diff --git a/sprout/math/floating_point.hpp b/sprout/math/floating_point.hpp
index b0c30602..ece1b32b 100644
--- a/sprout/math/floating_point.hpp
+++ b/sprout/math/floating_point.hpp
@@ -15,8 +15,8 @@
 #include <sprout/math/float2_significand.hpp>
 #include <sprout/math/float2_exponent.hpp>
 #include <sprout/math/float2_sig_exp.hpp>
-#include <sprout/math/float_fractional_part.hpp>
-#include <sprout/math/float_integer_part.hpp>
-#include <sprout/math/float_frac_int.hpp>
+#include <sprout/math/fractional_part.hpp>
+#include <sprout/math/integer_part.hpp>
+#include <sprout/math/frac_int.hpp>
 
 #endif	// #ifndef SPROUT_MATH_FLOATING_POINT_HPP
diff --git a/sprout/math/fmod.hpp b/sprout/math/fmod.hpp
index 2fe0c4b3..93ce53d5 100644
--- a/sprout/math/fmod.hpp
+++ b/sprout/math/fmod.hpp
@@ -5,7 +5,6 @@
 #include <type_traits>
 #include <stdexcept>
 #include <sprout/config.hpp>
-#include <sprout/math/isinf.hpp>
 #include <sprout/math/trunc.hpp>
 #include <sprout/type_traits/enabler_if.hpp>
 #include <sprout/type_traits/float_promote.hpp>
diff --git a/sprout/math/float_frac_int.hpp b/sprout/math/frac_int.hpp
similarity index 59%
rename from sprout/math/float_frac_int.hpp
rename to sprout/math/frac_int.hpp
index 6e0d23f8..b923d196 100644
--- a/sprout/math/float_frac_int.hpp
+++ b/sprout/math/frac_int.hpp
@@ -1,10 +1,10 @@
-#ifndef SPROUT_MATH_FLOAT_FRAC_INT_HPP
-#define SPROUT_MATH_FLOAT_FRAC_INT_HPP
+#ifndef SPROUT_MATH_FRAC_INT_HPP
+#define SPROUT_MATH_FRAC_INT_HPP
 
 #include <type_traits>
 #include <sprout/config.hpp>
 #include <sprout/math/detail/config.hpp>
-#include <sprout/math/float_integer_part.hpp>
+#include <sprout/math/integer_part.hpp>
 #include <sprout/type_traits/enabler_if.hpp>
 #include <sprout/utility/pair/pair.hpp>
 
@@ -13,7 +13,7 @@ namespace sprout {
 		namespace detail {
 			template<typename T>
 			inline SPROUT_CONSTEXPR sprout::pair<T, T>
-			float_frac_int_impl(T x, T ipart) {
+			frac_int_impl(T x, T ipart) {
 				return sprout::pair<T, T>(x - ipart, ipart);
 			}
 
@@ -22,8 +22,8 @@ namespace sprout {
 				typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
 			>
 			inline SPROUT_CONSTEXPR sprout::pair<FloatType, FloatType>
-			float_frac_int(FloatType x) {
-				return sprout::math::detail::float_frac_int_impl(x, sprout::math::float_integer_part(x));
+			frac_int(FloatType x) {
+				return sprout::math::detail::frac_int_impl(x, sprout::math::integer_part(x));
 			}
 
 			template<
@@ -31,15 +31,15 @@ namespace sprout {
 				typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
 			>
 			inline SPROUT_CONSTEXPR sprout::pair<double, double>
-			float_frac_int(IntType x) {
-				return sprout::math::detail::float_frac_int(static_cast<double>(x));
+			frac_int(IntType x) {
+				return sprout::math::detail::frac_int(static_cast<double>(x));
 			}
 		}	// namespace detail
 
-		using sprout::math::detail::float_frac_int;
+		using sprout::math::detail::frac_int;
 	}	// namespace math
 
-	using sprout::math::float_frac_int;
+	using sprout::math::frac_int;
 }	// namespace sprout
 
-#endif	// #ifndef SPROUT_MATH_FLOAT_FRAC_INT_HPP
+#endif	// #ifndef SPROUT_MATH_FRAC_INT_HPP
diff --git a/sprout/math/float_integer_part.hpp b/sprout/math/fractional_part.hpp
similarity index 56%
rename from sprout/math/float_integer_part.hpp
rename to sprout/math/fractional_part.hpp
index efd08471..f966e0e3 100644
--- a/sprout/math/float_integer_part.hpp
+++ b/sprout/math/fractional_part.hpp
@@ -1,10 +1,10 @@
-#ifndef SPROUT_MATH_FLOAT_INTEGER_PART_HPP
-#define SPROUT_MATH_FLOAT_INTEGER_PART_HPP
+#ifndef SPROUT_MATH_FRACTIONAL_PART_HPP
+#define SPROUT_MATH_FRACTIONAL_PART_HPP
 
