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🔥 测试错误内容
This commit is contained in:
parent
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commit
8ba6ee805a
3
.github/workflows/pytest.yml
vendored
3
.github/workflows/pytest.yml
vendored
@ -31,7 +31,8 @@ jobs:
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- name: Test with pytest
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run: |
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pdm run pytest --junitxml=report/report.xml
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pdm run pytest --junitxml=report/report.xml.
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0
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- name: Archive Pytest test report
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uses: actions/upload-artifact@v3
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8
.gitignore
vendored
8
.gitignore
vendored
@ -5,4 +5,10 @@
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.pdm-build
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.pdm-python
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pdm.lock
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.pdm-build/
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.pdm-build/
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# node.js
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node_modules/
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docs/.vitepress/dist
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docs/.vitepress/cache
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16
README.md
16
README.md
@ -1,2 +1,14 @@
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# mcpe
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MinecraftParticleEffect
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# More Basic Change Particle - 更多基础变换粒子
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A Minecraft particle production library
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## 介绍
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该库用于一些Minecraft粒子特效的计算和制作,集成了常用的numpy,sympy,scipy等科学计算库
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## 文档
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[MBCP docs](https://mbcp.liteyuki.icu)
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## 示例
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- [【特效红石音乐】童话镇~「总有一条蜿蜒在童话镇里...」](https://www.bilibili.com/video/BV1xE4m1d72j)
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- [【特效红石音乐】使一颗心免于哀伤 If I Can Stop One Heart From Breaking「崩坏:星穹铁道 EP」](https://www.bilibili.com/video/BV1B1421t7i3)
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28
docs/.vitepress/config.mts
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28
docs/.vitepress/config.mts
Normal file
@ -0,0 +1,28 @@
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import { defineConfig } from 'vitepress'
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// https://vitepress.dev/reference/site-config
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export default defineConfig({
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title: "MBCP docs",
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description: "MBCP library docs",
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themeConfig: {
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// https://vitepress.dev/reference/default-theme-config
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nav: [
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{ text: 'Home', link: '/' },
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{ text: 'Examples', link: '/markdown-examples' }
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],
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sidebar: [
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{
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text: 'Examples',
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items: [
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{ text: 'Markdown Examples', link: '/markdown-examples' },
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{ text: 'Runtime API Examples', link: '/api-examples' }
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]
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}
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],
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socialLinks: [
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{ icon: 'github', link: 'https://github.com/vuejs/vitepress' }
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]
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}
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})
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49
docs/api-examples.md
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49
docs/api-examples.md
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@ -0,0 +1,49 @@
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---
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outline: deep
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---
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# Runtime API Examples
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This page demonstrates usage of some of the runtime APIs provided by VitePress.
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||||
The main `useData()` API can be used to access site, theme, and page data for the current page. It works in both `.md` and `.vue` files:
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```md
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<script setup>
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import { useData } from 'vitepress'
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||||
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const { theme, page, frontmatter } = useData()
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</script>
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## Results
|
||||
|
||||
### Theme Data
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||||
<pre>{{ theme }}</pre>
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||||
|
||||
### Page Data
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||||
<pre>{{ page }}</pre>
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||||
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||||
### Page Frontmatter
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<pre>{{ frontmatter }}</pre>
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||||
```
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||||
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<script setup>
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import { useData } from 'vitepress'
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const { site, theme, page, frontmatter } = useData()
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||||
</script>
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||||
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## Results
|
||||
|
||||
### Theme Data
|
||||
<pre>{{ theme }}</pre>
|
||||
|
||||
### Page Data
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||||
<pre>{{ page }}</pre>
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||||
|
||||
### Page Frontmatter
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||||
<pre>{{ frontmatter }}</pre>
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## More
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||||
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Check out the documentation for the [full list of runtime APIs](https://vitepress.dev/reference/runtime-api#usedata).
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7
docs/api/indedx.md
Normal file
7
docs/api/indedx.md
Normal file
@ -0,0 +1,7 @@
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---
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title: mbcp.\n\ninit\n\n
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order: 1
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icon: laptop-code
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category: API
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---
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|
303
docs/api/mp_math/angle.md
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303
docs/api/mp_math/angle.md
Normal file
@ -0,0 +1,303 @@
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---
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title: mbcp.mp\nmath.angle
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order: 1
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icon: laptop-code
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category: API
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---
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### ***class*** `AnyAngle`
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###   ***def*** `__init__(self, value: float, is_radian: bool) -> None`
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 任意角度。
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Args:
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value: 角度或弧度值
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is_radian: 是否为弧度,默认为否
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<details>
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<summary>源代码</summary>
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```python
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def __init__(self, value: float, is_radian: bool=False):
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"""
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任意角度。
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Args:
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value: 角度或弧度值
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is_radian: 是否为弧度,默认为否
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"""
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if is_radian:
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self.radian = value
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else:
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self.radian = value * PI / 180
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```
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</details>
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###   ***@property***
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###   ***def*** `complementary(self: Any) -> 'AnyAngle'`
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 余角:两角的和为90°。
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Returns:
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余角
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<details>
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<summary>源代码</summary>
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```python
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@property
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def complementary(self) -> 'AnyAngle':
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"""
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余角:两角的和为90°。
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Returns:
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余角
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"""
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return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
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```
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</details>
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###   ***@property***
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###   ***def*** `supplementary(self: Any) -> 'AnyAngle'`
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 补角:两角的和为180°。
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Returns:
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补角
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<details>
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||||
<summary>源代码</summary>
|
||||
|
||||
```python
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@property
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||||
def supplementary(self) -> 'AnyAngle':
|
||||
"""
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||||
补角:两角的和为180°。
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Returns:
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补角
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"""
