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Tools for calculations

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def sort(arr: List[Any], key: Callable[[Any], Any] = lambda x: x, reverse: bool = False) -> None:

内省排序Introsort,结合了多种排序算法的优点,以确保在各种情况下都能获得高效的性能,不返回列表。arr,待排序的列表。key,用于比较的键函数,自定义排序规则,而不必修改原始数据。reverse,是否降序排列,默认为升序。

Introsort, which combines the advantages of multiple sorting algorithms to ensure efficient performance in all cases. Does not return a list. arr is the list to be sorted. key is a function to extract a comparison key from each element, allowing custom sorting without modifying the original data. reverse specifies whether to sort in descending order (default is ascending).

def log(n, m, precision=50):

精确计算以m为底n的对数,参照math.log()参数顺序。默认保留50位小数,若计算结果非常接近整数,函数会返回四舍五入后的整数结果。m为对数的底数(int/float/Decimal类型),n为真数(int/float/Decimal类型),precision为可选的计算精度参数(整数类型,默认50位小数)。

Accurately calculate the logarithm of n with base m. Follow the parameter order of math.log(). The result retains 50 decimal places by default. If the calculation result is very close to an integer, the function will return the rounded integer value. m is the base of the logarithm (of type int/float/Decimal), n is the argument (of type int/float/Decimal), and precision is an optional calculation precision parameter (integer type, defaulting to 50 decimal places).

def calculate_latex(latex_expr, precision=10):

计算$\LaTeX$表达式,返回字符串。latex_expr,LaTeX格式的数学表达式,字符串。precision,计算结果的精度,默认为10位有效数字,整数。

Evaluate $\LaTeX$ expression, return string. latex_expr(str), a mathematical expression in $\LaTeX$ format. precision(int), the precision of the result, defaults to 10 significant digits.

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