Patchwork Add the Hoyt and the arcsine distributions as extensions.

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Submitter Ed Smith-Rowland
Date Oct. 12, 2012, 3:16 p.m.
Message ID <5078345B.5010306@verizon.net>
Download mbox | patch
Permalink /patch/191152/
State New
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Comments

Ed Smith-Rowland - Oct. 12, 2012, 3:16 p.m.
On 10/12/2012 10:50 AM, Paolo Carlini wrote:
> On 10/12/2012 04:19 PM, Ed Smith-Rowland wrote:
>> These are my last two random distribution extensions for now.
> Thanks a lot!
>> The main on is the Hoyt distribution (AKA the Nakagami-q 
>> distribution).  It uses the arcsine with specified basis.  The 
>> arcsine distribution is a specialization of the beta distribution 
>> except I need this to go from arbitrary (a,b) rather than (0, 1).
>>
>> Tested on x86_64-linux.
>>
>> OK?
> Looks Ok, yes. Before committing please double check that you are not 
> using any C99-only cmath functions (I spotted std::sin and std::sqrt 
> which are Ok). This kind of comment:
>
> +// 26.4.8.3.* Class template arcsine_distribution 
> [rand.dist.ext.arcsine]
>
> I would do without. Otherwise, I can already see PRs complaining that 
> in C++11 there is no rand.dist.ext.arcsine ;) In a couple of years, 
> maybe.
>
> Paolo.
>
Here is the patch committed.

Ed
2012-10-12  Edward Smith-Rowland  <3dw4rd@verizon.net>

	* include/ext/random: Add __gnu_cxx::arcsine_distribution<>
	and __gnu_cxx::hoyt_distribution<> classes.
	* include/ext/random.tcc: Add out-of-line functions for
	__gnu_cxx::arcsine_distribution<> and __gnu_cxx::hoyt_distribution<>.
	* testsuite/ext/random/hoyt_distribution/cons/parms.cc: New file.
	* testsuite/ext/random/hoyt_distribution/cons/default.cc: New file.
	* testsuite/ext/random/hoyt_distribution/requirements/
	explicit_instantiation/1.cc: New file.
	* testsuite/ext/random/hoyt_distribution/requirements/typedefs.cc:
	New file.
	* testsuite/ext/random/hoyt_distribution/operators/inequal.cc: New file.
	* testsuite/ext/random/hoyt_distribution/operators/equal.cc: New file.
	* testsuite/ext/random/hoyt_distribution/operators/serialize.cc:
	New file.
	* testsuite/ext/random/arcsine_distribution/cons/parms.cc: New file.
	* testsuite/ext/random/arcsine_distribution/cons/default.cc: New file.
	* testsuite/ext/random/arcsine_distribution/requirements/
	explicit_instantiation/1.cc: New file.
	* testsuite/ext/random/arcsine_distribution/requirements/typedefs.cc:
	New file.
	* testsuite/ext/random/arcsine_distribution/operators/inequal.cc:
	New file.
	* testsuite/ext/random/arcsine_distribution/operators/equal.cc:
	New file.
	* testsuite/ext/random/arcsine_distribution/operators/serialize.cc:
	New file.

Patch

Index: include/ext/random
===================================================================
--- include/ext/random	(revision 192389)
+++ include/ext/random	(working copy)
@@ -1856,6 +1856,473 @@ 
 	       const k_distribution<_RealType>& __d2)
     { return !(__d1 == __d2); }
 
+
+  /**
+   * @brief An arcsine continuous distribution for random numbers.
+   *
+   * The formula for the arcsine probability density function is
+   * @f[
+   *     p(x|a,b) = \frac{1}{\pi \sqrt{(x - a)(b - x)}}
+   * @f]
+   * where @f$x >= a@f$ and @f$x <= b@f$.