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||||
return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
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```
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||||
</details>
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||||
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###   ***@property***
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||||
###   ***def*** `degree(self: Any) -> float`
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 角度。
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Returns:
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弧度
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<details>
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<summary>源代码</summary>
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```python
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@property
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def degree(self) -> float:
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"""
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角度。
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Returns:
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弧度
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||||
"""
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||||
return self.radian * 180 / PI
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```
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</details>
|
||||
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###   ***@property***
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###   ***def*** `minimum_positive(self: Any) -> 'AnyAngle'`
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 最小正角。
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Returns:
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最小正角度
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<details>
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<summary>源代码</summary>
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```python
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@property
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def minimum_positive(self) -> 'AnyAngle':
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"""
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最小正角。
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Returns:
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最小正角度
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"""
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return AnyAngle(self.radian % (2 * PI))
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```
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</details>
|
||||
|
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###   ***@property***
|
||||
###   ***def*** `maximum_negative(self: Any) -> 'AnyAngle'`
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||||
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||||
 最大负角。
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Returns:
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最大负角度
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<details>
|
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<summary>源代码</summary>
|
||||
|
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```python
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@property
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||||
def maximum_negative(self) -> 'AnyAngle':
|
||||
"""
|
||||
最大负角。
|
||||
Returns:
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||||
最大负角度
|
||||
"""
|
||||
return AnyAngle(-self.radian % (2 * PI), is_radian=True)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@property***
|
||||
###   ***def*** `sin(self: Any) -> float`
|
||||
|
||||
 正弦值。
|
||||
|
||||
Returns:
|
||||
|
||||
正弦值
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@property
|
||||
def sin(self) -> float:
|
||||
"""
|
||||
正弦值。
|
||||
Returns:
|
||||
正弦值
|
||||
"""
|
||||
return math.sin(self.radian)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@property***
|
||||
###   ***def*** `cos(self: Any) -> float`
|
||||
|
||||
 余弦值。
|
||||
|
||||
Returns:
|
||||
|
||||
余弦值
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@property
|
||||
def cos(self) -> float:
|
||||
"""
|
||||
余弦值。
|
||||
Returns:
|
||||
余弦值
|
||||
"""
|
||||
return math.cos(self.radian)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@property***
|
||||
###   ***def*** `tan(self: Any) -> float`
|
||||
|
||||
 正切值。
|
||||
|
||||
Returns:
|
||||
|
||||
正切值
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@property
|
||||
def tan(self) -> float:
|
||||
"""
|
||||
正切值。
|
||||
Returns:
|
||||
正切值
|
||||
"""
|
||||
return math.tan(self.radian)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@property***
|
||||
###   ***def*** `cot(self: Any) -> float`
|
||||
|
||||
 余切值。
|
||||
|
||||
Returns:
|
||||
|
||||
余切值
|
||||
|
||||
<details>
|
||||
<summary>源代码</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: Any) -> float`
|
||||
|
||||
 正割值。
|
||||
|
||||
Returns:
|
||||
|
||||
正割值
|
||||
|
||||
<details>
|
||||
<summary>源代码</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: Any) -> float`
|
||||
|
||||
 余割值。
|
||||
|
||||
Returns:
|
||||
|
||||
余割值
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@property
|
||||
def csc(self) -> float:
|
||||
"""
|
||||
余割值。
|
||||
Returns:
|
||||
余割值
|
||||
"""
|
||||
return 1 / math.sin(self.radian)
|
||||
```
|
||||
</details>
|
||||
|
31
docs/api/mp_math/const.md
Normal file
31
docs/api/mp_math/const.md
Normal file
@ -0,0 +1,31 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.const
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***var*** `PI = math.pi`
|
||||
|
||||
|
||||
|
||||
### ***var*** `E = math.e`
|
||||
|
||||
|
||||
|
||||
### ***var*** `GOLDEN_RATIO = (1 + math.sqrt(5)) / 2`
|
||||
|
||||
|
||||
|
||||
### ***var*** `GAMMA = 0.5772156649015329`
|
||||
|
||||
|
||||
|
||||
### ***var*** `EPSILON = 0.0001`
|
||||
|
||||
|
||||
|
||||
### ***var*** `APPROX = 0.001`
|
||||
|
||||
|
||||
|
145
docs/api/mp_math/equation.md
Normal file
145
docs/api/mp_math/equation.md
Normal file
@ -0,0 +1,145 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.equation
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***def*** `get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number) -> MultiVarsFunc`
|
||||
|
||||
求N元函数一阶偏导函数。这玩意不太稳定,慎用。
|
||||
|
||||
Args:
|
||||
|
||||
func: 函数
|
||||
|
||||
var: 变量位置,可为整数(一阶偏导)或整数元组(高阶偏导)
|
||||
|
||||
epsilon: 偏移量
|
||||
|
||||
Returns:
|
||||
|
||||
偏导函数
|
||||
|
||||
Raises:
|
||||
|
||||
ValueError: 无效变量类型
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number=EPSILON) -> MultiVarsFunc:
|
||||
"""
|
||||
求N元函数一阶偏导函数。这玩意不太稳定,慎用。
|
||||
Args:
|
||||
func: 函数
|
||||
var: 变量位置,可为整数(一阶偏导)或整数元组(高阶偏导)
|
||||
epsilon: 偏移量
|
||||
Returns:
|
||||
偏导函数
|
||||
Raises:
|
||||
ValueError: 无效变量类型
|
||||
"""
|
||||
if isinstance(var, int):
|
||||
|
||||
def partial_derivative_func(*args: Var) -> Var:
|
||||
args_list_plus = list(args)
|
||||
args_list_plus[var] += epsilon
|
||||
args_list_minus = list(args)
|
||||
args_list_minus[var] -= epsilon
|
||||
return (func(*args_list_plus) - func(*args_list_minus)) / (2 * epsilon)
|
||||
return partial_derivative_func
|
||||
elif isinstance(var, tuple):
|
||||
|
||||
def high_order_partial_derivative_func(*args: Var) -> Var:
|
||||
result_func = func
|
||||
for v in var:
|
||||
result_func = get_partial_derivative_func(result_func, v, epsilon)
|
||||
return result_func(*args)
|
||||
return high_order_partial_derivative_func
|
||||
else:
|
||||
raise ValueError('Invalid var type')
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***def*** `partial_derivative_func() -> Var`
|
||||
|
||||
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def partial_derivative_func(*args: Var) -> Var:
|
||||
args_list_plus = list(args)
|
||||
args_list_plus[var] += epsilon
|
||||
args_list_minus = list(args)
|
||||
args_list_minus[var] -= epsilon
|
||||
return (func(*args_list_plus) - func(*args_list_minus)) / (2 * epsilon)
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***def*** `high_order_partial_derivative_func() -> Var`
|
||||
|
||||
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def high_order_partial_derivative_func(*args: Var) -> Var:
|
||||
result_func = func
|
||||
for v in var:
|
||||
result_func = get_partial_derivative_func(result_func, v, epsilon)
|
||||
return result_func(*args)
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***class*** `CurveEquation`
|
||||
|
||||
|
||||
|
||||
###   ***def*** `__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) -> None`
|
||||
|
||||
 曲线方程。
|
||||
|
||||
:param x_func:
|
||||
|
||||
:param y_func:
|
||||
|
||||
:param z_func:
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
|
||||
"""
|
||||
曲线方程。
|
||||
:param x_func:
|
||||
:param y_func:
|
||||
:param z_func:
|
||||
"""
|
||||
self.x_func = x_func
|
||||
self.y_func = y_func
|
||||
self.z_func = z_func
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***var*** `args_list_plus = list(args)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `args_list_minus = list(args)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `result_func = func`
|
||||
|
||||
|
||||
|
||||
### ***var*** `result_func = get_partial_derivative_func(result_func, v, epsilon)`
|
||||
|
||||
|
||||
|
7
docs/api/mp_math/indedx.md
Normal file
7
docs/api/mp_math/indedx.md
Normal file
@ -0,0 +1,7 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.\n\ninit\n\n
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
489
docs/api/mp_math/line.md
Normal file
489
docs/api/mp_math/line.md
Normal file
@ -0,0 +1,489 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.line
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***class*** `Line3`
|
||||
|
||||
|
||||
|
||||
###   ***def*** `__init__(self, point: 'Point3', direction: 'Vector3') -> None`
|
||||
|
||||
 三维空间中的直线。由一个点和一个方向向量确定。
|
||||
|
||||
Args:
|
||||
|
||||
point: 直线上的一点
|
||||
|
||||
direction: 直线的方向向量
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def __init__(self, point: 'Point3', direction: 'Vector3'):
|
||||
"""
|
||||
三维空间中的直线。由一个点和一个方向向量确定。
|
||||
Args:
|
||||
point: 直线上的一点
|
||||
direction: 直线的方向向量
|
||||
"""
|
||||
self.point = point
|
||||
self.direction = direction
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `approx(self, other: 'Line3', epsilon: float) -> bool`
|
||||
|
||||
 判断两条直线是否近似相等。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一条直线
|
||||
|
||||
epsilon: 误差
|
||||
|
||||
Returns:
|
||||
|
||||
是否近似相等
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
|
||||
"""
|
||||
判断两条直线是否近似相等。
|
||||
Args:
|
||||
other: 另一条直线
|
||||
epsilon: 误差
|
||||
Returns:
|
||||
是否近似相等
|
||||
"""
|
||||
return self.is_approx_parallel(other, epsilon) and (self.point - other.point).is_approx_parallel(self.direction, epsilon)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_angle(self, other: 'Line3') -> 'AnyAngle'`
|
||||
|
||||
 计算直线和直线之间的夹角。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一条直线
|
||||
|
||||
Returns:
|
||||
|
||||
夹角弧度
|
||||
|
||||
Raises:
|
||||
|
||||
TypeError: 不支持的类型
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
|
||||
"""
|
||||
计算直线和直线之间的夹角。
|
||||
Args:
|
||||
other: 另一条直线
|
||||
Returns:
|
||||
夹角弧度
|
||||
Raises:
|
||||
TypeError: 不支持的类型
|
||||
"""
|
||||
return self.direction.cal_angle(other.direction)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_distance(self, other: 'Line3 | Point3') -> float`
|
||||
|
||||
 计算直线和直线或点之间的距离。
|
||||
|
||||
Args:
|
||||
|
||||
other: 平行直线或点
|
||||
|
||||
|
||||
|
||||
Returns:
|
||||
|
||||
距离
|
||||
|
||||
Raises:
|
||||
|
||||
TypeError: 不支持的类型
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_distance(self, other: 'Line3 | Point3') -> float:
|
||||
"""
|
||||
计算直线和直线或点之间的距离。
|
||||
Args:
|
||||
other: 平行直线或点
|
||||
|
||||
Returns:
|
||||
距离
|
||||
Raises:
|
||||
TypeError: 不支持的类型
|
||||
"""
|
||||
if isinstance(other, Line3):
|
||||
if self == other:
|
||||
return 0
|
||||
elif self.is_parallel(other):
|
||||
return (other.point - self.point).cross(self.direction).length / self.direction.length
|
||||
elif not self.is_coplanar(other):
|
||||
return abs(self.direction.cross(other.direction) @ (self.point - other.point) / self.direction.cross(other.direction).length)
|
||||
else:
|
||||
return 0
|
||||
elif isinstance(other, Point3):
|
||||
return (other - self.point).cross(self.direction).length / self.direction.length
|
||||
else:
|
||||
raise TypeError('Unsupported type.')
