Point
The Point object represents a point in the two dimensional space of the Paper.js project. It is also used to represent two dimensional vector objects.
Example — Create a point at x: 10, y: 5
var point = new Point(10, 5); console.log(point.x); // 10 console.log(point.y); // 5
Constructors
Creates a Point object with the given x and y coordinates.
- Parameters:
- x: Number — the x coordinate
- y: Number — the y coordinate
Example — Create a point at x: 10, y: 5
var point = new Point(10, 5); console.log(point.x); // 10 console.log(point.y); // 5
Creates a Point object using the numbers in the given array as coordinates.
- Parameters:
- array: array
Example — Creating a point at x: 10, y: 5 using an array of numbers:
var array = [10, 5]; var point = new Point(array); console.log(point.x); // 10 console.log(point.y); // 5
Example — Passing an array to a functionality that expects a point:
// Create a circle shaped path at x: 50, y: 50 // with a radius of 30: var path = new Path.Circle([50, 50], 30); path.fillColor = 'red'; // Which is the same as doing: var path = new Path.Circle(new Point(50, 50), 30); path.fillColor = 'red';
Creates a Point object using the properties in the given object.
- Parameters:
- object: object
Example — Creating a point using an object literal with length and angle properties:
var point = new Point({
length: 10,
angle: 90
});
console.log(point.length); // 10
console.log(point.angle); // 90
Example — Creating a point at x: 10, y: 20 using an object literal:
var point = new Point({
x: 10,
y: 20
});
console.log(point.x); // 10
console.log(point.y); // 20
Example — Passing an object to a functionality that expects a point:
var center = {
x: 50,
y: 50
};
// Creates a circle shaped path at x: 50, y: 50
// with a radius of 30:
var path = new Path.Circle(center, 30);
path.fillColor = 'red';
Creates a Point object using the width and height values of the given Size object.
- Parameters:
- size: Size
Example — Creating a point using a size object.
// Create a Size with a width of 100pt and a height of 50pt
var size = new Size(100, 50);
console.log(size); // { width: 100, height: 50 }
var point = new Point(size);
console.log(point); // { x: 100, y: 50 }
Creates a Point object using the coordinates of the given Point object.
- Parameters:
- point: Point
Operators
Checks whether the coordinates of the point are equal to that of the supplied point.
- Returns:
- Boolean — true if the points are equal, false otherwise
Example
var point = new Point(5, 10); console.log(point == new Point(5, 10)); // true console.log(point == new Point(1, 1)); // false console.log(point != new Point(1, 1)); // true
Returns the addition of the supplied value to both coordinates of the point as a new point.
The object itself is not modified!
- Returns:
- Point — the addition of the point and the value as a new point
Example
var point = new Point(5, 10);
var result = point + 20;
console.log(result); // {x: 25, y: 30}
Returns the addition of the supplied point to the point as a new point.
The object itself is not modified!
- Returns:
- Point — the addition of the two points as a new point
Example
var point1 = new Point(5, 10);
var point2 = new Point(10, 20);
var result = point1 + point2;
console.log(result); // {x: 15, y: 30}
Returns the subtraction of the supplied value to both coordinates of the point as a new point.
The object itself is not modified!
- Returns:
- Point — the subtraction of the point and the value as a new point
Example
var point = new Point(10, 20);
var result = point - 5;
console.log(result); // {x: 5, y: 15}
Returns the subtraction of the supplied point to the point as a new point.
The object itself is not modified!
- Returns:
- Point — the subtraction of the two points as a new point
Example
var firstPoint = new Point(10, 20);
var secondPoint = new Point(5, 5);
var result = firstPoint - secondPoint;
console.log(result); // {x: 5, y: 15}
Returns the multiplication of the supplied value to both coordinates of the point as a new point.
The object itself is not modified!
- Returns:
- Point — the multiplication of the point and the value as a new point
Example
var point = new Point(10, 20);
var result = point * 2;
console.log(result); // {x: 20, y: 40}
Returns the multiplication of the supplied point to the point as a new point.
The object itself is not modified!
- Returns:
- Point — the multiplication of the two points as a new point
Example
var firstPoint = new Point(5, 10);
var secondPoint = new Point(4, 2);
var result = firstPoint * secondPoint;
console.log(result); // {x: 20, y: 20}
Returns the division of the supplied value to both coordinates of the point as a new point.
The object itself is not modified!
