Vector2
Defines a 2D vector, that can be used to represent a position, direction or rotation of an object in two-dimensions (x,y). A common use for Vector2 is defining the position of elements in the Hud.
Constructors
Vector2.new
Creates a new Vector2 with the given x and y values.
Example
-- Creates a new Vector2 with x=1, y=2, and assigns the vector to variable "a"
local a = Vector2.new(1, 2)
local b = Vector2.new()
print(a) -- Prints '(1, 2)'
print(b) -- Prints '(0, 0)'
Properties
x
The x component of the Vector2.
Example
local a = Vector2.new(1, 2)
print(a.x) -- Prints '1'
y
The y component of the Vector2.
Example
local a = Vector2.new(1, 2)
print(a.y) -- Prints '2'
Functions
angle(a, b)
Returns the angle (in degrees) between the two vectors.
Example
local a = Vector2.new(1, 0)
local b = Vector2.new(1, 1)
print(Vector2.angle(a, b)) -- Prints '45'
dot(a, b)
Returns the dot product of the two vectors.
Example
local a = Vector2.new(1, 1)
local b = Vector2.new(2, 0)
print(Vector2.dot(a, b)) -- Prints '0.5'
cross(a, b)
Returns the cross product of the two vectors.
Example
local a = Vector2.new(1, 0)
local b = Vector2.new(0, 1)
print(Vector2.cross(a, b)) -- Prints '(0, 0, 1)'
distance(a, b)
Returns the distance between the two vectors.
Example
local a = Vector2.new(1, 1)
local b = Vector2.new(1, 2)
print(Vector2.distance(a, b)) -- Prints '1'
lerp(from, to, t)
Returns a Vector2 where the value of each component is linearly interpolated from the input vectors, by the value specified in "t" (which should be between 0 and 1).
Example
local a = Vector2.new(1, 1)
local b = Vector2.new(2, 2)
print(Vector2.lerp(a, b, 0.5)) -- Prints '(1.5, 1.5)'
magnitude(a)
Returns the length of the input vector.
Example
local a = Vector2.new(1, 1)
print(Vector2.magnitude(a)) -- Prints '1.414'
max(a, b)
Returns a Vector2 where the value of each component is the maximum value from the respective component in each of the input vectors.
Example
local a = Vector2.new(1, 2)
local b = Vector2.new(2, 1)
print(Vector2.max(a, b)) -- Prints '(2, 2)'
min(a, b)
Returns a Vector2 where the value of each component is the minimum value from the respective component in each of the input vectors.
Example
local a = Vector2.new(1, 2)
local b = Vector2.new(2, 1)
print(Vector2.min(a, b)) -- Prints '(1, 1)'
normalize(a)
Returns a Vector2 pointing in the same direction as the input vector, but with a length of 1.
Example
local a = Vector2.new(3, 4)
print(Vector2.normalize(a)) -- Prints '(0.6, 0.8)'
sqrMagnitude(a)
Returns the squared length of the input vector.
Example
local a = Vector2.new(1, 1)
print(Vector2.sqrMagnitude(a)) -- Prints '2'
Math Operations
Vector2 + Vector2
Adds each of the components of the vector.
Example
local a = Vector2.new(1, 2)
local b = Vector2.new(3, 4)
print(a + b) -- Prints '(4, 6)'
Vector2 - Vector2
Subtracts each of the components of the vector.
Example
local a = Vector2.new(1, 2)
local b = Vector2.new(3, 4)
print(a - b) -- Prints '(-2, -2)'
Vector2 * number
Multiplies each of the components of the vector by the number.
Example
local a = Vector2.new(1, 2)
print(a * 3) -- Prints '(3, 6)'
Vector2 * Vector2
Multiplies each of the components of the first vector by the respective component on the second vector.
Example
local a = Vector2.new(1, 2)
local b = Vector2.new(3, 4)
print(a * b) -- Prints '(3, 8)'
Vector2 / number
Divides each of the components of the vector by the number.
Example
local a = Vector2.new(3, 12)
print(a / 3) -- Prints '(1, 4)'
Vector2 / Vector2
Divides each of the components of the first vector by the respective component on the second vector.
Example
local a = Vector2.new(3, 12)
local b = Vector2.new(3, 4)
print(a / b) -- Prints '(1, 3)'
Vector2 ^ Vector2
Returns the cross product of the two vectors.
Example
local a = Vector2.new(1, 0)
local b = Vector2.new(0, 1)
print(a ^ b) -- Prints '(0, 0, 1)'
-Vector2
Returns the negative of the vector.
Example
local a = Vector4.new(1, -2)
print(-a) -- Prints '(-1, 2)'
#Vector2
Returns the length of the vector.
Example
local a = Vector2.new(1, 1)
print(#a) -- Prints '1.414'
Constants
Vector2.zero
Returns a Vector2 where the value of each component is 0.
Example
print(Vector2.zero) -- Prints '(0, 0)'
Vector2.one
Returns a Vector2 where the value of each component is 1.
Example
print(Vector2.one) -- Prints '(1, 1)'
Vector2.up
Returns a Vector2 where the value of the y component is 1.
Example
print(Vector2.up) -- Prints '(0, 1)'
Vector2.down
Returns a Vector2 where the value of the y component is -1.
Example
print(Vector2.down) -- Prints '(0, -1)'
Vector2.left
Returns a Vector2 where the value of the x component is -1.
Example
print(Vector2.left) -- Prints '(-1, 0)'
Vector2.right
Returns a Vector2 where the value of the x component is 1.
Example
print(Vector2.right) -- Prints '(1, 0)'