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diff --git a/doc/html/boost_random/reference.html b/doc/html/boost_random/reference.html new file mode 100755 index 0000000000..2c4bcc988d --- /dev/null +++ b/doc/html/boost_random/reference.html @@ -0,0 +1,2739 @@ +<html> +<head> +<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> +<title>Reference</title> +<link rel="stylesheet" href="../../../doc/src/boostbook.css" type="text/css"> +<meta name="generator" content="DocBook XSL Stylesheets V1.76.1"> +<link rel="home" href="../index.html" title="The Boost C++ Libraries BoostBook Documentation Subset"> +<link rel="up" href="../boost_random.html" title="Chapter 21. Boost.Random"> +<link rel="prev" href="tutorial.html" title="Tutorial"> +<link rel="next" href="../boost/random/additive_combine_engine.html" title="Class template additive_combine_engine"> +</head> +<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> +<table cellpadding="2" width="100%"><tr> +<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="../../../boost.png"></td> +<td align="center"><a href="../../../index.html">Home</a></td> +<td align="center"><a href="../../../libs/libraries.htm">Libraries</a></td> +<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> +<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> +<td align="center"><a href="../../../more/index.htm">More</a></td> +</tr></table> +<hr> +<div class="spirit-nav"> +<a accesskey="p" href="tutorial.html"><img src="../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../boost_random.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="../boost/random/additive_combine_engine.html"><img src="../../../doc/src/images/next.png" alt="Next"></a> +</div> +<div class="section"> +<div class="titlepage"><div><div><h2 class="title" style="clear: both"> +<a name="boost_random.reference"></a><a class="link" href="reference.html" title="Reference">Reference</a> +</h2></div></div></div> +<div class="toc"><dl> +<dt><span class="section"><a href="reference.html#boost_random.reference.concepts">Concepts</a></span></dt> +<dt><span class="section"><a href="reference.html#boost_random.reference.generators">Generators</a></span></dt> +<dt><span class="section"><a href="reference.html#boost_random.reference.distributions">Distributions</a></span></dt> +<dt><span class="section"><a href="reference.html#headers">Headers</a></span></dt> +</dl></div> +<div class="section"> +<div class="titlepage"><div><div><h3 class="title"> +<a name="boost_random.reference.concepts"></a><a class="link" href="reference.html#boost_random.reference.concepts" title="Concepts">Concepts</a> +</h3></div></div></div> +<div class="toc"><dl> +<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.introduction">Introduction</a></span></dt> +<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.uniform_random_number_generator">Uniform + Random Number Generator</a></span></dt> +<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.non_deterministic_uniform_random_number_generator">Non-deterministic + Uniform Random Number Generator</a></span></dt> +<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator">Pseudo-Random + Number Generator</a></span></dt> +<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.random_distribution">Random + Distribution</a></span></dt> +</dl></div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="boost_random.reference.concepts.introduction"></a><a class="link" href="reference.html#boost_random.reference.concepts.introduction" title="Introduction">Introduction</a> +</h4></div></div></div> +<p> + Random numbers are required in a number of different problem domains, such + as + </p> +<div class="itemizedlist"><ul class="itemizedlist" type="disc"> +<li class="listitem"> + numerics (simulation, Monte-Carlo integration) + </li> +<li class="listitem"> + games (non-deterministic enemy behavior) + </li> +<li class="listitem"> + security (key generation) + </li> +<li class="listitem"> + testing (random coverage in white-box tests) + </li> +</ul></div> +<p> + The Boost Random Number Generator Library provides a framework for random + number generators with well-defined properties so that the generators can + be used in the demanding numerics and security domains. For a general introduction + to random numbers in numerics, see + </p> +<div class="blockquote"><blockquote class="blockquote"><p> + "Numerical Recipes in C: The art of scientific computing", + William H. Press, Saul A. Teukolsky, William A. Vetterling, Brian P. + Flannery, 2nd ed., 1992, pp. 274-328 + </p></blockquote></div> +<p> + Depending on the requirements of the problem domain, different variations + of random number generators are appropriate: + </p> +<div class="itemizedlist"><ul class="itemizedlist" type="disc"> +<li class="listitem"> + non-deterministic random number generator + </li> +<li class="listitem"> + pseudo-random number generator + </li> +<li class="listitem"> + quasi-random number generator + </li> +</ul></div> +<p> + All variations have some properties in common, the concepts (in the STL + sense) is called <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a>. + This concept will be defined in a subsequent section. + </p> +<p> + The goals for this library are the following: + </p> +<div class="itemizedlist"><ul class="itemizedlist" type="disc"> +<li class="listitem"> + allow easy integration of third-party random-number generators + </li> +<li class="listitem"> + provide easy-to-use front-end classes which model popular distributions + </li> +<li class="listitem"> + provide maximum efficiency + </li> +</ul></div> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="boost_random.reference.concepts.uniform_random_number_generator"></a><a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">Uniform + Random Number Generator</a> +</h4></div></div></div> +<p> + A uniform random number generator provides a sequence of random numbers + uniformly distributed on a given range. The range can be compile-time fixed + or available (only) after run-time construction of the object. + </p> +<p> + The <span class="emphasis"><em>tight lower bound</em></span> of some (finite) set S is the + (unique) member l in S, so that for all v in S, l <= v holds. Likewise, + the <span class="emphasis"><em>tight upper bound</em></span> of some (finite) set S is the + (unique) member u in S, so that for all v in S, v <= u holds. + </p> +<p> + In the following table, X denotes a number generator class returning objects + of type T, and v is a const value of X. + </p> +<div class="table"> +<a name="boost_random.reference.concepts.uniform_random_number_generator.uniformrandomnumbergenerator_requirements"></a><p class="title"><b>Table 21.1. UniformRandomNumberGenerator requirements</b></p> +<div class="table-contents"><table class="table" summary="UniformRandomNumberGenerator requirements"> +<colgroup> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + expression + </p> + </th> +<th> + <p> + return type + </p> + </th> +<th> + <p> + pre/post-condition + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">X</span><span class="special">::</span><span class="identifier">result_type</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="identifier">T</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special"><</span><span class="identifier">T</span><span class="special">>::</span><span class="identifier">is_specialized</span></code> is <code class="computeroutput"><span class="keyword">true</span></code>, <code class="computeroutput"><span class="identifier">T</span></code> + is <a href="../../../doc/html/LessThanComparable.html" target="_top">LessThanComparable</a> + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">u</span><span class="special">.</span><span class="keyword">operator</span><span class="special">()()</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="identifier">T</span></code> + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">v</span><span class="special">.</span><span class="identifier">min</span><span class="special">()</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="identifier">T</span></code> + </p> + </td> +<td> + <p> + tight lower bound on the set of all values returned by <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code>. + The return value of this function shall not change during the + lifetime of the object. + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">v</span><span class="special">.</span><span class="identifier">max</span><span class="special">()</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="identifier">T</span></code> + </p> + </td> +<td> + <p> + if <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">numeric_limits</span><span class="special"><</span><span class="identifier">T</span><span class="special">>::</span><span class="identifier">is_integer</span></code>, tight upper bound + on the set of all values returned by <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code>, otherwise, the smallest representable + number larger than the tight upper bound on the set of all values + returned by <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code>. In any case, the return value + of this function shall not change during the lifetime of the + object. + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"><p> + The member functions <code class="computeroutput"><span class="identifier">min</span></code>, + <code class="computeroutput"><span class="identifier">max</span></code>, and <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code> + shall have amortized constant time complexity. + </p> +<div class="note"><table border="0" summary="Note"> +<tr> +<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td> +<th align="left">Note</th> +</tr> +<tr><td align="left" valign="top"> +<p> + For integer generators (i.e. integer <code class="computeroutput"><span class="identifier">T</span></code>), + the generated values <code class="computeroutput"><span class="identifier">x</span></code> + fulfill <code class="computeroutput"><span class="identifier">min</span><span class="special">()</span> + <span class="special"><=</span> <span class="identifier">x</span> + <span class="special"><=</span> <span class="identifier">max</span><span class="special">()</span></code>, for non-integer generators (i.e. non-integer + <code class="computeroutput"><span class="identifier">T</span></code>), the generated values + <code class="computeroutput"><span class="identifier">x</span></code> fulfill <code class="computeroutput"><span class="identifier">min</span><span class="special">()</span> <span class="special"><=</span> <span class="identifier">x</span> <span class="special"><</span> <span class="identifier">max</span><span class="special">()</span></code>. + </p> +<p> + Rationale: The range description with min and max serves two purposes. + First, it allows scaling of the values to some canonical range, such + as [0..1). Second, it describes the significant bits of the values, which + may be relevant for further processing. + </p> +<p> + The range is a closed interval [min,max] for integers, because the underlying + type may not be able to represent the half-open interval [min,max+1). + It is a half-open interval [min, max) for non-integers, because this + is much more practical for borderline cases of continuous distributions. + </p> +</td></tr> +</table></div> +<div class="note"><table border="0" summary="Note"> +<tr> +<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td> +<th align="left">Note</th> +</tr> +<tr><td align="left" valign="top"> +<p> + The <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a> + concept does not require <code class="computeroutput"><span class="keyword">operator</span><span class="special">()(</span><span