9e2749de47b053b9d97">operator<</a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00638"></a>00638 <span class="keywordflow">return</span>(*n1.d_n < *n2.d_n);
<a name="l00639"></a>00639 }
<a name="l00640"></a>00640
<a name="l00641"></a>00641 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#abccc88aac4f7652def737f1081dc7a89">operator<=</a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00642"></a>00642 <span class="keywordflow">return</span>(*n1.d_n <= *n2.d_n);
<a name="l00643"></a>00643 }
<a name="l00644"></a>00644
<a name="l00645"></a>00645 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a0d82fd3eb68860cbd01ae86b2b9e3c66">operator></a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00646"></a>00646 <span class="keywordflow">return</span>(*n1.d_n > *n2.d_n);
<a name="l00647"></a>00647 }
<a name="l00648"></a>00648
<a name="l00649"></a>00649 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#af997ba8407b661bf2ffe2cb6f52c3e3b">operator>=</a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00650"></a>00650 <span class="keywordflow">return</span>(*n1.d_n >= *n2.d_n);
<a name="l00651"></a>00651 }
<a name="l00652"></a>00652
<a name="l00653"></a>00653 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a5aa953c549c2e103f3834c48bf6cb9a1">operator!=</a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00654"></a>00654 <span class="keywordflow">return</span>(*n1.d_n != *n2.d_n);
<a name="l00655"></a>00655 }
<a name="l00656"></a>00656
<a name="l00657"></a>00657 Rational <a class="code" href="namespaceCVC3.html#a286cf8699acada708816e72c6b436b90">operator+</a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00658"></a>00658 <span class="keywordflow">return</span> Rational(Rational::Impl(*n1.d_n + *n2.d_n));
<a name="l00659"></a>00659 }
<a name="l00660"></a>00660
<a name="l00661"></a>00661 Rational <a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">operator-</a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00662"></a>00662 <span class="keywordflow">return</span> Rational(Rational::Impl((*n1.d_n) - (*n2.d_n)));
<a name="l00663"></a>00663 }
<a name="l00664"></a>00664
<a name="l00665"></a>00665 Rational <a class="code" href="namespaceCVC3.html#a300bc9244236ebdb1bff90b0b453034c">operator*</a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00666"></a>00666 <span class="keywordflow">return</span> Rational(Rational::Impl((*n1.d_n) * (*n2.d_n)));
<a name="l00667"></a>00667 }
<a name="l00668"></a>00668
<a name="l00669"></a>00669 Rational <a class="code" href="namespaceCVC3.html#a069aa16342bb9958a3d576a18a390248">operator/</a>(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00670"></a>00670 <span class="keywordflow">return</span> Rational(Rational::Impl(*n1.d_n / *n2.d_n));
<a name="l00671"></a>00671 }
<a name="l00672"></a>00672
<a name="l00673"></a>00673 Rational operator%(<span class="keyword">const</span> Rational &n1, <span class="keyword">const</span> Rational &n2) {
<a name="l00674"></a>00674 <span class="keywordflow">return</span> Rational(Rational::Impl(*n1.d_n % *n2.d_n));
<a name="l00675"></a>00675 }
<a name="l00676"></a>00676
<a name="l00677"></a>00677 <span class="comment">// Implementation of the forward-declared internal class</span>
<a name="l00678"></a>00678 <span class="keyword">class </span>Unsigned::Impl {
<a name="l00679"></a>00679 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> d_num;
<a name="l00680"></a>00680 <span class="keyword">public</span>:<span class="comment"></span>
<a name="l00681"></a>00681 <span class="comment"> //! Default Constructor</span>
<a name="l00682"></a>00682 <span class="comment"></span> Impl(): d_num(0) { }<span class="comment"></span>
<a name="l00683"></a>00683 <span class="comment"> //! Copy constructor</span>
<a name="l00684"></a>00684 <span class="comment"></span> Impl(<span class="keyword">const</span> Impl &x) : d_num(x.d_num) { }<span class="comment"></span>
<a name="l00685"></a>00685 <span class="comment"> //! Constructor from an unsigned integer</span>
<a name="l00686"></a>00686 <span class="comment"></span> Impl(<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n): d_num(n) { }<span class="comment"></span>
