| """ |
| Math utility functions for formula evaluation |
| """ |
| import math |
| import re |
|
|
| def evaluate_formula(formula: str, a=0, b=0, c=0, d=0): |
| """ |
| 计算字符串数学公式 |
| |
| 支持的运算符和函数: |
| - 基本运算:+, -, *, /, //, %, ** |
| - 比较运算:>, <, >=, <=, ==, != |
| - 数学函数:abs, pow, round, ceil, floor, sqrt, exp, log, log10 |
| - 三角函数:sin, cos, tan, asin, acos, atan |
| - 常量:pi, e |
| |
| Args: |
| formula: 数学公式字符串,可以使用变量a、b、c、d |
| a: 变量a的值 |
| b: 变量b的值 |
| c: 变量c的值 |
| d: 变量d的值 |
| |
| Returns: |
| 如果任意输入为list则返回list[float],否则返回float |
| |
| Examples: |
| >>> evaluate_formula("a + b", 1, 2) |
| 3.0 |
| >>> evaluate_formula("pow(a, 2)", 5) |
| 25.0 |
| >>> evaluate_formula("ceil(a / b)", 5, 2) |
| 3.0 |
| >>> evaluate_formula("(a>b)*b+(a<=b)*a", 5, 3) |
| 3.0 |
| >>> evaluate_formula("(a>b)*b+(a<=b)*a", 2, 3) |
| 2.0 |
| """ |
| |
| safe_dict = { |
| |
| 'abs': abs, |
| 'pow': pow, |
| 'round': round, |
| |
| 'ceil': math.ceil, |
| 'floor': math.floor, |
| 'sqrt': math.sqrt, |
| 'exp': math.exp, |
| 'log': math.log, |
| 'log10': math.log10, |
| |
| 'sin': math.sin, |
| 'cos': math.cos, |
| 'tan': math.tan, |
| 'asin': math.asin, |
| 'acos': math.acos, |
| 'atan': math.atan, |
| |
| 'pi': math.pi, |
| 'e': math.e, |
| } |
|
|
| |
| list_inputs = {k: v for k, v in {'a': a, 'b': b, 'c': c, 'd': d}.items() if isinstance(v, (list, tuple))} |
| scalar_inputs = {k: v for k, v in {'a': a, 'b': b, 'c': c, 'd': d}.items() if not isinstance(v, (list, tuple))} |
|
|
| def _eval_single(vals: dict) -> float: |
| env = dict(safe_dict) |
| env.update({k: float(v) for k, v in vals.items()}) |
| try: |
| result = eval(formula, {"__builtins__": {}}, env) |
| return float(result) |
| except Exception as e: |
| raise ValueError(f"公式计算错误: {str(e)}") |
|
|
| if not list_inputs: |
| |
| return _eval_single({k: v for k, v in {'a': a, 'b': b, 'c': c, 'd': d}.items()}) |
|
|
| |
| max_len = max(len(v) for v in list_inputs.values()) |
| results = [] |
| for i in range(max_len): |
| vals = {k: float(v) for k, v in scalar_inputs.items()} |
| for k, v in list_inputs.items(): |
| vals[k] = float(v[i] if i < len(v) else v[-1]) |
| results.append(_eval_single(vals)) |
| return results |
|
|
|
|
| def ceil_value(value: float) -> int: |
| """向上取整""" |
| return math.ceil(value) |
|
|
|
|
| def floor_value(value: float) -> int: |
| """向下取整""" |
| return math.floor(value) |
|
|
|
|
| def round_value(value: float, decimals: int = 0) -> float: |
| """ |
| 四舍五入 |
| |
| Args: |
| value: 要取整的值 |
| decimals: 保留小数位数 |
| |
| Returns: |
| 四舍五入后的值 |
| """ |
| return round(value, decimals) |
|
|
|
|
| def power(base: float, exponent: float) -> float: |
| """计算幂运算""" |
| return math.pow(base, exponent) |
|
|
|
|
| def sqrt_value(value: float) -> float: |
| """计算平方根""" |
| if value < 0: |
| raise ValueError("不能对负数求平方根") |
| return math.sqrt(value) |
|
|
|
|
| def add(a: float, b: float) -> float: |
| """加法""" |
| return a + b |
|
|
|
|
| def subtract(a: float, b: float) -> float: |
| """减法""" |
| return a - b |
|
|
|
|
| def multiply(a: float, b: float) -> float: |
| """乘法""" |
| return a * b |
|
|
|
|
| def divide(a: float, b: float) -> float: |
| """除法""" |
| if b == 0: |
| raise ValueError("除数不能为零") |
| return a / b |
|
|