+   *
+   * <table border=1 cellpadding=10 cellspacing=0>
+   * <caption align=top>Distribution Statistics</caption>
+   * <tr><td>Mean</td><td>@f$ (a + b) / 2 @f$</td></tr>
+   * <tr><td>Variance</td><td>@f$ (b - a)^2 / 8 @f$</td></tr>
+   * <tr><td>Range</td><td>@f$[a, b]@f$</td></tr>
+   * </table>
+   */
+  template<typename _RealType = double>
+    class
+    arcsine_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 arcsine_distribution<result_type> distribution_type;
+
+	param_type(result_type __a = result_type(0),
+		   result_type __b = result_type(1))
+	: _M_a(__a), _M_b(__b)
+	{
+	  _GLIBCXX_DEBUG_ASSERT(_M_a <= _M_b);
+	}
+
+	result_type
+	a() const
+	{ return _M_a; }
+
+	result_type
+	b() const
+	{ return _M_b; }
+
+	friend bool
+	operator==(const param_type& __p1, const param_type& __p2)
+	{ return __p1._M_a == __p2._M_a && __p1._M_b == __p2._M_b; }
+
+      private:
+	void _M_initialize();
+
+	result_type _M_a;
+	result_type _M_b;
+      };
+
+      /**
+       * @brief Constructors.
+       */
+      explicit
+      arcsine_distribution(result_type __a = result_type(0),
+			   result_type __b = result_type(1))
+      : _M_param(__a, __b),
+	_M_ud(-1.5707963267948966192313216916397514L,
+ 	      +1.5707963267948966192313216916397514L)
+      { }
+
+      explicit
+      arcsine_distribution(const param_type& __p)
+      : _M_param(__p),
+	_M_ud(-1.5707963267948966192313216916397514L,
+ 	      +1.5707963267948966192313216916397514L)
+      { }
+
+      /**
+       * @brief Resets the distribution state.
+       */
+      void
+      reset()
+      { _M_ud.reset(); }
+
+      /**
+       * @brief Return the parameters of the distribution.
+       */
+      result_type
+      a() const
+      { return _M_param.a(); }
+
+      result_type
+      b() const
+      { return _M_param.b(); }
+
+      /**
+       * @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->a(); }
+
+      /**
+       * @brief Returns the least upper bound value of the distribution.
+       */
+      result_type
+      max() const
+      { return this->b(); }
+
+      /**
+       * @brief Generating functions.
+       */
+      template<typename _UniformRandomNumberGenerator>
+	result_type
+	operator()(_UniformRandomNumberGenerator& __urng)
+	{
+	  result_type __x = std::sin(this->_M_ud(__urng));
+	  return (__x * (this->b() - this->a())
+		  + this->a() + this->b()) / result_type(2);
+	}
+
+      template<typename _UniformRandomNumberGenerator>
+	result_type
+	operator()(_UniformRandomNumberGenerator& __urng,
+		   const param_type& __p)
+        {
+	  result_type __x = std::sin(this->_M_ud(__urng));
+	  return (__x * (__p.b() - __p.a())
+		  + __p.a() + __p.b()) / result_type(2);
+	}
+
+      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 arcsine distributions have
+       *        the same parameters and the sequences that would
+       *        be generated are equal.
+       */
+      friend bool
+      operator==(const arcsine_distribution& __d1,
+		 const arcsine_distribution& __d2)
+      { return (__d1.param() == __d2.param()
+		&& __d1._M_ud == __d2._M_ud); }
+
+      /**
+       * @brief Inserts a %arcsine_distribution random number distribution
+       * @p __x into the output stream @p __os.
+       *
+       * @param __os An output stream.
+       * @param __x  A %arcsine_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 arcsine_distribution<_RealType1>&);
+
+      /**
+       * @brief Extracts a %arcsine_distribution random number distribution
+       * @p __x from the input stream @p __is.
+       *
+       * @param __is An input stream.
+       * @param __x A %arcsine_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>&,
+		   arcsine_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 arcsine distributions are not equal.
+   */
+  template<typename _RealType>
+    inline bool
+    operator!=(const arcsine_distribution<_RealType>& __d1,
+	       const arcsine_distribution<_RealType>& __d2)
+    { return !(__d1 == __d2); }
+
+
+  /**
+   * @brief A Hoyt continuous distribution for random numbers.
+   *
+   * The formula for the Hoyt probability density function is
+   * @f[
+   *     p(x|q,\omega) = \frac{(1 + q^2)x}{q\omega}
+   *                     \exp\left(-\frac{(1 + q^2)^2 x^2}{4 q^2 \omega}\right)
+   *                       I_0\left(\frac{(1 - q^4) x^2}{4 q^2 \omega}\right)
+   * @f]
+   * where @f$I_0(z)@f$ is the modified Bessel function of the first kind
+   * of order 0 and @f$0 < q < 1@f$.
