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-rw-r--r--boost/math/special_functions/ulp.hpp38
1 files changed, 36 insertions, 2 deletions
diff --git a/boost/math/special_functions/ulp.hpp b/boost/math/special_functions/ulp.hpp
index 3d78a1c7c2..bb0332a7e0 100644
--- a/boost/math/special_functions/ulp.hpp
+++ b/boost/math/special_functions/ulp.hpp
@@ -18,7 +18,7 @@
namespace boost{ namespace math{ namespace detail{
template <class T, class Policy>
-T ulp_imp(const T& val, const Policy& pol)
+T ulp_imp(const T& val, const mpl::true_&, const Policy& pol)
{
BOOST_MATH_STD_USING
int expon;
@@ -48,6 +48,40 @@ T ulp_imp(const T& val, const Policy& pol)
diff = detail::get_smallest_value<T>();
return diff;
}
+// non-binary version:
+template <class T, class Policy>
+T ulp_imp(const T& val, const mpl::false_&, const Policy& pol)
+{
+ BOOST_STATIC_ASSERT(std::numeric_limits<T>::is_specialized);
+ BOOST_STATIC_ASSERT(std::numeric_limits<T>::radix != 2);
+ BOOST_MATH_STD_USING
+ int expon;
+ static const char* function = "ulp<%1%>(%1%)";
+
+ int fpclass = (boost::math::fpclassify)(val);
+
+ if(fpclass == (int)FP_NAN)
+ {
+ return policies::raise_domain_error<T>(
+ function,
+ "Argument must be finite, but got %1%", val, pol);
+ }
+ else if((fpclass == (int)FP_INFINITE) || (fabs(val) >= tools::max_value<T>()))
+ {
+ return (val < 0 ? -1 : 1) * policies::raise_overflow_error<T>(function, 0, pol);
+ }
+ else if(fpclass == FP_ZERO)
+ return detail::get_smallest_value<T>();
+ //
+ // This code is almost the same as that for float_next, except for negative integers,
+ // where we preserve the relation ulp(x) == ulp(-x) as does Java:
+ //
+ expon = 1 + ilogb(fabs(val));
+ T diff = scalbn(T(1), expon - std::numeric_limits<T>::digits);
+ if(diff == 0)
+ diff = detail::get_smallest_value<T>();
+ return diff;
+}
}
@@ -55,7 +89,7 @@ template <class T, class Policy>
inline typename tools::promote_args<T>::type ulp(const T& val, const Policy& pol)
{
typedef typename tools::promote_args<T>::type result_type;
- return detail::ulp_imp(static_cast<result_type>(val), pol);
+ return detail::ulp_imp(static_cast<result_type>(val), mpl::bool_<!std::numeric_limits<result_type>::is_specialized || (std::numeric_limits<result_type>::radix == 2)>(), pol);
}
template <class T>