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26<div class="titlepage"><div><div><h3 class="title">
27<a name="boost_multiprecision.tut.floats"></a><a class="link" href="floats.html" title="Floating-point Types">Floating-point Types</a>
28</h3></div></div></div>
29<div class="toc"><dl class="toc">
30<dt><span class="section"><a href="floats/cpp_bin_float.html">cpp_bin_float</a></span></dt>
31<dt><span class="section"><a href="floats/cpp_dec_float.html">cpp_dec_float</a></span></dt>
32<dt><span class="section"><a href="floats/gmp_float.html">gmp_float</a></span></dt>
33<dt><span class="section"><a href="floats/mpfr_float.html">mpfr_float</a></span></dt>
34<dt><span class="section"><a href="floats/float128.html">float128</a></span></dt>
35<dt><span class="section"><a href="floats/fp_eg.html">Examples</a></span></dt>
36<dd><dl>
37<dt><span class="section"><a href="floats/fp_eg/aos.html">Area of
38          Circle</a></span></dt>
39<dt><span class="section"><a href="floats/fp_eg/caveats.html">Drop-in
40          Caveats</a></span></dt>
41<dt><span class="section"><a href="floats/fp_eg/jel.html">Defining
42          a Special Function.</a></span></dt>
43<dt><span class="section"><a href="floats/fp_eg/nd.html">Calculating
44          a Derivative</a></span></dt>
45<dt><span class="section"><a href="floats/fp_eg/gi.html">Calculating
46          an Integral</a></span></dt>
47<dt><span class="section"><a href="floats/fp_eg/poly_eg.html">Polynomial
48          Evaluation</a></span></dt>
49<dt><span class="section"><a href="floats/fp_eg/variable_precision.html">Variable-Precision
50          Newton Evaluation</a></span></dt>
51<dt><span class="section"><a href="floats/fp_eg/gauss_lagerre_quadrature.html">Gauss-Laguerre
52          quadrature</a></span></dt>
53</dl></dd>
54</dl></div>
55<p>
56        The following back-ends provide floating-point arithmetic:
57      </p>
58<div class="informaltable"><table class="table">
59<colgroup>
60<col>
61<col>
62<col>
63<col>
64<col>
65<col>
66</colgroup>
67<thead><tr>
68<th>
69                <p>
70                  Backend Type
71                </p>
72              </th>
73<th>
74                <p>
75                  Header
76                </p>
77              </th>
78<th>
79                <p>
80                  Radix
81                </p>
82              </th>
83<th>
84                <p>
85                  Dependencies
86                </p>
87              </th>
88<th>
89                <p>
90                  Pros
91                </p>
92              </th>
93<th>
94                <p>
95                  Cons
96                </p>
97              </th>
98</tr></thead>
99<tbody>
100<tr>
101<td>
102                <p>
103                  <code class="computeroutput"><span class="identifier">cpp_bin_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
104                </p>
105              </td>
106<td>
107                <p>
108                  boost/multiprecision/cpp_bin_float.hpp
109                </p>
110              </td>
111<td>
112                <p>
113                  2
114                </p>
115              </td>
116<td>
117                <p>
118                  None
119                </p>
120              </td>
121<td>
122                <p>
123                  Header only, all C++ implementation. Boost licence.
124                </p>
125              </td>
126<td>
127                <p>
128                  Approximately 2x slower than the <a href="http://www.mpfr.org" target="_top">MPFR</a>
129                  or <a href="http://gmplib.org" target="_top">GMP</a> libraries.
130                </p>
131              </td>
132</tr>
133<tr>
134<td>
135                <p>
136                  <code class="computeroutput"><span class="identifier">cpp_dec_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
137                </p>
138              </td>
139<td>
140                <p>
141                  boost/multiprecision/cpp_dec_float.hpp
142                </p>
143              </td>
144<td>
145                <p>
146                  10
147                </p>
148              </td>
149<td>
150                <p>
151                  None
152                </p>
153              </td>
154<td>
155                <p>
156                  Header only, all C++ implementation. Boost licence.
157                </p>
158              </td>
159<td>
160                <p>
161                  Approximately 2x slower than the <a href="http://www.mpfr.org" target="_top">MPFR</a>
162                  or <a href="http://gmplib.org" target="_top">GMP</a> libraries.
163                </p>
164              </td>
165</tr>
166<tr>
167<td>
168                <p>
169                  <code class="computeroutput"><span class="identifier">mpf_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
170                </p>
171              </td>
172<td>
173                <p>
174                  boost/multiprecision/gmp.hpp
175                </p>
176              </td>
177<td>
178                <p>
179                  2
180                </p>
181              </td>
182<td>
183                <p>
184                  <a href="http://gmplib.org" target="_top">GMP</a>
185                </p>
186              </td>
187<td>
188                <p>
189                  Very fast and efficient back-end.
190                </p>
191              </td>
192<td>
193                <p>
194                  Dependency on GNU licensed <a href="http://gmplib.org" target="_top">GMP</a>
195                  library.
196                </p>
197              </td>
198</tr>
199<tr>
200<td>
201                <p>
202                  <code class="computeroutput"><span class="identifier">mpfr_float</span><span class="special">&lt;</span><span class="identifier">N</span><span class="special">&gt;</span></code>
203                </p>
204              </td>
205<td>
206                <p>
207                  boost/multiprecision/mpfr.hpp
208                </p>
209              </td>
210<td>
211                <p>
212                  2
213                </p>
214              </td>
215<td>
216                <p>
217                  <a href="http://gmplib.org" target="_top">GMP</a> and <a href="http://www.mpfr.org" target="_top">MPFR</a>
218                </p>
219              </td>
220<td>
221                <p>
222                  Very fast and efficient back-end, with its own standard library
223                  implementation.
224                </p>
225              </td>
226<td>
227                <p>
228                  Dependency on GNU licensed <a href="http://gmplib.org" target="_top">GMP</a>
229                  and <a href="http://www.mpfr.org" target="_top">MPFR</a> libraries.
230                </p>
231              </td>
232</tr>
233<tr>
234<td>
235                <p>
236                  <code class="computeroutput"><span class="identifier">float128</span></code>
237                </p>
238              </td>
239<td>
240                <p>
241                  boost/multiprecision/float128.hpp
242                </p>
243              </td>
244<td>
245                <p>
246                  2
247                </p>
248              </td>
249<td>
250                <p>
251                  Either <a href="http://gcc.gnu.org/onlinedocs/libquadmath/" target="_top">libquadmath</a>
252                  or the Intel C++ Math library.
253                </p>
254              </td>
255<td>
256                <p>
257                  Very fast and efficient back-end for 128-bit floating-point values
258                  (113-bit mantissa, equivalent to FORTRAN's QUAD real)
259                </p>
260              </td>
261<td>
262                <p>
263                  Depends on the compiler being either recent GCC or Intel C++ versions.
264                </p>
265              </td>
266</tr>
267</tbody>
268</table></div>
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272<td align="right"><div class="copyright-footer">Copyright © 2002-2020 John
273      Maddock and Christopher Kormanyos<p>
274        Distributed under the Boost Software License, Version 1.0. (See accompanying
275        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>)
276      </p>
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