hw2.py

@@ -1,121 +0,0 @@
-import sys
-import ast
-import operator
-from fractions import gcd
-
-class Polynomial():
-    def __init__(self, lst, mod):
-        super().__init__()
-        self.poly = list(map(lambda x: x % mod, lst))    
-        self.mod = mod
-        self.normalize()
-    def normalize(self):
-        while self.poly and self.poly[-1] == 0:
-            self.poly.pop() 
-
-    def arithm(self, p1, p2, op):
-        len_p1, len_p2= len(p1.poly), len(p2.poly)
-        res = [0] * max(len_p1, len_p2)
-        if len_p1 > len_p2:
-            for _ in range(len_p1-len_p2):
-                p2.poly.append(0)
-        else:
-            for _ in range(len_p2-len_p1):
-                p1.poly.append(0)
-
-        for i in range(len(res)):
-            res[i] = op(p1.poly[i], p2.poly[i]) % self.mod
-        return Polynomial(res, self.mod)
-
-    def __add__(self, p2):
-        return self.arithm(self, p2, operator.add)
-
-    def __sub__(self, p2):
-        return self.arithm(self, p2, operator.sub)
-
-    def __mul__(self, p2):
-        res = [0]*(len(self.poly)+len(p2.poly)-1)
-        for i, x1 in enumerate(self.poly):
-            for j, x2 in enumerate(p2.poly):
-                res[i+j] += x1 * x2 % self.mod
-        return Polynomial(res, self.mod)
-    
-    def __truediv__(self, p2):
-        p1 = self
-        m = self.mod
-        
-        if len(p1.poly) < len(p2.poly):
-            return p1
-        
-        if len(p2.poly) == 0:
-            raise ZeroDivisionError
-            
-        divisor_coeff = p2.poly[-1]
-        divisor_exp = len(p2.poly) - 1 
-        while len(p1.poly) >= len(p2.poly):   
-            max_coeff_p1 = p1.poly[-1] #wspolczynnik przy najwyzszej potedze
-            try:
-              tmp_coeff = modDiv(max_coeff_p1, divisor_coeff, m)
-            except ZeroDivisionError as e:
-                raise e
-            
-            tmp_exp = len(p1.poly)-1 - divisor_exp
-            '''tmp to pomocniczy wielomian o reprezentacji [0, 0, .., c^n], gdzie c^n to
-            mnożnik w danym kroku algorytmu dzielenia w słupku. 
-            Następnie mnożymy go z wielomianem-dzielnikiem (p2) i
-            odejmujemy (sub) od wielomianu-dzielnej (p1)'''
-            tmp = []
-            for i in range(tmp_exp):
-                tmp.append(0)
-            tmp.append(tmp_coeff)
-            sub = Polynomial(tmp, m) * p2
-            p1 = p1 - sub
-            p1.normalize() #obcinamy zbędne zera dopisane do wielomianu podczas odejmowania
-        return Polynomial(p1.poly, m)
-
-    def poly_gcd(self, p2):
-        p1 = self
-        try:
-            divisible = p2
-        except ZeroDivisionError as e:
-            raise e
-        if p2.poly == []:
-            return p1
-        return p2.poly_gcd(p1 / p2)
-
-def modDiv(a, b, m): # a*b^-1 (mod m)
-    if gcd(b, m) != 1:
-        raise ZeroDivisionError
-    else:
-        return (a * modinv(b, m)) % m
-
-#rozszerzony algorytm euklidesa
-def egcd(a, b):
-    if a == 0:
-        return (b, 0, 1)
-    else:
-        g, y, x = egcd(b % a, a)
-        return (g, x - (b // a) * y, y)
-
-def modinv(a, m):
-    g, x, y = egcd(a, m)
-    return x % m
-
-def main():
-    n, p1, p2 = int(sys.argv[1]), ast.literal_eval(sys.argv[2]), ast.literal_eval(sys.argv[3])
-    P1 = Polynomial(p1, n)
-    P2 = Polynomial(p2, n)
-    mul = (P1 * P2).poly
-    try:
-        div = (P1 / P2).poly
-    except ZeroDivisionError as e:
-        div = e
-    try:    
-        gcd = P1.poly_gcd(P2).poly
-    except ZeroDivisionError as e:
-        gcd = e
-    print([mul, div, gcd])
-    
-    
-if __name__ == '__main__':
-    main()