def distributive_property(term1: Term) -> (Term, bool):
""" x*x*(1+3) --> x*x*1 + x*x*3 """
for i, child in enumerate(term1.children):
# look for sum, if found use distributive property
if child.label == ADD:
term1.children.pop(i) # remove that sum, whats left are the terms from product to be distributed
return Term(ADD, [Term(MUL, children=[summand] + [Term.copy(child) for child in term1.children]) for summand in child.children]), True
else: # not found a sum among children
return term1, False
def tan_derivative(term1: Term, rules) -> Term:
"""rule for differentiating tangens:
(tan(u))' = u' + u'*(tan(u))^2"""
arg = Term.copy(term1.children[0])
return Term(ADD, [
calculate_derivative(arg, rules),
Term(MUL,
[calculate_derivative(arg, rules),
Term(POW, [term1, Term(2)])])
])
def get_children_copy(self):
""" try_to_simplify acts on a copy of children, because usually it needs to reverse the changes. """
return [Term.copy(child) for child in self.term.children]
