Created
April 20, 2019 07:12
Given arithmetic equation, 2+(3-1)*4/(5-6), write the program to calculate the result of the equation.
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class ComputeExpression: | |
def is_number(self, number): | |
return number.isdigit() | |
def is_op(self, oprand): | |
return oprand == '+' or oprand == '-' or oprand == '/' or oprand =='*' or oprand == ')' or oprand == '(' | |
def is_left_parenthesis(self, oprand): | |
return oprand == '(' | |
def is_plus_minus(self, oprand): | |
return oprand == '+' or oprand == '-' | |
def is_multiple_or_divide(self, oprand): | |
return oprand == '/' or oprand == '*' | |
def parse(self, expression): | |
self.op = [] | |
self.numbers = [] | |
pos = len(expression) -1 | |
number = '' | |
while pos >= 0: | |
next = expression[pos] | |
if self.is_number(next) is True: | |
number = next + number | |
elif self.is_op(next) is True: | |
if len(number) > 0: | |
self.numbers.append(int(number)) | |
number = '' | |
self.handle_op(next) | |
pos -= 1 | |
if len(number) > 0 : | |
self.numbers.append(int(number)) | |
while(len(self.op) > 0): | |
next_op = self.op.pop() | |
lvalue = self.numbers.pop() | |
rvalue = self.numbers.pop() | |
result = self.compute(next_op, lvalue, rvalue) | |
self.numbers.append(result) | |
return self.numbers[0] | |
def handle_op(self, cur_op): | |
if self.is_left_parenthesis(cur_op) is True: | |
self.compute_in_parenthesis() | |
return | |
if self.is_plus_minus(cur_op) is True and len(self.op) > 0 and self.is_multiple_or_divide(self.op[-1]) is True: | |
#compute previous plus and minue ops first before adding current multiple/divide op | |
while len(self.op) > 0: | |
cur = self.op[-1] | |
if self.is_multiple_or_divide(cur) != True: | |
break | |
lvalue = self.numbers.pop() | |
rvalue = self.numbers.pop() | |
result = self.compute(cur, lvalue, rvalue) | |
self.numbers.append(result) | |
self.op.pop() | |
self.op.append(cur_op) | |
def compute_in_parenthesis(self): | |
#compute all ops until right ')' | |
while len(self.op) > 0: | |
cur = self.op[-1] | |
if cur == ')': | |
self.op.pop() | |
break | |
lvalue = self.numbers.pop() | |
rvalue = self.numbers.pop() | |
result = self.compute(cur, lvalue, rvalue) | |
self.numbers.append(result) | |
self.op.pop() | |
def compute(self, oprand, lvalue, rvalue): | |
if (oprand == '+'): | |
return lvalue + rvalue | |
elif (oprand == '-'): | |
return lvalue - rvalue | |
elif (oprand == '*'): | |
return lvalue * rvalue | |
elif (oprand == '/'): | |
return lvalue / rvalue | |
return None | |
c = ComputeExpression() | |
expr ="2+(3-1)*4/(5-6)" | |
print("%s = %d" % (expr, c.parse(expr))) | |
expr ="24+3*14-2" | |
print("%s = %d" % (expr, c.parse(expr))) | |
expr ="2+(3-1*1-2)*4/(5-6)" | |
print("%s = %d" % (expr, c.parse(expr))) |
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