comparison DEPENDENCIES/generic/include/boost/numeric/interval/interval.hpp @ 16:2665513ce2d3

Add boost headers

+/* Boost interval/interval.hpp header file
+ *
+ * Copyright 2002-2003 Hervé Brönnimann, Guillaume Melquiond, Sylvain Pion
+ *
+ * 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)
+ */
+
+#ifndef BOOST_NUMERIC_INTERVAL_INTERVAL_HPP
+#define BOOST_NUMERIC_INTERVAL_INTERVAL_HPP
+
+#include <stdexcept>
+#include <string>
+#include <boost/numeric/interval/detail/interval_prototype.hpp>
+
+namespace boost {
+namespace numeric {
+
+namespace interval_lib {
+    
+class comparison_error
+  : public std::runtime_error 
+{
+public:
+  comparison_error()
+    : std::runtime_error("boost::interval: uncertain comparison")
+  { }
+};
+
+} // namespace interval_lib
+
+/*
+ * interval class
+ */
+
+template<class T, class Policies>
+class interval
+{
+private:
+  struct interval_holder;
+  struct number_holder;
+public:
+  typedef T base_type;
+  typedef Policies traits_type;
+
+  T const &lower() const;
+  T const &upper() const;
+
+  interval();
+  interval(T const &v);
+  template<class T1> interval(T1 const &v);
+  interval(T const &l, T const &u);
+  template<class T1, class T2> interval(T1 const &l, T2 const &u);
+  interval(interval<T, Policies> const &r);
+  template<class Policies1> interval(interval<T, Policies1> const &r);
+  template<class T1, class Policies1> interval(interval<T1, Policies1> const &r);
+
+  interval &operator=(T const &v);
+  template<class T1> interval &operator=(T1 const &v);
+  interval &operator=(interval<T, Policies> const &r);
+  template<class Policies1> interval &operator=(interval<T, Policies1> const &r);
+  template<class T1, class Policies1> interval &operator=(interval<T1, Policies1> const &r);
+ 
+  void assign(const T& l, const T& u);
+
+  static interval empty();
+  static interval whole();
+  static interval hull(const T& x, const T& y);
+
+  interval& operator+= (const T& r);
+  interval& operator+= (const interval& r);
+  interval& operator-= (const T& r);
+  interval& operator-= (const interval& r);
+  interval& operator*= (const T& r);
+  interval& operator*= (const interval& r);
+  interval& operator/= (const T& r);
+  interval& operator/= (const interval& r);
+
+  bool operator< (const interval_holder& r) const;
+  bool operator> (const interval_holder& r) const;
+  bool operator<= (const interval_holder& r) const;
+  bool operator>= (const interval_holder& r) const;
+  bool operator== (const interval_holder& r) const;
+  bool operator!= (const interval_holder& r) const;
+
+  bool operator< (const number_holder& r) const;
+  bool operator> (const number_holder& r) const;
+  bool operator<= (const number_holder& r) const;
+  bool operator>= (const number_holder& r) const;
+  bool operator== (const number_holder& r) const;
+  bool operator!= (const number_holder& r) const;
+
+  // the following is for internal use only, it is not a published interface
+  // nevertheless, it's public because friends don't always work correctly.
+  interval(const T& l, const T& u, bool): low(l), up(u) {}
+  void set_empty();
+  void set_whole();
+  void set(const T& l, const T& u);
+
+private:
+  struct interval_holder {
+    template<class Policies2>
+    interval_holder(const interval<T, Policies2>& r)
+      : low(r.lower()), up(r.upper())
+    {
+      typedef typename Policies2::checking checking2;
+      if (checking2::is_empty(low, up))
+        throw interval_lib::comparison_error();
+    }
+
+    const T& low;
+    const T& up;
+  };
+
+  struct number_holder {
+    number_holder(const T& r) : val(r)
+    {
+      typedef typename Policies::checking checking;
+      if (checking::is_nan(r))
+        throw interval_lib::comparison_error();
+    }
+    
+    const T& val;
+  };
+
+  typedef typename Policies::checking checking;
+  typedef typename Policies::rounding rounding;
+
+  T low;
+  T up;
+};
+
+template<class T, class Policies> inline
+interval<T, Policies>::interval():
+  low(static_cast<T>(0)), up(static_cast<T>(0))
+{}
+
+template<class T, class Policies> inline
+interval<T, Policies>::interval(T const &v): low(v), up(v)
+{
+  if (checking::is_nan(v)) set_empty();
+}
+
+template<class T, class Policies> template<class T1> inline
+interval<T, Policies>::interval(T1 const &v)
+{
+  if (checking::is_nan(v)) set_empty();
+  else {
+    rounding rnd;
+    low = rnd.conv_down(v);
+    up  = rnd.conv_up  (v);
+  }
+}
+
+template<class T, class Policies> template<class T1, class T2> inline
+interval<T, Policies>::interval(T1 const &l, T2 const &u)
+{
+  if (checking::is_nan(l) || checking::is_nan(u) || !(l <= u)) set_empty();
+  else {
+    rounding rnd;
+    low = rnd.conv_down(l);
+    up  = rnd.conv_up  (u);
+  }
+}
+
+template<class T, class Policies> inline
+interval<T, Policies>::interval(T const &l, T const &u): low(l), up(u)
+{
+  if (checking::is_nan(l) || checking::is_nan(u) || !(l <= u))
+    set_empty();
+}
+
+
+template<class T, class Policies> inline
+interval<T, Policies>::interval(interval<T, Policies> const &r): low(r.lower()), up(r.upper())
+{}
+
+template<class T, class Policies> template<class Policies1> inline
+interval<T, Policies>::interval(interval<T, Policies1> const &r): low(r.lower()), up(r.upper())
+{
+  typedef typename Policies1::checking checking1;
+  if (checking1::is_empty(r.lower(), r.upper())) set_empty();
+}
+
+template<class T, class Policies> template<class T1, class Policies1> inline
+interval<T, Policies>::interval(interval<T1, Policies1> const &r)
+{
+  typedef typename Policies1::checking checking1;
+  if (checking1::is_empty(r.lower(), r.upper())) set_empty();
+  else {
+    rounding rnd;
+    low = rnd.conv_down(r.lower());
+    up  = rnd.conv_up  (r.upper());
+  }
