codac2_Segment.h File Reference

#include <vector>
#include <utility>
#include "codac2_Vector.h"
#include "codac2_BoolInterval.h"
#include "codac2_IntervalVector.h"

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Classes
class	codac2::Segment
	Represents a geometric segment defined by two points enclosed in IntervalVectors. More...

Functions
IntervalVector	codac2::operator& (const Segment &e1, const Segment &e2)
	Computes the intersection of two segments.
IntervalVector	codac2::proj_intersection (const Segment &e1, const Segment &e2)
	Computes the projected intersection of two segments.
BoolInterval	codac2::colinear (const Segment &e1, const Segment &e2)
	Checks if two segments are colinear.
std::ostream &	codac2::operator<< (std::ostream &str, const Segment &e)
	Stream output operator for Segment.

Detailed Description

Date

2025

Author

Simon Rohou

Copyright

Copyright 2025 Codac Team

License: GNU Lesser General Public License (LGPL)

Function Documentation

operator&()

IntervalVector codac2::operator&	(	const Segment &	e1,
		const Segment &	e2 )

Computes the intersection of two segments.

If the segments do not intersect, an empty IntervalVector is returned. If the segments are colinear, the set of intersection points is returned as a box.

Parameters

e1	The first segment.
e2	The second segment.

Returns

An IntervalVector enclosing the intersection point.

proj_intersection()

IntervalVector codac2::proj_intersection	(	const Segment &	e1,
		const Segment &	e2 )

Computes the projected intersection of two segments.

This corresponds to the intersection of the two lines related to the two segments. Therefore, the intersection point may not belong to the segments.

If the segments are parallel but not colinear, an empty IntervalVector is returned. If the segments are colinear, the set of intersection points is returned as a box.

Parameters

e1	The first segment.
e2	The second segment.

Returns

An IntervalVector enclosing the intersection point.

colinear()

BoolInterval codac2::colinear	(	const Segment &	e1,
		const Segment &	e2 )

Checks if two segments are colinear.

Parameters

e1	The first segment.
e2	The second segment.

Returns

A BoolInterval indicating possible colinearity.

operator<<()

std::ostream & codac2::operator<<	(	std::ostream &	str,
		const Segment &	e )

Stream output operator for Segment.

Parameters

str	Output stream.
e	The segment to print.

Returns

The output stream with the segment information.