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1 | <html> |
| 2 | <head> | |
| 3 | <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> | |
| 4 | <title>Rational Number Types</title> | |
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| 24 | </div> | |
| 25 | <div class="section"> | |
| 26 | <div class="titlepage"><div><div><h3 class="title"> | |
| 27 | <a name="boost_multiprecision.tut.rational"></a><a class="link" href="rational.html" title="Rational Number Types">Rational Number Types</a> | |
| 28 | </h3></div></div></div> | |
| 29 | <div class="toc"><dl> | |
| 30 | <dt><span class="section"><a href="rational/cpp_rational.html">cpp_rational</a></span></dt> | |
| 31 | <dt><span class="section"><a href="rational/gmp_rational.html">gmp_rational</a></span></dt> | |
| 32 | <dt><span class="section"><a href="rational/tommath_rational.html">tommath_rational</a></span></dt> | |
| 33 | <dt><span class="section"><a href="rational/br.html">Use With Boost.Rational</a></span></dt> | |
| 34 | <dt><span class="section"><a href="rational/rational_adaptor.html">rational_adaptor</a></span></dt> | |
| 35 | </dl></div> | |
| 36 | <p> | |
| 37 | The following back-ends provide rational number arithmetic: | |
| 38 | </p> | |
| 39 | <div class="informaltable"><table class="table"> | |
| 40 | <colgroup> | |
| 41 | <col> | |
| 42 | <col> | |
| 43 | <col> | |
| 44 | <col> | |
| 45 | <col> | |
| 46 | <col> | |
| 47 | </colgroup> | |
| 48 | <thead><tr> | |
| 49 | <th> | |
| 50 | <p> | |
| 51 | Backend Type | |
| 52 | </p> | |
| 53 | </th> | |
| 54 | <th> | |
| 55 | <p> | |
| 56 | Header | |
| 57 | </p> | |
| 58 | </th> | |
| 59 | <th> | |
| 60 | <p> | |
| 61 | Radix | |
| 62 | </p> | |
| 63 | </th> | |
| 64 | <th> | |
| 65 | <p> | |
| 66 | Dependencies | |
| 67 | </p> | |
| 68 | </th> | |
| 69 | <th> | |
| 70 | <p> | |
| 71 | Pros | |
| 72 | </p> | |
| 73 | </th> | |
| 74 | <th> | |
| 75 | <p> | |
| 76 | Cons | |
| 77 | </p> | |
| 78 | </th> | |
| 79 | </tr></thead> | |
| 80 | <tbody> | |
| 81 | <tr> | |
| 82 | <td> | |
| 83 | <p> | |
| 84 | <code class="computeroutput"><span class="identifier">cpp_rational</span></code> | |
| 85 | </p> | |
| 86 | </td> | |
| 87 | <td> | |
| 88 | <p> | |
| 89 | boost/multiprecision/cpp_int.hpp | |
| 90 | </p> | |
| 91 | </td> | |
| 92 | <td> | |
| 93 | <p> | |
| 94 | 2 | |
| 95 | </p> | |
| 96 | </td> | |
| 97 | <td> | |
| 98 | <p> | |
| 99 | None | |
| 100 | </p> | |
| 101 | </td> | |
| 102 | <td> | |
| 103 | <p> | |
| 104 | An all C++ Boost-licensed implementation. | |
| 105 | </p> | |
| 106 | </td> | |
| 107 | <td> | |
| 108 | <p> | |
| 109 | Slower than <a href="http://gmplib.org" target="_top">GMP</a>. | |
| 110 | </p> | |
| 111 | </td> | |
| 112 | </tr> | |
| 113 | <tr> | |
| 114 | <td> | |
| 115 | <p> | |
| 116 | <code class="computeroutput"><span class="identifier">gmp_rational</span></code> | |
| 117 | </p> | |
| 118 | </td> | |
| 119 | <td> | |
| 120 | <p> | |
| 121 | boost/multiprecision/gmp.hpp | |
| 122 | </p> | |
| 123 | </td> | |
| 124 | <td> | |
| 125 | <p> | |
| 126 | 2 | |
| 127 | </p> | |
| 128 | </td> | |
| 129 | <td> | |
| 130 | <p> | |
| 131 | <a href="http://gmplib.org" target="_top">GMP</a> | |
| 132 | </p> | |
| 133 | </td> | |
| 134 | <td> | |
| 135 | <p> | |
| 136 | Very fast and efficient back-end. | |
| 137 | </p> | |
| 138 | </td> | |
| 139 | <td> | |
| 140 | <p> | |
| 141 | Dependency on GNU licensed <a href="http://gmplib.org" target="_top">GMP</a> | |
| 142 | library. | |
| 143 | </p> | |
| 144 | </td> | |
| 145 | </tr> | |
| 146 | <tr> | |
| 147 | <td> | |
