#include <LineSegment.h>

Inheritance diagram for geos::geom::LineSegment:

Public Types
using	UnorderedSet = std::unordered_set< LineSegment, HashCode >

Public Member Functions
	LineSegment (const Coordinate &c0, const Coordinate &c1)
	Segment end.

	LineSegment (double x0, double y0, double x1, double y1)

void	setCoordinates (const Coordinate &c0, const Coordinate &c1)

void	setCoordinates (const LineSegment &ls)

const Coordinate &	operator[] (std::size_t i) const

Coordinate &	operator[] (std::size_t i)

double	minX () const
	gets the minimum X ordinate value

double	maxX () const
	gets the maximum X ordinate value

double	minY () const
	gets the minimum Y ordinate value

double	maxY () const
	gets the maximum Y ordinate value

double	getLength () const
	Computes the length of the line segment.

bool	isHorizontal () const

bool	isVertical () const

int	orientationIndex (const LineSegment &seg) const

int	orientationIndex (const LineSegment *seg) const

int	orientationIndex (const CoordinateXY &p) const

int	orientationIndex (const Coordinate &p) const
	Determines the orientation index of a Coordinate relative to this segment. More...

void	reverse ()
	Reverses the direction of the line segment.

void	normalize ()
	Puts the line segment into a normalized form. More...

double	angle () const

CoordinateXY	midPoint () const
	Computes the midpoint of the segment. More...

double	distance (const LineSegment &ls) const
	Computes the distance between this line segment and another one.

double	distance (const CoordinateXY &p) const
	Computes the distance between this line segment and a point.

double	distancePerpendicular (const CoordinateXY &p) const

double	distancePerpendicularOriented (const CoordinateXY &p) const

void	pointAlong (double segmentLengthFraction, Coordinate &ret) const
	Computes the Coordinate that lies a given fraction along the line defined by this segment. More...

void	pointAlongOffset (double segmentLengthFraction, double offsetDistance, Coordinate &ret) const
	Computes the Coordinate that lies a given fraction along the line defined by this segment and offset from the segment by a given distance. More...

LineSegment	offset (double offsetDistance)

double	projectionFactor (const CoordinateXY &p) const
	Compute the projection factor for the projection of the point p onto this LineSegment. More...

double	segmentFraction (const CoordinateXY &inputPt) const
	Computes the fraction of distance (in `[0.0, 1.0]`) that the projection of a point occurs along this line segment. More...

void	project (const Coordinate &p, Coordinate &ret) const
	Compute the projection of a point onto the line determined by this line segment. More...

CoordinateXY	project (const CoordinateXY &p) const

bool	project (const LineSegment &seg, LineSegment &ret) const
	Project a line segment onto this line segment and return the resulting line segment. More...

void	closestPoint (const CoordinateXY &p, CoordinateXY &ret) const
	Computes the closest point on this line segment to another point. More...

bool	equalsTopo (const LineSegment &other) const
	Returns `true` if `other` is topologically equal to this LineSegment (e.g. irrespective of orientation). More...

std::array< Coordinate, 2 >	closestPoints (const LineSegment &line)

std::array< Coordinate, 2 >	closestPoints (const LineSegment *line)

Coordinate	intersection (const LineSegment &line) const

Coordinate	lineIntersection (const LineSegment &line) const
	Computes the intersection point of the lines defined by two segments, if there is one. More...

std::unique_ptr< LineString >	toGeometry (const GeometryFactory &gf) const

int	compareTo (const LineSegment &other) const
	Compares this object with the specified object for order. More...

std::ostream &	operator<< (std::ostream &o)

bool	operator== (const LineSegment &rhs) const

bool	operator< (const LineSegment &rhs) const

bool	operator> (const LineSegment &rhs) const

Static Public Member Functions
static CoordinateXY	midPoint (const CoordinateXY &pt0, const CoordinateXY &pt1)

Public Attributes
Coordinate	p0

Coordinate	p1
	Segment start.

Detailed Description

Represents a line segment defined by two Coordinate. Provides methods to compute various geometric properties and relationships of line segments.

This class is designed to be easily mutable (to the extent of having its contained points public). This supports a common pattern of reusing a single LineSegment object as a way of computing segment properties on the segments defined by arrays or lists of Coordinates.

TODO: have this class keep pointers rather then real Coordinates ?

Member Function Documentation

◆ angle()

double geos::geom::LineSegment::angle ( ) const

inline

Returns: the angle this segment makes with the x-axis (in radians)

◆ closestPoint()

void geos::geom::LineSegment::closestPoint	(	const CoordinateXY &	p,
		CoordinateXY &	ret
	)		const

Computes the closest point on this line segment to another point.

Parameters

p	the point to find the closest point to
ret	the Coordinate to which the closest point on the line segment to the point p will be written

◆ closestPoints()

std::array<Coordinate, 2> geos::geom::LineSegment::closestPoints ( const LineSegment & line )

Computes the closest points on two line segments.

