def test_est_transvection():
nbErreur = 0
for i in range(2, 20):
lig = random.randint(0, i-1)
col = random.randint(0, i-1)
while col == lig :
col = random.randint(0, i-1)
a = random.randint(1, 10)
mat = transvection.matrice_transvection(lig, a, col, i)
if not transvection.est_transvection(mat):
nbErreur += 1
print "Erreur lors du test de est_transvection(", mat , ")"
listeMatrice = []
listeResultAttendu = []
listeMatrice.append([[1,0,0],[0,1,0],[0,0,1]])
listeResultAttendu.append(False)
listeMatrice.append([[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]])
listeResultAttendu.append(False)
listeMatrice.append([[0,0],[0,0]])
listeResultAttendu.append(False)
listeMatrice.append([[1,0],[1,0]])
listeResultAttendu.append(False)
listeMatrice.append([[1,1,1],[0,1,0],[0,0,1]])
listeResultAttendu.append(False)
listeMatrice.append([[1,1,0],[0,1,0],[0,0,0]])
listeResultAttendu.append(False)
for i, mat in enumerate(listeMatrice):
if not transvection.est_transvection(mat) == listeResultAttendu[i]:
nbErreur += 1
print "Erreur lors du test de est_transvection(", mat , "). Le resutat attendu est", listeResultAttendu[i]
return nbErreur
def test_transvection_associee():
nbErreur = 0
for i in range(2, 20):
lig = random.randint(0, i-1)
col = random.randint(0, i-1)
while col == lig :
col = random.randint(0, i-1)
a = random.randint(1, 10)
mat = transvection.matrice_transvection(lig, a, col, i)
upletT = transvection.transvection_associee(mat)
if not all([upletT[0] == lig, upletT[1] == a, upletT[2] == col, upletT[3] == i]):
nbErreur += 1
print "Erreur lors du test de transvection_associee(", mat, ")"
return nbErreur
def test_matrice_transvection():
nbErreur = 0
for i in range(2,20):
lig = random.randint(0, i-1)
col = random.randint(0, i-1)
a = random.randint(1, 10)
while col == lig :
col = random.randint(0, i-1)
mat = transvection.matrice_transvection(lig, a, col, i)
resLig =[j for j in range(len(mat)) if mat[j].count(0) != len(mat)-1][0]
resCol =[j for j in range(len(mat)) if mat[resLig][j] != 0 and j != resLig][0]
resTaille = len(mat)
resA = mat[resLig][resCol]
if not all([resLig == lig, resCol == col, resTaille == i, resA == a]):
nbErreur += 1
print "Erreur lors du test de matrice_transvection(", lig, ",", a, ",", col, ",", i, ")"
return nbErreur
def test_produit_transvection_g():
nbErreur = 0
for i in range(2,20):
mat = permutation.matrice_aleatoire(i);
matSave = [lig[:] for lig in mat]
j = random.randint(0,i-1)
k = random.randint(0,i-1)
alpha = random.randint(-10, 10)
while(k==j):
k=random.randint(0,i-1)
mTransvec = transvection.matrice_transvection(j, alpha, k, i)
mat = transvection.produit_transvection_g(mTransvec, mat)
if not(all([(mat[j][l] == matSave[j][l]+matSave[k][l]*alpha) for l in range(len(mat))])):
print "erreur lors du test de :"
print "mat = ", matSave
print "i =", j
print "j =", k
print "alpha =", alpha
print ""
nbErreur +=1
return nbErreur
