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<dt><span class="section"><a href="reference.html#boost_random.reference.concepts">Concepts</a></span></dt>
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<dt><span class="section"><a href="reference.html#boost_random.reference.generators">Generators</a></span></dt>
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<dt><span class="section"><a href="reference.html#boost_random.reference.distributions">Distributions</a></span></dt>
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<div class="section">
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<div class="titlepage"><div><div><h3 class="title">
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<a name="boost_random.reference.concepts"></a><a class="link" href="reference.html#boost_random.reference.concepts" title="Concepts">Concepts</a>
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</h3></div></div></div>
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<div class="toc"><dl class="toc">
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<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.introduction">Introduction</a></span></dt>
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<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.uniform_random_number_generator">Uniform
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Random Number Generator</a></span></dt>
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<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.non_deterministic_uniform_random_number_generator">Non-deterministic
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Uniform Random Number Generator</a></span></dt>
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<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator">Pseudo-Random
|
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Number Generator</a></span></dt>
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<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.quasi_random_number_generator">Quasi-Random
|
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Number Generator</a></span></dt>
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<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.seed_sequence">Seed
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Sequence</a></span></dt>
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<dt><span class="section"><a href="reference.html#boost_random.reference.concepts.random_distribution">Random
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Distribution</a></span></dt>
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</dl></div>
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<div class="section">
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<div class="titlepage"><div><div><h4 class="title">
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<a name="boost_random.reference.concepts.introduction"></a><a class="link" href="reference.html#boost_random.reference.concepts.introduction" title="Introduction">Introduction</a>
|
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</h4></div></div></div>
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<p>
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Random numbers are required in a number of different problem domains, such
|
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as
|
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</p>
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<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
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<li class="listitem">
|
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numerics (simulation, Monte-Carlo integration)
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</li>
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<li class="listitem">
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games (non-deterministic enemy behavior)
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</li>
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<li class="listitem">
|
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security (key generation)
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</li>
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<li class="listitem">
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testing (random coverage in white-box tests)
|
||
</li>
|
||
</ul></div>
|
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<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>
|
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<p>
|
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Depending on the requirements of the problem domain, different variations
|
||
of random number generators are appropriate:
|
||
</p>
|
||
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-type: disc; ">
|
||
<li class="listitem">
|
||
non-deterministic random number generator
|
||
</li>
|
||
<li class="listitem">
|
||
pseudo-random number generator
|
||
</li>
|
||
<li class="listitem">
|
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quasi-random number generator
|
||
</li>
|
||
</ul></div>
|
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<p>
|
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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>
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The goals for this library are the following:
|
||
</p>
|
||
<div class="itemizedlist"><ul class="itemizedlist" style="list-style-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 34.1. 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/invers_1_3_35_5_6_20_1_1_1.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, <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">i</span></code> is a value of integral type, <code class="computeroutput"><span class="identifier">s</span></code> is a value of a type which models
|
||
<a class="link" href="reference.html#boost_random.reference.concepts.seed_sequence" title="Seed Sequence">SeedSeq</a>,
|
||
and <code class="computeroutput"><span class="identifier">j</span></code> a value of type
|
||
<code class="computeroutput"><span class="keyword">unsigned</span> <span class="keyword">long</span>
|
||
<span class="keyword">long</span></code>.
|
||
</p>
|
||
<div class="table">
|
||
<a name="boost_random.reference.concepts.pseudo_random_number_generator.pseudorandomnumbergenerator_requirements"></a><p class="title"><b>Table 34.2. 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 with a default seed.
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">X</span><span class="special">(</span><span class="identifier">i</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
-
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
creates a generator seeding it with the integer <code class="computeroutput"><span class="identifier">i</span></code>.
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">X</span><span class="special">(</span><span class="identifier">s</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
-
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
creates a generator setting its initial state from the <a class="link" href="reference.html#boost_random.reference.concepts.seed_sequence" title="Seed Sequence">SeedSeq</a>
|
||
<code class="computeroutput"><span class="identifier">s</span></code>.
|
||
</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 to be identical to the state that would
|
||
be created by the corresponding constructor.