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_intersection(self, other: 'Line3') -> 'Point3'`
|
||||
|
||||
 计算两条直线的交点。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一条直线
|
||||
|
||||
Returns:
|
||||
|
||||
交点
|
||||
|
||||
Raises:
|
||||
|
||||
ValueError: 直线平行
|
||||
|
||||
ValueError: 直线不共面
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_intersection(self, other: 'Line3') -> 'Point3':
|
||||
"""
|
||||
计算两条直线的交点。
|
||||
Args:
|
||||
other: 另一条直线
|
||||
Returns:
|
||||
交点
|
||||
Raises:
|
||||
ValueError: 直线平行
|
||||
ValueError: 直线不共面
|
||||
"""
|
||||
if self.is_parallel(other):
|
||||
raise ValueError('Lines are parallel and do not intersect.')
|
||||
if not self.is_coplanar(other):
|
||||
raise ValueError('Lines are not coplanar and do not intersect.')
|
||||
return self.point + self.direction.cross(other.direction) @ other.direction.cross(self.point - other.point) / self.direction.cross(other.direction).length ** 2 * self.direction
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_perpendicular(self, point: 'Point3') -> 'Line3'`
|
||||
|
||||
 计算直线经过指定点p的垂线。
|
||||
|
||||
Args:
|
||||
|
||||
point: 指定点
|
||||
|
||||
Returns:
|
||||
|
||||
垂线
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
|
||||
"""
|
||||
计算直线经过指定点p的垂线。
|
||||
Args:
|
||||
point: 指定点
|
||||
Returns:
|
||||
垂线
|
||||
"""
|
||||
return Line3(point, self.direction.cross(point - self.point))
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `get_point(self, t: RealNumber) -> 'Point3'`
|
||||
|
||||
 获取直线上的点。同一条直线,但起始点和方向向量不同,则同一个t对应的点不同。
|
||||
|
||||
Args:
|
||||
|
||||
t: 参数t
|
||||
|
||||
Returns:
|
||||
|
||||
点
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def get_point(self, t: RealNumber) -> 'Point3':
|
||||
"""
|
||||
获取直线上的点。同一条直线,但起始点和方向向量不同,则同一个t对应的点不同。
|
||||
Args:
|
||||
t: 参数t
|
||||
Returns:
|
||||
点
|
||||
"""
|
||||
return self.point + t * self.direction
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]`
|
||||
|
||||
 获取直线的参数方程。
|
||||
|
||||
Returns:
|
||||
|
||||
x(t), y(t), z(t)
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:
|
||||
"""
|
||||
获取直线的参数方程。
|
||||
Returns:
|
||||
x(t), y(t), z(t)
|
||||
"""
|
||||
return (lambda t: self.point.x + self.direction.x * t, lambda t: self.point.y + self.direction.y * t, lambda t: self.point.z + self.direction.z * t)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `is_approx_parallel(self, other: 'Line3', epsilon: float) -> bool`
|
||||
|
||||
 判断两条直线是否近似平行。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一条直线
|
||||
|
||||
epsilon: 误差
|
||||
|
||||
Returns:
|
||||
|
||||
是否近似平行
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def is_approx_parallel(self, other: 'Line3', epsilon: float=1e-06) -> bool:
|
||||
"""
|
||||
判断两条直线是否近似平行。
|
||||
Args:
|
||||
other: 另一条直线
|
||||
epsilon: 误差
|
||||
Returns:
|
||||
是否近似平行
|
||||
"""
|
||||
return self.direction.is_approx_parallel(other.direction, epsilon)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `is_parallel(self, other: 'Line3') -> bool`
|
||||
|
||||
 判断两条直线是否平行。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一条直线
|
||||
|
||||
Returns:
|
||||
|
||||
是否平行
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def is_parallel(self, other: 'Line3') -> bool:
|
||||
"""
|
||||
判断两条直线是否平行。
|
||||
Args:
|
||||
other: 另一条直线
|
||||
Returns:
|
||||
是否平行
|
||||
"""
|
||||
return self.direction.is_parallel(other.direction)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `is_collinear(self, other: 'Line3') -> bool`
|
||||
|
||||
 判断两条直线是否共线。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一条直线
|
||||
|
||||
Returns:
|
||||
|
||||
是否共线
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def is_collinear(self, other: 'Line3') -> bool:
|
||||
"""
|
||||
判断两条直线是否共线。
|
||||
Args:
|
||||
other: 另一条直线
|
||||
Returns:
|
||||
是否共线
|
||||
"""
|
||||
return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `is_point_on(self, point: 'Point3') -> bool`
|
||||
|
||||
 判断点是否在直线上。
|
||||
|
||||
Args:
|
||||
|
||||
point: 点
|
||||
|
||||
Returns:
|
||||
|
||||
是否在直线上
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def is_point_on(self, point: 'Point3') -> bool:
|
||||
"""
|
||||
判断点是否在直线上。
|
||||
Args:
|
||||
point: 点
|
||||
Returns:
|
||||
是否在直线上
|
||||
"""
|
||||
return (point - self.point).is_parallel(self.direction)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `is_coplanar(self, other: 'Line3') -> bool`
|
||||
|
||||
 判断两条直线是否共面。
|
||||
|
||||
充要条件:两直线方向向量的叉乘与两直线上任意一点的向量的点积为0。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一条直线
|
||||
|
||||
Returns:
|
||||
|
||||
是否共面
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def is_coplanar(self, other: 'Line3') -> bool:
|
||||
"""
|
||||
判断两条直线是否共面。
|
||||
充要条件:两直线方向向量的叉乘与两直线上任意一点的向量的点积为0。
|
||||
Args:
|
||||
other: 另一条直线
|
||||
Returns:
|
||||
是否共面
|
||||
"""
|
||||
return self.direction.cross(other.direction) @ (self.point - other.point) == 0
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `simplify(self) -> None`
|
||||
|
||||
 简化直线方程,等价相等。
|
||||
|
||||
自体简化,不返回值。
|
||||
|
||||
|
||||
|
||||
按照可行性一次对x y z 化 0 处理,并对向量单位化
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def simplify(self):
|
||||
"""
|
||||
简化直线方程,等价相等。
|
||||
自体简化,不返回值。
|
||||
|
||||
按照可行性一次对x y z 化 0 处理,并对向量单位化
|
||||
"""
|
||||
self.direction.normalize()
|
||||
if self.direction.x == 0:
|
||||
self.point.x = 0
|
||||
if self.direction.y == 0:
|
||||
self.point.y = 0
|
||||
if self.direction.z == 0:
|
||||
self.point.z = 0
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@classmethod***
|
||||
###   ***def*** `from_two_points(cls: Any, p1: 'Point3', p2: 'Point3') -> 'Line3'`
|
||||
|
||||
 工厂函数 由两点构造直线。
|
||||
|
||||
Args:
|
||||
|
||||
p1: 点1
|
||||
|
||||
p2: 点2
|
||||
|
||||
Returns:
|
||||
|
||||
直线
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@classmethod
|
||||
def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
|
||||
"""
|
||||
工厂函数 由两点构造直线。
|
||||
Args:
|
||||
p1: 点1
|
||||
p2: 点2
|
||||
Returns:
|
||||
直线
|
||||
"""
|
||||
direction = p2 - p1
|
||||
return cls(p1, direction)
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***var*** `direction = p2 - p1`
|
||||
|
||||
|
||||
|
||||
### ***var*** `s = 'Line3: '`
|
||||
|
||||
|
||||
|
15
docs/api/mp_math/mp_math_typing.md
Normal file
15
docs/api/mp_math/mp_math_typing.md
Normal file
@ -0,0 +1,15 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.mp\nmath\ntyping
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***var*** `SingleVar = TypeVar('SingleVar', bound=Number)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number])`
|
||||
|
||||
|
||||
|
552
docs/api/mp_math/plane.md
Normal file
552
docs/api/mp_math/plane.md
Normal file
@ -0,0 +1,552 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.plane
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***class*** `Plane3`
|
||||
|
||||
|
||||
|
||||
###   ***def*** `__init__(self, a: float, b: float, c: float, d: float) -> None`
|
||||
|
||||
 平面方程:ax + by + cz + d = 0
|
||||
|
||||
Args:
|
||||
|
||||
a:
|
||||
|
||||
b:
|
||||
|
||||
c:
|
||||
|
||||
d:
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def __init__(self, a: float, b: float, c: float, d: float):
|
||||
"""
|
||||
平面方程:ax + by + cz + d = 0
|
||||
Args:
|
||||
a:
|
||||
b:
|
||||
c:
|
||||
d:
|
||||
"""
|
||||
self.a = a
|
||||
self.b = b
|
||||
self.c = c
|
||||
self.d = d
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `approx(self, other: 'Plane3', epsilon: float) -> bool`
|
||||
|
||||
 判断两个平面是否近似相等。
|
||||
|
||||
Args:
|
||||
|
||||
other:
|
||||
|
||||
epsilon:
|
||||
|
||||
|
||||
|
||||
Returns:
|
||||
|
||||
是否近似相等
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def approx(self, other: 'Plane3', epsilon: float=APPROX) -> bool:
|
||||
"""
|
||||
判断两个平面是否近似相等。
|
||||
Args:
|
||||
other:
|
||||
epsilon:
|
||||
|
||||
Returns:
|
||||
是否近似相等
|
||||
"""
|
||||
if self.a != 0:
|
||||
k = other.a / self.a
|
||||
return approx(other.b, self.b * k) and approx(other.c, self.c * k) and approx(other.d, self.d * k)
|
||||
elif self.b != 0:
|
||||
k = other.b / self.b
|
||||
return approx(other.a, self.a * k) and approx(other.c, self.c * k) and approx(other.d, self.d * k)
|
||||
elif self.c != 0:
|
||||
k = other.c / self.c
|
||||
return approx(other.a, self.a * k) and approx(other.b, self.b * k) and approx(other.d, self.d * k)
|
||||
else:
|
||||
return False
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle'`
|
||||
|
||||
 计算平面与平面之间的夹角。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一个平面
|
||||
|
||||
Returns:
|
||||
|
||||
夹角弧度
|
||||
|
||||
Raises:
|
||||
|
||||
TypeError: 不支持的类型
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
|
||||
"""
|
||||
计算平面与平面之间的夹角。
|
||||
Args:
|
||||
other: 另一个平面
|
||||
Returns:
|
||||
夹角弧度
|
||||
Raises:
|
||||
TypeError: 不支持的类型
|
||||
"""
|
||||
if isinstance(other, Line3):
|
||||
return self.normal.cal_angle(other.direction).complementary
|
||||
elif isinstance(other, Plane3):
|
||||
return AnyAngle(math.acos(self.normal @ other.normal / (self.normal.length * other.normal.length)), is_radian=True)
|
||||
else:
|
||||
raise TypeError(f'Unsupported type: {type(other)}')
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_distance(self, other: 'Plane3 | Point3') -> float`
|
||||
|
||||
 计算平面与平面或点之间的距离。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一个平面或点
|
||||
|
||||
Returns:
|
||||
|
||||
距离
|
||||
|
||||
Raises:
|
||||
|
||||
TypeError: 不支持的类型
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_distance(self, other: 'Plane3 | Point3') -> float:
|
||||
"""
|
||||
计算平面与平面或点之间的距离。
|
||||
Args:
|
||||
other: 另一个平面或点
|
||||
Returns:
|
||||
距离
|
||||
Raises:
|
||||
TypeError: 不支持的类型
|
||||
"""
|
||||
if isinstance(other, Plane3):
|
||||
return 0
|
||||
elif isinstance(other, Point3):
|
||||
return abs(self.a * other.x + self.b * other.y + self.c * other.z + self.d) / (self.a ** 2 + self.b ** 2 + self.c ** 2) ** 0.5
|
||||
else:
|
||||
raise TypeError(f'Unsupported type: {type(other)}')
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_intersection_line3(self, other: 'Plane3') -> 'Line3'`
|
||||
|
||||
 计算两平面的交线。该方法有问题,待修复。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一个平面
|
||||
|
||||
Returns:
|
||||
|
||||
交线
|
||||
|
||||
Raises:
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
|
||||
"""
|
||||
计算两平面的交线。该方法有问题,待修复。
|
||||
Args:
|
||||
other: 另一个平面
|
||||
Returns:
|
||||
交线
|
||||
Raises:
|
||||
"""
|
||||
if self.normal.is_parallel(other.normal):
|
||||
raise ValueError('Planes are parallel and have no intersection.')
