ProGAL.geom2d
Class Point

java.lang.Object
  ProGAL.geomNd.Point
      ProGAL.geom2d.Point

All Implemented Interfaces:

java.io.Serializable

Direct Known Subclasses:

TriangulationVertex, Vertex

public class Point
extends Point

A point in (x,y)-space represented using double precision.

Author:

R.Fonseca

See Also:

Serialized Form

Field Summary

static Point

origo

Constructor Summary

Point()
Construct a point at (0,0)

Point(double[] coords)
Construct a point with the specified coordinates.

Point(double x, double y)
Construct a point with the specified coordinates.

Method Summary

Point	add(double a, double b)
Point	add(Vector v) Add the vector v to this point and return the result
Point	addThis(double a, double b)
Point	addThis(Point p)
Point	addThis(Vector v) Add the vector v to this point and return the result (changes this object)
static double	area(Point a, Point b, Point c) Returns the signed area of the triangle defined by the three points a, b and c (positive if counterclockwise)
Point	clone()
static boolean	collinear(Point a, Point b, Point c)
boolean	equals(java.lang.Object o) Return true iff o is a Point that has the same same coordinates as this.
boolean	equals(Point p) Return true iff p has the same same coordinates as this.
static Line	getBisector(Point p, Point q) Creates a bisector between points p and q
double	getDistance(LineSegment s) returns distance of this point to segment s
static double	getSignedAngle(Point p1, Point p2, Point p3) Returns the angle between the points, but if they make a left turn the angle will be negative.
double	getSquaredDistance() returns squared distance of this point to the origo.
double	getSquaredDistance(LineSegment s) returns squared distance of this point to segment s
double	getSquaredDistance(Point q) returns squared distance of this point to point q.
static double	inCircle(Point p, Point q, Point r, Point s) Returns a positive double if the point is inside the circle through the 3 specified points (must be in clockwise order).
static boolean	leftTurn(Point a, Point b, Point c) Returns true if points a, b and c make a left turn at b
static void	main(java.lang.String[] args)
static Point	midPoint(Point p, Point q) Returns the midpoint of two points.
double	polarAngle() Returns polar angle of this point
double	polarAngleCos() Returns the cosinus of the polar angle of this point
double	polarAngleSin() Returns the sinus of the polar angle of this point
static boolean	rightTurn(Point a, Point b, Point c) Returns true if points a, b and c make a right turn at b or are colinear
void	rotation(double alpha) rotates the point around the origo (counterclockwise)
void	rotation(double cos, double sin)
void	rotation(Point p, double angle) rotates point p around this point by angle
Point	rotationClone(double alpha)
Point	subtract(Vector v) Subtract the vector v from this point and return the result
Point	subtractThis(Point p)
Point	subtractThis(Vector v) Subtract the vector v from this point and return the result (changes this object)
void	toScene(J2DScene scene, double rad, java.awt.Color col)
Vector	vectorTo(Point p) Return a vector pointing from this point to p
double	x() Return the x-coordinate
double	y() Return the y-coordinate

Methods inherited from class ProGAL.geomNd.Point

addThis, distance, distance, distanceSquared, distanceSquared, distanceSquaredXY, distanceXY, dot, get, getAngle, getCoord, getCoords, getDimensions, getMidpoint, multiplyThis, polarAngleCosXY, polarAngleSinXY, polarAngleXY, set, set, setCoord, setCoord, toConsole, toConsole, toString, toString, toVector, vectorTo

Methods inherited from class java.lang.Object

getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

origo

public static Point origo

Constructor Detail

Point

public Point()

Construct a point at (0,0)

Point

public Point(double x,
             double y)

Construct a point with the specified coordinates.

Point

public Point(double[] coords)

Construct a point with the specified coordinates.

Method Detail

x

public double x()

Return the x-coordinate

y

public double y()

Return the y-coordinate

clone

public Point clone()

Overrides:

clone in class Point

vectorTo

public Vector vectorTo(Point p)

Return a vector pointing from this point to p

add

public Point add(Vector v)

Add the vector v to this point and return the result

add

public Point add(double a,
                 double b)

addThis

public Point addThis(Vector v)

Add the vector v to this point and return the result (changes this object)

addThis

public Point addThis(Point p)

addThis

public Point addThis(double a,
                     double b)

subtract

public Point subtract(Vector v)

Subtract the vector v from this point and return the result

subtractThis

public Point subtractThis(Vector v)

Subtract the vector v from this point and return the result (changes this object)

subtractThis

public Point subtractThis(Point p)

area

public static double area(Point a,
                          Point b,
                          Point c)

Returns the signed area of the triangle defined by the three points a, b and c (positive if counterclockwise)

collinear

public static boolean collinear(Point a,
                                Point b,
                                Point c)

getSquaredDistance

public double getSquaredDistance()

returns squared distance of this point to the origo.

getSquaredDistance

public double getSquaredDistance(Point q)

returns squared distance of this point to point q.

getSquaredDistance

public double getSquaredDistance(LineSegment s)

returns squared distance of this point to segment s

getDistance

public double getDistance(LineSegment s)

returns distance of this point to segment s

getSignedAngle

public static double getSignedAngle(Point p1,
                                    Point p2,
                                    Point p3)

Returns the angle between the points, but if they make a left turn the angle will be negative.

inCircle

public static double inCircle(Point p,
                              Point q,
                              Point r,
                              Point s)

Returns a positive double if the point is inside the circle through the 3 specified points (must be in clockwise order).

polarAngle

public double polarAngle()

Returns polar angle of this point

polarAngleSin

public double polarAngleSin()

Returns the sinus of the polar angle of this point

polarAngleCos

public double polarAngleCos()

Returns the cosinus of the polar angle of this point

leftTurn

public static boolean leftTurn(Point a,
                               Point b,
                               Point c)

Returns true if points a, b and c make a left turn at b

rightTurn

public static boolean rightTurn(Point a,
                                Point b,
                                Point c)

Returns true if points a, b and c make a right turn at b or are colinear

midPoint

public static Point midPoint(Point p,
                             Point q)

Returns the midpoint of two points.

getBisector

public static Line getBisector(Point p,
                               Point q)

Creates a bisector between points p and q

equals

public boolean equals(java.lang.Object o)

Return true iff o is a Point that has the same same coordinates as this.

Overrides:

equals in class java.lang.Object

equals

public boolean equals(Point p)

Return true iff p has the same same coordinates as this.

rotation

public void rotation(double alpha)

rotates the point around the origo (counterclockwise)

rotationClone

public Point rotationClone(double alpha)

rotation

public void rotation(double cos,
                     double sin)

rotation

public void rotation(Point p,
                     double angle)

rotates point p around this point by angle

toScene

public void toScene(J2DScene scene,
                    double rad,
                    java.awt.Color col)

main

public static void main(java.lang.String[] args)