<a name="l00687"></a>00687 <span class="comment"> //! Constructor from an int</span>
<a name="l00688"></a>00688 <span class="comment"></span> Impl(<span class="keywordtype">int</span> n): d_num(n) {
<a name="l00689"></a>00689 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(n >= 0, <span class="stringliteral">"Attempt to create Unsigned from negative integer"</span>);
<a name="l00690"></a>00690 }
<a name="l00691"></a>00691 <span class="comment"></span>
<a name="l00692"></a>00692 <span class="comment"> //! Constructor from a string</span>
<a name="l00693"></a>00693 <span class="comment"></span> Impl(<span class="keyword">const</span> <span class="keywordtype">string</span> &n, <span class="keywordtype">int</span> base);
<a name="l00694"></a>00694 <span class="comment">// Destructor</span>
<a name="l00695"></a>00695 <span class="keyword">virtual</span> ~Impl() { }<span class="comment"></span>
<a name="l00696"></a>00696 <span class="comment"> //! Get unsigned</span>
<a name="l00697"></a>00697 <span class="comment"></span> <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> getUnsigned()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> d_num; }
<a name="l00698"></a>00698
<a name="l00699"></a>00699 <span class="comment"></span>
<a name="l00700"></a>00700 <span class="comment"> //! Equality</span>
<a name="l00701"></a>00701 <span class="comment"></span> <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a8e164436388f2d87c971d9bbde973c58">operator==</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00702"></a>00702 <span class="keywordflow">return</span> (x.d_num == y.d_num);
<a name="l00703"></a>00703 }<span class="comment"></span>
<a name="l00704"></a>00704 <span class="comment"> //! Dis-equality</span>
<a name="l00705"></a>00705 <span class="comment"></span> <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a5aa953c549c2e103f3834c48bf6cb9a1">operator!=</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00706"></a>00706 <span class="keywordflow">return</span> (x.d_num != y.d_num);
<a name="l00707"></a>00707 }
<a name="l00708"></a>00708 <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#ad3e3964a0b8cd9e2749de47b053b9d97">operator<</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00709"></a>00709 <span class="keywordflow">return</span> x.d_num < y.d_num;
<a name="l00710"></a>00710 }
<a name="l00711"></a>00711
<a name="l00712"></a>00712 <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#abccc88aac4f7652def737f1081dc7a89">operator<=</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00713"></a>00713 <span class="keywordflow">return</span> (x.d_num <= y.d_num);
<a name="l00714"></a>00714 }
<a name="l00715"></a>00715
<a name="l00716"></a>00716 <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a0d82fd3eb68860cbd01ae86b2b9e3c66">operator></a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00717"></a>00717 <span class="keywordflow">return</span> x.d_num > y.d_num;
<a name="l00718"></a>00718 }
<a name="l00719"></a>00719
<a name="l00720"></a>00720 <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#af997ba8407b661bf2ffe2cb6f52c3e3b">operator>=</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00721"></a>00721 <span class="keywordflow">return</span> x.d_num >= y.d_num;
<a name="l00722"></a>00722 }
<a name="l00723"></a>00723
<a name="l00724"></a>00724 <span class="keyword">friend</span> Impl <a class="code" href="namespaceCVC3.html#a286cf8699acada708816e72c6b436b90">operator+</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00725"></a>00725 <span class="keywordflow">return</span> Impl(uplus(x.d_num, y.d_num));
<a name="l00726"></a>00726 }
<a name="l00727"></a>00727
<a name="l00728"></a>00728 <span class="keyword">friend</span> Impl <a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">operator-</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00729"></a>00729 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n = unsigned_minus(x.d_num, y.d_num);
<a name="l00730"></a>00730 Impl res(n);
<a name="l00731"></a>00731 <span class="keywordflow">return</span> res;
