mirror of
https://github.com/snowykami/mbcp.git
synced 2024-11-30 09:04:56 +08:00
450 lines
6.3 KiB
Markdown
450 lines
6.3 KiB
Markdown
---
|
||
title: mbcp.mp_math.angle
|
||
---
|
||
### ***class*** `Angle`
|
||
|
||
### ***class*** `AnyAngle`
|
||
|
||
### *def* `__init__(self, value: float, is_radian: bool = False)`
|
||
|
||
|
||
任意角度。
|
||
|
||
引数:
|
||
|
||
- value: 角度或弧度值
|
||
|
||
- is_radian: 是否为弧度,默认为否
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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°。
|
||
|
||
戻り値:
|
||
|
||
- 余角
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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°。
|
||
|
||
戻り値:
|
||
|
||
- 补角
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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。
|
||
|
||
戻り値:
|
||
|
||
- 弧度
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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。
|
||
|
||
戻り値:
|
||
|
||
- 最小正角度
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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。
|
||
|
||
戻り値:
|
||
|
||
- 最大负角度
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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。
|
||
|
||
戻り値:
|
||
|
||
- 正弦值
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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。
|
||
|
||
戻り値:
|
||
|
||
- 余弦值
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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。
|
||
|
||
戻り値:
|
||
|
||
- 正切值
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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。
|
||
|
||
戻り値:
|
||
|
||
- 余切值
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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。
|
||
|
||
戻り値:
|
||
|
||
- 正割值
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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。
|
||
|
||
戻り値:
|
||
|
||
- 余割值
|
||
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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>ソースコード</summary>
|
||
|
||
```python
|
||
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
|
||
return AnyAngle(self.radian + other.radian, is_radian=True)
|
||
```
|
||
</details>
|
||
|
||
### *def* `__eq__(self, other)`
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</summary>
|
||
|
||
```python
|
||
def __eq__(self, other):
|
||
return approx(self.radian, other.radian)
|
||
```
|
||
</details>
|
||
|
||
### *def* `__sub__(self, other: 'AnyAngle') -> 'AnyAngle'`
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</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>ソースコード</summary>
|
||
|
||
```python
|
||
def __mul__(self, other: float) -> 'AnyAngle':
|
||
return AnyAngle(self.radian * other, is_radian=True)
|
||
```
|
||
</details>
|
||
|
||
### *def* `__repr__(self)`
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</summary>
|
||
|
||
```python
|
||
def __repr__(self):
|
||
return f'AnyAngle({self.radian}, is_radian=True)'
|
||
```
|
||
</details>
|
||
|
||
### *def* `__str__(self)`
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</summary>
|
||
|
||
```python
|
||
def __str__(self):
|
||
return f'AnyAngle({self.degree}° or {self.radian} rad)'
|
||
```
|
||
</details>
|
||
|
||
### `@overload`
|
||
### *def* `__truediv__(self, other: float) -> 'AnyAngle'`
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</summary>
|
||
|
||
```python
|
||
@overload
|
||
def __truediv__(self, other: float) -> 'AnyAngle':
|
||
...
|
||
```
|
||
</details>
|
||
|
||
### `@overload`
|
||
### *def* `__truediv__(self, other: 'AnyAngle') -> float`
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</summary>
|
||
|
||
```python
|
||
@overload
|
||
def __truediv__(self, other: 'AnyAngle') -> float:
|
||
...
|
||
```
|
||
</details>
|
||
|
||
### *def* `__truediv__(self, other)`
|
||
|
||
|
||
<details>
|
||
<summary>ソースコード</summary>
|
||
|
||
```python
|
||
def __truediv__(self, other):
|
||
if isinstance(other, AnyAngle):
|
||
return self.radian / other.radian
|
||
return AnyAngle(self.radian / other, is_radian=True)
|
||
```
|
||
</details>
|
||
|