|
||||
direction = self.normal.cross(other.normal)
|
||||
x, y, z = (0, 0, 0)
|
||||
if self.a != 0 and other.a != 0:
|
||||
A = np.array([[self.b, self.c], [other.b, other.c]])
|
||||
B = np.array([-self.d, -other.d])
|
||||
y, z = np.linalg.solve(A, B)
|
||||
elif self.b != 0 and other.b != 0:
|
||||
A = np.array([[self.a, self.c], [other.a, other.c]])
|
||||
B = np.array([-self.d, -other.d])
|
||||
x, z = np.linalg.solve(A, B)
|
||||
elif self.c != 0 and other.c != 0:
|
||||
A = np.array([[self.a, self.b], [other.a, other.b]])
|
||||
B = np.array([-self.d, -other.d])
|
||||
x, y = np.linalg.solve(A, B)
|
||||
return Line3(Point3(x, y, z), direction)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_intersection_point3(self, other: 'Line3') -> 'Point3'`
|
||||
|
||||
 计算平面与直线的交点。
|
||||
|
||||
Args:
|
||||
|
||||
other: 不与平面平行或在平面上的直线
|
||||
|
||||
Returns:
|
||||
|
||||
交点
|
||||
|
||||
Raises:
|
||||
|
||||
ValueError: 平面与直线平行或重合
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
|
||||
"""
|
||||
计算平面与直线的交点。
|
||||
Args:
|
||||
other: 不与平面平行或在平面上的直线
|
||||
Returns:
|
||||
交点
|
||||
Raises:
|
||||
ValueError: 平面与直线平行或重合
|
||||
"""
|
||||
if self.normal @ other.direction == 0:
|
||||
raise ValueError('The plane and the line are parallel or coincident.')
|
||||
x, y, z = other.get_parametric_equations()
|
||||
t = -(self.a * other.point.x + self.b * other.point.y + self.c * other.point.z + self.d) / (self.a * other.direction.x + self.b * other.direction.y + self.c * other.direction.z)
|
||||
return Point3(x(t), y(t), z(t))
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_parallel_plane3(self, point: 'Point3') -> 'Plane3'`
|
||||
|
||||
 计算平行于该平面且过指定点的平面。
|
||||
|
||||
Args:
|
||||
|
||||
point: 指定点
|
||||
|
||||
Returns:
|
||||
|
||||
平面
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_parallel_plane3(self, point: 'Point3') -> 'Plane3':
|
||||
"""
|
||||
计算平行于该平面且过指定点的平面。
|
||||
Args:
|
||||
point: 指定点
|
||||
Returns:
|
||||
平面
|
||||
"""
|
||||
return Plane3.from_point_and_normal(point, self.normal)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `is_parallel(self, other: 'Plane3') -> bool`
|
||||
|
||||
 判断两个平面是否平行。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一个平面
|
||||
|
||||
Returns:
|
||||
|
||||
是否平行
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def is_parallel(self, other: 'Plane3') -> bool:
|
||||
"""
|
||||
判断两个平面是否平行。
|
||||
Args:
|
||||
other: 另一个平面
|
||||
Returns:
|
||||
是否平行
|
||||
"""
|
||||
return self.normal.is_parallel(other.normal)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@property***
|
||||
###   ***def*** `normal(self: Any) -> 'Vector3'`
|
||||
|
||||
 平面的法向量。
|
||||
|
||||
Returns:
|
||||
|
||||
法向量
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@property
|
||||
def normal(self) -> 'Vector3':
|
||||
"""
|
||||
平面的法向量。
|
||||
Returns:
|
||||
法向量
|
||||
"""
|
||||
return Vector3(self.a, self.b, self.c)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@classmethod***
|
||||
###   ***def*** `from_point_and_normal(cls: Any, point: 'Point3', normal: 'Vector3') -> 'Plane3'`
|
||||
|
||||
 工厂函数 由点和法向量构造平面(点法式构造)。
|
||||
|
||||
Args:
|
||||
|
||||
point: 平面上的一点
|
||||
|
||||
normal: 法向量
|
||||
|
||||
Returns:
|
||||
|
||||
平面
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@classmethod
|
||||
def from_point_and_normal(cls, point: 'Point3', normal: 'Vector3') -> 'Plane3':
|
||||
"""
|
||||
工厂函数 由点和法向量构造平面(点法式构造)。
|
||||
Args:
|
||||
point: 平面上的一点
|
||||
normal: 法向量
|
||||
Returns:
|
||||
平面
|
||||
"""
|
||||
a, b, c = (normal.x, normal.y, normal.z)
|
||||
d = -a * point.x - b * point.y - c * point.z
|
||||
return cls(a, b, c, d)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@classmethod***
|
||||
###   ***def*** `from_three_points(cls: Any, p1: 'Point3', p2: 'Point3', p3: 'Point3') -> 'Plane3'`
|
||||
|
||||
 工厂函数 由三点构造平面。
|
||||
|
||||
Args:
|
||||
|
||||
p1: 点1
|
||||
|
||||
p2: 点2
|
||||
|
||||
p3: 点3
|
||||
|
||||
Returns:
|
||||
|
||||
平面
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@classmethod
|
||||
def from_three_points(cls, p1: 'Point3', p2: 'Point3', p3: 'Point3') -> 'Plane3':
|
||||
"""
|
||||
工厂函数 由三点构造平面。
|
||||
Args:
|
||||
p1: 点1
|
||||
p2: 点2
|
||||
p3: 点3
|
||||
Returns:
|
||||
平面
|
||||
"""
|
||||
v1 = p2 - p1
|
||||
v2 = p3 - p1
|
||||
normal = v1.cross(v2)
|
||||
return cls.from_point_and_normal(p1, normal)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@classmethod***
|
||||
###   ***def*** `from_two_lines(cls: Any, l1: 'Line3', l2: 'Line3') -> 'Plane3'`
|
||||
|
||||
 工厂函数 由两直线构造平面。
|
||||
|
||||
Args:
|
||||
|
||||
l1: 直线1
|
||||
|
||||
l2: 直线2
|
||||
|
||||
Returns:
|
||||
|
||||
平面
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@classmethod
|
||||
def from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3':
|
||||
"""
|
||||
工厂函数 由两直线构造平面。
|
||||
Args:
|
||||
l1: 直线1
|
||||
l2: 直线2
|
||||
Returns:
|
||||
平面
|
||||
"""
|
||||
v1 = l1.direction
|
||||
v2 = l2.point - l1.point
|
||||
if v2 == zero_vector3:
|
||||
v2 = l2.get_point(1) - l1.point
|
||||
return cls.from_point_and_normal(l1.point, v1.cross(v2))
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@classmethod***
|
||||
###   ***def*** `from_point_and_line(cls: Any, point: 'Point3', line: 'Line3') -> 'Plane3'`
|
||||
|
||||
 工厂函数 由点和直线构造平面。
|
||||
|
||||
Args:
|
||||
|
||||
point: 面上一点
|
||||
|
||||
line: 面上直线,不包含点
|
||||
|
||||
Returns:
|
||||
|
||||
平面
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@classmethod
|
||||
def from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3':
|
||||
"""
|
||||
工厂函数 由点和直线构造平面。
|
||||
Args:
|
||||
point: 面上一点
|
||||
line: 面上直线,不包含点
|
||||
Returns:
|
||||
平面
|
||||
"""
|
||||
return cls.from_point_and_normal(point, line.direction)
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***var*** `direction = self.normal.cross(other.normal)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `t = -(self.a * other.point.x + self.b * other.point.y + self.c * other.point.z + self.d) / (self.a * other.direction.x + self.b * other.direction.y + self.c * other.direction.z)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `d = -a * point.x - b * point.y - c * point.z`
|
||||
|
||||
|
||||
|
||||
### ***var*** `v1 = p2 - p1`
|
||||
|
||||
|
||||
|
||||
### ***var*** `v2 = p3 - p1`
|
||||
|
||||
|
||||
|
||||
### ***var*** `normal = v1.cross(v2)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `v1 = l1.direction`
|
||||
|
||||
|
||||
|
||||
### ***var*** `v2 = l2.point - l1.point`
|
||||
|
||||
|
||||
|
||||
### ***var*** `s = 'Plane3: '`
|
||||
|
||||
|
||||
|
||||
### ***var*** `k = other.a / self.a`
|
||||
|
||||
|
||||
|
||||
### ***var*** `A = np.array([[self.b, self.c], [other.b, other.c]])`
|
||||
|
||||
|
||||
|
||||
### ***var*** `B = np.array([-self.d, -other.d])`
|
||||
|
||||
|
||||
|
||||
### ***var*** `v2 = l2.get_point(1) - l1.point`
|
||||
|
||||
|
||||
|
||||
### ***var*** `k = other.b / self.b`
|
||||
|
||||
|
||||
|
||||
### ***var*** `A = np.array([[self.a, self.c], [other.a, other.c]])`
|
||||
|
||||
|
||||
|
||||
### ***var*** `B = np.array([-self.d, -other.d])`
|
||||
|
||||
|
||||
|
||||
### ***var*** `k = other.c / self.c`
|