<a name="l00732"></a>00732 }
<a name="l00733"></a>00733
<a name="l00734"></a>00734 <span class="keyword">friend</span> Impl <a class="code" href="namespaceCVC3.html#a300bc9244236ebdb1bff90b0b453034c">operator*</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00735"></a>00735 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n(umult(x.d_num, y.d_num));
<a name="l00736"></a>00736 <span class="keywordflow">return</span> Impl(n);
<a name="l00737"></a>00737 }
<a name="l00738"></a>00738
<a name="l00739"></a>00739 <span class="keyword">friend</span> Impl <a class="code" href="namespaceCVC3.html#a069aa16342bb9958a3d576a18a390248">operator/</a>(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00740"></a>00740 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(y.d_num != 0, <span class="stringliteral">"Impl::operator/: divisor is 0"</span>);
<a name="l00741"></a>00741 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n(x.d_num / y.d_num);
<a name="l00742"></a>00742 <span class="keywordflow">return</span> Impl(n);
<a name="l00743"></a>00743 }
<a name="l00744"></a>00744
<a name="l00745"></a>00745 <span class="keyword">friend</span> Impl operator%(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00746"></a>00746 <a class="code" href="debug_8h.html#a40dac3bdb2166ffc852ee8b1489d2b56">DebugAssert</a>(y.d_num != 0,
<a name="l00747"></a>00747 <span class="stringliteral">"Impl % Impl: y must be non-zero"</span>);
<a name="l00748"></a>00748 <span class="keywordflow">return</span> Impl(x.d_num % y.d_num);
<a name="l00749"></a>00749 }
<a name="l00750"></a>00750
<a name="l00751"></a>00751 <span class="keyword">friend</span> Impl <a class="code" href="namespaceCVC3.html#a6b7e38d3c97da1e91e12a6c9555b8163">operator<<</a>(<span class="keyword">const</span> Impl& x, <span class="keywordtype">unsigned</span> y) {
<a name="l00752"></a>00752 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> n(ushift(x.d_num, y));
<a name="l00753"></a>00753 <span class="keywordflow">return</span> Impl(n);
<a name="l00754"></a>00754 }
<a name="l00755"></a>00755
<a name="l00756"></a>00756 <span class="keyword">friend</span> Impl operator&(<span class="keyword">const</span> Impl& x, <span class="keyword">const</span> Impl& y) {
<a name="l00757"></a>00757 <span class="keywordflow">return</span> Impl(x.d_num & y.d_num);
<a name="l00758"></a>00758 }
<a name="l00759"></a>00759 <span class="comment"></span>
<a name="l00760"></a>00760 <span class="comment"> //! Print to string</span>
<a name="l00761"></a>00761 <span class="comment"></span> <span class="keywordtype">string</span> toString(<span class="keywordtype">int</span> base = 10)<span class="keyword"> const </span>{
<a name="l00762"></a>00762 ostringstream ss;
<a name="l00763"></a>00763 <span class="keywordflow">if</span> (d_num == 0) ss << <span class="stringliteral">"0"</span>;
<a name="l00764"></a>00764 <span class="keywordflow">else</span> <span class="keywordflow">if</span> (base == 10) {
<a name="l00765"></a>00765 ss << d_num;
<a name="l00766"></a>00766 }
<a name="l00767"></a>00767 <span class="keywordflow">else</span> {
<a name="l00768"></a>00768 vector<int> vec;
<a name="l00769"></a>00769 <span class="keywordtype">long</span> num = d_num;
<a name="l00770"></a>00770 <span class="keywordflow">while</span> (num) {
<a name="l00771"></a>00771 vec.push_back(num % base);
<a name="l00772"></a>00772 num = num / base;
<a name="l00773"></a>00773 }
<a name="l00774"></a>00774 <span class="keywordflow">while</span> (!vec.empty()) {
<a name="l00775"></a>00775 <span class="keywordflow">if</span> (base > 10 && vec.back() > 10) {
<a name="l00776"></a>00776 ss << (char)(<span class="charliteral">'A'</span> + (vec.back()-10));
<a name="l00777"></a>00777 }
<a name="l00778"></a>00778 <span class="keywordflow">else</span> ss << vec.back();
<a name="l00779"></a>00779 vec.pop_back();
<a name="l00780"></a>00780 }
<a name="l00781"></a>00781 }
<a name="l00782"></a>00782 <span class="keywordflow">return</span>(ss.str());
<a name="l00783"></a>00783 }
<a name="l00784"></a>00784 <span class="comment"></span>
