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calculator_extended.py
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from dataclasses import dataclass
from collections.abc import Iterator
from more_itertools import peekable
from pprint import pprint
from graphviz import Digraph # type: ignore
from typing import List
import sys
sys.setrecursionlimit(10000)
cnt = 0
def fresh():
global cnt
cnt = cnt + 1
return cnt
@dataclass
class AST:
pass
@dataclass
class BinOp(AST):
op: str
left: AST
right: AST
@dataclass
class Number(AST):
val: int | float
@dataclass
class UnOp(AST):
op: str
right: AST
@dataclass
class If(AST):
condition: AST
then_body: AST
else_body: AST
@dataclass
class Let(AST):
var: AST
e1: AST
e2: AST
@dataclass
class LetMut(AST):
var: str
e1: str
e2: str
@dataclass
class Variable(AST):
varName: str
id: int = None
# def make(name):
# return Variable(name, fresh())
@dataclass
class LetFun(AST):
name: AST # considering functions as first-class just like variables else it'll be str
params: List[AST]
body: AST
expr: AST
@dataclass
class CallFun(AST):
fn: AST # considering functions as first-class just like variables else it'll be str
args: List[AST]
@dataclass
class FunObj:
params: List[AST]
body: AST
class Environment:
envs: List
def __init__(self):
self.envs = [{}]
def enter_scope(self):
self.envs.append({})
def exit_scope(self):
assert self.envs
self.envs.pop()
def add(self, var, val):
assert var not in self.envs[-1], f"Variable {var} already defined"
self.envs[-1][var] = val
def get(self, var):
for env in reversed(self.envs):
if var in env:
return env[var]
raise ValueError(f"Variable {var} not defined")
def update(self, var, val):
for env in reversed(self.envs):
if var in env:
env[var] = val
return
raise ValueError(f"Variable {var} not defined")
def resolve(program: AST, env: Environment = None) -> AST:
if env is None:
env = Environment()
def resolve_(program: AST) -> AST:
return resolve(program, env)
match program:
case Variable(varName, _):
return Variable(varName, env.get(varName)) # This ask too! why sir did env.get(varName)
# return env.get(varName)
case Number(_) as N:
return N
case Let(Variable(varName, _), e1, e2):
re1 = resolve_(e1)
env.enter_scope()
env.add(varName, i := fresh())
re2 = resolve_(e2)
env.exit_scope()
return Let(Variable(varName, i), re1, re2)
case LetFun(Variable(varName, _), params, body, expr):
env.enter_scope()
env.add(varName, i := fresh())
env.enter_scope()
new_params = []
for param in params:
env.add(param.varName, j := fresh())
new_params.append(Variable(param.varName, j))
new_body = resolve_(body)
env.exit_scope()
new_expr = resolve_(expr)
env.exit_scope()
return LetFun(Variable(varName, i), new_params, new_body, new_expr)
case CallFun(fn, args):
rfn = resolve_(fn)
rargs = [resolve_(arg) for arg in args]
return CallFun(rfn, rargs)
case BinOp(op, left, right):
le = resolve_(left)
ri = resolve_(right)
return BinOp(op, le, ri)
case UnOp(op, right):
ri = resolve_(right)
return UnOp(op, ri)
case If(op, left, right):
op = resolve_(op)
le = resolve_(left)
ri = resolve_(right)
return If(op, le, ri)
def e(tree: AST, env: Environment = None) -> int | float | bool:
if env is None:
env = Environment()
def e_(tree: AST):
return e(tree, env)
match tree:
case Number(val):
# return float(val) if '.' in val else int(val)
return val
case Variable(varName, i):
return env.get(f"{varName}:{i}")
case Let(Variable(varName, i), e1, e2):