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">u</span><span class="special">.</span><span class="identifier">discard</span><span class="special">(</span><span class="identifier">j</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="keyword">void</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Advances the generator by <code class="computeroutput"><span class="identifier">j</span></code>
|
||
steps as if by <code class="computeroutput"><span class="identifier">j</span></code>
|
||
calls to <code class="computeroutput"><span class="identifier">u</span><span class="special">()</span></code>.
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
</tbody>
|
||
</table></div>
|
||
</div>
|
||
<br class="table-break"><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 shall 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>. <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.quasi_random_number_generator"></a><a class="link" href="reference.html#boost_random.reference.concepts.quasi_random_number_generator" title="Quasi-Random Number Generator">Quasi-Random
|
||
Number Generator</a>
|
||
</h4></div></div></div>
|
||
<p>
|
||
A quasi-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 quasi-random numbers, based
|
||
on some algorithm and internal state. <code class="computeroutput"><a class="link" href="../boost/random/niederreiter_base2_engine.html" title="Class template niederreiter_base2_engine">Niederreiter
|
||
base 2</a></code> generator is an example of such a <a class="link" href="reference.html#boost_random.reference.concepts.quasi_random_number_generator" title="Quasi-Random Number Generator">quasi-random
|
||
number generator</a>. The "quasi" modifier is used to denote
|
||
more clearly that the values produced by such a generator are neither random
|
||
nor pseudo-random, but they form a low discrepancy sequence. The intuitive
|
||
idea is that a low discrepancy sequence is more evenly distributed than
|
||
a pseudo random sequence would be. For example, if we generate a low discrepancy
|
||
sequence of 2D points on a square, this square would be covered more evenly,
|
||
and the number of points falling to any part of the square would be proportional
|
||
to the number of points in the whole square. Such sequences share some
|
||
properties of random variables and in certain applications such as the
|
||
quasi-Monte Carlo method their lower discrepancy is an important advantage.
|
||
</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>
|
||
The quasi-Monte Carlo method uses a low-discrepancy sequence such as
|
||
the Niederreiter base 2 sequence, the Sobol sequence, or the Faure sequence
|
||
among the others. The advantage of using low-discrepancy sequences is
|
||
a probabilistically faster rate of convergence. Quasi-Monte Carlo has
|
||
a rate of convergence O(log(N)<sup>s</sup>/N), whereas the rate of convergence for
|
||
the Monte Carlo method, which uses a pseudo-random sequence, is O(N<sup>-0.5</sup>).
|
||
</p></td></tr>
|
||
</table></div>
|
||
<p>
|
||
Harold Niederreiter gives an extensive overview on random number generation
|
||
and quasi-Monte Carlo methods in his book "Random number generation
|
||
and quasi-Monte Carlo methods, Society for Industrial and Applied Mathematics,
|
||
1992".
|
||
</p>
|
||
<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 quasi-random number generator has some additional requirements.
|
||
In the following table, <code class="computeroutput"><span class="identifier">X</span></code>
|
||
denotes a quasi-random number generator class, <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">v</span></code> is a const value of <code class="computeroutput"><span class="identifier">X</span></code>,
|
||
and <code class="computeroutput"><span class="identifier">j</span></code> a value of type
|
||
<code class="computeroutput"><span class="keyword">unsigned</span> <span class="keyword">long</span>
|
||
<span class="keyword">long</span></code>.
|
||
</p>
|
||
<div class="table">
|
||
<a name="boost_random.reference.concepts.quasi_random_number_generator.quasirandomnumbergenerator_requirements"></a><p class="title"><b>Table 34.3. QuasiRandomNumberGenerator requirements</b></p>
|
||
<div class="table-contents"><table class="table" summary="QuasiRandomNumberGenerator 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">s</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
-
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
creates an <code class="computeroutput"><span class="identifier">s</span></code>-dimensional
|
||
generator with a default seed. Dimension <code class="computeroutput"><span class="identifier">s</span></code>
|
||
is an integer no less than 1.