class="keyword">long</span><span class="special">)</span></code> and thus it does not fulfill the <code class="computeroutput"><span class="identifier">RandomNumberGenerator</span></code> (std:25.2.11 + [lib.alg.random.shuffle]) requirements. Use the <code class="computeroutput"><a class="link" href="../boost/random/random_number_generator.html" title="Class template random_number_generator">random_number_generator</a></code> + adapter for that. + </p> +<p> + Rationale: <code class="computeroutput"><span class="keyword">operator</span><span class="special">()(</span><span class="keyword">long</span><span class="special">)</span></code> + is not provided, because mapping the output of some generator with integer + range to a different integer range is not trivial. + </p> +</td></tr> +</table></div> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="boost_random.reference.concepts.non_deterministic_uniform_random_number_generator"></a><a class="link" href="reference.html#boost_random.reference.concepts.non_deterministic_uniform_random_number_generator" title="Non-deterministic Uniform Random Number Generator">Non-deterministic + Uniform Random Number Generator</a> +</h4></div></div></div> +<p> + A non-deterministic uniform random number generator is a <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a> + that is based on some stochastic process. Thus, it provides a sequence + of truly-random numbers. Examples for such processes are nuclear decay, + noise of a Zehner diode, tunneling of quantum particles, rolling a die, + drawing from an urn, and tossing a coin. Depending on the environment, + inter-arrival times of network packets or keyboard events may be close + approximations of stochastic processes. + </p> +<p> + The class <code class="computeroutput"><a class="link" href="../boost/random/random_device.html" title="Class random_device">random_device</a></code> + is a model for a non-deterministic random number generator. + </p> +<div class="note"><table border="0" summary="Note"> +<tr> +<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td> +<th align="left">Note</th> +</tr> +<tr><td align="left" valign="top"><p> + This type of random-number generator is useful for security applications, + where it is important to prevent an outside attacker from guessing the + numbers and thus obtaining your encryption or authentication key. Thus, + models of this concept should be cautious not to leak any information, + to the extent possible by the environment. For example, it might be advisable + to explicitly clear any temporary storage as soon as it is no longer + needed. + </p></td></tr> +</table></div> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="boost_random.reference.concepts.pseudo_random_number_generator"></a><a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">Pseudo-Random + Number Generator</a> +</h4></div></div></div> +<p> + A pseudo-random number generator is a <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a> + which provides a deterministic sequence of pseudo-random numbers, based + on some algorithm and internal state. <code class="computeroutput"><a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">Linear + congruential</a></code> and <code class="computeroutput"><a class="link" href="../boost/random/inversive_congruential__id1388053.html" title="Class template inversive_congruential_engine">inversive + congruential</a></code> generators are examples of such <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo-random + number generators</a>. Often, these generators are very sensitive to + their parameters. In order to prevent wrong implementations from being + used, an external testsuite should check that the generated sequence and + the validation value provided do indeed match. + </p> +<p> + Donald E. Knuth gives an extensive overview on pseudo-random number generation + in his book "The Art of Computer Programming, Vol. 2, 3rd edition, + Addison-Wesley, 1997". The descriptions for the specific generators + contain additional references. + </p> +<div class="note"><table border="0" summary="Note"> +<tr> +<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td> +<th align="left">Note</th> +</tr> +<tr><td align="left" valign="top"><p> + Because the state of a pseudo-random number generator is necessarily + finite, the sequence of numbers returned by the generator will loop eventually. + </p></td></tr> +</table></div> +<p> + In addition to the <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a> + requirements, a pseudo-random number generator has some additional requirements. + In the following table, <code class="computeroutput"><span class="identifier">X</span></code> + denotes a pseudo-random number generator class returning objects of type + <code class="computeroutput"><span class="identifier">T</span></code>, <code class="computeroutput"><span class="identifier">x</span></code> + is a value of <code class="computeroutput"><span class="identifier">T</span></code>, <code class="computeroutput"><span class="identifier">u</span></code> is a value of <code class="computeroutput"><span class="identifier">X</span></code>, + and <code class="computeroutput"><span class="identifier">v</span></code> is a const value + of <code class="computeroutput"><span class="identifier">X</span></code>. + </p> +<div class="table"> +<a name="boost_random.reference.concepts.pseudo_random_number_generator.pseudorandomnumbergenerator_requirements"></a><p class="title"><b>Table 21.2. PseudoRandomNumberGenerator requirements</b></p> +<div class="table-contents"><table class="table" summary="PseudoRandomNumberGenerator requirements"> +<colgroup> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + expression + </p> + </th> +<th> + <p> + return type + </p> + </th> +<th> + <p> + pre/post-condition + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">X</span><span class="special">()</span></code> + </p> + </td> +<td> + <p> + - + </p> + </td> +<td> + <p> + creates a generator in some implementation-defined state. Note: + Several generators thusly created may possibly produce dependent + or identical sequences of random numbers. + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">X</span><span class="special">(...)</span></code> + </p> + </td> +<td> + <p> + - + </p> + </td> +<td> + <p> + creates a generator with user-provided state; the implementation + shall specify the constructor argument(s) + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">u</span><span class="special">.</span><span class="identifier">seed</span><span class="special">(...)</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="keyword">void</span></code> + </p> + </td> +<td> + <p> + sets the current state according to the argument(s); at least + functions with the same signature as the non-default constructor(s) + shall be provided. + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"><div class="note"><table border="0" summary="Note"> +<tr> +<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td> +<th align="left">Note</th> +</tr> +<tr><td align="left" valign="top"><p> + The seed member function is similar to the assign member function in + STL containers. However, the naming did not seem appropriate. + </p></td></tr> +</table></div> +<p> + Classes which model a pseudo-random number generator shall also model + <a href="../../../doc/html/EqualityComparable.html" target="_top">EqualityComparable</a>, + i.e. implement <code class="computeroutput"><span class="keyword">operator</span><span class="special">==</span></code>. + Two pseudo-random number generators are defined to be <span class="emphasis"><em>equivalent</em></span> + if they both return an identical sequence of numbers starting from a given + state. + </p> +<p> + Classes which model a pseudo-random number generator should also model + the Streamable concept, i.e. implement <code class="computeroutput"><span class="keyword">operator</span><span class="special"><<</span></code> and <code class="computeroutput"><span class="keyword">operator</span><span class="special">>></span></code>. If so, <code class="computeroutput"><span class="keyword">operator</span><span class="special"><<</span></code> writes all current state of the + pseudo-random number generator to the given <code class="computeroutput"><span class="identifier">ostream</span></code> + so that <code class="computeroutput"><span class="keyword">operator</span><span class="special">>></span></code> + can restore the state at a later time. The state shall be written in a + platform-independent manner, but it is assumed that the <code class="computeroutput"><span class="identifier">locales</span></code> + used for writing and reading be the same. The pseudo-random number generator + with the restored state and the original at the just-written state shall + be equivalent. + </p> +<p> + Classes which model a pseudo-random number generator should also model + the <a href="../../../doc/html/CopyConstructible.html" target="_top">CopyConstructible</a> + and <a href="../../../doc/html/Assignable.html" target="_top">Assignable</a> concepts. + However, note that the sequences of the original and the copy are strongly + correlated (in fact, they are identical), which may make them unsuitable + for some problem domains. Thus, copying pseudo-random number generators + is discouraged; they should always be passed by (non-const) reference. + </p> +<p> + The classes <code class="computeroutput"><a class="link" href="../boost/random/rand48.html" title="Class rand48">rand48</a></code>, + <code class="computeroutput"><a class="link" href="../boost/random/minstd_rand.html" title="Type definition minstd_rand">minstd_rand</a></code>, and + <code class="computeroutput"><a class="link" href="../boost/random/mt19937.html" title="Type definition mt19937">mt19937</a></code> are models + for a pseudo-random number generator. + </p> +<div class="note"><table border="0" summary="Note"> +<tr> +<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td> +<th align="left">Note</th> +</tr> +<tr><td align="left" valign="top"><p> + This type of random-number generator is useful for numerics, games and + testing. The non-zero arguments constructor(s) and the <code class="computeroutput"><span class="identifier">seed</span><span class="special">()</span></code> + member function(s) allow for a user-provided state to be installed in + the generator. This is useful for debugging Monte-Carlo algorithms and + analyzing particular test scenarios. The Streamable concept allows to + save/restore the state of the generator, for example to re-run a test + suite at a later time. + </p></td></tr> +</table></div> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="boost_random.reference.concepts.random_distribution"></a><a class="link" href="reference.html#boost_random.reference.concepts.random_distribution" title="Random Distribution">Random + Distribution</a> +</h4></div></div></div> +<p> + A random distribution produces random numbers distributed according to + some distribution, given uniformly distributed random values as input. + In the following table, <code class="computeroutput"><span class="identifier">X</span></code> + denotes a random distribution class returning objects of type <code class="computeroutput"><span class="identifier">T</span></code>, <code class="computeroutput"><span class="identifier">u</span></code> + is a value of <code class="computeroutput"><span class="identifier">X</span></code>, <code class="computeroutput"><span class="identifier">x</span></code> is a (possibly const) value of <code class="computeroutput"><span class="identifier">X</span></code>, and <code class="computeroutput"><span class="identifier">e</span></code> + is an lvalue of an arbitrary type that meets the requirements of a <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a>, + returning values of type <code class="computeroutput"><span class="identifier">U</span></code>. + </p> +<div class="table"> +<a name="boost_random.reference.concepts.random_distribution.random_distribution_requirements__in_addition_to_copyconstructible__and_assignable_"></a><p class="title"><b>Table 21.3. Random distribution requirements (in addition to CopyConstructible, + and Assignable)</b></p> +<div class="table-contents"><table class="table" summary="Random distribution requirements (in addition to CopyConstructible, + and Assignable)"> +<colgroup> +<col> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + expression + </p> + </th> +<th> + <p> + return type + </p> + </th> +<th> + <p> + pre/post-condition + </p> + </th> +<th> + <p> + complexity + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">X</span><span class="special">::</span><span class="identifier">result_type</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="identifier">T</span></code> + </p> + </td> +<td> + <p> + - + </p> + </td> +<td> + <p> + compile-time + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">u</span><span class="special">.