logaritme_exponentiel

import math

def isEven(a):
    return (a & 0x1) == 0


def intPow(val, exp):
    if exp == 0:
        return 1;
    if isEven(exp):
        return intPow(val * val, exp / 2)
    return val * intPow(val * val, (exp - 1) / 2)


def factorial(val):
    if (val <= 0):
        return 1
    return factorial(val-1)*val

maxIterations = 150

def lnCustom(x):
    if (x == 1):
        return 0
    x = float(x)
    result = 0
    for n in range(1, maxIterations):
        curVal = intPow((x-1)/x, n) / n
        result += curVal
    return result

def eCustom(x):
    x = float(x)
    result = 0
    for n in range(0, maxIterations):
        curVal = intPow(x, n)/factorial(n)
        result += curVal
    return result

def fracPow(x, exp):
    return eCustom(lnCustom(x)*exp)