SNKRX/engine/math/spring.lua

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2021-02-18 05:11:25 +01:00
-- A Spring class. This is extremely useful for juicing things up.
-- See this article https://github.com/a327ex/blog/issues/60 for more details.
-- The argument passed in are: the initial value of the spring, its stiffness and damping.
Spring = Object:extend()
function Spring:init(x, k, d)
self.x = x or 0
self.k = k or 100
self.d = d or 10
self.target_x = self.x
self.v = 0
end
function Spring:update(dt)
local a = -self.k*(self.x - self.target_x) - self.d*self.v
self.v = self.v + a*dt
self.x = self.x + self.v*dt
end
-- Pull the spring with a certain amount of force. This force should be related to the initial value you set to the spring.
function Spring:pull(f, k, d)
if k then self.k = k end
if d then self.d = d end
self.x = self.x + f
end
-- Animates the spring such that it reaches the target value in a smoothy springy motion.
-- Unlike pull, which tugs on the spring so that it bounces around the anchor, this changes that anchor itself.
function Spring:animate(x, k, d)
if k then self.k = k end
if d then self.d = d end
self.target_x = x
end
--[[
NSpring = Object:extend()
function NSpring:new(x, z, o)
self.x = x or 0
self.z = z or 0.5
self.o = o or 2*math.pi
self.target_x = self.x
self.v = 0
end
function NSpring:update(dt)
local f = 1 + 2*dt*self.z*self.o
local oo = self.o*self.o
local hoo = dt*oo
local hhoo = dt*hoo
local det_inv = 1/(f+hhoo)
local det_x = f*self.x + dt*self.v + hhoo*self.target_x
local det_v = self.v + hoo*(self.target_x - self.x)
self.x = det_x*det_inv
self.v = det_v*det_inv
end
function NSpring:animate(target_x, pd, td)
self.z = math.log(pd)/(self.o*td)
self.target_x = target_x
end
]]--