Added boost header

test/external/boost/numeric/interval/utility.hpp

@@ -0,0 +1,337 @@
+/* Boost interval/utility.hpp template implementation file
+ *
+ * Copyright 2000 Jens Maurer
+ * Copyright 2002-2003 Herv<72> Br<42>nnimann, 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_UTILITY_HPP
+#define BOOST_NUMERIC_INTERVAL_UTILITY_HPP
+
+#include <boost/config.hpp>
+#include <boost/numeric/interval/detail/interval_prototype.hpp>
+#include <boost/numeric/interval/detail/test_input.hpp>
+#include <boost/numeric/interval/detail/bugs.hpp>
+#include <algorithm>
+#include <utility>
+
+/*
+ * Implementation of simple functions
+ */
+
+namespace boost {
+namespace numeric {
+
+/*
+ * Utility Functions
+ */
+
+template<class T, class Policies> inline
+const T& lower(const interval<T, Policies>& x)
+{
+  return x.lower();
+}
+
+template<class T, class Policies> inline
+const T& upper(const interval<T, Policies>& x)
+{
+  return x.upper();
+}
+
+template<class T, class Policies> inline
+T checked_lower(const interval<T, Policies>& x)
+{
+  if (empty(x)) {
+    typedef typename Policies::checking checking;
+    return checking::nan();
+  }
+  return x.lower();
+}
+
+template<class T, class Policies> inline
+T checked_upper(const interval<T, Policies>& x)
+{
+  if (empty(x)) {
+    typedef typename Policies::checking checking;
+    return checking::nan();
+  }
+  return x.upper();
+}
+
+template<class T, class Policies> inline
+T width(const interval<T, Policies>& x)
+{
+  if (interval_lib::detail::test_input(x)) return static_cast<T>(0);
+  typename Policies::rounding rnd;
+  return rnd.sub_up(x.upper(), x.lower());
+}
+
+template<class T, class Policies> inline
+T median(const interval<T, Policies>& x)
+{
+  if (interval_lib::detail::test_input(x)) {
+    typedef typename Policies::checking checking;
+    return checking::nan();
+  }
+  typename Policies::rounding rnd;
+  return rnd.median(x.lower(), x.upper());
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> widen(const interval<T, Policies>& x, const T& v)
+{
+  if (interval_lib::detail::test_input(x))
+    return interval<T, Policies>::empty();
+  typename Policies::rounding rnd;
+  return interval<T, Policies>(rnd.sub_down(x.lower(), v),
+                               rnd.add_up  (x.upper(), v), true);
+}
+
+/*
+ * Set-like operations
+ */
+
+template<class T, class Policies> inline
+bool empty(const interval<T, Policies>& x)
+{
+  return interval_lib::detail::test_input(x);
+}
+
+template<class T, class Policies> inline
+bool zero_in(const interval<T, Policies>& x)
+{
+  if (interval_lib::detail::test_input(x)) return false;
+  return (!interval_lib::user::is_pos(x.lower())) &&
+         (!interval_lib::user::is_neg(x.upper()));
+}
+
+template<class T, class Policies> inline
+bool in_zero(const interval<T, Policies>& x) // DEPRECATED
+{
+  return zero_in<T, Policies>(x);
+}
+
+template<class T, class Policies> inline
+bool in(const T& x, const interval<T, Policies>& y)
+{
+  if (interval_lib::detail::test_input(x, y)) return false;
+  return y.lower() <= x && x <= y.upper();
+}
+
+template<class T, class Policies> inline
+bool subset(const interval<T, Policies>& x,
+            const interval<T, Policies>& y)
+{
+  if (empty(x)) return true;
+  return !empty(y) && y.lower() <= x.lower() && x.upper() <= y.upper();
+}
+
+template<class T, class Policies1, class Policies2> inline
+bool proper_subset(const interval<T, Policies1>& x,
+                   const interval<T, Policies2>& y)
+{
+  if (empty(y)) return false;
+  if (empty(x)) return true;
+  return y.lower() <= x.lower() && x.upper() <= y.upper() &&
