simplex_distance.h File Reference

Functions for determining the distance to a simplex. More...

#include "Simplex.h"
#include "../../kernel/Line_2.h"
#include "../../kernel/Plane.h"
#include "simplex_distance.ipp"

Go to the source code of this file.

Functions
template<typename T >
void	project (const Simplex< 1, ads::FixedArray< 2, T >, T > &s2, const ads::FixedArray< 2, T > &x2, Simplex< 1, ads::FixedArray< 1, T >, T > *s1, ads::FixedArray< 1, T > *x1)
	Project the simplex and the point in 2-D to 1-D.
template<typename T >
void	project (const Simplex< 1, ads::FixedArray< 2, T >, T > &s2, const ads::FixedArray< 2, T > &x2, Simplex< 1, ads::FixedArray< 1, T >, T > *s1, ads::FixedArray< 1, T > *x1, ads::FixedArray< 1, T > *y1)
	Project the simplex and the point in 2-D to 1-D.
template<typename T >
void	project (const Simplex< 2, ads::FixedArray< 3, T >, T > &s3, const ads::FixedArray< 3, T > &x3, Simplex< 2, ads::FixedArray< 2, T >, T > *s2, ads::FixedArray< 2, T > *x2)
	Project the simplex and the point in 3-D to 2-D.
template<typename T >
void	project (const Simplex< 2, ads::FixedArray< 3, T >, T > &s3, const ads::FixedArray< 3, T > &x3, Simplex< 2, ads::FixedArray< 2, T >, T > *s2, ads::FixedArray< 2, T > *x2, ads::FixedArray< 1, T > *z1)
	Project the simplex and the point in 3-D to 2-D.

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Detailed Description

Functions for determining the distance to a simplex.

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Function Documentation

template<typename T >

void project	(	const Simplex< 2, ads::FixedArray< 3, T >, T > &	s3,
		const ads::FixedArray< 3, T > &	x3,
		Simplex< 2, ads::FixedArray< 2, T >, T > *	s2,
		ads::FixedArray< 2, T > *	x2,
		ads::FixedArray< 1, T > *	z1
	)			[inline]

Project the simplex and the point in 3-D to 2-D.

The first point in the 3-D simplex will be mapped to the origin; the second point will be mapped to the positive x axis. The triangle will have the positive orientation in the 2-D plane. The 3-D point will be mapped to the xy-plane.

Parameters:

	s3	is the 2-simplex in 3-D.
	x3	is the 3-D point.
	s2	is the mapped simplex, a 2-simplex in 2-D.
	x2	is the mapped point, a 2-D point.
	z1	is the normal offset of x3 from s3.

template<typename T >

void project	(	const Simplex< 2, ads::FixedArray< 3, T >, T > &	s3,
		const ads::FixedArray< 3, T > &	x3,
		Simplex< 2, ads::FixedArray< 2, T >, T > *	s2,
		ads::FixedArray< 2, T > *	x2
	)			[inline]

Project the simplex and the point in 3-D to 2-D.

The first point in the 3-D simplex will be mapped to the origin; the second point will be mapped to the positive x axis. The triangle will have the positive orientation in the 2-D plane. The 3-D point will be mapped to the xy-plane.

Parameters:

	s3	is the 2-simplex in 3-D.
	x3	is the 3-D point.
	s2	is the mapped simplex, a 2-simplex in 2-D.
	x2	is the mapped point, a 2-D point.

template<typename T >

void project	(	const Simplex< 1, ads::FixedArray< 2, T >, T > &	s2,
		const ads::FixedArray< 2, T > &	x2,
		Simplex< 1, ads::FixedArray< 1, T >, T > *	s1,
		ads::FixedArray< 1, T > *	x1,
		ads::FixedArray< 1, T > *	y1
	)			[inline]

Project the simplex and the point in 2-D to 1-D.

The first point in the 2-D simplex will be mapped to the origin; the second point will be mapped to the positive x axis. The 2-D point will be mapped to the x-axis.

Parameters:

	s2	is the 1-simplex in 2-D.
	x2	is the 2-D point.
	s1	is the mapped simplex, a 1-simplex in 1-D.
	x1	is the mapped point, a 1-D point.
	y1	is the normal offset of x2 from s2.

template<typename T >

void project	(	const Simplex< 1, ads::FixedArray< 2, T >, T > &	s2,
		const ads::FixedArray< 2, T > &	x2,
		Simplex< 1, ads::FixedArray< 1, T >, T > *	s1,
		ads::FixedArray< 1, T > *	x1
	)			[inline]

Project the simplex and the point in 2-D to 1-D.

The first point in the 2-D simplex will be mapped to the origin; the second point will be mapped to the positive x axis. The 2-D point will be mapped to the x-axis.

Parameters:

	s2	is the 1-simplex in 2-D.
	x2	is the 2-D point.
	s1	is the mapped simplex, a 1-simplex in 1-D.
	x1	is the mapped point, a 1-D point.