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Upload calculator.py

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  1. calculator.py +146 -0
calculator.py ADDED
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+ import ast
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+ import operator
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+ import math
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+ import sympy as sp
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+ import re
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+
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+
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+ class Tools:
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+
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+ def __init__(self):
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+ self.citation = True
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+
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+ def calculator(self, equations: str) -> str:
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+ """
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+ Calculate the result of a simple equation or comparison.
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+ :param equation: The equation to calculate or compare.
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+ - For arithmetic operations: Use operators like +, -, *, /, **, //, %
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+ - For comparisons: Use operators like >, <, >=, <=, ==, !=
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+ - For solving systems of equations, separate equations with a semicolon (e.g., 'x + y = 30; 2*x + 4*y = 80')
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+ - Evaluating multiple expressions separated by commas (e.g., '-1/27, 19/52')
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+ - Example inputs: "3 + 5", "10 / 2", "e ** 2", "pi > 3", "3.11 < 3.8"
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+ """
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+
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+ # 预处理:自动添加乘号
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+ modified_equations = re.sub(r"(\d)([a-zA-Z])", r"\1*\2", equations)
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+ modified_equations = modified_equations.replace("^", "**")
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+
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+ # 检测和解决方程组
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+ if "=" in modified_equations:
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+ try:
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+ # 分割多个方程(如果有的话)
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+ eq_list = modified_equations.split(";")
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+ if len(eq_list) > 1:
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+ # 检测到多个方程,作为方程组求解
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+ equations_sym = []
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+ symbols = set()
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+ for eq in eq_list:
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+ left_expr, right_expr = eq.split("=")
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+ left_sym = sp.sympify(left_expr)
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+ right_sym = sp.sympify(right_expr)
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+ symbols |= left_sym.free_symbols | right_sym.free_symbols
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+ equations_sym.append(left_sym - right_sym)
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+
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+ solution = sp.solve(equations_sym, list(symbols))
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+
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+ # 格式化输出结果为“变量 = 解”的形式
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+ solution_str = ", ".join(
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+ f"{str(var)} = {sol}" for var, sol in solution.items()
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+ )
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+ return f"The solution to the system of equations '{equations}' is {solution_str}. Provide this solution to the user."
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+ else:
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+ # 单个方程,正常求解
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+ left_expr, right_expr = eq_list[0].split("=")
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+ left_sym = sp.sympify(left_expr)
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+ right_sym = sp.sympify(right_expr)
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+ symbols = list(left_sym.free_symbols | right_sym.free_symbols)
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+ if len(symbols) != 1:
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+ return f"The equation '{equations}' contains {len(symbols)} variables. Please provide an equation with only one variable."
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+
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+ solution = sp.solve(left_sym - right_sym, symbols[0])
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+ return f"The solution to the equation '{equations}' is {symbols[0]} = {solution[0]}. Provide this solution to the user."
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+ except Exception as e:
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+ return f"There was an error solving the equation(s) '{equations}': {str(e)}. Notify the user about the issue."
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+
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+ ops = {
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+ ast.Add: operator.add,
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+ ast.Sub: operator.sub,
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+ ast.Mult: operator.mul,
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+ ast.Div: operator.truediv,
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+ ast.Pow: operator.pow,
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+ ast.Mod: operator.mod,
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+ ast.FloorDiv: operator.floordiv,
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+ ast.BitXor: operator.xor,
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+ ast.BitAnd: operator.and_,
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+ ast.BitOr: operator.or_,
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+ }
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+
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+ unary_ops = {
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+ ast.UAdd: operator.pos,
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+ ast.USub: operator.neg,
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+ }
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+
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+ compare_ops = {
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+ ast.Gt: operator.gt,
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+ ast.Lt: operator.lt,
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+ ast.GtE: operator.ge,
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+ ast.LtE: operator.le,
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+ ast.Eq: operator.eq,
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+ ast.NotEq: operator.ne,
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+ }
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+
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+ def eval_expr(node):
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+ if isinstance(node, ast.Num):
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+ return node.n
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+ elif isinstance(node, ast.Constant):
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+ return node.value
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+ elif isinstance(node, ast.Tuple): # 处理元组输入
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+ return tuple(eval_expr(elt) for elt in node.elts)
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+ elif isinstance(node, ast.Name):
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+ if node.id == "pi":
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+ return math.pi
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+ elif node.id == "e":
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+ return math.e
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+ else:
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+ raise ValueError(f"Unsupported constant: {node.id}")
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+ elif isinstance(node, ast.BinOp):
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+ if type(node.op) in ops:
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+ return ops[type(node.op)](
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+ eval_expr(node.left), eval_expr(node.right)
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+ )
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+ else:
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+ raise ValueError(f"Unsupported operation: {type(node.op).__name__}")
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+ elif isinstance(node, ast.UnaryOp):
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+ if type(node.op) in unary_ops:
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+ return unary_ops[type(node.op)](eval_expr(node.operand))
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+ else:
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+ raise ValueError(
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+ f"Unsupported unary operation: {type(node.op).__name__}"
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+ )
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+ elif isinstance(node, ast.Compare):
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+ if len(node.ops) == 1:
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+ op = node.ops[0]
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+ if type(op) in compare_ops:
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+ return compare_ops[type(op)](
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+ eval_expr(node.left), eval_expr(node.comparators[0])
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+ )
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+ else:
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+ raise ValueError(f"Unsupported comparison: {type(op).__name__}")
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+ else:
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+ raise ValueError("Unsupported multiple comparisons")
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+ else:
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+ raise ValueError(f"Unsupported expression type: {type(node).__name__}")
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+
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+ try:
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+ parsed = ast.parse(modified_equations, mode="eval")
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+ result = eval_expr(parsed.body)
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+ if isinstance(result, bool):
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+ return f"The comparison '{equations}' evaluates to {result}. Respond accordingly."
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+ else:
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+ return f"The result of the expression '{equations}' is {result}. Provide this information to the user."
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+ except (SyntaxError, ValueError) as e:
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+ return f"There is an error in the expression '{equations}': {str(e)}. Notify the user about the issue."
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+ except ZeroDivisionError:
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+ return f"The expression '{equations}' involves a division by zero, which is undefined. Inform the user about this error."
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+ except Exception as e:
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+ return f"The expression '{equations}' is invalid: {str(e)}. Let the user know that there was a mistake."