[update] simplify safe math eval

pull/855/head
jingyaogong 2026-09-14 23:55:32 +08:00
parent cdf0a93e02
commit 21ec325dba
1 changed files with 27 additions and 46 deletions

View File

@ -179,50 +179,31 @@ class LMForRewardModel:
return max(min(score, 3.0), -3.0)
# ===== 数学表达式安全求值(替代 eval,避免执行模型生成的任意代码) =====
_MATH_FUNCS = {name: getattr(math, name) for name in (
'sqrt', 'pow', 'exp', 'log', 'log2', 'log10', 'sin', 'cos', 'tan', 'asin', 'acos', 'atan', 'atan2',
'sinh', 'cosh', 'tanh', 'floor', 'ceil', 'trunc', 'fabs', 'fmod', 'hypot', 'gcd', 'degrees', 'radians'
)}
_MATH_CONSTS = {'pi': math.pi, 'e': math.e, 'tau': math.tau}
_BIN_OPS = {ast.Add: operator.add, ast.Sub: operator.sub, ast.Mult: operator.mul, ast.Div: operator.truediv,
ast.FloorDiv: operator.floordiv, ast.Mod: operator.mod, ast.Pow: operator.pow}
_UNARY_OPS = {ast.UAdd: operator.pos, ast.USub: operator.neg}
_MAX_EXPR_LEN, _MAX_EXP, _MAX_DIGITS = 512, 1e4, 100 # 表达式长度 / 指数 / 结果位数上限
def _check_pow(base, exp): # 防止 9**9**9 这类表达式把进程算死
if abs(exp) > _MAX_EXP or (abs(base) > 1 and abs(exp) * math.log10(abs(base)) > _MAX_DIGITS):
raise ValueError('幂运算结果过大')
def _resolve_name(node): # 同时兼容 sqrt(4) 与 math.sqrt(4) 两种写法
if isinstance(node, ast.Name): return node.id
if isinstance(node, ast.Attribute) and isinstance(node.value, ast.Name) and node.value.id == 'math': return node.attr
return None
def _eval_ast(node):
if isinstance(node, ast.Constant) and isinstance(node.value, (int, float)) and not isinstance(node.value, bool):
return node.value
if isinstance(node, (ast.Name, ast.Attribute)) and _resolve_name(node) in _MATH_CONSTS:
return _MATH_CONSTS[_resolve_name(node)]
if isinstance(node, ast.UnaryOp) and type(node.op) in _UNARY_OPS:
return _UNARY_OPS[type(node.op)](_eval_ast(node.operand))
if isinstance(node, ast.BinOp) and type(node.op) in _BIN_OPS:
left, right = _eval_ast(node.left), _eval_ast(node.right)
if isinstance(node.op, ast.Pow): _check_pow(left, right)
return _BIN_OPS[type(node.op)](left, right)
if isinstance(node, ast.Call) and _resolve_name(node.func) in _MATH_FUNCS and not node.keywords:
name, args = _resolve_name(node.func), [_eval_ast(arg) for arg in node.args]
if name == 'pow' and len(args) == 2: _check_pow(*args)
return _MATH_FUNCS[name](*args)
raise ValueError(f'不支持的表达式语法: {type(node).__name__}')
# ===== 数学表达式安全求值:替代 eval,只放行算术运算与 math 白名单(长度上限 512) =====
def safe_math_eval(expression):
"""对模型生成的数学表达式求值:只放行算术运算与 math 白名单函数,不执行任意代码。"""
expr = str(expression).replace('^', '**').replace('×', '*').replace('÷', '/').replace('−', '-')
expr = expr.replace('²', '**2').replace('³', '**3').replace('(', '(').replace(')', ')').strip()
if not expr or len(expr) > _MAX_EXPR_LEN: raise ValueError('表达式为空或过长')
return _eval_ast(ast.parse(expr, mode='eval').body)
"""对模型生成的数学表达式求值:支持 + - * / // % **、math 白名单函数与 pi/e/tau 常量。"""
def pow_guard(base, exp): # 幂运算统一走这里,拦截 9**9**9 / 10**99999 这类把进程算死的输入
if abs(exp) > 1e4 or (abs(base) > 1 and abs(exp) * math.log10(abs(base)) > 100): raise ValueError('幂运算结果过大')
return base ** exp
def resolve(node): # 同时兼容 sqrt(4) 与 math.sqrt(4) 两种写法
if isinstance(node, ast.Name): return node.id
if isinstance(node, ast.Attribute) and getattr(node.value, 'id', '') == 'math': return node.attr
def walk(node):
if isinstance(node, ast.Constant) and type(node.value) in (int, float): return node.value
name = resolve(node)
if name in consts: return consts[name]
if isinstance(node, ast.UnaryOp): return unary_ops[type(node.op)](walk(node.operand))
if isinstance(node, ast.BinOp): return bin_ops[type(node.op)](walk(node.left), walk(node.right))
if isinstance(node, ast.Call) and not node.keywords: return funcs[resolve(node.func)](*map(walk, node.args))
raise ValueError(f'不支持的表达式语法: {type(node).__name__}')
consts = {'pi': math.pi, 'e': math.e, 'tau': math.tau}
funcs = {'pow': pow_guard, **{n: getattr(math, n) for n in 'sqrt exp log log2 log10 sin cos tan asin acos atan atan2 sinh cosh tanh floor ceil trunc fabs fmod hypot gcd degrees radians'.split()}}
bin_ops = {ast.Add: operator.add, ast.Sub: operator.sub, ast.Mult: operator.mul, ast.Div: operator.truediv, ast.FloorDiv: operator.floordiv, ast.Mod: operator.mod, ast.Pow: pow_guard}
unary_ops = {ast.UAdd: operator.pos, ast.USub: operator.neg}
chars = str.maketrans({'^': '**', '×': '*', '÷': '/', '−': '-', '²': '**2', '³': '**3', '(': '(', ')': ')'})
expr = str(expression).translate(chars).strip()
if not expr or len(expr) > 512: raise ValueError('表达式为空或过长')
try:
return walk(ast.parse(expr, mode='eval').body)
except (KeyError, SyntaxError, TypeError):
raise ValueError('不支持的表达式语法') from None