from math import sqrt as _sqrt, acos as _acos, cos as _cos, sin as _sin, pi as _pi
import functions

class Functions():

	def Sin(self, dLimit, uLimit,counter,phase,offset):
		self.sin = (uLimit-dLimit)/2.0*_sin(2*_pi*counter) + (dLimit+uLimit)/2
		return self.sin
	def Cos(self, dLimit, uLimit,counter,phase,offset):
		self.cos = round((uLimit-dLimit)/2.0*_cos(2*_pi*counter) + (dLimit+uLimit)/2,5)
		return self.cos
	def Linear(self, dLimit, uLimit,counter):
		self.linear = uLimit-counter*dLimit
		return self.linear
	def ParabolicPositive(self, dLimit, uLimit,counter):
		self.parabolicP = 4*(uLimit-dLimit)*(counter**2-counter)+uLimit
		return self.parabolicP
	def ParabolicNegative(self, dLimit, uLimit,counter):
		self.parabolicN = -4*(uLimit-dLimit)*(counter**2-counter)+dLimit
		return self.parabolicN
	def HalfParabolicPositive(self, dLimit, uLimit,counter):
		self.halfparabolicP = (uLimit-dLimit)*(counter**2-2*counter)+uLimit
		return self.halfparabolicP
	def HalfParabolicNegative(self, dLimit, uLimit,counter):
		self.halfparabolicN = -(uLimit-dLimit)*(counter**2)+uLimit
		return self.halfparabolicN


_inst = Functions()
Sin = _inst.Sin
Cos = _inst.Cos
Linear = _inst.Linear
ParabolicPositive= _inst.ParabolicPositive
ParabolicNegative= _inst.ParabolicNegative
HalfParabolicPositive= _inst.HalfParabolicPositive
HalfParabolicNegative= _inst.HalfParabolicNegative