///////////////////////////////////////////////////////////////////////////////////
/// 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 gtx_vector_query
/// @file glm/gtx/vector_query.inl
/// @date 2008-03-10 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

#include <cassert>

namespace glm{
namespace detail
{
	template <typename T, precision P, template <typename, precision> class vecType>
	struct compute_areCollinear{};

	template <typename T, precision P>
	struct compute_areCollinear<T, P, tvec2>
	{
		GLM_FUNC_QUALIFIER static bool call(tvec2<T, P> const & v0, tvec2<T, P> const & v1, T const & epsilon)
		{
			return length(cross(tvec3<T, P>(v0, static_cast<T>(0)), tvec3<T, P>(v1, static_cast<T>(0)))) < epsilon;
		}
	};

	template <typename T, precision P>
	struct compute_areCollinear<T, P, tvec3>
	{
		GLM_FUNC_QUALIFIER static bool call(tvec3<T, P> const & v0, tvec3<T, P> const & v1, T const & epsilon)
		{
			return length(cross(v0, v1)) < epsilon;
		}
	};

	template <typename T, precision P>
	struct compute_areCollinear<T, P, tvec4>
	{
		GLM_FUNC_QUALIFIER static bool call(tvec4<T, P> const & v0, tvec4<T, P> const & v1, T const & epsilon)
		{
			return length(cross(tvec3<T, P>(v0), tvec3<T, P>(v1))) < epsilon;
		}
	};

	template <typename T, precision P, template <typename, precision> class vecType>
	struct compute_isCompNull{};

	template <typename T, precision P>
	struct compute_isCompNull<T, P, tvec2>
	{
		GLM_FUNC_QUALIFIER static tvec2<bool, P> call(tvec2<T, P> const & v, T const & epsilon)
		{
			return tvec2<bool, P>(
				(abs(v.x) < epsilon),
				(abs(v.y) < epsilon));
		}
	};

	template <typename T, precision P>
	struct compute_isCompNull<T, P, tvec3>
	{
		GLM_FUNC_QUALIFIER static tvec3<bool, P> call(tvec3<T, P> const & v, T const & epsilon)
		{
			return tvec3<bool, P>(
				(abs(v.x) < epsilon),
				(abs(v.y) < epsilon),
				(abs(v.z) < epsilon));
		}
	};

	template <typename T, precision P>
	struct compute_isCompNull<T, P, tvec4>
	{
		GLM_FUNC_QUALIFIER static tvec4<bool, P> call(tvec4<T, P> const & v, T const & epsilon)
		{
			return tvec4<bool, P>(
				(abs(v.x) < epsilon),
				(abs(v.y) < epsilon),
				(abs(v.z) < epsilon),
				(abs(v.w) < epsilon));
		}
	};

}//namespace detail

	template <typename T, precision P, template <typename, precision> class vecType>
	GLM_FUNC_QUALIFIER bool areCollinear
	(
		vecType<T, P> const & v0,
		vecType<T, P> const & v1,
		T const & epsilon
	)
	{
		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areCollinear' only accept floating-point inputs");

		return detail::compute_areCollinear<T, P, vecType>::call(v0, v1, epsilon);
	}

	template <typename T, precision P, template <typename, precision> class vecType>
	GLM_FUNC_QUALIFIER bool areOrthogonal
	(
		vecType<T, P> const & v0,
		vecType<T, P> const & v1,
		T const & epsilon
	)
	{
		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'areOrthogonal' only accept floating-point inputs");

		return abs(dot(v0, v1)) <= max(
			static_cast<T>(1),
			length(v0)) * max(static_cast<T>(1), length(v1)) * epsilon;
	}

	template <typename T, precision P, template <typename, precision> class vecType>
	GLM_FUNC_QUALIFIER bool isNormalized
	(
		vecType<T, P> const & v,
		T const & epsilon
	)
	{
		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNormalized' only accept floating-point inputs");

		return abs(length(v) - static_cast<T>(1)) <= static_cast<T>(2) * epsilon;
	}

	template <typename T, precision P, template <typename, precision> class vecType>
	GLM_FUNC_QUALIFIER bool isNull
	(
		vecType<T, P> const & v,
		T const & epsilon
	)
	{
		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isNull' only accept floating-point inputs");

		return length(v) <= epsilon;
	}

	template <typename T, precision P, template <typename, precision> class vecType>
	GLM_FUNC_QUALIFIER vecType<bool, P> isCompNull
	(
		vecType<T, P> const & v,
		T const & epsilon
	)
	{
		GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'isCompNull' only accept floating-point inputs");

		return detail::compute_isCompNull<T, P, vecType>::call(v, epsilon);
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER tvec2<bool, P> isCompNull
	(
		tvec2<T, P> const & v,
		T const & epsilon)
	{
		return tvec2<bool, P>(
			abs(v.x) < epsilon,
			abs(v.y) < epsilon);
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER tvec3<bool, P> isCompNull
	(
		tvec3<T, P> const & v,
		T const & epsilon
	)
	{
		return tvec3<bool, P>(
			abs(v.x) < epsilon,
			abs(v.y) < epsilon,
			abs(v.z) < epsilon);
	}

	template <typename T, precision P>
	GLM_FUNC_QUALIFIER tvec4<bool, P> isCompNull
	(
		tvec4<T, P> const & v,
		T const & epsilon
	)
	{
		return tvec4<bool, P>(
			abs(v.x) < epsilon,
			abs(v.y) < epsilon,
			abs(v.z) < epsilon,
			abs(v.w) < epsilon);
	}

	template <typename T, precision P, template <typename, precision> class vecType>
	GLM_FUNC_QUALIFIER bool areOrthonormal
	(
		vecType<T, P> const & v0,
		vecType<T, P> const & v1,
		T const & epsilon
	)
	{
		return isNormalized(v0, epsilon) && isNormalized(v1, epsilon) && (abs(dot(v0, v1)) <= epsilon);
	}

}//namespace glm