Proposition de corrigé du midterm pour la partie programmation

def is_in_unit_disc(x: float, y: float) -> bool:
    r2 = x * x + y * y
    if r2 < 1:
        return True
    else:
        return False

# plus concis:
def is_in_unit_disc(x: float, y: float) -> bool:
    return x * x + y * y < 1

     
     
def simulate_one() -> bool:
    x = rand()
    y = rand()
    if is_in_unit_disc(x, y):
        return True
    else:
        return False

# plus concis:
def simulate_one() -> bool:
    return is_in_unit_disc(x=rand(), y=rand())
                         
     
     
def estimate_pi(num: int) -> float:
    count = 0
    for _ in range(num):
        if simulate_one():
            count += 1
    p = count / num
    return 4 * p


# plus concis, même si on n'a pas encore appris à écrire ceci:
def estimate_pi(num: int) -> float:
    return sum(simulate_one() for _ in range(num)) / num * 4

def count_syllables(word: str) -> int:
    vowels = {"a", "e", "i", "o", "u", "y"}
    count = 0
    last_was_vowel = False
    last_index = len(word) - 1
    for i in range(len(word)):
        is_vowel = word[i] in vowels
        if is_vowel and not last_was_vowel and not (i == last_index and word[i] == 'e'):
            count += 1
        last_was_vowel = is_vowel
    if count == 0:
        return 1
    return count

 
classified: Dict[int, List[str]] = {}
for word in words:
    syllables = count_syllables(word)
    if syllables not in classified:
        classified[syllables] = []
    classified[syllables].append(word)