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">v</span><span class="special">.</span><span class="identifier">dimension</span><span class="special">()</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
std::size_t
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
the dimension of quasi-random domain.
|
||
</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><span class="identifier">i</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="keyword">void</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
seeds the generator with the integer <code class="computeroutput"><span class="identifier">i</span></code>.
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">u</span><span class="special">.</span><span class="identifier">discard</span><span class="special">(</span><span class="identifier">j</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="keyword">void</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Advances the generator by <code class="computeroutput"><span class="identifier">j</span></code>
|
||
steps as if by <code class="computeroutput"><span class="identifier">j</span></code>
|
||
calls to <code class="computeroutput"><span class="identifier">u</span><span class="special">()</span></code>.
|
||
</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 <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code>
|
||
returns a successive element of an <code class="computeroutput"><span class="identifier">s</span></code>-dimensional
|
||
(<code class="computeroutput"><span class="identifier">s</span></code> = <code class="computeroutput"><span class="identifier">v</span><span class="special">.</span><span class="identifier">dimension</span><span class="special">()</span></code>) vector at each invocation. When all
|
||
elements are exhausted, <code class="computeroutput"><span class="keyword">operator</span><span class="special">()</span></code> begins anew with the starting element
|
||
of a subsequent <code class="computeroutput"><span class="identifier">s</span></code>-dimensional
|
||
vector.
|
||
</p></td></tr>
|
||
</table></div>
|
||
<p>
|
||
Classes which model a quasi-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 quasi-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 quasi-random number generator shall 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>. <code class="computeroutput"><span class="keyword">operator</span><span class="special"><<</span></code> writes all current state of the
|
||
quasi-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 quasi-random number generator
|
||
with the restored state and the original at the just-written state shall
|
||
be equivalent.
|
||
</p>
|
||
<p>
|
||
Classes which model a quasi-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 quasi-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/niederreiter_base2.html" title="Type definition niederreiter_base2">niederreiter_base2</a></code>,
|
||
<code class="computeroutput"><a class="link" href="../boost/random/sobol.html" title="Type definition sobol">sobol</a></code>, <code class="computeroutput"><a class="link" href="../boost/random/faure.html" title="Type definition faure">faure</a></code>
|
||
are models for a quasi-random number generator.
|
||
</p>
|
||
</div>
|
||
<div class="section">
|
||
<div class="titlepage"><div><div><h4 class="title">
|
||
<a name="boost_random.reference.concepts.seed_sequence"></a><a class="link" href="reference.html#boost_random.reference.concepts.seed_sequence" title="Seed Sequence">Seed
|
||
Sequence</a>
|
||
</h4></div></div></div>
|
||
<p>
|
||
A SeedSeq represents a sequence of values that can be used to set the initial
|
||
state of a <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">PseudoRandomNumberGenerator</a>.
|
||
<code class="computeroutput"><span class="identifier">i</span></code> and <code class="computeroutput"><span class="identifier">j</span></code>
|
||
are RandomAccessIterators whose <code class="computeroutput"><span class="identifier">value_type</span></code>
|
||
is an unsigned integer type with at least 32 bits.
