JavaFX 8
javafx.geometry

## Class Point2D

• ```public class Point2D
extends Object```
A 2D geometric point that usually represents the x, y coordinates. It can also represent a relative magnitude vector's x, y magnitudes.
Since:
JavaFX 2.0
• ### Field Summary

Fields
Modifier and Type Field and Description
`static Point2D` `ZERO`
Point or vector with both coordinates set to 0.
• ### Constructor Summary

Constructors
Constructor and Description
```Point2D(double x, double y)```
Creates a new instance of `Point2D`.
• ### Method Summary

All Methods
Modifier and Type Method and Description
`Point2D` ```add(double x, double y)```
Returns a point with the specified coordinates added to the coordinates of this point.
`Point2D` `add(Point2D point)`
Returns a point with the coordinates of the specified point added to the coordinates of this point.
`double` ```angle(double x, double y)```
Computes the angle (in degrees) between the vector represented by this point and the specified vector.
`double` `angle(Point2D point)`
Computes the angle (in degrees) between the vector represented by this point and the vector represented by the specified point.
`double` ```angle(Point2D p1, Point2D p2)```
Computes the angle (in degrees) between the three points with this point as a vertex.
`Point3D` ```crossProduct(double x, double y)```
Computes cross product of the vector represented by this instance and the specified vector.
`Point3D` `crossProduct(Point2D vector)`
Computes cross product of the vector represented by this instance and the specified vector.
`double` ```distance(double x1, double y1)```
Computes the distance between this point and point `(x1, y1)`.
`double` `distance(Point2D point)`
Computes the distance between this point and the specified `point`.
`double` ```dotProduct(double x, double y)```
Computes dot (scalar) product of the vector represented by this instance and the specified vector.
`double` `dotProduct(Point2D vector)`
Computes dot (scalar) product of the vector represented by this instance and the specified vector.
`boolean` `equals(Object obj)`
Indicates whether some other object is "equal to" this one.
`double` `getX()`
The x coordinate.
`double` `getY()`
The y coordinate.
`int` `hashCode()`
Returns a hash code value for the point.
`double` `magnitude()`
Computes magnitude (length) of the relative magnitude vector represented by this instance.
`Point2D` ```midpoint(double x, double y)```
Returns a point which lies in the middle between this point and the specified coordinates.
`Point2D` `midpoint(Point2D point)`
Returns a point which lies in the middle between this point and the specified point.
`Point2D` `multiply(double factor)`
Returns a point with the coordinates of this point multiplied by the specified factor
`Point2D` `normalize()`
Normalizes the relative magnitude vector represented by this instance.
`Point2D` ```subtract(double x, double y)```
Returns a point with the specified coordinates subtracted from the coordinates of this point.
`Point2D` `subtract(Point2D point)`
Returns a point with the coordinates of the specified point subtracted from the coordinates of this point.
`String` `toString()`
Returns a string representation of this `Point2D`.
• ### Methods inherited from class java.lang.Object

`clone, finalize, getClass, notify, notifyAll, wait, wait, wait`
• ### Field Detail

• #### ZERO

`public static final Point2D ZERO`
Point or vector with both coordinates set to 0.
• ### Constructor Detail

• #### Point2D

```public Point2D(double x,
double y)```
Creates a new instance of `Point2D`.
Parameters:
`x` - the x coordinate of the point
`y` - the y coordinate of the point
• ### Method Detail

• #### getX

`public final double getX()`
The x coordinate.
Returns:
the x coordinate
• #### getY

`public final double getY()`
The y coordinate.
Returns:
the y coordinate
• #### distance

```public double distance(double x1,
double y1)```
Computes the distance between this point and point `(x1, y1)`.
Parameters:
`x1` - the x coordinate of other point
`y1` - the y coordinate of other point
Returns:
the distance between this point and point `(x1, y1)`.
• #### distance

`public double distance(Point2D point)`
Computes the distance between this point and the specified `point`.
Parameters:
`point` - the other point
Returns:
the distance between this point and the specified `point`.
Throws:
`NullPointerException` - if the specified `point` is null

```public Point2D add(double x,
double y)```
Returns a point with the specified coordinates added to the coordinates of this point.
Parameters:
`x` - the X coordinate addition
`y` - the Y coordinate addition
Returns:
Since:
JavaFX 8.0

