mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
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98 lines
3.7 KiB
C++
98 lines
3.7 KiB
C++
#ifndef SPROUT_MATH_ATAN2_HPP
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#define SPROUT_MATH_ATAN2_HPP
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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/detail/config.hpp>
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#include <sprout/math/detail/float_compute.hpp>
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#include <sprout/math/constants.hpp>
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#include <sprout/math/copysign.hpp>
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#include <sprout/math/signbit.hpp>
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#include <sprout/math/atan.hpp>
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#include <sprout/type_traits/enabler_if.hpp>
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#include <sprout/type_traits/float_promote.hpp>
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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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atan2_impl(T y, T x) {
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return x < 0 ? sprout::math::atan(y / x) + (
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y < 0 ? -sprout::math::pi<T>()
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: sprout::math::pi<T>()
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)
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: sprout::math::atan(y / 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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atan2(FloatType y, FloatType x) {
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return x == -std::numeric_limits<FloatType>::infinity()
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? y == std::numeric_limits<FloatType>::infinity() ? sprout::math::three_quarters_pi<FloatType>()
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: y == -std::numeric_limits<FloatType>::infinity() ? -sprout::math::three_quarters_pi<FloatType>()
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: sprout::math::copysign(sprout::math::pi<FloatType>(), y)
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: x == std::numeric_limits<FloatType>::infinity()
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? y == std::numeric_limits<FloatType>::infinity() ? sprout::math::quarter_pi<FloatType>()
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: y == -std::numeric_limits<FloatType>::infinity() ? -sprout::math::quarter_pi<FloatType>()
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: sprout::math::copysign(FloatType(0), y)
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: y == std::numeric_limits<FloatType>::infinity() ? sprout::math::half_pi<FloatType>()
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: y == -std::numeric_limits<FloatType>::infinity() ? -sprout::math::half_pi<FloatType>()
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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: std::atan2(y, x)
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#else
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: y == 0
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? x < 0 ? sprout::math::copysign(sprout::math::pi<FloatType>(), y)
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: x > 0 ? sprout::math::copysign(FloatType(0), y)
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: sprout::math::signbit(x) ? sprout::math::copysign(sprout::math::pi<FloatType>(), y)
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: sprout::math::copysign(FloatType(0), y)
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: x == 0
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? y < 0 ? -sprout::math::half_pi<FloatType>()
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: sprout::math::half_pi<FloatType>()
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: static_cast<FloatType>(
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sprout::math::detail::atan2_impl(
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static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(y),
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static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x)
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)
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)
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#endif
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;
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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::float_promote<ArithmeticType1, ArithmeticType2>::type
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atan2(ArithmeticType1 y, ArithmeticType2 x) {
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typedef typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type type;
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return sprout::math::detail::atan2(static_cast<type>(y), static_cast<type>(x));
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}
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} // namespace detail
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//
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// atan2
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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::float_promote<ArithmeticType1, ArithmeticType2>::type
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atan2(ArithmeticType1 y, ArithmeticType2 x) {
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return sprout::math::detail::atan2(y, x);
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}
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} // namespace math
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using sprout::math::atan2;
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} // namespace sprout
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#endif // #ifndef SPROUT_MATH_ATAN2_HPP
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