diff --git a/404.html b/404.html index 61c5b47..7aad817 100644 --- a/404.html +++ b/404.html @@ -6,16 +6,16 @@ 404 | MBCP docs - + - +
- + \ No newline at end of file diff --git a/api-ex.html b/api-ex.html deleted file mode 100644 index 7fbca92..0000000 --- a/api-ex.html +++ /dev/null @@ -1,459 +0,0 @@ - - - - - - Runtime API Examples | MBCP docs - - - - - - - - - - - - - -
MBCP docs

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Runtime API Examples ​

This page demonstrates usage of some of the runtime APIs provided by VitePress.

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:

md
<script setup>
-import { useData } from 'vitepress'
-
-const { theme, page, frontmatter } = useData()
-</script>
-
-## Results
-
-### Theme Data
-<pre>{{ theme }}</pre>
-
-### Page Data
-<pre>{{ page }}</pre>
-
-### Page Frontmatter
-<pre>{{ frontmatter }}</pre>

Results ​

Theme Data ​

{
-  "socialLinks": [
-    {
-      "icon": "github",
-      "link": "https://github.com/snowykami/mbcp"
-    }
-  ],
-  "sidebar": {
-    "/api/": [
-      {
-        "text": "api",
-        "items": [
-          {
-            "text": "mbcp",
-            "link": "/api/index.md"
-          },
-          {
-            "text": "mp_math",
-            "items": [
-              {
-                "text": "mbcp.mp_math",
-                "link": "/api/mp_math/index.md"
-              },
-              {
-                "text": "mbcp.mp_math.angle",
-                "link": "/api/mp_math/angle.md"
-              },
-              {
-                "text": "mbcp.mp_math.const",
-                "link": "/api/mp_math/const.md"
-              },
-              {
-                "text": "mbcp.mp_math.equation",
-                "link": "/api/mp_math/equation.md"
-              },
-              {
-                "text": "mbcp.mp_math.line",
-                "link": "/api/mp_math/line.md"
-              },
-              {
-                "text": "mbcp.mp_math.mp_math_typing",
-                "link": "/api/mp_math/mp_math_typing.md"
-              },
-              {
-                "text": "mbcp.mp_math.plane",
-                "link": "/api/mp_math/plane.md"
-              },
-              {
-                "text": "mbcp.mp_math.point",
-                "link": "/api/mp_math/point.md"
-              },
-              {
-                "text": "mbcp.mp_math.segment",
-                "link": "/api/mp_math/segment.md"
-              },
-              {
-                "text": "mbcp.mp_math.utils",
-                "link": "/api/mp_math/utils.md"
-              },
-              {
-                "text": "mbcp.mp_math.vector",
-                "link": "/api/mp_math/vector.md"
-              }
-            ]
-          },
-          {
-            "text": "particle",
-            "items": [
-              {
-                "text": "mbcp.particle",
-                "link": "/api/particle/index.md"
-              }
-            ]
-          },
-          {
-            "text": "presets",
-            "items": [
-              {
-                "text": "mbcp.presets",
-                "link": "/api/presets/index.md"
-              },
-              {
-                "text": "model",
-                "items": [
-                  {
-                    "text": "mbcp.presets.model",
-                    "link": "/api/presets/model/index.md"
-                  }
-                ]
-              }
-            ]
-          }
-        ]
-      }
-    ],
-    "/guide/": [
-      {
-        "text": "guide",
-        "items": [
-          {
-            "text": "开始不了一点",
-            "link": "/guide/index.md"
-          }
-        ]
-      }
-    ],
-    "/en/": [
-      {
-        "text": "en",
-        "items": [
-          {
-            "text": "api",
-            "items": [
-              {
-                "text": "mbcp",
-                "link": "/en/api/index.md"
-              },
-              {
-                "text": "mp_math",
-                "items": [
-                  {
-                    "text": "mbcp.mp_math",
-                    "link": "/en/api/mp_math/index.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.angle",
-                    "link": "/en/api/mp_math/angle.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.const",
-                    "link": "/en/api/mp_math/const.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.equation",
-                    "link": "/en/api/mp_math/equation.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.line",
-                    "link": "/en/api/mp_math/line.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.mp_math_typing",
-                    "link": "/en/api/mp_math/mp_math_typing.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.plane",
-                    "link": "/en/api/mp_math/plane.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.point",
-                    "link": "/en/api/mp_math/point.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.segment",
-                    "link": "/en/api/mp_math/segment.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.utils",
-                    "link": "/en/api/mp_math/utils.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.vector",
-                    "link": "/en/api/mp_math/vector.md"
-                  }
-                ]
-              },
-              {
-                "text": "particle",
-                "items": [
-                  {
-                    "text": "mbcp.particle",
-                    "link": "/en/api/particle/index.md"
-                  }
-                ]
-              },
-              {
-                "text": "presets",
-                "items": [
-                  {
-                    "text": "mbcp.presets",
-                    "link": "/en/api/presets/index.md"
-                  },
-                  {
-                    "text": "model",
-                    "items": [
-                      {
-                        "text": "mbcp.presets.model",
-                        "link": "/en/api/presets/model/index.md"
-                      }
-                    ]
-                  }
-                ]
-              }
-            ]
-          }
-        ]
-      }
-    ],
-    "/ja/": [
-      {
-        "text": "ja",
-        "items": [
-          {
-            "text": "api",
-            "items": [
-              {
-                "text": "mbcp",
-                "link": "/ja/api/index.md"
-              },
-              {
-                "text": "mp_math",
-                "items": [
-                  {
-                    "text": "mbcp.mp_math",
-                    "link": "/ja/api/mp_math/index.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.angle",
-                    "link": "/ja/api/mp_math/angle.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.const",
-                    "link": "/ja/api/mp_math/const.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.equation",
-                    "link": "/ja/api/mp_math/equation.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.line",
-                    "link": "/ja/api/mp_math/line.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.mp_math_typing",
-                    "link": "/ja/api/mp_math/mp_math_typing.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.plane",
-                    "link": "/ja/api/mp_math/plane.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.point",
-                    "link": "/ja/api/mp_math/point.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.segment",
-                    "link": "/ja/api/mp_math/segment.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.utils",
-                    "link": "/ja/api/mp_math/utils.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.vector",
-                    "link": "/ja/api/mp_math/vector.md"
-                  }
-                ]
-              },
-              {
-                "text": "particle",
-                "items": [
-                  {
-                    "text": "mbcp.particle",
-                    "link": "/ja/api/particle/index.md"
-                  }
-                ]
-              },
-              {
-                "text": "presets",
-                "items": [
-                  {
-                    "text": "mbcp.presets",
-                    "link": "/ja/api/presets/index.md"
-                  },
-                  {
-                    "text": "model",
-                    "items": [
-                      {
-                        "text": "mbcp.presets.model",
-                        "link": "/ja/api/presets/model/index.md"
-                      }
-                    ]
-                  }
-                ]
-              }
-            ]
-          }
-        ]
-      }
-    ],
-    "/zht/": [
-      {
-        "text": "zht",
-        "items": [
-          {
-            "text": "api",
-            "items": [
-              {
-                "text": "mbcp",
-                "link": "/zht/api/index.md"
-              },
-              {
-                "text": "mp_math",
-                "items": [
-                  {
-                    "text": "mbcp.mp_math",
-                    "link": "/zht/api/mp_math/index.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.angle",
-                    "link": "/zht/api/mp_math/angle.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.const",
-                    "link": "/zht/api/mp_math/const.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.equation",
-                    "link": "/zht/api/mp_math/equation.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.line",
-                    "link": "/zht/api/mp_math/line.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.mp_math_typing",
-                    "link": "/zht/api/mp_math/mp_math_typing.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.plane",
-                    "link": "/zht/api/mp_math/plane.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.point",
-                    "link": "/zht/api/mp_math/point.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.segment",
-                    "link": "/zht/api/mp_math/segment.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.utils",
-                    "link": "/zht/api/mp_math/utils.md"
-                  },
-                  {
-                    "text": "mbcp.mp_math.vector",
-                    "link": "/zht/api/mp_math/vector.md"
-                  }
-                ]
-              },
-              {
-                "text": "particle",
-                "items": [
-                  {
-                    "text": "mbcp.particle",
-                    "link": "/zht/api/particle/index.md"
-                  }
-                ]
-              },
-              {
-                "text": "presets",
-                "items": [
-                  {
-                    "text": "mbcp.presets",
-                    "link": "/zht/api/presets/index.md"
-                  },
-                  {
-                    "text": "model",
-                    "items": [
-                      {
-                        "text": "mbcp.presets.model",
-                        "link": "/zht/api/presets/model/index.md"
-                      }
-                    ]
-                  }
-                ]
-              }
-            ]
-          }
-        ]
-      }
-    ],
-    "/api-ex.md/": [
-      {
-        "text": "Runtime API Examples",
-        "items": []
-      }
-    ],
-    "/md-ex.md/": [
-      {
-        "text": "Markdown Extension Examples",
-        "items": []
-      }
-    ]
-  },
-  "nav": [
-    {
-      "text": "快速开始",
-      "link": "/guide/"
-    },
-    {
-      "text": "API文档",
-      "link": "/api/"
-    },
-    {
-      "text": "实例",
-      "link": "/demo/"
-    }
-  ]
-}

Page Data ​

{
-  "title": "Runtime API Examples",
-  "description": "",
-  "frontmatter": {
-    "outline": "deep"
-  },
-  "headers": [],
-  "relativePath": "api-ex.md",
-  "filePath": "api-ex.md"
-}

Page Frontmatter ​

{
-  "outline": "deep"
-}

More ​

Check out the documentation for the full list of runtime APIs.

- - - - \ No newline at end of file diff --git a/api/index.html b/api/index.html index 0172a60..d49fdd0 100644 --- a/api/index.html +++ b/api/index.html @@ -6,19 +6,19 @@ mbcp | MBCP docs - + - + - - - + + + -
MBCP docs

简体中文

English
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繁體中文

简体中文

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繁體中文

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- +
MBCP docs

简体中文

English
日本語
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mbcp ​

说明: 本模块塞了一些预设的粒子生成器

文档由 VitePress 构建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/api/mp_math/angle.html b/api/mp_math/angle.html index b64c09f..4417bde 100644 --- a/api/mp_math/angle.html +++ b/api/mp_math/angle.html @@ -6,18 +6,18 @@ mbcp.mp_math.angle | MBCP docs - + - + - - - + + + -
MBCP docs

简体中文

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class Angle ​

class AnyAngle(Angle) ​

method __init__(self, value: float, is_radian: bool = False) ​

说明: 任意角度。

参数:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源代码
python
def __init__(self, value: float, is_radian: bool=False):
+    
MBCP docs
简体中文
English
日本語
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简体中文
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mbcp.mp_math.angle ​
说明: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
说明: 任意角度。
参数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源代码
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -27,96 +27,96 @@
     if is_radian:
         self.radian = value
     else:
-        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
说明: 余角：两角的和为90°。
返回: 余角
源代码
python
@property
+        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
说明: 余角：两角的和为90°。
返回: 余角
源代码
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)
@property ​
method supplementary(self) -> AnyAngle ​
说明: 补角：两角的和为180°。
返回: 补角
源代码
python
@property
+    return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
@property ​
method supplementary(self) -> AnyAngle ​
说明: 补角：两角的和为180°。
返回: 补角
源代码
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)
@property ​
method degree(self) -> float ​
说明: 角度。
返回: 弧度
源代码
python
@property
+    return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
@property ​
method degree(self) -> float ​
说明: 角度。
返回: 弧度
源代码
python
@property
 def degree(self) -> float:
     """
         角度。
         Returns:
             弧度
         """
-    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
说明: 最小正角。
返回: 最小正角度
源代码
python
@property
+    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
说明: 最小正角。
返回: 最小正角度
源代码
python
@property
 def minimum_positive(self) -> 'AnyAngle':
     """
         最小正角。
         Returns:
             最小正角度
         """
-    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
说明: 最大负角。
返回: 最大负角度
源代码
python
@property
+    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
说明: 最大负角。
返回: 最大负角度
源代码
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)
@property ​
method sin(self) -> float ​
说明: 正弦值。
返回: 正弦值
源代码
python
@property
+    return AnyAngle(-self.radian % (2 * PI), is_radian=True)
@property ​
method sin(self) -> float ​
说明: 正弦值。
返回: 正弦值
源代码
python
@property
 def sin(self) -> float:
     """
         正弦值。
         Returns:
             正弦值
         """
-    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
说明: 余弦值。
返回: 余弦值
源代码
python
@property
+    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
说明: 余弦值。
返回: 余弦值
源代码
python
@property
 def cos(self) -> float:
     """
         余弦值。
         Returns:
             余弦值
         """
-    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
说明: 正切值。
返回: 正切值
源代码
python
@property
+    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
说明: 正切值。
返回: 正切值
源代码
python
@property
 def tan(self) -> float:
     """
         正切值。
         Returns:
             正切值
         """
-    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
说明: 余切值。
返回: 余切值
源代码
python
@property
+    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
说明: 余切值。
返回: 余切值
源代码
python
@property
 def cot(self) -> float:
     """
         余切值。
         Returns:
             余切值
         """
-    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
说明: 正割值。
返回: 正割值
源代码
python
@property
+    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
说明: 正割值。
返回: 正割值
源代码
python
@property
 def sec(self) -> float:
     """
         正割值。
         Returns:
             正割值
         """
-    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
说明: 余割值。
返回: 余割值
源代码
python
@property
+    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
说明: 余割值。
返回: 余割值
源代码
python
@property
 def csc(self) -> float:
     """
         余割值。
         Returns:
             余割值
         """
-    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
源代码
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
源代码
python
def __eq__(self, other):
-    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
源代码
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
源代码
python
def __mul__(self, other: float) -> 'AnyAngle':
-    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
源代码
python
@overload
+    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
源代码
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
源代码
python
def __eq__(self, other):
+    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
源代码
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
源代码
python
def __mul__(self, other: float) -> 'AnyAngle':
+    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
源代码
python
@overload
 def __truediv__(self, other: float) -> 'AnyAngle':
-    ...
@overload ​
method self / other: AnyAngle => float ​
源代码
python
@overload
+    ...
@overload ​
method self / other: AnyAngle => float ​
源代码
python
@overload
 def __truediv__(self, other: 'AnyAngle') -> float:
-    ...
method self / other ​
源代码
python
def __truediv__(self, other):
+    ...
method self / other ​
源代码
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)

-    
+    return AnyAngle(self.radian / other, is_radian=True)

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+ \ No newline at end of file diff --git a/api/mp_math/const.html b/api/mp_math/const.html index 982a8d2..d19f0f9 100644 --- a/api/mp_math/const.html +++ b/api/mp_math/const.html @@ -6,19 +6,19 @@ mbcp.mp_math.const | MBCP docs - + - + - - - + + + -
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var EPSILON = 0.0001 ​

  • 说明: ε

var APPROX = 0.001 ​

  • 说明: 约等于误差
- +
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mbcp.mp_math.const ​

说明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 说明: 常量 π

var E = math.e ​

  • 说明: 自然对数的底 exp(1)

var GOLDEN_RATIO = (1 + math.sqrt(5)) / 2 ​

  • 说明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 说明: 欧拉常数

var EPSILON = 0.0001 ​

  • 说明: 精度误差

var APPROX = 0.001 ​

  • 说明: 约等于判定误差

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+ \ No newline at end of file diff --git a/api/mp_math/equation.html b/api/mp_math/equation.html index 8e3ca18..785068e 100644 --- a/api/mp_math/equation.html +++ b/api/mp_math/equation.html @@ -6,18 +6,40 @@ mbcp.mp_math.equation | MBCP docs - + - + - - - + + + -
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func get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc ​

说明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。

WARNING

目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升

参数:

  • 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

返回: 偏导函数

引发:

  • ValueError 无效变量类型
源代码
python
def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number=EPSILON) -> MultiVarsFunc:
+    
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mbcp.mp_math.equation ​
说明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源代码
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    """
+        曲线方程。
+        Args:
+            x_func: x函数
+            y_func: y函数
+            z_func: z函数
+        """
+    self.x_func = x_func
+    self.y_func = y_func
+    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
说明: 计算曲线上的点。
参数:
  • *t:
  • 参数:
返回: 目标点
源代码
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
+    """
+        计算曲线上的点。
+        Args:
+            *t:
+                参数
+        Returns:
+            目标点
+        """
+    if len(t) == 1:
+        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
+    else:
+        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc ​
说明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。
WARNING
目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升
参数:
  • 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
返回: 偏导函数
引发:
  • ValueError 无效变量类型
源代码
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。
     > [!warning]
@@ -59,7 +81,7 @@
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
func curry(*args: Var) -> OneVarFunc ​
说明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
参数:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源代码
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
+        raise ValueError('Invalid var type')
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
说明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
参数:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源代码
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
     """
     对多参数函数进行柯里化。
     > [!tip]
@@ -74,30 +96,8 @@
     def curried_func(*args2: Var) -> Var:
         """@litedoc-hide"""
         return func(*args, *args2)
-    return curried_func
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源代码
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
-    """
-        曲线方程。
-        Args:
-            x_func: x函数
-            y_func: y函数
-            z_func: z函数
-        """
-    self.x_func = x_func
-    self.y_func = y_func
-    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
说明: 计算曲线上的点。
参数:
  • *t:
  • 参数:
源代码
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
-    """
-        计算曲线上的点。
-        Args:
-            *t:
-                参数
-        Returns:
-
-        """
-    if len(t) == 1:
-        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
-    else:
-        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])

-    
+    return curried_func

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+ \ No newline at end of file diff --git a/api/mp_math/function.html b/api/mp_math/function.html new file mode 100644 index 0000000..6cd66ac --- /dev/null +++ b/api/mp_math/function.html @@ -0,0 +1,40 @@ + + + + + + mbcp.mp_math.function | MBCP docs + + + + + + + + + + + + + +
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mbcp.mp_math.function ​

说明: AAA

func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​

说明: 计算三元函数在某点的梯度向量。

TIP

已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)

参数:

  • func: 三元函数
  • p: 点
  • epsilon: 偏移量

返回: 梯度

源代码
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    """
+    计算三元函数在某点的梯度向量。
+    > [!tip]
+    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
+    $\\nabla f(x_0, y_0, z_0) = \\left(\\frac{\\partial f}{\\partial x}, \\frac{\\partial f}{\\partial y}, \\frac{\\partial f}{\\partial z}\\right)$
+    Args:
+        func: 三元函数
+        p: 点
+        epsilon: 偏移量
+    Returns:
+        梯度
+    """
+    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
+    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
+    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
+    return Vector3(dx, dy, dz)

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+ + + + \ No newline at end of file diff --git a/api/mp_math/index.html b/api/mp_math/index.html index f51bdcd..e06fd89 100644 --- a/api/mp_math/index.html +++ b/api/mp_math/index.html @@ -6,19 +6,19 @@ mbcp.mp_math | MBCP docs - + - + - - - + + + -
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- +
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mbcp.mp_math ​