|
||
</p>
|
||
<div class="table">
|
||
<a name="boost_random.reference.concepts.seed_sequence.seedseq_requirements"></a><p class="title"><b>Table 34.4. SeedSeq requirements</b></p>
|
||
<div class="table-contents"><table class="table" summary="SeedSeq requirements">
|
||
<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">s</span><span class="special">.</span><span class="identifier">generate</span><span class="special">(</span><span class="identifier">i</span><span class="special">,</span>
|
||
<span class="identifier">j</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
void
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
stores 32-bit values to all the elements in the iterator range
|
||
defined by <code class="computeroutput"><span class="identifier">i</span></code>
|
||
and <code class="computeroutput"><span class="identifier">j</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
O(j - i)
|
||
</p>
|
||
</td>
|
||
</tr></tbody>
|
||
</table></div>
|
||
</div>
|
||
<br class="table-break"><p>
|
||
The class <code class="computeroutput"><a class="link" href="../boost/random/seed_seq.html" title="Class seed_seq">seed_seq</a></code>
|
||
and every <a class="link" href="reference.html#boost_random.reference.concepts.uniform_random_number_generator" title="Uniform Random Number Generator">UniformRandomNumberGenerator</a>
|
||
provided by the library are models of <a class="link" href="reference.html#boost_random.reference.concepts.seed_sequence" title="Seed Sequence">SeedSeq</a>.
|
||
</p>
|
||
</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> and <code class="computeroutput"><span class="identifier">y</span></code>
|
||
are (possibly const) values of <code class="computeroutput"><span class="identifier">X</span></code>,
|
||
<code class="computeroutput"><span class="identifier">P</span></code> is the <code class="computeroutput"><span class="identifier">param_type</span></code> of the distribution, <code class="computeroutput"><span class="identifier">p</span></code> is a value of <code class="computeroutput"><span class="identifier">P</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 34.5. 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">X</span><span class="special">::</span><span class="identifier">param_type</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">P</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
A type that stores the parameters of the distribution, but not
|
||
any of the state used to generate random variates. <code class="computeroutput"><span class="identifier">param_type</span></code> provides the same
|
||
set of constructors and accessors as the distribution.
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
compile-time
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">X</span><span class="special">(</span><span class="identifier">p</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">X</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Initializes a distribution from its parameters
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
O(size of state)
|
||
</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 the probability density function
|
||
of the distribution
|
||
</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">u</span><span class="special">(</span><span class="identifier">e</span><span class="special">,</span>
|
||
<span class="identifier">p</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">T</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Equivalent to X(p)(e), but may use a different (and presumably
|
||
more efficient) implementation
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
amortized constant number of invocations of <code class="computeroutput"><span class="identifier">e</span></code>
|
||
+ O(size of state)
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">x</span><span class="special">.</span><span class="identifier">param</span><span class="special">()</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">P</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Returns the parameters of the distribution
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
O(size of state)
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">x</span><span class="special">.</span><span class="identifier">param</span><span class="special">(</span><span class="identifier">p</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
void
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Sets the parameters of the distribution
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
O(size of state)
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">x</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>
|
||
returns the minimum value of the distribution
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
constant
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">x</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>
|
||
returns the maximum value of the distribution
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
constant
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">x</span> <span class="special">==</span>
|
||
<span class="identifier">y</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="keyword">bool</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Indicates whether the two distributions will produce identical
|
||
sequences of random variates if given equal generators
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
O(size of state)
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="identifier">x</span> <span class="special">!=</span>
|
||
<span class="identifier">y</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="keyword">bool</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><span class="special">!(</span><span class="identifier">x</span>
|
||
<span class="special">==</span> <span class="identifier">y</span><span class="special">)</span></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
O(size of state)
|
||
</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>
|
||
The <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">Pseudo-random
|
||
number generators</a> offered in this library have been chosen from a
|
||
few families with different underlying principle of operation based on their
|
||
performance and quality characteristics. None of the generators are capable
|
||
of producing sequences which are indistinguishable from random for longer
|
||
than approximately the cubic root of their period. Thus, the generators with
|
||
a period of 2<sup>32</sup> or less (most of them are linear congruential generators)
|
||
are suitable only for a program or simulation which needs only a few hundred
|
||
random numbers.
