add sprout::sin, cos, tan

sprout/cmath.hpp

@@ -0,0 +1,7 @@
+#ifndef SPROUT_CMATH_HPP
+#define SPROUT_CMATH_HPP
+
+#include <sprout/config.hpp>
+#include <sprout/math/trigonometric.hpp>
+
+#endif	// #ifndef SPROUT_CMATH_HPP

sprout/config/auto_config.hpp

@@ -52,6 +52,15 @@
 // SPROUT_CONFIG_USE_SSCRISK_CEL
 //
 
+//
+// SPROUT_CONFIG_DISABLE_BUILTIN_CMATH_FUNCTION
+//
+#ifndef SPROUT_CONFIG_DISABLE_BUILTIN_CMATH_FUNCTION
+#	ifndef SPROUT_HAS_CONSTEXPR_CMATH_FUNCTION
+#		define SPROUT_CONFIG_DISABLE_BUILTIN_CMATH_FUNCTION
+#	endif	// #ifdef SPROUT_HAS_CONSTEXPR_CMATH_FUNCTION
+#endif	// #ifndef SPROUT_CONFIG_DISABLE_SUPPORT_TEMPORARY_CONTAINER_ITERATION
+
 //
 // SPROUT_CONFIG_DISABLE_SUPPORT_TEMPORARY_CONTAINER_ITERATION
 // SPROUT_CONFIG_SUPPORT_TEMPORARY_CONTAINER_ITERATION

sprout/config/compiler/gcc.hpp

@@ -21,4 +21,8 @@
 #	define SPROUT_NO_DELEGATING_CONSTRUCTORS
 #endif
 
+#if ((__GNUC__ >= 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) && defined(__GXX_EXPERIMENTAL_CXX0X__))
+#	define SPROUT_HAS_CONSTEXPR_CMATH_FUNCTION
+#endif
+
 #endif	// #ifndef SPROUT_CONFIG_COMPILER_GCC_HPP

sprout/config/config.hpp

@@ -55,6 +55,12 @@
 #	define NS_SSCRISK_CEL_OR_SPROUT sscrisk::cel
 #endif	// #ifndef SPROUT_CONFIG_USE_SSCRISK_CEL
 
+#ifndef SPROUT_CONFIG_DISABLE_BUILTIN_CMATH_FUNCTION
+#	define SPROUT_USE_BUILTIN_CMATH_FUNCTION 1
+#else	// #ifndef SPROUT_CONFIG_DISABLE_BUILTIN_CMATH_FUNCTION
+#	define SPROUT_USE_BUILTIN_CMATH_FUNCTION 0
+#endif	// #ifndef SPROUT_CONFIG_DISABLE_BUILTIN_CMATH_FUNCTION
+
 #ifndef SPROUT_CONFIG_DISABLE_SUPPORT_TEMPORARY_CONTAINER_ITERATION
 #	define SPROUT_USE_INDEX_ITERATOR_IMPLEMENTATION 1
 #else	// #ifndef SPROUT_CONFIG_DISABLE_SUPPORT_TEMPORARY_CONTAINER_ITERATION

