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.

See Also:

Serialized Form

Field Summary

Fields
Modifier and Type Field and Description

static Point origo
- Fields inherited from class ProGAL.geomNd.Point
  coords, dim

Fields
Modifier and Type	Field and Description
`static Point`	`origo`

Constructor Summary

Constructors
Constructor and Description
`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.
`Point(Point p)` Construct a point with the same two first coordinates as p.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`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 line between points p and q
`double`	`getDistance(LineSegment s)` returns distance of this point to segment s
`Line`	`getDualLine()` Returns the line y = ax + b() where the coordinates of this point are (a,b)
`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 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)
`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
add, addThis, distance, distance, distanceSquared, distanceSquared, distanceSquaredXY, distanceXY, dot, fill, get, getAngle, getCoord, getCoords, getDimensions, getMidpoint, getRandomPoint, multiplyThis, polarAngleCosXY, polarAngleSinXY, polarAngleXY, set, set, setCoord, setCoord, toConsole, toConsole, toString, toString, toVector, vectorTo

Methods inherited from class java.lang.Object
finalize, 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.
- Point
```
public Point(Point p)
```
  Construct a point with the same two first coordinates as p.

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 line between points p and q

getDualLine
```
public Line getDualLine()
```
Returns the line y = ax + b() where the coordinates of this point are (a,b)

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

Class Point

Field Summary

Fields inherited from class ProGAL.geomNd.Point

Constructor Summary

Method Summary

Methods inherited from class ProGAL.geomNd.Point

Methods inherited from class java.lang.Object

Field Detail

origo

Constructor Detail

Point

Point

Point

Point

Method Detail

x

y

clone

vectorTo

add

add

addThis

addThis

addThis

subtract

subtractThis

subtractThis

area

collinear

getSquaredDistance

getSquaredDistance

getSquaredDistance

getDistance

getSignedAngle

inCircle

polarAngle

polarAngleSin

polarAngleCos

leftTurn

rightTurn

midPoint

getBisector

getDualLine

equals

equals

rotation

rotationClone

rotation

rotation