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import random
class PolynomialTerm:
def __init__(self):
self.n = None
self.p = None
def __str__(self):
return f"{self.n if self.n != 1 else ''}x^{self.p}"
def fromexpr(self, txt: str):
if txt[0] == 'x':
txt = '1'+ txt
#print(f"received {txt}")
l = txt.split("x^")
if len(l) != 2:
raise ValueError(l)
n_str: str = l[0]
p_str: str = l[1]
if (not n_str.isnumeric()) or (not p_str.isnumeric()):
raise ValueError(n_str)
self.n = int(n_str)
self.p = int(p_str)
return
class Polynomial:
def __init__(self):
return
def _clean(self):
for i in range(len(self.terms)):
for j in range(i+1, len(self.terms) - 1):
if self.terms[i].p == self.terms[j].p:
self.terms[i].n += self.terms[j].n
del self.terms[j]
self.terms.sort(key=lambda x: x.p)
def fromexpr(self, strexpr: str):
#print(f"building with {strexpr}")
self.terms = []
for strterm in strexpr.split("+"):
t = PolynomialTerm()
t.fromexpr(strterm)
self.terms.append(t)
self._clean()
def __str__(self):
return "+".join(list(map(lambda term: str(term), self.terms)))
def mul(self, other_poly):
poly = Polynomial()
ts = []
for t1 in self.terms:
for t2 in other_poly.terms:
nt = PolynomialTerm()
nt.n = t1.n * t2.n
nt.p = t1.p + t2.p
ts.append(nt)
poly.terms = ts
poly._clean()
return poly
def test(limit: int):
for i in range(10):
p1 = Polynomial()
p2 = Polynomial()
str1 = ""
str2 = ""
n1 = random.randint(1, limit)
n2 = random.randint(1, limit)
for i in range(n1):
str1 += f"{random.randint(1, 10)}x^{random.randint(1, 10)}" + ("+" if i != n1-1 else "")
#print(str1)
for i in range(n2):
str2 += f"{random.randint(1, 10)}x^{random.randint(1, 10)}" + ("+" if i != n2-1 else "")
p1.fromexpr(str1)
p2.fromexpr(str2)
print(f"({p1}) * ({p2}) = {p1.mul(p2)}")
if __name__ == "__main__":
test(3)
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