说明: 本包定义了一些常用的导入，可直接从mbcp.mp_math导入使用 导入的类有：

  • AnyAngle：任意角
  • CurveEquation：曲线方程
  • Line3：三维直线
  • Plane3：三维平面
  • Point3：三维点
  • Segment3：三维线段
  • Vector3：三维向量

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+ \ No newline at end of file diff --git a/api/mp_math/line.html b/api/mp_math/line.html index 510ea65..9f5a716 100644 --- a/api/mp_math/line.html +++ b/api/mp_math/line.html @@ -6,18 +6,18 @@ mbcp.mp_math.line | MBCP docs - + - + - - - + + + -
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class Line3 ​

method __init__(self, point: Point3, direction: Vector3) ​

说明: 三维空间中的直线。由一个点和一个方向向量确定。

参数:

  • point: 直线上的一点
  • direction: 直线的方向向量
源代码
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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mbcp.mp_math.line ​
说明: 本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
说明: 三维空间中的直线。由一个点和一个方向向量确定。
参数:
  • point: 直线上的一点
  • direction: 直线的方向向量
源代码
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:
@@ -25,7 +25,7 @@
             direction: 直线的方向向量
         """
     self.point = point
-    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
说明: 判断两条直线是否近似相等。
参数:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似相等
源代码
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
+    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
说明: 判断两条直线是否近似相等。
参数:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似相等
源代码
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
     """
         判断两条直线是否近似相等。
         Args:
@@ -34,7 +34,7 @@
         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)
method cal_angle(self, other: Line3) -> AnyAngle ​
说明: 计算直线和直线之间的夹角。
参数:
  • other: 另一条直线
返回: 夹角弧度
引发:
  • TypeError 不支持的类型
源代码
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
+    return self.is_approx_parallel(other, epsilon) and (self.point - other.point).is_approx_parallel(self.direction, epsilon)
method cal_angle(self, other: Line3) -> AnyAngle ​
说明: 计算直线和直线之间的夹角。
参数:
  • other: 另一条直线
返回: 夹角弧度
引发:
  • TypeError 不支持的类型
源代码
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
     """
         计算直线和直线之间的夹角。
         Args:
@@ -44,7 +44,7 @@
         Raises:
             TypeError: 不支持的类型
         """
-    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
说明: 计算直线和直线或点之间的距离。
参数:
  • other: 平行直线或点
返回: 距离
引发:
  • TypeError 不支持的类型
源代码
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
+    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
说明: 计算直线和直线或点之间的距离。
参数:
  • other: 平行直线或点
返回: 距离
引发:
  • TypeError 不支持的类型
源代码
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
     """
         计算直线和直线或点之间的距离。
         Args:
@@ -67,7 +67,7 @@
     elif isinstance(other, Point3):
         return (other - self.point).cross(self.direction).length / self.direction.length
     else:
-        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
说明: 计算两条直线的交点。
参数:
  • other: 另一条直线
返回: 交点
引发:
  • ValueError 直线平行
  • ValueError 直线不共面
源代码
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
+        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
说明: 计算两条直线的交点。
参数:
  • other: 另一条直线
返回: 交点
引发:
  • ValueError 直线平行
  • ValueError 直线不共面
源代码
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
     """
         计算两条直线的交点。
         Args:
@@ -82,7 +82,7 @@
         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
method cal_perpendicular(self, point: Point3) -> Line3 ​
说明: 计算直线经过指定点p的垂线。
参数:
  • point: 指定点
返回: 垂线
源代码
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
+    return self.point + self.direction.cross(other.direction) @ other.direction.cross(self.point - other.point) / self.direction.cross(other.direction).length ** 2 * self.direction
method cal_perpendicular(self, point: Point3) -> Line3 ​
说明: 计算直线经过指定点p的垂线。
参数:
  • point: 指定点
返回: 垂线
源代码
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
     """
         计算直线经过指定点p的垂线。
         Args:
@@ -90,7 +90,7 @@
         Returns:
             垂线
         """
-    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
说明: 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。
参数:
  • t: 参数t
返回: 点
源代码
python
def get_point(self, t: RealNumber) -> 'Point3':
+    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
说明: 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。
参数:
  • t: 参数t
返回: 点
源代码
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:
@@ -98,13 +98,13 @@
         Returns:
             点
         """
-    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
说明: 获取直线的参数方程。
返回: x(t), y(t), z(t)
源代码
python
def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:
+    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
说明: 获取直线的参数方程。
返回: x(t), y(t), z(t)
源代码
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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
说明: 判断两条直线是否近似平行。
参数:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似平行
源代码
python
def is_approx_parallel(self, other: 'Line3', epsilon: float=1e-06) -> bool:
+    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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
说明: 判断两条直线是否近似平行。
参数:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似平行
源代码
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:
@@ -113,7 +113,7 @@
         Returns:
             是否近似平行
         """
-    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
说明: 判断两条直线是否平行。
参数:
  • other: 另一条直线
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Line3') -> bool:
+    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
说明: 判断两条直线是否平行。
参数:
  • other: 另一条直线
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Line3') -> bool:
     """
         判断两条直线是否平行。
         Args:
@@ -121,7 +121,7 @@
         Returns:
             是否平行
         """
-    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
说明: 判断两条直线是否共线。
参数:
  • other: 另一条直线
返回: 是否共线
源代码
python
def is_collinear(self, other: 'Line3') -> bool:
+    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
说明: 判断两条直线是否共线。
参数:
  • other: 另一条直线
返回: 是否共线
源代码
python
def is_collinear(self, other: 'Line3') -> bool:
     """
         判断两条直线是否共线。
         Args:
@@ -129,7 +129,7 @@
         Returns:
             是否共线
         """
-    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
说明: 判断点是否在直线上。
参数:
  • point: 点
返回: 是否在直线上
源代码
python
def is_point_on(self, point: 'Point3') -> bool:
+    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
说明: 判断点是否在直线上。
参数:
  • point: 点
返回: 是否在直线上
源代码
python
def is_point_on(self, point: 'Point3') -> bool:
     """
         判断点是否在直线上。
         Args:
@@ -137,7 +137,7 @@
         Returns:
             是否在直线上
         """
-    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
说明: 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。
参数:
  • other: 另一条直线
返回: 是否共面
源代码
python
def is_coplanar(self, other: 'Line3') -> bool:
+    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
说明: 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。
参数:
  • other: 另一条直线
返回: 是否共面
源代码
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。
@@ -146,7 +146,7 @@
         Returns:
             是否共面
         """
-    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
说明: 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
源代码
python
def simplify(self):
+    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
说明: 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
源代码
python
def simplify(self):
     """
         简化直线方程，等价相等。
         自体简化，不返回值。
@@ -159,7 +159,7 @@
     if self.direction.y == 0:
         self.point.y = 0
     if self.direction.z == 0:
-        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
说明: 工厂函数 由两点构造直线。
参数:
  • p1: 点1
  • p2: 点2
返回: 直线
源代码
python
@classmethod
+        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
说明: 工厂函数 由两点构造直线。
参数:
  • p1: 点1
  • p2: 点2
返回: 直线
源代码
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     """
         工厂函数 由两点构造直线。
@@ -170,7 +170,7 @@
             直线
         """
     direction = p2 - p1
-    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
说明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
参数:
  • other: 另一条直线
返回: 交点
源代码
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
说明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
参数:
  • other: 另一条直线
返回: 交点
源代码
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     """
         计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
         Args:
@@ -183,7 +183,7 @@
     elif self.is_parallel(other) or not self.is_coplanar(other):
         return None
     else:
-        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
说明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
参数:
  • other:
源代码
python
def __eq__(self, other) -> bool:
+        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
说明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
参数:
  • other:
源代码
python
def __eq__(self, other) -> bool:
     """
         判断两条直线是否等价。
 
@@ -194,8 +194,8 @@
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

-    
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

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+ \ No newline at end of file diff --git a/api/mp_math/mp_math_typing.html b/api/mp_math/mp_math_typing.html index dd56561..8eb8358 100644 --- a/api/mp_math/mp_math_typing.html +++ b/api/mp_math/mp_math_typing.html @@ -6,19 +6,19 @@ mbcp.mp_math.mp_math_typing | MBCP docs - + - + - - - + + + -
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var RealNumber = int | float ​

  • 类型: TypeAlias

  • 说明: 实数

var Number = RealNumber | complex ​

  • 类型: TypeAlias

  • 说明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 说明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 说明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 类型: TypeAlias

  • 说明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • 类型: TypeAlias

  • 说明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • 类型: TypeAlias

  • 说明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 类型: TypeAlias

  • 说明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • 类型: TypeAlias

  • 说明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • 类型: TypeAlias

  • 说明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 类型: TypeAlias

  • 说明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • 类型: TypeAlias

  • 说明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • 类型: TypeAlias

  • 说明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 类型: TypeAlias

  • 说明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • 类型: TypeAlias

  • 说明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • 类型: TypeAlias

  • 说明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 类型: TypeAlias

  • 说明: 多元函数

- +
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mbcp.mp_math.mp_math_typing ​

说明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • 类型: TypeAlias

  • 说明: 实数

var Number = RealNumber | complex ​

  • 类型: TypeAlias

  • 说明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 说明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 说明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 类型: TypeAlias

  • 说明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • 类型: TypeAlias

  • 说明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • 类型: TypeAlias

  • 说明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 类型: TypeAlias

  • 说明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • 类型: TypeAlias

  • 说明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • 类型: TypeAlias

  • 说明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 类型: TypeAlias

  • 说明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • 类型: TypeAlias

  • 说明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • 类型: TypeAlias

  • 说明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 类型: TypeAlias

  • 说明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • 类型: TypeAlias

  • 说明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • 类型: TypeAlias

  • 说明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 类型: TypeAlias

  • 说明: 多元函数

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+ \ No newline at end of file diff --git a/api/mp_math/plane.html b/api/mp_math/plane.html index bebe790..7a0218a 100644 --- a/api/mp_math/plane.html +++ b/api/mp_math/plane.html @@ -6,18 +6,18 @@ mbcp.mp_math.plane | MBCP docs - + - + - - - + + + -
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class Plane3 ​

method __init__(self, a: float, b: float, c: float, d: float) ​

说明: 平面方程：ax + by + cz + d = 0

参数:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源代码
python
def __init__(self, a: float, b: float, c: float, d: float):
+    
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mbcp.mp_math.plane ​
说明: 本模块定义了三维空间中的平面类
class Plane3 ​
method __init__(self, a: float, b: float, c: float, d: float) ​
说明: 平面方程：ax + by + cz + d = 0
参数:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源代码
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -29,7 +29,7 @@
     self.a = a
     self.b = b
     self.c = c
-    self.d = d
method approx(self, other: Plane3) -> bool ​
说明: 判断两个平面是否近似相等。
参数:
  • other: 另一个平面
返回: 是否近似相等
源代码
python
def approx(self, other: 'Plane3') -> bool:
+    self.d = d
method approx(self, other: Plane3) -> bool ​
说明: 判断两个平面是否近似相等。
参数:
  • other: 另一个平面
返回: 是否近似相等
源代码
python
def approx(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否近似相等。
         Args:
@@ -47,7 +47,7 @@
         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
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
说明: 计算平面与平面之间的夹角。
参数:
  • other: 另一个平面
返回: 夹角弧度
引发:
  • TypeError 不支持的类型
源代码
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
+        return False
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
说明: 计算平面与平面之间的夹角。
参数:
  • other: 另一个平面
返回: 夹角弧度
引发:
  • TypeError 不支持的类型
源代码
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     """
         计算平面与平面之间的夹角。
         Args:
@@ -62,7 +62,7 @@
     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)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
说明: 计算平面与平面或点之间的距离。
参数:
  • other: 另一个平面或点
返回: 距离
引发:
  • TypeError 不支持的类型
源代码
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
说明: 计算平面与平面或点之间的距离。
参数:
  • other: 另一个平面或点
返回: 距离
引发:
  • TypeError 不支持的类型
源代码
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
     """
         计算平面与平面或点之间的距离。
         Args:
@@ -77,7 +77,7 @@
     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)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
说明: 计算两平面的交线。
参数:
  • other: 另一个平面
返回: 两平面的交线
源代码
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
说明: 计算两平面的交线。
参数:
  • other: 另一个平面
返回: 两平面的交线
源代码
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     """
         计算两平面的交线。
         Args:
@@ -102,7 +102,7 @@
         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)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
说明: 计算平面与直线的交点。
参数:
  • other: 不与平面平行或在平面上的直线
返回: 交点
引发:
  • ValueError 平面与直线平行或重合
源代码
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
+    return Line3(Point3(x, y, z), direction)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
说明: 计算平面与直线的交点。
参数:
  • other: 不与平面平行或在平面上的直线
返回: 交点
引发:
  • ValueError 平面与直线平行或重合
源代码
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
     """
         计算平面与直线的交点。
         Args:
@@ -116,7 +116,7 @@
         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))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
说明: 计算平行于该平面且过指定点的平面。
参数:
  • point: 指定点
返回: 所求平面
源代码
python
def cal_parallel_plane3(self, point: 'Point3') -> 'Plane3':
+    return Point3(x(t), y(t), z(t))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
说明: 计算平行于该平面且过指定点的平面。
参数:
  • point: 指定点
返回: 所求平面
源代码
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:
@@ -124,7 +124,7 @@
         Returns:
             所求平面
         """
-    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
说明: 判断两个平面是否平行。
参数:
  • other: 另一个平面
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Plane3') -> bool:
+    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
说明: 判断两个平面是否平行。
参数:
  • other: 另一个平面
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否平行。
         Args:
@@ -132,14 +132,14 @@
         Returns:
             是否平行
         """
-    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
说明: 平面的法向量。
返回: 法向量
源代码
python
@property
+    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
说明: 平面的法向量。
返回: 法向量
源代码
python
@property
 def normal(self) -> 'Vector3':
     """
         平面的法向量。
         Returns:
             法向量
         """
-    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
说明: 工厂函数 由点和法向量构造平面(点法式构造)。
参数:
  • point: 平面上的一点
  • normal: 法向量
返回: 平面
源代码
python
@classmethod
+    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
说明: 工厂函数 由点和法向量构造平面(点法式构造)。
参数:
  • point: 平面上的一点
  • normal: 法向量
返回: 平面
源代码
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)。
@@ -151,7 +151,7 @@
         """
     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)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
说明: 工厂函数 由三点构造平面。
参数:
  • p1: 点1
  • p2: 点2
  • p3: 点3
返回: 平面
源代码
python
@classmethod
+    return cls(a, b, c, d)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
说明: 工厂函数 由三点构造平面。
参数:
  • p1: 点1
  • p2: 点2
  • p3: 点3
返回: 平面
源代码
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。
@@ -165,7 +165,7 @@
     v1 = p2 - p1
     v2 = p3 - p1
     normal = v1.cross(v2)
-    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
说明: 工厂函数 由两直线构造平面。
参数:
  • l1: 直线1
  • l2: 直线2
返回: 平面
源代码
python
@classmethod
+    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
说明: 工厂函数 由两直线构造平面。
参数:
  • l1: 直线1
  • l2: 直线2
返回: 平面
源代码
python
@classmethod
 def from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3':
     """
         工厂函数 由两直线构造平面。
@@ -179,7 +179,7 @@
     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))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
说明: 工厂函数 由点和直线构造平面。
参数:
  • point: 面上一点
  • line: 面上直线，不包含点
返回: 平面
源代码
python
@classmethod
+    return cls.from_point_and_normal(l1.point, v1.cross(v2))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
说明: 工厂函数 由点和直线构造平面。
参数:
  • point: 面上一点
  • line: 面上直线，不包含点
返回: 平面
源代码
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。
@@ -189,11 +189,11 @@
         Returns:
             平面
         """
-    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
源代码
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
源代码
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
源代码
python
@overload
+    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
源代码
python
@overload
 def __and__(self, other: 'Plane3') -> 'Line3 | None':
-    ...
method __and__(self, other) ​
说明: 取两平面的交集（人话：交线）
参数:
  • other:
返回: 不平行平面的交线，平面平行返回None
源代码
python
def __and__(self, other):
+    ...
method __and__(self, other) ​
说明: 取两平面的交集（人话：交线）
参数:
  • other:
返回: 不平行平面的交线，平面平行返回None
源代码
python
def __and__(self, other):
     """
         取两平面的交集（人话：交线）
         Args:
@@ -210,10 +210,10 @@
             return None
         return self.cal_intersection_point3(other)
     else:
-        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
源代码
python
def __eq__(self, other) -> bool:
-    return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
源代码
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)

-    
+        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

源代码
python
def __eq__(self, other) -> bool:
+    return self.approx(other)

method __rand__(self, other: Line3) -> Point3 ​

源代码
python
def __rand__(self, other: 'Line3') -> 'Point3':
+    return self.cal_intersection_point3(other)

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+ \ No newline at end of file diff --git a/api/mp_math/point.html b/api/mp_math/point.html index 5fc06b0..d7a1f44 100644 --- a/api/mp_math/point.html +++ b/api/mp_math/point.html @@ -6,18 +6,18 @@ mbcp.mp_math.point | MBCP docs - + - + - - - + + + -
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class Point3 ​

method __init__(self, x: float, y: float, z: float) ​

说明: 笛卡尔坐标系中的点。

参数:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源代码
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.point ​
说明: 本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 笛卡尔坐标系中的点。
参数:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源代码
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -27,7 +27,7 @@
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
说明: 判断两个点是否近似相等。
参数:
  • other:
  • epsilon:
返回: 是否近似相等
源代码
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
说明: 判断两个点是否近似相等。
参数:
  • other:
  • epsilon:
返回: 是否近似相等
源代码
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
     """
         判断两个点是否近似相等。
         Args:
@@ -37,11 +37,11 @@
         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])
@overload ​
method self + other: Vector3 => Point3 ​
源代码
python
@overload
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
@overload ​
method self + other: Vector3 => Point3 ​
源代码
python
@overload
 def __add__(self, other: 'Vector3') -> 'Point3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
源代码
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
源代码
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
说明: P + V -> P P + P -> P
参数:
  • other:
源代码
python
def __add__(self, other):
+    ...
method self + other ​
说明: P + V -> P P + P -> P
参数:
  • other:
源代码
python
def __add__(self, other):
     """
         P + V -> P
         P + P -> P
@@ -49,14 +49,14 @@
             other:
         Returns:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
说明: 判断两个点是否相等。
参数:
  • other:
源代码
python
def __eq__(self, other):
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
说明: 判断两个点是否相等。
参数:
  • other:
源代码
python
def __eq__(self, other):
     """
         判断两个点是否相等。
         Args:
             other:
         Returns:
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
说明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
参数:
  • other:
源代码
python
def __sub__(self, other: 'Point3') -> 'Vector3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
说明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
参数:
  • other:
源代码
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     """
         P - P -> V
 
@@ -67,8 +67,8 @@
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

-    
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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+ \ No newline at end of file diff --git a/api/mp_math/segment.html b/api/mp_math/segment.html index f430296..ab68a0d 100644 --- a/api/mp_math/segment.html +++ b/api/mp_math/segment.html @@ -6,18 +6,18 @@ mbcp.mp_math.segment | MBCP docs - + - + - - - + + + -
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class Segment3 ​

method __init__(self, p1: Point3, p2: Point3) ​

说明: 三维空间中的线段。 :param p1: :param p2:

源代码
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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mbcp.mp_math.segment ​
说明: 本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
说明: 三维空间中的线段。 :param p1: :param p2:
源代码
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -30,8 +30,8 @@
     '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)

-    
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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+ \ No newline at end of file diff --git a/api/mp_math/utils.html b/api/mp_math/utils.html index 152abf6..b5c4546 100644 --- a/api/mp_math/utils.html +++ b/api/mp_math/utils.html @@ -6,18 +6,18 @@ mbcp.mp_math.utils | MBCP docs - + - + - - - + + + -
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func clamp() -> float ​

说明: 区间限定函数

参数:

  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值

返回: 限制后的值

源代码
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
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mbcp.mp_math.utils ​
说明: 本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
说明: 区间限定函数
参数:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
返回: 限制后的值
源代码
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -28,7 +28,20 @@
     Returns:
         限制后的值
     """
-    return max(min(x, max_), min_)
func approx(x: float = 0.0, y: float = APPROX) -> bool ​
说明: 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。
参数:
  • x: 数1
  • y: 数2
  • epsilon: 误差
返回: 是否近似相等
源代码
python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
+    return max(min(x, max_), min_)
class Approx ​
method __init__(self, value: RealNumber) ​
源代码
python
def __init__(self, value: RealNumber):
+    self.value = value
method __eq__(self, other) ​
源代码
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) ​
源代码
python
def raise_type_error(self, other):
+    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
源代码
python
def __ne__(self, other):
+    return not self.__eq__(other)
func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool ​
说明: 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。
参数:
  • x: 数1
  • y: 数2
  • epsilon: 误差
返回: 是否近似相等
源代码
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:
@@ -38,7 +51,7 @@
     Returns:
         是否近似相等
     """
-    return abs(x - y) < epsilon
func sign(x: float = False) -> str ​
说明: 获取数的符号。
参数:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源代码
python
def sign(x: float, only_neg: bool=False) -> str:
+    return abs(x - y) < epsilon
func sign(x: float, only_neg: bool = False) -> str ​
说明: 获取数的符号。
参数:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源代码
python
def sign(x: float, only_neg: bool=False) -> str:
     """获取数的符号。
     Args:
         x: 数
@@ -51,7 +64,7 @@
     elif x < 0:
         return '-'
     else:
-        return ''
func sign_format(x: float = False) -> str ​
说明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
参数:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源代码
python
def sign_format(x: float, only_neg: bool=False) -> str:
+        return ''
func sign_format(x: float, only_neg: bool = False) -> str ​
说明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
参数:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源代码
python
def sign_format(x: float, only_neg: bool=False) -> str:
     """格式化符号数
     -1 -> -1
     1 -> +1
@@ -67,21 +80,8 @@
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
class Approx ​
method __init__(self, value: RealNumber) ​
源代码
python
def __init__(self, value: RealNumber):
-    self.value = value
method __eq__(self, other) ​
源代码
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) ​
源代码
python
def raise_type_error(self, other):
-    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
源代码
python
def __ne__(self, other):
-    return not self.__eq__(other)

-    
+        return ''

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+ \ No newline at end of file diff --git a/api/mp_math/vector.html b/api/mp_math/vector.html index 260a981..0425d94 100644 --- a/api/mp_math/vector.html +++ b/api/mp_math/vector.html @@ -6,18 +6,18 @@ mbcp.mp_math.vector | MBCP docs - + - + - - - + + + -
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class Vector3 ​

method __init__(self, x: float, y: float, z: float) ​

说明: 3维向量

参数:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源代码
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.vector ​
说明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 3维向量
参数:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源代码
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -27,7 +27,7 @@
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
说明: 判断两个向量是否近似相等。
参数:
  • other:
  • epsilon:
返回: 是否近似相等
源代码
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
说明: 判断两个向量是否近似相等。
参数:
  • other:
  • epsilon:
返回: 是否近似相等
源代码
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
     """
         判断两个向量是否近似相等。
         Args:
@@ -37,7 +37,7 @@
         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])
method cal_angle(self, other: Vector3) -> AnyAngle ​
说明: 计算两个向量之间的夹角。
参数:
  • other: 另一个向量
返回: 夹角
源代码
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
method cal_angle(self, other: Vector3) -> AnyAngle ​
说明: 计算两个向量之间的夹角。
参数:
  • other: 另一个向量
返回: 夹角
源代码
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
     """
         计算两个向量之间的夹角。
         Args:
@@ -45,7 +45,7 @@
         Returns:
             夹角
         """
-    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
说明: 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。
参数:
  • other:
返回: 行列式的结果
源代码
python
def cross(self, other: 'Vector3') -> 'Vector3':
+    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
说明: 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。
参数:
  • other:
返回: 行列式的结果
源代码
python
def cross(self, other: 'Vector3') -> 'Vector3':
     """
         向量积 叉乘：v1 cross v2 -> v3
 
@@ -65,7 +65,7 @@
         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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
说明: 判断两个向量是否近似平行。
参数:
  • other: 另一个向量
  • epsilon: 允许的误差
返回: 是否近似平行
源代码
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
说明: 判断两个向量是否近似平行。
参数:
  • other: 另一个向量
  • epsilon: 允许的误差
返回: 是否近似平行
源代码
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:
@@ -74,7 +74,7 @@
         Returns:
             是否近似平行
         """
-    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
说明: 判断两个向量是否平行。
参数:
  • other: 另一个向量
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Vector3') -> bool:
+    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
说明: 判断两个向量是否平行。
参数:
  • other: 另一个向量
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Vector3') -> bool:
     """
         判断两个向量是否平行。
         Args:
@@ -82,7 +82,7 @@
         Returns:
             是否平行
         """
-    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
说明: 将向量归一化。
自体归一化，不返回值。
源代码
python
def normalize(self):
+    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
说明: 将向量归一化。
自体归一化，不返回值。
源代码
python
def normalize(self):
     """
         将向量归一化。
 
@@ -91,32 +91,32 @@
     length = self.length
     self.x /= length
     self.y /= length
-    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
源代码
python
@property
+    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
源代码
python
@property
 def np_array(self) -> 'np.ndarray':
     """
         返回numpy数组
         Returns:
         """
-    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
说明: 向量的模。
返回: 模
源代码
python
@property
+    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
说明: 向量的模。
返回: 模
源代码
python
@property
 def length(self) -> float:
     """
         向量的模。
         Returns:
             模
         """
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
说明: 获取该向量的单位向量。
返回: 单位向量
源代码
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
说明: 获取该向量的单位向量。
返回: 单位向量
源代码
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
method __abs__(self) ​
源代码
python
def __abs__(self):
-    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
源代码
python
@overload
+    return self / self.length
method __abs__(self) ​
源代码
python
def __abs__(self):
+    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
源代码
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
源代码
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
源代码
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
说明: V + P -> P
V + V -> V
参数:
  • other:
源代码
python
def __add__(self, other):
+    ...
method self + other ​
说明: V + P -> P
V + V -> V
参数:
  • other:
源代码
python
def __add__(self, other):
     """
         V + P -> P
 
@@ -131,7 +131,7 @@
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
说明: 判断两个向量是否相等。
参数:
  • other:
返回: 是否相等
源代码
python
def __eq__(self, other):
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
说明: 判断两个向量是否相等。
参数:
  • other:
返回: 是否相等
源代码
python
def __eq__(self, other):
     """
         判断两个向量是否相等。
         Args:
@@ -139,7 +139,7 @@
         Returns:
             是否相等
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
说明: P + V -> P
别去点那边实现了。 :param other: :return:
源代码
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
说明: P + V -> P
别去点那边实现了。 :param other: :return:
源代码
python
def __radd__(self, other: 'Point3') -> 'Point3':
     """
         P + V -> P
 
@@ -147,11 +147,11 @@
         :param other:
         :return:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
源代码
python
@overload
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
源代码
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self - other: Point3 => Point3 ​
源代码
python
@overload
+    ...
@overload ​
method self - other: Point3 => Point3 ​
源代码
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...
method self - other ​
说明: V - P -> P
V - V -> V
参数:
  • other:
源代码
python
def __sub__(self, other):
+    ...
method self - other ​
说明: V - P -> P
V - V -> V
参数:
  • other:
源代码
python
def __sub__(self, other):
     """
         V - P -> P
 
@@ -165,7 +165,7 @@
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
说明: P - V -> P
参数:
  • other:
源代码
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
说明: P - V -> P
参数:
  • other:
源代码
python
def __rsub__(self, other: 'Point3'):
     """
         P - V -> P
         Args:
@@ -176,11 +176,11 @@
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
源代码
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
源代码
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self * other: RealNumber => Vector3 ​
源代码
python
@overload
+    ...
@overload ​
method self * other: RealNumber => Vector3 ​
源代码
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...
method self * other: int | float | Vector3 => Vector3 ​
说明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
参数:
  • other:
源代码
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...
method self * other: int | float | Vector3 => Vector3 ​
说明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
参数:
  • other:
源代码
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     """
         数组运算 非点乘。点乘使用@，叉乘使用cross。
         Args:
@@ -193,18 +193,18 @@
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
源代码
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
说明: 点乘。
参数:
  • other:
源代码
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
源代码
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
说明: 点乘。
参数:
  • other:
源代码
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
     """
         点乘。
         Args:
             other:
         Returns:
         """
-    return self.x * other.x + self.y * other.y + self.z * other.z
method self / other: RealNumber => Vector3 ​
源代码
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
-    return Vector3(self.x / other, self.y / other, self.z / other)
method - self ​
源代码
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • 类型: Vector3
  • 说明: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • 类型: Vector3
  • 说明: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • 类型: Vector3
  • 说明: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • 类型: Vector3
  • 说明: z轴单位向量

-    
+    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

源代码
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
+    return Vector3(self.x / other, self.y / other, self.z / other)

method - self ​

源代码
python
def __neg__(self):
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • 类型: Vector3

  • 说明: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • 类型: Vector3

  • 说明: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • 类型: Vector3

  • 说明: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • 类型: Vector3

  • 说明: z轴单位向量

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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/api/particle/index.html b/api/particle/index.html index a22209d..d358644 100644 --- a/api/particle/index.html +++ b/api/particle/index.html @@ -6,19 +6,19 @@ mbcp.particle | MBCP docs - + - + - - - + + + -
MBCP docs

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繁體中文

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繁體中文

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- +
MBCP docs

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繁體中文

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繁體中文

Appearance

mbcp.particle ​

说明: 本模块定义了粒子生成相关的工具

文档由 VitePress 构建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/api/presets/index.html b/api/presets/index.html index 9e4ec7f..88e1785 100644 --- a/api/presets/index.html +++ b/api/presets/index.html @@ -6,19 +6,19 @@ mbcp.presets | MBCP docs - + - + - - - + + + -
MBCP docs

简体中文

English
日本語
繁體中文

简体中文

English
日本語
繁體中文

Appearance

- +
MBCP docs

简体中文

English
日本語
繁體中文

简体中文

English
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繁體中文

Appearance

mbcp.presets ​

说明: Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved

@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : snowykami@outlook.com @File : init.py @Software: PyCharm

文档由 VitePress 构建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/api/presets/model/index.html b/api/presets/model/index.html index 4c9023b..6d09c17 100644 --- a/api/presets/model/index.html +++ b/api/presets/model/index.html @@ -6,18 +6,18 @@ mbcp.presets.model | MBCP docs - + - + - - - + + + -
MBCP docs

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English
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class GeometricModels ​

@staticmethod ​

method sphere(radius: float, density: float) ​

说明: 生成球体上的点集。

参数:

  • radius:
  • density:

返回: List[Point3]: 球体上的点集。

源代码
python
@staticmethod
+    
MBCP docs
简体中文
English
日本語
繁體中文
简体中文
English
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繁體中文
Appearance
mbcp.presets.model ​
说明: 几何模型点集
class GeometricModels ​
@staticmethod ​
method sphere(radius: float, density: float) ​
说明: 生成球体上的点集。
参数:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源代码
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +34,8 @@
     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)]

-    
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

文档由 VitePress 构建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/assets/api-ex.md.DOsKaL8H.js b/assets/api-ex.md.DOsKaL8H.js deleted file mode 100644 index 8273956..0000000 --- a/assets/api-ex.md.DOsKaL8H.js +++ /dev/null @@ -1,16 +0,0 @@ -import{u as h,c as p,j as s,t as i,k as e,a2 as r,a,o as k}from"./chunks/framework.BV61Qrc0.js";const d=r(`

Runtime API Examples ​

This page demonstrates usage of some of the runtime APIs provided by VitePress.

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:

md
<script setup>
-import { useData } from 'vitepress'
-
-const { theme, page, frontmatter } = useData()
-</script>
-
-## Results
-
-### Theme Data
-<pre>{{ theme }}</pre>
-
-### Page Data
-<pre>{{ page }}</pre>
-
-### Page Frontmatter
-<pre>{{ frontmatter }}</pre>

Results ​

Theme Data ​

`,6),o=s("h3",{id:"page-data",tabindex:"-1"},[a("Page Data "),s("a",{class:"header-anchor",href:"#page-data","aria-label":'Permalink to "Page Data"'},"​")],-1),E=s("h3",{id:"page-frontmatter",tabindex:"-1"},[a("Page Frontmatter "),s("a",{class:"header-anchor",href:"#page-frontmatter","aria-label":'Permalink to "Page Frontmatter"'},"​")],-1),g=s("h2",{id:"more",tabindex:"-1"},[a("More "),s("a",{class:"header-anchor",href:"#more","aria-label":'Permalink to "More"'},"​")],-1),c=s("p",null,[a("Check out the documentation for the "),s("a",{href:"https://vitepress.dev/reference/runtime-api#usedata",target:"_blank",rel:"noreferrer"},"full list of runtime APIs"),a(".")],-1),D=JSON.parse('{"title":"Runtime API Examples","description":"","frontmatter":{"outline":"deep"},"headers":[],"relativePath":"api-ex.md","filePath":"api-ex.md"}'),m={name:"api-ex.md"},F=Object.assign(m,{setup(u){const{site:y,theme:t,page:n,frontmatter:l}=h();return(_,f)=>(k(),p("div",null,[d,s("pre",null,i(e(t)),1),o,s("pre",null,i(e(n)),1),E,s("pre",null,i(e(l)),1),g,c]))}});export{D as __pageData,F as default}; diff --git a/assets/api-ex.md.DOsKaL8H.lean.js b/assets/api-ex.md.DOsKaL8H.lean.js deleted file mode 100644 index 686b36e..0000000 --- a/assets/api-ex.md.DOsKaL8H.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{u as h,c as p,j as s,t as i,k as e,a2 as r,a,o as k}from"./chunks/framework.BV61Qrc0.js";const d=r("",6),o=s("h3",{id:"page-data",tabindex:"-1"},[a("Page Data "),s("a",{class:"header-anchor",href:"#page-data","aria-label":'Permalink to "Page Data"'},"​")],-1),E=s("h3",{id:"page-frontmatter",tabindex:"-1"},[a("Page Frontmatter "),s("a",{class:"header-anchor",href:"#page-frontmatter","aria-label":'Permalink to "Page Frontmatter"'},"​")],-1),g=s("h2",{id:"more",tabindex:"-1"},[a("More "),s("a",{class:"header-anchor",href:"#more","aria-label":'Permalink to "More"'},"​")],-1),c=s("p",null,[a("Check out the documentation for the "),s("a",{href:"https://vitepress.dev/reference/runtime-api#usedata",target:"_blank",rel:"noreferrer"},"full list of runtime APIs"),a(".")],-1),D=JSON.parse('{"title":"Runtime API Examples","description":"","frontmatter":{"outline":"deep"},"headers":[],"relativePath":"api-ex.md","filePath":"api-ex.md"}'),m={name:"api-ex.md"},F=Object.assign(m,{setup(u){const{site:y,theme:t,page:n,frontmatter:l}=h();return(_,f)=>(k(),p("div",null,[d,s("pre",null,i(e(t)),1),o,s("pre",null,i(e(n)),1),E,s("pre",null,i(e(l)),1),g,c]))}});export{D as __pageData,F as default}; diff --git a/assets/api_index.md.BvazTqTB.js b/assets/api_index.md.BvazTqTB.js deleted file mode 100644 index 8dcd57c..0000000 --- a/assets/api_index.md.BvazTqTB.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"api/index.md","filePath":"api/index.md"}'),n={name:"api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default}; diff --git a/assets/api_index.md.BvazTqTB.lean.js b/assets/api_index.md.BvazTqTB.lean.js deleted file mode 100644 index 8dcd57c..0000000 --- a/assets/api_index.md.BvazTqTB.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"api/index.md","filePath":"api/index.md"}'),n={name:"api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default}; diff --git a/assets/api_index.md.CBQkxs7b.js b/assets/api_index.md.CBQkxs7b.js new file mode 100644 index 0000000..cd33b4d --- /dev/null +++ b/assets/api_index.md.CBQkxs7b.js @@ -0,0 +1 @@ +import{_ as a,c,o as n,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","collapsed":true},"headers":[],"relativePath":"api/index.md","filePath":"zh/api/index.md"}'),o={name:"api/index.md"},s=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"说明"),t(": 本模块塞了一些预设的粒子生成器")],-1),i=[s,r];function d(p,l,_,m,h,f){return n(),c("div",null,i)}const u=a(o,[["render",d]]);export{b as __pageData,u as default}; diff --git a/assets/api_index.md.CBQkxs7b.lean.js b/assets/api_index.md.CBQkxs7b.lean.js new file mode 100644 index 0000000..cd33b4d --- /dev/null +++ b/assets/api_index.md.CBQkxs7b.lean.js @@ -0,0 +1 @@ +import{_ as a,c,o as n,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","collapsed":true},"headers":[],"relativePath":"api/index.md","filePath":"zh/api/index.md"}'),o={name:"api/index.md"},s=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"说明"),t(": 本模块塞了一些预设的粒子生成器")],-1),i=[s,r];function d(p,l,_,m,h,f){return n(),c("div",null,i)}const u=a(o,[["render",d]]);export{b as __pageData,u as default}; diff --git a/assets/api_mp_math_angle.md.eAy7w1HN.lean.js b/assets/api_mp_math_angle.md.eAy7w1HN.lean.js deleted file mode 100644 index ca34d60..0000000 --- a/assets/api_mp_math_angle.md.eAy7w1HN.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n("",78),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default}; diff --git a/assets/api_mp_math_angle.md.eAy7w1HN.js b/assets/api_mp_math_angle.md.gd7UQvyy.js similarity index 86% rename from assets/api_mp_math_angle.md.eAy7w1HN.js rename to assets/api_mp_math_angle.md.gd7UQvyy.js index 42da5d6..e9e9278 100644 --- a/assets/api_mp_math_angle.md.eAy7w1HN.js +++ b/assets/api_mp_math_angle.md.gd7UQvyy.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n(`

class Angle ​

class AnyAngle(Angle) ​

method __init__(self, value: float, is_radian: bool = False) ​

说明: 任意角度。

参数:

源代码
python
def __init__(self, value: float, is_radian: bool=False):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"zh/api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n(`
mbcp.mp_math.angle ​
说明: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
说明: 任意角度。
参数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源代码
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -8,92 +8,92 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     if is_radian:
         self.radian = value
     else:
-        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
说明: 余角：两角的和为90°。
返回: 余角
源代码
python
@property
+        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
说明: 余角：两角的和为90°。
返回: 余角
源代码
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)
@property ​
method supplementary(self) -> AnyAngle ​
说明: 补角：两角的和为180°。
返回: 补角
源代码
python
@property
+    return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
@property ​
method supplementary(self) -> AnyAngle ​
说明: 补角：两角的和为180°。
返回: 补角
源代码
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)
@property ​
method degree(self) -> float ​
说明: 角度。
返回: 弧度
源代码
python
@property
+    return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
@property ​
method degree(self) -> float ​
说明: 角度。
返回: 弧度
源代码
python
@property
 def degree(self) -> float:
     """
         角度。
         Returns:
             弧度
         """
-    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
说明: 最小正角。
返回: 最小正角度
源代码
python
@property
+    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
说明: 最小正角。
返回: 最小正角度
源代码
python
@property
 def minimum_positive(self) -> 'AnyAngle':
     """
         最小正角。
         Returns:
             最小正角度
         """
-    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
说明: 最大负角。
返回: 最大负角度
源代码
python
@property
+    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
说明: 最大负角。
返回: 最大负角度
源代码
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)
@property ​
method sin(self) -> float ​
说明: 正弦值。
返回: 正弦值
源代码
python
@property
+    return AnyAngle(-self.radian % (2 * PI), is_radian=True)
@property ​
method sin(self) -> float ​
说明: 正弦值。
返回: 正弦值
源代码
python
@property
 def sin(self) -> float:
     """
         正弦值。
         Returns:
             正弦值
         """
-    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
说明: 余弦值。
返回: 余弦值
源代码
python
@property
+    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
说明: 余弦值。
返回: 余弦值
源代码
python
@property
 def cos(self) -> float:
     """
         余弦值。
         Returns:
             余弦值
         """
-    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
说明: 正切值。
返回: 正切值
源代码
python
@property
+    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
说明: 正切值。
返回: 正切值
源代码
python
@property
 def tan(self) -> float:
     """
         正切值。
         Returns:
             正切值
         """
-    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
说明: 余切值。
返回: 余切值
源代码
python
@property
+    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
说明: 余切值。
返回: 余切值
源代码
python
@property
 def cot(self) -> float:
     """
         余切值。
         Returns:
             余切值
         """
-    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
说明: 正割值。
返回: 正割值
源代码
python
@property
+    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
说明: 正割值。
返回: 正割值
源代码
python
@property
 def sec(self) -> float:
     """
         正割值。
         Returns:
             正割值
         """
-    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
说明: 余割值。
返回: 余割值
源代码
python
@property
+    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
说明: 余割值。
返回: 余割值
源代码
python
@property
 def csc(self) -> float:
     """
         余割值。
         Returns:
             余割值
         """
-    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
源代码
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
源代码
python
def __eq__(self, other):
-    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
源代码
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
源代码
python
def __mul__(self, other: float) -> 'AnyAngle':
-    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
源代码
python
@overload
+    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
源代码
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
源代码
python
def __eq__(self, other):
+    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
源代码
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
源代码
python
def __mul__(self, other: float) -> 'AnyAngle':
+    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
源代码
python
@overload
 def __truediv__(self, other: float) -> 'AnyAngle':
-    ...
@overload ​
method self / other: AnyAngle => float ​
源代码
python
@overload
+    ...
@overload ​
method self / other: AnyAngle => float ​
源代码
python
@overload
 def __truediv__(self, other: 'AnyAngle') -> float:
-    ...
method self / other ​
源代码
python
def __truediv__(self, other):
+    ...
method self / other ​
源代码
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)
`,78),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default};
+    return AnyAngle(self.radian / other, is_radian=True)
`,80),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default}; diff --git a/assets/api_mp_math_angle.md.gd7UQvyy.lean.js b/assets/api_mp_math_angle.md.gd7UQvyy.lean.js new file mode 100644 index 0000000..afce494 --- /dev/null +++ b/assets/api_mp_math_angle.md.gd7UQvyy.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"zh/api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n("",80),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default}; diff --git a/assets/api_mp_math_const.md.3scs0T6A.js b/assets/api_mp_math_const.md.3scs0T6A.js new file mode 100644 index 0000000..120ef87 --- /dev/null +++ b/assets/api_mp_math_const.md.3scs0T6A.js @@ -0,0 +1 @@ +import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},c=o('

mbcp.mp_math.const ​

说明: 本模块定义了一些常用的常量

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 ​

',14),i=[c];function n(l,s,h,d,m,p){return e(),t("div",null,i)}const v=a(r,[["render",n]]);export{u as __pageData,v as default}; diff --git a/assets/api_mp_math_const.md.3scs0T6A.lean.js b/assets/api_mp_math_const.md.3scs0T6A.lean.js new file mode 100644 index 0000000..ca8aca1 --- /dev/null +++ b/assets/api_mp_math_const.md.3scs0T6A.lean.js @@ -0,0 +1 @@ +import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},c=o("",14),i=[c];function n(l,s,h,d,m,p){return e(),t("div",null,i)}const v=a(r,[["render",n]]);export{u as __pageData,v as default}; diff --git a/assets/api_mp_math_const.md.D9zs7__H.js b/assets/api_mp_math_const.md.D9zs7__H.js deleted file mode 100644 index 468f064..0000000 --- a/assets/api_mp_math_const.md.D9zs7__H.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},s=o('

var EPSILON = 0.0001 ​

var APPROX = 0.001 ​

',4),n=[s];function c(_,i,l,m,p,d){return e(),t("div",null,n)}const P=a(r,[["render",c]]);export{u as __pageData,P as default}; diff --git a/assets/api_mp_math_const.md.D9zs7__H.lean.js b/assets/api_mp_math_const.md.D9zs7__H.lean.js deleted file mode 100644 index 25ef09e..0000000 --- a/assets/api_mp_math_const.md.D9zs7__H.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},s=o("",4),n=[s];function c(_,i,l,m,p,d){return e(),t("div",null,n)}const P=a(r,[["render",c]]);export{u as __pageData,P as default}; diff --git a/assets/api_mp_math_equation.md.Bx8s1yFf.lean.js b/assets/api_mp_math_equation.md.Bx8s1yFf.lean.js deleted file mode 100644 index 3647865..0000000 --- a/assets/api_mp_math_equation.md.Bx8s1yFf.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"api/mp_math/equation.md"}'),l={name:"api/mp_math/equation.md"},t=n("",27),h=[t];function p(k,e,r,E,d,g){return a(),i("div",null,h)}const u=s(l,[["render",p]]);export{F as __pageData,u as default}; diff --git a/assets/en_api_mp_math_equation.md.BuG3Sd0K.js b/assets/api_mp_math_equation.md.DuZ1hN4l.js similarity index 70% rename from assets/en_api_mp_math_equation.md.BuG3Sd0K.js rename to assets/api_mp_math_equation.md.DuZ1hN4l.js index 8765aed..e456e43 100644 --- a/assets/en_api_mp_math_equation.md.BuG3Sd0K.js +++ b/assets/api_mp_math_equation.md.DuZ1hN4l.js @@ -1,4 +1,26 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),l={name:"en/api/mp_math/equation.md"},t=n(`

func get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc ​

Description: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。

WARNING

目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升

Arguments:

Return: 偏导函数

Raises:

Source code
python
def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number=EPSILON) -> MultiVarsFunc:
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),l={name:"api/mp_math/equation.md"},t=n(`
mbcp.mp_math.equation ​
说明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源代码
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    """
+        曲线方程。
+        Args:
+            x_func: x函数
+            y_func: y函数
+            z_func: z函数
+        """
+    self.x_func = x_func
+    self.y_func = y_func
+    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
说明: 计算曲线上的点。
参数:
  • *t:
  • 参数:
返回: 目标点
源代码
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
+    """
+        计算曲线上的点。
+        Args:
+            *t:
+                参数
+        Returns:
+            目标点
+        """
+    if len(t) == 1:
+        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
+    else:
+        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc ​
说明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。
WARNING
目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升
参数:
  • 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
返回: 偏导函数
引发:
  • ValueError 无效变量类型
源代码
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。
     > [!warning]
@@ -40,7 +62,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const u
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
func curry(*args: Var) -> OneVarFunc ​
Description: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
Arguments:
  • func: 函数
  • *args: 参数
Return: 柯里化后的函数
Source code
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
+        raise ValueError('Invalid var type')
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
说明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
参数:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源代码
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
     """
     对多参数函数进行柯里化。
     > [!tip]
@@ -55,26 +77,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const u
     def curried_func(*args2: Var) -> Var:
         """@litedoc-hide"""
         return func(*args, *args2)
-    return curried_func
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
Source code
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
-    """
-        曲线方程。
-        Args:
-            x_func: x函数
-            y_func: y函数
-            z_func: z函数
-        """
-    self.x_func = x_func
-    self.y_func = y_func
-    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
Description: 计算曲线上的点。
Arguments:
  • *t:
  • 参数:
Source code
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
-    """
-        计算曲线上的点。
-        Args:
-            *t:
-                参数
-        Returns:
-
-        """
-    if len(t) == 1:
-        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
-    else:
-        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
`,27),h=[t];function p(k,e,r,E,d,g){return a(),i("div",null,h)}const F=s(l,[["render",p]]);export{u as __pageData,F as default};
+    return curried_func
`,30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/api_mp_math_equation.md.DuZ1hN4l.lean.js b/assets/api_mp_math_equation.md.DuZ1hN4l.lean.js new file mode 100644 index 0000000..fbc4f35 --- /dev/null +++ b/assets/api_mp_math_equation.md.DuZ1hN4l.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),l={name:"api/mp_math/equation.md"},t=n("",30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/api_mp_math_function.md.U6hGSIm3.js b/assets/api_mp_math_function.md.U6hGSIm3.js new file mode 100644 index 0000000..d3f1fa2 --- /dev/null +++ b/assets/api_mp_math_function.md.U6hGSIm3.js @@ -0,0 +1,17 @@ +import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function"},"headers":[],"relativePath":"api/mp_math/function.md","filePath":"zh/api/mp_math/function.md"}'),n={name:"api/mp_math/function.md"},l=a('

mbcp.mp_math.function ​

说明: AAA

func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​

说明: 计算三元函数在某点的梯度向量。

',4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a('',1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a('',1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a(`

参数:

返回: 梯度

源代码
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    """
+    计算三元函数在某点的梯度向量。
+    > [!tip]
+    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
+    $\\\\nabla f(x_0, y_0, z_0) = \\\\left(\\\\frac{\\\\partial f}{\\\\partial x}, \\\\frac{\\\\partial f}{\\\\partial y}, \\\\frac{\\\\partial f}{\\\\partial z}\\\\right)$
+    Args:
+        func: 三元函数
+        p: 点
+        epsilon: 偏移量
+    Returns:
+        梯度
+    """
+    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
+    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
+    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
+    return Vector3(dx, dy, dz)
`,4);function C(L,H,M,Z,b,D){return Q(),s("div",null,[l,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(n,[["render",C]]);export{v as __pageData,V as default}; diff --git a/assets/api_mp_math_function.md.U6hGSIm3.lean.js b/assets/api_mp_math_function.md.U6hGSIm3.lean.js new file mode 100644 index 0000000..00d681d --- /dev/null +++ b/assets/api_mp_math_function.md.U6hGSIm3.lean.js @@ -0,0 +1 @@ +import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function"},"headers":[],"relativePath":"api/mp_math/function.md","filePath":"zh/api/mp_math/function.md"}'),n={name:"api/mp_math/function.md"},l=a("",4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a("",1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a("",1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a("",1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a("",4);function C(L,H,M,Z,b,D){return Q(),s("div",null,[l,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(n,[["render",C]]);export{v as __pageData,V as default}; diff --git a/assets/api_mp_math_index.md.1HMGGW3A.js b/assets/api_mp_math_index.md.1HMGGW3A.js new file mode 100644 index 0000000..aad2f57 --- /dev/null +++ b/assets/api_mp_math_index.md.1HMGGW3A.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","collapsed":true},"headers":[],"relativePath":"api/mp_math/index.md","filePath":"zh/api/mp_math/index.md"}'),c={name:"api/mp_math/index.md"},i=o('

mbcp.mp_math ​

说明: 本包定义了一些常用的导入，可直接从mbcp.mp_math导入使用 导入的类有：

',3),m=[i];function d(_,l,n,p,r,s){return a(),t("div",null,m)}const b=e(c,[["render",d]]);export{u as __pageData,b as default}; diff --git a/assets/api_mp_math_index.md.1HMGGW3A.lean.js b/assets/api_mp_math_index.md.1HMGGW3A.lean.js new file mode 100644 index 0000000..4af2406 --- /dev/null +++ b/assets/api_mp_math_index.md.1HMGGW3A.lean.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","collapsed":true},"headers":[],"relativePath":"api/mp_math/index.md","filePath":"zh/api/mp_math/index.md"}'),c={name:"api/mp_math/index.md"},i=o("",3),m=[i];function d(_,l,n,p,r,s){return a(),t("div",null,m)}const b=e(c,[["render",d]]);export{u as __pageData,b as default}; diff --git a/assets/api_mp_math_index.md.4P0hk6gb.js b/assets/api_mp_math_index.md.4P0hk6gb.js deleted file mode 100644 index b374540..0000000 --- a/assets/api_mp_math_index.md.4P0hk6gb.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as e,o as a}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"api/mp_math/index.md","filePath":"api/mp_math/index.md"}'),m={name:"api/mp_math/index.md"};function p(n,i,r,c,o,s){return a(),e("div")}const h=t(m,[["render",p]]);export{d as __pageData,h as default}; diff --git a/assets/api_mp_math_index.md.4P0hk6gb.lean.js b/assets/api_mp_math_index.md.4P0hk6gb.lean.js deleted file mode 100644 index b374540..0000000 --- a/assets/api_mp_math_index.md.4P0hk6gb.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as e,o as a}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"api/mp_math/index.md","filePath":"api/mp_math/index.md"}'),m={name:"api/mp_math/index.md"};function p(n,i,r,c,o,s){return a(),e("div")}const h=t(m,[["render",p]]);export{d as __pageData,h as default}; diff --git a/assets/api_mp_math_line.md.DsJQDchM.js b/assets/api_mp_math_line.md.B-ShajAF.js similarity index 92% rename from assets/api_mp_math_line.md.DsJQDchM.js rename to assets/api_mp_math_line.md.B-ShajAF.js index b12a2f8..1e6308f 100644 --- a/assets/api_mp_math_line.md.DsJQDchM.js +++ b/assets/api_mp_math_line.md.B-ShajAF.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n(`

class Line3 ​

method __init__(self, point: Point3, direction: Vector3) ​

说明: 三维空间中的直线。由一个点和一个方向向量确定。

参数:

源代码
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n(`
mbcp.mp_math.line ​
说明: 本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
说明: 三维空间中的直线。由一个点和一个方向向量确定。
参数:
  • point: 直线上的一点
  • direction: 直线的方向向量
源代码
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:
@@ -6,7 +6,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
             direction: 直线的方向向量
         """
     self.point = point
-    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
说明: 判断两条直线是否近似相等。
参数:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似相等
源代码
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
+    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
说明: 判断两条直线是否近似相等。
参数:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似相等
源代码
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
     """
         判断两条直线是否近似相等。
         Args:
@@ -15,7 +15,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         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)
method cal_angle(self, other: Line3) -> AnyAngle ​
说明: 计算直线和直线之间的夹角。
参数:
  • other: 另一条直线
返回: 夹角弧度
引发:
  • TypeError 不支持的类型
源代码
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
+    return self.is_approx_parallel(other, epsilon) and (self.point - other.point).is_approx_parallel(self.direction, epsilon)
method cal_angle(self, other: Line3) -> AnyAngle ​
说明: 计算直线和直线之间的夹角。
参数:
  • other: 另一条直线
返回: 夹角弧度
引发:
  • TypeError 不支持的类型
源代码
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
     """
         计算直线和直线之间的夹角。
         Args:
@@ -25,7 +25,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Raises:
             TypeError: 不支持的类型
         """
-    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
说明: 计算直线和直线或点之间的距离。
参数:
  • other: 平行直线或点
返回: 距离
引发:
  • TypeError 不支持的类型
源代码
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
+    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
说明: 计算直线和直线或点之间的距离。
参数:
  • other: 平行直线或点
返回: 距离
引发:
  • TypeError 不支持的类型
源代码
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
     """
         计算直线和直线或点之间的距离。
         Args:
@@ -48,7 +48,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif isinstance(other, Point3):
         return (other - self.point).cross(self.direction).length / self.direction.length
     else:
-        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
说明: 计算两条直线的交点。
参数:
  • other: 另一条直线
返回: 交点
引发:
  • ValueError 直线平行
  • ValueError 直线不共面
源代码
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
+        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
说明: 计算两条直线的交点。
参数:
  • other: 另一条直线
返回: 交点
引发:
  • ValueError 直线平行
  • ValueError 直线不共面
源代码
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
     """
         计算两条直线的交点。
         Args:
@@ -63,7 +63,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         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
method cal_perpendicular(self, point: Point3) -> Line3 ​
说明: 计算直线经过指定点p的垂线。
参数:
  • point: 指定点
返回: 垂线
源代码
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
+    return self.point + self.direction.cross(other.direction) @ other.direction.cross(self.point - other.point) / self.direction.cross(other.direction).length ** 2 * self.direction
method cal_perpendicular(self, point: Point3) -> Line3 ​
说明: 计算直线经过指定点p的垂线。
参数:
  • point: 指定点
返回: 垂线
源代码
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
     """
         计算直线经过指定点p的垂线。
         Args:
@@ -71,7 +71,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             垂线
         """
-    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
说明: 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。
参数:
  • t: 参数t
返回: 点
源代码
python
def get_point(self, t: RealNumber) -> 'Point3':
+    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
说明: 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。
参数:
  • t: 参数t
返回: 点
源代码
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:
@@ -79,13 +79,13 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             点
         """
-    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
说明: 获取直线的参数方程。
返回: x(t), y(t), z(t)
源代码
python
def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:
+    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
说明: 获取直线的参数方程。
返回: x(t), y(t), z(t)
源代码
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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
说明: 判断两条直线是否近似平行。
参数:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似平行
源代码
python
def is_approx_parallel(self, other: 'Line3', epsilon: float=1e-06) -> bool:
+    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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
说明: 判断两条直线是否近似平行。
参数:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似平行
源代码
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:
@@ -94,7 +94,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否近似平行
         """
-    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
说明: 判断两条直线是否平行。
参数:
  • other: 另一条直线
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Line3') -> bool:
+    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
说明: 判断两条直线是否平行。
参数:
  • other: 另一条直线
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Line3') -> bool:
     """
         判断两条直线是否平行。
         Args:
@@ -102,7 +102,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否平行
         """
-    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
说明: 判断两条直线是否共线。
参数:
  • other: 另一条直线
返回: 是否共线
源代码
python
def is_collinear(self, other: 'Line3') -> bool:
+    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
说明: 判断两条直线是否共线。
参数:
  • other: 另一条直线
返回: 是否共线
源代码
python
def is_collinear(self, other: 'Line3') -> bool:
     """
         判断两条直线是否共线。
         Args:
@@ -110,7 +110,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否共线
         """
-    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
说明: 判断点是否在直线上。
参数:
  • point: 点
返回: 是否在直线上
源代码
python
def is_point_on(self, point: 'Point3') -> bool:
+    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
说明: 判断点是否在直线上。
参数:
  • point: 点
返回: 是否在直线上
源代码
python
def is_point_on(self, point: 'Point3') -> bool:
     """
         判断点是否在直线上。
         Args:
@@ -118,7 +118,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否在直线上
         """
-    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
说明: 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。
参数:
  • other: 另一条直线
返回: 是否共面
源代码
python
def is_coplanar(self, other: 'Line3') -> bool:
+    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
说明: 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。
参数:
  • other: 另一条直线
返回: 是否共面
源代码
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。
@@ -127,7 +127,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否共面
         """
-    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
说明: 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
源代码
python
def simplify(self):
+    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
说明: 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
源代码
python
def simplify(self):
     """
         简化直线方程，等价相等。
         自体简化，不返回值。
@@ -140,7 +140,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     if self.direction.y == 0:
         self.point.y = 0
     if self.direction.z == 0:
-        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
说明: 工厂函数 由两点构造直线。
参数:
  • p1: 点1
  • p2: 点2
返回: 直线
源代码
python
@classmethod
+        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
说明: 工厂函数 由两点构造直线。
参数:
  • p1: 点1
  • p2: 点2
返回: 直线
源代码
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     """
         工厂函数 由两点构造直线。
@@ -151,7 +151,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
             直线
         """
     direction = p2 - p1
-    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
说明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
参数:
  • other: 另一条直线
返回: 交点
源代码
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
说明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
参数:
  • other: 另一条直线
返回: 交点
源代码
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     """
         计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
         Args:
@@ -164,7 +164,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif self.is_parallel(other) or not self.is_coplanar(other):
         return None
     else:
-        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
说明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
参数:
  • other:
源代码
python
def __eq__(self, other) -> bool:
+        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
说明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
参数:
  • other:
源代码
python
def __eq__(self, other) -> bool:
     """
         判断两条直线是否等价。
 