- Returns:
- Point — the division of the point and the value as a new point
Example
var point = new Point(10, 20);
var result = point / 2;
console.log(result); // {x: 5, y: 10}
Returns the division of the supplied point to the point as a new point.
The object itself is not modified!
- Returns:
- Point — the division of the two points as a new point
Example
var firstPoint = new Point(8, 10);
var secondPoint = new Point(2, 5);
var result = firstPoint / secondPoint;
console.log(result); // {x: 4, y: 2}
The modulo operator returns the integer remainders of dividing the point by the supplied value as a new point.
- Returns:
- Point — the integer remainders of dividing the point by the value as a new point
Example
var point = new Point(12, 6);
console.log(point % 5); // {x: 2, y: 1}
The modulo operator returns the integer remainders of dividing the point by the supplied value as a new point.
- Returns:
- Point — the integer remainders of dividing the points by each other as a new point
Example
var point = new Point(12, 6);
console.log(point % new Point(5, 2)); // {x: 2, y: 0}
Properties
The length of the vector that is represented by this point's coordinates.
Each point can be interpreted as a vector that points from the origin (x = 0, y = 0) to the point's location.
Setting the length changes the location but keeps the vector's angle.
- Type:
- Number
The vector's angle in degrees, measured from the x-axis to the vector.
The angle is unsigned, no information about rotational direction is given.
- Type:
- Number
The vector's angle in radians, measured from the x-axis to the vector.
The angle is unsigned, no information about rotational direction is given.
- Type:
- Number
The quadrant of the angle of the point.
Angles between 0 and 90 degrees are in quadrant 1. Angles between 90 and 180 degrees are in quadrant 2, angles between 180 and 270 degrees are in quadrant 3 and angles between 270 and 360 degrees are in quadrant 4.
- Type:
- Number
Example
var point = new Point({
angle: 10,
length: 20
});
console.log(point.quadrant); // 1
point.angle = 100;
console.log(point.quadrant); // 2
point.angle = 190;
console.log(point.quadrant); // 3
point.angle = 280;
console.log(point.quadrant); // 4
Methods
- Returns:
- String — A string representation of the point.
Distance & Length
Returns the distance between the point and another point.
- Parameters:
- point: Point
- squared: Boolean — Controls whether the distance should remain squared, or its square root should be calculated. — optional, default: false
- Returns:
- Number
Normalize modifies the length of the vector to 1 without changing its angle and returns it as a new point. The optional length parameter defines the length to normalize to.
The object itself is not modified!
- Parameters:
- length: Number — The length of the normalized vector — optional, default: 1
- Returns:
- Point — The normalized vector of the vector that is represented by this point's coordinates.
Angle & Rotation
Returns the smaller angle between two vectors. The angle is unsigned, no information about rotational direction is given.
- Parameters:
- point: Point
- Returns:
- Number — the angle in degrees
Returns the smaller angle between two vectors in radians. The angle is unsigned, no information about rotational direction is given.
- Parameters:
- point: Point
- Returns:
- Number — the angle in radians
Rotates the point by the given angle around an optional center point.
The object itself is not modified.
Read more about angle units and orientation in the description of the angle property.
- Parameters:
- angle: Number — the rotation angle
- center: Point — the center point of the rotation
- Returns:
- Point — the rotated point
Tests
Checks whether the point is inside the boundaries of the rectangle.
- Parameters:
- rect: Rectangle — the rectangle to check against
- Returns:
- Boolean — true if the point is inside the rectangle, false otherwise
Checks if the point is within a given distance of another point.
- Parameters:
- point: Point — the point to check against
- tolerance: Number — the maximum distance allowed
- Returns:
- Boolean — true if it is within the given distance, false otherwise
Checks if the vector represented by this point is colinear (parallel) to another vector.
- Parameters:
- point: Point — the vector to check against
- Returns:
- Boolean — true it is colinear, false otherwise
Checks if the vector represented by this point is orthogonal (perpendicular) to another vector.
- Parameters:
- point: Point — the vector to check against
- Returns:
- Boolean — true it is orthogonal, false otherwise
Checks if this point has both the x and y coordinate set to 0.
- Returns:
- Boolean — true both x and y are 0, false otherwise
Checks if this point has an undefined value for at least one of its coordinates.
- Returns:
- Boolean — true if either x or y are not a number, false otherwise
Vector Math Functions
Returns the dot product of the point and another point.
- Parameters:
- point: Point
- Returns:
- Number — the dot product of the two points
Returns the cross product of the point and another point.
- Parameters:
- point: Point
- Returns:
- Number — the cross product of the two points