Vector

Vector utilities. More...

Functions
template<typename Kernel >
Kernel::FT	Euclid::length (const CGAL::Vector_3< Kernel > &vec)
	Length of a vector.
template<typename Kernel >
void	Euclid::normalize (CGAL::Vector_3< Kernel > &vec)
	Normalize a vector.
template<typename Kernel >
CGAL::Vector_3< Kernel >	Euclid::normalized (const CGAL::Vector_3< Kernel > &vec)
	Return a normalized version of the input vector.
template<typename Kernel >
Kernel::FT	Euclid::area (const CGAL::Point_3< Kernel > &p1, const CGAL::Point_3< Kernel > &p2, const CGAL::Point_3< Kernel > &p3)
	Area of the triangle.
template<typename Kernel >
Kernel::FT	Euclid::sine (const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &v2)
	Sine of the angle between two vectors.
template<typename Kernel >
Kernel::FT	Euclid::sine (const CGAL::Point_3< Kernel > &p1, const CGAL::Point_3< Kernel > &p2, const CGAL::Point_3< Kernel > &p3)
	Sine of the angle between (p1-p2) and (p3-p2).
template<typename Kernel >
Kernel::FT	Euclid::cosine (const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &v2)
	Cosine of the angle between two vectors.
template<typename Kernel >
Kernel::FT	Euclid::cosine (const CGAL::Point_3< Kernel > &p1, const CGAL::Point_3< Kernel > &p2, const CGAL::Point_3< Kernel > &p3)
	Cosine of the angle between (p1-p2) and (p3-p2).
template<typename Kernel >
Kernel::FT	Euclid::tangent (const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &v2)
	Tangent of the angle between two vectors.
template<typename Kernel >
Kernel::FT	Euclid::tangent (const CGAL::Point_3< Kernel > &p1, const CGAL::Point_3< Kernel > &p2, const CGAL::Point_3< Kernel > &p3)
	Tangent of the angle between (p1-p2) and (p3-p2).
template<typename Kernel >
Kernel::FT	Euclid::cotangent (const CGAL::Vector_3< Kernel > &v1, const CGAL::Vector_3< Kernel > &v2)
	Cotangent of the angle between two vectors.
template<typename Kernel >
Kernel::FT	Euclid::cotangent (const CGAL::Point_3< Kernel > &p1, const CGAL::Point_3< Kernel > &p2, const CGAL::Point_3< Kernel > &p3)
	Cotangent of the angle between (p1-p2) and (p3-p2).
template<typename CGALVec , typename Derived >
void	Euclid::cgal_to_eigen (const CGALVec &from, Eigen::PlainObjectBase< Derived > &to)
	Convert a CGAL vector to Eigen. More...
template<typename Derived , typename CGALVec >
void	Euclid::eigen_to_cgal (const Eigen::DenseBase< Derived > &from, CGALVec &to)
	Convert an Eigen vector to CGAL. More...

Detailed Description

This package contains convenient functions to work with vectors of CGAL and Eigen.

Function Documentation

template<typename CGALVec , typename Derived >

void Euclid::cgal_to_eigen	(	const CGALVec &	from,
		Eigen::PlainObjectBase< Derived > &	to
	)

Template Parameters

CGALVec	CGAL::Vector_3, CGAL::Point_3 and the like.
Derived	Derived type like Eigen::Matrix or Eigen::Array.

template<typename Derived , typename CGALVec >

void Euclid::eigen_to_cgal	(	const Eigen::DenseBase< Derived > &	from,
		CGALVec &	to
	)

Template Parameters

Derived	Derived type like Eigen::Matrix or Eigen::Array.
CGALVec	CGAL::Vector_3, CGAL_Point_3 and the like.