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Merge pull request #264 from Nojan/fast_trigonometry

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More precision for fastCos and fastSin #264
This commit is contained in:
Christophe Riccio 2014-11-14 21:05:06 +01:00
commit 5c85bcc877
4 changed files with 78 additions and 9 deletions
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20
glm/gtc/constants.hpp
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@ -71,6 +71,11 @@ namespace glm
template <typename genType>
GLM_FUNC_DECL genType pi();
/// Return pi * 2.
/// @see gtc_constants
template <typename genType>
GLM_FUNC_DECL genType two_pi();
/// Return square root of pi.
/// @see gtc_constants
template <typename genType>
@ -81,6 +86,11 @@ namespace glm
template <typename genType>
GLM_FUNC_DECL genType half_pi();
/// Return pi / 2 * 3.
/// @see gtc_constants
template <typename genType>
GLM_FUNC_DECL genType three_over_two_pi();
/// Return pi / 4.
/// @see gtc_constants
template <typename genType>
@ -91,11 +101,21 @@ namespace glm
template <typename genType>
GLM_FUNC_DECL genType one_over_pi();
/// Return 1 / (pi * 2).
/// @see gtc_constants
template <typename genType>
GLM_FUNC_DECL genType one_over_two_pi();
/// Return 2 / pi.
/// @see gtc_constants
template <typename genType>
GLM_FUNC_DECL genType two_over_pi();
/// Return 4 / pi.
/// @see gtc_constants
template <typename genType>
GLM_FUNC_DECL genType four_over_pi();
/// Return 2 / sqrt(pi).
/// @see gtc_constants
template <typename genType>

24
glm/gtc/constants.inl
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@ -54,6 +54,12 @@ namespace glm
return genType(3.14159265358979323846264338327950288);
}
template <typename genType>
GLM_FUNC_QUALIFIER genType two_pi()
{
return genType(6.28318530717958647692528676655900576);
}
template <typename genType>
GLM_FUNC_QUALIFIER genType root_pi()
{
@ -66,6 +72,12 @@ namespace glm
return genType(1.57079632679489661923132169163975144);
}
template <typename genType>
GLM_FUNC_QUALIFIER genType three_over_two_pi()
{
return genType(4.71238898038468985769396507491925432);
}
template <typename genType>
GLM_FUNC_QUALIFIER genType quarter_pi()
{
@ -78,12 +90,24 @@ namespace glm
return genType(0.318309886183790671537767526745028724);
}
template <typename genType>
GLM_FUNC_QUALIFIER genType one_over_two_pi()
{
return genType(0.159154943091895335768883763372514362);
}
template <typename genType>
GLM_FUNC_QUALIFIER genType two_over_pi()
{
return genType(0.636619772367581343075535053490057448);
}
template <typename genType>
GLM_FUNC_QUALIFIER genType four_over_pi()
{
return genType(1.273239544735162686151070106980114898);
}
template <typename genType>
GLM_FUNC_QUALIFIER genType two_over_root_pi()
{

8
glm/gtx/fast_trigonometry.hpp
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@ -39,6 +39,7 @@
// Dependency:
#include "../glm.hpp"
#include "../gtc/constants.hpp"
#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
# pragma message("GLM: GLM_GTX_fast_trigonometry extension included")
@ -49,14 +50,17 @@ namespace glm
/// @addtogroup gtx_fast_trigonometry
/// @{
//! Wrap an angle to [0 2pi[
//! From GLM_GTX_fast_trigonometry extension.
template <typename T>
GLM_FUNC_DECL T wrapAngle(const T& angle);
//! Faster than the common sin function but less accurate.
//! Defined between -2pi and 2pi.
//! From GLM_GTX_fast_trigonometry extension.
template <typename T>
GLM_FUNC_DECL T fastSin(const T& angle);
//! Faster than the common cos function but less accurate.
//! Defined between -2pi and 2pi.
//! From GLM_GTX_fast_trigonometry extension.
template <typename T>
GLM_FUNC_DECL T fastCos(const T& angle);

31
glm/gtx/fast_trigonometry.inl
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@ -9,24 +9,45 @@
namespace glm
{
// sin
template <typename T>
GLM_FUNC_QUALIFIER T fastSin(T const & x)
GLM_FUNC_QUALIFIER T wrapAngle(T const & angle)
{
return x - ((x * x * x) / T(6)) + ((x * x * x * x * x) / T(120)) - ((x * x * x * x * x * x * x) / T(5040));
return abs<T>(mod<T>(angle, two_pi<T>()));
}
VECTORIZE_VEC(fastSin)
VECTORIZE_VEC(wrapAngle)
template <typename T>
GLM_FUNC_QUALIFIER T cos_52s(T const & x)
{
T const xx(x * x);
return (T(0.9999932946) + xx * (T(-0.4999124376) + xx * (T(0.0414877472) + xx * T(-0.0012712095))));
}
VECTORIZE_VEC(cos_52s)
// 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));
T const angle(wrapAngle<T>(x));
if(angle<half_pi<T>()) return cos_52s(angle);
if(angle<pi<T>()) return -cos_52s(pi<T>() - angle);
if(angle<(T(3) * half_pi<T>())) return -cos_52s(angle - pi<T>());
return cos_52s(two_pi<T>() - angle);
}
VECTORIZE_VEC(fastCos)
// sin
template <typename T>
GLM_FUNC_QUALIFIER T fastSin(T const & x)
{
return fastCos<T>(half_pi<T>() - x);
}
VECTORIZE_VEC(fastSin)
// tan
template <typename T>
GLM_FUNC_QUALIFIER T fastTan(T const & x)