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> &interval<T, Policies>::operator=(T const &v)
+{
+  if (checking::is_nan(v)) set_empty();
+  else low = up = v;
+  return *this;
+}
+
+template<class T, class Policies> template<class T1> inline
+interval<T, Policies> &interval<T, Policies>::operator=(T1 const &v)
+{
+  if (checking::is_nan(v)) set_empty();
+  else {
+    rounding rnd;
+    low = rnd.conv_down(v);
+    up  = rnd.conv_up  (v);
+  }
+  return *this;
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> &interval<T, Policies>::operator=(interval<T, Policies> const &r)
+{
+  low = r.lower();
+  up  = r.upper();
+  return *this;
+}
+
+template<class T, class Policies> template<class Policies1> inline
+interval<T, Policies> &interval<T, Policies>::operator=(interval<T, Policies1> const &r)
+{
+  typedef typename Policies1::checking checking1;
+  if (checking1::is_empty(r.lower(), r.upper())) set_empty();
+  else {
+    low = r.lower();
+    up  = r.upper();
+  }
+  return *this;
+}
+
+template<class T, class Policies> template<class T1, class Policies1> inline
+interval<T, Policies> &interval<T, Policies>::operator=(interval<T1, Policies1> const &r)
+{
+  typedef typename Policies1::checking checking1;
+  if (checking1::is_empty(r.lower(), r.upper())) set_empty();
+  else {
+    rounding rnd;
+    low = rnd.conv_down(r.lower());
+    up  = rnd.conv_up  (r.upper());
+  }
+  return *this;
+}
+
+template<class T, class Policies> inline
+void interval<T, Policies>::assign(const T& l, const T& u)
+{
+  if (checking::is_nan(l) || checking::is_nan(u) || !(l <= u))
+    set_empty();
+  else set(l, u);
+}
+
+template<class T, class Policies> inline
+void interval<T, Policies>::set(const T& l, const T& u)
+{
+  low = l;
+  up  = u;
+}
+
+template<class T, class Policies> inline
+void interval<T, Policies>::set_empty()
+{
+  low = checking::empty_lower();
+  up  = checking::empty_upper();
+}
+
+template<class T, class Policies> inline
+void interval<T, Policies>::set_whole()
+{
+  low = checking::neg_inf();
+  up  = checking::pos_inf();
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> interval<T, Policies>::hull(const T& x, const T& y)
+{
+  bool bad_x = checking::is_nan(x);
+  bool bad_y = checking::is_nan(y);
+  if (bad_x)
+    if (bad_y) return interval::empty();
+    else       return interval(y, y, true);
+  else
+    if (bad_y) return interval(x, x, true);
+  if (x <= y) return interval(x, y, true);
+  else        return interval(y, x, true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> interval<T, Policies>::empty()
+{
+  return interval<T, Policies>(checking::empty_lower(),
+                               checking::empty_upper(), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> interval<T, Policies>::whole()
+{
+  return interval<T, Policies>(checking::neg_inf(), checking::pos_inf(), true);
+}
+
+template<class T, class Policies> inline
+const T& interval<T, Policies>::lower() const
+{
+  return low;
+}
+
+template<class T, class Policies> inline
+const T& interval<T, Policies>::upper() const
+{
+  return up;
+}
+
+/*
+ * interval/interval comparisons
+ */
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator< (const interval_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (up < r.low) return true;
+    else if (low >= r.up) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator> (const interval_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (low > r.up) return true;
+    else if (up <= r.low) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator<= (const interval_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (up <= r.low) return true;
+    else if (low > r.up) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator>= (const interval_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (low >= r.up) return true;
+    else if (up < r.low) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator== (const interval_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (up == r.low && low == r.up) return true;
+    else if (up < r.low || low > r.up) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator!= (const interval_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (up < r.low || low > r.up) return true;
+    else if (up == r.low && low == r.up) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+/*
+ * interval/number comparisons
+ */
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator< (const number_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (up < r.val) return true;
+    else if (low >= r.val) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator> (const number_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (low > r.val) return true;
+    else if (up <= r.val) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator<= (const number_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (up <= r.val) return true;
+    else if (low > r.val) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator>= (const number_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (low >= r.val) return true;
+    else if (up < r.val) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator== (const number_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (up == r.val && low == r.val) return true;
+    else if (up < r.val || low > r.val) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+template<class T, class Policies> inline
+bool interval<T, Policies>::operator!= (const number_holder& r) const
+{
+  if (!checking::is_empty(low, up)) {
+    if (up < r.val || low > r.val) return true;
+    else if (up == r.val && low == r.val) return false;
+  }
+  throw interval_lib::comparison_error();
+}
+
+} // namespace numeric
+} // namespace boost
+
+#endif // BOOST_NUMERIC_INTERVAL_INTERVAL_HPP