===================================================================
@@ -1360,6 +1360,242 @@
const nakagami_distribution<_RealType>& __d2)
{ return !(__d1 == __d2); }
+
+ /**
+ * @brief A Pareto continuous distribution for random numbers.
+ *
+ * The formula for the Pareto cumulative probability function is
+ * @f[
+ * P(x|\alpha,\mu) = 1 - \left(\frac{\mu}{x}\right)^\alpha
+ * @f]
+ * The formula for the Pareto probability density function is
+ * @f[
+ * p(x|\alpha,\mu) = \frac{\alpha + 1}{\mu}
+ * \left(\frac{\mu}{x}\right)^{\alpha + 1}
+ * @f]
+ * where @f$x >= \mu@f$ and @f$\mu > 0@f$, @f$\alpha > 0@f$.
+ *
+ * <table border=1 cellpadding=10 cellspacing=0>
+ * <caption align=top>Distribution Statistics</caption>
+ * <tr><td>Mean</td><td>@f$\alpha \mu / (\alpha - 1)@f$
+ * for @f$\alpha > 1@f$</td></tr>
+ * <tr><td>Variance</td><td>@f$\alpha \mu^2 / [(\alpha - 1)^2(\alpha - 2)]@f$
+ * for @f$\alpha > 2@f$</td></tr>
+ * <tr><td>Range</td><td>@f$[\mu, \infty)@f$</td></tr>
+ * </table>
+ */
+ template<typename _RealType = double>
+ class
+ pareto_distribution
+ {
+ static_assert(std::is_floating_point<_RealType>::value,
+ "template argument not a floating point type");
+
+ public:
+ /** The type of the range of the distribution. */
+ typedef _RealType result_type;
+ /** Parameter type. */
+ struct param_type
+ {
+ typedef pareto_distribution<result_type> distribution_type;
+
+ param_type(result_type __alpha = result_type(1),
+ result_type __mu = result_type(1))
+ : _M_alpha(__alpha), _M_mu(__mu)
+ {
+ _GLIBCXX_DEBUG_ASSERT(_M_alpha > result_type(0));
+ _GLIBCXX_DEBUG_ASSERT(_M_mu > result_type(0));
+ }
+
+ result_type
+ alpha() const
+ { return _M_alpha; }
+
+ result_type
+ mu() const
+ { return _M_mu; }
+
+ friend bool
+ operator==(const param_type& __p1, const param_type& __p2)
+ { return __p1._M_alpha == __p2._M_alpha && __p1._M_mu == __p2._M_mu; }
+
+ private:
+ void _M_initialize();
+
+ result_type _M_alpha;
+ result_type _M_mu;
+ };
+
+ /**
+ * @brief Constructors.
+ */
+ explicit
+ pareto_distribution(result_type __alpha = result_type(1),
+ result_type __mu = result_type(1))
+ : _M_param(__alpha, __mu),
+ _M_ud()
+ { }
+
+ explicit
+ pareto_distribution(const param_type& __p)
+ : _M_param(__p),
+ _M_ud()
+ { }
+
+ /**
+ * @brief Resets the distribution state.
+ */
+ void
+ reset()
+ {
+ _M_ud.reset();
+ }
+
+ /**
+ * @brief Return the parameters of the distribution.
+ */
+ result_type
+ alpha() const
+ { return _M_param.alpha(); }
+
+ result_type
+ mu() const
+ { return _M_param.mu(); }
+
+ /**
+ * @brief Returns the parameter set of the distribution.
+ */
+ param_type
+ param() const
+ { return _M_param; }
+
+ /**
+ * @brief Sets the parameter set of the distribution.
+ * @param __param The new parameter set of the distribution.
+ */
+ void
+ param(const param_type& __param)
+ { _M_param = __param; }
+
+ /**
+ * @brief Returns the greatest lower bound value of the distribution.
+ */
+ result_type
+ min() const
+ { return this->mu(); }
+
+ /**
+ * @brief Returns the least upper bound value of the distribution.
+ */
+ result_type
+ max() const
+ { return std::numeric_limits<result_type>::max(); }
+
+ /**
+ * @brief Generating functions.
+ */
+ template<typename _UniformRandomNumberGenerator>
+ result_type
+ operator()(_UniformRandomNumberGenerator& __urng)
+ {
+ return this->mu() * std::pow(this->_M_ud(__urng),
+ -result_type(1) / this->alpha());
+ }
+
+ template<typename _UniformRandomNumberGenerator>
+ result_type
+ operator()(_UniformRandomNumberGenerator& __urng,
+ const param_type& __p)
+ {
+ return __p.mu() * std::pow(this->_M_ud(__urng),
+ -result_type(1) / __p.alpha());
+ }
+
+ template<typename _ForwardIterator,
+ typename _UniformRandomNumberGenerator>
+ void
+ __generate(_ForwardIterator __f, _ForwardIterator __t,
+ _UniformRandomNumberGenerator& __urng)
+ { this->__generate(__f, __t, __urng, this->param()); }
+
+ template<typename _ForwardIterator,
+ typename _UniformRandomNumberGenerator>
+ void
+ __generate(_ForwardIterator __f, _ForwardIterator __t,
+ _UniformRandomNumberGenerator& __urng,
+ const param_type& __p)
+ { this->__generate_impl(__f, __t, __urng, __p); }
+
+ template<typename _UniformRandomNumberGenerator>
+ void
+ __generate(result_type* __f, result_type* __t,
+ _UniformRandomNumberGenerator& __urng,
+ const param_type& __p)
+ { this->__generate_impl(__f, __t, __urng, __p); }
+
+ /**
+ * @brief Return true if two Pareto distributions have
+ * the same parameters and the sequences that would
+ * be generated are equal.