<a name="l00785"></a>00785 <span class="comment"> //! Printing to ostream</span>
<a name="l00786"></a>00786 <span class="comment"></span> <span class="keyword">friend</span> ostream& <a class="code" href="namespaceCVC3.html#a6b7e38d3c97da1e91e12a6c9555b8163">operator<<</a>(ostream& os, <span class="keyword">const</span> Unsigned::Impl& n) {
<a name="l00787"></a>00787 <span class="keywordflow">return</span> os << n.toString();
<a name="l00788"></a>00788 }
<a name="l00789"></a>00789
<a name="l00790"></a>00790 };
<a name="l00791"></a>00791
<a name="l00792"></a>00792 <span class="comment">// Constructor from a pair of strings</span>
<a name="l00793"></a>00793 Unsigned::Impl::Impl(<span class="keyword">const</span> <span class="keywordtype">string</span> &n, <span class="keywordtype">int</span> base) {
<a name="l00794"></a>00794 d_num = strtoul(n.c_str(), NULL, base);
<a name="l00795"></a>00795 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(d_num != ULONG_MAX,
<a name="l00796"></a>00796 <span class="stringliteral">"Unsigned::Impl(string): arithmetic overflow:"</span>
<a name="l00797"></a>00797 <span class="stringliteral">"n = "</span>+n+<span class="stringliteral">", base="</span>+<a class="code" href="namespaceCVC3.html#af69618103f1f0f2eadada0796a2a940c">int2string</a>(base)
<a name="l00798"></a>00798 +OVERFLOW_MSG);
<a name="l00799"></a>00799 }
<a name="l00800"></a>00800 <span class="comment"></span>
<a name="l00801"></a>00801 <span class="comment"> //! Default constructor</span>
<a name="l00802"></a>00802 <span class="comment"></span> Unsigned::Unsigned() : d_n(new Impl) { }<span class="comment"></span>
<a name="l00803"></a>00803 <span class="comment"> //! Copy constructor</span>
<a name="l00804"></a>00804 <span class="comment"></span> Unsigned::Unsigned(<span class="keyword">const</span> Unsigned &n) : d_n(new Impl(*n.d_n)) { }
<a name="l00805"></a>00805 <span class="comment"></span>
<a name="l00806"></a>00806 <span class="comment"> //! Private constructor</span>
<a name="l00807"></a>00807 <span class="comment"></span> Unsigned::Unsigned(<span class="keyword">const</span> Impl& t): d_n(new Impl(t)) { }
<a name="l00808"></a>00808
<a name="l00809"></a>00809 Unsigned::Unsigned(<span class="keywordtype">unsigned</span> n): d_n(new Impl((unsigned long)n)) { }
<a name="l00810"></a>00810 Unsigned::Unsigned(<span class="keywordtype">int</span> n): d_n(new Impl(n)) { }
<a name="l00811"></a>00811
<a name="l00812"></a>00812 <span class="comment">// Constructors from strings</span>
<a name="l00813"></a>00813 Unsigned::Unsigned(<span class="keyword">const</span> <span class="keywordtype">char</span>* n, <span class="keywordtype">int</span> base)
<a name="l00814"></a>00814 : d_n(new Impl(string(n), base)) { }
<a name="l00815"></a>00815 Unsigned::Unsigned(<span class="keyword">const</span> <span class="keywordtype">string</span>& n, <span class="keywordtype">int</span> base)
<a name="l00816"></a>00816 : d_n(new Impl(n, base)) { }
<a name="l00817"></a>00817
<a name="l00818"></a>00818 <span class="comment">// Destructor</span>
<a name="l00819"></a>00819 Unsigned::~Unsigned() {
<a name="l00820"></a>00820 <span class="keyword">delete</span> d_n;
<a name="l00821"></a>00821 }
<a name="l00822"></a>00822
<a name="l00823"></a>00823 <span class="comment">// Assignment</span>
<a name="l00824"></a>00824 Unsigned& Unsigned::operator=(<span class="keyword">const</span> Unsigned& n) {
<a name="l00825"></a>00825 <span class="keywordflow">if</span>(<span class="keyword">this</span> == &n) <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00826"></a>00826 <span class="keyword">delete</span> d_n;
<a name="l00827"></a>00827 d_n = <span class="keyword">new</span> Impl(*n.d_n);
<a name="l00828"></a>00828 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00829"></a>00829 }
<a name="l00830"></a>00830
<a name="l00831"></a>00831 ostream &<a class="code" href="namespaceCVC3.html#a6b7e38d3c97da1e91e12a6c9555b8163">operator<<</a>(ostream &os, <span class="keyword">const</span> Unsigned &n) {
<a name="l00832"></a>00832 <span class="keywordflow">return</span>(os << n.toString());
