Help with ":VectorToObjectSpace"

Help and Feedback Scripting Support
#1

what parts of the cframe is being compared to the vector3 in object space?
part.CFrame:VectorToObjectSpace(Studs)

is it the XVector(Right), YVector(Up), or ZVector(Front)?

Here is the code:

local origin = game.Workspace.origin
local part = game.Workspace.control

local Studs = Vector3.new(0, 1, 0)
local StudsToTravelToGetThere = part.CFrame:VectorToObjectSpace(Studs)
part.CFrame = part.CFrame * CFrame.new(StudsToTravelToGetThere)
#2

Let’s say you have a CFrame cf and a Vector3 position p:

local cf: CFrame
local p: Vector3

If you want to get the offset of the position p relative to the rotation of the CFrame cf, you would do:

local relativeOffset = cf:VectorToObjectSpace(p)

If you were to make a function that returns the offset of a Vector3 relative to the orientation of a CFrame, it would look something like this:

local function offsetRelativeToOrientation(cf: CFrame, p: Vector3): Vector3
	local p0, r, u, l = cf.Position, cf.RightVector, cf.UpVector, -cf.LookVector
	local px, py, pz = p.X, p.Y, p.Z
	local p0_x, p0_y, p0_z = p0.X, p0.Y, p0.Z
	local r_x, r_y, r_z = r.X, r.Y, r.Z
	local u_x, u_y, u_z = u.X, u.Y, u.Z
	local l_x, l_y, l_z = l.X, l.Y, l.Z
	
	local d_x, d_y, d_z do
		local d = p - p0
		d_x = d.X
		d_y = d.Y
		d_z = d.Z
	end
	
	--[[ solving matrix equation:
	
		solving for x, y, z
		x * r + y * u + z * l = p - p0
		
		Equivalent matrix equation:
	
		| r_x    u_x    l_x |   | x |     | d_x |
		| r_y    u_y    l_y | * | y |  =  | d_y |
		| r_z    u_z    l_z |   | z |     | d_z |
		
		Thus,
		          
		     | r_x  u_x  l_x  d_x |   | 1  0  0  x |
		rref | r_y  u_y  l_y  d_y | = | 0  1  0  y |
		     | r_z  u_z  l_z  d_z |   | 0  0  1  z |
		
		turning this matrix into its row reduced echelon form
		gives us the following equations
	]]
	
	return Vector3.new(
		(-d_x*l_y*u_z + d_x*l_z*u_y + d_y*l_x*u_z - d_y*l_z*u_x - d_z*l_x*u_y + d_z*l_y*u_x)/(l_x*r_y*u_z - l_x*r_z*u_y - l_y*r_x*u_z + l_y*r_z*u_x + l_z*r_x*u_y - l_z*r_y*u_x),
		(d_x*l_y*r_z - d_x*l_z*r_y - d_y*l_x*r_z + d_y*l_z*r_x + d_z*l_x*r_y - d_z*l_y*r_x)/(l_x*r_y*u_z - l_x*r_z*u_y - l_y*r_x*u_z + l_y*r_z*u_x + l_z*r_x*u_y - l_z*r_y*u_x),
		(d_x*r_y*u_z - d_x*r_z*u_y - d_y*r_x*u_z + d_y*r_z*u_x + d_z*r_x*u_y - d_z*r_y*u_x)/(l_x*r_y*u_z - l_x*r_z*u_y - l_y*r_x*u_z + l_y*r_z*u_x + l_z*r_x*u_y - l_z*r_y*u_x)
	)
end


print(offsetRelativeToOrientation(CFrame.new(), Vector3.new(3, 0, 0))) --// 3, 0, 0
print(CFrame.new(0, 0, 0):VectorToObjectSpace(Vector3.new(3, 0, 0))) --// 3, 0, 0


print(offsetRelativeToOrientation(CFrame.Angles(math.rad(30), 0, 0), Vector3.new(1, 0, 0))) --// 1, 0, 0
print(CFrame.Angles(math.rad(30), 0, 0):VectorToObjectSpace(Vector3.new(1, 0, 0))) --// 1, 0, 0


print(offsetRelativeToOrientation(CFrame.Angles(0, math.rad(30), 0), Vector3.new(5, 0, 0))) --// 4.33012..., 0, 2.5
print(CFrame.Angles(0, math.rad(30), 0):VectorToObjectSpace(Vector3.new(5, 0, 0))) --// 4.33012..., 0, 2.5
1 Like