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For_Loops.py
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from dataclasses import dataclass, field
from fractions import Fraction
from typing import List, Union, Mapping
@dataclass
class NumLiteral:
value: Fraction
def __init__(self, *args):
self.value = Fraction(*args)
@dataclass
class BinOp:
operator: str
left: 'AST'
right: 'AST'
# @dataclass(unsafe_hash=True)
# class Variable:
# name: str = field(hash=True)
# def __hash__(self):
# return hash(self.name)
@dataclass
class Put:
var: 'AST'
e1: 'AST'
@dataclass
class Get:
var: 'AST'
@dataclass(unsafe_hash=True)
class Variable:
name: str
# def eval(self, environment: Environment) -> Union[int, Fraction]:
# if self.name in environment:
# return environment[self.name]
# raise InvalidProgram()
@dataclass
class Let:
var: 'AST'
e1: 'AST'
e2: 'AST'
@dataclass
class Print:
def __init__(self, exp: "AST"):
self.exp = exp
@dataclass
class ForLoop:
var_name: str
start: Union[NumLiteral, Variable]
end: Union[NumLiteral, Variable]
body: 'AST'
@dataclass
class While:
condition: 'AST'
body: 'AST'
AST = NumLiteral | BinOp | Variable | Let | Put | Get | ForLoop | While
Value = Fraction | NumLiteral
class InvalidProgram(Exception):
pass
class Environment:
envs: List
def __init__(self) -> None:
self.envs = [{}]
def enter_scope(self):
self.envs.append({})
def exit_scope(self):
assert self.envs
self.envs.pop()
def add(self, name, value):
assert name not in self.envs[-1]
self.envs[-1][name] = value
def get(self, name):
for env in reversed(self.envs):
if name in env:
return env[name]
raise KeyError()
def update(self, name, value):
for env in reversed(self.envs):
if name in env:
env[name] = value
return
raise KeyError()
def eval(program: AST, environment: Environment = None) -> Value:
if environment is None:
environment = Environment()
def eval_(program):
return eval(program, environment)
match program:
case NumLiteral(value):
return value
case Variable(name):
return environment.get(name)
case Let(Variable(name), e1, e2):
v1 = eval_(e1)
environment.enter_scope()
environment.add(name, v1)
v2 = eval_(e2)
environment.exit_scope()
return v2
case BinOp("+", left, right):
return eval_(left) + eval_(right)
case BinOp("-", left, right):
return eval_(left) - eval_(right)
case BinOp("*", left, right):
return eval_(left) * eval_(right)
case BinOp("/", left, right):
return eval_(left) / eval_(right)
case BinOp(">", left, right):
return eval_(left) > eval_(right)
case BinOp("<", left, right):
return eval_(left) < eval_(right)
case BinOp("==", left, right):
return eval_(left) == eval_(right)
case BinOp("<=", left, right):
return eval_(left) <= eval_(right)
case BinOp(">=", left, right):
return eval_(left) >= eval_(right)
case Put(Variable(name), e):
try:
environment.add(name, eval_(e))
except:
environment.update(name, eval_(e))
return environment.get(name)
case Get(Variable(name)):
return environment.get(name)
case ForLoop(var_name, start, end, body):
start_value = int(eval_(start))
# print(type(start_value))
end_value = int(eval_(end))
if start_value >= end_value:
raise InvalidProgram("Start value must be less than end value")
result = 0
environment.add(var_name, 0)
for i in range(start_value, end_value + 1):
environment.update(var_name, i)
environment.update(result, eval_(body))
print(result)
return result
case While(condition, body):
while eval_(condition) != 0:
eval_(body)
return None
case Print(exp):
value = eval_(exp)
print(value)
return value
raise InvalidProgram()
def test_for_loop():
e1 = NumLiteral(1)
e2 = NumLiteral(5)
e3 = BinOp("+", Variable("i"), e1)
e4 = BinOp("<=", Variable("i"), e2)
e5 = BinOp("*", Variable("result"), Variable("i"))
result = Variable("result")
i = Variable("i")
environment = Environment()
environment.enter_scope()
eval(Let(i, NumLiteral(1)), environment)
eval(Let(result, NumLiteral(1)), environment)
e6 = ForLoop(Variable("i"), e1, e2, Put(result, e5))
eval(e6, environment)
assert environment["result"] == NumLiteral(120)
def test_while_loop():
e1 = NumLiteral(1)
e2 = NumLiteral(5)
e3 = BinOp("<=", Variable("i"), e2)
e4 = BinOp("+", Variable("i"), e1)
e5 = BinOp("*", Variable("result"), Variable("i"))
e6 = BinOp("=", Variable("i"), e4)
e7 = BinOp("=", Variable("result"), e5)
e8 = While(e3, [e7, e6])
environment = {"i": e1, "result": NumLiteral(1)}
eval(e8, environment)
assert environment["result"] == NumLiteral(120)
test_for_loop()
# test_while_loop()