mirror of
https://github.com/bolero-MURAKAMI/Sprout
synced 2025-08-03 12:49:50 +00:00
fix: math functions (support for inferior C++14 standard)
add C++14 constexpr modifying algorithms
This commit is contained in:
bolero-MURAKAMI
parent
58cff54e0d
commit
c58c9cc0fc
106 changed files with 3465 additions and 2144 deletions
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@ -25,6 +25,21 @@
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namespace sprout {
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namespace math {
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namespace detail {
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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inline SPROUT_CONSTEXPR float
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builtin_atan2(float y, float x) {
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return __builtin_atan2f(y, x);
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}
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inline SPROUT_CONSTEXPR double
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builtin_atan2(double y, double x) {
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return __builtin_atan2(y, x);
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}
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inline SPROUT_CONSTEXPR long double
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builtin_atan2(long double y, long double x) {
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return __builtin_atan2l(y, x);
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}
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#endif
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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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@ -35,63 +50,10 @@ namespace sprout {
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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 sprout::math::isnan(y)
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? sprout::math::isnan(x)
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? sprout::math::signbit(y) && sprout::math::signbit(x) ? -sprout::numeric_limits<FloatType>::quiet_NaN()
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: sprout::numeric_limits<FloatType>::quiet_NaN()
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: y
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: sprout::math::isnan(x) ? x
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: x == -sprout::numeric_limits<FloatType>::infinity()
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? y == sprout::numeric_limits<FloatType>::infinity() ? sprout::math::three_quarters_pi<FloatType>()
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: y == -sprout::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 == sprout::numeric_limits<FloatType>::infinity()
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? y == sprout::numeric_limits<FloatType>::infinity() ? sprout::math::quarter_pi<FloatType>()
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: y == -sprout::numeric_limits<FloatType>::infinity() ? -sprout::math::quarter_pi<FloatType>()
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: FloatType(0) * y
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: y == sprout::numeric_limits<FloatType>::infinity() ? sprout::math::half_pi<FloatType>()
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: y == -sprout::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 ? FloatType(0) * y
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: sprout::math::signbit(x) ? sprout::math::copysign(sprout::math::pi<FloatType>(), y)
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: 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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// issue:
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// [ !SPROUT_USE_BUILTIN_CMATH_FUNCTION ]
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// atan2(<28>}0, -0) returns <20>}ƒÎ .
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@ -101,7 +63,60 @@ namespace sprout {
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// atan2(-NaN, -NaN) returns -NaN .
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// # returns +NaN . ( same as atan2(+NaN, +NaN) )
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//
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using sprout::math::detail::atan2;
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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 sprout::math::isnan(y)
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? sprout::math::isnan(x)
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? sprout::math::signbit(y) && sprout::math::signbit(x) ? -sprout::numeric_limits<FloatType>::quiet_NaN()
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: sprout::numeric_limits<FloatType>::quiet_NaN()
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: y
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: sprout::math::isnan(x) ? x
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: x == -sprout::numeric_limits<FloatType>::infinity()
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? y == sprout::numeric_limits<FloatType>::infinity() ? sprout::math::three_quarters_pi<FloatType>()
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: y == -sprout::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 == sprout::numeric_limits<FloatType>::infinity()
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? y == sprout::numeric_limits<FloatType>::infinity() ? sprout::math::quarter_pi<FloatType>()
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: y == -sprout::numeric_limits<FloatType>::infinity() ? -sprout::math::quarter_pi<FloatType>()
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: FloatType(0) * y
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: y == sprout::numeric_limits<FloatType>::infinity() ? sprout::math::half_pi<FloatType>()
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: y == -sprout::numeric_limits<FloatType>::infinity() ? -sprout::math::half_pi<FloatType>()
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#if SPROUT_USE_BUILTIN_CMATH_FUNCTION
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: sprout::math::detail::builtin_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 ? FloatType(0) * y
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: sprout::math::signbit(x) ? sprout::math::copysign(sprout::math::pi<FloatType>(), y)
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: 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::atan2(static_cast<type>(y), static_cast<type>(x));
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}
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} // namespace math
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using sprout::math::atan2;
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