CS计算机代考程序代写 ///////////////////////////////////////////////////////////////////////////////////

///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
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/// all copies or substantial portions of the Software.
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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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 class vecType>
GLM_FUNC_QUALIFIER vecType cos_52s(vecType const & x)
{
return detail::functor1::call(cos_52s, x);
}
}//namespace detail

// wrapAngle
template
GLM_FUNC_QUALIFIER T wrapAngle(T angle)
{
return abs(mod(angle, two_pi()));
}

template class vecType>
GLM_FUNC_QUALIFIER vecType wrapAngle(vecType const & x)
{
return detail::functor1::call(wrapAngle, x);
}

// cos
template
GLM_FUNC_QUALIFIER T fastCos(T x)
{
T const angle(wrapAngle(x));

if(angle())
return detail::cos_52s(angle);
if(angle())
return -detail::cos_52s(pi() – angle);
if(angle<(T(3) * half_pi()))
return -detail::cos_52s(angle – pi());

return detail::cos_52s(two_pi() – angle);
}

template class vecType>
GLM_FUNC_QUALIFIER vecType fastCos(vecType const & x)
{
return detail::functor1::call(fastCos, x);
}

// sin
template
GLM_FUNC_QUALIFIER T fastSin(T x)
{
return fastCos(half_pi() – x);
}

template class vecType>
GLM_FUNC_QUALIFIER vecType fastSin(vecType const & x)
{
return detail::functor1::call(fastSin, x);
}

// 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 class vecType>
GLM_FUNC_QUALIFIER vecType fastTan(vecType const & x)
{
return detail::functor1::call(fastTan, x);
}

// 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 class vecType>
GLM_FUNC_QUALIFIER vecType fastAsin(vecType const & x)
{
return detail::functor1::call(fastAsin, x);
}

// acos
template
GLM_FUNC_QUALIFIER T fastAcos(T x)
{
return T(1.5707963267948966192313216916398) – fastAsin(x); //(PI / 2)
}

template class vecType>
GLM_FUNC_QUALIFIER vecType fastAcos(vecType const & x)
{
return detail::functor1::call(fastAcos, x);
}

// atan
template
GLM_FUNC_QUALIFIER T fastAtan(T y, T x)
{
T sgn = sign(y) * sign(x);
return abs(fastAtan(y / x)) * sgn;
}

template class vecType>
GLM_FUNC_QUALIFIER vecType fastAtan(vecType const & y, vecType const & x)
{
return detail::functor2::call(fastAtan, y, x);
}

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 class vecType>
GLM_FUNC_QUALIFIER vecType fastAtan(vecType const & x)
{
return detail::functor1::call(fastAtan, x);
}
}//namespace glm