import math
import matplotlib.pyplot as plt
#import numpy as np

def func1():
    return ("func1 -> (math.exp(math.pi*math.sin(0.999))*math.log(math.pi*2)/21))", (math.exp(math.pi*math.sin(0.999))*math.log(math.pi*2)/21))

def func2():
    return ("func2 -> (math.exp(math.pi*2)/math.log(math.pi*0.99))/440)", (math.exp(math.pi*2)/math.log(math.pi*0.99))/440)

def func3():
    return ("func3 -> (((math.pi*(math.exp(math.pi*math.sin(0.999))*math.log(math.pi*2)/21)) + (math.pi*((math.exp(math.pi*2)/math.log(math.pi*0.99))/440))) /2): ", (((math.pi*(math.exp(math.pi*math.sin(0.999))*math.log(math.pi*2)/21)) + (math.pi*((math.exp(math.pi*2)/math.log(math.pi*0.99))/440))) /2))

def func4():
    return ("math.pi ** 3: ", (math.pi**3)/9)

def fibonacci_of(n):
     if n in {0, 1}:  # Base case
         return n
     return fibonacci_of(n - 1) + fibonacci_of(n - 2)  # Recursive case

print(func1())
print(func2())
print(func3())
print(func4())

print([fibonacci_of(n) for n in range(15)])

n=func1()
print([fibonacci_of(n) for n in range(15)])

n=func2()
print([fibonacci_of(n) for n in range(15)])

n=func3()
print([fibonacci_of(n) for n in range(15)])

def func1_1():
    return (math.exp(math.pi*math.sin(0.999))*math.log(math.pi*2)/21)

def func2_1():
    return ((math.exp(math.pi*2)/math.log(math.pi*0.99))/440)

def func3_1():
    return (((math.pi*(math.exp(math.pi*math.sin(0.999))*math.log(math.pi*2)/21)) + (math.pi*((math.exp(math.pi*2)/math.log(math.pi*0.99))/440))) /2)

print("(func3_1() * (func1_1()+func2_1())/2)", (func3_1() * (func1_1()+func2_1())/2))
print("abs((math.sin(func3_1() * (func1_1()+func2_1())/2))))", abs((math.sin(func3_1() * (func1_1()+func2_1())/2))))
print("abs((math.sin(func3_1() * (func1_1()+func2_1())/2)))*((math.sin(func3_1() * (func1_1()+func2_1())/2))): ", abs((math.sin(func3_1() * (func1_1()+func2_1())/2)))*((math.sin(func3_1() * (func1_1()+func2_1())/2))))

vector1=[]
vector2=[]
vector3=[]
vector4=[]

def test1():
    pi=3.14
    print("pi = ", pi)
    result=pi
    print("result = ", pi)
    print("for i in range(1,15)")
    for i in range(1,99):
        print("result*=func1/i i = ", int(i*0.1), " i = ", i)
        result*=func1_1()
        result=result/i
        print(result)
        vector1.append(result)

def test2():
    pi=3.14
    print("pi = ", pi)
    result=pi
    print("result = ", pi)
    print("for i in range(1,99)")
    for i in range(1,99):
        print("result*=func2/i i = ", int(i*0.1), " i = ", i)
        result*=func2_1()
        result=result/i
        print(result)
        vector2.append(result)

def test3():
    pi=3.14
    print("pi = ", pi)
    result=pi
    print("result = ", pi)
    print("for i in range(1,99)")
    for i in range(1,99):
        print("result*=func3/i i = ", int(i*0.1), " i = ", i)
        result*=func3_1()
        result=result/i
        print(result)
        vector3.append(result)

def test4():
    pi=3.14
    print("pi = ", pi)
    result=pi
    print("result = ", pi)
    print("for i in range(1,99)")
    for i in range(1,99):
        print("result*=(func3_1() * ((func2_1()+func1_1())/2))/i i = ", int(i*0.1), " i = ", i)
        result*=(func3_1() * ((func2_1()+func1_1())/2))
        result=result/i
        print(result)
        vector4.append(result)

test1()
test2()
test3()
test4()

print(vector1)
print(vector2)
print(vector3)
print(vector4)

def meinenplot(varA, varB):
    plt.plot(varA, varB)
    plt.xlabel('varA - axis')
    plt.ylabel('varB - axis')
    plt.show()

def multiplot():
    meinenplot(vector1, vector2)
    meinenplot(vector1, vector3)
    meinenplot(vector1, vector4)
    meinenplot(vector2, vector3)
    meinenplot(vector2, vector4)
    meinenplot(vector3, vector4)

multiplot()

def round_array(arr):
    n = len(arr)
    total = 0
    for i in range(n):
        total += arr[i]
        print("total = ", total)
    average = total / n
    print("average = ", average)

round_array(vector1)
round_array(vector2)
round_array(vector3)
round_array(vector4)