import math
from tabulate import tabulate

function1_ = 20
function2_ = 10

def function1(x):
    return 20 + 6 * x - 3 * x // 2


def function2(x):
    return 9 * math.log1p(x) + 9


def calculate(start, end, step):
    result = []
    x = start
    while x <= end:
        res1 = function1(x)/function1_
        res2 = function2(x)/function2_
        res3 = max(res1, res2)
        res4 = min(res1,res2)
        result.append([res1, res2, res3, res4])
        x += step

    return result


def main():
    result = calculate(2, 5, 0.001)
    min_max = result[0][2]
    max_min = result[0][3]

    for index in range(len(result)):
        min_max = min(result[index][2], min_max)
        max_min = max(result[index][3], max_min)

    print(tabulate(result, headers=['f1/f1*', 'f2/f2*', 'max(Fi/Fi*)', 'min(Fi/Fi*)']))

    print("min max(Fi/Fi*) = {}".format(min_max))
    print("max min(Fi/Fi*) = {}".format(max_min))


if __name__ == "__main__":
    main()