mirror of
https://github.com/bolero-MURAKAMI/Sprout
synced 2024-11-12 21:09:01 +00:00
a27c83e939
fix for special values: trigonometric functions
96 lines
3.5 KiB
C++
96 lines
3.5 KiB
C++
#ifndef SPROUT_MATH_ATAN2_HPP
|
|
#define SPROUT_MATH_ATAN2_HPP
|
|
|
|
#include <limits>
|
|
#include <type_traits>
|
|
#include <sprout/config.hpp>
|
|
#include <sprout/math/detail/config.hpp>
|
|
#include <sprout/math/detail/float_compute.hpp>
|
|
#include <sprout/math/constants.hpp>
|
|
#include <sprout/math/atan.hpp>
|
|
#include <sprout/type_traits/float_promote.hpp>
|
|
#include <sprout/type_traits/enabler_if.hpp>
|
|
#include <sprout/type_traits/float_promote.hpp>
|
|
|
|
namespace sprout {
|
|
namespace math {
|
|
namespace detail {
|
|
template<typename T>
|
|
inline SPROUT_CONSTEXPR T
|
|
atan2_impl(T y, T x) {
|
|
return x < 0 ? sprout::math::atan(y / x) + (
|
|
y < 0 ? -sprout::math::pi<T>()
|
|
: sprout::math::pi<T>()
|
|
)
|
|
: sprout::math::atan(y / x)
|
|
;
|
|
}
|
|
|
|
template<
|
|
typename FloatType,
|
|
typename sprout::enabler_if<std::is_floating_point<FloatType>::value>::type = sprout::enabler
|
|
>
|
|
inline SPROUT_CONSTEXPR FloatType
|
|
atan2(FloatType y, FloatType x) {
|
|
return x == -std::numeric_limits<FloatType>::infinity()
|
|
? y == std::numeric_limits<FloatType>::infinity() ? sprout::math::three_quarters_pi<FloatType>()
|
|
: y == -std::numeric_limits<FloatType>::infinity() ? -sprout::math::three_quarters_pi<FloatType>()
|
|
: y < 0 ? -sprout::math::half_pi<FloatType>()
|
|
: sprout::math::half_pi<FloatType>()
|
|
: x == std::numeric_limits<FloatType>::infinity()
|
|
? y == std::numeric_limits<FloatType>::infinity() ? sprout::math::quarter_pi<FloatType>()
|
|
: y == -std::numeric_limits<FloatType>::infinity() ? -sprout::math::quarter_pi<FloatType>()
|
|
: FloatType(0)
|
|
: y == std::numeric_limits<FloatType>::infinity() ? sprout::math::half_pi<FloatType>()
|
|
: y == -std::numeric_limits<FloatType>::infinity() ? -sprout::math::half_pi<FloatType>()
|
|
#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
|
|
: std::atan2(y, x)
|
|
#else
|
|
: y == 0
|
|
? x < 0 ? sprout::math::pi<FloatType>()
|
|
: FloatType(0)
|
|
: x == 0
|
|
? y < 0 ? -sprout::math::half_pi<FloatType>()
|
|
: sprout::math::half_pi<FloatType>()
|
|
: static_cast<FloatType>(
|
|
sprout::math::detail::atan2_impl(
|
|
static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(y),
|
|
static_cast<typename sprout::math::detail::float_compute<FloatType>::type>(x)
|
|
)
|
|
)
|
|
#endif
|
|
;
|
|
}
|
|
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
|
|
atan2(ArithmeticType1 y, ArithmeticType2 x) {
|
|
typedef typename sprout::float_promote<ArithmeticType1, ArithmeticType2>::type type;
|
|
return sprout::math::detail::atan2(static_cast<type>(y), static_cast<type>(x));
|
|
}
|
|
} // namespace detail
|
|
//
|
|
// atan2
|
|
//
|
|
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
|
|
atan2(ArithmeticType1 y, ArithmeticType2 x) {
|
|
return sprout::math::detail::atan2(y, x);
|
|
}
|
|
} // namespace math
|
|
|
|
using sprout::math::atan2;
|
|
} // namespace sprout
|
|
|
|
#endif // #ifndef SPROUT_MATH_ATAN2_HPP
|