CODE-0006 · claude-opus-4-8 (max)Both files are written to `/workspace/.repos/yardstick/runs/bench-opus48-max/outbox/CODE-0006/`. The solution passes all tests. Per the instructions, my final message is the raw content of the requested output file `solution.py`.
"""Evaluate an arithmetic expression given as a string.
A small, self-contained recursive-descent parser. No ``eval``/``exec`` and no
expression-parsing library is used; only the Python standard library.
Grammar (whitespace between tokens is ignored)::
expr := term (('+' | '-') term)*
term := factor (('*' | '/') factor)*
factor := ('+' | '-') factor | '(' expr ')' | number
number := digits | digits '.' [digits] | '.' digits
``+`` and ``-`` are lower precedence than ``*`` and ``/``; all four binary
operators are left associative; unary ``+``/``-`` bind tighter than the binary
operators and may stack (``--5`` == ``5``). ``/`` is true division. A result that
is an exact integer value is returned as ``int``; otherwise as ``float``.
"""
# Token kinds.
_NUM = "NUM"
_PLUS = "+"
_MINUS = "-"
_MUL = "*"
_DIV = "/"
_LPAR = "("
_RPAR = ")"
_OPERATOR_CHARS = {
"+": _PLUS,
"-": _MINUS,
"*": _MUL,
"/": _DIV,
"(": _LPAR,
")": _RPAR,
}
_NUMBER_CHARS = "0123456789."
def _tokenize(s):
"""Split ``s`` into a list of ``(kind, value)`` tokens.
Whitespace is skipped. Numbers are contiguous runs of digits/dots and are
validated (at least one digit, at most one dot). Any other character is an
unknown token. Raises ``ValueError`` on a malformed number or unknown
character.
"""
tokens = []
i = 0
n = len(s)
while i < n:
ch = s[i]
# Ignore any whitespace between tokens.
if ch.isspace():
i += 1
continue
# Single-character operators and parentheses.
kind = _OPERATOR_CHARS.get(ch)
if kind is not None:
tokens.append((kind, ch))
i += 1
continue
# Number literal: greedily consume digits/dots, then validate so that a
# lone '.' or something like '1.2.3' is rejected as malformed.
if ch in _NUMBER_CHARS:
start = i
while i < n and s[i] in _NUMBER_CHARS:
i += 1
literal = s[start:i]
tokens.append((_NUM, _parse_number(literal)))
continue
raise ValueError("unknown token: %r" % ch)
return tokens
def _parse_number(literal):
"""Turn a number literal string into an ``int`` (no dot) or ``float``.
Validates structure: at least one digit and at most one decimal point.
"""
if literal.count(".") > 1 or not any(c.isdigit() for c in literal):
raise ValueError("malformed number: %r" % literal)
if "." in literal:
return float(literal)
return int(literal)
class _Parser:
"""Recursive-descent parser over a token list with a position cursor."""
def __init__(self, tokens):
self._tokens = tokens
self._pos = 0
def _peek(self):
if self._pos < len(self._tokens):
return self._tokens[self._pos]
return None
def _advance(self):
token = self._tokens[self._pos]
self._pos += 1
return token
def parse(self):
"""Parse a complete expression and ensure all input is consumed."""
value = self._parse_expr()
if self._pos != len(self._tokens):
# Leftover tokens: e.g. two adjacent numbers, a stray ')', or
# trailing junk.
raise ValueError("unexpected trailing input")
return value
def _parse_expr(self):
value = self._parse_term()
while True:
token = self._peek()
if token is None or token[0] not in (_PLUS, _MINUS):
return value
op = self._advance()[0]
right = self._parse_term()
if op == _PLUS:
value = value + right
else:
value = value - right
def _parse_term(self):
value = self._parse_factor()
while True:
token = self._peek()
if token is None or token[0] not in (_MUL, _DIV):
return value
op = self._advance()[0]
right = self._parse_factor()
if op == _MUL:
value = value * right
else:
if right == 0:
raise ValueError("division by zero")
value = value / right
def _parse_factor(self):
token = self._peek()
if token is None:
# Operand expected but input ran out: empty input or a dangling
# operator.
raise ValueError("expected an operand")
kind = token[0]
# Unary plus / minus: bind tighter than the binary operators and may
# stack (the recursion makes them right associative).
if kind == _PLUS:
self._advance()
return +self._parse_factor()
if kind == _MINUS:
self._advance()
return -self._parse_factor()
# Parenthesised sub-expression.
if kind == _LPAR:
self._advance()
value = self._parse_expr()
closing = self._peek()
if closing is None or closing[0] != _RPAR:
raise ValueError("missing closing parenthesis")
self._advance()
return value
# Number literal.
if kind == _NUM:
return self._advance()[1]
# Anything else here (e.g. a ')' or a binary operator with no left
# operand) is malformed.
raise ValueError("unexpected token: %r" % (token[1],))
def _normalize(value):
"""Return ``value`` as an ``int`` when it is an exact integer, else float."""
if isinstance(value, float):
if value.is_integer():
return int(value)
return value
return value
def eval_expr(s):
"""Evaluate the arithmetic expression ``s`` and return its numeric value.
Supports ``+ - * /`` with standard precedence and left associativity,
parentheses, unary ``+``/``-``, and integer/decimal literals. ``/`` is true
division. Returns an ``int`` for an exact integer result, otherwise a
``float``. Raises ``ValueError`` for a malformed expression (empty input, a
dangling operator, mismatched parentheses, two adjacent numbers, an unknown
token) or for division by zero.
"""
if not isinstance(s, str):
raise ValueError("expression must be a string")
tokens = _tokenize(s)
value = _Parser(tokens).parse()
return _normalize(value)