v1 = e_(e1)
env.enter_scope()
env.add(f"{varName}:{i}", v1)
v2 = e_(e2)
env.exit_scope()
return v2
case LetFun(Variable(varName, i), params, body, expr):
env.enter_scope()
# print(Variable(varName, i))
env.add(f"{varName}:{i}", FunObj(params, body))
# print(env.envs)
rexpr = e_(expr)
env.exit_scope()
return rexpr
case CallFun(Variable(varName, i), args):
# print(Variable(varName, i))
fun = env.get(f"{varName}:{i}")
rargs = []
for arg in args:
rargs.append(e_(arg))
env.enter_scope()
for param, arg in zip(fun.params, rargs):
env.add(f"{param.varName}:{param.id}", arg)
rbody = e_(fun.body)
env.exit_scope()
return rbody
case BinOp("+", left, right): return e_(left) + e_(right)
case BinOp("*", left, right): return e_(left) * e_(right)
case BinOp("/", left, right): return e_(left) / e_(right)
case BinOp("^", left, right): return e_(left) ** e_(right)
case BinOp("-", left, right): return e_(left) - e_(right)
case BinOp("<", left, right): return e_(left) < e_(right)
case BinOp(">", left, right): return e_(left) > e_(right)
case BinOp("<=", left, right): return e_(left) <= e_(right)
case BinOp(">=", left, right): return e_(left) >= e_(right)
case BinOp("=", left, right): return e_(left) == e_(right)
case BinOp("!=", left, right): return e_(left) != e_(right)
case BinOp("%", left, right): return e_(left) % e_(right)
case BinOp("||", left, right): return e_(left) or e_(right)
case BinOp("&&", left, right): return e_(left) and e_(right)
case UnOp("-", right): return -e_(right)
case UnOp("\u221a", right): return e_(right) ** 0.5 # Square root Symbol
case If(condition, then_body, else_body):
if e_(condition):
return e_(then_body)
else:
return e_(else_body)
class ParseErr(Exception):
pass
@dataclass
class StringLiteral(AST):
val: str
class Token:
pass
@dataclass
class NumberToken(Token):
val: str
@dataclass
class OperatorToken(Token):
op: str
@dataclass
class KeyWordToken(Token):
op: str
@dataclass
class VariableToken(Token):
varName: str
@dataclass
class FunCallToken(Token):
funName: str
def lex(s: str) -> Iterator[Token]:
i = 0
prev_token = None
while True:
while i < len(s) and s[i].isspace():
i += 1
if i >= len(s):
return
if s[i].isalpha():
start = i
while i < len(s) and s[i].isalpha():
i += 1
name = s[start:i]
if name in {"if", "then", "else", "end", "let", "in", "letFunc"}:
prev_token = KeyWordToken(name)
yield prev_token
# If preceded by `letFunc`, it's a function definition
elif isinstance(prev_token, KeyWordToken) and prev_token.op == "letFunc":
prev_token = VariableToken(name)
yield prev_token
# If followed by '(', it's a function call
elif i < len(s) and s[i] == "(":
prev_token = FunCallToken(name)
yield prev_token
else:
prev_token = VariableToken(name)
yield prev_token
elif s[i].isdigit():
start = i
while i < len(s) and (s[i].isdigit() or s[i] == '.'):
i += 1
prev_token = NumberToken(s[start:i])
yield prev_token
else:
if s[i:i+2] in {"<=", ">=", "!=", "||", "&&"}:
prev_token = OperatorToken(s[i:i+2])
yield prev_token
i += 2
elif s[i:i+2] == ":=":
prev_token = KeyWordToken(":=")
yield prev_token
i += 2
else:
match s[i]:
case '+' | '*' | '/' | '^' | '-' | '(' | ')' | '<' | '>' | '=' | '%' | '\u221a' | "," | "{" | "}":
prev_token = OperatorToken(s[i])
yield prev_token
i += 1
case _:
raise ParseErr(f"Unexpected character: {s[i]} at position {i}")
def parse(s: str) -> AST:
t = peekable(lex(s))
i = 0
def consume(expected_type=None, expected_value=None):
nonlocal i