+ */
+ friend bool
+ operator==(const pareto_distribution& __d1,
+ const pareto_distribution& __d2)
+ { return (__d1.param() == __d2.param()
+ && __d1._M_ud == __d2._M_ud); }
+
+ /**
+ * @brief Inserts a %pareto_distribution random number distribution
+ * @p __x into the output stream @p __os.
+ *
+ * @param __os An output stream.
+ * @param __x A %pareto_distribution random number distribution.
+ *
+ * @returns The output stream with the state of @p __x inserted or in
+ * an error state.
+ */
+ template<typename _RealType1, typename _CharT, typename _Traits>
+ friend std::basic_ostream<_CharT, _Traits>&
+ operator<<(std::basic_ostream<_CharT, _Traits>&,
+ const pareto_distribution<_RealType1>&);
+
+ /**
+ * @brief Extracts a %pareto_distribution random number distribution
+ * @p __x from the input stream @p __is.
+ *
+ * @param __is An input stream.
+ * @param __x A %pareto_distribution random number
+ * generator engine.
+ *
+ * @returns The input stream with @p __x extracted or in an error state.
+ */
+ template<typename _RealType1, typename _CharT, typename _Traits>
+ friend std::basic_istream<_CharT, _Traits>&
+ operator>>(std::basic_istream<_CharT, _Traits>&,
+ pareto_distribution<_RealType1>&);
+
+ private:
+ template<typename _ForwardIterator,
+ typename _UniformRandomNumberGenerator>
+ void
+ __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
+ _UniformRandomNumberGenerator& __urng,
+ const param_type& __p);
+
+ param_type _M_param;
+
+ std::uniform_real_distribution<result_type> _M_ud;
+ };
+
+ /**
+ * @brief Return true if two Pareto distributions are not equal.
+ */
+ template<typename _RealType>
+ inline bool
+ operator!=(const pareto_distribution<_RealType>& __d1,
+ const pareto_distribution<_RealType>& __d2)
+ { return !(__d1 == __d2); }
+
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace __gnu_cxx
===================================================================
@@ -848,6 +848,70 @@
return __is;
}
+
+ template<typename _RealType>
+ template<typename _OutputIterator,
+ typename _UniformRandomNumberGenerator>
+ void
+ pareto_distribution<_RealType>::
+ __generate_impl(_OutputIterator __f, _OutputIterator __t,
+ _UniformRandomNumberGenerator& __urng,
+ const param_type& __p)
+ {
+ __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator>)
+
+ result_type __mu = __p.mu();
+ result_type __malphinv = -result_type(1) / __p.alpha();
+ while (__f != __t)
+ *__f++ = __mu * std::pow(this->_M_ud(__urng), __malphinv);
+ }
+
+ template<typename _RealType, typename _CharT, typename _Traits>
+ std::basic_ostream<_CharT, _Traits>&
+ operator<<(std::basic_ostream<_CharT, _Traits>& __os,
+ const pareto_distribution<_RealType>& __x)
+ {
+ typedef std::basic_ostream<_CharT, _Traits> __ostream_type;
+ typedef typename __ostream_type::ios_base __ios_base;
+
+ const typename __ios_base::fmtflags __flags = __os.flags();
+ const _CharT __fill = __os.fill();
+ const std::streamsize __precision = __os.precision();
+ const _CharT __space = __os.widen(' ');
+ __os.flags(__ios_base::scientific | __ios_base::left);
+ __os.fill(__space);
+ __os.precision(std::numeric_limits<_RealType>::max_digits10);
+
+ __os << __x.alpha() << __space << __x.mu();
+ __os << __space << __x._M_ud;
+
+ __os.flags(__flags);
+ __os.fill(__fill);
+ __os.precision(__precision);
+ return __os;
+ }
+
+ template<typename _RealType, typename _CharT, typename _Traits>
+ std::basic_istream<_CharT, _Traits>&
+ operator>>(std::basic_istream<_CharT, _Traits>& __is,
+ pareto_distribution<_RealType>& __x)
+ {
+ typedef std::basic_istream<_CharT, _Traits> __istream_type;
+ typedef typename __istream_type::ios_base __ios_base;
+
+ const typename __ios_base::fmtflags __flags = __is.flags();
+ __is.flags(__ios_base::dec | __ios_base::skipws);
+
+ _RealType __alpha, __mu;
+ __is >> __alpha >> __mu;
+ __is >> __x._M_ud;
+ __x.param(typename pareto_distribution<_RealType>::
+ param_type(__alpha, __mu));
+
+ __is.flags(__flags);
+ return __is;
+ }
+
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace
===================================================================
@@ -0,0 +1,44 @@
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-09-21 Edward M. Smith-Rowland <3dw4rd@verizon.net>
+//
+// Copyright (C) 2012 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING3. If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.5.8.4.5 Class template pareto_distribution [rand.dist.ext.pareto]
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+ bool test __attribute__((unused)) = true;
+