+   *
+   * <table border=1 cellpadding=10 cellspacing=0>
+   * <caption align=top>Distribution Statistics</caption>
+   * <tr><td>Mean</td><td>@f$ \sqrt{\frac{2}{\pi}} \sqrt{\frac{\omega}{1 + q^2}}
+   *                       E(1 - q^2) @f$</td></tr>
+   * <tr><td>Variance</td><td>@f$ \omega \left(1 - \frac{2E^2(1 - q^2)}
+   *                                      {\pi (1 + q^2)}\right) @f$</td></tr>
+   * <tr><td>Range</td><td>@f$[0, \infty)@f$</td></tr>
+   * </table>
+   * where @f$E(x)@f$ is the elliptic function of the second kind.
+   */
+  template<typename _RealType = double>
+    class
+    hoyt_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 hoyt_distribution<result_type> distribution_type;
+
+	param_type(result_type __q = result_type(0.5L),
+		   result_type __omega = result_type(1))
+	: _M_q(__q), _M_omega(__omega)
+	{
+	  _GLIBCXX_DEBUG_ASSERT(_M_q > result_type(0));
+	  _GLIBCXX_DEBUG_ASSERT(_M_q < result_type(1));
+	}
+
+	result_type
+	q() const
+	{ return _M_q; }
+
+	result_type
+	omega() const
+	{ return _M_omega; }
+
+	friend bool
+	operator==(const param_type& __p1, const param_type& __p2)
+	{ return __p1._M_q == __p2._M_q
+              && __p1._M_omega == __p2._M_omega; }
+
+      private:
+	void _M_initialize();
+
+	result_type _M_q;
+	result_type _M_omega;
+      };
+
+      /**
+       * @brief Constructors.
+       */
+      explicit
+      hoyt_distribution(result_type __q = result_type(0.5L),
+			result_type __omega = result_type(1))
+      : _M_param(__q, __omega),
+	_M_ad(result_type(0.5L) * (result_type(1) + __q * __q),
+	      result_type(0.5L) * (result_type(1) + __q * __q)
+				/ (__q * __q)),
+	_M_ed(result_type(1))
+      { }
+
+      explicit
+      hoyt_distribution(const param_type& __p)
+      : _M_param(__p),
+	_M_ad(result_type(0.5L) * (result_type(1) + __p.q() * __p.q()),
+	      result_type(0.5L) * (result_type(1) + __p.q() * __p.q())
+				/ (__p.q() * __p.q())),
+	_M_ed(result_type(1))
+      { }
+
+      /**
+       * @brief Resets the distribution state.
+       */
+      void
+      reset()
+      {
+	_M_ad.reset();
+	_M_ed.reset();
+      }
+
+      /**
+       * @brief Return the parameters of the distribution.
+       */
+      result_type
+      q() const
+      { return _M_param.q(); }
+
+      result_type
+      omega() const
+      { return _M_param.omega(); }
+
+      /**
+       * @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 result_type(0); }
+
+      /**
+       * @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);
+
+      template<typename _UniformRandomNumberGenerator>
+	result_type
+	operator()(_UniformRandomNumberGenerator& __urng,
+		   const param_type& __p);
+
+      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 Hoyt distributions have
+       *        the same parameters and the sequences that would
+       *        be generated are equal.
+       */
+      friend bool
+      operator==(const hoyt_distribution& __d1,
+		 const hoyt_distribution& __d2)
+      { return (__d1.param() == __d2.param()
+		&& __d1._M_ad == __d2._M_ad
+		&& __d1._M_ed == __d2._M_ed); }
+
+      /**
+       * @brief Inserts a %hoyt_distribution random number distribution
+       * @p __x into the output stream @p __os.
+       *
+       * @param __os An output stream.
+       * @param __x  A %hoyt_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 hoyt_distribution<_RealType1>&);
+
+      /**
+       * @brief Extracts a %hoyt_distribution random number distribution
+       * @p __x from the input stream @p __is.
+       *
+       * @param __is An input stream.
+       * @param __x A %hoyt_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>&,
+		   hoyt_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;
+
+      __gnu_cxx::arcsine_distribution<result_type> _M_ad;
+      std::exponential_distribution<result_type> _M_ed;
+    };
+
+  /**
+   * @brief Return true if two Hoyt distributions are not equal.
