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lexer.py
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from tokens import Token, TokenType
from math import pi, e
WHITESPACE = ' \n\t'
DIGITS = '0123456789'
special_numbers = {"π": pi, "e": e}
constant = tuple(special_numbers.keys())
def format_and_verify_expression(expression):
counter = 0
parens_counter = 0
operator = ("+", '-', '*', '/')
expression_l = list(expression.replace(' ',''))
if expression_l[0] == '-':
expression_l.insert(0, '0')
expression_length = len(expression_l)
while counter < expression_length:
if expression_l[counter] == '(':
parens_counter += 1
if counter < expression_length - 1 and expression_l[counter + 1] == ')':
raise Exception("Invalid expression")
if counter > 0 and (expression_l[counter - 1].isdigit() or expression_l[counter - 1].isalpha()):
expression_l.insert(counter, '*')
expression_length += 1
counter += 1
elif expression_l[counter] == ')':
parens_counter -= 1
if parens_counter < 0:
raise Exception("Parens issue")
if counter < expression_length - 1:
if expression_l[counter + 1].isdigit() or expression_l[counter + 1].isalpha() or \
expression_l[counter + 1] == '(':
expression_l.insert(counter + 1, '*')
expression_length += 1
elif expression_l[counter].isdigit() or expression_l[counter].isalpha():
if counter < expression_length - 1 and expression_l[counter + 1].isalpha():
expression_l.insert(counter + 1, '*')
expression_length += 1
if counter > 0 and expression_l[counter - 1].isalpha():
expression_l.insert(counter, '*')
expression_length += 1
elif expression_l[counter] in operator:
if (counter < expression_length - 1 and expression_l[counter + 1] == ')') or (
counter > 0 and expression_l[counter - 1] == '('):
raise Exception("Invalid expression")
counter += 1
if parens_counter != 0:
raise Exception("Invalid parens")
return expression_l
class Lexer:
def __init__(self, text):
self.text = iter(format_and_verify_expression(text))
self.advance()
def advance(self):
try:
self.current_char = next(self.text)
except StopIteration:
self.current_char = None
@property
def generate_tokens(self):
while self.current_char is not None:
if self.current_char in WHITESPACE:
self.advance()
elif self.current_char in constant:
token = Token(TokenType.NUMBER, {'constant': special_numbers[self.current_char], 'variables': []})
self.advance()
yield token
elif self.current_char == '.' or self.current_char in DIGITS:
yield self.generate_number()
elif self.current_char.isalpha():
token = Token(TokenType.NUMBER, {'constant': 0.0, 'variables': [{'name': self.current_char, 'coef': 1, 'variable': {self.current_char: 1}}]})
self.advance()
yield token
elif self.current_char == '+':
self.advance()
yield Token(TokenType.PLUS)
elif self.current_char == '-':
self.advance()
yield Token(TokenType.MINUS)
elif self.current_char == '*':
self.advance()
yield Token(TokenType.MULTIPLY)
elif self.current_char == '/':
self.advance()
yield Token(TokenType.DIVIDE)
elif self.current_char == '(':
self.advance()
yield Token(TokenType.LPAREN)
elif self.current_char == ')':
self.advance()
yield Token(TokenType.RPAREN)
else:
raise Exception(f"Illegal character '{self.current_char}'")
def generate_number(self):
decimal_point_count = 0
number_str = self.current_char
self.advance()
while self.current_char is not None and (self.current_char == '.' or self.current_char in DIGITS):
if self.current_char == '.':
decimal_point_count += 1
if decimal_point_count > 1:
break
number_str += self.current_char
self.advance()
if number_str.startswith('.'):
number_str = '0' + number_str
if number_str.endswith('.'):
number_str += '0'
return Token(TokenType.NUMBER, {'constant': float(number_str), 'variables': []})