</span><span class="identifier">reset</span><span class="special">()</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="keyword">void</span></code> + </p> + </td> +<td> + <p> + subsequent uses of <code class="computeroutput"><span class="identifier">u</span></code> + do not depend on values produced by any engine prior to invoking + <code class="computeroutput"><span class="identifier">reset</span></code>. + </p> + </td> +<td> + <p> + constant + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">u</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="identifier">T</span></code> + </p> + </td> +<td> + <p> + the sequence of numbers returned by successive invocations with + the same object <code class="computeroutput"><span class="identifier">e</span></code> + is randomly distributed with some probability density function + <code class="computeroutput"><span class="identifier">p</span><span class="special">(</span><span class="identifier">x</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + amortized constant number of invocations of <code class="computeroutput"><span class="identifier">e</span></code> + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">os</span> <span class="special"><<</span> + <span class="identifier">x</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">ostream</span><span class="special">&</span></code> + </p> + </td> +<td> + <p> + writes a textual representation for the parameters and additional + internal data of the distribution <code class="computeroutput"><span class="identifier">x</span></code> + to <code class="computeroutput"><span class="identifier">os</span></code>. post: + The <code class="computeroutput"><span class="identifier">os</span><span class="special">.</span><span class="identifier">fmtflags</span></code> and fill character + are unchanged. + </p> + </td> +<td> + <p> + O(size of state) + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><span class="identifier">is</span> <span class="special">>></span> + <span class="identifier">u</span></code> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">istream</span><span class="special">&</span></code> + </p> + </td> +<td> + <p> + restores the parameters and additional internal data of the distribution + <code class="computeroutput"><span class="identifier">u</span></code>. pre: <code class="computeroutput"><span class="identifier">is</span></code> provides a textual representation + that was previously written by <code class="computeroutput"><span class="keyword">operator</span><span class="special"><<</span></code> post: The <code class="computeroutput"><span class="identifier">is</span><span class="special">.</span><span class="identifier">fmtflags</span></code> are unchanged. + </p> + </td> +<td> + <p> + O(size of state) + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"><p> + Additional requirements: The sequence of numbers produced by repeated invocations + of <code class="computeroutput"><span class="identifier">x</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code> does + not change whether or not <code class="computeroutput"><span class="identifier">os</span> + <span class="special"><<</span> <span class="identifier">x</span></code> + is invoked between any of the invocations <code class="computeroutput"><span class="identifier">x</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code>. + If a textual representation is written using <code class="computeroutput"><span class="identifier">os</span> + <span class="special"><<</span> <span class="identifier">x</span></code> + and that representation is restored into the same or a different object + <code class="computeroutput"><span class="identifier">y</span></code> of the same type using + <code class="computeroutput"><span class="identifier">is</span> <span class="special">>></span> + <span class="identifier">y</span></code>, repeated invocations of <code class="computeroutput"><span class="identifier">y</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code> produce the same sequence of random numbers + as would repeated invocations of <code class="computeroutput"><span class="identifier">x</span><span class="special">(</span><span class="identifier">e</span><span class="special">)</span></code>. + </p> +</div> +</div> +<div class="section"> +<div class="titlepage"><div><div><h3 class="title"> +<a name="boost_random.reference.generators"></a><a class="link" href="reference.html#boost_random.reference.generators" title="Generators">Generators</a> +</h3></div></div></div> +<p> + This library provides several <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo-random + number generators</a>. The quality of a <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo + random number generator</a> crucially depends on both the algorithm and + its parameters. This library implements the algorithms as class templates + with template value parameters, hidden in <code class="computeroutput"><span class="keyword">namespace</span> + <span class="identifier">boost</span><span class="special">::</span><span class="identifier">random</span></code>. Any particular choice of parameters + is represented as the appropriately specializing <code class="computeroutput"><span class="keyword">typedef</span></code> + in <code class="computeroutput"><span class="keyword">namespace</span> <span class="identifier">boost</span></code>. + </p> +<p> + <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">Pseudo-random + number generators</a> should not be constructed (initialized) frequently + during program execution, for two reasons. First, initialization requires + full initialization of the internal state of the generator. Thus, generators + with a lot of internal state (see below) are costly to initialize. Second, + initialization always requires some value used as a "seed" for + the generated sequence. It is usually difficult to obtain several good seed + values. For example, one method to obtain a seed is to determine the current + time at the highest resolution available, e.g. microseconds or nanoseconds. + When the <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo-random + number generator</a> is initialized again with the then-current time as + the seed, it is likely that this is at a near-constant (non-random) distance + from the time given as the seed for first initialization. The distance could + even be zero if the resolution of the clock is low, thus the generator re-iterates + the same sequence of random numbers. For some applications, this is inappropriate. + </p> +<p> + Note that all <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">pseudo-random + number generators</a> described below are <a href="../../../doc/html/CopyConstructible.html" target="_top">CopyConstructible</a> + and <a href="../../../doc/html/Assignable.html" target="_top">Assignable</a>. Copying + or assigning a generator will copy all its internal state, so the original + and the copy will generate the identical sequence of random numbers. Often, + such behavior is not wanted. In particular, beware of the algorithms from + the standard library such as <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">generate</span></code>. + They take a functor argument by value, thereby invoking the copy constructor + when called. + </p> +<p> + The following table gives an overview of some characteristics of the generators. + The cycle length is a rough estimate of the quality of the generator; the + approximate relative speed is a performance measure, higher numbers mean + faster random number generation. + </p> +<div class="table"> +<a name="boost_random.reference.generators.generators"></a><p class="title"><b>Table 21.4. generators</b></p> +<div class="table-contents"><table class="table" summary="generators"> +<colgroup> +<col> +<col> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + generator + </p> + </th> +<th> + <p> + length of cycle + </p> + </th> +<th> + <p> + approx. memory requirements + </p> + </th> +<th> + <p> + approx. speed compared to fastest + </p> + </th> +<th> + <p> + comment + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/minstd_rand0.html" title="Type definition minstd_rand0">minstd_rand0</a></code> + </p> + </td> +<td> + <p> + 2<sup>31</sup>-2 + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 16% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/minstd_rand.html" title="Type definition minstd_rand">minstd_rand</a></code> + </p> + </td> +<td> + <p> + 2<sup>31</sup>-2 + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 16% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/rand48.html" title="Class rand48">rand48</a></code> + </p> + </td> +<td> + <p> + 2<sup>48</sup>-1 + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint64_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 64% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/ecuyer1988.html" title="Type definition ecuyer1988">ecuyer1988</a></code> + </p> + </td> +<td> + <p> + approx. 