import math
from src.main.py.logarithmic_and_expo_and_root_calculations import potentiate
from src.main.py.primitive_calculations import *
def pi_approx_leibniz(precision):
    if precision < 0:
        return -1
    result = 0
    for i in range(precision):
        num = potentiate(-1, i)
        denom = add(1, multiply(2,i))
        result = add(result, divide(num, denom))
    return multiply(result, 4)

def rad2deg(radNumber):
    return (radNumber * 180) / math.pi

def sin_approx_bhaskara(radNumber):
    while(radNumber > 2 * math.pi):
        radNumber -= 2 * math.pi

    shallFlipTheResult = 0  #the bhaskara function can only be used between zero and pi. For the rest of the sin period I simply mirrored the first arch of the curve to match the actual sine wave
    if math.pi < radNumber < 2 * math.pi:
        radNumber = subract(math.pi, radNumber)
        shallFlipTheResult = 1


    num = multiply(16, radNumber)
    num = multiply(num, subract(radNumber, math.pi))

    denomFrag1 = multiply(5, math.pow(math.pi, 2))
    denomFrag2 = subract(radNumber, math.pi)
    denomFrag2 = multiply(denomFrag2, radNumber)
    denomFrag2 = multiply(denomFrag2, 4)

    sinResult = divide(num, subract(denomFrag2, denomFrag1))

    if(shallFlipTheResult == 1):
        return multiply(sinResult, -1)
    return sinResult