///////////////////////////////////////////////////////////////////////////////////
/// 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
/// of this software and associated documentation files (the "Software"), to deal
/// in the Software without restriction, including without limitation the rights
/// 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,
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
/// THE SOFTWARE.
///
/// @ref gtc_constants
/// @file glm/gtc/constants.inl
/// @date 2011-10-14 / 2014-10-25
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

#include <limits>

namespace glm
{
	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType epsilon()
	{
		return std::numeric_limits<genType>::epsilon();
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType zero()
	{
		return genType(0);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType one()
	{
		return genType(1);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType pi()
	{
		return genType(3.14159265358979323846264338327950288);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType two_pi()
	{
		return genType(6.28318530717958647692528676655900576);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_pi()
	{
		return genType(1.772453850905516027);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType half_pi()
	{
		return genType(1.57079632679489661923132169163975144);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType three_over_two_pi()
	{
		return genType(4.71238898038468985769396507491925432);           
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType quarter_pi()
	{
		return genType(0.785398163397448309615660845819875721);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType one_over_pi()
	{
		return genType(0.318309886183790671537767526745028724);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType one_over_two_pi()
	{
		return genType(0.159154943091895335768883763372514362);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType two_over_pi()
	{
		return genType(0.636619772367581343075535053490057448);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType four_over_pi()
	{
		return genType(1.273239544735162686151070106980114898);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType two_over_root_pi()
	{
		return genType(1.12837916709551257389615890312154517);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType one_over_root_two()
	{
		return genType(0.707106781186547524400844362104849039);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_half_pi()
	{
		return genType(1.253314137315500251);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_two_pi()
	{
		return genType(2.506628274631000502);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_ln_four()
	{
		return genType(1.17741002251547469);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType e()
	{
		return genType(2.71828182845904523536);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType euler()
	{
		return genType(0.577215664901532860606);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_two()
	{
		return genType(1.41421356237309504880168872420969808);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_three()
	{
		return genType(1.73205080756887729352744634150587236);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType root_five()
	{
		return genType(2.23606797749978969640917366873127623);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType ln_two()
	{
		return genType(0.693147180559945309417232121458176568);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType ln_ten()
	{
		return genType(2.30258509299404568401799145468436421);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType ln_ln_two()
	{
		return genType(-0.3665129205816643);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType third()
	{
		return genType(0.3333333333333333333333333333333333333333);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType two_thirds()
	{
		return genType(0.666666666666666666666666666666666666667);
	}

	template <typename genType>
	GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType golden_ratio()
	{
		return genType(1.61803398874989484820458683436563811);
	}
} //namespace glm
