///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 – 2015 G-Truc Creation (www.g-truc.net)
/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
/// copies of the Software, and to permit persons to whom the Software is
/// furnished to do so, subject to the following conditions:
///
/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
///
/// Restrictions:
/// By making use of the Software for military purposes, you choose to make
/// a Bunny unhappy.
///
/// THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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///
/// @ref gtx_fast_trigonometry
/// @file glm/gtx/fast_trigonometry.inl
/// @date 2006-01-08 / 2014-11-25
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
namespace detail
{
template
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
GLM_FUNC_QUALIFIER vecType
{
return detail::functor1
}
}//namespace detail
// wrapAngle
template
GLM_FUNC_QUALIFIER T wrapAngle(T angle)
{
return abs
}
template
GLM_FUNC_QUALIFIER vecType
{
return detail::functor1
}
// cos
template
GLM_FUNC_QUALIFIER T fastCos(T x)
{
T const angle(wrapAngle
if(angle
return detail::cos_52s(angle);
if(angle
return -detail::cos_52s(pi
if(angle<(T(3) * half_pi
return -detail::cos_52s(angle – pi
return detail::cos_52s(two_pi
}
template
GLM_FUNC_QUALIFIER vecType
{
return detail::functor1
}
// sin
template
GLM_FUNC_QUALIFIER T fastSin(T x)
{
return fastCos
}
template
GLM_FUNC_QUALIFIER vecType
{
return detail::functor1
}
// tan
template
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
GLM_FUNC_QUALIFIER vecType
{
return detail::functor1
}
// asin
template
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
GLM_FUNC_QUALIFIER vecType
{
return detail::functor1
}
// acos
template
GLM_FUNC_QUALIFIER T fastAcos(T x)
{
return T(1.5707963267948966192313216916398) – fastAsin(x); //(PI / 2)
}
template
GLM_FUNC_QUALIFIER vecType
{
return detail::functor1
}
// atan
template
GLM_FUNC_QUALIFIER T fastAtan(T y, T x)
{
T sgn = sign(y) * sign(x);
return abs(fastAtan(y / x)) * sgn;
}
template
GLM_FUNC_QUALIFIER vecType
{
return detail::functor2
}
template
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
GLM_FUNC_QUALIFIER vecType
{
return detail::functor1
}
}//namespace glm