USING THESE METHODS

Point	add(Point otherPoint) Returns the result of adding two points
double	distance(Point otherPoint) Returns the distance between two points
boolean	equals(Point otherPoint) Returns the result of checking the equality of two point -- two points are equal if their x and y coordinates are equal
Point	originReflection() Returns the point obtained by a reflection of this point through the origin
int	quadrant() Returns the quadrant (1, 2, 3, 4, or 0) that this point resides in
static Point	read(java.util.Scanner scanner) Returns a newly created Point object initialized with x,y values read from the scanner
java.lang.String	toString() Returns a string representation of the point in the form (x, y)
Point	xReflection() Returns the point obtained by a reflection of this point across the x-axis
Point	yReflection() Returns the point obtained by a reflection of this point across the y-axis

Code an application class (i.e., a class containing a main method), named PointApp that reads point data from the file points.text. This data is then used to create pairs of Point objects which are then used to flex (i.e, illustrate) the methods of the class. USING THESE METHODS

The format of the points.txt file is:

x1 y1 x2 y2  

i.e., pairs of x/y coordinates, resulting in data for 2 Point objects per line.

The name of your class should be PointApp.

For example, if the file points.text contains:

0 0 1 1 1 1 1 -1 1 1 -1 1 1 1 -1 -1 0 0 0 0 1 1 1 1 1 1 -2 -2 

the program should produce exactly the following output:

p1: (0, 0) (quadrant 0) / p2: (1, 1) (quadrant 1) p1+p2: (1, 1) (quadrant 1) The distance between (0, 0) and (1, 1) is 1.4142135623730951 p1: (1, 1) (quadrant 1) / p2: (1, -1) (quadrant 4) p1+p2: (2, 0) (quadrant 4) p1 and p2 are reflections across the x-axis p1 and p2 are equidistant from the origin The distance between (1, 1) and (1, -1) is 2.0 p1: (1, 1) (quadrant 1) / p2: (-1, 1) (quadrant 2) p1+p2: (0, 2) (quadrant 0) p1 and p2 are reflections across the y-axis p1 and p2 are equidistant from the origin The distance between (1, 1) and (-1, 1) is 2.0 p1: (1, 1) (quadrant 1) / p2: (-1, -1) (quadrant 3) p1+p2: (0, 0) (quadrant 0) p1 and p2 are reflections through the origin p1 and p2 are equidistant from the origin The distance between (1, 1) and (-1, -1) is 2.8284271247461903 p1: (0, 0) (quadrant 0) / p2: (0, 0) (quadrant 0) p1+p2: (0, 0) (quadrant 0) p1 and p2 are reflections across the x-axis p1 and p2 are reflections across the y-axis p1 and p2 are reflections through the origin p1 and p2 are equidistant from the origin The distance between (0, 0) and (0, 0) is 0.0 p1: (1, 1) (quadrant 1) / p2: (1, 1) (quadrant 1) p1+p2: (2, 2) (quadrant 1) p1 and p2 are equidistant from the origin The distance between (1, 1) and (1, 1) is 0.0 p1: (1, 1) (quadrant 1) / p2: (-2, -2) (quadrant 3) p1+p2: (-1, -1) (quadrant 3) The distance between (1, 1) and (-2, -2) is 4.242640687119285

USE CLASS METHODS AS PRESENTED ABOVE and below

add

public Point add(Point otherPoint)

Returns the result of adding two points

Parameters:

otherPoint - the point to be added to the receiver

Returns:

a Point object containing the sum of the two points

distance

public double distance(Point otherPoint)

Returns the distance between two points

Parameters:

otherPoint - the point whose distance from the receiver is to be calculated

Returns:

a double representing the distance between the two points

xReflection

public Point xReflection()

Returns the point obtained by a reflection of this point across the x-axis

Returns:

a Point object containing the reflection across the x-axis of this point

yReflection

public Point yReflection()

Returns the point obtained by a reflection of this point across the y-axis

Returns:

a Point object containing the reflection across the y-axis of this point

originReflection

public Point originReflection()

Returns the point obtained by a reflection of this point through the origin

Returns:

a Point object containing the reflection of this point through the origin

quadrant

public int quadrant()

Returns the quadrant (1, 2, 3, 4, or 0) that this point resides in

Returns:

the quadrant this point resides in (1, 2, 3, or 4). If the point is the origin, 0 is returned.

equals

public boolean equals(Point otherPoint)

Returns the result of checking the equality of two point -- two points are equal if their x and y coordinates are equal

Parameters:

otherPoint - the point to be checked for equality with the receiver

Returns:

true if the points are equal; false otherwise

toString

public java.lang.String toString()

Returns a string representation of the point in the form (x, y)

Overrides:

toString in class java.lang.Object

Returns:

the string representation

read

public static Point read(java.util.Scanner scanner)

Returns a newly created Point object initialized with x,y values read from the scanner

Parameters:

scanner - The Scanner used to read the point's initial values

Returns:

The newly created Point object