2<sup>61</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">2</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 7% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/knuth_b.html" title="Type definition knuth_b">knuth_b</a></code> + </p> + </td> +<td> + <p> + ? + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">257</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 12% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/kreutzer1986.html" title="Type definition kreutzer1986">kreutzer1986</a></code> + </p> + </td> +<td> + <p> + ? + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">1368</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 37% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/taus88.html" title="Type definition taus88">taus88</a></code> + </p> + </td> +<td> + <p> + ~2<sup>88</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">3</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 100% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/hellekalek1995.html" title="Type definition hellekalek1995">hellekalek1995</a></code> + </p> + </td> +<td> + <p> + 2<sup>31</sup>-1 + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 2% + </p> + </td> +<td> + <p> + good uniform distribution in several dimensions + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/mt11213b.html" title="Type definition mt11213b">mt11213b</a></code> + </p> + </td> +<td> + <p> + 2<sup>11213</sup>-1 + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">352</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 100% + </p> + </td> +<td> + <p> + good uniform distribution in up to 350 dimensions + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/mt19937.html" title="Type definition mt19937">mt19937</a></code> + </p> + </td> +<td> + <p> + 2<sup>19937</sup>-1 + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">625</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 93% + </p> + </td> +<td> + <p> + good uniform distribution in up to 623 dimensions + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="reference.html#boost.random.mt19937_64">mt19937_64</a></code> + </p> + </td> +<td> + <p> + 2<sup>19937</sup>-1 + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">312</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint64_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 38% + </p> + </td> +<td> + <p> + good uniform distribution in up to 311 dimensions + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci607.html" title="Type definition lagged_fibonacci607">lagged_fibonacci607</a></code> + </p> + </td> +<td> + <p> + ~2<sup>32000</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">607</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 59% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci1279.html" title="Type definition lagged_fibonacci1279">lagged_fibonacci1279</a></code> + </p> + </td> +<td> + <p> + ~2<sup>67000</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">1279</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 59% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci2281.html" title="Type definition lagged_fibonacci2281">lagged_fibonacci2281</a></code> + </p> + </td> +<td> + <p> + ~2<sup>120000</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">2281</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 61% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci3217.html" title="Type definition lagged_fibonacci3217">lagged_fibonacci3217</a></code> + </p> + </td> +<td> + <p> + ~2<sup>170000</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">3217</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 62% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci4423.html" title="Type definition lagged_fibonacci4423">lagged_fibonacci4423</a></code> + </p> + </td> +<td> + <p> + ~2<sup>230000</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">4423</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 59% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci9689.html" title="Type definition lagged_fibonacci9689">lagged_fibonacci9689</a></code> + </p> + </td> +<td> + <p> + ~2<sup>510000</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">9689</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 61% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci19937.html" title="Type definition lagged_fibonacci19937">lagged_fibonacci19937</a></code> + </p> + </td> +<td> + <p> + ~2<sup>1050000</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">19937</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 59% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci23209.html" title="Type definition lagged_fibonacci23209">lagged_fibonacci23209</a></code> + </p> + </td> +<td> + <p> + ~2<sup>1200000</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">23209</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 61% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lagged_fibonacci44497.html" title="Type definition lagged_fibonacci44497">lagged_fibonacci44497</a></code> + </p> + </td> +<td> + <p> + ~2<sup>2300000</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">44497</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 59% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/ranlux3.html" title="Type definition ranlux3">ranlux3</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">int</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 5% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/ranlux4.html" title="Type definition ranlux4">ranlux4</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">int</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 3% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/ranlux64_3.html" title="Type definition ranlux64_3">ranlux64_3</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int64_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 5% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/ranlux64_4.html" title="Type definition ranlux64_4">ranlux64_4</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">int64_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 3% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/ranlux3_01.html" title="Type definition ranlux3_01">ranlux3_01</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">float</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 5% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/ranlux4_01.html" title="Type definition ranlux4_01">ranlux4_01</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">float</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 3% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/ranlux64_3_01.html" title="Type definition ranlux64_3_01">ranlux64_3_01</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 5% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/ranlux64_4_01.html" title="Type definition ranlux64_4_01">ranlux64_4_01</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="keyword">double</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 3% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="reference.html#boost.random.ranlux24">ranlux24</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">24</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint32_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 5% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="reference.html#boost.random.ranlux48">ranlux48</a></code> + </p> + </td> +<td> + <p> + ~10<sup>171</sup> + </p> + </td> +<td> + <p> + <code class="computeroutput"><span class="number">12</span><span class="special">*</span><span class="keyword">sizeof</span><span class="special">(</span><span class="identifier">uint64_t</span><span class="special">)</span></code> + </p> + </td> +<td> + <p> + 3% + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"><p> + As observable from the table, there is generally a quality/performance/memory + trade-off to be decided upon when choosing a random-number generator. The + multitude of generators provided in this library allows the application programmer + to optimize the trade-off with regard to his application domain. Additionally, + employing several fundamentally different random number generators for a + given application of Monte Carlo simulation will improve the confidence in + the results. + </p> +<p> + If the names of the generators don't ring any bell and you have no idea which + generator to use, it is reasonable to employ <code class="computeroutput"><a class="link" href="../boost/random/mt19937.html" title="Type definition mt19937">mt19937</a></code> + for a start: It is fast and has acceptable quality. + </p> +<div class="note"><table border="0" summary="Note"> +<tr> +<td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../doc/src/images/note.png"></td> +<th align="left">Note</th> +</tr> +<tr><td align="left" valign="top"><p> + These random number generators are not intended for use in applications + where non-deterministic random numbers are required. See <code class="computeroutput"><a class="link" href="../boost/random/random_device.html" title="Class random_device">random_device</a></code> + for a choice of (hopefully) non-deterministic random number generators. + </p></td></tr> +</table></div> +</div> +<div class="section"> +<div class="titlepage"><div><div><h3 class="title"> +<a name="boost_random.reference.distributions"></a><a class="link" href="reference.html#boost_random.reference.distributions" title="Distributions">Distributions</a> +</h3></div></div></div> +<p> + In addition to the <a class="link" href="reference.html#boost_random.reference.generators" title="Generators">random + number generators</a>, this library provides distribution functions which + map one distribution (often a uniform distribution provided by some generator) + to another. + </p> +<p> + Usually, there are several possible implementations of any given mapping. + Often, there is a choice between using more space, more invocations of the + underlying source of random numbers, or more time-consuming arithmetic such + as trigonometric functions. This interface description does not mandate any + specific implementation. However, implementations which cannot reach certain + values of the specified distribution or otherwise do not converge statistically + to it are not acceptable. + </p> +<div class="table"> +<a name="boost_random.reference.distributions.uniform_distributions"></a><p class="title"><b>Table 21.5. Uniform Distributions</b></p> +<div class="table-contents"><table class="table" summary="Uniform Distributions"> +<colgroup> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + distribution + </p> + </th> +<th> + <p> + explanation + </p> + </th> +<th> + <p> + example + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/uniform_smallint.html" title="Class template uniform_smallint">uniform_smallint</a></code> + </p> + </td> +<td> + <p> + discrete uniform distribution on a small set of integers (much + smaller than the range of the underlying generator) + </p> + </td> +<td> + <p> + drawing from an urn + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/uniform_int_distribution.html" title="Class template uniform_int_distribution">uniform_int_distribution</a></code> + </p> + </td> +<td> + <p> + discrete uniform distribution on a set of integers; the underlying + generator may be called several times to gather enough randomness + for the output + </p> + </td> +<td> + <p> + drawing from an urn + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/uniform_01.html" title="Class template uniform_01">uniform_01</a></code> + </p> + </td> +<td> + <p> + continuous uniform distribution on the range [0,1); important basis + for other distributions + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/uniform_real_distribution.html" title="Class template uniform_real_distribution">uniform_real_distribution</a></code> + </p> + </td> +<td> + <p> + continuous uniform distribution on some range [min, max) of real + numbers + </p> + </td> +<td> + <p> + for the range [0, 2pi): randomly dropping a stick and measuring + its angle in radians (assuming the angle is uniformly distributed) + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"><div class="table"> +<a name="boost_random.reference.distributions.bernoulli_distributions"></a><p class="title"><b>Table 21.6. Bernoulli Distributions</b></p> +<div class="table-contents"><table class="table" summary="Bernoulli Distributions"> +<colgroup> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + distribution + </p> + </th> +<th> + <p> + explanation + </p> + </th> +<th> + <p> + example + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/bernoulli_distribution.html" title="Class template bernoulli_distribution">bernoulli_distribution</a></code> + </p> + </td> +<td> + <p> + Bernoulli experiment: discrete boolean valued distribution with + configurable probability + </p> + </td> +<td> + <p> + tossing a coin (p=0.5) + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a></code> + </p> + </td> +<td> + <p> + counts outcomes of repeated Bernoulli experiments + </p> + </td> +<td> + <p> + tossing a coin 20 times and counting how many front sides are shown + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/geometric_distribution.html" title="Class template geometric_distribution">geometric_distribution</a></code> + </p> + </td> +<td> + <p> + measures distance between outcomes of