 #include <type_traits>
 #include <sprout/config.hpp>
 #include <sprout/math/detail/config.hpp>
-#include <sprout/math/floor.hpp>
+#include <sprout/math/integer_part.hpp>
 #include <sprout/type_traits/enabler_if.hpp>
 
 namespace sprout {
@@ -15,8 +15,8 @@ namespace sprout {
 				typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
 			>
 			inline SPROUT_CONSTEXPR FloatType
-			float_integer_part(FloatType x) {
-				return sprout::math::floor(x);
+			fractional_part(FloatType x) {
+				return x - sprout::math::integer_part(x);
 			}
 
 			template<
@@ -24,15 +24,15 @@ namespace sprout {
 				typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
 			>
 			inline SPROUT_CONSTEXPR double
-			float_integer_part(IntType x) {
-				return sprout::math::detail::float_integer_part(static_cast<double>(x));
+			fractional_part(IntType x) {
+				return sprout::math::detail::fractional_part(static_cast<double>(x));
 			}
 		}	// namespace detail
 
-		using sprout::math::detail::float_integer_part;
+		using sprout::math::detail::fractional_part;
 	}	// namespace math
 
-	using sprout::math::float_integer_part;
+	using sprout::math::fractional_part;
 }	// namespace sprout
 
-#endif	// #ifndef SPROUT_MATH_FLOAT_INTEGER_PART_HPP
+#endif	// #ifndef SPROUT_MATH_FRACTIONAL_PART_HPP
diff --git a/sprout/math/float_fractional_part.hpp b/sprout/math/integer_part.hpp
similarity index 53%
rename from sprout/math/float_fractional_part.hpp
rename to sprout/math/integer_part.hpp
index f1596cd7..f8bf9962 100644
--- a/sprout/math/float_fractional_part.hpp
+++ b/sprout/math/integer_part.hpp
@@ -1,10 +1,10 @@
-#ifndef SPROUT_MATH_FLOAT_FRACTIONAL_PART_HPP
-#define SPROUT_MATH_FLOAT_FRACTIONAL_PART_HPP
+#ifndef SPROUT_MATH_INTEGER_PART_HPP
+#define SPROUT_MATH_INTEGER_PART_HPP
 
 #include <type_traits>
 #include <sprout/config.hpp>
 #include <sprout/math/detail/config.hpp>
-#include <sprout/math/float_integer_part.hpp>
+#include <sprout/math/trunc.hpp>
 #include <sprout/type_traits/enabler_if.hpp>
 
 namespace sprout {
@@ -15,8 +15,8 @@ namespace sprout {
 				typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
 			>
 			inline SPROUT_CONSTEXPR FloatType
-			float_fractional_part(FloatType x) {
-				return x - sprout::math::float_integer_part(x);
+			integer_part(FloatType x) {
+				return sprout::math::trunc(x);
 			}
 
 			template<
@@ -24,15 +24,15 @@ namespace sprout {
 				typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
 			>
 			inline SPROUT_CONSTEXPR double
-			float_fractional_part(IntType x) {
-				return sprout::math::detail::float_fractional_part(static_cast<double>(x));
+			integer_part(IntType x) {
+				return sprout::math::detail::integer_part(static_cast<double>(x));
 			}
 		}	// namespace detail
 
-		using sprout::math::detail::float_fractional_part;
+		using sprout::math::detail::integer_part;
 	}	// namespace math
 
-	using sprout::math::float_fractional_part;
+	using sprout::math::integer_part;
 }	// namespace sprout
 
-#endif	// #ifndef SPROUT_MATH_FLOAT_FRACTIONAL_PART_HPP
+#endif	// #ifndef SPROUT_MATH_INTEGER_PART_HPP
diff --git a/sprout/math/operations.hpp b/sprout/math/operations.hpp
index dd2c4e2e..085233ac 100644
--- a/sprout/math/operations.hpp
+++ b/sprout/math/operations.hpp
@@ -9,5 +9,8 @@
 #include <sprout/math/fmin.hpp>
 #include <sprout/math/fdim.hpp>
 #include <sprout/math/fmod.hpp>
+#include <sprout/math/reminder.hpp>
+#include <sprout/math/quotient.hpp>
+#include <sprout/math/rem_quo.hpp>
 
