Module mbcp.mp_math.utils
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float
Description: 区间限定函数
Arguments:
- x (
float): 值- min_ (
float): 最小值- max_ (
float): 最大值
Return: float: 限定在区间内的值
Source code or View on GitHub
python
def clamp(x: float, min_: float, max_: float) -> float:
return max(min(x, max_), min_)class Approx
method __init__(self, value: RealNumber)
Description: 用于近似比较对象
Arguments:
- value (
RealNumber): 实数
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python
def __init__(self, value: RealNumber):
self.value = valuemethod __eq__(self, other)
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python
def __eq__(self, other):
if isinstance(self.value, (float, int)):
if isinstance(other, (float, int)):
return abs(self.value - other) < APPROX
else:
self.raise_type_error(other)
elif isinstance(self.value, Vector3):
if isinstance(other, (Vector3, Point3, Plane3, Line3)):
return all([approx(self.value.x, other.x), approx(self.value.y, other.y), approx(self.value.z, other.z)])
else:
self.raise_type_error(other)method raise_type_error(self, other)
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def raise_type_error(self, other):
raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')method __ne__(self, other)
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def __ne__(self, other):
return not self.__eq__(other)func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool
Description: 判断两个数是否近似相等。或包装一个实数，用于判断是否近似于0。
Arguments:
- x (
float): 数1- y (
float): 数2- epsilon (
float): 误差
Return: bool: 是否近似相等
Source code or View on GitHub
python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
return abs(x - y) < epsilonfunc sign(x: float, only_neg: bool = False) -> str
Description: 获取数的符号。
Arguments:
Return: str: 符号 + - ""
Source code or View on GitHub
python
def sign(x: float, only_neg: bool=False) -> str:
if x > 0:
return '+' if not only_neg else ''
elif x < 0:
return '-'
else:
return ''func sign_format(x: float, only_neg: bool = False) -> str
Description: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
Arguments:
Return: str: 符号 + - ""
Source code or View on GitHub
python
def sign_format(x: float, only_neg: bool=False) -> str:
if x > 0:
return f'+{x}' if not only_neg else f'{x}'
elif x < 0:
return f'-{abs(x)}'
else:
return ''