token = next(t, None)
if token is None:
raise ParseErr(f"Unexpected end of input at index {i}")
if expected_type and not isinstance(token, expected_type):
raise ParseErr(f"Expected {expected_type.__name__} at index {i}, got {type(token).__name__}")
if expected_value:
actual_value = getattr(token, "op", None) or getattr(token, "varName", None) or getattr(token, "val", None)
if actual_value != expected_value:
raise ParseErr(f"Expected '{expected_value}' at index {i}, got '{actual_value}'")
i += 1
return token
def peek():
return t.peek(None)
def parse_func():
match peek():
case KeyWordToken("letFunc"):
consume(KeyWordToken, "letFunc")
func_name = consume(VariableToken)
consume(OperatorToken, "(")
args = []
if peek() != OperatorToken(")"):
while True:
args.append(parse_let())
if peek() == OperatorToken(","):
consume(OperatorToken, ",")
else:
break
consume(OperatorToken, ")")
consume(OperatorToken, "{")
body = parse_func()
consume(OperatorToken, "}")
consume(KeyWordToken, "in")
call = parse_func()
print(call)
consume(KeyWordToken, "end")
return LetFun(Variable(func_name.varName), args, body, call)
case _:
return parse_let()
def parse_let():
match peek():
case KeyWordToken("let"):
consume(KeyWordToken, "let")
var = Variable(consume(VariableToken).varName)
consume(KeyWordToken, ":=")
e1 = parse_func()
consume(KeyWordToken, "in")
e2 = parse_func()
consume(KeyWordToken, "end")
return Let(var, e1, e2)
case _:
return parse_if()
def parse_if():
match peek():
case KeyWordToken("if"):
consume(KeyWordToken, "if")
condition = parse_func()
consume(KeyWordToken, "then")
then_body = parse_func()
consume(KeyWordToken, "else")
else_body = parse_func()
return If(condition, then_body, else_body)
case _:
return parse_bool()
def parse_bool():
ast = parse_comparison()
while True:
match peek():
case OperatorToken("||"):
consume()
ast = BinOp("||", ast, parse_comparison())
case OperatorToken("&&"):
consume()
ast = BinOp("&&", ast, parse_comparison())
case _:
return ast
def parse_comparison():
ast = parse_add()
match peek():
case OperatorToken(op) if op in {"<", ">", "<=", ">=", "=", "!="}:
consume()
return BinOp(op, ast, parse_add())
case _:
return ast
def parse_add():
ast = parse_mul()
while True:
match peek():
case OperatorToken('+'):
consume()
ast = BinOp('+', ast, parse_mul())
case OperatorToken('-'):
consume()
ast = BinOp('-', ast, parse_mul())
case OperatorToken("%"):
consume()
ast = BinOp("%", ast, parse_mul())
case _:
return ast
def parse_mul():
ast = parse_exponentiation()
while True:
match peek():
case OperatorToken('*'):
consume()
ast = BinOp("*", ast, parse_exponentiation())
case OperatorToken('/'):
consume()
ast = BinOp("/", ast, parse_exponentiation())
case _:
return ast
def parse_exponentiation():
ast = parse_atom()
while True:
match peek():
case OperatorToken('^'):
consume()
ast = BinOp("^", ast, parse_exponentiation())
case _:
return ast
def parse_atom():
match peek():
case NumberToken(v):
consume()
val = float(v) if '.' in v else int(v)
return Number(val)
case VariableToken(varName):
consume()
return Variable(varName)
case FunCallToken(_):
fn_name = consume(FunCallToken).funName
consume(OperatorToken, "(")
args = []
if peek() != OperatorToken(")"):
while True:
args.append(parse_let())
if peek() == OperatorToken(","):
consume(OperatorToken, ",")
else:
break
consume(OperatorToken, ")")
return CallFun(Variable(fn_name), args)
case OperatorToken('-'):
consume()