+   */
+  template<typename _RealType>
+    inline bool
+    operator!=(const hoyt_distribution<_RealType>& __d1,
+	       const hoyt_distribution<_RealType>& __d2)
+    { return !(__d1 == __d2); }
+
 _GLIBCXX_END_NAMESPACE_VERSION
 } // namespace __gnu_cxx
 
Index: include/ext/random.tcc
===================================================================
--- include/ext/random.tcc	(revision 192389)
+++ include/ext/random.tcc	(working copy)
@@ -1015,6 +1015,178 @@ 
       return __is;
     }
 
+
+  template<typename _RealType>
+    template<typename _OutputIterator,
+	     typename _UniformRandomNumberGenerator>
+      void
+      arcsine_distribution<_RealType>::
+      __generate_impl(_OutputIterator __f, _OutputIterator __t,
+		      _UniformRandomNumberGenerator& __urng,
+		      const param_type& __p)
+      {
+	__glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator>)
+
+	result_type __dif = __p.b() - __p.a();
+	result_type __sum = __p.a() + __p.b();
+	while (__f != __t)
+	  {
+	    result_type __x = std::sin(this->_M_ud(__urng));
+	    *__f++ = (__x * __dif + __sum) / result_type(2);
+	  }
+      }
+
+  template<typename _RealType, typename _CharT, typename _Traits>
+    std::basic_ostream<_CharT, _Traits>&
+    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
+	       const arcsine_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.a() << __space << __x.b();
+      __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,
+	       arcsine_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 __a, __b;
+      __is >> __a >> __b;
+      __is >> __x._M_ud;
+      __x.param(typename arcsine_distribution<_RealType>::
+		param_type(__a, __b));
+
+      __is.flags(__flags);
+      return __is;
+    }
+
+
+  template<typename _RealType>
+    template<typename _UniformRandomNumberGenerator>
+      typename hoyt_distribution<_RealType>::result_type
+      hoyt_distribution<_RealType>::
+      operator()(_UniformRandomNumberGenerator& __urng)
+      {
+	result_type __x = this->_M_ad(__urng);
+	result_type __y = this->_M_ed(__urng);
+	return (result_type(2) * this->q()
+		  / (result_type(1) + this->q() * this->q()))
+	       * std::sqrt(this->omega() * __x * __y);
+      }
+
+  template<typename _RealType>
+    template<typename _UniformRandomNumberGenerator>
+      typename hoyt_distribution<_RealType>::result_type
+      hoyt_distribution<_RealType>::
+      operator()(_UniformRandomNumberGenerator& __urng,
+		 const param_type& __p)
+      {
+	result_type __q2 = __p.q() * __p.q();
+	result_type __num = result_type(0.5L) * (result_type(1) + __q2);
+	typename __gnu_cxx::arcsine_distribution<result_type>::param_type
+	  __pa(__num, __num / __q2);
+	result_type __x = this->_M_ad(__pa, __urng);
+	result_type __y = this->_M_ed(__urng);
+	return (result_type(2) * __p.q() / (result_type(1) + __q2))
+	       * std::sqrt(__p.omega() * __x * __y);
+      }
+
+  template<typename _RealType>
+    template<typename _OutputIterator,
+	     typename _UniformRandomNumberGenerator>
+      void
+      hoyt_distribution<_RealType>::
+      __generate_impl(_OutputIterator __f, _OutputIterator __t,
+		      _UniformRandomNumberGenerator& __urng,
+		      const param_type& __p)
+      {
+	__glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator>)
+
+	result_type __2q = result_type(2) * __p.q();
+	result_type __q2 = __p.q() * __p.q();
+	result_type __q2p1 = result_type(1) + __q2;
+	result_type __num = result_type(0.5L) * __q2p1;
+	result_type __omega = __p.omega();
+	typename __gnu_cxx::arcsine_distribution<result_type>::param_type
+	  __pa(__num, __num / __q2);
+	while (__f != __t)
+	  {
+	    result_type __x = this->_M_ad(__pa, __urng);
+	    result_type __y = this->_M_ed(__urng);
+	    *__f++ = (__2q / __q2p1) * std::sqrt(__omega * __x * __y);
+	  }
+      }
+
+  template<typename _RealType, typename _CharT, typename _Traits>
+    std::basic_ostream<_CharT, _Traits>&
+    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
+	       const hoyt_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.q() << __space << __x.omega();
+      __os << __space << __x._M_ad;
+      __os << __space << __x._M_ed;
+
+      __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,
