Added boost header

test/external/boost/numeric/interval/detail/division.hpp

@@ -0,0 +1,194 @@
+/* Boost interval/detail/division.hpp file
+ *
+ * Copyright 2003 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_DETAIL_DIVISION_HPP
+#define BOOST_NUMERIC_INTERVAL_DETAIL_DIVISION_HPP
+
+#include <boost/numeric/interval/detail/interval_prototype.hpp>
+#include <boost/numeric/interval/detail/bugs.hpp>
+#include <boost/numeric/interval/detail/test_input.hpp>
+#include <boost/numeric/interval/rounded_arith.hpp>
+#include <algorithm>
+
+namespace boost {
+namespace numeric {
+namespace interval_lib {
+namespace detail {
+
+template<class T, class Policies> inline
+interval<T, Policies> div_non_zero(const interval<T, Policies>& x,
+                                   const interval<T, Policies>& y)
+{
+  // assert(!in_zero(y));
+  typename Policies::rounding rnd;
+  typedef interval<T, Policies> I;
+  const T& xl = x.lower();
+  const T& xu = x.upper();
+  const T& yl = y.lower();
+  const T& yu = y.upper();
+  if (::boost::numeric::interval_lib::user::is_neg(xu))
+    if (::boost::numeric::interval_lib::user::is_neg(yu))
+      return I(rnd.div_down(xu, yl), rnd.div_up(xl, yu), true);
+    else
+      return I(rnd.div_down(xl, yl), rnd.div_up(xu, yu), true);
+  else if (::boost::numeric::interval_lib::user::is_neg(xl))
+    if (::boost::numeric::interval_lib::user::is_neg(yu))
+      return I(rnd.div_down(xu, yu), rnd.div_up(xl, yu), true);
+    else
+      return I(rnd.div_down(xl, yl), rnd.div_up(xu, yl), true);
+  else
+    if (::boost::numeric::interval_lib::user::is_neg(yu))
+      return I(rnd.div_down(xu, yu), rnd.div_up(xl, yl), true);
+    else
+      return I(rnd.div_down(xl, yu), rnd.div_up(xu, yl), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> div_non_zero(const T& x, const interval<T, Policies>& y)
+{
+  // assert(!in_zero(y));
+  typename Policies::rounding rnd;
+  typedef interval<T, Policies> I;
+  const T& yl = y.lower();
+  const T& yu = y.upper();
+  if (::boost::numeric::interval_lib::user::is_neg(x))
+    return I(rnd.div_down(x, yl), rnd.div_up(x, yu), true);
+  else
+    return I(rnd.div_down(x, yu), rnd.div_up(x, yl), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> div_positive(const interval<T, Policies>& x, const T& yu)
+{
+  // assert(::boost::numeric::interval_lib::user::is_pos(yu));
+  if (::boost::numeric::interval_lib::user::is_zero(x.lower()) &&
+      ::boost::numeric::interval_lib::user::is_zero(x.upper()))
+    return x;
+  typename Policies::rounding rnd;
+  typedef interval<T, Policies> I;
+  const T& xl = x.lower();
+  const T& xu = x.upper();
+  typedef typename Policies::checking checking;
+  if (::boost::numeric::interval_lib::user::is_neg(xu))
+    return I(checking::neg_inf(), rnd.div_up(xu, yu), true);
+  else if (::boost::numeric::interval_lib::user::is_neg(xl))
+    return I(checking::neg_inf(), checking::pos_inf(), true);
+  else
+    return I(rnd.div_down(xl, yu), checking::pos_inf(), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> div_positive(const T& x, const T& yu)
+{
+  // assert(::boost::numeric::interval_lib::user::is_pos(yu));
+  typedef interval<T, Policies> I;
+  if (::boost::numeric::interval_lib::user::is_zero(x))
+    return I(static_cast<T>(0), static_cast<T>(0), true);
+  typename Policies::rounding rnd;
+  typedef typename Policies::checking checking;
+  if (::boost::numeric::interval_lib::user::is_neg(x))
+    return I(checking::neg_inf(), rnd.div_up(x, yu), true);
+  else
+    return I(rnd.div_down(x, yu), checking::pos_inf(), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> div_negative(const interval<T, Policies>& x, const T& yl)
+{
+  // assert(::boost::numeric::interval_lib::user::is_neg(yl));