repeated Bernoulli experiments + </p> + </td> +<td> + <p> + throwing a die several times and counting the number of tries until + a "6" appears for the first time + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/negative_binomial_distr_id1393527.html" title="Class template negative_binomial_distribution">negative_binomial_distribution</a></code> + </p> + </td> +<td> + <p> + Counts the number of failures of repeated Bernoulli experiments + required to get some constant number of successes. + </p> + </td> +<td> + <p> + flipping a coin and counting the number of heads that show up before + we get 3 tails + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"><div class="table"> +<a name="boost_random.reference.distributions.poisson_distributions"></a><p class="title"><b>Table 21.7. Poisson Distributions</b></p> +<div class="table-contents"><table class="table" summary="Poisson Distributions"> +<colgroup> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + distribution + </p> + </th> +<th> + <p> + explanation + </p> + </th> +<th> + <p> + example + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a></code> + </p> + </td> +<td> + <p> + poisson distribution + </p> + </td> +<td> + <p> + counting the number of alpha particles emitted by radioactive matter + in a fixed period of time + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/exponential_distribution.html" title="Class template exponential_distribution">exponential_distribution</a></code> + </p> + </td> +<td> + <p> + exponential distribution + </p> + </td> +<td> + <p> + measuring the inter-arrival time of alpha particles emitted by + radioactive matter + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/gamma_distribution.html" title="Class template gamma_distribution">gamma_distribution</a></code> + </p> + </td> +<td> + <p> + gamma distribution + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/weibull_distribution.html" title="Class template weibull_distribution">weibull_distribution</a></code> + </p> + </td> +<td> + <p> + weibull distribution + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/extreme_value_distribution.html" title="Class template extreme_value_distribution">extreme_value_distribution</a></code> + </p> + </td> +<td> + <p> + extreme value distribution + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"><div class="table"> +<a name="boost_random.reference.distributions.normal_distributions"></a><p class="title"><b>Table 21.8. Normal Distributions</b></p> +<div class="table-contents"><table class="table" summary="Normal Distributions"> +<colgroup> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + distribution + </p> + </th> +<th> + <p> + explanation + </p> + </th> +<th> + <p> + example + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/normal_distribution.html" title="Class template normal_distribution">normal_distribution</a></code> + </p> + </td> +<td> + <p> + counts outcomes of (infinitely) repeated Bernoulli experiments + </p> + </td> +<td> + <p> + tossing a coin 10000 times and counting how many front sides are + shown + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/lognormal_distribution.html" title="Class template lognormal_distribution">lognormal_distribution</a></code> + </p> + </td> +<td> + <p> + lognormal distribution (sometimes used in simulations) + </p> + </td> +<td> + <p> + measuring the job completion time of an assembly line worker + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a></code> + </p> + </td> +<td> + <p> + chi-squared distribution + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/cauchy_distribution.html" title="Class template cauchy_distribution">cauchy_distribution</a></code> + </p> + </td> +<td> + <p> + Cauchy distribution + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/fisher_f_distribution.html" title="Class template fisher_f_distribution">fisher_f_distribution</a></code> + </p> + </td> +<td> + <p> + Fisher F distribution + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a></code> + </p> + </td> +<td> + <p> + Student t distribution + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"><div class="table"> +<a name="boost_random.reference.distributions.sampling_distributions"></a><p class="title"><b>Table 21.9. Sampling Distributions</b></p> +<div class="table-contents"><table class="table" summary="Sampling Distributions"> +<colgroup> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + distribution + </p> + </th> +<th> + <p> + explanation + </p> + </th> +<th> + <p> + example + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/discrete_distribution.html" title="Class template discrete_distribution">discrete_distribution</a></code> + </p> + </td> +<td> + <p> + discrete distribution with specific probabilities + </p> + </td> +<td> + <p> + rolling an unfair die + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/piecewise_constant_dist_id1394956.html" title="Class template piecewise_constant_distribution">piecewise_constant_distribution</a></code> + </p> + </td> +<td> + <p> + - + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/piecewise_linear_distri_id1395927.html" title="Class template piecewise_linear_distribution">piecewise_linear_distribution</a></code> + </p> + </td> +<td> + <p> + - + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"><div class="table"> +<a name="boost_random.reference.distributions.miscellaneous_distributions"></a><p class="title"><b>Table 21.10. Miscellaneous Distributions</b></p> +<div class="table-contents"><table class="table" summary="Miscellaneous Distributions"> +<colgroup> +<col> +<col> +<col> +</colgroup> +<thead><tr> +<th> + <p> + distribution + </p> + </th> +<th> + <p> + explanation + </p> + </th> +<th> + <p> + example + </p> + </th> +</tr></thead> +<tbody> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/triangle_distribution.html" title="Class template triangle_distribution">triangle_distribution</a></code> + </p> + </td> +<td> + <p> + triangle distribution + </p> + </td> +<td> + <p> + - + </p> + </td> +</tr> +<tr> +<td> + <p> + <code class="computeroutput"><a class="link" href="../boost/random/uniform_on_sphere.html" title="Class template uniform_on_sphere">uniform_on_sphere</a></code> + </p> + </td> +<td> + <p> + uniform distribution on a unit sphere of arbitrary dimension + </p> + </td> +<td> + <p> + choosing a random point on Earth (assumed to be a sphere) where + to spend the next vacations + </p> + </td> +</tr> +</tbody> +</table></div> +</div> +<br class="table-break"> +</div> +<div class="section"> +<div class="titlepage"><div><div><h3 class="title"> +<a name="headers"></a>Headers</h3></div></div></div> +<div class="toc"><dl> +<dt><span class="section"><a href="reference.html#header.boost.random.additive_combine_hpp">Header <boost/random/additive_combine.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.bernoulli_distribution_hpp">Header <boost/random/bernoulli_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.binomial_distribution_hpp">Header <boost/random/binomial_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.cauchy_distribution_hpp">Header <boost/random/cauchy_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.chi_squared_distribution_hpp">Header <boost/random/chi_squared_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.discard_block_hpp">Header <boost/random/discard_block.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.discrete_distribution_hpp">Header <boost/random/discrete_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.exponential_distribution_hpp">Header <boost/random/exponential_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.extreme_value_distribution_hpp">Header <boost/random/extreme_value_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.fisher_f_distribution_hpp">Header <boost/random/fisher_f_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.gamma_distribution_hpp">Header <boost/random/gamma_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.geometric_distribution_hpp">Header <boost/random/geometric_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.independent_bits_hpp">Header <boost/random/independent_bits.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.inversive_congruential_hpp">Header <boost/random/inversive_congruential.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.lagged_fibonacci_hpp">Header <boost/random/lagged_fibonacci.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.linear_congruential_hpp">Header <boost/random/linear_congruential.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.linear_feedback_shift_hpp">Header <boost/random/linear_feedback_shift.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.lognormal_distribution_hpp">Header <boost/random/lognormal_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.mersenne_twister_hpp">Header <boost/random/mersenne_twister.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.negative_binomial_distribution_hpp">Header <boost/random/negative_binomial_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.normal_distribution_hpp">Header <boost/random/normal_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.piecewise_constant_distribution_hpp">Header <boost/random/piecewise_constant_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.piecewise_linear_distribution_hpp">Header <boost/random/piecewise_linear_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.poisson_distribution_hpp">Header <boost/random/poisson_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.random_device_hpp">Header <boost/random/random_device.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.random_number_generator_hpp">Header <boost/random/random_number_generator.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.ranlux_hpp">Header <boost/random/ranlux.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.seed_seq_hpp">Header <boost/random/seed_seq.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.shuffle_order_hpp">Header <boost/random/shuffle_order.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.student_t_distribution_hpp">Header <boost/random/student_t_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.subtract_with_carry_hpp">Header <boost/random/subtract_with_carry.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.taus88_hpp">Header <boost/random/taus88.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.triangle_distribution_hpp">Header <boost/random/triangle_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.uniform_01_hpp">Header <boost/random/uniform_01.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.uniform_int_distribution_hpp">Header <boost/random/uniform_int_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.uniform_on_sphere_hpp">Header <boost/random/uniform_on_sphere.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.uniform_real_distribution_hpp">Header <boost/random/uniform_real_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.uniform_smallint_hpp">Header <boost/random/uniform_smallint.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.variate_generator_hpp">Header <boost/random/variate_generator.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.weibull_distribution_hpp">Header <boost/random/weibull_distribution.hpp></a></span></dt> +<dt><span class="section"><a href="reference.html#header.boost.random.xor_combine_hpp">Header <boost/random/xor_combine.hpp></a></span></dt> +</dl></div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.additive_combine_hpp"></a>Header <<a href="../../../boost/random/additive_combine.hpp" target="_top">boost/random/additive_combine.