return UnOp("-", parse_atom())
case OperatorToken('\u221a'):
consume()
return UnOp("\u221a", parse_atom())
case OperatorToken("("):
consume()
ast = parse_add()
consume(OperatorToken, ")")
return ast
case _:
raise ParseErr(f"Unexpected token at index {i}")
return parse_func()
exp = Let(Variable("a"), Number("3"),
Let(Variable("b"), BinOp("+", Variable("a"), Number("2")),
BinOp("+", Variable("a"), Variable("b"))))
# exp = Let(Variable("a"), Number("3"), BinOp("+", Variable("a"), Variable("a")))
expL = "let a be 3 in let b be a + 2 in a + b end end"
# expL = "let a be 3 in a + a end"
exp = LetFun(Variable("f"),
[Variable("x")],
BinOp("+", Variable("x"), Number("1")),
CallFun(Variable("f"), [Number("2")]))
# letFunc f(x) be
# x + 1
# in
# f(2)
exp = LetFun(Variable("fact"),
[Variable("n")],
If(BinOp("=", Variable("n"), Number("0")),
Number("1"),
Let(Variable("x"),
CallFun(Variable("fact"), [BinOp("-", Variable("n"), Number("1"))]),
BinOp("*", Variable("n"), Variable("x")))
),
CallFun(Variable("fact"), [Number("5")]))
## PROJECT EULER 1
exp = LetFun(Variable("func"),
[Variable("x"), Variable("s")],
If(BinOp("=", Variable("x"), Number("1000")),
Variable("s"),
If(BinOp("||", BinOp("=", BinOp("%", Variable("x"), Number("3")), Number("0")), BinOp("=", BinOp("%", Variable("x"), Number("5")), Number("0"))),
CallFun(Variable("func"), [BinOp("+", Variable("x"), Number("1")), BinOp("+", Variable("s"), Variable("x"))]),
CallFun(Variable("func"), [BinOp("+", Variable("x"), Number("1")), Variable("s")])
)
),
CallFun(Variable("func"), [Number("0"), Number("0")]))
## PROJECT EULER 2
exp = LetFun(Variable("fib_sum"),
[Variable("a"), Variable("b"), Variable("s")],
If(BinOp(">=", Variable("a"), Number("4000000")),
Variable("s"),
If(BinOp("=", BinOp("%", Variable("a"), Number("2")), Number("0")),
CallFun(Variable("fib_sum"), [Variable("b"), BinOp("+", Variable("a"), Variable("b")), BinOp("+", Variable("s"), Variable("a"))]),
CallFun(Variable("fib_sum"), [Variable("b"), BinOp("+", Variable("a"), Variable("b")), Variable("s")])
)
),
CallFun(Variable("fib_sum"), [Number("0"), Number("1"), Number("0")]))
# pprint(exp)
# print()
# res_exp = resolve(exp)
# pprint(res_exp)
# print()
# pprint(e(res_exp))
# Euler Problem 1
exp = """
letFunc func(x, s)
{
if x = 1000 then
s
else if x % 3 = 0 || x % 5 = 0 then
func(x + 1, s + x)
else
func(x + 1, s)
}
in
func(0, 0)
end
"""
# Euler Problem 2
exp = """
letFunc fib(a, b, s)
{
if a >= 4000000 then
s
else if a % 2 = 0 then
fib(b, a + b, s + a)
else
fib(b, a + b, s)
}
in
fib(0, 1, 0)
end
"""
# Factorial
exp = """
letFunc fact(n)
{
if n = 0 then
1
else
let x := fact(n - 1) in
n * x
end
}
in
fact(5)
end
"""
# Fixed this -> added CallFun at the highest precedence in parse_atom()
exp = """
letFunc f(a)
{
a + a
}
in
f(2) + f(3)
end
"""
exp = """
let x := 5 in
letFunc f(y) {
x
}
in
letFunc g(z) {
let x := 6
in f(z)
end
}
in
g(0)
end
end
end
"""
exp = """
letFunc f(x)
{
x ^ 2
}
in
letFunc g(f, y)
{
f(y) + y
}
in
g(f, 3)
end
end
"""
exp = """
letFunc f(x)
{
x * 7
}
in
let g := f in
let h := g in
h(3)
end
end
end
"""
exp = """
letFunc g()
{
let x := 5 in
letFunc f()
{
let x := 6 in
x
end
}
in
f()
end
end
}
in
g()
end
"""
# Wanted something like this -> but need print statement
# def g():
# x = 5
# def f():
# x = 6
# print(x)
# f()
# print(x)
# g()
for t in lex(exp):
print(t)
pprint(parse(exp))
print()
rexp = resolve(parse(exp))
pprint(rexp)
print()
print(e(rexp))
# exit()