+	       hoyt_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 __q, __omega;
+      __is >> __q >> __omega;
+      __is >> __x._M_ad;
+      __is >> __x._M_ed;
+      __x.param(typename hoyt_distribution<_RealType>::
+		param_type(__q, __omega));
+
+      __is.flags(__flags);
+      return __is;
+    }
+
 _GLIBCXX_END_NAMESPACE_VERSION
 } // namespace
 
Index: testsuite/ext/random/hoyt_distribution/operators/inequal.cc
===================================================================
--- testsuite/ext/random/hoyt_distribution/operators/inequal.cc	(revision 0)
+++ testsuite/ext/random/hoyt_distribution/operators/inequal.cc	(revision 0)
@@ -0,0 +1,42 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  __gnu_cxx::hoyt_distribution<double> u(0.05, 3.0), v, w;
+
+  VERIFY( u != v );
+  VERIFY( !(v != w) );
+}
+
+int
+main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/ext/random/hoyt_distribution/operators/equal.cc
===================================================================
--- testsuite/ext/random/hoyt_distribution/operators/equal.cc	(revision 0)
+++ testsuite/ext/random/hoyt_distribution/operators/equal.cc	(revision 0)
@@ -0,0 +1,42 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  __gnu_cxx::hoyt_distribution<double> u(0.05, 3.0), v, w;
+
+  VERIFY( v == w );
+  VERIFY( !(u == v) );
+}
+
+int
+main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/ext/random/hoyt_distribution/operators/serialize.cc
===================================================================
--- testsuite/ext/random/hoyt_distribution/operators/serialize.cc	(revision 0)
+++ testsuite/ext/random/hoyt_distribution/operators/serialize.cc	(revision 0)
@@ -0,0 +1,48 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <sstream>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  std::stringstream str;
+  __gnu_cxx::hoyt_distribution<double> u(0.05, 3.0), v;
+  std::minstd_rand0 rng;
+
+  u(rng); // advance
+  str << u;
+
+  str >> v;
+  VERIFY( u == v );
+}
+
+int
+main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/ext/random/hoyt_distribution/cons/parms.cc
===================================================================
--- testsuite/ext/random/hoyt_distribution/cons/parms.cc	(revision 0)
+++ testsuite/ext/random/hoyt_distribution/cons/parms.cc	(revision 0)
@@ -0,0 +1,44 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  __gnu_cxx::hoyt_distribution<> u(0.05, 3.0);
+  VERIFY( u.q() == 0.05 );
+  VERIFY( u.omega() == 3.0 );
+  VERIFY( u.min() == 0.0 );
+  typedef __gnu_cxx::hoyt_distribution<>::result_type result_type;
+  VERIFY( u.max() == std::numeric_limits<result_type>::max() );
+}
+
+int
+main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/ext/random/hoyt_distribution/cons/default.cc
===================================================================
--- testsuite/ext/random/hoyt_distribution/cons/default.cc	(revision 0)
+++ testsuite/ext/random/hoyt_distribution/cons/default.cc	(revision 0)
@@ -0,0 +1,44 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  __gnu_cxx::hoyt_distribution<> u;
+  VERIFY( u.q() == 0.5 );
+  VERIFY( u.omega() == 1.0 );
+  VERIFY( u.min() == 0.0 );
+  typedef __gnu_cxx::hoyt_distribution<>::result_type result_type;
+  VERIFY( u.max() == std::numeric_limits<result_type>::max() );
+}
+
+int
+main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/ext/random/hoyt_distribution/requirements/explicit_instantiation/1.cc
===================================================================
--- testsuite/ext/random/hoyt_distribution/requirements/explicit_instantiation/1.cc	(revision 0)
+++ testsuite/ext/random/hoyt_distribution/requirements/explicit_instantiation/1.cc	(revision 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::hoyt_distribution<float>;
+template class __gnu_cxx::hoyt_distribution<double>;
+template class __gnu_cxx::hoyt_distribution<long double>;
Index: testsuite/ext/random/hoyt_distribution/requirements/typedefs.cc
===================================================================
--- testsuite/ext/random/hoyt_distribution/requirements/typedefs.cc	(revision 0)
+++ testsuite/ext/random/hoyt_distribution/requirements/typedefs.cc	(revision 0)
@@ -0,0 +1,33 @@ 
+// { dg-do compile }
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+
