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https://github.com/bolero-MURAKAMI/Sprout.git
synced 2024-12-23 21:25:49 +00:00
add sprout::asin, acos, pow
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bolero-MURAKAMI
parent
8c23e809a4
commit
28f22ab73d
5 changed files with 225 additions and 0 deletions
45
sprout/math/acos.hpp
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45
sprout/math/acos.hpp
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#ifndef SPROUT_MATH_ACOS_HPP
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#define SPROUT_MATH_ACOS_HPP
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/math/asin.hpp>
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#include <sprout/math/constants.hpp>
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#include <sprout/utility/enabler_if.hpp>
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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# include <cmath>
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#endif
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namespace sprout {
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namespace math {
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namespace detail {
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template<
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typename FloatType,
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typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR FloatType
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acos(FloatType x) {
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return sprout::math::half_pi<FloatType>() - sprout::math::detail::asin(x);
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}
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template<
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typename IntType,
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typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR double
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acos(IntType x) {
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return sprout::math::detail::acos(static_cast<double>(x));
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}
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} // namespace detail
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# if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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using std::acos;
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# else
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using sprout::math::detail::acos;
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# endif
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} // namespace math
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using sprout::math::acos;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_ACOS_HPP
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88
sprout/math/asin.hpp
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88
sprout/math/asin.hpp
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#ifndef SPROUT_MATH_ASIN_HPP
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#define SPROUT_MATH_ASIN_HPP
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#include <cstddef>
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#include <limits>
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/math/constants.hpp>
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#include <sprout/math/factorial.hpp>
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#include <sprout/math/sqrt.hpp>
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#include <sprout/utility/enabler_if.hpp>
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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# include <cmath>
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#endif
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namespace sprout {
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namespace math {
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namespace detail {
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template<typename T>
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inline SPROUT_CONSTEXPR T
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asin_impl_2(T x, T tmp, std::size_t n, T x2n1, T _4n) {
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return 2 * n > sprout::math::factorial_limit<T>() ? tmp
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: sprout::math::detail::asin_impl_2(
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x,
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tmp + sprout::math::factorial<T>(2 * n)
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/ _4n / sprout::math::factorial<T>(n) / sprout::math::factorial<T>(n) / (2 * n + 1)
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* x2n1
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,
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n + 1,
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x2n1 * x * x,
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_4n * 4
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)
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;
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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asin_impl_1(T x) {
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return sprout::math::detail::asin_impl_2(
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x,
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x,
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1,
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x * x * x,
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T(4)
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);
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}
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template<typename T>
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inline SPROUT_CONSTEXPR T
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asin_impl(T x) {
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return x > sprout::math::half_root_two<T>()
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? sprout::math::half_pi<T>() - sprout::math::detail::asin_impl_1(sprout::math::detail::sqrt(1 - x * x))
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: sprout::math::detail::asin_impl_1(x)
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;
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}
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template<
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typename FloatType,
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typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR FloatType
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asin(FloatType x) {
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typedef double type;
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return x > 1 || x < -1 ? std::numeric_limits<FloatType>::quiet_NaN()
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: x < 0 ? -static_cast<FloatType>(sprout::math::detail::asin_impl(static_cast<type>(-x)))
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: static_cast<FloatType>(sprout::math::detail::asin_impl(static_cast<type>(x)))
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;
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}
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template<
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typename IntType,
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typename sprout::enabler_if<std::is_integral<IntType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR double
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asin(IntType x) {
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return sprout::math::detail::asin(static_cast<double>(x));
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}
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} // namespace detail
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# if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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using std::asin;
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# else
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using sprout::math::detail::asin;
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# endif
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} // namespace math
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using sprout::math::asin;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_ASIN_HPP
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89
sprout/math/pow.hpp
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89
sprout/math/pow.hpp
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#ifndef SPROUT_MATH_POW_HPP
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#define SPROUT_MATH_POW_HPP
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/math/exp.hpp>
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#include <sprout/math/log.hpp>
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#include <sprout/math/constants.hpp>
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#include <sprout/utility/enabler_if.hpp>
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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# include <cmath>
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#endif
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namespace sprout {
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namespace math {
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namespace detail {
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template<typename X, typename Y, typename Enable = void>
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struct pow_promoted {};
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template<typename X, typename Y>
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struct pow_promoted<
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X,
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Y,
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typename std::enable_if<
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std::is_arithmetic<X>::value && std::is_arithmetic<Y>::value
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&& (std::is_same<X, long double>::value || std::is_same<Y, long double>::value)
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>::type
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> {
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public:
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typedef long double type;
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};
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template<typename X, typename Y>
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struct pow_promoted<
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X,
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Y,
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typename std::enable_if<
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std::is_arithmetic<X>::value && std::is_arithmetic<Y>::value
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&& !(std::is_same<X, long double>::value || std::is_same<Y, long double>::value)
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>::type
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> {
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public:
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typedef double type;
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};
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} // namespace detail
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//
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// pow_promoted
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//
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template<typename X, typename Y>
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struct pow_promoted
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: public sprout::math::detail::pow_promoted<
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typename std::remove_cv<X>::type,
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typename std::remove_cv<Y>::type
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>
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{};
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namespace detail {
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template<
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typename FloatType,
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typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR FloatType
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pow(FloatType x, FloatType y) {
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return sprout::math::detail::exp(y * sprout::math::detail::log(x));
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}
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template<
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typename ArithmeticType1,
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typename ArithmeticType2,
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typename sprout::enabler_if<
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std::is_arithmetic<ArithmeticType1>::value && std::is_arithmetic<ArithmeticType2>::value
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>::type = sprout::enabler
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>
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inline SPROUT_CONSTEXPR typename sprout::math::pow_promoted<ArithmeticType1, ArithmeticType2>::type
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pow(ArithmeticType1 x, ArithmeticType2 y) {
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typedef typename sprout::math::pow_promoted<ArithmeticType1, ArithmeticType2>::type type;
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return sprout::math::detail::pow(static_cast<type>(x), static_cast<type>(y));
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}
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} // namespace detail
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# if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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using std::pow;
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# else
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using sprout::math::detail::pow;
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# endif
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} // namespace math
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using sprout::math::pow;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_POW_HPP
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@ -2,5 +2,6 @@
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#define SPROUT_MATH_POWER_HPP
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#include <sprout/math/sqrt.hpp>
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#include <sprout/math/pow.hpp>
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#endif // #ifndef SPROUT_MATH_POWER_HPP
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@ -4,6 +4,8 @@
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#include <sprout/math/sin.hpp>
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#include <sprout/math/cos.hpp>
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#include <sprout/math/tan.hpp>
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#include <sprout/math/asin.hpp>
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#include <sprout/math/acos.hpp>
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#include <sprout/math/atan.hpp>
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#endif // #ifndef SPROUT_MATH_TRIGONOMETRIC_HPP
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