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> MLCG1<span class="special">,</span> <span class="keyword">typename</span> MLCG2<span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/additive_combine_engine.html" title="Class template additive_combine_engine">additive_combine_engine</a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/additive_combine_engine.html" title="Class template additive_combine_engine">additive_combine_engine</a><span class="special"><</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">40014</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <span class="number">2147483563</span> <span class="special">></span><span class="special">,</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">40692</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <span class="number">2147483399</span> <span class="special">>></span> <a class="link" href="../boost/random/ecuyer1988.html" title="Type definition ecuyer1988"><span class="identifier">ecuyer1988</span></a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.bernoulli_distribution_hpp"></a>Header <<a href="../../../boost/random/bernoulli_distribution.hpp" target="_top">boost/random/bernoulli_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/bernoulli_distribution.html" title="Class template bernoulli_distribution">bernoulli_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.binomial_distribution_hpp"></a>Header <<a href="../../../boost/random/binomial_distribution.hpp" target="_top">boost/random/binomial_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/binomial_distribution.html" title="Class template binomial_distribution">binomial_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.cauchy_distribution_hpp"></a>Header <<a href="../../../boost/random/cauchy_distribution.hpp" target="_top">boost/random/cauchy_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/cauchy_distribution.html" title="Class template cauchy_distribution">cauchy_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.chi_squared_distribution_hpp"></a>Header <<a href="../../../boost/random/chi_squared_distribution.hpp" target="_top">boost/random/chi_squared_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/chi_squared_distribution.html" title="Class template chi_squared_distribution">chi_squared_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.discard_block_hpp"></a>Header <<a href="../../../boost/random/discard_block.hpp" target="_top">boost/random/discard_block.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> UniformRandomNumberGenerator<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> p<span class="special">,</span> + <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> r<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.discrete_distribution_hpp"></a>Header <<a href="../../../boost/random/discrete_distribution.hpp" target="_top">boost/random/discrete_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> WeightType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/discrete_distribution.html" title="Class template discrete_distribution">discrete_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.exponential_distribution_hpp"></a>Header <<a href="../../../boost/random/exponential_distribution.hpp" target="_top">boost/random/exponential_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/exponential_distribution.html" title="Class template exponential_distribution">exponential_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.extreme_value_distribution_hpp"></a>Header <<a href="../../../boost/random/extreme_value_distribution.hpp" target="_top">boost/random/extreme_value_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/extreme_value_distribution.html" title="Class template extreme_value_distribution">extreme_value_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.fisher_f_distribution_hpp"></a>Header <<a href="../../../boost/random/fisher_f_distribution.hpp" target="_top">boost/random/fisher_f_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/fisher_f_distribution.html" title="Class template fisher_f_distribution">fisher_f_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.gamma_distribution_hpp"></a>Header <<a href="../../../boost/random/gamma_distribution.hpp" target="_top">boost/random/gamma_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/gamma_distribution.html" title="Class template gamma_distribution">gamma_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.geometric_distribution_hpp"></a>Header <<a href="../../../boost/random/geometric_distribution.hpp" target="_top">boost/random/geometric_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/geometric_distribution.html" title="Class template geometric_distribution">geometric_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.independent_bits_hpp"></a>Header <<a href="../../../boost/random/independent_bits.hpp" target="_top">boost/random/independent_bits.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Engine<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> w<span class="special">,</span> <span class="keyword">typename</span> UIntType<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/independent_bits_engine.html" title="Class template independent_bits_engine">independent_bits_engine</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.inversive_congruential_hpp"></a>Header <<a href="../../../boost/random/inversive_congruential.hpp" target="_top">boost/random/inversive_congruential.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType<span class="special">,</span> <span class="identifier">IntType</span> a<span class="special">,</span> <span class="identifier">IntType</span> b<span class="special">,</span> <span class="identifier">IntType</span> p<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/inversive_congruential__id1388053.html" title="Class template inversive_congruential_engine">inversive_congruential_engine</a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/inversive_congruential__id1388053.html" title="Class template inversive_congruential_engine">inversive_congruential_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">9102</span><span class="special">,</span> <span class="number">2147483647</span><span class="special">-</span><span class="number">36884165</span><span class="special">,</span> <span class="number">2147483647</span> <span class="special">></span> <a class="link" href="../boost/random/hellekalek1995.html" title="Type definition hellekalek1995"><span class="identifier">hellekalek1995</span></a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.lagged_fibonacci_hpp"></a>Header <<a href="../../../boost/random/lagged_fibonacci.hpp" target="_top">boost/random/lagged_fibonacci.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> UIntType<span class="special">,</span> <span class="keyword">int</span> w<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> p<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> q<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/lagged_fibonacci_engine.html" title="Class template lagged_fibonacci_engine">lagged_fibonacci_engine</a><span class="special">;</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType<span class="special">,</span> <span class="keyword">int</span> w<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> p<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> q<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">607</span><span class="special">,</span> <span class="number">273</span> <span class="special">></span> <a class="link" href="../boost/random/lagged_fibonacci607.html" title="Type definition lagged_fibonacci607"><span class="identifier">lagged_fibonacci607</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">1279</span><span class="special">,</span> <span class="number">418</span> <span class="special">></span> <a class="link" href="../boost/random/lagged_fibonacci1279.html" title="Type definition lagged_fibonacci1279"><span class="identifier">lagged_fibonacci1279</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">2281</span><span class="special">,</span> <span class="number">1252</span> <span class="special">></span> <a class="link" href="../boost/random/lagged_fibonacci2281.html" title="Type definition lagged_fibonacci2281"><span class="identifier">lagged_fibonacci2281</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">3217</span><span class="special">,</span> <span class="number">576</span> <span class="special">></span> <a class="link" href="../boost/random/lagged_fibonacci3217.html" title="Type definition lagged_fibonacci3217"><span class="identifier">lagged_fibonacci3217</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">4423</span><span class="special">,</span> <span class="number">2098</span> <span class="special">></span> <a class="link" href="../boost/random/lagged_fibonacci4423.html" title="Type definition lagged_fibonacci4423"><span class="identifier">lagged_fibonacci4423</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">9689</span><span class="special">,</span> <span class="number">5502</span> <span class="special">></span> <a class="link" href="../boost/random/lagged_fibonacci9689.html" title="Type definition lagged_fibonacci9689"><span class="identifier">lagged_fibonacci9689</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">19937</span><span class="special">,</span> <span class="number">9842</span> <span class="special">></span> <a class="link" href="../boost/random/lagged_fibonacci19937.html" title="Type definition lagged_fibonacci19937"><span class="identifier">lagged_fibonacci19937</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">23209</span><span class="special">,</span> <span class="number">13470</span> <span class="special">></span> <a class="link" href="../boost/random/lagged_fibonacci23209.html" title="Type definition lagged_fibonacci23209"><span class="identifier">lagged_fibonacci23209</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/lagged_fibonacci_01_engine.html" title="Class template lagged_fibonacci_01_engine">lagged_fibonacci_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">44497</span><span class="special">,</span> <span class="number">21034</span> <span class="special">></span> <a class="link" href="../boost/random/lagged_fibonacci44497.html" title="Type definition lagged_fibonacci44497"><span class="identifier">lagged_fibonacci44497</span></a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.linear_congruential_hpp"></a>Header <<a href="../../../boost/random/linear_congruential.hpp" target="_top">boost/random/linear_congruential.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType<span class="special">,</span> <span class="identifier">IntType</span> a<span class="special">,</span> <span class="identifier">IntType</span> c<span class="special">,</span> <span class="identifier">IntType</span> m<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special">;</span> + <span class="keyword">class</span> <a class="link" href="../boost/random/rand48.html" title="Class rand48">rand48</a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">16807</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <span class="number">2147483647</span> <span class="special">></span> <a class="link" href="../boost/random/minstd_rand0.html" title="Type definition minstd_rand0"><span class="identifier">minstd_rand0</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">48271</span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <span class="number">2147483647</span> <span class="special">></span> <a class="link" href="../boost/random/minstd_rand.html" title="Type definition minstd_rand"><span class="identifier">minstd_rand</span></a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.linear_feedback_shift_hpp"></a>Header <<a href="../../../boost/random/linear_feedback_shift.hpp" target="_top">boost/random/linear_feedback_shift.