Improve my math to make it more accurate please?
I am trying to make the character's arms follow the CurrentCamera with SetDesiredAngle and some fake arms. I made some gimmicky formula thingy to set the angle correctly, but sometimes the math is off (Camera looks down, arms go up). Could someone improve my formula? I've heard that trigonometry could solve the problem but I'm not exactly sure how to get side lengths (my only experience with trig is basically 5 lessons of Khan Academy).
repeat wait() until game.Players.LocalPlayer
frames = setmetatable({},{})
player = game.Players.LocalPlayer
character = player.Character
cam = Workspace.CurrentCamera
frames.Default = {
Right = CFrame.new(1.5,-1,-1.5)*CFrame.Angles(math.rad(90),0,0);
Left = CFrame.new(-1.5,-1,-1.5)*CFrame.Angles(math.rad(90),0,0)
}
frames.Gun = {
Right = CFrame.new(1,-1,-1)*CFrame.Angles(math.rad(90),0,0);
Left = CFrame.new(-0.5,-1,-1.5)*CFrame.Angles(math.rad(90),0,math.rad(30))
}
getmetatable(frames).__index = {}
getmetatable(frames).__index.CurrentFrame = frames.Default
rarm = character["Right Arm"]
larm = character["Left Arm"]
frarm = rarm:Clone()
flarm = larm:Clone()
frarm.Parent = cam
flarm.Parent = cam
player.CameraMode = "LockFirstPerson"
game:GetService("RunService").RenderStepped:connect(function()
frarm.CFrame = cam.CoordinateFrame*frames.CurrentFrame.Right
flarm.CFrame = cam.CoordinateFrame*frames.CurrentFrame.Left
character.Torso["Right Shoulder"]:SetDesiredAngle(math.rad(frarm.Rotation.X)-(math.rad(frarm.Rotation.X)-math.rad(90))*2) -- Math for Right Arm
character.Torso["Left Shoulder"]:SetDesiredAngle(math.rad(-flarm.Rotation.X)+(math.rad(flarm.Rotation.X)-math.rad(90))*2) -- Math for Left Arm
end)
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1 answer
Hi evolvedpiakchu,
Back in some twisted mind state I was in at a time - months ago - I decided to create a solution for example this. Here is the code and brief explanation that I made.
-- Expects character to already be there (does not check for nil or wait for character)
-- Needs Animate script removed
local p = Game.Players.LocalPlayer
local m = p:GetMouse()
local joint = p.Character.Torso['Right Shoulder'];
function AngleBetween(v1, v2)
local d = v1:Dot(v2);
local angle = d/(v1.magnitude * v2.magnitude)
return math.acos(angle);
end
m.Move:connect(function()
local Omega = (m.hit.p - p.Character.Torso.Position).unit;
local Omega_c = Vector3.new(Omega.X, Omega.Y,0);
local Theta = AngleBetween(Vector3.new(0,-1,0), Omega_c);
joint.DesiredAngle = Theta;
print(math.deg(Theta));
end)
So basically, taking in the comments already written, this will connect the Move event of the mouse to make the angle degree as if it were "pointing" the arm at the camera.
The math is trigonometry, yes. If you haven't taken trig, then it will be a little complicated to "think up" a solution for problems like these. Those who have taken the class (and listened) should easily be able to think this through.
I basically take two vectors (one as the world-space negative normal and one as the vector pointing with the camera) and fine the angle between them. This is all that is needed for the DesiredAngle to function correctly.
The actual mathematical concepts are more in-depth than a Lua-based question should answer. That would be for math classes.
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