+         (y.lower() != x.lower() || x.upper() != y.upper());
+}
+
+template<class T, class Policies1, class Policies2> inline
+bool overlap(const interval<T, Policies1>& x,
+             const interval<T, Policies2>& y)
+{
+  if (interval_lib::detail::test_input(x, y)) return false;
+  return (x.lower() <= y.lower() && y.lower() <= x.upper()) ||
+         (y.lower() <= x.lower() && x.lower() <= y.upper());
+}
+
+template<class T, class Policies> inline
+bool singleton(const interval<T, Policies>& x)
+{
+ return !empty(x) && x.lower() == x.upper();
+}
+
+template<class T, class Policies1, class Policies2> inline
+bool equal(const interval<T, Policies1>& x, const interval<T, Policies2>& y)
+{
+  if (empty(x)) return empty(y);
+  return !empty(y) && x.lower() == y.lower() && x.upper() == y.upper();
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> intersect(const interval<T, Policies>& x,
+                                const interval<T, Policies>& y)
+{
+  BOOST_USING_STD_MIN();
+  BOOST_USING_STD_MAX();
+  if (interval_lib::detail::test_input(x, y))
+    return interval<T, Policies>::empty();
+  const T& l = max BOOST_PREVENT_MACRO_SUBSTITUTION(x.lower(), y.lower());
+  const T& u = min BOOST_PREVENT_MACRO_SUBSTITUTION(x.upper(), y.upper());
+  if (l <= u) return interval<T, Policies>(l, u, true);
+  else        return interval<T, Policies>::empty();
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> hull(const interval<T, Policies>& x,
+                           const interval<T, Policies>& y)
+{
+  BOOST_USING_STD_MIN();
+  BOOST_USING_STD_MAX();
+  bool bad_x = interval_lib::detail::test_input(x);
+  bool bad_y = interval_lib::detail::test_input(y);
+  if (bad_x)
+    if (bad_y) return interval<T, Policies>::empty();
+    else       return y;
+  else
+    if (bad_y) return x;
+  return interval<T, Policies>(min BOOST_PREVENT_MACRO_SUBSTITUTION(x.lower(), y.lower()),
+                               max BOOST_PREVENT_MACRO_SUBSTITUTION(x.upper(), y.upper()), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> hull(const interval<T, Policies>& x, const T& y)
+{
+  BOOST_USING_STD_MIN();
+  BOOST_USING_STD_MAX();
+  bool bad_x = interval_lib::detail::test_input(x);
+  bool bad_y = interval_lib::detail::test_input<T, Policies>(y);
+  if (bad_y)
+    if (bad_x) return interval<T, Policies>::empty();
+    else       return x;
+  else
+    if (bad_x) return interval<T, Policies>(y, y, true);
+  return interval<T, Policies>(min BOOST_PREVENT_MACRO_SUBSTITUTION(x.lower(), y),
+                               max BOOST_PREVENT_MACRO_SUBSTITUTION(x.upper(), y), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> hull(const T& x, const interval<T, Policies>& y)
+{
+  BOOST_USING_STD_MIN();
+  BOOST_USING_STD_MAX();
+  bool bad_x = interval_lib::detail::test_input<T, Policies>(x);
+  bool bad_y = interval_lib::detail::test_input(y);
+  if (bad_x)
+    if (bad_y) return interval<T, Policies>::empty();
+    else       return y;
+  else
+    if (bad_y) return interval<T, Policies>(x, x, true);
+  return interval<T, Policies>(min BOOST_PREVENT_MACRO_SUBSTITUTION(x, y.lower()),
+                               max BOOST_PREVENT_MACRO_SUBSTITUTION(x, y.upper()), true);
+}
+
+template<class T> inline
+interval<T> hull(const T& x, const T& y)
+{
+  return interval<T>::hull(x, y);
+}
+
+template<class T, class Policies> inline
+std::pair<interval<T, Policies>, interval<T, Policies> >
+bisect(const interval<T, Policies>& x)
+{
+  typedef interval<T, Policies> I;
+  if (interval_lib::detail::test_input(x))
+    return std::pair<I,I>(I::empty(), I::empty());