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> UIntType<span class="special">,</span> <span class="keyword">int</span> w<span class="special">,</span> <span class="keyword">int</span> k<span class="special">,</span> <span class="keyword">int</span> q<span class="special">,</span> <span class="keyword">int</span> s<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/linear_feedback_shift_e_id1391357.html" title="Class template linear_feedback_shift_engine">linear_feedback_shift_engine</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.lognormal_distribution_hpp"></a>Header <<a href="../../../boost/random/lognormal_distribution.hpp" target="_top">boost/random/lognormal_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/lognormal_distribution.html" title="Class template lognormal_distribution">lognormal_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.mersenne_twister_hpp"></a>Header <<a href="../../../boost/random/mersenne_twister.hpp" target="_top">boost/random/mersenne_twister.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> UIntType<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> w<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> n<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> m<span class="special">,</span> + <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> r<span class="special">,</span> <span class="identifier">UIntType</span> a<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> u<span class="special">,</span> <span class="identifier">UIntType</span> d<span class="special">,</span> + <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> s<span class="special">,</span> <span class="identifier">UIntType</span> b<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> t<span class="special">,</span> <span class="identifier">UIntType</span> c<span class="special">,</span> + <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> l<span class="special">,</span> <span class="identifier">UIntType</span> f<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/mersenne_twister_engine.html" title="Class template mersenne_twister_engine">mersenne_twister_engine</a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/mersenne_twister_engine.html" title="Class template mersenne_twister_engine">mersenne_twister_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">351</span><span class="special">,</span> <span class="number">175</span><span class="special">,</span> <span class="number">19</span><span class="special">,</span> <span class="number">0xccab8ee7</span><span class="special">,</span> <span class="number">11</span><span class="special">,</span> <span class="number">0xffffffff</span><span class="special">,</span> <span class="number">7</span><span class="special">,</span> <span class="number">0x31b6ab00</span><span class="special">,</span> <span class="number">15</span><span class="special">,</span> <span class="number">0xffe50000</span><span class="special">,</span> <span class="number">17</span><span class="special">,</span> <span class="number">1812433253</span> <span class="special">></span> <a class="link" href="../boost/random/mt11213b.html" title="Type definition mt11213b"><span class="identifier">mt11213b</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/mersenne_twister_engine.html" title="Class template mersenne_twister_engine">mersenne_twister_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">624</span><span class="special">,</span> <span class="number">397</span><span class="special">,</span> <span class="number">31</span><span class="special">,</span> <span class="number">0x9908b0df</span><span class="special">,</span> <span class="number">11</span><span class="special">,</span> <span class="number">0xffffffff</span><span class="special">,</span> <span class="number">7</span><span class="special">,</span> <span class="number">0x9d2c5680</span><span class="special">,</span> <span class="number">15</span><span class="special">,</span> <span class="number">0xefc60000</span><span class="special">,</span> <span class="number">18</span><span class="special">,</span> <span class="number">1812433253</span> <span class="special">></span> <a class="link" href="../boost/random/mt19937.html" title="Type definition mt19937"><span class="identifier">mt19937</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/mersenne_twister_engine.html" title="Class template mersenne_twister_engine">mersenne_twister_engine</a><span class="special"><</span> <span class="identifier">uint64_t</span><span class="special">,</span> <span class="number">64</span><span class="special">,</span> <span class="number">312</span><span class="special">,</span> <span class="number">156</span><span class="special">,</span> <span class="number">31</span><span class="special">,</span> <span class="number">0xb5026f5aa96619e9ull</span><span class="special">,</span> <span class="number">29</span><span class="special">,</span> <span class="number">0x5555555555555555ull</span><span class="special">,</span> <span class="number">17</span><span class="special">,</span> <span class="number">0x71d67fffeda60000ull</span><span class="special">,</span> <span class="number">37</span><span class="special">,</span> <span class="number">0xfff7eee000000000ull</span><span class="special">,</span> <span class="number">43</span><span class="special">,</span> <span class="number">6364136223846793005ull</span> <span class="special">></span> <a name="boost.random.mt19937_64"></a><span class="identifier">mt19937_64</span><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.negative_binomial_distribution_hpp"></a>Header <<a href="../../../boost/random/negative_binomial_distribution.hpp" target="_top">boost/random/negative_binomial_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/negative_binomial_distr_id1393527.html" title="Class template negative_binomial_distribution">negative_binomial_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.normal_distribution_hpp"></a>Header <<a href="../../../boost/random/normal_distribution.hpp" target="_top">boost/random/normal_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/normal_distribution.html" title="Class template normal_distribution">normal_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.piecewise_constant_distribution_hpp"></a>Header <<a href="../../../boost/random/piecewise_constant_distribution.hpp" target="_top">boost/random/piecewise_constant_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span> <span class="keyword">typename</span> WeightType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/piecewise_constant_dist_id1394956.html" title="Class template piecewise_constant_distribution">piecewise_constant_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.piecewise_linear_distribution_hpp"></a>Header <<a href="../../../boost/random/piecewise_linear_distribution.hpp" target="_top">boost/random/piecewise_linear_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/piecewise_linear_distri_id1395927.html" title="Class template piecewise_linear_distribution">piecewise_linear_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.poisson_distribution_hpp"></a>Header <<a href="../../../boost/random/poisson_distribution.hpp" target="_top">boost/random/poisson_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">,</span> <span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/poisson_distribution.html" title="Class template poisson_distribution">poisson_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.random_device_hpp"></a>Header <<a href="../../../boost/random/random_device.hpp" target="_top">boost/random/random_device.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">class</span> <a class="link" href="../boost/random/random_device.html" title="Class random_device">random_device</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.random_number_generator_hpp"></a>Header <<a href="../../../boost/random/random_number_generator.hpp" target="_top">boost/random/random_number_generator.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> URNG<span class="special">,</span> <span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">long</span><span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/random_number_generator.html" title="Class template random_number_generator">random_number_generator</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.ranlux_hpp"></a>Header <<a href="../../../boost/random/ranlux.hpp" target="_top">boost/random/ranlux.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">24</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a name="boost.random.ranlux_base"></a><span class="identifier">ranlux_base</span><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_01__id1271726.html" title="Class template subtract_with_carry_01_engine">subtract_with_carry_01_engine</a><span class="special"><</span> <span class="keyword">float</span><span class="special">,</span> <span class="number">24</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a name="boost.random.ranlux_base_01"></a><span class="identifier">ranlux_base_01</span><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_01__id1271726.html" title="Class template subtract_with_carry_01_engine">subtract_with_carry_01_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a name="boost.random.ranlux64_base_01"></a><span class="identifier">ranlux64_base_01</span><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux_base">ranlux_base</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a class="link" href="../boost/random/ranlux3.html" title="Type definition ranlux3"><span class="identifier">ranlux3</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux_base">ranlux_base</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a class="link" href="../boost/random/ranlux4.html" title="Type definition ranlux4"><span class="identifier">ranlux4</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux_base_01">ranlux_base_01</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a class="link" href="../boost/random/ranlux3_01.html" title="Type definition ranlux3_01"><span class="identifier">ranlux3_01</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux_base_01">ranlux_base_01</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a class="link" href="../boost/random/ranlux4_01.html" title="Type definition ranlux4_01"><span class="identifier">ranlux4_01</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux64_base_01">ranlux64_base_01</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a class="link" href="../boost/random/ranlux64_3_01.html" title="Type definition ranlux64_3_01"><span class="identifier">ranlux64_3_01</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux64_base_01">ranlux64_base_01</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a class="link" href="../boost/random/ranlux64_4_01.html" title="Type definition ranlux64_4_01"><span class="identifier">ranlux64_4_01</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special"><</span> <span class="identifier">uint64_t</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a name="boost.random.ranlux64_base"></a><span class="identifier">ranlux64_base</span><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux64_base">ranlux64_base</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a class="link" href="../boost/random/ranlux64_3.html" title="Type definition ranlux64_3"><span class="identifier">ranlux64_3</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux64_base">ranlux64_base</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a class="link" href="../boost/random/ranlux64_4.html" title="Type definition ranlux64_4"><span class="identifier">ranlux64_4</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">24</span><span class="special">,</span> <span class="number">10</span><span class="special">,</span> <span class="number">24</span> <span class="special">></span> <a name="boost.random.ranlux24_base"></a><span class="identifier">ranlux24_base</span><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special"><</span> <span class="identifier">uint64_t</span><span class="special">,</span> <span class="number">48</span><span class="special">,</span> <span class="number">5</span><span class="special">,</span> <span class="number">12</span> <span class="special">></span> <a name="boost.random.ranlux48_base"></a><span class="identifier">ranlux48_base</span><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux24_base">ranlux24_base</a><span class="special">,</span> <span class="number">223</span><span class="special">,</span> <span class="number">23</span> <span class="special">></span> <a name="boost.random.ranlux24"></a><span class="identifier">ranlux24</span><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/discard_block_engine.html" title="Class template discard_block_engine">discard_block_engine</a><span class="special"><</span> <a class="link" href="reference.html#boost.random.ranlux48_base">ranlux48_base</a><span class="special">,</span> <span class="number">389</span><span class="special">,</span> <span class="number">11</span> <span class="special">></span> <a name="boost.random.ranlux48"></a><span class="identifier">ranlux48</span><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.seed_seq_hpp"></a>Header <<a href="../../../boost/random/seed_seq.hpp" target="_top">boost/random/seed_seq.