 #endif	// #ifndef SPROUT_MATH_OPERATIONS_HPP
diff --git a/sprout/math/quotient.hpp b/sprout/math/quotient.hpp
new file mode 100644
index 00000000..5cfe4358
--- /dev/null
+++ b/sprout/math/quotient.hpp
@@ -0,0 +1,49 @@
+#ifndef SPROUT_MATH_QUOTIENT_HPP
+#define SPROUT_MATH_QUOTIENT_HPP
+
+#include <cstdint>
+#include <type_traits>
+#include <stdexcept>
+#include <sprout/config.hpp>
+#include <sprout/math/detail/config.hpp>
+#include <sprout/math/iround.hpp>
+#include <sprout/type_traits/enabler_if.hpp>
+#include <sprout/type_traits/float_promote.hpp>
+
+namespace sprout {
+	namespace math {
+		namespace detail {
+			template<
+				typename R = int,
+				typename FloatType,
+				typename sprout::enabler_if<std::is_floating_point<FloatType>::value && std::is_integral<R>::value>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR R
+			quotient(FloatType x, FloatType y) {
+				return y == 0 ? throw std::domain_error("quotient: divide by zero.")
+					: sprout::math::iround<R>(x / y)
+					;
+			}
+
+			template<
+				typename R = int,
+				typename ArithmeticType1,
+				typename ArithmeticType2,
+				typename sprout::enabler_if<
+					std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value && std::is_integral<R>::value
+				>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR R
+			quotient(ArithmeticType1 x, ArithmeticType2 y) {
+				typedef typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type type;
+				return sprout::math::detail::quotient(static_cast<type>(x), static_cast<type>(y));
+			}
+		}	// namespace detail
+
+		using sprout::math::detail::quotient;
+	}	// namespace math
+
+	using sprout::math::quotient;
+}	// namespace sprout
+
+#endif	// #ifndef SPROUT_MATH_QUOTIENT_HPP
diff --git a/sprout/math/rem_quo.hpp b/sprout/math/rem_quo.hpp
new file mode 100644
index 00000000..63381ccd
--- /dev/null
+++ b/sprout/math/rem_quo.hpp
@@ -0,0 +1,56 @@
+#ifndef SPROUT_MATH_REM_QUO_HPP
+#define SPROUT_MATH_REM_QUO_HPP
+
+#include <cstdint>
+#include <type_traits>
+#include <stdexcept>
+#include <sprout/config.hpp>
+#include <sprout/math/detail/config.hpp>
+#include <sprout/math/quotient.hpp>
+#include <sprout/type_traits/enabler_if.hpp>
+#include <sprout/type_traits/float_promote.hpp>
+#include <sprout/utility/pair/pair.hpp>
+
+namespace sprout {
+	namespace math {
+		namespace detail {
+			template<typename R, typename T>
+			inline SPROUT_CONSTEXPR sprout::pair<T, R>
+			rem_quo_impl(T x, T y, R quo) {
+				return sprout::pair<T, T>(x - quo * y, quo);
+			}
+			template<
+				typename R = int,
+				typename FloatType,
+				typename sprout::enabler_if<std::is_floating_point<FloatType>::value && std::is_integral<R>::value>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR sprout::pair<FloatType, R>
+			rem_quo(FloatType x, FloatType y) {
+				return sprout::math::detail::rem_quo_impl(x, y, sprout::math::quotient(x, y));
+			}
+
+			template<
+				typename R = int,
+				typename ArithmeticType1,
+				typename ArithmeticType2,
+				typename sprout::enabler_if<
+					std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value && std::is_integral<R>::value
+				>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR sprout::pair<
+				typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type,
+				R
+			>
+			rem_quo(ArithmeticType1 x, ArithmeticType2 y) {
+				typedef typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type type;
+				return sprout::math::detail::rem_quo(static_cast<type>(x), static_cast<type>(y));
+			}
+		}	// namespace detail
+
+		using sprout::math::detail::rem_quo;
+	}	// namespace math
+
+	using sprout::math::rem_quo;
+}	// namespace sprout
+
+#endif	// #ifndef SPROUT_MATH_REM_QUO_HPP
diff --git a/sprout/math/reminder.hpp b/sprout/math/reminder.hpp
new file mode 100644
index 00000000..56f177f4
--- /dev/null
+++ b/sprout/math/reminder.hpp
@@ -0,0 +1,47 @@
+#ifndef SPROUT_MATH_REMAINDER_HPP
+#define SPROUT_MATH_REMAINDER_HPP
+
+#include <cstdint>
+#include <type_traits>
+#include <stdexcept>
+#include <sprout/config.hpp>
+#include <sprout/math/detail/config.hpp>
+#include <sprout/math/round.hpp>
+#include <sprout/type_traits/enabler_if.hpp>
+#include <sprout/type_traits/float_promote.hpp>
+
+namespace sprout {
+	namespace math {
+		namespace detail {
+			template<
+				typename FloatType,
+				typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR FloatType
+			remainder(FloatType x, FloatType y) {
+				return y == 0 ? throw std::domain_error("remainder: divide by zero.")
+					: x - sprout::math::round(x / y) * y
+					;
+			}
+
+			template<
+				typename ArithmeticType1,
+				typename ArithmeticType2,
+				typename sprout::enabler_if<
+					std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value
+				>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type
+			remainder(ArithmeticType1 x, ArithmeticType2 y) {
+				typedef typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type type;
+				return sprout::math::detail::remainder(static_cast<type>(x), static_cast<type>(y));
+			}
+		}	// namespace detail
+
+		using NS_SPROUT_MATH_DETAIL::remainder;
+	}	// namespace math
+
+	using sprout::math::remainder;
+}	// namespace sprout
+
+#endif	// #ifndef SPROUT_MATH_REMAINDER_HPP