cours_progra/bac1/q1/20oct/myList.py

149 lines
4.3 KiB
Python
Raw Normal View History

2022-10-20 16:25:57 +02:00
"""
Nous ne pouvons utiliser que pop et append pour les lists
"""
import math
def map(fun, it):
"""execute la fonction sur chaques elements de la liste """
ret = list()
for i in it:
ret.append(fun(i))
return ret
def filter(test_fun, it):
"""return a list of all el of it that passes test fun """
ret = list()
for i in it:
v = test_fun(i)
if v:
ret.append(i)
return ret
def reduce(fun, it):
ret = fun(it[0], it[1])
for i in range(2, len(it)):
ret = fun(ret, it[i])
return ret
def prime_numbers(n):
"""make a list of n first prime elements """
ret = list()
cursor = 2
while len(ret) < n:
check = True
for i in range(2, cursor):
if cursor % i == 0:
check = False
if check:
ret.append(cursor)
cursor += 1
return ret
def is_prime(n):
if n == 0 or n == 1:
return False
for i in range(2, n):
if n % i == 0:
return False
return True
def insert(seq, n):
"""insert n in the seq at the right position
:seq: List par ordre croissant
"""
ret = list()
cursor = None
for i in range(len(seq)):
if seq[i] < n:
ret.append(seq[i])
else:
cursor = i
break
ret.append(n)
if cursor is None:
return ret
for j in seq[cursor:]:
ret.append(j)
return ret
def produit_matriciel(matrice1, matrice2):
"""fait le produit matriciel de 2 matrices """
if len(matrice1[0]) != len(matrice2):
return None
ret = list()
for i in range(len(matrice1)):
temp = list()
for j in range(len(matrice1)):
temp.append(sum_for_matrices(matrice1, i, matrice2, j))
ret.append(temp)
if len(ret) == 1:
return ret[0][0]
return ret
def sum_for_matrices(a, i, b, j):
tot = 0
for k in range(0, len(b)):
tot += a[i][k] * b[k][j]
return tot
def test(fun, *args, result):
if len(args) == 1:
test = fun(args[0])
if test == result:
print(f"{fun.__name__}({args[0]}) == {result} -- SUCCESS!")
else:
print(f"{fun.__name__}({args[0]}) == {result} -- ERROR! (returned {test})")
elif len(args) == 2 and hasattr(args[0], '__name__'):
test = fun(args[0], args[1])
if test == result:
print(f"{fun.__name__}({args[0].__name__}, {args[1]}) == {result} -- SUCCESS!")
else:
print(f"{fun.__name__}({args[0].__name__}, {args[1]}) == {result} -- ERROR! (returned {test})")
elif len(args) == 2:
test = fun(args[0], args[1])
if test == result:
print(f"{fun.__name__}({args[0]}, {args[1]}) == {result} -- SUCCESS!")
else:
print(f"{fun.__name__}({args[0]}, {args[1]}) == {result} -- ERROR! (returned {test})")
if __name__ == "__main__":
test(map, math.sqrt, [], result=[])
test(map, math.sqrt, [2.0, 4.0, 6.0, 100.0], result=[1.4142135623730951, 2.0, 2.449489742783178, 10.0])
test(map, str.upper, list('hello'), result=['H', 'E', 'L', 'L', 'O'])
test(filter, is_prime, range(20), result=[2, 3, 5, 7, 11, 13, 17, 19])
test(filter, str.isalpha, list('r2d2'), result=['r', 'd'])
test(reduce, math.pow, [2, 2], result=4.0)
test(reduce, math.pow, [2, 3, 4], result=4096.0)
test(prime_numbers, 1, result=[2])
test(prime_numbers, 12, result=[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37])
test(is_prime, 1, result=False)
test(is_prime, 2, result=True)
test(is_prime, 3, result=True)
test(is_prime, 33, result=False)
test(insert, [], 1, result=[1])
test(insert, list(range(6)), -1, result=[-1, 0, 1, 2, 3, 4, 5])
test(insert, list(range(6)), 3, result=[0, 1, 2, 3, 3, 4, 5])
test(insert, list(range(6)), 10, result=[0, 1, 2, 3, 4, 5, 10])
test(produit_matriciel, [[2, 0, 1], [3, 6, 2]], [[1, 5], [2, 6], [3, 7]], result=[[5, 17], [21, 65]])
test(produit_matriciel, [[1, 5], [2, 6], [3, 7]], [[2, 0, 1], [3, 6, 2]], result=[[17, 30, 11], [22, 36, 14], [27, 42, 17]])
test(produit_matriciel, [[1.0, 2.5]], [[3.0], [4.5]], result=14.25)
test(produit_matriciel, [[1.0, 2.5]], [[3.0, 4.5]], result=None)
test(produit_matriciel, [[1, 5], [2, 6], [3, 7]], [[1, 5], [2, 6], [3, 7]], result=None)