+ __gnu_cxx::pareto_distribution<double> u(2.0, 3.0), v, w;
+
+ VERIFY( u != v );
+ VERIFY( !(v != w) );
+}
+
+int
+main()
+{
+ test01();
+ return 0;
+}
===================================================================
@@ -0,0 +1,44 @@
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-09-21 Edward M. Smith-Rowland <3dw4rd@verizon.net>
+//
+// Copyright (C) 2012 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING3. If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.5.8.4.5 Class template pareto_distribution [rand.dist.ext.pareto]
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+ bool test __attribute__((unused)) = true;
+
+ __gnu_cxx::pareto_distribution<double> u(2.0, 3.0), v, w;
+
+ VERIFY( v == w );
+ VERIFY( !(u == v) );
+}
+
+int
+main()
+{
+ test01();
+ return 0;
+}
===================================================================
@@ -0,0 +1,51 @@
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-09-21 Edward M. Smith-Rowland <3dw4rd@verizon.net>
+//
+// Copyright (C) 2012 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING3. If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.4.8.3.* Class template pareto_distribution [rand.dist.ext.pareto]
+// 26.4.2.4 Concept RandomNumberDistribution [rand.concept.dist]
+
+#include <ext/random>
+#include <sstream>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+ bool test __attribute__((unused)) = true;
+
+ std::stringstream str;
+ __gnu_cxx::pareto_distribution<double> u(1.5, 3.0), v;
+ std::minstd_rand0 rng;
+
+ u(rng); // advance
+ str << u;
+
+ str >> v;
+ VERIFY( u == v );
+}
+
+int
+main()
+{
+ test01();
+ return 0;
+}
===================================================================
@@ -0,0 +1,47 @@
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-09-21 Edward M. Smith-Rowland <3dw4rd@verizon.net>
+//
+// Copyright (C) 2012 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING3. If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.4.8.3.* Class template pareto_distribution [rand.dist.ext.pareto]
+// 26.4.2.4 Concept RandomNumberDistribution [rand.concept.dist]
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+ bool test __attribute__((unused)) = true;
+
+ __gnu_cxx::pareto_distribution<> u(1.5, 3.0);
+ VERIFY( u.alpha() == 1.5 );
+ VERIFY( u.mu() == 3.0 );
+ VERIFY( u.min() == 3.0 );
+ typedef __gnu_cxx::pareto_distribution<>::result_type result_type;
+ VERIFY( u.max() == std::numeric_limits<result_type>::max() );
+}
+
+int
+main()
+{
+ test01();
+ return 0;
+}
===================================================================
@@ -0,0 +1,47 @@
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-09-21 Edward M. Smith-Rowland <3dw4rd@verizon.net>
+//
+// Copyright (C) 2012 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING3. If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.4.8.3.* Class template pareto_distribution [rand.dist.ext.pareto]
+// 26.4.2.4 Concept RandomNumberDistribution [rand.concept.dist]
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+ bool test __attribute__((unused)) = true;
+
+ __gnu_cxx::pareto_distribution<> u;
+ VERIFY( u.alpha() == 1.0 );
+ VERIFY( u.mu() == 1.0 );
+ VERIFY( u.min() == 1.0 );
+ typedef __gnu_cxx::pareto_distribution<>::result_type result_type;
+ VERIFY( u.max() == std::numeric_limits<result_type>::max() );
+}
+
+int
+main()
+{
+ test01();
+ return 0;
+}
===================================================================
@@ -0,0 +1,26 @@
+// { dg-do compile }
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// Copyright (C) 2012 Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING3. If not see
+// <http://www.gnu.org/licenses/>.
+
+#include <ext/random>
+
+template class __gnu_cxx::pareto_distribution<float>;
+template class __gnu_cxx::pareto_distribution<double>;
+template class __gnu_cxx::pareto_distribution<long double>;
===================================================================
@@ -0,0 +1,36 @@
+// { dg-do compile }
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-09-21 Edward M. Smith-Rowland <3dw4rd@verizon.net>
+//
+// Copyright (C) 2012 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING3. If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.4.8.3.* Class template pareto_distribution [rand.dist.ext.pareto]
+// 26.4.2.4 Concept RandomNumberDistribution [rand.concept.dist]
+
+#include <ext/random>
+
+void
+test01()
+{
+ typedef __gnu_cxx::pareto_distribution<double> test_type;
+
+ typedef test_type::result_type result_type;
+ typedef test_type::param_type param_type;
+}