summaryrefslogtreecommitdiff
path: root/boost/math/special_functions/hypot.hpp
diff options
context:
space:
mode:
Diffstat (limited to 'boost/math/special_functions/hypot.hpp')
-rw-r--r--boost/math/special_functions/hypot.hpp86
1 files changed, 86 insertions, 0 deletions
diff --git a/boost/math/special_functions/hypot.hpp b/boost/math/special_functions/hypot.hpp
new file mode 100644
index 0000000000..efe1a3f211
--- /dev/null
+++ b/boost/math/special_functions/hypot.hpp
@@ -0,0 +1,86 @@
+// (C) Copyright John Maddock 2005-2006.
+// Use, modification and distribution are subject to 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_MATH_HYPOT_INCLUDED
+#define BOOST_MATH_HYPOT_INCLUDED
+
+#ifdef _MSC_VER
+#pragma once
+#endif
+
+#include <boost/math/tools/config.hpp>
+#include <boost/math/tools/precision.hpp>
+#include <boost/math/policies/error_handling.hpp>
+#include <boost/math/special_functions/math_fwd.hpp>
+#include <boost/config/no_tr1/cmath.hpp>
+#include <algorithm> // for swap
+
+#ifdef BOOST_NO_STDC_NAMESPACE
+namespace std{ using ::sqrt; using ::fabs; }
+#endif
+
+namespace boost{ namespace math{ namespace detail{
+
+template <class T, class Policy>
+T hypot_imp(T x, T y, const Policy& pol)
+{
+ //
+ // Normalize x and y, so that both are positive and x >= y:
+ //
+ using std::fabs; using std::sqrt; // ADL of std names
+
+ x = fabs(x);
+ y = fabs(y);
+
+#ifdef BOOST_MSVC
+#pragma warning(push)
+#pragma warning(disable: 4127)
+#endif
+ // special case, see C99 Annex F:
+ if(std::numeric_limits<T>::has_infinity
+ && ((x == std::numeric_limits<T>::infinity())
+ || (y == std::numeric_limits<T>::infinity())))
+ return policies::raise_overflow_error<T>("boost::math::hypot<%1%>(%1%,%1%)", 0, pol);
+#ifdef BOOST_MSVC
+#pragma warning(pop)
+#endif
+
+ if(y > x)
+ (std::swap)(x, y);
+
+ if(x * tools::epsilon<T>() >= y)
+ return x;
+
+ T rat = y / x;
+ return x * sqrt(1 + rat*rat);
+} // template <class T> T hypot(T x, T y)
+
+}
+
+template <class T1, class T2>
+inline typename tools::promote_args<T1, T2>::type
+ hypot(T1 x, T2 y)
+{
+ typedef typename tools::promote_args<T1, T2>::type result_type;
+ return detail::hypot_imp(
+ static_cast<result_type>(x), static_cast<result_type>(y), policies::policy<>());
+}
+
+template <class T1, class T2, class Policy>
+inline typename tools::promote_args<T1, T2>::type
+ hypot(T1 x, T2 y, const Policy& pol)
+{
+ typedef typename tools::promote_args<T1, T2>::type result_type;
+ return detail::hypot_imp(
+ static_cast<result_type>(x), static_cast<result_type>(y), pol);
+}
+
+} // namespace math
+} // namespace boost
+
+#endif // BOOST_MATH_HYPOT_INCLUDED
+
+
+