||||
|
||||
|
||||
|
||||
### ***var*** `A = np.array([[self.a, self.b], [other.a, other.b]])`
|
||||
|
||||
|
||||
|
||||
### ***var*** `B = np.array([-self.d, -other.d])`
|
||||
|
||||
|
||||
|
75
docs/api/mp_math/point.md
Normal file
75
docs/api/mp_math/point.md
Normal file
@ -0,0 +1,75 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.point
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***class*** `Point3`
|
||||
|
||||
|
||||
|
||||
###   ***def*** `__init__(self, x: float, y: float, z: float) -> None`
|
||||
|
||||
 笛卡尔坐标系中的点。
|
||||
|
||||
Args:
|
||||
|
||||
x: x 坐标
|
||||
|
||||
y: y 坐标
|
||||
|
||||
z: z 坐标
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def __init__(self, x: float, y: float, z: float):
|
||||
"""
|
||||
笛卡尔坐标系中的点。
|
||||
Args:
|
||||
x: x 坐标
|
||||
y: y 坐标
|
||||
z: z 坐标
|
||||
"""
|
||||
self.x = x
|
||||
self.y = y
|
||||
self.z = z
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `approx(self, other: 'Point3', epsilon: float) -> bool`
|
||||
|
||||
 判断两个点是否近似相等。
|
||||
|
||||
Args:
|
||||
|
||||
other:
|
||||
|
||||
epsilon:
|
||||
|
||||
|
||||
|
||||
Returns:
|
||||
|
||||
是否近似相等
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
|
||||
"""
|
||||
判断两个点是否近似相等。
|
||||
Args:
|
||||
other:
|
||||
epsilon:
|
||||
|
||||
Returns:
|
||||
是否近似相等
|
||||
"""
|
||||
return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
|
||||
```
|
||||
</details>
|
||||
|
40
docs/api/mp_math/segment.md
Normal file
40
docs/api/mp_math/segment.md
Normal file
@ -0,0 +1,40 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.segment
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***class*** `Segment3`
|
||||
|
||||
|
||||
|
||||
###   ***def*** `__init__(self, p1: 'Point3', p2: 'Point3') -> None`
|
||||
|
||||
 三维空间中的线段。
|
||||
|
||||
:param p1:
|
||||
|
||||
:param p2:
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def __init__(self, p1: 'Point3', p2: 'Point3'):
|
||||
"""
|
||||
三维空间中的线段。
|
||||
:param p1:
|
||||
:param p2:
|
||||
"""
|
||||
self.p1 = p1
|
||||
self.p2 = p2
|
||||
'方向向量'
|
||||
self.direction = self.p2 - self.p1
|
||||
'长度'
|
||||
self.length = self.direction.length
|
||||
'中心点'
|
||||
self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
|
||||
```
|
||||
</details>
|
||||
|
194
docs/api/mp_math/utils.md
Normal file
194
docs/api/mp_math/utils.md
Normal file
@ -0,0 +1,194 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.utils
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***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
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```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_)
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***def*** `approx(x: float, y: float, epsilon: float) -> 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
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```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
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***def*** `sign(x: float, only_neg: bool) -> 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 + - ""
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```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 ''
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***def*** `sign_format(x: float, only_neg: bool) -> 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 + - ""
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```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 ''
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***class*** `Approx`
|
||||
|
||||
用于近似比较对象
|
||||
|
||||
|
||||
|
||||
已实现对象 实数 Vector3 Point3 Plane3 Line3
|
||||
|
||||
###   ***def*** `__init__(self, value: RealNumber) -> None`
|
||||
|
||||
 
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def __init__(self, value: RealNumber):
|
||||
self.value = value
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `raise_type_error(self, other: Any) -> None`
|
||||
|
||||
 
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def raise_type_error(self, other):
|
||||
raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
|
||||
```
|
||||
</details>
|
||||
|
340
docs/api/mp_math/vector.md
Normal file
340
docs/api/mp_math/vector.md
Normal file
@ -0,0 +1,340 @@
|
||||
---
|
||||
title: mbcp.mp\nmath.vector
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***class*** `Vector3`
|
||||
|
||||
|
||||
|
||||
###   ***def*** `__init__(self, x: float, y: float, z: float) -> None`
|
||||
|
||||
 3维向量
|
||||
|
||||
Args:
|
||||
|
||||
x: x轴分量
|
||||
|
||||
y: y轴分量
|
||||
|
||||
z: z轴分量
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def __init__(self, x: float, y: float, z: float):
|
||||
"""
|
||||
3维向量
|
||||
Args:
|
||||
x: x轴分量
|
||||
y: y轴分量
|
||||
z: z轴分量
|
||||
"""
|
||||
self.x = x
|
||||
self.y = y
|
||||
self.z = z
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `approx(self, other: 'Vector3', epsilon: float) -> bool`
|
||||
|
||||
 判断两个向量是否近似相等。
|
||||
|
||||
Args:
|
||||
|
||||
other:
|
||||
|
||||
epsilon:
|
||||
|
||||
|
||||
|
||||
Returns:
|
||||
|
||||
是否近似相等
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
|
||||
"""
|
||||
判断两个向量是否近似相等。
|
||||
Args:
|
||||
other:
|
||||
epsilon:
|
||||
|
||||
Returns:
|
||||
是否近似相等
|
||||
"""
|
||||
return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cal_angle(self, other: 'Vector3') -> 'AnyAngle'`
|
||||
|
||||
 计算两个向量之间的夹角。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一个向量
|
||||
|
||||
Returns:
|
||||
|
||||
夹角
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
|
||||
"""
|
||||
计算两个向量之间的夹角。
|
||||
Args:
|
||||
other: 另一个向量
|
||||
Returns:
|
||||
夹角
|
||||
"""
|
||||
return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `cross(self, other: 'Vector3') -> 'Vector3'`
|
||||
|
||||
 向量积 叉乘:v1 cross v2 -> v3
|
||||
|
||||
|
||||
|
||||
叉乘为0,则两向量平行。
|
||||
|
||||
其余结果的模为平行四边形的面积。
|
||||
|
||||
|
||||
|
||||
返回如下行列式的结果:
|
||||
|
||||
|
||||
|
||||
``i j k``
|
||||
|
||||
|
||||
|
||||
``x1 y1 z1``
|
||||
|
||||
|
||||
|
||||
``x2 y2 z2``
|
||||
|
||||
|
||||
|
||||
Args:
|
||||
|
||||
other:
|
||||
|
||||
Returns:
|
||||
|
||||
行列式的结果
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def cross(self, other: 'Vector3') -> 'Vector3':
|
||||
"""
|
||||
向量积 叉乘:v1 cross v2 -> v3
|
||||
|
||||
叉乘为0,则两向量平行。
|
||||
其余结果的模为平行四边形的面积。
|
||||
|
||||
返回如下行列式的结果:
|
||||
|
||||
``i j k``
|
||||
|
||||
``x1 y1 z1``
|
||||
|
||||
``x2 y2 z2``
|
||||
|
||||
Args:
|
||||
other:
|
||||
Returns:
|
||||
行列式的结果
|
||||
"""
|
||||
return Vector3(self.y * other.z - self.z * other.y, self.z * other.x - self.x * other.z, self.x * other.y - self.y * other.x)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `is_approx_parallel(self, other: 'Vector3', epsilon: float) -> bool`
|
||||
|
||||
 判断两个向量是否近似平行。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一个向量
|
||||
|
||||
epsilon: 允许的误差
|
||||
|
||||
Returns:
|
||||
|
||||
是否近似平行
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
|
||||
"""
|
||||
判断两个向量是否近似平行。
|
||||
Args:
|
||||
other: 另一个向量
|
||||
epsilon: 允许的误差
|
||||
Returns:
|
||||
是否近似平行
|
||||
"""
|
||||
return self.cross(other).length < epsilon