@@ -175,4 +175,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
`,105),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default};
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
`,107),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/api_mp_math_line.md.B-ShajAF.lean.js b/assets/api_mp_math_line.md.B-ShajAF.lean.js new file mode 100644 index 0000000..0cbde39 --- /dev/null +++ b/assets/api_mp_math_line.md.B-ShajAF.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n("",107),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/api_mp_math_line.md.DsJQDchM.lean.js b/assets/api_mp_math_line.md.DsJQDchM.lean.js deleted file mode 100644 index 56efe18..0000000 --- a/assets/api_mp_math_line.md.DsJQDchM.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n("",105),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/api_mp_math_mp_math_typing.md.BtAkBFH3.js b/assets/api_mp_math_mp_math_typing.md.BtAkBFH3.js new file mode 100644 index 0000000..4679220 --- /dev/null +++ b/assets/api_mp_math_mp_math_typing.md.BtAkBFH3.js @@ -0,0 +1 @@ +import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.C94oF1kp.js";const h=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"api/mp_math/mp_math_typing.md","filePath":"zh/api/mp_math/mp_math_typing.md"}'),n={name:"api/mp_math/mp_math_typing.md"},o=l('

mbcp.mp_math.mp_math_typing ​

说明: 本模块用于内部类型提示

var RealNumber = int | float ​

var Number = RealNumber | complex ​

var SingleVar = TypeVar('SingleVar', bound=Number) ​

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

var Var = SingleVar | ArrayVar ​

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

var MultiArraysFunc = Callable[..., ArrayVar] ​

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

',36),i=[o];function c(t,s,u,d,g,v){return e(),r("div",null,i)}const y=a(n,[["render",c]]);export{h as __pageData,y as default}; diff --git a/assets/api_mp_math_mp_math_typing.md.BtAkBFH3.lean.js b/assets/api_mp_math_mp_math_typing.md.BtAkBFH3.lean.js new file mode 100644 index 0000000..62056ed --- /dev/null +++ b/assets/api_mp_math_mp_math_typing.md.BtAkBFH3.lean.js @@ -0,0 +1 @@ +import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.C94oF1kp.js";const h=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"api/mp_math/mp_math_typing.md","filePath":"zh/api/mp_math/mp_math_typing.md"}'),n={name:"api/mp_math/mp_math_typing.md"},o=l("",36),i=[o];function c(t,s,u,d,g,v){return e(),r("div",null,i)}const y=a(n,[["render",c]]);export{h as __pageData,y as default}; diff --git a/assets/api_mp_math_mp_math_typing.md.COrE_fd3.js b/assets/api_mp_math_mp_math_typing.md.COrE_fd3.js deleted file mode 100644 index 3309a29..0000000 --- a/assets/api_mp_math_mp_math_typing.md.COrE_fd3.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.BV61Qrc0.js";const p=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"api/mp_math/mp_math_typing.md","filePath":"api/mp_math/mp_math_typing.md"}'),n={name:"api/mp_math/mp_math_typing.md"},o=l('

var RealNumber = int | float ​

var Number = RealNumber | complex ​

var SingleVar = TypeVar('SingleVar', bound=Number) ​

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

var Var = SingleVar | ArrayVar ​

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

var MultiArraysFunc = Callable[..., ArrayVar] ​

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

',34),i=[o];function t(s,c,u,g,v,d){return e(),r("div",null,i)}const m=a(n,[["render",t]]);export{p as __pageData,m as default}; diff --git a/assets/api_mp_math_mp_math_typing.md.COrE_fd3.lean.js b/assets/api_mp_math_mp_math_typing.md.COrE_fd3.lean.js deleted file mode 100644 index f8e666c..0000000 --- a/assets/api_mp_math_mp_math_typing.md.COrE_fd3.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.BV61Qrc0.js";const p=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"api/mp_math/mp_math_typing.md","filePath":"api/mp_math/mp_math_typing.md"}'),n={name:"api/mp_math/mp_math_typing.md"},o=l("",34),i=[o];function t(s,c,u,g,v,d){return e(),r("div",null,i)}const m=a(n,[["render",t]]);export{p as __pageData,m as default}; diff --git a/assets/api_mp_math_plane.md.CmoVvPiw.lean.js b/assets/api_mp_math_plane.md.CmoVvPiw.lean.js deleted file mode 100644 index 434353e..0000000 --- a/assets/api_mp_math_plane.md.CmoVvPiw.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"api/mp_math/plane.md"}'),l={name:"api/mp_math/plane.md"},h=n("",103),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/api_mp_math_plane.md.CmoVvPiw.js b/assets/api_mp_math_plane.md.DnJHiXsz.js similarity index 93% rename from assets/api_mp_math_plane.md.CmoVvPiw.js rename to assets/api_mp_math_plane.md.DnJHiXsz.js index 20f083b..7633bd2 100644 --- a/assets/api_mp_math_plane.md.CmoVvPiw.js +++ b/assets/api_mp_math_plane.md.DnJHiXsz.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"api/mp_math/plane.md"}'),l={name:"api/mp_math/plane.md"},h=n(`

class Plane3 ​

method __init__(self, a: float, b: float, c: float, d: float) ​

说明: 平面方程：ax + by + cz + d = 0

参数:

源代码
python
def __init__(self, a: float, b: float, c: float, d: float):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"zh/api/mp_math/plane.md"}'),l={name:"api/mp_math/plane.md"},h=n(`
mbcp.mp_math.plane ​
说明: 本模块定义了三维空间中的平面类
class Plane3 ​
method __init__(self, a: float, b: float, c: float, d: float) ​
说明: 平面方程：ax + by + cz + d = 0
参数:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源代码
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -10,7 +10,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     self.a = a
     self.b = b
     self.c = c
-    self.d = d
method approx(self, other: Plane3) -> bool ​
说明: 判断两个平面是否近似相等。
参数:
  • other: 另一个平面
返回: 是否近似相等
源代码
python
def approx(self, other: 'Plane3') -> bool:
+    self.d = d
method approx(self, other: Plane3) -> bool ​
说明: 判断两个平面是否近似相等。
参数:
  • other: 另一个平面
返回: 是否近似相等
源代码
python
def approx(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否近似相等。
         Args:
@@ -28,7 +28,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
说明: 计算平面与平面之间的夹角。
参数:
  • other: 另一个平面
返回: 夹角弧度
引发:
  • TypeError 不支持的类型
源代码
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
+        return False
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
说明: 计算平面与平面之间的夹角。
参数:
  • other: 另一个平面
返回: 夹角弧度
引发:
  • TypeError 不支持的类型
源代码
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     """
         计算平面与平面之间的夹角。
         Args:
@@ -43,7 +43,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
说明: 计算平面与平面或点之间的距离。
参数:
  • other: 另一个平面或点
返回: 距离
引发:
  • TypeError 不支持的类型
源代码
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
说明: 计算平面与平面或点之间的距离。
参数:
  • other: 另一个平面或点
返回: 距离
引发:
  • TypeError 不支持的类型
源代码
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
     """
         计算平面与平面或点之间的距离。
         Args:
@@ -58,7 +58,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
说明: 计算两平面的交线。
参数:
  • other: 另一个平面
返回: 两平面的交线
源代码
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
说明: 计算两平面的交线。
参数:
  • other: 另一个平面
返回: 两平面的交线
源代码
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     """
         计算两平面的交线。
         Args:
@@ -83,7 +83,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
说明: 计算平面与直线的交点。
参数:
  • other: 不与平面平行或在平面上的直线
返回: 交点
引发:
  • ValueError 平面与直线平行或重合
源代码
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
+    return Line3(Point3(x, y, z), direction)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
说明: 计算平面与直线的交点。
参数:
  • other: 不与平面平行或在平面上的直线
返回: 交点
引发:
  • ValueError 平面与直线平行或重合
源代码
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
     """
         计算平面与直线的交点。
         Args:
@@ -97,7 +97,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
说明: 计算平行于该平面且过指定点的平面。
参数:
  • point: 指定点
返回: 所求平面
源代码
python
def cal_parallel_plane3(self, point: 'Point3') -> 'Plane3':
+    return Point3(x(t), y(t), z(t))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
说明: 计算平行于该平面且过指定点的平面。
参数:
  • point: 指定点
返回: 所求平面
源代码
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:
@@ -105,7 +105,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             所求平面
         """
-    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
说明: 判断两个平面是否平行。
参数:
  • other: 另一个平面
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Plane3') -> bool:
+    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
说明: 判断两个平面是否平行。
参数:
  • other: 另一个平面
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否平行。
         Args:
@@ -113,14 +113,14 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             是否平行
         """
-    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
说明: 平面的法向量。
返回: 法向量
源代码
python
@property
+    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
说明: 平面的法向量。
返回: 法向量
源代码
python
@property
 def normal(self) -> 'Vector3':
     """
         平面的法向量。
         Returns:
             法向量
         """
-    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
说明: 工厂函数 由点和法向量构造平面(点法式构造)。
参数:
  • point: 平面上的一点
  • normal: 法向量
返回: 平面
源代码
python
@classmethod
+    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
说明: 工厂函数 由点和法向量构造平面(点法式构造)。
参数:
  • point: 平面上的一点
  • normal: 法向量
返回: 平面
源代码
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)。
@@ -132,7 +132,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         """
     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)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
说明: 工厂函数 由三点构造平面。
参数:
  • p1: 点1
  • p2: 点2
  • p3: 点3
返回: 平面
源代码
python
@classmethod
+    return cls(a, b, c, d)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
说明: 工厂函数 由三点构造平面。
参数:
  • p1: 点1
  • p2: 点2
  • p3: 点3
返回: 平面
源代码
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。
@@ -146,7 +146,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     v1 = p2 - p1
     v2 = p3 - p1
     normal = v1.cross(v2)
-    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
说明: 工厂函数 由两直线构造平面。
参数:
  • l1: 直线1
  • l2: 直线2
返回: 平面
源代码
python
@classmethod
+    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
说明: 工厂函数 由两直线构造平面。
参数:
  • l1: 直线1
  • l2: 直线2
返回: 平面
源代码
python
@classmethod
 def from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3':
     """
         工厂函数 由两直线构造平面。
@@ -160,7 +160,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
说明: 工厂函数 由点和直线构造平面。
参数:
  • point: 面上一点
  • line: 面上直线，不包含点
返回: 平面
源代码
python
@classmethod
+    return cls.from_point_and_normal(l1.point, v1.cross(v2))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
说明: 工厂函数 由点和直线构造平面。
参数:
  • point: 面上一点
  • line: 面上直线，不包含点
返回: 平面
源代码
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。
@@ -170,11 +170,11 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             平面
         """
-    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
源代码
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
源代码
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
源代码
python
@overload
+    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
源代码
python
@overload
 def __and__(self, other: 'Plane3') -> 'Line3 | None':
-    ...
method __and__(self, other) ​
说明: 取两平面的交集（人话：交线）
参数:
  • other:
返回: 不平行平面的交线，平面平行返回None
源代码
python
def __and__(self, other):
+    ...
method __and__(self, other) ​
说明: 取两平面的交集（人话：交线）
参数:
  • other:
返回: 不平行平面的交线，平面平行返回None
源代码
python
def __and__(self, other):
     """
         取两平面的交集（人话：交线）
         Args:
@@ -191,6 +191,6 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
             return None
         return self.cal_intersection_point3(other)
     else:
-        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
源代码
python
def __eq__(self, other) -> bool:
-    return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
源代码
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
`,103),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default};
+        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

源代码
python
def __eq__(self, other) -> bool:
+    return self.approx(other)

method __rand__(self, other: Line3) -> Point3 ​

源代码
python
def __rand__(self, other: 'Line3') -> 'Point3':
+    return self.cal_intersection_point3(other)
`,105),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/api_mp_math_plane.md.DnJHiXsz.lean.js b/assets/api_mp_math_plane.md.DnJHiXsz.lean.js new file mode 100644 index 0000000..1cd06c4 --- /dev/null +++ b/assets/api_mp_math_plane.md.DnJHiXsz.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"zh/api/mp_math/plane.md"}'),l={name:"api/mp_math/plane.md"},h=n("",105),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/api_mp_math_point.md.ClJD85mP.js b/assets/api_mp_math_point.md.9ZJsp3fx.js similarity index 84% rename from assets/api_mp_math_point.md.ClJD85mP.js rename to assets/api_mp_math_point.md.9ZJsp3fx.js index c1f3ae7..33dbc05 100644 --- a/assets/api_mp_math_point.md.ClJD85mP.js +++ b/assets/api_mp_math_point.md.9ZJsp3fx.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},l=t(`

class Point3 ​

method __init__(self, x: float, y: float, z: float) ​

说明: 笛卡尔坐标系中的点。

参数:

源代码
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"zh/api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},h=t(`
mbcp.mp_math.point ​
说明: 本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 笛卡尔坐标系中的点。
参数:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源代码
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -8,7 +8,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
说明: 判断两个点是否近似相等。
参数:
  • other:
  • epsilon:
返回: 是否近似相等
源代码
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
说明: 判断两个点是否近似相等。
参数:
  • other:
  • epsilon:
返回: 是否近似相等
源代码
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
     """
         判断两个点是否近似相等。
         Args:
@@ -18,11 +18,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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])
@overload ​
method self + other: Vector3 => Point3 ​
源代码
python
@overload
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
@overload ​
method self + other: Vector3 => Point3 ​
源代码
python
@overload
 def __add__(self, other: 'Vector3') -> 'Point3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
源代码
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
源代码
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
说明: P + V -> P P + P -> P
参数:
  • other:
源代码
python
def __add__(self, other):
+    ...
method self + other ​
说明: P + V -> P P + P -> P
参数:
  • other:
源代码
python
def __add__(self, other):
     """
         P + V -> P
         P + P -> P
@@ -30,14 +30,14 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
             other:
         Returns:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
说明: 判断两个点是否相等。
参数:
  • other:
源代码
python
def __eq__(self, other):
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
说明: 判断两个点是否相等。
参数:
  • other:
源代码
python
def __eq__(self, other):
     """
         判断两个点是否相等。
         Args:
             other:
         Returns:
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
说明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
参数:
  • other:
源代码
python
def __sub__(self, other: 'Point3') -> 'Vector3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
说明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
参数:
  • other:
源代码
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     """
         P - P -> V
 
@@ -48,4 +48,4 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,34),h=[l];function e(p,k,o,r,d,E){return a(),i("div",null,h)}const F=s(n,[["render",e]]);export{y as __pageData,F as default};
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,36),l=[h];function e(p,k,o,r,d,E){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/api_mp_math_point.md.9ZJsp3fx.lean.js b/assets/api_mp_math_point.md.9ZJsp3fx.lean.js new file mode 100644 index 0000000..5dccae5 --- /dev/null +++ b/assets/api_mp_math_point.md.9ZJsp3fx.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"zh/api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},h=t("",36),l=[h];function e(p,k,o,r,d,E){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/api_mp_math_point.md.ClJD85mP.lean.js b/assets/api_mp_math_point.md.ClJD85mP.lean.js deleted file mode 100644 index 0d932bd..0000000 --- a/assets/api_mp_math_point.md.ClJD85mP.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},l=t("",34),h=[l];function e(p,k,o,r,d,E){return a(),i("div",null,h)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/api_mp_math_segment.md.7jBtS4F1.lean.js b/assets/api_mp_math_segment.md.7jBtS4F1.lean.js deleted file mode 100644 index 5f0b88a..0000000 --- a/assets/api_mp_math_segment.md.7jBtS4F1.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},h=n("",4),p=[h];function l(k,e,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{o as __pageData,y as default}; diff --git a/assets/api_mp_math_segment.md.7jBtS4F1.js b/assets/api_mp_math_segment.md.BLQ-UFFk.js similarity index 68% rename from assets/api_mp_math_segment.md.7jBtS4F1.js rename to assets/api_mp_math_segment.md.BLQ-UFFk.js index 304bf09..05580a0 100644 --- a/assets/api_mp_math_segment.md.7jBtS4F1.js +++ b/assets/api_mp_math_segment.md.BLQ-UFFk.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},h=n(`

class Segment3 ​

method __init__(self, p1: Point3, p2: Point3) ​

说明: 三维空间中的线段。 :param p1: :param p2:

源代码
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},h=n(`
mbcp.mp_math.segment ​
说明: 本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
说明: 三维空间中的线段。 :param p1: :param p2:
源代码
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -11,4 +11,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o
     '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)
`,4),p=[h];function l(k,e,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{o as __pageData,y as default};
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,6),p=[h];function l(e,k,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{F as __pageData,y as default}; diff --git a/assets/api_mp_math_segment.md.BLQ-UFFk.lean.js b/assets/api_mp_math_segment.md.BLQ-UFFk.lean.js new file mode 100644 index 0000000..44745b3 --- /dev/null +++ b/assets/api_mp_math_segment.md.BLQ-UFFk.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},h=n("",6),p=[h];function l(e,k,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{F as __pageData,y as default}; diff --git a/assets/api_mp_math_utils.md.BMwtm7TJ.lean.js b/assets/api_mp_math_utils.md.BMwtm7TJ.lean.js deleted file mode 100644 index e04783d..0000000 --- a/assets/api_mp_math_utils.md.BMwtm7TJ.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"api/mp_math/utils.md"}'),t={name:"api/mp_math/utils.md"},l=n("",33),h=[l];function p(k,e,r,d,o,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/api_mp_math_utils.md.BMwtm7TJ.js b/assets/api_mp_math_utils.md.yzrnwrbP.js similarity index 65% rename from assets/api_mp_math_utils.md.BMwtm7TJ.js rename to assets/api_mp_math_utils.md.yzrnwrbP.js index 6b2d37f..7ae4d8a 100644 --- a/assets/api_mp_math_utils.md.BMwtm7TJ.js +++ b/assets/api_mp_math_utils.md.yzrnwrbP.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"api/mp_math/utils.md"}'),t={name:"api/mp_math/utils.md"},l=n(`

func clamp() -> float ​

说明: 区间限定函数

参数:

返回: 限制后的值

源代码
python
def clamp(x: float, min_: float, max_: float) -> float:
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"zh/api/mp_math/utils.md"}'),l={name:"api/mp_math/utils.md"},t=n(`
mbcp.mp_math.utils ​
说明: 本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
说明: 区间限定函数
参数:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
返回: 限制后的值
源代码
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -9,7 +9,20 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     Returns:
         限制后的值
     """
-    return max(min(x, max_), min_)
func approx(x: float = 0.0, y: float = APPROX) -> bool ​
说明: 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。
参数:
  • x: 数1
  • y: 数2
  • epsilon: 误差
返回: 是否近似相等
源代码
python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
+    return max(min(x, max_), min_)
class Approx ​
method __init__(self, value: RealNumber) ​
源代码
python
def __init__(self, value: RealNumber):
+    self.value = value
method __eq__(self, other) ​
源代码
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) ​
源代码
python
def raise_type_error(self, other):
+    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
源代码
python
def __ne__(self, other):
+    return not self.__eq__(other)
func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool ​
说明: 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。
参数:
  • x: 数1
  • y: 数2
  • epsilon: 误差
返回: 是否近似相等
源代码
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:
@@ -19,7 +32,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     Returns:
         是否近似相等
     """
-    return abs(x - y) < epsilon
func sign(x: float = False) -> str ​
说明: 获取数的符号。
参数:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源代码
python
def sign(x: float, only_neg: bool=False) -> str:
+    return abs(x - y) < epsilon
func sign(x: float, only_neg: bool = False) -> str ​
说明: 获取数的符号。
参数:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源代码
python
def sign(x: float, only_neg: bool=False) -> str:
     """获取数的符号。
     Args:
         x: 数
@@ -32,7 +45,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif x < 0:
         return '-'
     else:
-        return ''
func sign_format(x: float = False) -> str ​
说明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
参数:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源代码
python
def sign_format(x: float, only_neg: bool=False) -> str:
+        return ''
func sign_format(x: float, only_neg: bool = False) -> str ​
说明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
参数:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源代码
python
def sign_format(x: float, only_neg: bool=False) -> str:
     """格式化符号数
     -1 -> -1
     1 -> +1
@@ -48,17 +61,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
class Approx ​
method __init__(self, value: RealNumber) ​
源代码
python
def __init__(self, value: RealNumber):
-    self.value = value
method __eq__(self, other) ​
源代码
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) ​
源代码
python
def raise_type_error(self, other):
-    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
源代码
python
def __ne__(self, other):
-    return not self.__eq__(other)
`,33),h=[l];function p(k,e,r,d,o,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default};
+        return ''
`,35),h=[t];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/api_mp_math_utils.md.yzrnwrbP.lean.js b/assets/api_mp_math_utils.md.yzrnwrbP.lean.js new file mode 100644 index 0000000..0ae93f4 --- /dev/null +++ b/assets/api_mp_math_utils.md.yzrnwrbP.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"zh/api/mp_math/utils.md"}'),l={name:"api/mp_math/utils.md"},t=n("",35),h=[t];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/api_mp_math_vector.md.CROCIDXX.js b/assets/api_mp_math_vector.md.BSPllWFK.js similarity index 90% rename from assets/api_mp_math_vector.md.CROCIDXX.js rename to assets/api_mp_math_vector.md.BSPllWFK.js index 46eb303..8016e2d 100644 --- a/assets/api_mp_math_vector.md.CROCIDXX.js +++ b/assets/api_mp_math_vector.md.BSPllWFK.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"api/mp_math/vector.md"}'),n={name:"api/mp_math/vector.md"},h=t(`

class Vector3 ​

method __init__(self, x: float, y: float, z: float) ​

说明: 3维向量

参数:

源代码
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"zh/api/mp_math/vector.md"}'),n={name:"api/mp_math/vector.md"},h=t(`
mbcp.mp_math.vector ​
说明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 3维向量
参数:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源代码
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -8,7 +8,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
说明: 判断两个向量是否近似相等。
参数:
  • other:
  • epsilon:
返回: 是否近似相等
源代码
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
说明: 判断两个向量是否近似相等。
参数:
  • other:
  • epsilon:
返回: 是否近似相等
源代码
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
     """
         判断两个向量是否近似相等。
         Args:
@@ -18,7 +18,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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])
method cal_angle(self, other: Vector3) -> AnyAngle ​
说明: 计算两个向量之间的夹角。
参数:
  • other: 另一个向量
返回: 夹角
源代码
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
method cal_angle(self, other: Vector3) -> AnyAngle ​
说明: 计算两个向量之间的夹角。
参数:
  • other: 另一个向量
返回: 夹角
源代码
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
     """
         计算两个向量之间的夹角。
         Args:
@@ -26,7 +26,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             夹角
         """
-    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
说明: 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。
参数:
  • other:
返回: 行列式的结果
源代码
python
def cross(self, other: 'Vector3') -> 'Vector3':
+    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
说明: 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。
参数:
  • other:
返回: 行列式的结果
源代码
python
def cross(self, other: 'Vector3') -> 'Vector3':
     """
         向量积 叉乘：v1 cross v2 -> v3
 
@@ -46,7 +46,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
说明: 判断两个向量是否近似平行。
参数:
  • other: 另一个向量
  • epsilon: 允许的误差
返回: 是否近似平行
源代码
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
说明: 判断两个向量是否近似平行。
参数:
  • other: 另一个向量
  • epsilon: 允许的误差
返回: 是否近似平行
源代码
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:
@@ -55,7 +55,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否近似平行
         """
-    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
说明: 判断两个向量是否平行。
参数:
  • other: 另一个向量
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Vector3') -> bool:
+    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
说明: 判断两个向量是否平行。
参数:
  • other: 另一个向量
返回: 是否平行
源代码
python
def is_parallel(self, other: 'Vector3') -> bool:
     """
         判断两个向量是否平行。
         Args:
@@ -63,7 +63,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否平行
         """
-    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
说明: 将向量归一化。
自体归一化，不返回值。
源代码
python
def normalize(self):
+    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
说明: 将向量归一化。
自体归一化，不返回值。
源代码
python
def normalize(self):
     """
         将向量归一化。
 
@@ -72,32 +72,32 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     length = self.length
     self.x /= length
     self.y /= length
-    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
源代码
python
@property
+    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
源代码
python
@property
 def np_array(self) -> 'np.ndarray':
     """
         返回numpy数组
         Returns:
         """
-    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
说明: 向量的模。
返回: 模
源代码
python
@property
+    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
说明: 向量的模。
返回: 模
源代码
python
@property
 def length(self) -> float:
     """
         向量的模。
         Returns:
             模
         """
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
说明: 获取该向量的单位向量。
返回: 单位向量
源代码
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
说明: 获取该向量的单位向量。
返回: 单位向量
源代码
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
method __abs__(self) ​
源代码
python
def __abs__(self):
-    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
源代码
python
@overload
+    return self / self.length
method __abs__(self) ​
源代码
python
def __abs__(self):
+    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
源代码
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
源代码
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
源代码
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
说明: V + P -> P
V + V -> V
参数:
  • other:
源代码
python
def __add__(self, other):
+    ...
method self + other ​
说明: V + P -> P
V + V -> V
参数:
  • other:
源代码
python
def __add__(self, other):
     """
         V + P -> P
 
@@ -112,7 +112,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
说明: 判断两个向量是否相等。
参数:
  • other:
返回: 是否相等
源代码
python
def __eq__(self, other):
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
说明: 判断两个向量是否相等。
参数:
  • other:
返回: 是否相等
源代码
python
def __eq__(self, other):
     """
         判断两个向量是否相等。
         Args:
@@ -120,7 +120,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否相等
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
说明: P + V -> P
别去点那边实现了。 :param other: :return:
源代码
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
说明: P + V -> P
别去点那边实现了。 :param other: :return:
源代码
python
def __radd__(self, other: 'Point3') -> 'Point3':
     """
         P + V -> P
 
@@ -128,11 +128,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         :param other:
         :return:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
源代码
python
@overload
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
源代码
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self - other: Point3 => Point3 ​
源代码
python
@overload
+    ...
@overload ​
method self - other: Point3 => Point3 ​
源代码
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...
method self - other ​
说明: V - P -> P
V - V -> V
参数:
  • other:
源代码
python
def __sub__(self, other):
+    ...
method self - other ​
说明: V - P -> P
V - V -> V
参数:
  • other:
源代码
python
def __sub__(self, other):
     """
         V - P -> P
 
@@ -146,7 +146,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
说明: P - V -> P
参数:
  • other:
源代码
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
说明: P - V -> P
参数:
  • other:
源代码
python
def __rsub__(self, other: 'Point3'):
     """
         P - V -> P
         Args:
@@ -157,11 +157,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
源代码
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
源代码
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self * other: RealNumber => Vector3 ​
源代码
python
@overload
+    ...
@overload ​
method self * other: RealNumber => Vector3 ​
源代码
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...
method self * other: int | float | Vector3 => Vector3 ​
说明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
参数:
  • other:
源代码
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...
method self * other: int | float | Vector3 => Vector3 ​
说明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
参数:
  • other:
源代码
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     """
         数组运算 非点乘。点乘使用@，叉乘使用cross。
         Args:
@@ -174,14 +174,14 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
源代码
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
说明: 点乘。
参数:
  • other:
源代码
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
源代码
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
说明: 点乘。
参数:
  • other:
源代码
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
     """
         点乘。
         Args:
             other:
         Returns:
         """
-    return self.x * other.x + self.y * other.y + self.z * other.z
method self / other: RealNumber => Vector3 ​
源代码
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
-    return Vector3(self.x / other, self.y / other, self.z / other)
method - self ​
源代码
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • 类型: Vector3
  • 说明: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • 类型: Vector3
  • 说明: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • 类型: Vector3
  • 说明: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • 类型: Vector3
  • 说明: z轴单位向量
`,125),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default};
+    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

源代码
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
+    return Vector3(self.x / other, self.y / other, self.z / other)

method - self ​

源代码
python
def __neg__(self):
+    return Vector3(-self.x, -self.y, -self.z)

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) ​

`,127),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/api_mp_math_vector.md.BSPllWFK.lean.js b/assets/api_mp_math_vector.md.BSPllWFK.lean.js new file mode 100644 index 0000000..2364ec2 --- /dev/null +++ b/assets/api_mp_math_vector.md.BSPllWFK.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"zh/api/mp_math/vector.md"}'),n={name:"api/mp_math/vector.md"},h=t("",127),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/api_mp_math_vector.md.CROCIDXX.lean.js b/assets/api_mp_math_vector.md.CROCIDXX.lean.js deleted file mode 100644 index a26b965..0000000 --- a/assets/api_mp_math_vector.md.CROCIDXX.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"api/mp_math/vector.md"}'),n={name:"api/mp_math/vector.md"},h=t("",125),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/api_particle_index.md.BRCSxC3e.js b/assets/api_particle_index.md.BRCSxC3e.js deleted file mode 100644 index aee1a91..0000000 --- a/assets/api_particle_index.md.BRCSxC3e.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"api/particle/index.md","filePath":"api/particle/index.md"}'),i={name:"api/particle/index.md"};function r(c,p,n,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default}; diff --git a/assets/api_particle_index.md.BRCSxC3e.lean.js b/assets/api_particle_index.md.BRCSxC3e.lean.js deleted file mode 100644 index aee1a91..0000000 --- a/assets/api_particle_index.md.BRCSxC3e.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"api/particle/index.md","filePath":"api/particle/index.md"}'),i={name:"api/particle/index.md"};function r(c,p,n,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default}; diff --git a/assets/api_particle_index.md.Cgiljhcz.js b/assets/api_particle_index.md.Cgiljhcz.js new file mode 100644 index 0000000..32bbc28 --- /dev/null +++ b/assets/api_particle_index.md.Cgiljhcz.js @@ -0,0 +1 @@ +import{_ as a,c,o as r,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","collapsed":true},"headers":[],"relativePath":"api/particle/index.md","filePath":"zh/api/particle/index.md"}'),i={name:"api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[t("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),l=e("p",null,[e("strong",null,"说明"),t(": 本模块定义了粒子生成相关的工具")],-1),n=[p,l];function o(s,d,_,m,h,f){return r(),c("div",null,n)}const u=a(i,[["render",o]]);export{b as __pageData,u as default}; diff --git a/assets/api_particle_index.md.Cgiljhcz.lean.js b/assets/api_particle_index.md.Cgiljhcz.lean.js new file mode 100644 index 0000000..32bbc28 --- /dev/null +++ b/assets/api_particle_index.md.Cgiljhcz.lean.js @@ -0,0 +1 @@ +import{_ as a,c,o as r,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","collapsed":true},"headers":[],"relativePath":"api/particle/index.md","filePath":"zh/api/particle/index.md"}'),i={name:"api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[t("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),l=e("p",null,[e("strong",null,"说明"),t(": 本模块定义了粒子生成相关的工具")],-1),n=[p,l];function o(s,d,_,m,h,f){return r(),c("div",null,n)}const u=a(i,[["render",o]]);export{b as __pageData,u as default}; diff --git a/assets/api_presets_index.md.Dl6Ss91J.js b/assets/api_presets_index.md.Dl6Ss91J.js deleted file mode 100644 index 638232d..0000000 --- a/assets/api_presets_index.md.Dl6Ss91J.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as s}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"api/presets/index.md","filePath":"api/presets/index.md"}'),a={name:"api/presets/index.md"};function r(p,n,i,c,o,d){return s(),t("div")}const f=e(a,[["render",r]]);export{_ as __pageData,f as default}; diff --git a/assets/api_presets_index.md.Dl6Ss91J.lean.js b/assets/api_presets_index.md.Dl6Ss91J.lean.js deleted file mode 100644 index 638232d..0000000 --- a/assets/api_presets_index.md.Dl6Ss91J.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as s}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"api/presets/index.md","filePath":"api/presets/index.md"}'),a={name:"api/presets/index.md"};function r(p,n,i,c,o,d){return s(),t("div")}const f=e(a,[["render",r]]);export{_ as __pageData,f as default}; diff --git a/assets/api_presets_index.md.RZipvyLz.js b/assets/api_presets_index.md.RZipvyLz.js new file mode 100644 index 0000000..a18d9bc --- /dev/null +++ b/assets/api_presets_index.md.RZipvyLz.js @@ -0,0 +1 @@ +import{_ as s,c as a,o,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","collapsed":true},"headers":[],"relativePath":"api/presets/index.md","filePath":"zh/api/presets/index.md"}'),r={name:"api/presets/index.md"},i=e("h1",{id:"mbcp-presets",tabindex:"-1"},[t("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),n=e("p",null,[e("strong",null,"说明"),t(": Copyright (C) 2020-2024 LiteyukiStudio. 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All Rights Reserved")],-1),p=e("p",null,[t("@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : "),e("a",{href:"mailto:snowykami@outlook.com",target:"_blank",rel:"noreferrer"},"snowykami@outlook.com"),t(" @File : "),e("strong",null,"init"),t(".py @Software: PyCharm")],-1),l=[i,n,p];function c(d,m,_,h,u,f){return o(),a("div",null,l)}const x=s(r,[["render",c]]);export{b as __pageData,x as default}; diff --git a/assets/ja_api_presets_model_index.md.D8yZmO5R.js b/assets/api_presets_model_index.md.4RPSG4yh.js similarity index 76% rename from assets/ja_api_presets_model_index.md.D8yZmO5R.js rename to assets/api_presets_model_index.md.4RPSG4yh.js index cec2b23..1e7857f 100644 --- a/assets/ja_api_presets_model_index.md.D8yZmO5R.js +++ b/assets/api_presets_model_index.md.4RPSG4yh.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"ja/api/presets/model/index.md","filePath":"ja/api/presets/model/index.md"}'),t={name:"ja/api/presets/model/index.md"},h=n(`

class GeometricModels ​

@staticmethod ​

method sphere(radius: float, density: float) ​

説明: 生成球体上的点集。

引数:

戻り値: List[Point3]: 球体上的点集。

ソースコード
python
@staticmethod
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","collapsed":true},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"zh/api/presets/model/index.md"}'),t={name:"api/presets/model/index.md"},h=n(`
mbcp.presets.model ​
说明: 几何模型点集
class GeometricModels ​
@staticmethod ​
method sphere(radius: float, density: float) ​
说明: 生成球体上的点集。
参数:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源代码
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -15,4 +15,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o
     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)]
`,8),l=[h];function k(p,e,r,d,E,g){return a(),i("div",null,l)}const F=s(t,[["render",k]]);export{o as __pageData,F as default};
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
`,10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{y as __pageData,c as default}; diff --git a/assets/api_presets_model_index.md.4RPSG4yh.lean.js b/assets/api_presets_model_index.md.4RPSG4yh.lean.js new file mode 100644 index 0000000..38610d4 --- /dev/null +++ b/assets/api_presets_model_index.md.4RPSG4yh.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","collapsed":true},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"zh/api/presets/model/index.md"}'),t={name:"api/presets/model/index.md"},h=n("",10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{y as __pageData,c as default}; diff --git a/assets/api_presets_model_index.md.DUZx13AW.lean.js b/assets/api_presets_model_index.md.DUZx13AW.lean.js deleted file mode 100644 index 8d14981..0000000 --- a/assets/api_presets_model_index.md.DUZx13AW.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"api/presets/model/index.md"}'),t={name:"api/presets/model/index.md"},h=n("",8),l=[h];function k(p,e,r,d,E,g){return a(),i("div",null,l)}const F=s(t,[["render",k]]);export{o as __pageData,F as default}; diff --git a/assets/app.l1Ut0uce.js b/assets/app.DSCSdM_3.js similarity index 90% rename from assets/app.l1Ut0uce.js rename to assets/app.DSCSdM_3.js index 96db258..adc29dc 100644 --- a/assets/app.l1Ut0uce.js +++ b/assets/app.DSCSdM_3.js @@ -1 +1 @@ -import{t as i}from"./chunks/theme.BPuUWxkA.js";import{U as o,a3 as u,a4 as c,a5 as l,a6 as f,a7 as d,a8 as m,a9 as h,aa as g,ab as A,ac as y,d as P,u as v,y as C,x as b,ad as w,ae as E,af as R,ag as S}from"./chunks/framework.BV61Qrc0.js";function p(e){if(e.extends){const a=p(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=p(i),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return C(()=>{b(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&w(),E(),R(),s.setup&&s.setup(),()=>S(s.Layout)}});async function x(){globalThis.__VITEPRESS__=!0;const e=_(),a=D();a.provide(c,e);const t=l(e.route);return a.provide(f,t),a.component("Content",d),a.component("ClientOnly",m),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:h}),{app:a,router:e,data:t}}function D(){return g(T)}function _(){let e=o,a;return A(t=>{let n=y(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&x().then(({app:e,router:a,data:t})=>{a.go().then(()=>{u(a.route,t.site),e.mount("#app")})});export{x as createApp}; +import{t as i}from"./chunks/theme.CIS5wKR_.js";import{U as o,a3 as u,a4 as c,a5 as l,a6 as f,a7 as d,a8 as m,a9 as h,aa as g,ab as A,ac as y,d as P,u as v,y as C,x as b,ad as w,ae as E,af as R,ag as S}from"./chunks/framework.C94oF1kp.js";function p(e){if(e.extends){const a=p(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=p(i),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return C(()=>{b(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&w(),E(),R(),s.setup&&s.setup(),()=>S(s.Layout)}});async function x(){globalThis.__VITEPRESS__=!0;const e=_(),a=D();a.provide(c,e);const t=l(e.route);return a.provide(f,t),a.component("Content",d),a.component("ClientOnly",m),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:h}),{app:a,router:e,data:t}}function D(){return g(T)}function _(){let e=o,a;return A(t=>{let n=y(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&x().then(({app:e,router:a,data:t})=>{a.go().then(()=>{u(a.route,t.site),e.mount("#app")})});export{x as createApp}; diff --git a/assets/chunks/framework.BV61Qrc0.js b/assets/chunks/framework.C94oF1kp.js similarity index 79% rename from assets/chunks/framework.BV61Qrc0.js rename to assets/chunks/framework.C94oF1kp.js index ab3df33..28b3b93 100644 --- a/assets/chunks/framework.BV61Qrc0.js +++ b/assets/chunks/framework.C94oF1kp.js @@ -14,4 +14,4 @@ * @vue/runtime-dom v3.4.38 * (c) 2018-present Yuxi (Evan) You 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"),e("a",{class:"header-anchor",href:"#demo","aria-label":'Permalink to "demo"'},"​")],-1),s=[r];function c(i,m,_,l,h,p){return o(),t("div",null,s)}const u=a(n,[["render",c]]);export{x as __pageData,u as default}; diff --git a/assets/demo_index.md.D-H9zRUE.lean.js b/assets/demo_index.md.D-H9zRUE.lean.js new file mode 100644 index 0000000..b0246fb --- /dev/null +++ b/assets/demo_index.md.D-H9zRUE.lean.js @@ -0,0 +1 @@ +import{_ as a,c as t,o,j as e,a as d}from"./chunks/framework.C94oF1kp.js";const x=JSON.parse('{"title":"demo","description":"","frontmatter":{},"headers":[],"relativePath":"demo/index.md","filePath":"zh/demo/index.md"}'),n={name:"demo/index.md"},r=e("h1",{id:"demo",tabindex:"-1"},[d("demo "),e("a",{class:"header-anchor",href:"#demo","aria-label":'Permalink to "demo"'},"​")],-1),s=[r];function c(i,m,_,l,h,p){return o(),t("div",null,s)}const u=a(n,[["render",c]]);export{x as __pageData,u as default}; diff --git a/assets/en_api_index.md.BaqBYqY8.js b/assets/en_api_index.md.BaqBYqY8.js new file mode 100644 index 0000000..0fb9529 --- /dev/null +++ b/assets/en_api_index.md.BaqBYqY8.js @@ -0,0 +1 @@ +import{_ as a,c as n,o as c,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),o={name:"en/api/index.md"},s=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"Description"),t(": 本模块塞了一些预设的粒子生成器")],-1),i=[s,r];function d(p,l,_,m,h,f){return c(),n("div",null,i)}const u=a(o,[["render",d]]);export{b as __pageData,u as default}; diff --git a/assets/en_api_index.md.BaqBYqY8.lean.js b/assets/en_api_index.md.BaqBYqY8.lean.js new file mode 100644 index 0000000..0fb9529 --- /dev/null +++ b/assets/en_api_index.md.BaqBYqY8.lean.js @@ -0,0 +1 @@ +import{_ as a,c as n,o as c,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),o={name:"en/api/index.md"},s=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"Description"),t(": 本模块塞了一些预设的粒子生成器")],-1),i=[s,r];function d(p,l,_,m,h,f){return c(),n("div",null,i)}const u=a(o,[["render",d]]);export{b as __pageData,u as default}; diff --git a/assets/en_api_index.md.Bgu-LD1B.js b/assets/en_api_index.md.Bgu-LD1B.js deleted file mode 100644 index 2792da6..0000000 --- a/assets/en_api_index.md.Bgu-LD1B.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),n={name:"en/api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default}; diff --git a/assets/en_api_index.md.Bgu-LD1B.lean.js b/assets/en_api_index.md.Bgu-LD1B.lean.js deleted file mode 100644 index 2792da6..0000000 --- a/assets/en_api_index.md.Bgu-LD1B.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),n={name:"en/api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default}; diff --git a/assets/en_api_mp_math_angle.md.BuhpKHnt.js b/assets/en_api_mp_math_angle.md.z39I-qRz.js similarity index 87% rename from assets/en_api_mp_math_angle.md.BuhpKHnt.js rename to assets/en_api_mp_math_angle.md.z39I-qRz.js index 94ef475..f4e83e1 100644 --- a/assets/en_api_mp_math_angle.md.BuhpKHnt.js +++ b/assets/en_api_mp_math_angle.md.z39I-qRz.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"en/api/mp_math/angle.md","filePath":"en/api/mp_math/angle.md"}'),t={name:"en/api/mp_math/angle.md"},e=n(`

class Angle ​

class AnyAngle(Angle) ​

method __init__(self, value: float, is_radian: bool = False) ​

Description: 任意角度。

Arguments:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code
python
def __init__(self, value: float, is_radian: bool=False):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"en/api/mp_math/angle.md","filePath":"en/api/mp_math/angle.md"}'),t={name:"en/api/mp_math/angle.md"},e=n(`
mbcp.mp_math.angle ​
Description: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
Description: 任意角度。
Arguments:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -8,92 +8,92 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const c
     if is_radian:
         self.radian = value
     else:
-        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
Description: 余角：两角的和为90°。
Return: 余角
Source code
python
@property
+        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
Description: 余角：两角的和为90°。
Return: 余角
Source code
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)
@property ​
method supplementary(self) -> AnyAngle ​
Description: 补角：两角的和为180°。
Return: 补角
Source code
python
@property
+    return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
@property ​
method supplementary(self) -> AnyAngle ​
Description: 补角：两角的和为180°。
Return: 补角
Source code
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)
@property ​
method degree(self) -> float ​
Description: 角度。
Return: 弧度
Source code
python
@property
+    return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
@property ​
method degree(self) -> float ​
Description: 角度。
Return: 弧度
Source code
python
@property
 def degree(self) -> float:
     """
         角度。
         Returns:
             弧度
         """
-    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
Description: 最小正角。
Return: 最小正角度
Source code
python
@property
+    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
Description: 最小正角。
Return: 最小正角度
Source code
python
@property
 def minimum_positive(self) -> 'AnyAngle':
     """
         最小正角。
         Returns:
             最小正角度
         """
-    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
Description: 最大负角。
Return: 最大负角度
Source code
python
@property
+    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
Description: 最大负角。
Return: 最大负角度
Source code
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)
@property ​
method sin(self) -> float ​
Description: 正弦值。
Return: 正弦值
Source code
python
@property
+    return AnyAngle(-self.radian % (2 * PI), is_radian=True)
@property ​
method sin(self) -> float ​
Description: 正弦值。
Return: 正弦值
Source code
python
@property
 def sin(self) -> float:
     """
         正弦值。
         Returns:
             正弦值
         """
-    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
Description: 余弦值。
Return: 余弦值
Source code
python
@property
+    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
Description: 余弦值。
Return: 余弦值
Source code
python
@property
 def cos(self) -> float:
     """
         余弦值。
         Returns:
             余弦值
         """
-    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
Description: 正切值。
Return: 正切值
Source code
python
@property
+    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
Description: 正切值。
Return: 正切值
Source code
python
@property
 def tan(self) -> float:
     """
         正切值。
         Returns:
             正切值
         """
-    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
Description: 余切值。
Return: 余切值
Source code
python
@property
+    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
Description: 余切值。
Return: 余切值
Source code
python
@property
 def cot(self) -> float:
     """
         余切值。
         Returns:
             余切值
         """
-    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
Description: 正割值。
Return: 正割值
Source code
python
@property
+    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
Description: 正割值。
Return: 正割值
Source code
python
@property
 def sec(self) -> float:
     """
         正割值。
         Returns:
             正割值
         """
-    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
Description: 余割值。
Return: 余割值
Source code
python
@property
+    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
Description: 余割值。
Return: 余割值
Source code
python
@property
 def csc(self) -> float:
     """
         余割值。
         Returns:
             余割值
         """
-    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
Source code
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
Source code
python
def __eq__(self, other):
-    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
Source code
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
Source code
python
def __mul__(self, other: float) -> 'AnyAngle':
-    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
Source code
python
@overload
+    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
Source code
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
Source code
python
def __eq__(self, other):
+    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
Source code
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
Source code
python
def __mul__(self, other: float) -> 'AnyAngle':
+    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
Source code
python
@overload
 def __truediv__(self, other: float) -> 'AnyAngle':
-    ...
@overload ​
method self / other: AnyAngle => float ​
Source code
python
@overload
+    ...
@overload ​
method self / other: AnyAngle => float ​
Source code
python
@overload
 def __truediv__(self, other: 'AnyAngle') -> float:
-    ...
method self / other ​
Source code
python
def __truediv__(self, other):
+    ...
method self / other ​
Source code
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)
`,78),l=[e];function h(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default};
+    return AnyAngle(self.radian / other, is_radian=True)
`,80),l=[e];function h(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default}; diff --git a/assets/en_api_mp_math_angle.md.BuhpKHnt.lean.js b/assets/en_api_mp_math_angle.md.z39I-qRz.lean.js similarity index 57% rename from assets/en_api_mp_math_angle.md.BuhpKHnt.lean.js rename to assets/en_api_mp_math_angle.md.z39I-qRz.lean.js index 89f6a58..b1e5da2 100644 --- a/assets/en_api_mp_math_angle.md.BuhpKHnt.lean.js +++ b/assets/en_api_mp_math_angle.md.z39I-qRz.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"en/api/mp_math/angle.md","filePath":"en/api/mp_math/angle.md"}'),t={name:"en/api/mp_math/angle.md"},e=n("",78),l=[e];function h(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"en/api/mp_math/angle.md","filePath":"en/api/mp_math/angle.md"}'),t={name:"en/api/mp_math/angle.md"},e=n("",80),l=[e];function h(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{c as __pageData,F as default}; diff --git a/assets/en_api_mp_math_const.md.CSc4Ut1v.js b/assets/en_api_mp_math_const.md.CSc4Ut1v.js new file mode 100644 index 0000000..714c29e --- /dev/null +++ b/assets/en_api_mp_math_const.md.CSc4Ut1v.js @@ -0,0 +1 @@ +import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"en/api/mp_math/const.md","filePath":"en/api/mp_math/const.md"}'),r={name:"en/api/mp_math/const.md"},i=o('

mbcp.mp_math.const ​

Description: 本模块定义了一些常用的常量

var PI = math.pi ​

  • Description: 常量 π

var E = math.e ​

  • Description: 自然对数的底 exp(1)

var GOLDEN_RATIO = (1 + math.sqrt(5)) / 2 ​

  • Description: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • Description: 欧拉常数

var EPSILON = 0.0001 ​

  • Description: 精度误差

var APPROX = 0.001 ​

  • Description: 约等于判定误差
',14),c=[i];function n(s,l,h,d,m,p){return e(),t("div",null,c)}const v=a(r,[["render",n]]);export{u as __pageData,v as default}; diff --git a/assets/en_api_mp_math_const.md.CSc4Ut1v.lean.js b/assets/en_api_mp_math_const.md.CSc4Ut1v.lean.js new file mode 100644 index 0000000..8778859 --- /dev/null +++ b/assets/en_api_mp_math_const.md.CSc4Ut1v.lean.js @@ -0,0 +1 @@ +import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"en/api/mp_math/const.md","filePath":"en/api/mp_math/const.md"}'),r={name:"en/api/mp_math/const.md"},i=o("",14),c=[i];function n(s,l,h,d,m,p){return e(),t("div",null,c)}const v=a(r,[["render",n]]);export{u as __pageData,v as default}; diff --git a/assets/en_api_mp_math_const.md.D_Flpj8t.js b/assets/en_api_mp_math_const.md.D_Flpj8t.js deleted file mode 100644 index 0e09b57..0000000 --- a/assets/en_api_mp_math_const.md.D_Flpj8t.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as a,o as e,a2 as o}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"en/api/mp_math/const.md","filePath":"en/api/mp_math/const.md"}'),r={name:"en/api/mp_math/const.md"},n=o('

var EPSILON = 0.0001 ​

  • Description: ε

var APPROX = 0.001 ​

  • Description: 约等于误差
',4),s=[n];function c(i,_,p,l,m,d){return e(),a("div",null,s)}const P=t(r,[["render",c]]);export{u as __pageData,P as default}; diff --git a/assets/en_api_mp_math_const.md.D_Flpj8t.lean.js b/assets/en_api_mp_math_const.md.D_Flpj8t.lean.js deleted file mode 100644 index f0c92b4..0000000 --- a/assets/en_api_mp_math_const.md.D_Flpj8t.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as a,o as e,a2 as o}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"en/api/mp_math/const.md","filePath":"en/api/mp_math/const.md"}'),r={name:"en/api/mp_math/const.md"},n=o("",4),s=[n];function c(i,_,p,l,m,d){return e(),a("div",null,s)}const P=t(r,[["render",c]]);export{u as __pageData,P as default}; diff --git a/assets/api_mp_math_equation.md.Bx8s1yFf.js b/assets/en_api_mp_math_equation.md.0VnHCQQ4.js similarity index 68% rename from assets/api_mp_math_equation.md.Bx8s1yFf.js rename to assets/en_api_mp_math_equation.md.0VnHCQQ4.js index a74b0fa..5e220ff 100644 --- a/assets/api_mp_math_equation.md.Bx8s1yFf.js +++ b/assets/en_api_mp_math_equation.md.0VnHCQQ4.js @@ -1,4 +1,26 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"api/mp_math/equation.md"}'),l={name:"api/mp_math/equation.md"},t=n(`

func get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc ​

说明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。

WARNING

目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升

参数:

  • 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

返回: 偏导函数

引发:

  • ValueError 无效变量类型
源代码
python
def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number=EPSILON) -> MultiVarsFunc:
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),t={name:"en/api/mp_math/equation.md"},l=n(`
mbcp.mp_math.equation ​
Description: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
Source code
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    """
+        曲线方程。
+        Args:
+            x_func: x函数
+            y_func: y函数
+            z_func: z函数
+        """
+    self.x_func = x_func
+    self.y_func = y_func
+    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
Description: 计算曲线上的点。
Arguments:
  • *t:
  • 参数:
Return: 目标点
Source code
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
+    """
+        计算曲线上的点。
+        Args:
+            *t:
+                参数
+        Returns:
+            目标点
+        """
+    if len(t) == 1:
+        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
+    else:
+        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc ​
Description: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。
WARNING
目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升
Arguments:
  • 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
Return: 偏导函数
Raises:
  • ValueError 无效变量类型
Source code
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。
     > [!warning]
@@ -40,7 +62,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
func curry(*args: Var) -> OneVarFunc ​
说明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
参数:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源代码
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
+        raise ValueError('Invalid var type')
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
Description: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
Arguments:
  • func: 函数
  • *args: 参数
Return: 柯里化后的函数
Source code
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
     """
     对多参数函数进行柯里化。
     > [!tip]
@@ -55,26 +77,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     def curried_func(*args2: Var) -> Var:
         """@litedoc-hide"""
         return func(*args, *args2)
-    return curried_func
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源代码
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
-    """
-        曲线方程。
-        Args:
-            x_func: x函数
-            y_func: y函数
-            z_func: z函数
-        """
-    self.x_func = x_func
-    self.y_func = y_func
-    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
说明: 计算曲线上的点。
参数:
  • *t:
  • 参数:
源代码
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
-    """
-        计算曲线上的点。
-        Args:
-            *t:
-                参数
-        Returns:
-
-        """
-    if len(t) == 1:
-        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
-    else:
-        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
`,27),h=[t];function p(k,e,r,E,d,g){return a(),i("div",null,h)}const u=s(l,[["render",p]]);export{F as __pageData,u as default};
+    return curried_func
`,30),p=[l];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/en_api_mp_math_equation.md.0VnHCQQ4.lean.js b/assets/en_api_mp_math_equation.md.0VnHCQQ4.lean.js new file mode 100644 index 0000000..9967043 --- /dev/null +++ b/assets/en_api_mp_math_equation.md.0VnHCQQ4.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),t={name:"en/api/mp_math/equation.md"},l=n("",30),p=[l];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/en_api_mp_math_equation.md.BuG3Sd0K.lean.js b/assets/en_api_mp_math_equation.md.BuG3Sd0K.lean.js deleted file mode 100644 index 6d1c39b..0000000 --- a/assets/en_api_mp_math_equation.md.BuG3Sd0K.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),l={name:"en/api/mp_math/equation.md"},t=n("",27),h=[t];function p(k,e,r,E,d,g){return a(),i("div",null,h)}const F=s(l,[["render",p]]);export{u as __pageData,F as default}; diff --git a/assets/en_api_mp_math_function.md.BzQ8FTPC.js b/assets/en_api_mp_math_function.md.BzQ8FTPC.js new file mode 100644 index 0000000..c088319 --- /dev/null +++ b/assets/en_api_mp_math_function.md.BzQ8FTPC.js @@ -0,0 +1,17 @@ +import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function"},"headers":[],"relativePath":"en/api/mp_math/function.md","filePath":"en/api/mp_math/function.md"}'),n={name:"en/api/mp_math/function.md"},l=a('

mbcp.mp_math.function ​

Description: AAA

func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​

Description: 计算三元函数在某点的梯度向量。

',4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a('',1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a('',1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a(`

