Notebook originel: exos_python.ipynb

Exercices Python

Introduction

Intégration: méthode des rectangles

def integ_rectangles(f, a, b, n=100):
    """
    Retourne une évaluation de l'intégrale de la fonction `f` entre `a` et `b`
    par la méthode des rectangles, avec `n` pas.
    """

    return 0

Fizz-Buzz

def fizzbuzz(n):
    """
    Retourne une chaîne de caractères à imprimer.
    """

    return ''

PGCD: algorithme d’Euclide

def pgcd(a, b):
    """
    Calcul du PGCD de deux entiers 0 < b < a.
    """

    return 0

Manipulation de listes

Crible d’Ératosthène

def erathostene(n):
    """
    Retourne la liste des entiers premiers ≤ n.
    """

    return []

Carré magique

def carremagique(n):
    """
    Retourne le carré magique d'ordre n (impair).
    """

    return [[]]

Programmation

Suite de Syracuse

def suite_syracuse(n):
    """
    Retourne la suite de Syracuse d'ordre n.
    """

    return []

def temps_syracuse(n, altitude=False):
    """
    Retourne le temps de vol (total ou en altitude) de la suite de Syracuse d'ordre n.
    """

    return 0

Tests de correction

NE PAS MODIFIER/EFFACER!

import unittest

class TestNotebook(unittest.TestCase):

    def test_01_integ_rectangles(self):
        self.assertAlmostEqual(integ_rectangles(lambda x: x**2, 0, 1, 100), 1/3, places=4)

    def test_02_fizzbuzz(self):
        self.assertEqual(fizzbuzz(16),
                         "1 2 Fizz! 4 Buzz! Fizz! 7 8 Fizz! Buzz! 11 Fizz! 13 14 Fizz Buzz! 16")

    def test_03_pgcd(self):
        self.assertEqual(pgcd(756, 306), 18)
        with self.assertRaises(AssertionError):
            pgcd(306, 756)

    def test_04_erathostene(self):
        self.assertEqual(erathostene(41),
                         [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41])

    def test_05_carremagique(self):
        carre = [[11, 18, 25, 2, 9],
                 [10, 12, 19, 21, 3],
                 [4, 6, 13, 20, 22],
                 [23, 5, 7, 14, 16],
                 [17, 24, 1, 8, 15]]
        self.assertEqual(carremagique(5), carre)
        with self.assertRaises(AssertionError):
            carremagique(6)

    def test_06_syracuse(self):
        self.assertEqual(suite_syracuse(15),
                         [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1])
        self.assertEqual(temps_syracuse(15), 17)
        self.assertEqual(temps_syracuse(15, altitude=True), 11)

unittest.main(argv=[''], verbosity=2, exit=False)

test_01_integ_rectangles (__main__.TestNotebook) ... FAIL
test_02_fizzbuzz (__main__.TestNotebook) ... FAIL
test_03_pgcd (__main__.TestNotebook) ... FAIL
test_04_erathostene (__main__.TestNotebook) ... FAIL
test_05_carremagique (__main__.TestNotebook) ... FAIL
test_06_syracuse (__main__.TestNotebook) ... FAIL

======================================================================
FAIL: test_01_integ_rectangles (__main__.TestNotebook)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/tmp/ipykernel_2267707/903517605.py", line 6, in test_01_integ_rectangles
    self.assertAlmostEqual(integ_rectangles(lambda x: x**2, 0, 1, 100), 1/3, places=4)
AssertionError: 0 != 0.3333333333333333 within 4 places (0.3333333333333333 difference)

======================================================================
FAIL: test_02_fizzbuzz (__main__.TestNotebook)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/tmp/ipykernel_2267707/903517605.py", line 9, in test_02_fizzbuzz
    self.assertEqual(fizzbuzz(16),
AssertionError: '' != '1 2 Fizz! 4 Buzz! Fizz! 7 8 Fizz! Buzz! 11 Fizz! 13 14 Fizz Buzz! 16'
+ 1 2 Fizz! 4 Buzz! Fizz! 7 8 Fizz! Buzz! 11 Fizz! 13 14 Fizz Buzz! 16

======================================================================
FAIL: test_03_pgcd (__main__.TestNotebook)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/tmp/ipykernel_2267707/903517605.py", line 13, in test_03_pgcd
    self.assertEqual(pgcd(756, 306), 18)
AssertionError: 0 != 18

======================================================================
FAIL: test_04_erathostene (__main__.TestNotebook)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/tmp/ipykernel_2267707/903517605.py", line 18, in test_04_erathostene
    self.assertEqual(erathostene(41),
AssertionError: Lists differ: [] != [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41]

Second list contains 13 additional elements.
First extra element 0:
2

- []
+ [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41]

======================================================================
FAIL: test_05_carremagique (__main__.TestNotebook)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/tmp/ipykernel_2267707/903517605.py", line 27, in test_05_carremagique
    self.assertEqual(carremagique(5), carre)
AssertionError: Lists differ: [[]] != [[11, 18, 25, 2, 9], [10, 12, 19, 21, 3], [[53 chars] 15]]

First differing element 0:
[]
[11, 18, 25, 2, 9]

Second list contains 4 additional elements.
First extra element 1:
[10, 12, 19, 21, 3]

- [[]]
+ [[11, 18, 25, 2, 9],
+  [10, 12, 19, 21, 3],
+  [4, 6, 13, 20, 22],
+  [23, 5, 7, 14, 16],
+  [17, 24, 1, 8, 15]]

======================================================================
FAIL: test_06_syracuse (__main__.TestNotebook)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/tmp/ipykernel_2267707/903517605.py", line 32, in test_06_syracuse
    self.assertEqual(suite_syracuse(15),
AssertionError: Lists differ: [] != [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]

Second list contains 18 additional elements.
First extra element 0:
15

- []
+ [15, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]

----------------------------------------------------------------------
Ran 6 tests in 0.006s

FAILED (failures=6)

<unittest.main.TestProgram at 0x7f0b6978a9d0>

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