| 148 | <p> | |
| 149 | <code class="computeroutput"><span class="identifier">tommath_rational</span></code> | |
| 150 | </p> | |
| 151 | </td> | |
| 152 | <td> | |
| 153 | <p> | |
| 154 | boost/multiprecision/tommath.hpp | |
| 155 | </p> | |
| 156 | </td> | |
| 157 | <td> | |
| 158 | <p> | |
| 159 | 2 | |
| 160 | </p> | |
| 161 | </td> | |
| 162 | <td> | |
| 163 | <p> | |
| 164 | <a href="http://libtom.org/?page=features&newsitems=5&whatfile=ltm" target="_top">libtommath</a> | |
| 165 | </p> | |
| 166 | </td> | |
| 167 | <td> | |
| 168 | <p> | |
| 169 | All C/C++ implementation that's Boost Software Licence compatible. | |
| 170 | </p> | |
| 171 | </td> | |
| 172 | <td> | |
| 173 | <p> | |
| 174 | Slower than <a href="http://gmplib.org" target="_top">GMP</a>. | |
| 175 | </p> | |
| 176 | </td> | |
| 177 | </tr> | |
| 178 | <tr> | |
| 179 | <td> | |
| 180 | <p> | |
| 181 | <code class="computeroutput"><span class="identifier">rational_adaptor</span></code> | |
| 182 | </p> | |
| 183 | </td> | |
| 184 | <td> | |
| 185 | <p> | |
| 186 | boost/multiprecision/rational_adaptor.hpp | |
| 187 | </p> | |
| 188 | </td> | |
| 189 | <td> | |
| 190 | <p> | |
| 191 | N/A | |
| 192 | </p> | |
| 193 | </td> | |
| 194 | <td> | |
| 195 | <p> | |
| 196 | none | |
| 197 | </p> | |
| 198 | </td> | |
| 199 | <td> | |
| 200 | <p> | |
| 201 | All C++ adaptor that allows any integer back-end type to be used | |
| 202 | as a rational type. | |
| 203 | </p> | |
| 204 | </td> | |
| 205 | <td> | |
| 206 | <p> | |
| 207 | Requires an underlying integer back-end type. | |
| 208 | </p> | |
| 209 | </td> | |
| 210 | </tr> | |
| 211 | <tr> | |
| 212 | <td> | |
| 213 | <p> | |
| 214 | <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span></code> | |
| 215 | </p> | |
| 216 | </td> | |
| 217 | <td> | |
| 218 | <p> | |
| 219 | boost/rational.hpp | |
| 220 | </p> | |
| 221 | </td> | |
| 222 | <td> | |
| 223 | <p> | |
| 224 | N/A | |
| 225 | </p> | |
| 226 | </td> | |
| 227 | <td> | |
| 228 | <p> | |
| 229 | None | |
| 230 | </p> | |
| 231 | </td> | |
| 232 | <td> | |
| 233 | <p> | |
| 234 | A C++ rational number type that can used with any <code class="computeroutput"><span class="identifier">number</span></code> integer type. | |
| 235 | </p> | |
| 236 | </td> | |
| 237 | <td> | |
| 238 | <p> | |
| 239 | The expression templates used by <code class="computeroutput"><span class="identifier">number</span></code> | |
| 240 | end up being "hidden" inside <code class="computeroutput"><span class="identifier">boost</span><span class="special">::</span><span class="identifier">rational</span></code>: | |
| 241 | performance may well suffer as a result. | |
| 242 | </p> | |
| 243 | </td> | |
| 244 | </tr> | |
| 245 | </tbody> | |
| 246 | </table></div> | |
| 247 | </div> | |
| 248 | <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> | |
| 249 | <td align="left"></td> | |
| 250 | <td align="right"><div class="copyright-footer">Copyright © 2002-2013 John Maddock and Christopher Kormanyos<p> | |
| 251 | Distributed under the Boost Software License, Version 1.0. (See accompanying | |
| 252 | file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>) | |
| 253 | </p> | |
| 254 | </div></td> | |
| 255 | </tr></table> | |
| 256 | <hr> | |
| 257 | <div class="spirit-nav"> | |
| 258 | <a accesskey="p" href="interval/mpfi.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../tut.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="rational/cpp_rational.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> | |
| 259 | </div> | |
| 260 | </body> | |
| 261 | </html> |