<a name="l00833"></a>00833 }
<a name="l00834"></a>00834
<a name="l00835"></a>00835 Unsigned gcd(<span class="keyword">const</span> Unsigned &x, <span class="keyword">const</span> Unsigned &y) {
<a name="l00836"></a>00836 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(ugcd(x.d_n->getUnsigned(), y.d_n->getUnsigned())));
<a name="l00837"></a>00837 }
<a name="l00838"></a>00838
<a name="l00839"></a>00839 Unsigned gcd(<span class="keyword">const</span> vector<Unsigned> &v) {
<a name="l00840"></a>00840 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> g(1);
<a name="l00841"></a>00841 <span class="keywordflow">if</span>(v.size() > 0) {
<a name="l00842"></a>00842 g = v[0].d_n->getUnsigned();
<a name="l00843"></a>00843 }
<a name="l00844"></a>00844 <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=1; i<v.size(); i++) {
<a name="l00845"></a>00845 <span class="keywordflow">if</span>(g == 0) g = v[i].d_n->getUnsigned();
<a name="l00846"></a>00846 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(v[i].d_n->getUnsigned() != 0)
<a name="l00847"></a>00847 g = ugcd(g, v[i].d_n->getUnsigned());
<a name="l00848"></a>00848 }
<a name="l00849"></a>00849 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(g));
<a name="l00850"></a>00850 }
<a name="l00851"></a>00851
<a name="l00852"></a>00852 Unsigned lcm(<span class="keyword">const</span> Unsigned &x, <span class="keyword">const</span> Unsigned &y) {
<a name="l00853"></a>00853 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> g;
<a name="l00854"></a>00854 g = ulcm(x.d_n->getUnsigned(), y.d_n->getUnsigned());
<a name="l00855"></a>00855 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(g));
<a name="l00856"></a>00856 }
<a name="l00857"></a>00857
<a name="l00858"></a>00858 Unsigned lcm(<span class="keyword">const</span> vector<Unsigned> &v) {
<a name="l00859"></a>00859 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> g(1);
<a name="l00860"></a>00860 <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i=0; i<v.size(); i++) {
<a name="l00861"></a>00861 <span class="keywordflow">if</span>(v[i].d_n->getUnsigned() != 0)
<a name="l00862"></a>00862 g = ulcm(g, v[i].d_n->getUnsigned());
<a name="l00863"></a>00863 }
<a name="l00864"></a>00864 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(g));
<a name="l00865"></a>00865 }
<a name="l00866"></a>00866
<a name="l00867"></a>00867 Unsigned mod(<span class="keyword">const</span> Unsigned &x, <span class="keyword">const</span> Unsigned &y) {
<a name="l00868"></a>00868 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> r = x.d_n->getUnsigned() % y.d_n->getUnsigned();
<a name="l00869"></a>00869 <span class="keywordflow">return</span>(Unsigned(Unsigned::Impl(r)));
<a name="l00870"></a>00870 }
<a name="l00871"></a>00871
<a name="l00872"></a>00872 Unsigned intRoot(<span class="keyword">const</span> Unsigned& base, <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> <span class="keywordtype">int</span> n) {
<a name="l00873"></a>00873 <span class="keywordtype">double</span> b = base.d_n->getUnsigned();
<a name="l00874"></a>00874 <span class="keywordtype">double</span> root = n;
<a name="l00875"></a>00875 root = 1/root;
<a name="l00876"></a>00876 b =<a class="code" href="namespaceCVC3.html#a28fc84bed3f9bc91ca9967de0f9cfa00" title="Raise 'base' into the power of 'pow' (pow must be an integer)"> ::pow</a>(b, root);
<a name="l00877"></a>00877 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> res = (<span class="keywordtype">unsigned</span> long) ::floor(b);
<a name="l00878"></a>00878 <span class="keywordflow">if</span> (::<a class="code" href="namespaceCVC3.html#a28fc84bed3f9bc91ca9967de0f9cfa00" title="Raise 'base' into the power of 'pow' (pow must be an integer)">pow</a>((<span class="keywordtype">long</span> <span class="keywordtype">double</span>)res, (int)n) == base.d_n->getUnsigned()) {
<a name="l00879"></a>00879 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(res));
<a name="l00880"></a>00880 }
<a name="l00881"></a>00881 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl((<span class="keywordtype">unsigned</span> <span class="keywordtype">long</span>)0));
