1.py

#!/usr/local/bin/python3
#
# PCSI, TP d'informatique n°4. #1
# Copyright (C) 2013, Adrien Tétar. All Rights Reserved.
#
def euclidienne(n, d):
    return (n//d, n%d)

print(euclidienne(int(input("Donner n >= 0:")), int(input("Donner d > 0:"))))

2.py

#!/usr/local/bin/python3
#
# PCSI, TP d'informatique n°4. #2
# Copyright (C) 2013, Adrien Tétar. All Rights Reserved.
#
def puissance(cur, pow):
    res = 1
    for i in range(pow):
        res *= cur
    return res

print(puissance(int(input("Donner un entier n:")), int(input("Donner la puissance désirée:"))))

3.py

#!/usr/local/bin/python3
#
# PCSI, TP d'informatique n°4. #3
# Copyright (C) 2013, Adrien Tétar. All Rights Reserved.
#
def maxList(array):
    res = array[0]
    for i in array[1:]:
        if i > res:
            res = i
    return res

def maxList_rec(array):
    if len(array) == 1:
        return array[0]
    res = maxList_rec(array[1:])
    if array[0] > res:
        res = array[0]
    return res

print(maxList_rec([-150, 5000, 2, 0, -250, 5]))

4.py

#!/usr/local/bin/python3
#
# PCSI, TP d'informatique n°4. #4
# Copyright (C) 2013, Adrien Tétar. All Rights Reserved.
#
def nextSyracuse(syr):
    if syr%2 == 0:
        return syr/2
    else:
        return 3*syr+1

cur = 2013
print(cur)
while cur != 1:
    cur = nextSyracuse(cur)
    print(cur)

5.py

#!/usr/local/bin/python3
#
# PCSI, TP d'informatique n°4. #5
# Copyright (C) 2013, Adrien Tétar. All Rights Reserved.
#
from math import sqrt

def myFunc(x):
    return sqrt(1+x**2)

def moyenneFunc(func, a, b):
    res = 0
    for i in range(a, b+1):
        res += func(i)
    res /= (abs(b-a)+1)
    return res

print(moyenneFunc(myFunc, 4, 10))

6.py

#!/usr/local/bin/python3
#
# PCSI, TP d'informatique n°4. #6
# Copyright (C) 2013, Adrien Tétar. All Rights Reserved.
#
from math import sqrt

def myFunc(x):
    return sqrt(1+x**2)

def integrale(func, a, b, e):
    rect = (b-a)/e
    res = 0
    for i in range (0, e):
        res += func(a+rect*i)
    return res

print(integrale(myFunc, 4, 10, 200))