|
||
</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 34.6. 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>
|
||
2<sup>31</sup>-2
|
||
</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">98</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>
|
||
__mixmax
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
~10<sup>294</sup>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
152
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
<span class="strikethrough"></span>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
unconditionally guaranteed MC convergence in up to 17 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 34.7. 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 34.8. 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/negati_1_3_35_5_6_28_1_1_1.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 34.9. 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/hypere_1_3_35_5_6_18_1_1_1.html" title="Class template hyperexponential_distribution">hyperexponential_distribution</a></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
hyperexponential distribution
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
service time of k-parallel servers each with a given service rate
|
||
and probability to be chosen
|
||
</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>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><a class="link" href="../boost/random/beta_distribution.html" title="Class template beta_distribution">beta_distribution</a></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
beta distribution
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
-
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><a class="link" href="../boost/random/laplace_distribution.html" title="Class template laplace_distribution">laplace_distribution</a></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
laplace 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 34.10. 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/non_ce_1_3_35_5_6_30_1_1_1.html" title="Class template non_central_chi_squared_distribution">non_central_chi_squared_distribution</a></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
non-central 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 34.11. 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/piecew_1_3_35_5_6_32_1_1_1.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/piecew_1_3_35_5_6_33_1_1_1.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 34.12. 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="boost_random.reference.utilities"></a><a class="link" href="reference.html#boost_random.reference.utilities" title="Utilities">Utilities</a>
|
||
</h3></div></div></div>
|
||
<div class="table">
|
||
<a name="boost_random.reference.utilities.utilities"></a><p class="title"><b>Table 34.13. Utilities</b></p>
|
||
<div class="table-contents"><table class="table" summary="Utilities">
|
||
<colgroup>
|
||
<col>
|
||
<col>
|
||
</colgroup>
|
||
<thead><tr>
|
||
<th>
|
||
<p>
|
||
Name
|
||
</p>
|
||
</th>
|
||
<th>
|
||
<p>
|
||
Description
|
||
</p>
|
||
</th>
|
||
</tr></thead>
|
||
<tbody>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><a class="link" href="../boost/random/seed_seq.html" title="Class seed_seq">seed_seq</a></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Used to seed <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">Random
|
||
Engines</a>
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><a class="link" href="../boost/random/random_number_generator.html" title="Class template random_number_generator">random_number_generator</a></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Adapts a <a class="link" href="reference.html#boost_random.reference.concepts.pseudo_random_number_generator" title="Pseudo-Random Number Generator">PseudoRandomNumberGenerator</a>
|
||
to work with std::random_shuffle
|
||
</p>
|
||
</td>
|
||
</tr>
|
||
<tr>
|
||
<td>
|
||
<p>
|
||
<code class="computeroutput"><a class="link" href="../boost/random/generate_canonical.html" title="Function template generate_canonical">generate_canonical</a></code>
|
||
</p>
|
||
</td>
|
||
<td>
|
||
<p>
|
||
Produces random floating point values with specific precision.
|
||
</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 class="toc">
|
||
<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.beta_distribution_hpp">Header <boost/random/beta_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.faure_hpp">Header <boost/random/faure.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.generate_canonical_hpp">Header <boost/random/generate_canonical.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.hyperexponential_distribution_hpp">Header <boost/random/hyperexponential_distribution.hpp></a></span></dt>
|
||
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|
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<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.laplace_distribution_hpp">Header <boost/random/laplace_distribution.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>
|
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<dt><span class="section"><a href="reference.html#header.boost.random.mixmax_hpp">Header <boost/random/mixmax.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.niederreiter_base2_hpp">Header <boost/random/niederreiter_base2.hpp></a></span></dt>
|
||