+void
+test01()
+{
+  typedef __gnu_cxx::hoyt_distribution<double> test_type;
+
+  typedef test_type::result_type result_type;
+  typedef test_type::param_type param_type;
+}
Index: testsuite/ext/random/arcsine_distribution/operators/inequal.cc
===================================================================
--- testsuite/ext/random/arcsine_distribution/operators/inequal.cc	(revision 0)
+++ testsuite/ext/random/arcsine_distribution/operators/inequal.cc	(revision 0)
@@ -0,0 +1,42 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  __gnu_cxx::arcsine_distribution<double> u(-2.0, 3.0), v, w;
+
+  VERIFY( u != v );
+  VERIFY( !(v != w) );
+}
+
+int
+main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/ext/random/arcsine_distribution/operators/equal.cc
===================================================================
--- testsuite/ext/random/arcsine_distribution/operators/equal.cc	(revision 0)
+++ testsuite/ext/random/arcsine_distribution/operators/equal.cc	(revision 0)
@@ -0,0 +1,42 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  __gnu_cxx::arcsine_distribution<double> u(-2.0, 3.0), v, w;
+
+  VERIFY( v == w );
+  VERIFY( !(u == v) );
+}
+
+int
+main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/ext/random/arcsine_distribution/operators/serialize.cc
===================================================================
--- testsuite/ext/random/arcsine_distribution/operators/serialize.cc	(revision 0)
+++ testsuite/ext/random/arcsine_distribution/operators/serialize.cc	(revision 0)
@@ -0,0 +1,48 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <sstream>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  std::stringstream str;
+  __gnu_cxx::arcsine_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;
+}
Index: testsuite/ext/random/arcsine_distribution/cons/parms.cc
===================================================================
--- testsuite/ext/random/arcsine_distribution/cons/parms.cc	(revision 0)
+++ testsuite/ext/random/arcsine_distribution/cons/parms.cc	(revision 0)
@@ -0,0 +1,43 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  __gnu_cxx::arcsine_distribution<> u(-1.5, 3.0);
+  VERIFY( u.a() == -1.5 );
+  VERIFY( u.b() == 3.0 );
+  VERIFY( u.min() == -1.5 );
+  VERIFY( u.max() == 3.0 );
+}
+
+int
+main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/ext/random/arcsine_distribution/cons/default.cc
===================================================================
--- testsuite/ext/random/arcsine_distribution/cons/default.cc	(revision 0)
+++ testsuite/ext/random/arcsine_distribution/cons/default.cc	(revision 0)
@@ -0,0 +1,43 @@ 
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+#include <testsuite_hooks.h>
+
+void
+test01()
+{
+  bool test __attribute__((unused)) = true;
+
+  __gnu_cxx::arcsine_distribution<> u;
+  VERIFY( u.a() == 0.0 );
+  VERIFY( u.b() == 1.0 );
+  VERIFY( u.min() == 0.0 );
+  VERIFY( u.max() == 1.0 );
+}
+
+int
+main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/ext/random/arcsine_distribution/requirements/explicit_instantiation/1.cc
===================================================================
--- testsuite/ext/random/arcsine_distribution/requirements/explicit_instantiation/1.cc	(revision 0)
+++ testsuite/ext/random/arcsine_distribution/requirements/explicit_instantiation/1.cc	(revision 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::arcsine_distribution<float>;
+template class __gnu_cxx::arcsine_distribution<double>;
+template class __gnu_cxx::arcsine_distribution<long double>;
Index: testsuite/ext/random/arcsine_distribution/requirements/typedefs.cc
===================================================================
--- testsuite/ext/random/arcsine_distribution/requirements/typedefs.cc	(revision 0)
+++ testsuite/ext/random/arcsine_distribution/requirements/typedefs.cc	(revision 0)
@@ -0,0 +1,33 @@ 
+// { dg-do compile }
+// { dg-options "-std=c++11" }
+// { dg-require-cstdint "" }
+//
+// 2012-10-12  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/>.
+
+#include <ext/random>
+
+void
+test01()
+{
+  typedef __gnu_cxx::arcsine_distribution<double> test_type;
+
+  typedef test_type::result_type result_type;
+  typedef test_type::param_type param_type;
+}