Parameters

line	the line segment to find the closest points to

Returns: a pair of Coordinates which are the closest points on the line segments.

◆ compareTo()

int geos::geom::LineSegment::compareTo ( const LineSegment & other ) const

inline

Compares this object with the specified object for order.

Uses the standard lexicographic ordering for the points in the LineSegment.

Parameters

other the LineSegment with which this LineSegment is being compared

Returns: a negative integer, zero, or a positive integer as this LineSegment is less than, equal to, or greater than the specified LineSegment

References p1.

◆ distancePerpendicular()

double geos::geom::LineSegment::distancePerpendicular ( const CoordinateXY & p ) const

inline

Computes the perpendicular distance between the (infinite) line defined by this line segment and a point. If the segment has zero length this returns the distance between the segment and the point.

Parameters

p	the point to compute the distance to

Returns: the perpendicular distance between the line and point

References geos::algorithm::Distance::pointToLinePerpendicular().

◆ distancePerpendicularOriented()

double geos::geom::LineSegment::distancePerpendicularOriented ( const CoordinateXY & p ) const

Computes the oriented perpendicular distance between the (infinite) line defined by this line segment and a point. The oriented distance is positive if the point on the left of the line, and negative if it is on the right. If the segment has zero length this returns the distance between the segment and the point.

Parameters

p	the point to compute the distance to

Returns: the oriented perpendicular distance between the line and point

◆ equalsTopo()

bool geos::geom::LineSegment::equalsTopo ( const LineSegment & other ) const

Returns true if other is topologically equal to this LineSegment (e.g. irrespective of orientation).

Parameters

other a LineSegment with which to do the comparison.

Returns: true if other is a LineSegment with the same values for the x and y ordinates.

◆ intersection()

Coordinate geos::geom::LineSegment::intersection ( const LineSegment & line ) const

Computes an intersection point between two segments, if there is one. There may be 0, 1 or many intersection points between two segments. If there are 0, null is returned. If there is 1 or more, a single one is returned (chosen at the discretion of the algorithm). If more information is required about the details of the intersection, the LineIntersector class should be used.

Parameters

line

Returns: intersection if found, setNull() otherwise

◆ isHorizontal()

bool geos::geom::LineSegment::isHorizontal ( ) const

inline

Tests whether the segment is horizontal.

Returns: true if the segment is horizontal

◆ isVertical()

bool geos::geom::LineSegment::isVertical ( ) const

inline

Tests whether the segment is vertical.

Returns: true if the segment is vertical

◆ lineIntersection()

Coordinate geos::geom::LineSegment::lineIntersection ( const LineSegment & line ) const

Computes the intersection point of the lines defined by two segments, if there is one.

There may be 0, 1 or an infinite number of intersection points between two lines. If there is a unique intersection point, it is returned. Otherwise, null is returned. If more information is required about the details of the intersection, the algorithms::LineIntersector class should be used.

Parameters

line	a line segment defining a straight line

Returns: intersection if found, setNull() otherwise

◆ midPoint()

CoordinateXY geos::geom::LineSegment::midPoint ( ) const

inline

Computes the midpoint of the segment.

Returns: the midpoint of the segment

◆ normalize()

void geos::geom::LineSegment::normalize ( void )

inline

Puts the line segment into a normalized form.

This is useful for using line segments in maps and indexes when topological equality rather than exact equality is desired.

◆ offset()

LineSegment geos::geom::LineSegment::offset ( double offsetDistance )

Computes the LineSegment that is offset from the segment by a given distance. The computed segment is offset to the left of the line if the offset distance is positive, to the right if negative.

Parameters

offsetDistance the distance the point is offset from the segment (positive is to the left, negative is to the right)

Returns: a line segment offset by the specified distance

Exceptions

IllegalStateException if the segment has zero length

◆ orientationIndex() [1/3]

int geos::geom::LineSegment::orientationIndex ( const Coordinate & p ) const

inline

Determines the orientation index of a Coordinate relative to this segment.

The orientation index is as defined in Orientation::index.

Parameters

p	the Coordinate to compare

Returns: 1 if p is to the left of this segment; -1 if p is to the right of this segment; 0 if p is collinear with this segment

See also: Orientation::index(Coordinate, Coordinate, Coordinate)

References geos::algorithm::Orientation::index().

◆ orientationIndex() [2/3]

int geos::geom::LineSegment::orientationIndex ( const CoordinateXY & p ) const

inline

Determines the orientation index of a Coordinate relative to this segment. The orientation index is as defined in Orientation::index(Coordinate, Coordinate, Coordinate).

Parameters

p	the coordinate to compare

Returns: 1 (LEFT) if "p" is to the left of this segment; -1 (RIGHT) if "p" is to the right of this segment; 0 (COLLINEAR) if "p" is collinear with this segment

References geos::algorithm::Orientation::index().