sprout/math/cos.hpp

@@ -0,0 +1,64 @@
+#ifndef SPROUT_MATH_COS_HPP
+#define SPROUT_MATH_COS_HPP
+
+#include <cstddef>
+#include <type_traits>
+#include <sprout/config.hpp>
+#include <sprout/math/factorial.hpp>
+#include <sprout/utility/enabler_if.hpp>
+#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
+#	include <cmath>
+#endif
+
+namespace sprout {
+	namespace math {
+		namespace detail {
+			template<typename T>
+			inline SPROUT_CONSTEXPR T
+			cos_impl(T x, T tmp, std::size_t n, T x2n) {
+				return 2 * n > sprout::math::factorial_limit<T>() ? tmp
+					: sprout::math::detail::cos_impl(
+						x,
+						tmp + (n % 2 ? -1 : 1) / sprout::math::factorial<T>(2 * n) * x2n,
+						n + 1,
+						x2n * x * x
+						)
+					;
+			}
+
+			template<
+				typename FloatType,
+				typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR FloatType
+			cos(FloatType x) {
+				typedef double type;
+				return static_cast<FloatType>(sprout::math::detail::cos_impl(
+					static_cast<type>(x),
+					type(1),
+					1,
+					static_cast<type>(x) * static_cast<type>(x)
+					));
+			}
+
+			template<
+				typename IntType,
+				typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR double
+			cos(IntType x) {
+				return sprout::math::detail::cos(static_cast<double>(x));
+			}
+		}	// namespace detail
+
+#	if SPROUT_USE_BUILTIN_CMATH_FUNCTION
+		using std::cos;
+#	else
+		using sprout::math::detail::cos;
+#	endif
+	}	// namespace math
+
+	using sprout::math::cos;
+}	// namespace sprout
+
+#endif	// #ifndef SPROUT_MATH_COS_HPP

sprout/math/factorial.hpp

@@ -651,4 +651,3 @@ namespace sprout {
 }	// namespace sprout
 
 #endif	// #ifndef SPROUT_MATH_FACTORIAL_HPP
-

sprout/math/sin.hpp

@@ -0,0 +1,45 @@
+#ifndef SPROUT_MATH_SIN_HPP
+#define SPROUT_MATH_SIN_HPP
+
+#include <type_traits>
+#include <sprout/config.hpp>
+#include <sprout/math/cos.hpp>
+#include <sprout/math/constants.hpp>
+#include <sprout/utility/enabler_if.hpp>
+#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
+#	include <cmath>
+#endif
+
+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
+			sin(FloatType x) {
+				return -sprout::math::detail::cos(x + sprout::math::pi_div_two<FloatType>());
+			}
+
+			template<
+				typename IntType,
+				typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR double
+			sin(IntType x) {
+				return sprout::math::detail::sin(static_cast<double>(x));
+			}
+		}	// namespace detail
+
+#	if SPROUT_USE_BUILTIN_CMATH_FUNCTION
+		using std::sin;
+#	else
+		using sprout::math::detail::sin;
+#	endif
+	}	// namespace math
+
+	using sprout::math::sin;
+}	// namespace sprout
+
+#endif	// #ifndef SPROUT_MATH_SIN_HPP

sprout/math/tan.hpp

@@ -0,0 +1,45 @@
+#ifndef SPROUT_MATH_TAN_HPP
+#define SPROUT_MATH_TAN_HPP
+
+#include <type_traits>
+#include <sprout/config.hpp>
+#include <sprout/math/sin.hpp>
+#include <sprout/math/cos.hpp>
+#include <sprout/utility/enabler_if.hpp>
+#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
+#	include <cmath>
+#endif
+
+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
+			tan(FloatType x) {
+				return sprout::math::detail::sin(x) / sprout::math::detail::cos(x);
+			}
+
+			template<
+				typename IntType,
+				typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
+			>
+			inline SPROUT_CONSTEXPR double
+			tan(IntType x) {
+				return sprout::math::detail::tan(static_cast<double>(x));
+			}
+		}	// namespace detail
+
+#	if SPROUT_USE_BUILTIN_CMATH_FUNCTION
+		using std::tan;
+#	else
+		using sprout::math::detail::tan;
+#	endif
+	}	// namespace math
+
+	using sprout::math::tan;
+}	// namespace sprout
+
+#endif	// #ifndef SPROUT_MATH_TAN_HPP

sprout/math/trigonometric.hpp

@@ -0,0 +1,8 @@
+#ifndef SPROUT_MATH_TRIGONOMETRIC_HPP
+#define SPROUT_MATH_TRIGONOMETRIC_HPP
+
+#include <sprout/math/sin.hpp>
+#include <sprout/math/cos.hpp>
+#include <sprout/math/tan.hpp>
+
+#endif	// #ifndef SPROUT_MATH_TRIGONOMETRIC_HPP