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `is_parallel(self, other: 'Vector3') -> bool`
|
||||
|
||||
 判断两个向量是否平行。
|
||||
|
||||
Args:
|
||||
|
||||
other: 另一个向量
|
||||
|
||||
Returns:
|
||||
|
||||
是否平行
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def is_parallel(self, other: 'Vector3') -> bool:
|
||||
"""
|
||||
判断两个向量是否平行。
|
||||
Args:
|
||||
other: 另一个向量
|
||||
Returns:
|
||||
是否平行
|
||||
"""
|
||||
return self.cross(other).approx(zero_vector3)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***def*** `normalize(self) -> None`
|
||||
|
||||
 将向量归一化。
|
||||
|
||||
|
||||
|
||||
自体归一化,不返回值。
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
def normalize(self):
|
||||
"""
|
||||
将向量归一化。
|
||||
|
||||
自体归一化,不返回值。
|
||||
"""
|
||||
length = self.length
|
||||
self.x /= length
|
||||
self.y /= length
|
||||
self.z /= length
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@property***
|
||||
###   ***def*** `np_array(self: Any) -> 'np.ndarray'`
|
||||
|
||||
 返回numpy数组
|
||||
|
||||
Returns:
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@property
|
||||
def np_array(self) -> 'np.ndarray':
|
||||
"""
|
||||
返回numpy数组
|
||||
Returns:
|
||||
"""
|
||||
return np.array([self.x, self.y, self.z])
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@property***
|
||||
###   ***def*** `length(self: Any) -> float`
|
||||
|
||||
 向量的模。
|
||||
|
||||
Returns:
|
||||
|
||||
模
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@property
|
||||
def length(self) -> float:
|
||||
"""
|
||||
向量的模。
|
||||
Returns:
|
||||
模
|
||||
"""
|
||||
return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
|
||||
```
|
||||
</details>
|
||||
|
||||
###   ***@property***
|
||||
###   ***def*** `unit(self: Any) -> 'Vector3'`
|
||||
|
||||
 获取该向量的单位向量。
|
||||
|
||||
Returns:
|
||||
|
||||
单位向量
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@property
|
||||
def unit(self) -> 'Vector3':
|
||||
"""
|
||||
获取该向量的单位向量。
|
||||
Returns:
|
||||
单位向量
|
||||
"""
|
||||
return self / self.length
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***var*** `zero_vector3 = Vector3(0, 0, 0)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `x_axis = Vector3(1, 0, 0)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `y_axis = Vector3(0, 1, 0)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `z_axis = Vector3(0, 0, 1)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `length = self.length`
|
||||
|
||||
|
||||
|
7
docs/api/particle/indedx.md
Normal file
7
docs/api/particle/indedx.md
Normal file
@ -0,0 +1,7 @@
|
||||
---
|
||||
title: mbcp.particle.\n\ninit\n\n
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
7
docs/api/presets/indedx.md
Normal file
7
docs/api/presets/indedx.md
Normal file
@ -0,0 +1,7 @@
|
||||
---
|
||||
title: mbcp.presets.\n\ninit\n\n
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
118
docs/api/presets/model/indedx.md
Normal file
118
docs/api/presets/model/indedx.md
Normal file
@ -0,0 +1,118 @@
|
||||
---
|
||||
title: mbcp.presets.model.\n\ninit\n\n
|
||||
order: 1
|
||||
icon: laptop-code
|
||||
category: API
|
||||
---
|
||||
|
||||
### ***def*** `sphere(radius: float, density: float) -> None`
|
||||
|
||||
生成球体上的点集。
|
||||
|
||||
Args:
|
||||
|
||||
radius:
|
||||
|
||||
density:
|
||||
|
||||
Returns:
|
||||
|
||||
List[Point3]: 球体上的点集。
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@staticmethod
|
||||
def sphere(radius: float, density: float):
|
||||
"""
|
||||
生成球体上的点集。
|
||||
Args:
|
||||
radius:
|
||||
density:
|
||||
Returns:
|
||||
List[Point3]: 球体上的点集。
|
||||
"""
|
||||
area = 4 * np.pi * radius ** 2
|
||||
num = int(area * density)
|
||||
phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])
|
||||
theta_list = np.sqrt(num * np.pi) * phi_list
|
||||
x_array = radius * np.sin(phi_list) * np.cos(theta_list)
|
||||
y_array = radius * np.sin(phi_list) * np.sin(theta_list)
|
||||
z_array = radius * np.cos(phi_list)
|
||||
return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***class*** `GeometricModels`
|
||||
|
||||
|
||||
|
||||
###   ***@staticmethod***
|
||||
###   ***def*** `sphere(radius: float, density: float) -> None`
|
||||
|
||||
 生成球体上的点集。
|
||||
|
||||
Args:
|
||||
|
||||
radius:
|
||||
|
||||
density:
|
||||
|
||||
Returns:
|
||||
|
||||
List[Point3]: 球体上的点集。
|
||||
|
||||
<details>
|
||||
<summary>源代码</summary>
|
||||
|
||||
```python
|
||||
@staticmethod
|
||||
def sphere(radius: float, density: float):
|
||||
"""
|
||||
生成球体上的点集。
|
||||
Args:
|
||||
radius:
|
||||
density:
|
||||
Returns:
|
||||
List[Point3]: 球体上的点集。
|
||||
"""
|
||||
area = 4 * np.pi * radius ** 2
|
||||
num = int(area * density)
|
||||
phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])
|
||||
theta_list = np.sqrt(num * np.pi) * phi_list
|
||||
x_array = radius * np.sin(phi_list) * np.cos(theta_list)
|
||||
y_array = radius * np.sin(phi_list) * np.sin(theta_list)
|
||||
z_array = radius * np.cos(phi_list)
|
||||
return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
|
||||
```
|
||||
</details>
|
||||
|
||||
### ***var*** `area = 4 * np.pi * radius ** 2`
|
||||
|
||||
|
||||
|
||||
### ***var*** `num = int(area * density)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `phi_list = np.arccos([clamp(-1 + (2.0 * _ - 1.0) / num, -1, 1) for _ in range(num)])`
|
||||
|
||||
|
||||
|
||||
### ***var*** `theta_list = np.sqrt(num * np.pi) * phi_list`
|
||||
|
||||
|
||||
|
||||
### ***var*** `x_array = radius * np.sin(phi_list) * np.cos(theta_list)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `y_array = radius * np.sin(phi_list) * np.sin(theta_list)`
|
||||
|
||||
|
||||
|
||||
### ***var*** `z_array = radius * np.cos(phi_list)`
|
||||
|
||||
|
||||
|
25
docs/index.md
Normal file
25
docs/index.md
Normal file
@ -0,0 +1,25 @@
|
||||
---
|
||||
# https://vitepress.dev/reference/default-theme-home-page
|
||||
layout: home
|
||||
|
||||
hero:
|
||||
name: "MBCP docs"
|
||||
text: "More basic change particle"
|
||||
tagline: 用于几何运算和粒子制作的库
|
||||
actions:
|
||||
- theme: brand
|
||||
text: 快速开始
|
||||
link: /guide
|
||||
- theme: alt
|
||||
text: API
|
||||
link: api
|
||||
|
||||
features:
|
||||
- title: 高可用性
|
||||
details: 通过简单的接口,实现了大部分几何运算和粒子制作的需求
|
||||
- title: 高集成度
|
||||
details: 对<code>numpy</code>、<code>scipy</code>及<code>sumpy</code>进行了封装和集成,使脚本编写像使用Geogebra一样简单
|
||||
- title: 内置预设
|
||||
details: 提供了大量的预设,包括常见的几何图形、粒子效果等,方便快速制作
|
||||
---
|
||||
|
85
docs/markdown-examples.md
Normal file
85
docs/markdown-examples.md
Normal file
@ -0,0 +1,85 @@
|
||||
# Markdown Extension Examples
|
||||
|
||||
This page demonstrates some of the built-in markdown extensions provided by VitePress.
|
||||
|
||||
## Syntax Highlighting
|
||||
|
||||
VitePress provides Syntax Highlighting powered by [Shiki](https://github.com/shikijs/shiki), with additional features like line-highlighting:
|
||||
|
||||
**Input**
|
||||
|
||||
````md
|
||||
```js{4}
|
||||
export default {
|
||||
data () {
|
||||
return {
|
||||
msg: 'Highlighted!'
|
||||
}
|
||||
}
|
||||
}
|
||||
```
|
||||
````
|
||||
|
||||
**Output**
|
||||
|
||||
```js{4}
|
||||
export default {
|
||||
data () {
|
||||
return {
|
||||
msg: 'Highlighted!'
