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calculator.py
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from dataclasses import dataclass
from enum import Enum
from typing import Generic, Optional, TypeVar
from exceptions import ArithmeticSyntaxError, InterpreterException
class Type(str, Enum):
NUMBER = "NUMBER"
PLUS = "PLUS"
MINUS = "MINUS"
MULT = "MULT"
DIV = "DIV"
WSPACE = "WSPACE"
@classmethod
def detect_type(cls, character: str):
if character.isdigit():
return cls.NUMBER
elif character.isspace():
return cls.WSPACE
elif character == "+":
return cls.PLUS
elif character == "-":
return cls.MINUS
elif character == "*":
return cls.MULT
elif character == "/":
return cls.DIV
@dataclass
class Token:
value: str
type: Type
def get_priority(self):
priorities = {
"+": 1,
"-": 2,
"*": 3,
"/": 3,
}
return priorities.get(self.value)
T = TypeVar("T") # Type variable for the data stored in the node
class BinaryTreeNode(Generic[T]):
def __init__(self, data: Token):
self.data: Token = data
self.left: Optional["BinaryTreeNode[T]"] = None
self.right: Optional["BinaryTreeNode[T]"] = None
@dataclass
class AbstractSyntaxTree:
root: BinaryTreeNode
class CalculatorInterpreter:
OPERATORS = {Type.DIV, Type.MINUS, Type.PLUS, Type.MULT}
def __init__(self) -> None:
# self.expr = arthmetic_expression
self.result = 0
self.tokens: list[Token] = []
self.digits_buffer: list[str] = []
def __str__(self):
return f"Arithmetic Expression : ==> {self.expr}\nTokens : ==> {self.tokens}"
def __consume_digits_buffer(
self,
):
if self.digits_buffer:
self.tokens.append(
Token(value=int("".join(self.digits_buffer)), type=Type.NUMBER)
)
self.digits_buffer = []
def __lexical_analysis(self):
for character in self.expr:
match Type.detect_type(character):
case Type.WSPACE:
self.__consume_digits_buffer()
continue
case Type.NUMBER:
self.digits_buffer.append(character)
case Type.DIV:
self.__consume_digits_buffer()
self.tokens.append(Token(value=character, type=Type.DIV))
case Type.MULT:
self.__consume_digits_buffer()
self.tokens.append(Token(value=character, type=Type.MULT))
case Type.MINUS:
self.__consume_digits_buffer()
self.tokens.append(Token(value=character, type=Type.MINUS))
case Type.PLUS:
self.__consume_digits_buffer()
self.tokens.append(Token(value=character, type=Type.PLUS))
case _:
self.__consume_digits_buffer()
raise InterpreterException
self.__consume_digits_buffer()
return self.tokens
def __syntax_analysis(self, tokens: list[Token]) -> BinaryTreeNode:
if len(self.tokens) % 2 == 0:
raise ArithmeticSyntaxError
if len(tokens) == 1:
return BinaryTreeNode(data=tokens[0])
lowest_priority = float("inf")
lowest_priority_index = None
for i in range(len(tokens) - 1, -1, -1):
if tokens[i].type in self.OPERATORS:
priority = tokens[i].get_priority()
if priority <= lowest_priority:
lowest_priority = priority
lowest_priority_index = i
root_node = BinaryTreeNode(tokens[lowest_priority_index])
root_node.left = self.__syntax_analysis(tokens=tokens[:lowest_priority_index])
root_node.right = self.__syntax_analysis(
tokens=tokens[lowest_priority_index + 1 :]
)
return root_node
def tree_walk(self, tree_root: BinaryTreeNode):
result = 0
if tree_root.data.type == Type.PLUS:
result = (
result
+ self.tree_walk(tree_root=tree_root.left)
+ self.tree_walk(tree_root=tree_root.right)
)
return result
elif tree_root.data.type == Type.MULT:
result = self.result + self.tree_walk(
tree_root=tree_root.left
) * self.tree_walk(tree_root=tree_root.right)
return result
elif tree_root.data.type == Type.DIV:
result = self.result + self.tree_walk(
tree_root=tree_root.left
) / self.tree_walk(tree_root=tree_root.right)
return result
elif tree_root.data.type == Type.MINUS:
result = (
self.result
+ self.tree_walk(tree_root=tree_root.left)
- self.tree_walk(tree_root=tree_root.right)
)
return result
elif tree_root.data.type == Type.NUMBER:
return tree_root.data.value
def interpret(self, arithmetic_expression: str):
self.tokens = []
self.expr = arithmetic_expression
tokens = self.__lexical_analysis()
self.abstract_syntax_tree = AbstractSyntaxTree(
root=self.__syntax_analysis(tokens=tokens)
)
return self.tree_walk(self.abstract_syntax_tree.root)