PirateTreasureHunt/SpringDamper.gd

29 lines
785 B
GDScript

# Based on: allenchou.net/2015/04/game-math-precise-control-over-numeric-springing/
extends Object
class_name SpringDamper
var omega
var zeta
# Called when the node enters the scene tree for the first time.
func _ready():
pass # Replace with function body.
func _init(osc_freq:float = 1.0, osc_red:float = 0.1, osc_red_h:float = 1.0):
assert (osc_red > 0.001 and osc_red < 0.999)
omega = osc_freq * 2 * PI
zeta = log(1.0 - osc_red) / (-omega * osc_red_h)
print ("omega: ", omega, " zeta: ", zeta)
func calc(x, v, xt, h:float):
var f = 1.0 + 2.0 * h * zeta * omega
var oo = omega * omega
var hoo = oo * h
var hhoo = hoo * h
var det_inv = 1.0 / (f + hhoo)
var det_x = f * x + h * v + hhoo * xt
var det_v = v + hoo * (xt - x)
return [det_x * det_inv, det_v * det_inv]