norm.hpp

///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
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/// @ref gtx_norm
/// @file glm/gtx/norm.hpp
/// @date 2005-12-21 / 2011-06-07
/// @author Christophe Riccio
///
/// @see core (dependence)
/// @see gtx_quaternion (dependence)
///
/// @defgroup gtx_norm GLM_GTX_norm
/// @ingroup gtx
/// 
/// @brief Various ways to compute vector norms.
/// 
/// <glm/gtx/norm.hpp> need to be included to use these functionalities.
///////////////////////////////////////////////////////////////////////////////////

#pragma once

// Dependency:
#include "../glm.hpp"
#include "../gtx/quaternion.hpp"

#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
#	pragma message("GLM: GLM_GTX_norm extension included")
#endif

namespace glm
{
	/// @addtogroup gtx_norm
	/// @{

	//! Returns the squared length of x.
	//! From GLM_GTX_norm extension.
	template <typename T>
	GLM_FUNC_DECL T length2(
		T const & x);

	//! Returns the squared length of x.
	//! From GLM_GTX_norm extension.
	template <typename genType>
	GLM_FUNC_DECL typename genType::value_type length2(
		genType const & x);
		
	//! Returns the squared distance between p0 and p1, i.e., length(p0 - p1).
	//! From GLM_GTX_norm extension.
	template <typename T>
	GLM_FUNC_DECL T distance2(
		T const & p0,
		T const & p1);
		
	//! Returns the squared distance between p0 and p1, i.e., length(p0 - p1).
	//! From GLM_GTX_norm extension.
	template <typename genType>
	GLM_FUNC_DECL typename genType::value_type distance2(
		genType const & p0,
		genType const & p1);

	//! Returns the L1 norm between x and y.
	//! From GLM_GTX_norm extension.
	template <typename T, precision P>
	GLM_FUNC_DECL T l1Norm(
		tvec3<T, P> const & x,
		tvec3<T, P> const & y);
		
	//! Returns the L1 norm of v.
	//! From GLM_GTX_norm extension.
	template <typename T, precision P>
	GLM_FUNC_DECL T l1Norm(
		tvec3<T, P> const & v);
		
	//! Returns the L2 norm between x and y.
	//! From GLM_GTX_norm extension.
	template <typename T, precision P>
	GLM_FUNC_DECL T l2Norm(
		tvec3<T, P> const & x,
		tvec3<T, P> const & y);
		
	//! Returns the L2 norm of v.
	//! From GLM_GTX_norm extension.
	template <typename T, precision P>
	GLM_FUNC_DECL T l2Norm(
		tvec3<T, P> const & x);
		
	//! Returns the L norm between x and y.
	//! From GLM_GTX_norm extension.
	template <typename T, precision P>
	GLM_FUNC_DECL T lxNorm(
		tvec3<T, P> const & x,
		tvec3<T, P> const & y,
		unsigned int Depth);

	//! Returns the L norm of v.
	//! From GLM_GTX_norm extension.
	template <typename T, precision P>
	GLM_FUNC_DECL T lxNorm(
		tvec3<T, P> const & x,
		unsigned int Depth);

	/// @}
}//namespace glm

#include "norm.inl"