<dt><span class="section"><a href="reference.html#header.boost.random.non_central_chi_squared_distribution_hpp">Header <boost/random/non_central_chi_squared_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.sobol_hpp">Header <boost/random/sobol.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.traits_hpp">Header <boost/random/traits.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.beta_distribution_hpp"></a>Header <<a href="../../../boost/random/beta_distribution.hpp" target="_top">boost/random/beta_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/beta_distribution.html" title="Class template beta_distribution">beta_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.faure_hpp"></a>Header <<a href="../../../boost/random/faure.hpp" target="_top">boost/random/faure.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">typename</span> SeqSizeT<span class="special">,</span>
|
||
<span class="keyword">typename</span> PrimeTable <span class="special">=</span> <span class="identifier">default_faure_prime_table</span><span class="special">></span>
|
||
<span class="keyword">class</span> <a class="link" href="../boost/random/faure_engine.html" title="Class template faure_engine">faure_engine</a><span class="special">;</span>
|
||
<span class="keyword">typedef</span> <a class="link" href="../boost/random/faure_engine.html" title="Class template faure_engine">faure_engine</a><span class="special"><</span> <span class="keyword">double</span><span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">uint_least64_t</span><span class="special">,</span> <span class="identifier">default_faure_prime_table</span> <span class="special">></span> <a class="link" href="../boost/random/faure.html" title="Type definition faure"><span class="identifier">faure</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.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.generate_canonical_hpp"></a>Header <<a href="../../../boost/random/generate_canonical.hpp" target="_top">boost/random/generate_canonical.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="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> bits<span class="special">,</span> <span class="keyword">typename</span> URNG<span class="special">></span>
|
||
<span class="identifier">RealType</span> <a class="link" href="../boost/random/generate_canonical.html" title="Function template generate_canonical"><span class="identifier">generate_canonical</span></a><span class="special">(</span><span class="identifier">URNG</span> <span class="special">&</span><span class="special">)</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.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.hyperexponential_distribution_hpp"></a>Header <<a href="../../../boost/random/hyperexponential_distribution.hpp" target="_top">boost/random/hyperexponential_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> RealT <span class="special">=</span> <span class="keyword">double</span><span class="special">></span> <span class="keyword">class</span> <a class="link" href="../boost/random/hypere_1_3_35_5_6_18_1_1_1.html" title="Class template hyperexponential_distribution">hyperexponential_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/invers_1_3_35_5_6_20_1_1_1.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/invers_1_3_35_5_6_20_1_1_1.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> 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">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">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.laplace_distribution_hpp"></a>Header <<a href="../../../boost/random/laplace_distribution.hpp" target="_top">boost/random/laplace_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/laplace_distribution.html" title="Class template laplace_distribution">laplace_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.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_1_3_35_5_6_24_1_1_1.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">
|
||
|
||
<a class="link" href="../BOOST_RAND_1_3_35_5_6_26_2.html" title="Macro BOOST_RANDOM_MERSENNE_TWISTER_DISCARD_THRESHOLD">BOOST_RANDOM_MERSENNE_TWISTER_DISCARD_THRESHOLD</a></pre>
|
||
<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.mixmax_hpp"></a>Header <<a href="../../../boost/random/mixmax.hpp" target="_top">boost/random/mixmax.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">int</span> Ndim<span class="special">,</span> <span class="keyword">unsigned</span> <span class="keyword">int</span> SPECIALMUL<span class="special">,</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">int64_t</span> SPECIAL<span class="special">></span>
|
||
<span class="keyword">class</span> <a class="link" href="../boost/random/mixmax_engine.html" title="Class template mixmax_engine">mixmax_engine</a><span class="special">;</span>
|
||
<span class="keyword">typedef</span> <a class="link" href="../boost/random/mixmax_engine.html" title="Class template mixmax_engine">mixmax_engine</a><span class="special"><</span> <span class="number">17</span><span class="special">,</span> <span class="number">36</span><span class="special">,</span> <span class="number">0</span> <span class="special">></span> <a class="link" href="../boost/random/mixmax.html" title="Type definition mixmax"><span class="identifier">mixmax</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.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/negati_1_3_35_5_6_28_1_1_1.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.niederreiter_base2_hpp"></a>Header <<a href="../../../boost/random/niederreiter_base2.hpp" target="_top">boost/random/niederreiter_base2.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">unsigned</span> w<span class="special">,</span>
