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Merge pull request #268 from g-truc/revert-264-fast_trigonometry
Revert "More precision for fastCos and fastSin "
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commit
5ad706ec75
@ -71,11 +71,6 @@ namespace glm
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template <typename genType>
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GLM_FUNC_DECL genType pi();
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/// Return pi * 2.
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/// @see gtc_constants
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template <typename genType>
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GLM_FUNC_DECL genType two_pi();
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/// Return square root of pi.
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/// @see gtc_constants
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template <typename genType>
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@ -86,11 +81,6 @@ namespace glm
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template <typename genType>
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GLM_FUNC_DECL genType half_pi();
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/// Return pi / 2 * 3.
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/// @see gtc_constants
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template <typename genType>
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GLM_FUNC_DECL genType three_over_two_pi();
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/// Return pi / 4.
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/// @see gtc_constants
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template <typename genType>
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@ -101,21 +91,11 @@ namespace glm
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template <typename genType>
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GLM_FUNC_DECL genType one_over_pi();
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/// Return 1 / (pi * 2).
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/// @see gtc_constants
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template <typename genType>
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GLM_FUNC_DECL genType one_over_two_pi();
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/// Return 2 / pi.
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/// @see gtc_constants
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template <typename genType>
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GLM_FUNC_DECL genType two_over_pi();
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/// Return 4 / pi.
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/// @see gtc_constants
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template <typename genType>
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GLM_FUNC_DECL genType four_over_pi();
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/// Return 2 / sqrt(pi).
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/// @see gtc_constants
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template <typename genType>
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@ -54,12 +54,6 @@ namespace glm
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return genType(3.14159265358979323846264338327950288);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType two_pi()
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{
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return genType(6.28318530717958647692528676655900576);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType root_pi()
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{
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@ -72,12 +66,6 @@ namespace glm
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return genType(1.57079632679489661923132169163975144);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType three_over_two_pi()
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{
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return genType(4.71238898038468985769396507491925432);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType quarter_pi()
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{
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@ -90,24 +78,12 @@ namespace glm
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return genType(0.318309886183790671537767526745028724);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType one_over_two_pi()
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{
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return genType(0.159154943091895335768883763372514362);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType two_over_pi()
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{
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return genType(0.636619772367581343075535053490057448);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType four_over_pi()
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{
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return genType(1.273239544735162686151070106980114898);
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}
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template <typename genType>
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GLM_FUNC_QUALIFIER genType two_over_root_pi()
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{
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@ -39,7 +39,6 @@
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// Dependency:
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#include "../glm.hpp"
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#include "../gtc/constants.hpp"
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#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
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# pragma message("GLM: GLM_GTX_fast_trigonometry extension included")
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@ -50,17 +49,14 @@ namespace glm
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/// @addtogroup gtx_fast_trigonometry
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/// @{
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//! Wrap an angle to [0 2pi[
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//! Faster than the common sin function but less accurate.
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//! Defined between -2pi and 2pi.
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//! From GLM_GTX_fast_trigonometry extension.
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template <typename T>
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GLM_FUNC_DECL T wrapAngle(const T& angle);
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//! Faster than the common sin function but less accurate.
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//! From GLM_GTX_fast_trigonometry extension.
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template <typename T>
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GLM_FUNC_DECL T fastSin(const T& angle);
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//! Faster than the common cos function but less accurate.
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//! Defined between -2pi and 2pi.
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//! From GLM_GTX_fast_trigonometry extension.
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template <typename T>
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GLM_FUNC_DECL T fastCos(const T& angle);
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@ -9,45 +9,24 @@
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namespace glm
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{
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template <typename T>
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GLM_FUNC_QUALIFIER T wrapAngle(T const & angle)
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// sin
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template <typename T>
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GLM_FUNC_QUALIFIER T fastSin(T const & x)
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{
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return abs<T>(mod<T>(angle, two_pi<T>()));
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return x - ((x * x * x) / T(6)) + ((x * x * x * x * x) / T(120)) - ((x * x * x * x * x * x * x) / T(5040));
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}
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VECTORIZE_VEC(wrapAngle)
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template <typename T>
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GLM_FUNC_QUALIFIER T cos_52s(T const & x)
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{
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T const xx(x * x);
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return (T(0.9999932946) + xx * (T(-0.4999124376) + xx * (T(0.0414877472) + xx * T(-0.0012712095))));
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}
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VECTORIZE_VEC(cos_52s)
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VECTORIZE_VEC(fastSin)
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// cos
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template <typename T>
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GLM_FUNC_QUALIFIER T fastCos(T const & x)
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{
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T const angle(wrapAngle<T>(x));
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if(angle<half_pi<T>()) return cos_52s(angle);
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if(angle<pi<T>()) return -cos_52s(pi<T>() - angle);
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if(angle<(T(3) * half_pi<T>())) return -cos_52s(angle - pi<T>());
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return cos_52s(two_pi<T>() - angle);
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return T(1) - (x * x * T(0.5)) + (x * x * x * x * T(0.041666666666)) - (x * x * x * x * x * x * T(0.00138888888888));
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}
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VECTORIZE_VEC(fastCos)
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// sin
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template <typename T>
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GLM_FUNC_QUALIFIER T fastSin(T const & x)
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{
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return fastCos<T>(half_pi<T>() - x);
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}
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VECTORIZE_VEC(fastSin)
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// tan
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template <typename T>
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GLM_FUNC_QUALIFIER T fastTan(T const & x)
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