`public Point2D add(Point2D point)`
Returns a point with the coordinates of the specified point added to the coordinates of this point.
Parameters:
`point` - the point whose coordinates are to be added
Returns:
Throws:
`NullPointerException` - if the specified `point` is null
Since:
JavaFX 8.0
• #### subtract

```public Point2D subtract(double x,
double y)```
Returns a point with the specified coordinates subtracted from the coordinates of this point.
Parameters:
`x` - the X coordinate subtraction
`y` - the Y coordinate subtraction
Returns:
the point with subtracted coordinates
Since:
JavaFX 8.0
• #### multiply

`public Point2D multiply(double factor)`
Returns a point with the coordinates of this point multiplied by the specified factor
Parameters:
`factor` - the factor multiplying the coordinates
Returns:
the point with multiplied coordinates
Since:
JavaFX 8.0
• #### subtract

`public Point2D subtract(Point2D point)`
Returns a point with the coordinates of the specified point subtracted from the coordinates of this point.
Parameters:
`point` - the point whose coordinates are to be subtracted
Returns:
the point with subtracted coordinates
Throws:
`NullPointerException` - if the specified `point` is null
Since:
JavaFX 8.0
• #### normalize

`public Point2D normalize()`
Normalizes the relative magnitude vector represented by this instance. Returns a vector with the same direction and magnitude equal to 1. If this is a zero vector, a zero vector is returned.
Returns:
the normalized vector represented by a `Point2D` instance
Since:
JavaFX 8.0
• #### midpoint

```public Point2D midpoint(double x,
double y)```
Returns a point which lies in the middle between this point and the specified coordinates.
Parameters:
`x` - the X coordinate of the second endpoint
`y` - the Y coordinate of the second endpoint
Returns:
the point in the middle
Since:
JavaFX 8.0
• #### midpoint

`public Point2D midpoint(Point2D point)`
Returns a point which lies in the middle between this point and the specified point.
Parameters:
`point` - the other endpoint
Returns:
the point in the middle
Throws:
`NullPointerException` - if the specified `point` is null
Since:
JavaFX 8.0
• #### angle

```public double angle(double x,
double y)```
Computes the angle (in degrees) between the vector represented by this point and the specified vector.
Parameters:
`x` - the X magnitude of the other vector
`y` - the Y magnitude of the other vector
Returns:
the angle between the two vectors measured in degrees
Since:
JavaFX 8.0
• #### angle

`public double angle(Point2D point)`
Computes the angle (in degrees) between the vector represented by this point and the vector represented by the specified point.
Parameters:
`point` - the other vector
Returns:
the angle between the two vectors measured in degrees, `NaN` if any of the two vectors is a zero vector
Throws:
`NullPointerException` - if the specified `point` is null
Since:
JavaFX 8.0
• #### angle

```public double angle(Point2D p1,
Point2D p2)```
Computes the angle (in degrees) between the three points with this point as a vertex.
Parameters:
`p1` - one point
`p2` - other point
Returns:
angle between the vectors (this, p1) and (this, p2) measured in degrees, `NaN` if the three points are not different from one another
Throws:
`NullPointerException` - if `p1` or `p2` is null
Since:
JavaFX 8.0
• #### magnitude

`public double magnitude()`
Computes magnitude (length) of the relative magnitude vector represented by this instance.
Returns:
magnitude of the vector
Since:
JavaFX 8.0
• #### dotProduct

```public double dotProduct(double x,
double y)```
Computes dot (scalar) product of the vector represented by this instance and the specified vector.
Parameters:
`x` - the X magnitude of the other vector
`y` - the Y magnitude of the other vector
Returns:
the dot product of the two vectors
Since:
JavaFX 8.0
• #### dotProduct

`public double dotProduct(Point2D vector)`
Computes dot (scalar) product of the vector represented by this instance and the specified vector.
Parameters:
`vector` - the other vector
Returns:
the dot product of the two vectors
Throws:
`NullPointerException` - if the specified `vector` is null
Since:
JavaFX 8.0
• #### crossProduct

```public Point3D crossProduct(double x,
double y)```
Computes cross product of the vector represented by this instance and the specified vector.
Parameters:
`x` - the X magnitude of the other vector
`y` - the Y magnitude of the other vector
Returns:
the cross product of the two vectors
Since:
JavaFX 8.0
• #### crossProduct

`public Point3D crossProduct(Point2D vector)`
Computes cross product of the vector represented by this instance and the specified vector.
Parameters:
`vector` - the other vector
Returns:
the cross product of the two vectors
Throws:
`NullPointerException` - if the specified `vector` is null
Since:
JavaFX 8.0
• #### equals

`public boolean equals(Object obj)`
Indicates whether some other object is "equal to" this one.
Overrides:
`equals` in class `Object`
Parameters:
`obj` - the reference object with which to compare
Returns:
true if this point is the same as the obj argument; false otherwise
• #### hashCode

`public int hashCode()`
Returns a hash code value for the point.
Overrides:
`hashCode` in class `Object`
Returns:
a hash code value for the point.
• #### toString

`public String toString()`
Returns a string representation of this `Point2D`. This method is intended to be used only for informational purposes. The content and format of the returned string might vary between implementations. The returned string might be empty but cannot be `null`.
Overrides:
`toString` in class `Object`