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Diffstat (limited to 'include/gal/opengl/glm/gtx/fast_trigonometry.inl')
-rw-r--r-- | include/gal/opengl/glm/gtx/fast_trigonometry.inl | 75 |
1 files changed, 75 insertions, 0 deletions
diff --git a/include/gal/opengl/glm/gtx/fast_trigonometry.inl b/include/gal/opengl/glm/gtx/fast_trigonometry.inl new file mode 100644 index 0000000..b2179a6 --- /dev/null +++ b/include/gal/opengl/glm/gtx/fast_trigonometry.inl @@ -0,0 +1,75 @@ +/////////////////////////////////////////////////////////////////////////////////////////////////// +// OpenGL Mathematics Copyright (c) 2005 - 2013 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 |