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arithmetic_expression.py
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import inspect
import operator
from itertools import pairwise
from math import factorial
# METHOD 1
class Reader:
def __init__(self, text):
self.text = text
self.pos = 0
def is_end(self):
return self.pos == len(self.text)
def read(self):
if value := self.peek():
self.pos += 1
return value
def peek(self):
if self.is_end():
return None
return self.text[self.pos]
class LoggerContext:
def __init__(self, logger, context):
self.logger = logger
self.context = context
def __enter__(self):
self.logger.contexts.append((self.logger.reader.pos, self.context))
print(self.logger, "enter")
return self
def __exit__(self, exc_type, exc_val, exc_tb):
print(self.logger, "exit")
self.logger.contexts.pop()
class Logger:
def __init__(self, reader):
self.contexts = []
self.reader = reader
_read = reader.read
def read():
print(self, f"[{reader.peek()}]")
ch = _read()
return ch
self.reader.read = read
def __call__(self, context):
return LoggerContext(self, context)
def __str__(self):
return self.contexts[0][1] + "".join(
" " * (c[0] - p[0]) + c[1] for p, c in pairwise(self.contexts)
)
def analyze1(expression):
data = Reader("(" + expression + ")")
logger = Logger(reader=data)
def consume_not():
with logger("!"):
negate = False
while data.peek() == "!":
assert data.read() == "!"
negate = not negate
return negate != consume_brackets()
def consume_brackets():
with logger("b"):
if data.peek() == "(":
assert data.read() == "("
value = consume_or()
assert data.read() == ")"
return value
assert data.peek() in "01"
return data.read() == "1"
def consume_and():
with logger("&"):
value = consume_not()
while data.peek() == "&":
assert data.read() == "&"
value2 = consume_and()
value = value and value2
return value
def consume_or():
with logger("|"):
value = consume_and()
while data.peek() in "|^":
op = data.read()
next_value = consume_and()
value = (value or next_value) if op == "|" else (value != next_value)
return value
return int(consume_brackets())
# METHOD 2
class PostfixConverter:
def __init__(
self,
operator_order: list = None,
brackets: str = "()[]{}",
whitespace: str = " ",
unary: str = "",
):
self.whitespace = whitespace
self.open = {brackets[i]: brackets[i + 1] for i in range(0, len(brackets), 2)}
self.close = {brackets[i + 1]: brackets[i] for i in range(0, len(brackets), 2)}
operator_order = operator_order or []
precedence = {}
for p, ops in enumerate(reversed(operator_order)):
for op in ops:
precedence[op] = p
for op in self.open:
precedence[op] = -1
self.precedence = precedence
self.precedence_unary = {u: len(operator_order) for u in unary}
def convert(self, expression) -> list:
stack = []
prefix_context = True
for ch in expression:
if ch in self.whitespace:
continue
if ch in self.open:
stack.append(ch)
prefix_context = True
continue
if ch in self.close:
if stack and stack[-1] is None:
stack.pop()
while stack[-1] not in self.open:
yield stack.pop()
if self.open[stack.pop()] != ch:
raise ValueError("Mismatched bracket")
prefix_context = False
continue
if prefix_context:
yield None
if prefix_context and ch in self.precedence_unary:
p = self.precedence_unary[ch]
elif ch in self.precedence:
p = self.precedence[ch]
else:
yield ch
prefix_context = False
continue
if prefix_context:
while stack and p < self.precedence[stack[-1]]:
yield stack.pop()
else:
while stack and p <= self.precedence[stack[-1]]:
yield stack.pop()
stack.append(ch)
prefix_context = True
if prefix_context:
yield None
yield from stack[::-1]
def eval_postfix(seq, ops: dict):
stack = []
try:
for ch in seq:
op = ops[ch]
arity = sum(
p.default == inspect.Parameter.empty
for p in inspect.signature(op).parameters.values()
)
if arity:
stack[-arity:] = [op(*stack[-arity:])]
else:
stack.append(op())
return stack.pop()
finally:
if stack:
raise ValueError("Unexpected values left in stack")
DIGITS = {str(n): lambda x, y=n: 10 * x + y for n in range(10)}
DIGITS[None] = lambda: 0
ALL_OPS = {
**DIGITS,
"+": operator.add,
"-": operator.sub,
"*": operator.mul,
"/": operator.truediv,
"%": operator.mod,
"&": operator.and_,
"|": operator.or_,
"^": operator.xor,
"~": operator.invert,
"!": lambda x, y: factorial(x) if x else (1 - y),
}
def analyze2(expression):
arithmetics = PostfixConverter(["!", "*/&|%", "+-"])
return eval_postfix(arithmetics.convert(expression), ALL_OPS)
if __name__ == "__main__":
while e := input():
print(analyze2(e))