| /////////////////////////////////////////////////////////////////////////////////////////////////// |
| // OpenGL Mathematics Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net) |
| /////////////////////////////////////////////////////////////////////////////////////////////////// |
| // Created : 2006-01-08 |
| // Updated : 2011-10-14 |
| // Licence : This source is under MIT License |
| // File : glm/gtx/fast_trigonometry.inl |
| /////////////////////////////////////////////////////////////////////////////////////////////////// |
| |
| namespace glm |
| { |
| // sin |
| template <typename T> |
| GLM_FUNC_QUALIFIER T fastSin(T const & x) |
| { |
| return x - ((x * x * x) / T(6)) + ((x * x * x * x * x) / T(120)) - ((x * x * x * x * x * x * x) / T(5040)); |
| } |
| |
| VECTORIZE_VEC(fastSin) |
| |
| // cos |
| template <typename T> |
| GLM_FUNC_QUALIFIER T fastCos(T const & x) |
| { |
| return T(1) - (x * x * T(0.5)) + (x * x * x * x * T(0.041666666666)) - (x * x * x * x * x * x * T(0.00138888888888)); |
| } |
| |
| VECTORIZE_VEC(fastCos) |
| |
| // tan |
| template <typename T> |
| GLM_FUNC_QUALIFIER T fastTan(T const & 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)); |
| } |
| |
| VECTORIZE_VEC(fastTan) |
| |
| // asin |
| template <typename T> |
| GLM_FUNC_QUALIFIER T fastAsin(T const & 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)); |
| } |
| |
| VECTORIZE_VEC(fastAsin) |
| |
| // acos |
| template <typename T> |
| GLM_FUNC_QUALIFIER T fastAcos(T const & x) |
| { |
| return T(1.5707963267948966192313216916398) - fastAsin(x); //(PI / 2) |
| } |
| |
| VECTORIZE_VEC(fastAcos) |
| |
| // atan |
| template <typename T> |
| GLM_FUNC_QUALIFIER T fastAtan(T const & y, T const & x) |
| { |
| T sgn = sign(y) * sign(x); |
| return abs(fastAtan(y / x)) * sgn; |
| } |
| |
| VECTORIZE_VEC_VEC(fastAtan) |
| |
| template <typename T> |
| GLM_FUNC_QUALIFIER T fastAtan(T const & 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)); |
| } |
| |
| VECTORIZE_VEC(fastAtan) |
| |
| }//namespace glm |
