# Vector2

Class representing a 2D vector. A 2D vector is an ordered pair of numbers (labeled x and y), which can be used to represent a number of things, such as:

• A point in 2D space (i.e. a position on a plane).
• A direction and length across a plane. In Verge3D the length will always be the Euclidean distance (straight-line distance) from (0, 0) to (x, y) and the direction is also measured from (0, 0) towards (x, y).
• Any arbitrary ordered pair of numbers.

There are other things a 2D vector can be used to represent, such as momentum vectors, complex numbers and so on, however these are the most common uses in Verge3D.

## Example

``` var a = new v3d.Vector2(0, 1); //no arguments; will be initialised to (0, 0) var b = new v3d.Vector2(); var d = a.distanceTo(b); ```

## Constructor

### Vector2(x : Float, y : Float)

x - the x value of the vector. Default is 0.
y - the y value of the vector. Default is 0.

Creates a new Vector2.

Alias for y.

Alias for x.

## Methods

### # .addScalar (s : Float) : this

Adds the scalar value s to this vector's x and y values.

### # .addScaledVector (v : Vector2, s : Float) : this

Adds the multiple of v and s to this vector.

### # .addVectors (a : Vector2, b : Vector2) : this

Sets this vector to a + b.

### # .angle () : Float

Computes the angle in radians of this vector with respect to the positive x-axis.

### # .applyMatrix3 (m : Matrix3) : this

Multiplies this vector (with an implicit 1 as the 3rd component) by m.

### # .ceil () : this

The x and y components of the vector are rounded up to the nearest integer value.

### # .clamp (min : Vector2, max : Vector2) : this

min - the minimum x and y values.
max - the maximum x and y values in the desired range

If this vector's x or y value is greater than the max vector's x or y value, it is replaced by the corresponding value.

If this vector's x or y value is less than the min vector's x or y value, it is replaced by the corresponding value.

### # .clampLength (min : Float, max : Float) : this

min - the minimum value the length will be clamped to
max - the maximum value the length will be clamped to

If this vector's length is greater than the max value, it is replaced by the max value.

If this vector's length is less than the min value, it is replaced by the min value.

### # .clampScalar (min : Float, max : Float) : this

min - the minimum value the components will be clamped to
max - the maximum value the components will be clamped to

If this vector's x or y values are greater than the max value, they are replaced by the max value.

If this vector's x or y values are less than the min value, they are replaced by the min value.

### # .clone () : Vector2

Returns a new Vector2 with the same x and y values as this one.

### # .copy (v : Vector2) : this

Copies the values of the passed Vector2's x and y properties to this Vector2.

### # .distanceTo (v : Vector2) : Float

Computes the distance from this vector to v.

### # .manhattanDistanceTo (v : Vector2) : Float

Computes the Manhattan distance from this vector to v.

### # .distanceToSquared (v : Vector2) : Float

Computes the squared distance from this vector to v. If you are just comparing the distance with another distance, you should compare the distance squared instead as it is slightly more efficient to calculate.

### # .divide (v : Vector2) : this

Divides this vector by v.

### # .divideScalar (s : Float) : this

Divides this vector by scalar s.
Sets vector to (0, 0) if s = 0.

### # .dot (v : Vector2) : Float

Calculates the dot product of this vector and v.

### # .cross (v : Vector2) : Float

Calculates the cross product of this vector and v. Note that a 'cross-product' in 2D is not well-defined. This function computes a geometric cross-product often used in 2D graphics

### # .equals (v : Vector2) : Boolean

Checks for strict equality of this vector and v.

### # .floor () : this

The components of the vector are rounded down to the nearest integer value.

### # .fromArray (array : Array, offset : Integer) : this

array - the source array.
offset - (optional) offset into the array. Default is 0.

Sets this vector's x value to be array[offset] and y value to be array[offset + 1].

### # .fromBufferAttribute (attribute : BufferAttribute, index : Integer) : this

attribute - the source attribute.
index - index in the attribute.

Sets this vector's x and y values from the attribute.

### # .getComponent (index : Integer) : Float

index - 0 or 1.

If index equals 0 returns the x value.
If index equals 1 returns the y value.

### # .length () : Float

Computes the Euclidean length (straight-line length) from (0, 0) to (x, y).

### # .manhattanLength () : Float

Computes the Manhattan length of this vector.

### # .lengthSq () : Float

Computes the square of the Euclidean length (straight-line length) from (0, 0) to (x, y). If you are comparing the lengths of vectors, you should compare the length squared instead as it is slightly more efficient to calculate.

### # .lerp (v : Vector2, alpha : Float) : this

v - Vector2 to interpolate towards.
alpha - interpolation factor, typically in the closed interval [0, 1].

Linearly interpolates between this vector and v, where alpha is the percent distance along the line - alpha = 0 will be this vector, and alpha = 1 will be v.

### # .lerpVectors (v1 : Vector2, v2 : Vector2, alpha : Float) : this

v1 - the starting Vector2.
v2 - Vector2 to interpolate towards.
alpha - interpolation factor, typically in the closed interval [0, 1].

Sets this vector to be the vector linearly interpolated between v1 and v2 where alpha is the percent distance along the line connecting the two vectors - alpha = 0 will be v1, and alpha = 1 will be v2.

### # .negate () : this

Inverts this vector - i.e. sets x = -x and y = -y.

### # .normalize () : this

Converts this vector to a unit vector - that is, sets it equal to the vector with the same direction as this one, but length 1.

### # .max (v : Vector2) : this

If this vector's x or y value is less than v's x or y value, replace that value with the corresponding max value.

### # .min (v : Vector2) : this

If this vector's x or y value is greater than v's x or y value, replace that value with the corresponding min value.

### # .multiply (v : Vector2) : this

Multiplies this vector by v.

### # .multiplyScalar (s : Float) : this

Multiplies this vector by scalar s.

### # .rotateAround (center : Vector2, angle : float) : this

center - the point around which to rotate.
angle - the angle to rotate, in radians.

Rotates the vector around center by angle radians.

### # .round () : this

The components of the vector are rounded to the nearest integer value.

### # .roundToZero () : this

The components of the vector are rounded towards zero (up if negative, down if positive) to an integer value.

### # .set (x : Float, y : Float) : this

Sets the x and y components of this vector.

### # .setComponent (index : Integer, value : Float) : null

index - 0 or 1.
value - Float

If index equals 0 set x to value.
If index equals 1 set y to value

### # .setLength (l : Float) : this

Sets this vector to the vector with the same direction as this one, but length l.

### # .setScalar (scalar : Float) : this

Sets the x and y values of this vector both equal to scalar.

### # .setX (x : Float) : this

Replaces this vector's x value with x.

### # .setY (y : Float) : this

Replaces this vector's y value with y.

### # .sub (v : Vector2) : this

Subtracts v from this vector.

### # .subScalar (s : Float) : this

Subtracts s from this vector's x and y components.

### # .subVectors (a : Vector2, b : Vector2) : this

Sets this vector to a - b.

### # .toArray (array : Array, offset : Integer) : Array

array - (optional) array to store the vector to. If this is not provided, a new array will be created.
offset - (optional) optional offset into the array.

Returns an array [x, y], or copies x and y into the provided array.