|
||||
}
|
||||
}
|
||||
}
|
||||
```
|
||||
|
||||
## Custom Containers
|
||||
|
||||
**Input**
|
||||
|
||||
```md
|
||||
::: info
|
||||
This is an info box.
|
||||
:::
|
||||
|
||||
::: tip
|
||||
This is a tip.
|
||||
:::
|
||||
|
||||
::: warning
|
||||
This is a warning.
|
||||
:::
|
||||
|
||||
::: danger
|
||||
This is a dangerous warning.
|
||||
:::
|
||||
|
||||
::: details
|
||||
This is a details block.
|
||||
:::
|
||||
```
|
||||
|
||||
**Output**
|
||||
|
||||
::: info
|
||||
This is an info box.
|
||||
:::
|
||||
|
||||
::: tip
|
||||
This is a tip.
|
||||
:::
|
||||
|
||||
::: warning
|
||||
This is a warning.
|
||||
:::
|
||||
|
||||
::: danger
|
||||
This is a dangerous warning.
|
||||
:::
|
||||
|
||||
::: details
|
||||
This is a details block.
|
||||
:::
|
||||
|
||||
## More
|
||||
|
||||
Check out the documentation for the [full list of markdown extensions](https://vitepress.dev/guide/markdown).
|
352
docs/mkdoc.py
Normal file
352
docs/mkdoc.py
Normal file
@ -0,0 +1,352 @@
|
||||
# -*- coding: utf-8 -*-
|
||||
"""
|
||||
MkDocs文档生成脚本
|
||||
用法 python docs/mkdoc.py
|
||||
"""
|
||||
|
||||
import ast
|
||||
import os
|
||||
import shutil
|
||||
from typing import Any
|
||||
from enum import Enum
|
||||
from pydantic import BaseModel
|
||||
|
||||
NO_TYPE_ANY = "Any"
|
||||
NO_TYPE_HINT = "NoTypeHint"
|
||||
|
||||
|
||||
class DefType(Enum):
|
||||
FUNCTION = "function"
|
||||
METHOD = "method"
|
||||
STATIC_METHOD = "staticmethod"
|
||||
CLASS_METHOD = "classmethod"
|
||||
PROPERTY = "property"
|
||||
|
||||
|
||||
class FunctionInfo(BaseModel):
|
||||
name: str
|
||||
args: list[tuple[str, str]]
|
||||
return_type: str
|
||||
docstring: str
|
||||
source_code: str = ""
|
||||
|
||||
type: DefType
|
||||
"""若为类中def,则有"""
|
||||
is_async: bool
|
||||
|
||||
|
||||
class AttributeInfo(BaseModel):
|
||||
name: str
|
||||
type: str
|
||||
value: Any = None
|
||||
docstring: str = ""
|
||||
|
||||
|
||||
class ClassInfo(BaseModel):
|
||||
name: str
|
||||
docstring: str
|
||||
methods: list[FunctionInfo]
|
||||
attributes: list[AttributeInfo]
|
||||
inherit: list[str]
|
||||
|
||||
|
||||
class ModuleInfo(BaseModel):
|
||||
module_path: str
|
||||
"""点分割模块路径 例如 liteyuki.bot"""
|
||||
|
||||
functions: list[FunctionInfo]
|
||||
classes: list[ClassInfo]
|
||||
attributes: list[AttributeInfo]
|
||||
docstring: str
|
||||
|
||||
|
||||
def get_relative_path(base_path: str, target_path: str) -> str:
|
||||
"""
|
||||
获取相对路径
|
||||
Args:
|
||||
base_path: 基础路径
|
||||
target_path: 目标路径
|
||||
"""
|
||||
return os.path.relpath(target_path, base_path)
|
||||
|
||||
|
||||
def write_to_files(file_data: dict[str, str]):
|
||||
"""
|
||||
输出文件
|
||||
Args:
|
||||
file_data: 文件数据 相对路径
|
||||
"""
|
||||
|
||||
for rp, data in file_data.items():
|
||||
|
||||
if not os.path.exists(os.path.dirname(rp)):
|
||||
os.makedirs(os.path.dirname(rp))
|
||||
with open(rp, 'w', encoding='utf-8') as f:
|
||||
f.write(data)
|
||||
|
||||
|
||||
def get_file_list(module_folder: str):
|
||||
file_list = []
|
||||
for root, dirs, files in os.walk(module_folder):
|
||||
for file in files:
|
||||
if file.endswith((".py", ".pyi")):
|
||||
file_list.append(os.path.join(root, file))
|
||||
return file_list
|
||||
|
||||
|
||||
def get_module_info_normal(file_path: str, ignore_private: bool = True) -> ModuleInfo:
|
||||
"""
|
||||
获取函数和类
|
||||
Args:
|
||||
file_path: Python 文件路径
|
||||
ignore_private: 忽略私有函数和类
|
||||
Returns:
|
||||
模块信息
|
||||
"""
|
||||
|
||||
with open(file_path, 'r', encoding='utf-8') as file:
|
||||
file_content = file.read()
|
||||
tree = ast.parse(file_content)
|
||||
|
||||
dot_sep_module_path = file_path.replace(os.sep, '.').replace(".py", "").replace(".pyi", "")
|
||||
module_docstring = ast.get_docstring(tree)
|
||||
|
||||
module_info = ModuleInfo(
|
||||
module_path=dot_sep_module_path,
|
||||
functions=[],
|
||||
classes=[],
|
||||
attributes=[],
|
||||
docstring=module_docstring if module_docstring else ""
|
||||
)
|
||||
|
||||
for node in ast.walk(tree):
|
||||
if isinstance(node, (ast.FunctionDef, ast.AsyncFunctionDef)):
|
||||
# 模块函数 且不在类中 若ignore_private=True则忽略私有函数
|
||||
if not any(isinstance(parent, ast.ClassDef) for parent in ast.iter_child_nodes(node)) and (not ignore_private or not node.name.startswith('_')):
|
||||
|
||||
# 判断第一个参数是否为self或cls,后期用其他办法优化
|
||||
if node.args.args:
|
||||
first_arg = node.args.args[0]
|
||||
if first_arg.arg in ("self", "cls"):
|
||||
continue
|
||||
|
||||
function_docstring = ast.get_docstring(node)
|
||||
|
||||
func_info = FunctionInfo(
|
||||
name=node.name,
|
||||
args=[(arg.arg, ast.unparse(arg.annotation) if arg.annotation else NO_TYPE_ANY) for arg in node.args.args],
|
||||
return_type=ast.unparse(node.returns) if node.returns else "None",
|
||||
docstring=function_docstring if function_docstring else "",
|
||||
type=DefType.FUNCTION,
|
||||
is_async=isinstance(node, ast.AsyncFunctionDef),
|
||||
source_code=ast.unparse(node)
|
||||
)
|
||||
module_info.functions.append(func_info)
|
||||
|
||||
elif isinstance(node, ast.ClassDef):
|
||||
# 模块类
|
||||
class_docstring = ast.get_docstring(node)
|
||||
|
||||
class_info = ClassInfo(
|
||||
name=node.name,
|
||||
docstring=class_docstring if class_docstring else "",
|
||||
methods=[],
|
||||
attributes=[],
|
||||
inherit=[ast.unparse(base) for base in node.bases]
|
||||
)
|
||||
|
||||
for class_node in node.body:
|
||||
# methods [instance, static, class, property],保留__init__方法
|
||||
if isinstance(class_node, ast.FunctionDef) and (not ignore_private or not class_node.name.startswith('_') or class_node.name == "__init__"):
|
||||
method_docstring = ast.get_docstring(class_node)
|
||||
def_type = DefType.METHOD
|
||||
if class_node.decorator_list:
|
||||
if any(isinstance(decorator, ast.Name) and decorator.id == "staticmethod" for decorator in class_node.decorator_list):
|
||||
def_type = DefType.STATIC_METHOD
|
||||
elif any(isinstance(decorator, ast.Name) and decorator.id == "classmethod" for decorator in class_node.decorator_list):
|
||||
def_type = DefType.CLASS_METHOD
|
||||
elif any(isinstance(decorator, ast.Name) and decorator.id == "property" for decorator in class_node.decorator_list):
|
||||
def_type = DefType.PROPERTY
|
||||
class_info.methods.append(FunctionInfo(
|
||||
name=class_node.name,
|
||||
args=[(arg.arg, ast.unparse(arg.annotation) if arg.annotation else NO_TYPE_ANY) for arg in class_node.args.args],
|
||||
return_type=ast.unparse(class_node.returns) if class_node.returns else "None",
|
||||
docstring=method_docstring if method_docstring else "",
|
||||
type=def_type,
|
||||
is_async=isinstance(class_node, ast.AsyncFunctionDef),
|
||||
source_code=ast.unparse(class_node)
|
||||
))
|
||||
# attributes
|
||||
elif isinstance(class_node, ast.Assign):
|
||||
for target in class_node.targets:
|
||||
if isinstance(target, ast.Name):
|
||||
class_info.attributes.append(AttributeInfo(