<a name="l00882"></a>00882 }
<a name="l00883"></a>00883
<a name="l00884"></a>00884 <span class="keywordtype">string</span> Unsigned::toString(<span class="keywordtype">int</span> base)<span class="keyword"> const </span>{
<a name="l00885"></a>00885 <span class="keywordflow">return</span>(d_n->toString(base));
<a name="l00886"></a>00886 }
<a name="l00887"></a>00887
<a name="l00888"></a>00888 <span class="keywordtype">size_t</span> Unsigned::hash()<span class="keyword"> const </span>{
<a name="l00889"></a>00889 <a class="code" href="structHash_1_1hash_3_01const_01char_01_5_01_4.html">std::hash<const char *></a> h;
<a name="l00890"></a>00890 <span class="keywordflow">return</span> h(toString().c_str());
<a name="l00891"></a>00891 }
<a name="l00892"></a>00892
<a name="l00893"></a>00893 <span class="keywordtype">void</span> Unsigned::print()<span class="keyword"> const </span>{
<a name="l00894"></a>00894 cout << (*this) << <a class="code" href="group__ExprStream__Manip.html#ga05b0ea7353ec24fa8e7e272d7a7875d8" title="Print the end-of-line.">endl</a>;
<a name="l00895"></a>00895 }
<a name="l00896"></a>00896
<a name="l00897"></a>00897 Unsigned &Unsigned::operator+=(<span class="keyword">const</span> Unsigned &n2) {
<a name="l00898"></a>00898 *<span class="keyword">this</span> = (*this) + n2;
<a name="l00899"></a>00899 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00900"></a>00900 }
<a name="l00901"></a>00901
<a name="l00902"></a>00902 Unsigned &Unsigned::operator-=(<span class="keyword">const</span> Unsigned &n2) {
<a name="l00903"></a>00903 *<span class="keyword">this</span> = (*this) - n2;
<a name="l00904"></a>00904 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00905"></a>00905 }
<a name="l00906"></a>00906
<a name="l00907"></a>00907 Unsigned &Unsigned::operator*=(<span class="keyword">const</span> Unsigned &n2) {
<a name="l00908"></a>00908 *<span class="keyword">this</span> = (*this) * n2;
<a name="l00909"></a>00909 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00910"></a>00910 }
<a name="l00911"></a>00911
<a name="l00912"></a>00912 Unsigned &Unsigned::operator/=(<span class="keyword">const</span> Unsigned &n2) {
<a name="l00913"></a>00913 *<span class="keyword">this</span> = (*this) / n2;
<a name="l00914"></a>00914 <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00915"></a>00915 }
<a name="l00916"></a>00916
<a name="l00917"></a>00917 <span class="keywordtype">unsigned</span> <span class="keywordtype">long</span> Unsigned::getUnsigned()<span class="keyword"> const </span>{
<a name="l00918"></a>00918 <span class="keywordflow">return</span> d_n->getUnsigned();
<a name="l00919"></a>00919 }
<a name="l00920"></a>00920
<a name="l00921"></a>00921 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a8e164436388f2d87c971d9bbde973c58">operator==</a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00922"></a>00922 <span class="keywordflow">return</span>(*n1.d_n == *n2.d_n);
<a name="l00923"></a>00923 }
<a name="l00924"></a>00924
<a name="l00925"></a>00925 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#ad3e3964a0b8cd9e2749de47b053b9d97">operator<</a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00926"></a>00926 <span class="keywordflow">return</span>(*n1.d_n < *n2.d_n);
<a name="l00927"></a>00927 }
<a name="l00928"></a>00928
<a name="l00929"></a>00929 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#abccc88aac4f7652def737f1081dc7a89">operator<=</a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00930"></a>00930 <span class="keywordflow">return</span>(*n1.d_n <= *n2.d_n);
<a name="l00931"></a>00931 }
<a name="l00932"></a>00932
<a name="l00933"></a>00933 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a0d82fd3eb68860cbd01ae86b2b9e3c66">operator></a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00934"></a>00934 <span class="keywordflow">return</span>(*n1.d_n > *n2.d_n);
<a name="l00935"></a>00935 }
<a name="l00936"></a>00936
<a name="l00937"></a>00937 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#af997ba8407b661bf2ffe2cb6f52c3e3b">operator>=</a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00938"></a>00938 <span class="keywordflow">return</span>(*n1.d_n >= *n2.d_n);
