mbcp/docs/zh-Hant/api/mp_math/angle.md
2024-08-28 22:07:43 +08:00

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---
title: mbcp.mp_math.angle
---
### ***class*** `Angle`
### ***class*** `AnyAngle`
### *def* `__init__(self, value: float, is_radian: bool = False)`
任意角度。
參數:
- value: 角度或弧度值
- is_radian: 是否为弧度,默认为否
<details>
<summary>源碼</summary>
```python
def __init__(self, value: float, is_radian: bool=False):
"""
任意角度。
Args:
value: 角度或弧度值
is_radian: 是否为弧度,默认为否
"""
if is_radian:
self.radian = value
else:
self.radian = value * PI / 180
```
</details>
### `@property`
### *def* `complementary(self) -> 'AnyAngle'`
余角两角的和为90°。
返回:
- 余角
<details>
<summary>源碼</summary>
```python
@property
def complementary(self) -> 'AnyAngle':
"""
余角两角的和为90°。
Returns:
余角
"""
return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
```
</details>
### `@property`
### *def* `supplementary(self) -> 'AnyAngle'`
补角两角的和为180°。
返回:
- 补角
<details>
<summary>源碼</summary>
```python
@property
def supplementary(self) -> 'AnyAngle':
"""
补角两角的和为180°。
Returns:
补角
"""
return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
```
</details>
### `@property`
### *def* `degree(self) -> float`
角度。
返回:
- 弧度
<details>
<summary>源碼</summary>
```python
@property
def degree(self) -> float:
"""
角度。
Returns:
弧度
"""
return self.radian * 180 / PI
```
</details>
### `@property`
### *def* `minimum_positive(self) -> 'AnyAngle'`
最小正角。
返回:
- 最小正角度
<details>
<summary>源碼</summary>
```python
@property
def minimum_positive(self) -> 'AnyAngle':
"""
最小正角。
Returns:
最小正角度
"""
return AnyAngle(self.radian % (2 * PI))
```
</details>
### `@property`
### *def* `maximum_negative(self) -> 'AnyAngle'`
最大负角。
返回:
- 最大负角度
<details>
<summary>源碼</summary>
```python
@property
def maximum_negative(self) -> 'AnyAngle':
"""
最大负角。
Returns:
最大负角度
"""
return AnyAngle(-self.radian % (2 * PI), is_radian=True)
```
</details>
### `@property`
### *def* `sin(self) -> float`
正弦值。
返回:
- 正弦值
<details>
<summary>源碼</summary>
```python
@property
def sin(self) -> float:
"""
正弦值。
Returns:
正弦值
"""
return math.sin(self.radian)
```
</details>
### `@property`
### *def* `cos(self) -> float`
余弦值。
返回:
- 余弦值
<details>
<summary>源碼</summary>
```python
@property
def cos(self) -> float:
"""
余弦值。
Returns:
余弦值
"""
return math.cos(self.radian)
```
</details>
### `@property`
### *def* `tan(self) -> float`
正切值。
返回:
- 正切值
<details>
<summary>源碼</summary>
```python
@property
def tan(self) -> float:
"""
正切值。
Returns:
正切值
"""
return math.tan(self.radian)
```
</details>
### `@property`
### *def* `cot(self) -> float`
余切值。
返回:
- 余切值
<details>
<summary>源碼</summary>
```python
@property
def cot(self) -> float:
"""
余切值。
Returns:
余切值
"""
return 1 / math.tan(self.radian)
```
</details>
### `@property`
### *def* `sec(self) -> float`
正割值。
返回:
- 正割值
<details>
<summary>源碼</summary>
```python
@property
def sec(self) -> float:
"""
正割值。
Returns:
正割值
"""
return 1 / math.cos(self.radian)
```
</details>
### `@property`
### *def* `csc(self) -> float`
余割值。
返回:
- 余割值
<details>
<summary>源碼</summary>
```python
@property
def csc(self) -> float:
"""
余割值。
Returns:
余割值
"""
return 1 / math.sin(self.radian)
```
</details>
### *def* `__add__(self, other: 'AnyAngle') -> 'AnyAngle'`
<details>
<summary>源碼</summary>
```python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
return AnyAngle(self.radian + other.radian, is_radian=True)
```
</details>
### *def* `__eq__(self, other)`
<details>
<summary>源碼</summary>
```python
def __eq__(self, other):
return approx(self.radian, other.radian)
```
</details>
### *def* `__sub__(self, other: 'AnyAngle') -> 'AnyAngle'`
<details>
<summary>源碼</summary>
```python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
return AnyAngle(self.radian - other.radian, is_radian=True)
```
</details>
### *def* `__mul__(self, other: float) -> 'AnyAngle'`
<details>
<summary>源碼</summary>
```python
def __mul__(self, other: float) -> 'AnyAngle':
return AnyAngle(self.radian * other, is_radian=True)
```
</details>
### *def* `__repr__(self)`
<details>
<summary>源碼</summary>
```python
def __repr__(self):
return f'AnyAngle({self.radian}, is_radian=True)'
```
</details>
### *def* `__str__(self)`
<details>
<summary>源碼</summary>
```python
def __str__(self):
return f'AnyAngle({self.degree}° or {self.radian} rad)'
```
</details>
### `@overload`
### *def* `__truediv__(self, other: float) -> 'AnyAngle'`
<details>
<summary>源碼</summary>
```python
@overload
def __truediv__(self, other: float) -> 'AnyAngle':
...
```
</details>
### `@overload`
### *def* `__truediv__(self, other: 'AnyAngle') -> float`
<details>
<summary>源碼</summary>
```python
@overload
def __truediv__(self, other: 'AnyAngle') -> float:
...
```
</details>
### *def* `__truediv__(self, other)`
<details>
<summary>源碼</summary>
```python
def __truediv__(self, other):
if isinstance(other, AnyAngle):
return self.radian / other.radian
return AnyAngle(self.radian / other, is_radian=True)
```
</details>