|
||||
name=target.id,
|
||||
type=ast.unparse(class_node.value)
|
||||
))
|
||||
module_info.classes.append(class_info)
|
||||
|
||||
elif isinstance(node, ast.Assign):
|
||||
# 检查是否在类或函数中
|
||||
if not any(isinstance(parent, (ast.ClassDef, ast.FunctionDef)) for parent in ast.iter_child_nodes(node)):
|
||||
# 模块属性变量
|
||||
for target in node.targets:
|
||||
if isinstance(target, ast.Name) and (not ignore_private or not target.id.startswith('_')):
|
||||
attr_type = NO_TYPE_HINT
|
||||
if isinstance(node.value, ast.AnnAssign) and node.value.annotation:
|
||||
attr_type = ast.unparse(node.value.annotation)
|
||||
module_info.attributes.append(AttributeInfo(
|
||||
name=target.id,
|
||||
type=attr_type,
|
||||
value=ast.unparse(node.value) if node.value else None
|
||||
))
|
||||
|
||||
return module_info
|
||||
|
||||
|
||||
def generate_markdown(module_info: ModuleInfo, front_matter=None, lang: str = "zh-CN") -> str:
|
||||
"""
|
||||
生成模块的Markdown
|
||||
你可在此自定义生成的Markdown格式
|
||||
Args:
|
||||
module_info: 模块信息
|
||||
front_matter: 自定义选项title, index, icon, category
|
||||
lang: 语言
|
||||
Returns:
|
||||
Markdown 字符串
|
||||
"""
|
||||
|
||||
content = ""
|
||||
|
||||
front_matter = "---\n" + "\n".join([f"{k}: {v}" for k, v in front_matter.items()]) + "\n---\n\n"
|
||||
|
||||
content += front_matter
|
||||
|
||||
# 模块函数
|
||||
for func in module_info.functions:
|
||||
args_with_type = [f"{arg[0]}: {arg[1]}" if arg[1] else arg[0] for arg in func.args]
|
||||
content += f"### ***{'async ' if func.is_async else ''}def*** `{func.name}({', '.join(args_with_type)}) -> {func.return_type}`\n\n"
|
||||
|
||||
func.docstring = func.docstring.replace("\n", "\n\n")
|
||||
content += f"{func.docstring}\n\n"
|
||||
|
||||
# 函数源代码可展开区域
|
||||
content += f"<details>\n<summary>源代码</summary>\n\n```python\n{func.source_code}\n```\n</details>\n\n"
|
||||
|
||||
# 类
|
||||
for cls in module_info.classes:
|
||||
if cls.inherit:
|
||||
inherit = f"({', '.join(cls.inherit)})" if cls.inherit else ""
|
||||
content += f"### ***class*** `{cls.name}{inherit}`\n\n"
|
||||
else:
|
||||
content += f"### ***class*** `{cls.name}`\n\n"
|
||||
|
||||
cls.docstring = cls.docstring.replace("\n", "\n\n")
|
||||
content += f"{cls.docstring}\n\n"
|
||||
for method in cls.methods:
|
||||
# 类函数
|
||||
|
||||
if method.type != DefType.METHOD:
|
||||
args_with_type = [f"{arg[0]}: {arg[1]}" if arg[1] else arg[0] for arg in method.args]
|
||||
content += f"###   ***@{method.type.value}***\n"
|
||||
else:
|
||||
# self不加类型提示
|
||||
args_with_type = [f"{arg[0]}: {arg[1]}" if arg[1] and arg[0] != "self" else arg[0] for arg in method.args]
|
||||
content += f"###   ***{'async ' if method.is_async else ''}def*** `{method.name}({', '.join(args_with_type)}) -> {method.return_type}`\n\n"
|
||||
|
||||
method.docstring = method.docstring.replace("\n", "\n\n")
|
||||
content += f" {method.docstring}\n\n"
|
||||
# 函数源代码可展开区域
|
||||
|
||||
if lang == "zh-CN":
|
||||
TEXT_SOURCE_CODE = "源代码"
|
||||
else:
|
||||
TEXT_SOURCE_CODE = "Source Code"
|
||||
|
||||
content += f"<details>\n<summary>{TEXT_SOURCE_CODE}</summary>\n\n```python\n{method.source_code}\n```\n</details>\n\n"
|
||||
for attr in cls.attributes:
|
||||
content += f"###   ***attr*** `{attr.name}: {attr.type}`\n\n"
|
||||
|
||||
# 模块属性
|
||||
for attr in module_info.attributes:
|
||||
if attr.type == NO_TYPE_HINT:
|
||||
content += f"### ***var*** `{attr.name} = {attr.value}`\n\n"
|
||||
else:
|
||||
content += f"### ***var*** `{attr.name}: {attr.type} = {attr.value}`\n\n"
|
||||
|
||||
attr.docstring = attr.docstring.replace("\n", "\n\n")
|
||||
content += f"{attr.docstring}\n\n"
|
||||
|
||||
return content
|
||||
|
||||
|
||||
def generate_docs(module_folder: str, output_dir: str, with_top: bool = False, lang: str = "zh-CN", ignored_paths=None):
|
||||
"""
|
||||
生成文档
|
||||
Args:
|
||||
module_folder: 模块文件夹
|
||||
output_dir: 输出文件夹
|
||||
with_top: 是否包含顶层文件夹 False时例如docs/api/module_a, docs/api/module_b, True时例如docs/api/module/module_a.md, docs/api/module/module_b.md
|
||||
ignored_paths: 忽略的路径
|
||||
lang: 语言
|
||||
"""
|
||||
if ignored_paths is None:
|
||||
ignored_paths = []
|
||||
file_data: dict[str, str] = {} # 路径 -> 字串
|
||||
|
||||
file_list = get_file_list(module_folder)
|
||||
|
||||
# 清理输出目录
|
||||
shutil.rmtree(output_dir, ignore_errors=True)
|
||||
os.mkdir(output_dir)
|
||||
|
||||
replace_data = {
|
||||
"__init__": "indedx",
|
||||
".py" : ".md",
|
||||
}
|
||||
|
||||
for pyfile_path in file_list:
|
||||
if any(ignored_path.replace("\\", "/") in pyfile_path.replace("\\", "/") for ignored_path in ignored_paths):
|
||||
continue
|
||||
|
||||
no_module_name_pyfile_path = get_relative_path(module_folder, pyfile_path) # 去头路径
|
||||
|
||||
# markdown相对路径
|
||||
rel_md_path = pyfile_path if with_top else no_module_name_pyfile_path
|
||||
for rk, rv in replace_data.items():
|
||||
rel_md_path = rel_md_path.replace(rk, rv)
|
||||
|
||||
abs_md_path = os.path.join(output_dir, rel_md_path)
|
||||
|
||||
# 获取模块信息
|
||||
module_info = get_module_info_normal(pyfile_path)
|
||||
|
||||
# 生成markdown
|
||||
|
||||
if "README" in abs_md_path:
|
||||
front_matter = {
|
||||
"title" : module_info.module_path.replace(".__init__", "").replace("_", "\\n"),
|
||||
"index" : "true",
|
||||
"icon" : "laptop-code",
|
||||
"category": "API"
|
||||
}
|
||||
else:
|
||||
front_matter = {
|
||||
"title" : module_info.module_path.replace("_", "\\n"),
|
||||
"order" : "1",
|
||||
"icon" : "laptop-code",
|
||||
"category": "API"
|
||||
}
|
||||
|
||||
md_content = generate_markdown(module_info, front_matter)
|
||||
print(f"Generate {pyfile_path} -> {abs_md_path}")
|
||||
file_data[abs_md_path] = md_content
|
||||
|
||||
write_to_files(file_data)
|
||||
|
||||
|
||||
# 入口脚本
|
||||
if __name__ == '__main__':
|
||||
# 这里填入你的模块路径
|
||||
generate_docs('mbcp', 'docs/api', with_top=False, ignored_paths=["liteyuki/plugins"], lang="zh-CN")
|
||||
# generate_docs('mbcp', 'docs/en/api', with_top=False, ignored_paths=["liteyuki/plugins"], lang="en")
|
10
docs/package.json
Normal file
10
docs/package.json
Normal file
@ -0,0 +1,10 @@
|
||||
{
|
||||
"devDependencies": {
|
||||
"vitepress": "^1.3.4"
|
||||
},
|
||||
"scripts": {
|
||||
"docs:dev": "vitepress dev",
|
||||
"docs:build": "vitepress build",
|
||||
"docs:preview": "vitepress preview"
|
||||
}
|
||||
}
|
1172
docs/pnpm-lock.yaml
Normal file
1172
docs/pnpm-lock.yaml
Normal file
File diff suppressed because it is too large
Load Diff
@ -16,7 +16,7 @@ from tests.answer import output_ans
|
||||
class TestAngle:
|
||||
def test_radian_to_degree(self):
|
||||
angle = AnyAngle(1, is_radian=True)
|
||||
output_ans(190 / PI, angle.degree, question="弧度转角度1")
|
||||
output_ans(180 / PI, angle.degree, question="弧度转角度1")
|
||||
|
||||
angle = AnyAngle(2, is_radian=True)
|
||||
output_ans(360 / PI, angle.degree, question="弧度转角度2")
|
||||
|
Loading…
Reference in New Issue
Block a user