<a name="l00939"></a>00939 }
<a name="l00940"></a>00940
<a name="l00941"></a>00941 <span class="keywordtype">bool</span> <a class="code" href="namespaceCVC3.html#a5aa953c549c2e103f3834c48bf6cb9a1">operator!=</a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00942"></a>00942 <span class="keywordflow">return</span>(*n1.d_n != *n2.d_n);
<a name="l00943"></a>00943 }
<a name="l00944"></a>00944
<a name="l00945"></a>00945 Unsigned <a class="code" href="namespaceCVC3.html#a286cf8699acada708816e72c6b436b90">operator+</a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00946"></a>00946 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(*n1.d_n + *n2.d_n));
<a name="l00947"></a>00947 }
<a name="l00948"></a>00948
<a name="l00949"></a>00949 Unsigned <a class="code" href="namespaceCVC3.html#aacf567dce1c762f957267427472bd959">operator-</a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00950"></a>00950 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl((*n1.d_n) - (*n2.d_n)));
<a name="l00951"></a>00951 }
<a name="l00952"></a>00952
<a name="l00953"></a>00953 Unsigned <a class="code" href="namespaceCVC3.html#a300bc9244236ebdb1bff90b0b453034c">operator*</a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00954"></a>00954 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl((*n1.d_n) * (*n2.d_n)));
<a name="l00955"></a>00955 }
<a name="l00956"></a>00956
<a name="l00957"></a>00957 Unsigned <a class="code" href="namespaceCVC3.html#a069aa16342bb9958a3d576a18a390248">operator/</a>(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00958"></a>00958 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(*n1.d_n / *n2.d_n));
<a name="l00959"></a>00959 }
<a name="l00960"></a>00960
<a name="l00961"></a>00961 Unsigned operator%(<span class="keyword">const</span> Unsigned &n1, <span class="keyword">const</span> Unsigned &n2) {
<a name="l00962"></a>00962 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(*n1.d_n % *n2.d_n));
<a name="l00963"></a>00963 }
<a name="l00964"></a>00964
<a name="l00965"></a>00965 Unsigned <a class="code" href="namespaceCVC3.html#a6b7e38d3c97da1e91e12a6c9555b8163">operator<<</a>(<span class="keyword">const</span> Unsigned& n1, <span class="keywordtype">unsigned</span> n2) {
<a name="l00966"></a>00966 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(*n1.d_n << n2));
<a name="l00967"></a>00967 }
<a name="l00968"></a>00968
<a name="l00969"></a>00969 Unsigned operator&(<span class="keyword">const</span> Unsigned& n1, <span class="keyword">const</span> Unsigned& n2) {
<a name="l00970"></a>00970 <span class="keywordflow">return</span> Unsigned(Unsigned::Impl(*n1.d_n & *n2.d_n));
<a name="l00971"></a>00971 }
<a name="l00972"></a>00972
<a name="l00973"></a>00973 Unsigned Rational::getUnsignedMP()<span class="keyword"> const </span>{
<a name="l00974"></a>00974 checkInt(*<span class="keyword">this</span>, <span class="stringliteral">"getUnsignedMP()"</span>);
<a name="l00975"></a>00975 <span class="keywordtype">long</span> <span class="keywordtype">int</span> res = d_n->getNum();
<a name="l00976"></a>00976 <a class="code" href="debug_8h.html#a2637b2fffa22e3c9fad40cda8fcc3bce" title="If something goes horribly wrong, print a message and abort immediately with exit(1).">FatalAssert</a>(res >= 0 && res <= (<span class="keywordtype">long</span> <span class="keywordtype">int</span>)UINT_MAX,
<a name="l00977"></a>00977 <span class="stringliteral">"Rational::getUnsignedMP(): arithmetic overflow on "</span> + toString() +
<a name="l00978"></a>00978 OVERFLOW_MSG);
<a name="l00979"></a>00979 <span class="keywordflow">return</span> Unsigned((<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>)res);
<a name="l00980"></a>00980 }
<a name="l00981"></a>00981
<a name="l00982"></a>00982
<a name="l00983"></a>00983 } <span class="comment">/* close namespace */</span>
<a name="l00984"></a>00984
<a name="l00985"></a>00985 <span class="preprocessor">#endif</span>
</pre></div></div>
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