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">class</span> <a class="link" href="../boost/random/seed_seq.html" title="Class seed_seq">seed_seq</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.shuffle_order_hpp"></a>Header <<a href="../../../boost/random/shuffle_order.hpp" target="_top">boost/random/shuffle_order.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> UniformRandomNumberGenerator<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> k<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/shuffle_order_engine.html" title="Class template shuffle_order_engine">shuffle_order_engine</a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/shuffle_order_engine.html" title="Class template shuffle_order_engine">shuffle_order_engine</a><span class="special"><</span> <a class="link" href="../boost/random/linear_congruential_engine.html" title="Class template linear_congruential_engine">linear_congruential_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">1366</span><span class="special">,</span> <span class="number">150889</span><span class="special">,</span> <span class="number">714025</span> <span class="special">></span><span class="special">,</span> <span class="number">97</span> <span class="special">></span> <a class="link" href="../boost/random/kreutzer1986.html" title="Type definition kreutzer1986"><span class="identifier">kreutzer1986</span></a><span class="special">;</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/shuffle_order_engine.html" title="Class template shuffle_order_engine">shuffle_order_engine</a><span class="special"><</span> <a class="link" href="../boost/random/minstd_rand0.html" title="Type definition minstd_rand0">minstd_rand0</a><span class="special">,</span> <span class="number">256</span> <span class="special">></span> <a class="link" href="../boost/random/knuth_b.html" title="Type definition knuth_b"><span class="identifier">knuth_b</span></a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.student_t_distribution_hpp"></a>Header <<a href="../../../boost/random/student_t_distribution.hpp" target="_top">boost/random/student_t_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.subtract_with_carry_hpp"></a>Header <<a href="../../../boost/random/subtract_with_carry.hpp" target="_top">boost/random/subtract_with_carry.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> w<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> s<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> r<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/subtract_with_carry_engine.html" title="Class template subtract_with_carry_engine">subtract_with_carry_engine</a><span class="special">;</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> w<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> s<span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> r<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/subtract_with_carry_01__id1271726.html" title="Class template subtract_with_carry_01_engine">subtract_with_carry_01_engine</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.taus88_hpp"></a>Header <<a href="../../../boost/random/taus88.hpp" target="_top">boost/random/taus88.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">typedef</span> <a class="link" href="../boost/random/xor_combine_engine.html" title="Class template xor_combine_engine">xor_combine_engine</a><span class="special"><</span> <a class="link" href="../boost/random/xor_combine_engine.html" title="Class template xor_combine_engine">xor_combine_engine</a><span class="special"><</span> <a class="link" href="../boost/random/linear_feedback_shift_e_id1391357.html" title="Class template linear_feedback_shift_engine">linear_feedback_shift_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">31</span><span class="special">,</span> <span class="number">13</span><span class="special">,</span> <span class="number">12</span> <span class="special">></span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <a class="link" href="../boost/random/linear_feedback_shift_e_id1391357.html" title="Class template linear_feedback_shift_engine">linear_feedback_shift_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">29</span><span class="special">,</span> <span class="number">2</span><span class="special">,</span> <span class="number">4</span> <span class="special">></span><span class="special">,</span> <span class="number">0</span> <span class="special">></span><span class="special">,</span> <span class="number">0</span><span class="special">,</span> <a class="link" href="../boost/random/linear_feedback_shift_e_id1391357.html" title="Class template linear_feedback_shift_engine">linear_feedback_shift_engine</a><span class="special"><</span> <span class="identifier">uint32_t</span><span class="special">,</span> <span class="number">32</span><span class="special">,</span> <span class="number">28</span><span class="special">,</span> <span class="number">3</span><span class="special">,</span> <span class="number">17</span> <span class="special">></span><span class="special">,</span> <span class="number">0</span> <span class="special">></span> <a class="link" href="../boost/random/taus88.html" title="Type definition taus88"><span class="identifier">taus88</span></a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.triangle_distribution_hpp"></a>Header <<a href="../../../boost/random/triangle_distribution.hpp" target="_top">boost/random/triangle_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/triangle_distribution.html" title="Class template triangle_distribution">triangle_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.uniform_01_hpp"></a>Header <<a href="../../../boost/random/uniform_01.hpp" target="_top">boost/random/uniform_01.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_01.html" title="Class template uniform_01">uniform_01</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.uniform_int_distribution_hpp"></a>Header <<a href="../../../boost/random/uniform_int_distribution.hpp" target="_top">boost/random/uniform_int_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_int_distribution.html" title="Class template uniform_int_distribution">uniform_int_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.uniform_on_sphere_hpp"></a>Header <<a href="../../../boost/random/uniform_on_sphere.hpp" target="_top">boost/random/uniform_on_sphere.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span> + <span class="keyword">typename</span> Cont <span class="special">=</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">vector</span><span class="special"><</span><span class="identifier">RealType</span><span class="special">></span> <span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_on_sphere.html" title="Class template uniform_on_sphere">uniform_on_sphere</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.uniform_real_distribution_hpp"></a>Header <<a href="../../../boost/random/uniform_real_distribution.hpp" target="_top">boost/random/uniform_real_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_real_distribution.html" title="Class template uniform_real_distribution">uniform_real_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.uniform_smallint_hpp"></a>Header <<a href="../../../boost/random/uniform_smallint.hpp" target="_top">boost/random/uniform_smallint.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> IntType <span class="special">=</span> <span class="keyword">int</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/uniform_smallint.html" title="Class template uniform_smallint">uniform_smallint</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.variate_generator_hpp"></a>Header <<a href="../../../boost/random/variate_generator.hpp" target="_top">boost/random/variate_generator.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Engine<span class="special">,</span> <span class="keyword">typename</span> Distribution<span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/variate_generator.html" title="Class template variate_generator">variate_generator</a><span class="special">;</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.weibull_distribution_hpp"></a>Header <<a href="../../../boost/random/weibull_distribution.hpp" target="_top">boost/random/weibull_distribution.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/weibull_distribution.html" title="Class template weibull_distribution">weibull_distribution</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +<div class="section"> +<div class="titlepage"><div><div><h4 class="title"> +<a name="header.boost.random.xor_combine_hpp"></a>Header <<a href="../../../boost/random/xor_combine.hpp" target="_top">boost/random/xor_combine.hpp</a>></h4></div></div></div> +<pre class="synopsis"><span class="keyword">namespace</span> <span class="identifier">boost</span> <span class="special">{</span> + <span class="keyword">namespace</span> <span class="identifier">random</span> <span class="special">{</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> URNG1<span class="special">,</span> <span class="keyword">int</span> s1<span class="special">,</span> <span class="keyword">typename</span> URNG2<span class="special">,</span> <span class="keyword">int</span> s2<span class="special">></span> + <span class="keyword">class</span> <a class="link" href="../boost/random/xor_combine_engine.html" title="Class template xor_combine_engine">xor_combine_engine</a><span class="special">;</span> + <span class="special">}</span> +<span class="special">}</span></pre> +</div> +</div> +</div> +<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> +<td align="left"></td> +<td align="right"><div class="copyright-footer">Copyright © 2000-2005 Jens Maurer<br>Copyright © 2009, 2010 Steven Watanabe<p> + Distributed under the Boost Software License, Version 1.0. (See accompanying + 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>) + </p> +</div></td> +</tr></table> +<hr> +<div class="spirit-nav"> +<a accesskey="p" href="tutorial.html"><img src="../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../boost_random.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="../boost/random/additive_combine_engine.html"><img src="../../../doc/src/images/next.png" alt="Next"></a> +</div> +</body> +</html> |