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+/* boost random/triangle_distribution.hpp header file
+ *
+ * Copyright Jens Maurer 2000-2001
+ * Copyright Steven Watanabe 2011
+ * Distributed under the Boost Software License, Version 1.0. (See
+ * accompanying file LICENSE_1_0.txt or copy at
+ * http://www.boost.org/LICENSE_1_0.txt)
+ *
+ * See http://www.boost.org for most recent version including documentation.
+ *
+ * $Id$
+ *
+ * Revision history
+ * 2001-02-18 moved to individual header files
+ */
+
+#ifndef BOOST_RANDOM_TRIANGLE_DISTRIBUTION_HPP
+#define BOOST_RANDOM_TRIANGLE_DISTRIBUTION_HPP
+
+#include <boost/config/no_tr1/cmath.hpp>
+#include <iosfwd>
+#include <ios>
+#include <istream>
+#include <boost/assert.hpp>
+#include <boost/random/detail/config.hpp>
+#include <boost/random/detail/operators.hpp>
+#include <boost/random/uniform_01.hpp>
+
+namespace boost {
+namespace random {
+
+/**
+ * Instantiations of @c triangle_distribution model a \random_distribution.
+ * A @c triangle_distribution has three parameters, @c a, @c b, and @c c,
+ * which are the smallest, the most probable and the largest values of
+ * the distribution respectively.
+ */
+template<class RealType = double>
+class triangle_distribution
+{
+public:
+ typedef RealType input_type;
+ typedef RealType result_type;
+
+ class param_type
+ {
+ public:
+
+ typedef triangle_distribution distribution_type;
+
+ /** Constructs the parameters of a @c triangle_distribution. */
+ explicit param_type(RealType a_arg = RealType(0.0),
+ RealType b_arg = RealType(0.5),
+ RealType c_arg = RealType(1.0))
+ : _a(a_arg), _b(b_arg), _c(c_arg)
+ {
+ BOOST_ASSERT(_a <= _b && _b <= _c);
+ }
+
+ /** Returns the minimum value of the distribution. */
+ RealType a() const { return _a; }
+ /** Returns the mode of the distribution. */
+ RealType b() const { return _b; }
+ /** Returns the maximum value of the distribution. */
+ RealType c() const { return _c; }
+
+ /** Writes the parameters to a @c std::ostream. */
+ BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, param_type, parm)
+ {
+ os << parm._a << " " << parm._b << " " << parm._c;
+ return os;
+ }
+
+ /** Reads the parameters from a @c std::istream. */
+ BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, param_type, parm)
+ {
+ double a_in, b_in, c_in;
+ if(is >> a_in >> std::ws >> b_in >> std::ws >> c_in) {
+ if(a_in <= b_in && b_in <= c_in) {
+ parm._a = a_in;
+ parm._b = b_in;
+ parm._c = c_in;
+ } else {
+ is.setstate(std::ios_base::failbit);
+ }
+ }
+ return is;
+ }
+
+ /** Returns true if the two sets of parameters are equal. */
+ BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(param_type, lhs, rhs)
+ { return lhs._a == rhs._a && lhs._b == rhs._b && lhs._c == rhs._c; }
+
+ /** Returns true if the two sets of parameters are different. */
+ BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(param_type)
+
+ private:
+ RealType _a;
+ RealType _b;
+ RealType _c;
+ };
+
+ /**
+ * Constructs a @c triangle_distribution with the parameters
+ * @c a, @c b, and @c c.
+ *
+ * Preconditions: a <= b <= c.
+ */
+ explicit triangle_distribution(RealType a_arg = RealType(0.0),
+ RealType b_arg = RealType(0.5),
+ RealType c_arg = RealType(1.0))
+ : _a(a_arg), _b(b_arg), _c(c_arg)
+ {
+ BOOST_ASSERT(_a <= _b && _b <= _c);
+ init();
+ }
+
+ /** Constructs a @c triangle_distribution from its parameters. */
+ explicit triangle_distribution(const param_type& parm)
+ : _a(parm.a()), _b(parm.b()), _c(parm.c())
+ {
+ init();
+ }
+
+ // compiler-generated copy ctor and assignment operator are fine
+
+ /** Returns the @c a parameter of the distribution */
+ result_type a() const { return _a; }
+ /** Returns the @c b parameter of the distribution */
+ result_type b() const { return _b; }
+ /** Returns the @c c parameter of the distribution */
+ result_type c() const { return _c; }
+
+ /** Returns the smallest value that the distribution can produce. */
+ RealType min BOOST_PREVENT_MACRO_SUBSTITUTION () const { return _a; }
+ /** Returns the largest value that the distribution can produce. */
+ RealType max BOOST_PREVENT_MACRO_SUBSTITUTION () const { return _c; }
+
+ /** Returns the parameters of the distribution. */
+ param_type param() const { return param_type(_a, _b, _c); }
+ /** Sets the parameters of the distribution. */
+ void param(const param_type& parm)
+ {
+ _a = parm.a();
+ _b = parm.b();
+ _c = parm.c();
+ init();
+ }
+
+ /**
+ * Effects: Subsequent uses of the distribution do not depend
+ * on values produced by any engine prior to invoking reset.
+ */
+ void reset() { }
+
+ /**
+ * Returns a random variate distributed according to the
+ * triangle distribution.
+ */
+ template<class Engine>
+ result_type operator()(Engine& eng)
+ {
+ using std::sqrt;
+ result_type u = uniform_01<>()(eng);
+ if( u <= q1 )
+ return _a + p1*sqrt(u);
+ else
+ return _c - d3*sqrt(d2*u-d1);
+ }
+
+ /**
+ * Returns a random variate distributed according to the
+ * triangle distribution with parameters specified by param.
+ */
+ template<class Engine>
+ result_type operator()(Engine& eng, const param_type& parm)
+ { return triangle_distribution(parm)(eng); }
+
+ /** Writes the distribution to a @c std::ostream. */
+ BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, triangle_distribution, td)
+ {
+ os << td.param();
+ return os;
+ }
+
+ /** Reads the distribution from a @c std::istream. */
+ BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, triangle_distribution, td)
+ {
+ param_type parm;
+ if(is >> parm) {
+ td.param(parm);
+ }
+ return is;
+ }
+
+ /**
+ * Returns true if the two distributions will produce identical
+ * sequences of values given equal generators.
+ */
+ BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(triangle_distribution, lhs, rhs)
+ { return lhs._a == rhs._a && lhs._b == rhs._b && lhs._c == rhs._c; }
+
+ /**
+ * Returns true if the two distributions may produce different
+ * sequences of values given equal generators.
+ */
+ BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(triangle_distribution)
+
+private:
+ /// \cond show_private
+ void init()
+ {
+ using std::sqrt;
+ d1 = _b - _a;
+ d2 = _c - _a;
+ d3 = sqrt(_c - _b);
+ q1 = d1 / d2;
+ p1 = sqrt(d1 * d2);
+ }
+ /// \endcond
+
+ RealType _a, _b, _c;
+ RealType d1, d2, d3, q1, p1;
+};
+
+} // namespace random
+
+using random::triangle_distribution;
+
+} // namespace boost
+
+#endif // BOOST_RANDOM_TRIANGLE_DISTRIBUTION_HPP