+  if (::boost::numeric::interval_lib::user::is_zero(x.lower()) &&
+      ::boost::numeric::interval_lib::user::is_zero(x.upper()))
+    return x;
+  typename Policies::rounding rnd;
+  typedef interval<T, Policies> I;
+  const T& xl = x.lower();
+  const T& xu = x.upper();
+  typedef typename Policies::checking checking;
+  if (::boost::numeric::interval_lib::user::is_neg(xu))
+    return I(rnd.div_down(xu, yl), checking::pos_inf(), true);
+  else if (::boost::numeric::interval_lib::user::is_neg(xl))
+    return I(checking::neg_inf(), checking::pos_inf(), true);
+  else
+    return I(checking::neg_inf(), rnd.div_up(xl, yl), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> div_negative(const T& x, const T& yl)
+{
+  // assert(::boost::numeric::interval_lib::user::is_neg(yl));
+  typedef interval<T, Policies> I;
+  if (::boost::numeric::interval_lib::user::is_zero(x))
+    return I(static_cast<T>(0), static_cast<T>(0), true);
+  typename Policies::rounding rnd;
+  typedef typename Policies::checking checking;
+  if (::boost::numeric::interval_lib::user::is_neg(x))
+    return I(rnd.div_down(x, yl), checking::pos_inf(), true);
+  else
+    return I(checking::neg_inf(), rnd.div_up(x, yl), true);
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> div_zero(const interval<T, Policies>& x)
+{
+  if (::boost::numeric::interval_lib::user::is_zero(x.lower()) &&
+      ::boost::numeric::interval_lib::user::is_zero(x.upper()))
+    return x;
+  else return interval<T, Policies>::whole();
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> div_zero(const T& x)
+{
+  if (::boost::numeric::interval_lib::user::is_zero(x))
+    return interval<T, Policies>(static_cast<T>(0), static_cast<T>(0), true);
+  else return interval<T, Policies>::whole();
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> div_zero_part1(const interval<T, Policies>& x,
+                                     const interval<T, Policies>& y, bool& b)
+{
+  // assert(::boost::numeric::interval_lib::user::is_neg(y.lower()) && ::boost::numeric::interval_lib::user::is_pos(y.upper()));
+  if (::boost::numeric::interval_lib::user::is_zero(x.lower()) && ::boost::numeric::interval_lib::user::is_zero(x.upper()))
+    { b = false; return x; }
+  typename Policies::rounding rnd;
+  typedef interval<T, Policies> I;
+  const T& xl = x.lower();
+  const T& xu = x.upper();
+  const T& yl = y.lower();
+  const T& yu = y.upper();
+  typedef typename Policies::checking checking;
+  if (::boost::numeric::interval_lib::user::is_neg(xu))
+    { b = true;  return I(checking::neg_inf(), rnd.div_up(xu, yu), true); }
+  else if (::boost::numeric::interval_lib::user::is_neg(xl))
+    { b = false; return I(checking::neg_inf(), checking::pos_inf(), true); }
+  else
+    { b = true;  return I(checking::neg_inf(), rnd.div_up(xl, yl), true); }
+}
+
+template<class T, class Policies> inline
+interval<T, Policies> div_zero_part2(const interval<T, Policies>& x,
+                                     const interval<T, Policies>& y)
+{
+  // assert(::boost::numeric::interval_lib::user::is_neg(y.lower()) && ::boost::numeric::interval_lib::user::is_pos(y.upper()) && (div_zero_part1(x, y, b), b));
+  typename Policies::rounding rnd;
+  typedef interval<T, Policies> I;
+  typedef typename Policies::checking checking;
+  if (::boost::numeric::interval_lib::user::is_neg(x.upper()))
+    return I(rnd.div_down(x.upper(), y.lower()), checking::pos_inf(), true);
+  else
+    return I(rnd.div_down(x.lower(), y.upper()), checking::pos_inf(), true);
+}
+
+} // namespace detail
+} // namespace interval_lib
+} // namespace numeric
+} // namespace boost
+
+#endif // BOOST_NUMERIC_INTERVAL_DETAIL_DIVISION_HPP