+  const T m = median(x);
+  return std::pair<I,I>(I(x.lower(), m, true), I(m, x.upper(), true));
+}
+
+/*
+ * Elementary functions
+ */
+
+template<class T, class Policies> inline
+T norm(const interval<T, Policies>& x)
+{
+  typedef interval<T, Policies> I;
+  if (interval_lib::detail::test_input(x)) {
+    typedef typename Policies::checking checking;
+    return checking::nan();
+  }
+  BOOST_USING_STD_MAX();
+  return max BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<T>(-x.lower()), x.upper());
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> abs(const interval<T, Policies>& x)
+{
+  typedef interval<T, Policies> I;
+  if (interval_lib::detail::test_input(x))
+    return I::empty();
+  if (!interval_lib::user::is_neg(x.lower())) return x;
+  if (!interval_lib::user::is_pos(x.upper())) return -x;
+  BOOST_USING_STD_MAX();
+  return I(static_cast<T>(0), max BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<T>(-x.lower()), x.upper()), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> max BOOST_PREVENT_MACRO_SUBSTITUTION (const interval<T, Policies>& x,
+                                                            const interval<T, Policies>& y)
+{
+  typedef interval<T, Policies> I;
+  if (interval_lib::detail::test_input(x, y))
+    return I::empty();
+  BOOST_USING_STD_MAX();
+  return I(max BOOST_PREVENT_MACRO_SUBSTITUTION(x.lower(), y.lower()), max BOOST_PREVENT_MACRO_SUBSTITUTION(x.upper(), y.upper()), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> max BOOST_PREVENT_MACRO_SUBSTITUTION (const interval<T, Policies>& x, const T& y)
+{
+  typedef interval<T, Policies> I;
+  if (interval_lib::detail::test_input(x, y))
+    return I::empty();
+  BOOST_USING_STD_MAX();
+  return I(max BOOST_PREVENT_MACRO_SUBSTITUTION(x.lower(), y), max BOOST_PREVENT_MACRO_SUBSTITUTION(x.upper(), y), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> max BOOST_PREVENT_MACRO_SUBSTITUTION (const T& x, const interval<T, Policies>& y)
+{
+  typedef interval<T, Policies> I;
+  if (interval_lib::detail::test_input(x, y))
+    return I::empty();
+  BOOST_USING_STD_MAX();
+  return I(max BOOST_PREVENT_MACRO_SUBSTITUTION(x, y.lower()), max BOOST_PREVENT_MACRO_SUBSTITUTION(x, y.upper()), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> min BOOST_PREVENT_MACRO_SUBSTITUTION (const interval<T, Policies>& x,
+                                                            const interval<T, Policies>& y)
+{
+  typedef interval<T, Policies> I;
+  if (interval_lib::detail::test_input(x, y))
+    return I::empty();
+  BOOST_USING_STD_MIN();
+  return I(min BOOST_PREVENT_MACRO_SUBSTITUTION(x.lower(), y.lower()), min BOOST_PREVENT_MACRO_SUBSTITUTION(x.upper(), y.upper()), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> min BOOST_PREVENT_MACRO_SUBSTITUTION (const interval<T, Policies>& x, const T& y)
+{
+  typedef interval<T, Policies> I;
+  if (interval_lib::detail::test_input(x, y))
+    return I::empty();
+  BOOST_USING_STD_MIN();
+  return I(min BOOST_PREVENT_MACRO_SUBSTITUTION(x.lower(), y), min BOOST_PREVENT_MACRO_SUBSTITUTION(x.upper(), y), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> min BOOST_PREVENT_MACRO_SUBSTITUTION (const T& x, const interval<T, Policies>& y)
+{
+  typedef interval<T, Policies> I;
+  if (interval_lib::detail::test_input(x, y))
+    return I::empty();
+  BOOST_USING_STD_MIN();
+  return I(min BOOST_PREVENT_MACRO_SUBSTITUTION(x, y.lower()), min BOOST_PREVENT_MACRO_SUBSTITUTION(x, y.upper()), true);
+}
+
+} // namespace numeric
+} // namespace boost
+
+#endif // BOOST_NUMERIC_INTERVAL_UTILITY_HPP