|
||
<span class="keyword">typename</span> Nb2Table <span class="special">=</span> <span class="identifier">default_niederreiter_base2_table</span><span class="special">></span>
|
||
<span class="keyword">class</span> <a class="link" href="../boost/random/niederreiter_base2_engine.html" title="Class template niederreiter_base2_engine">niederreiter_base2_engine</a><span class="special">;</span>
|
||
<span class="keyword">typedef</span> <a class="link" href="../boost/random/niederreiter_base2_engine.html" title="Class template niederreiter_base2_engine">niederreiter_base2_engine</a><span class="special"><</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">uint_least64_t</span><span class="special">,</span> <span class="number">64u</span><span class="special">,</span> <span class="identifier">default_niederreiter_base2_table</span> <span class="special">></span> <a class="link" href="../boost/random/niederreiter_base2.html" title="Type definition niederreiter_base2"><span class="identifier">niederreiter_base2</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.non_central_chi_squared_distribution_hpp"></a>Header <<a href="../../../boost/random/non_central_chi_squared_distribution.hpp" target="_top">boost/random/non_central_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/non_ce_1_3_35_5_6_30_1_1_1.html" title="Class template non_central_chi_squared_distribution">non_central_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.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/piecew_1_3_35_5_6_32_1_1_1.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/piecew_1_3_35_5_6_33_1_1_1.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/subtra_1_3_35_5_6_42_1_1_1.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/subtra_1_3_35_5_6_42_1_1_1.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.sobol_hpp"></a>Header <<a href="../../../boost/random/sobol.hpp" target="_top">boost/random/sobol.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">unsigned</span> w<span class="special">,</span>
|
||
<span class="keyword">typename</span> SobolTables <span class="special">=</span> <span class="identifier">default_sobol_table</span><span class="special">></span>
|
||
<span class="keyword">class</span> <a class="link" href="../boost/random/sobol_engine.html" title="Class template sobol_engine">sobol_engine</a><span class="special">;</span>
|
||
<span class="keyword">typedef</span> <a class="link" href="../boost/random/sobol_engine.html" title="Class template sobol_engine">sobol_engine</a><span class="special"><</span> <span class="identifier">boost</span><span class="special">::</span><span class="identifier">uint_least64_t</span><span class="special">,</span> <span class="number">64u</span><span class="special">,</span> <span class="identifier">default_sobol_table</span> <span class="special">></span> <a class="link" href="../boost/random/sobol.html" title="Type definition sobol"><span class="identifier">sobol</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> 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/subtra_1_3_35_5_6_42_1_1_1.html" title="Class template subtract_with_carry_01_engine">subtract_with_carry_01_engine</a><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="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_1_3_35_5_6_24_1_1_1.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_1_3_35_5_6_24_1_1_1.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_1_3_35_5_6_24_1_1_1.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.traits_hpp"></a>Header <<a href="../../../boost/random/traits.hpp" target="_top">boost/random/traits.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">namespace</span> <span class="identifier">traits</span> <span class="special">{</span>
|
||
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> T<span class="special">></span> <span class="keyword">struct</span> <a class="link" href="../boost/random/traits/is_integral.html" title="Struct template is_integral">is_integral</a><span class="special">;</span>
|
||
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> T<span class="special">></span> <span class="keyword">struct</span> <a class="link" href="../boost/random/traits/is_signed.html" title="Struct template is_signed">is_signed</a><span class="special">;</span>
|
||
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> T<span class="special">></span> <span class="keyword">struct</span> <a class="link" href="../boost/random/traits/make_unsigned.html" title="Struct template make_unsigned">make_unsigned</a><span class="special">;</span>
|
||
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> T<span class="special">></span> <span class="keyword">struct</span> <a class="link" href="../boost/random/traits/make_unsigned_or_unbounded.html" title="Struct template make_unsigned_or_unbounded">make_unsigned_or_unbounded</a><span class="special">;</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.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>
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||
<td align="left"></td>
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||
<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>)
|
||
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||
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