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Diffstat (limited to 'Project/glm/gtx/fast_trigonometry.inl')
| -rw-r--r-- | Project/glm/gtx/fast_trigonometry.inl | 142 |
1 files changed, 142 insertions, 0 deletions
diff --git a/Project/glm/gtx/fast_trigonometry.inl b/Project/glm/gtx/fast_trigonometry.inl new file mode 100644 index 0000000..1a710cb --- /dev/null +++ b/Project/glm/gtx/fast_trigonometry.inl @@ -0,0 +1,142 @@ +/// @ref gtx_fast_trigonometry + +namespace glm{ +namespace detail +{ + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> taylorCos(vec<L, T, Q> const& x) + { + return static_cast<T>(1) + - (x * x) * (1.f / 2.f) + + ((x * x) * (x * x)) * (1.f / 24.f) + - (((x * x) * (x * x)) * (x * x)) * (1.f / 720.f) + + (((x * x) * (x * x)) * ((x * x) * (x * x))) * (1.f / 40320.f); + } + + template<typename T> + GLM_FUNC_QUALIFIER T cos_52s(T x) + { + T const xx(x * x); + return (T(0.9999932946) + xx * (T(-0.4999124376) + xx * (T(0.0414877472) + xx * T(-0.0012712095)))); + } + + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> cos_52s(vec<L, T, Q> const& x) + { + return detail::functor1<vec, L, T, T, Q>::call(cos_52s, x); + } +}//namespace detail + + // wrapAngle + template<typename T> + GLM_FUNC_QUALIFIER T wrapAngle(T angle) + { + return abs<T>(mod<T>(angle, two_pi<T>())); + } + + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> wrapAngle(vec<L, T, Q> const& x) + { + return detail::functor1<vec, L, T, T, Q>::call(wrapAngle, x); + } + + // cos + template<typename T> + GLM_FUNC_QUALIFIER T fastCos(T x) + { + T const angle(wrapAngle<T>(x)); + + if(angle < half_pi<T>()) + return detail::cos_52s(angle); + if(angle < pi<T>()) + return -detail::cos_52s(pi<T>() - angle); + if(angle < (T(3) * half_pi<T>())) + return -detail::cos_52s(angle - pi<T>()); + + return detail::cos_52s(two_pi<T>() - angle); + } + + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> fastCos(vec<L, T, Q> const& x) + { + return detail::functor1<vec, L, T, T, Q>::call(fastCos, x); + } + + // sin + template<typename T> + GLM_FUNC_QUALIFIER T fastSin(T x) + { + return fastCos<T>(half_pi<T>() - x); + } + + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> fastSin(vec<L, T, Q> const& x) + { + return detail::functor1<vec, L, T, T, Q>::call(fastSin, x); + } + + // tan + template<typename T> + GLM_FUNC_QUALIFIER T fastTan(T x) + { + return x + (x * x * x * T(0.3333333333)) + (x * x * x * x * x * T(0.1333333333333)) + (x * x * x * x * x * x * x * T(0.0539682539)); + } + + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> fastTan(vec<L, T, Q> const& x) + { + return detail::functor1<vec, L, T, T, Q>::call(fastTan, x); + } + + // asin + template<typename T> + GLM_FUNC_QUALIFIER T fastAsin(T x) + { + return x + (x * x * x * T(0.166666667)) + (x * x * x * x * x * T(0.075)) + (x * x * x * x * x * x * x * T(0.0446428571)) + (x * x * x * x * x * x * x * x * x * T(0.0303819444));// + (x * x * x * x * x * x * x * x * x * x * x * T(0.022372159)); + } + + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> fastAsin(vec<L, T, Q> const& x) + { + return detail::functor1<vec, L, T, T, Q>::call(fastAsin, x); + } + + // acos + template<typename T> + GLM_FUNC_QUALIFIER T fastAcos(T x) + { + return T(1.5707963267948966192313216916398) - fastAsin(x); //(PI / 2) + } + + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> fastAcos(vec<L, T, Q> const& x) + { + return detail::functor1<vec, L, T, T, Q>::call(fastAcos, x); + } + + // atan + template<typename T> + GLM_FUNC_QUALIFIER T fastAtan(T y, T x) + { + T sgn = sign(y) * sign(x); + return abs(fastAtan(y / x)) * sgn; + } + + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> fastAtan(vec<L, T, Q> const& y, vec<L, T, Q> const& x) + { + return detail::functor2<vec, L, T, Q>::call(fastAtan, y, x); + } + + template<typename T> + GLM_FUNC_QUALIFIER T fastAtan(T x) + { + return x - (x * x * x * T(0.333333333333)) + (x * x * x * x * x * T(0.2)) - (x * x * x * x * x * x * x * T(0.1428571429)) + (x * x * x * x * x * x * x * x * x * T(0.111111111111)) - (x * x * x * x * x * x * x * x * x * x * x * T(0.0909090909)); + } + + template<length_t L, typename T, qualifier Q> + GLM_FUNC_QUALIFIER vec<L, T, Q> fastAtan(vec<L, T, Q> const& x) + { + return detail::functor1<vec, L, T, T, Q>::call(fastAtan, x); + } +}//namespace glm |