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<a class="el" href="dir_000007.html">contrib</a> / <a class="el" href="dir_000008.html">mathsym</a> / <a class="el" href="dir_000009.html">eval</a></div>
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<h1>Interval.h</h1><div class="fragment"><pre class="fragment">00001 <span class="comment">/* </span>
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00002 <span class="comment"> * Copyright (C) 2005 Maarten Keijzer</span>
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00003 <span class="comment"> *</span>
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00004 <span class="comment"> * This program is free software; you can redistribute it and/or modify</span>
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00005 <span class="comment"> * it under the terms of version 2 of the GNU General Public License as </span>
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00006 <span class="comment"> * published by the Free Software Foundation. </span>
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00007 <span class="comment"> *</span>
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00008 <span class="comment"> * This program is distributed in the hope that it will be useful,</span>
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00009 <span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span>
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00010 <span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span>
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00011 <span class="comment"> * GNU General Public License for more details.</span>
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00012 <span class="comment"> *</span>
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00013 <span class="comment"> * You should have received a copy of the GNU General Public License</span>
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00014 <span class="comment"> * along with this program; if not, write to the Free Software</span>
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00015 <span class="comment"> * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA</span>
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00016 <span class="comment"> */</span>
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00017
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00018 <span class="preprocessor">#ifndef INTERVAL__H__</span>
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00019 <span class="preprocessor"></span><span class="preprocessor">#define INTERVAL__H__</span>
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00020 <span class="preprocessor"></span>
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00021 <span class="preprocessor">#include <boost/numeric/interval.hpp></span>
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00022 <span class="preprocessor">#include <iostream></span>
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00023 <span class="preprocessor">#include <limits></span>
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00024
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00025
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00026 <span class="keyword">typedef</span> boost::numeric::interval_lib::rounded_transc_exact<double> RoundingTransc;
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00027 <span class="keyword">typedef</span> boost::numeric::interval_lib::save_state<RoundingTransc> Rounding;
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00028 <span class="keyword">typedef</span> boost::numeric::interval_lib::checking_base<double> Checking;
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00029 <span class="keyword">typedef</span> boost::numeric::interval_lib::policies<Rounding,Checking> Policy;
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00030 <span class="keyword">typedef</span> boost::numeric::interval<double, Policy> Interval;
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00031
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00032 <span class="keyword">struct </span>interval_error{};
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00033
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00034 <span class="keyword">inline</span> <span class="keywordtype">bool</span> valid(<span class="keyword">const</span> Interval& val) {
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00035 <span class="keywordflow">if</span> (!finite(val.lower()) || !finite(val.upper())) <span class="keywordflow">return</span> <span class="keyword">false</span>;
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00036
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00037 <span class="keywordflow">return</span> val.lower() > -1e10 && val.upper() < 1e10;
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00038 }
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00039
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00040 <span class="keyword">inline</span> Interval sqrt(<span class="keyword">const</span> Interval& val) {
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00041 <span class="keywordflow">if</span> (val.lower() < 0.0) {
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00042 <span class="keywordflow">return</span> Interval::whole();
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00043 }
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00044
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00045 <span class="keywordflow">return</span> boost::numeric::sqrt(val);
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00046 }
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00047
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00048 <span class="keyword">inline</span> Interval sqr(<span class="keyword">const</span> Interval& val) {
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00049 <span class="keywordflow">return</span> square(val);
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00050 }
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00051
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00052 <span class="keyword">inline</span> Interval acos(<span class="keyword">const</span> Interval& val) {
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00053 <span class="keywordflow">if</span> (val.lower() < 1.0 || val.upper() > 1.0) {
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00054 <span class="keywordflow">return</span> Interval::whole();
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00055 }
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00056
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00057 <span class="keywordflow">return</span> boost::numeric::acos(val);
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00058 }
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00059
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00060 <span class="keyword">inline</span> Interval asin(<span class="keyword">const</span> Interval& val) {
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00061 <span class="keywordflow">if</span> (val.lower() < 1.0 || val.upper() > 1.0) {
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00062 <span class="keywordflow">return</span> Interval::whole();
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00063 }
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00064
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00065 <span class="keywordflow">return</span> boost::numeric::asin(val);
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00066 }
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00067
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00068 <span class="keyword">inline</span> Interval acosh(<span class="keyword">const</span> Interval& val) {
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00069 <span class="keywordflow">if</span> (val.lower() < 1.0) <span class="keywordflow">return</span> Interval::whole();
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00070 <span class="keywordflow">return</span> boost::numeric::acosh(val);
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00071 }
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00072
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00073 <span class="keyword">inline</span>
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00074 std::ostream& operator<<(std::ostream& os, <span class="keyword">const</span> Interval& val) {
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00075 os << <span class="charliteral">'['</span> << val.lower() << <span class="stringliteral">", "</span> << val.upper() << <span class="charliteral">']'</span>;
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00076 <span class="keywordflow">return</span> os;
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00077 }
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00078
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00079 <span class="preprocessor">#ifdef TEST_INTERVAL</span>
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00080 <span class="preprocessor"></span><span class="keyword">using</span> <span class="keyword">namespace </span>std;
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00081 <span class="keyword">using</span> <span class="keyword">namespace </span>boost::numeric;
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00082
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00083 <span class="keywordtype">int</span> main() {
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00084 Interval a(0, 10);
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00085 Interval b(-1.5, 2);
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00086 cout << <span class="stringliteral">"a = "</span> << a << endl;
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00087 cout << <span class="stringliteral">"b = "</span> << b << endl;
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00088 cout << <span class="stringliteral">"a + b = "</span> << a + b << endl;
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00089 cout << <span class="stringliteral">"a - b = "</span> << a - b << endl;
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00090 cout << <span class="stringliteral">"b - a = "</span> << b - a << endl;
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00091 cout << <span class="stringliteral">"-a = "</span> << -a << endl;
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00092 cout << <span class="stringliteral">"a * b = "</span> << a * b << endl;
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00093 cout << <span class="stringliteral">"b/(a+1) = "</span> << b / (a + 1.0) << endl;
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00094 cout << <span class="stringliteral">"b * a = "</span> << b * a << endl;
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00095
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00096 cout << <span class="stringliteral">"b / a = "</span> << b/a << endl;
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00097
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00098 cout << <span class="stringliteral">"cos(a) = "</span> << cos(a) << endl;
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00099 cout << <span class="stringliteral">"cos(b) = "</span> << cos(b) << endl;
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00100
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00101 cout << <span class="stringliteral">"log(b) = "</span> << log(b) << endl;
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00102
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00103 cout << <span class="stringliteral">"sqrt(b) = "</span> << sqrt(b) << endl;
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00104 cout << <span class="stringliteral">"sqrt(a) = "</span> << sqrt(a) << endl;
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00105 cout << <span class="stringliteral">"sqr(b) = "</span> << sqr(b) << endl;
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00106
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00107 cout << <span class="stringliteral">"exp(b*a)= "</span> << exp(b*a) << endl;
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00108
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00109 cout << <span class="stringliteral">"atan(a) = "</span> << atan(a) << endl;
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00110 cout << <span class="stringliteral">"cosh(b) = "</span> << cosh(b) << endl;
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00111
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00112 }
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00113 <span class="preprocessor">#endif</span>
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00114 <span class="preprocessor"></span>
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00115 <span class="preprocessor">#endif</span>
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</pre></div><hr size="1"><address style="align: right;"><small>Generated on Thu Oct 19 05:06:40 2006 for EO by
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<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.3.9.1 </small></address>
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