float4

float4 represents a four-dimensional vectors.

Properties

float4 zero

A float4 with the magnitude of zero

float4 one

A float4 with a value of 1 on every axis

number magnitude

Returns the length of this vector

float4 normalized

Returns this vector with a magnitude of 1

number sqrMagnitude

Returns the squared length of this vector

number x

The x-coordinate of the float4

number y

The y-coordinate of the float4

number z

The z-coordinate of the float4

number w

The w-coordinate of the float4

Functions

float4 float4.New(number x, number y, number z, number w)

Constructs a new float4 using the given x, y,z and w components.

number float4.Distance(float4 a, float4 b)

Returns the distance between a and b.

local other = float4.New(1,1,1,1)
local _self = float4.New(0,0,0,0)
local dist = float4.Distance(other, _self)
print("distance to other: " .. dist)

number float4.Dot(float4 a, float4 b)

Dot product of two vectors.

float4 float4.Lerp(float4 a, float4 b, number t)

Linearly interpolates between two points. Interpolates between the points a and b by t. The parameter t is clamped to the range [0, 1]. When t = 0, returns a. When t = 1, returns b. When t = 0.5, returns the midpoint of between a and b.

• a Start value, returned when t = 0.
• b End value, returned when t = 1.

float4 float4.Max(float4 a, float4 b)

Returns a vector that is made from the largest components of two vectors.

local a = float4.New(1,2,3,4)
local b = float4.New(4,3,2,1)
-- (4,3,3,4)
print(float4.Max(a,b))

float4 float4.Min(float4 a, float4 b)

Returns a vector that is made from the smallest components of two vectors.

float4 float4.MoveTowards(float4 current, float4 target, number maxDistanceDelta)

Moves a point current towards target.

• current The position to move from.
• target The position to move towards.
• maxDistanceDelta Distance to move current per call.

float4 float4.Project(float4 a, float4 b)

Projects a vector onto another vector.

float4 float4.Scale(float4 a, float4 b)

Multiplies two vectors component-wise. Every component in the result is a component of a multiplied by the same component of b.

float4 Mul(number value)

ReturnsSelf.

Multiplies self by a number. Mul will modify the value of self. Instead, apply operator * to create a new float4 value without self modification.

• value A number.

local a = float4.New(1,1,1,1)
a:Mul(2)
print(tostring(a))  -- output: [2,2,2,2]

local b = float4.New(3, 5, 7, 9)
local c = b * 2
print(tostring(b))  -- output: [3,5,7,9]
print(tostring(c))  -- output: [6,10,14,18]

In this example, Mul modifies the value of a to [2,2,2,2], while b*2 creates a new float4 without modifying b.

float4 Div(number value)

ReturnsSelf.

Divides self by a number. Div will modify the value of self. Instead, apply operator / to create a new float4 value without self modification.

• value A number.

float4 Add(float4 value)

ReturnsSelf.

Adds a float4 to self. Add will modify the value of self. Instead, apply operator + to create a new float4 value without modification.

• value A float4 value.

local a = float4.New(1, 2, 3, 4)
a:Add(float4.New(5, 6, 7, 8))
print(tostring(a))   -- output: [6,8,10,12]

local b = float4.New(8, 10, 12, 14)
local c = float4.New(9, 11, 13, 15)
local d = b+c
print(tostring(b))   -- output: [8,10,12,14]
print(tostring(c))   -- output: [9,11,13,15]
print(tostring(d))   -- output: [17,21,25,29]

In this example, function Add modifies the value of a to [6,8,10,12], while b+c creates a new float4 without modification.

float4 Sub(float4 value)

ReturnsSelf.

Subtracts a float4 from self. Sub will modify the value of self. Instead, apply operator - to create a new float4 value without modification.

• value A float4.

number SqrMagnitude()

Returns the squared length of this vector.

number Magnitude()

Returns the length of this vector. The length of the vector is square root of (x*x+y*y).

float4 Normalize()

Makes this vector have a magnitude of 1.

void Set(number x, number y, number z, number w)

Set x, y, z and w components of an existing float4.

float4 SetNormalize()

Makes and returns this vector have a magnitude of 1.

void SetScale(float4 value)

Multiplies two vectors component-wise.