◆ orientationIndex() [3/3]

int geos::geom::LineSegment::orientationIndex ( const LineSegment & seg ) const

Determines the orientation of a LineSegment relative to this segment. The concept of orientation is specified as follows: Given two line segments A and L,

A is to the left of a segment L if A lies wholly in the closed half-plane lying to the left of L
A is to the right of a segment L if A lies wholly in the closed half-plane lying to the right of L
otherwise, A has indeterminate orientation relative to L. This happens if A is collinear with L or if A crosses the line determined by L.

Parameters

seg	the LineSegment to compare

Returns: 1 if seg is to the left of this segment; -1 if seg is to the right of this segment; 0 if seg has indeterminate orientation relative to this segment

◆ pointAlong()

void geos::geom::LineSegment::pointAlong	(	double	segmentLengthFraction,
		Coordinate &	ret
	)		const

inline

Computes the Coordinate that lies a given fraction along the line defined by this segment.

A fraction of 0.0 returns the start point of the segment; a fraction of 1.0 returns the end point of the segment. If the fraction is < 0.0 or > 1.0 the point returned will lie before the start or beyond the end of the segment.

Parameters

segmentLengthFraction	the fraction of the segment length along the line
ret	will be set to the point at that distance

References geos::geom::Coordinate::z.

◆ pointAlongOffset()

void geos::geom::LineSegment::pointAlongOffset	(	double	segmentLengthFraction,
		double	offsetDistance,
		Coordinate &	ret
	)		const

Computes the Coordinate that lies a given fraction along the line defined by this segment and offset from the segment by a given distance.

A fraction of 0.0 offsets from the start point of the segment; a fraction of 1.0 offsets from the end point of the segment.

The computed point is offset to the left of the line if the offset distance is positive, to the right if negative.

Parameters

segmentLengthFraction	the fraction of the segment length along the line
offsetDistance	the distance the point is offset from the segment (positive is to the left, negative is to the right)
ret	will be set to the point at that distance and offset

Exceptions

IllegalStateException if the segment has zero length

◆ project() [1/2]

void geos::geom::LineSegment::project	(	const Coordinate &	p,
		Coordinate &	ret
	)		const

Compute the projection of a point onto the line determined by this line segment.

Note that the projected point may lie outside the line segment. If this is the case, the projection factor will lie outside the range [0.0, 1.0].

◆ project() [2/2]

bool geos::geom::LineSegment::project	(	const LineSegment &	seg,
		LineSegment &	ret
	)		const

Project a line segment onto this line segment and return the resulting line segment.

The returned line segment will be a subset of the target line line segment. This subset may be null, if the segments are oriented in such a way that there is no projection.

Note that the returned line may have zero length (i.e. the same endpoints). This can happen for instance if the lines are perpendicular to one another.

Parameters

seg	the line segment to project
ret	the projected line segment

Returns: true if there is an overlap, false otherwise

◆ projectionFactor()

double geos::geom::LineSegment::projectionFactor ( const CoordinateXY & p ) const

Compute the projection factor for the projection of the point p onto this LineSegment.

The projection factor is the constant r by which the vector for this segment must be multiplied to equal the vector for the projection of p on the line defined by this segment.

The projection factor returned will be in the range (-inf, +inf)

Parameters

p	the point to compute the factor for

Returns: the projection factor for the point

◆ segmentFraction()

double geos::geom::LineSegment::segmentFraction ( const CoordinateXY & inputPt ) const

Computes the fraction of distance (in [0.0, 1.0]) that the projection of a point occurs along this line segment.

If the point is beyond either ends of the line segment, the closest fractional value (0.0 or 1.0) is returned.

Essentially, this is the projectionFactor clamped to the range [0.0, 1.0].

Parameters

inputPt the point

Returns: the fraction along the line segment the projection of the point occurs

◆ toGeometry()

std::unique_ptr<LineString> geos::geom::LineSegment::toGeometry ( const GeometryFactory & gf ) const

Creates a LineString with the same coordinates as this segment

Parameters

gf	the geometery factory to use

Returns: a LineString with the same geometry as this segment

The documentation for this class was generated from the following file:

LineSegment.h

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description

Member Function Documentation

◆ angle()

◆ closestPoint()

◆ closestPoints()

◆ compareTo()

◆ distancePerpendicular()

◆ distancePerpendicularOriented()

◆ equalsTopo()

◆ intersection()

◆ isHorizontal()

◆ isVertical()

◆ lineIntersection()

◆ midPoint()

◆ normalize()

◆ offset()

◆ orientationIndex() [1/3]

◆ orientationIndex() [2/3]

◆ orientationIndex() [3/3]

◆ pointAlong()

◆ pointAlongOffset()

◆ project() [1/2]

◆ project() [2/2]

◆ projectionFactor()

◆ segmentFraction()

◆ toGeometry()