---
title: mbcp.mp_math.utils
---
### *def* `clamp() -> float`
区间截断函数。
Args:
- x:
- min_:
- max_:
Return:
- 限制后的值
Source code
```python
def clamp(x: float, min_: float, max_: float) -> float:
"""
区间截断函数。
Args:
x:
min_:
max_:
Returns:
限制后的值
"""
return max(min(x, max_), min_)
```
### *def* `approx(x: float = 0.0, y: float = APPROX) -> bool`
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。
Args:
- x:
- y:
- epsilon:
Return:
- 是否近似相等
Source code
```python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
"""
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。
Args:
x:
y:
epsilon:
Returns:
是否近似相等
"""
return abs(x - y) < epsilon
```
### *def* `sign(x: float = False) -> str`
获取数的符号。
Args:
- x: 数
- only_neg: 是否只返回负数的符号
Return:
- 符号 + - ""
Source code
```python
def sign(x: float, only_neg: bool=False) -> str:
"""获取数的符号。
Args:
x: 数
only_neg: 是否只返回负数的符号
Returns:
符号 + - ""
"""
if x > 0:
return '+' if not only_neg else ''
elif x < 0:
return '-'
else:
return ''
```
### *def* `sign_format(x: float = False) -> str`
格式化符号数
-1 -> -1
1 -> +1
0 -> ""
Args:
- x: 数
- only_neg: 是否只返回负数的符号
Return:
- 符号 + - ""
Source code
```python
def sign_format(x: float, only_neg: bool=False) -> str:
"""格式化符号数
-1 -> -1
1 -> +1
0 -> ""
Args:
x: 数
only_neg: 是否只返回负数的符号
Returns:
符号 + - ""
"""
if x > 0:
return f'+{x}' if not only_neg else f'{x}'
elif x < 0:
return f'-{abs(x)}'
else:
return ''
```
### ***class*** `Approx`
### *def* `__init__(self, value: RealNumber)`
Source code
```python
def __init__(self, value: RealNumber):
self.value = value
```
### *def* `__eq__(self, other)`
Source code
```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)
```
### *def* `raise_type_error(self, other)`
Source code
```python
def raise_type_error(self, other):
raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
```
### *def* `__ne__(self, other)`
Source code
```python
def __ne__(self, other):
return not self.__eq__(other)
```