Arguments:

  • func: 三元函数
  • p: 点
  • epsilon: 偏移量

Return: 梯度

Source code
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    """
+    计算三元函数在某点的梯度向量。
+    > [!tip]
+    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
+    $\\\\nabla f(x_0, y_0, z_0) = \\\\left(\\\\frac{\\\\partial f}{\\\\partial x}, \\\\frac{\\\\partial f}{\\\\partial y}, \\\\frac{\\\\partial f}{\\\\partial z}\\\\right)$
+    Args:
+        func: 三元函数
+        p: 点
+        epsilon: 偏移量
+    Returns:
+        梯度
+    """
+    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
+    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
+    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
+    return Vector3(dx, dy, dz)
`,4);function C(L,H,M,Z,b,D){return Q(),s("div",null,[l,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(n,[["render",C]]);export{v as __pageData,V as default}; diff --git a/assets/en_api_mp_math_function.md.BzQ8FTPC.lean.js b/assets/en_api_mp_math_function.md.BzQ8FTPC.lean.js new file mode 100644 index 0000000..249d8a6 --- /dev/null +++ b/assets/en_api_mp_math_function.md.BzQ8FTPC.lean.js @@ -0,0 +1 @@ +import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function"},"headers":[],"relativePath":"en/api/mp_math/function.md","filePath":"en/api/mp_math/function.md"}'),n={name:"en/api/mp_math/function.md"},l=a("",4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a("",1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a("",1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a("",1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a("",4);function C(L,H,M,Z,b,D){return Q(),s("div",null,[l,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(n,[["render",C]]);export{v as __pageData,V as default}; diff --git a/assets/en_api_mp_math_index.md.DrjDUYBY.js b/assets/en_api_mp_math_index.md.DrjDUYBY.js deleted file mode 100644 index 42ab20b..0000000 --- a/assets/en_api_mp_math_index.md.DrjDUYBY.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"en/api/mp_math/index.md","filePath":"en/api/mp_math/index.md"}'),n={name:"en/api/mp_math/index.md"};function m(p,i,r,c,o,s){return a(),t("div")}const h=e(n,[["render",m]]);export{d as __pageData,h as default}; diff --git a/assets/en_api_mp_math_index.md.DrjDUYBY.lean.js b/assets/en_api_mp_math_index.md.DrjDUYBY.lean.js deleted file mode 100644 index 42ab20b..0000000 --- a/assets/en_api_mp_math_index.md.DrjDUYBY.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"en/api/mp_math/index.md","filePath":"en/api/mp_math/index.md"}'),n={name:"en/api/mp_math/index.md"};function m(p,i,r,c,o,s){return a(),t("div")}const h=e(n,[["render",m]]);export{d as __pageData,h as default}; diff --git a/assets/en_api_mp_math_index.md.Gx9tQ_Za.js b/assets/en_api_mp_math_index.md.Gx9tQ_Za.js new file mode 100644 index 0000000..8fce09b --- /dev/null +++ b/assets/en_api_mp_math_index.md.Gx9tQ_Za.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","collapsed":true},"headers":[],"relativePath":"en/api/mp_math/index.md","filePath":"en/api/mp_math/index.md"}'),c={name:"en/api/mp_math/index.md"},i=o('

mbcp.mp_math ​

Description: 本包定义了一些常用的导入，可直接从mbcp.mp_math导入使用 导入的类有：

  • AnyAngle：任意角
  • CurveEquation：曲线方程
  • Line3：三维直线
  • Plane3：三维平面
  • Point3：三维点
  • Segment3：三维线段
  • Vector3：三维向量
',3),m=[i];function n(d,p,_,l,r,s){return a(),t("div",null,m)}const b=e(c,[["render",n]]);export{u as __pageData,b as default}; diff --git a/assets/en_api_mp_math_index.md.Gx9tQ_Za.lean.js b/assets/en_api_mp_math_index.md.Gx9tQ_Za.lean.js new file mode 100644 index 0000000..e78dea1 --- /dev/null +++ b/assets/en_api_mp_math_index.md.Gx9tQ_Za.lean.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","collapsed":true},"headers":[],"relativePath":"en/api/mp_math/index.md","filePath":"en/api/mp_math/index.md"}'),c={name:"en/api/mp_math/index.md"},i=o("",3),m=[i];function n(d,p,_,l,r,s){return a(),t("div",null,m)}const b=e(c,[["render",n]]);export{u as __pageData,b as default}; diff --git a/assets/en_api_mp_math_line.md.BEvxdWYQ.js b/assets/en_api_mp_math_line.md.e8dK90h_.js similarity index 93% rename from assets/en_api_mp_math_line.md.BEvxdWYQ.js rename to assets/en_api_mp_math_line.md.e8dK90h_.js index 4003bd5..88be222 100644 --- a/assets/en_api_mp_math_line.md.BEvxdWYQ.js +++ b/assets/en_api_mp_math_line.md.e8dK90h_.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),t={name:"en/api/mp_math/line.md"},l=n(`

class Line3 ​

method __init__(self, point: Point3, direction: Vector3) ​

Description: 三维空间中的直线。由一个点和一个方向向量确定。

Arguments:

  • point: 直线上的一点
  • direction: 直线的方向向量
Source code
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),t={name:"en/api/mp_math/line.md"},l=n(`
mbcp.mp_math.line ​
Description: 本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
Description: 三维空间中的直线。由一个点和一个方向向量确定。
Arguments:
  • point: 直线上的一点
  • direction: 直线的方向向量
Source code
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:
@@ -6,7 +6,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
             direction: 直线的方向向量
         """
     self.point = point
-    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
Description: 判断两条直线是否近似相等。
Arguments:
  • other: 另一条直线
  • epsilon: 误差
Return: 是否近似相等
Source code
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
+    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
Description: 判断两条直线是否近似相等。
Arguments:
  • other: 另一条直线
  • epsilon: 误差
Return: 是否近似相等
Source code
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
     """
         判断两条直线是否近似相等。
         Args:
@@ -15,7 +15,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         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)
method cal_angle(self, other: Line3) -> AnyAngle ​
Description: 计算直线和直线之间的夹角。
Arguments:
  • other: 另一条直线
Return: 夹角弧度
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
+    return self.is_approx_parallel(other, epsilon) and (self.point - other.point).is_approx_parallel(self.direction, epsilon)
method cal_angle(self, other: Line3) -> AnyAngle ​
Description: 计算直线和直线之间的夹角。
Arguments:
  • other: 另一条直线
Return: 夹角弧度
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
     """
         计算直线和直线之间的夹角。
         Args:
@@ -25,7 +25,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Raises:
             TypeError: 不支持的类型
         """
-    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
Description: 计算直线和直线或点之间的距离。
Arguments:
  • other: 平行直线或点
Return: 距离
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
+    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
Description: 计算直线和直线或点之间的距离。
Arguments:
  • other: 平行直线或点
Return: 距离
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
     """
         计算直线和直线或点之间的距离。
         Args:
@@ -48,7 +48,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif isinstance(other, Point3):
         return (other - self.point).cross(self.direction).length / self.direction.length
     else:
-        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
Description: 计算两条直线的交点。
Arguments:
  • other: 另一条直线
Return: 交点
Raises:
  • ValueError 直线平行
  • ValueError 直线不共面
Source code
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
+        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
Description: 计算两条直线的交点。
Arguments:
  • other: 另一条直线
Return: 交点
Raises:
  • ValueError 直线平行
  • ValueError 直线不共面
Source code
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
     """
         计算两条直线的交点。
         Args:
@@ -63,7 +63,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         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
method cal_perpendicular(self, point: Point3) -> Line3 ​
Description: 计算直线经过指定点p的垂线。
Arguments:
  • point: 指定点
Return: 垂线
Source code
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
+    return self.point + self.direction.cross(other.direction) @ other.direction.cross(self.point - other.point) / self.direction.cross(other.direction).length ** 2 * self.direction
method cal_perpendicular(self, point: Point3) -> Line3 ​
Description: 计算直线经过指定点p的垂线。
Arguments:
  • point: 指定点
Return: 垂线
Source code
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
     """
         计算直线经过指定点p的垂线。
         Args:
@@ -71,7 +71,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             垂线
         """
-    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
Description: 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。
Arguments:
  • t: 参数t
Return: 点
Source code
python
def get_point(self, t: RealNumber) -> 'Point3':
+    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
Description: 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。
Arguments:
  • t: 参数t
Return: 点
Source code
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:
@@ -79,13 +79,13 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             点
         """
-    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
Description: 获取直线的参数方程。
Return: x(t), y(t), z(t)
Source code
python
def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:
+    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
Description: 获取直线的参数方程。
Return: x(t), y(t), z(t)
Source code
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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
Description: 判断两条直线是否近似平行。
Arguments:
  • other: 另一条直线
  • epsilon: 误差
Return: 是否近似平行
Source code
python
def is_approx_parallel(self, other: 'Line3', epsilon: float=1e-06) -> bool:
+    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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
Description: 判断两条直线是否近似平行。
Arguments:
  • other: 另一条直线
  • epsilon: 误差
Return: 是否近似平行
Source code
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:
@@ -94,7 +94,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否近似平行
         """
-    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
Description: 判断两条直线是否平行。
Arguments:
  • other: 另一条直线
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Line3') -> bool:
+    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
Description: 判断两条直线是否平行。
Arguments:
  • other: 另一条直线
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Line3') -> bool:
     """
         判断两条直线是否平行。
         Args:
@@ -102,7 +102,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否平行
         """
-    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
Description: 判断两条直线是否共线。
Arguments:
  • other: 另一条直线
Return: 是否共线
Source code
python
def is_collinear(self, other: 'Line3') -> bool:
+    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
Description: 判断两条直线是否共线。
Arguments:
  • other: 另一条直线
Return: 是否共线
Source code
python
def is_collinear(self, other: 'Line3') -> bool:
     """
         判断两条直线是否共线。
         Args:
@@ -110,7 +110,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否共线
         """
-    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
Description: 判断点是否在直线上。
Arguments:
  • point: 点
Return: 是否在直线上
Source code
python
def is_point_on(self, point: 'Point3') -> bool:
+    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
Description: 判断点是否在直线上。
Arguments:
  • point: 点
Return: 是否在直线上
Source code
python
def is_point_on(self, point: 'Point3') -> bool:
     """
         判断点是否在直线上。
         Args:
@@ -118,7 +118,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否在直线上
         """
-    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
Description: 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。
Arguments:
  • other: 另一条直线
Return: 是否共面
Source code
python
def is_coplanar(self, other: 'Line3') -> bool:
+    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
Description: 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。
Arguments:
  • other: 另一条直线
Return: 是否共面
Source code
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。
@@ -127,7 +127,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否共面
         """
-    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
Description: 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
Source code
python
def simplify(self):
+    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
Description: 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
Source code
python
def simplify(self):
     """
         简化直线方程，等价相等。
         自体简化，不返回值。
@@ -140,7 +140,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     if self.direction.y == 0:
         self.point.y = 0
     if self.direction.z == 0:
-        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
Description: 工厂函数 由两点构造直线。
Arguments:
  • p1: 点1
  • p2: 点2
Return: 直线
Source code
python
@classmethod
+        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
Description: 工厂函数 由两点构造直线。
Arguments:
  • p1: 点1
  • p2: 点2
Return: 直线
Source code
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     """
         工厂函数 由两点构造直线。
@@ -151,7 +151,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
             直线
         """
     direction = p2 - p1
-    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
Description: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
Arguments:
  • other: 另一条直线
Return: 交点
Source code
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
Description: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
Arguments:
  • other: 另一条直线
Return: 交点
Source code
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     """
         计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
         Args:
@@ -164,7 +164,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif self.is_parallel(other) or not self.is_coplanar(other):
         return None
     else:
-        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
Description: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
Arguments:
  • other:
Source code
python
def __eq__(self, other) -> bool:
+        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
Description: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
Arguments:
  • other:
Source code
python
def __eq__(self, other) -> bool:
     """
         判断两条直线是否等价。
 
@@ -175,4 +175,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
`,105),e=[l];function h(p,k,r,o,d,g){return a(),i("div",null,e)}const c=s(t,[["render",h]]);export{E as __pageData,c as default};
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
`,107),e=[l];function h(p,k,r,o,d,g){return a(),i("div",null,e)}const c=s(t,[["render",h]]);export{E as __pageData,c as default}; diff --git a/assets/en_api_mp_math_line.md.BEvxdWYQ.lean.js b/assets/en_api_mp_math_line.md.e8dK90h_.lean.js similarity index 56% rename from assets/en_api_mp_math_line.md.BEvxdWYQ.lean.js rename to assets/en_api_mp_math_line.md.e8dK90h_.lean.js index 7e81d3b..f99fb6a 100644 --- a/assets/en_api_mp_math_line.md.BEvxdWYQ.lean.js +++ b/assets/en_api_mp_math_line.md.e8dK90h_.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),t={name:"en/api/mp_math/line.md"},l=n("",105),e=[l];function h(p,k,r,o,d,g){return a(),i("div",null,e)}const c=s(t,[["render",h]]);export{E as __pageData,c as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),t={name:"en/api/mp_math/line.md"},l=n("",107),e=[l];function h(p,k,r,o,d,g){return a(),i("div",null,e)}const c=s(t,[["render",h]]);export{E as __pageData,c as default}; diff --git a/assets/en_api_mp_math_mp_math_typing.md.CyXXFdS4.js b/assets/en_api_mp_math_mp_math_typing.md.CyXXFdS4.js deleted file mode 100644 index e2c985d..0000000 --- a/assets/en_api_mp_math_mp_math_typing.md.CyXXFdS4.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as r,c as a,o as e,a2 as l}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"en/api/mp_math/mp_math_typing.md","filePath":"en/api/mp_math/mp_math_typing.md"}'),n={name:"en/api/mp_math/mp_math_typing.md"},o=l('

var RealNumber = int | float ​

  • Type: TypeAlias

  • Description: 实数

var Number = RealNumber | complex ​

  • Type: TypeAlias

  • Description: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • Description: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • Description: 数组变量

var Var = SingleVar | ArrayVar ​

  • Type: TypeAlias

  • Description: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • Type: TypeAlias

  • Description: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • Type: TypeAlias

  • Description: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • Type: TypeAlias

  • Description: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • Type: TypeAlias

  • Description: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • Type: TypeAlias

  • Description: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • Type: TypeAlias

  • Description: 多元函数

',34),i=[o];function t(s,c,u,g,p,v){return e(),a("div",null,i)}const h=r(n,[["render",t]]);export{y as __pageData,h as default}; diff --git a/assets/en_api_mp_math_mp_math_typing.md.CyXXFdS4.lean.js b/assets/en_api_mp_math_mp_math_typing.md.CyXXFdS4.lean.js deleted file mode 100644 index ff586e8..0000000 --- a/assets/en_api_mp_math_mp_math_typing.md.CyXXFdS4.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as r,c as a,o as e,a2 as l}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"en/api/mp_math/mp_math_typing.md","filePath":"en/api/mp_math/mp_math_typing.md"}'),n={name:"en/api/mp_math/mp_math_typing.md"},o=l("",34),i=[o];function t(s,c,u,g,p,v){return e(),a("div",null,i)}const h=r(n,[["render",t]]);export{y as __pageData,h as default}; diff --git a/assets/en_api_mp_math_mp_math_typing.md.DByFpCMm.js b/assets/en_api_mp_math_mp_math_typing.md.DByFpCMm.js new file mode 100644 index 0000000..3a10baf --- /dev/null +++ b/assets/en_api_mp_math_mp_math_typing.md.DByFpCMm.js @@ -0,0 +1 @@ +import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.C94oF1kp.js";const h=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"en/api/mp_math/mp_math_typing.md","filePath":"en/api/mp_math/mp_math_typing.md"}'),n={name:"en/api/mp_math/mp_math_typing.md"},i=l('

mbcp.mp_math.mp_math_typing ​

Description: 本模块用于内部类型提示

var RealNumber = int | float ​

  • Type: TypeAlias

  • Description: 实数

var Number = RealNumber | complex ​

  • Type: TypeAlias

  • Description: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • Description: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • Description: 数组变量

var Var = SingleVar | ArrayVar ​

  • Type: TypeAlias

  • Description: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • Type: TypeAlias

  • Description: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • Type: TypeAlias

  • Description: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • Type: TypeAlias

  • Description: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • Type: TypeAlias

  • Description: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • Type: TypeAlias

  • Description: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • Type: TypeAlias

  • Description: 多元函数

',36),o=[i];function c(t,s,u,d,p,g){return e(),r("div",null,o)}const y=a(n,[["render",c]]);export{h as __pageData,y as default}; diff --git a/assets/en_api_mp_math_mp_math_typing.md.DByFpCMm.lean.js b/assets/en_api_mp_math_mp_math_typing.md.DByFpCMm.lean.js new file mode 100644 index 0000000..6be5dc4 --- /dev/null +++ b/assets/en_api_mp_math_mp_math_typing.md.DByFpCMm.lean.js @@ -0,0 +1 @@ +import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.C94oF1kp.js";const h=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"en/api/mp_math/mp_math_typing.md","filePath":"en/api/mp_math/mp_math_typing.md"}'),n={name:"en/api/mp_math/mp_math_typing.md"},i=l("",36),o=[i];function c(t,s,u,d,p,g){return e(),r("div",null,o)}const y=a(n,[["render",c]]);export{h as __pageData,y as default}; diff --git a/assets/en_api_mp_math_plane.md.DUu9P3nM.lean.js b/assets/en_api_mp_math_plane.md.DUu9P3nM.lean.js deleted file mode 100644 index 6043c0a..0000000 --- a/assets/en_api_mp_math_plane.md.DUu9P3nM.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"en/api/mp_math/plane.md","filePath":"en/api/mp_math/plane.md"}'),l={name:"en/api/mp_math/plane.md"},h=n("",103),t=[h];function p(e,k,r,d,o,E){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/en_api_mp_math_plane.md.DUu9P3nM.js b/assets/en_api_mp_math_plane.md.DYLAU1Re.js similarity index 93% rename from assets/en_api_mp_math_plane.md.DUu9P3nM.js rename to assets/en_api_mp_math_plane.md.DYLAU1Re.js index 16d8458..57c7c75 100644 --- a/assets/en_api_mp_math_plane.md.DUu9P3nM.js +++ b/assets/en_api_mp_math_plane.md.DYLAU1Re.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"en/api/mp_math/plane.md","filePath":"en/api/mp_math/plane.md"}'),l={name:"en/api/mp_math/plane.md"},h=n(`

class Plane3 ​

method __init__(self, a: float, b: float, c: float, d: float) ​

Description: 平面方程：ax + by + cz + d = 0

Arguments:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
Source code
python
def __init__(self, a: float, b: float, c: float, d: float):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"en/api/mp_math/plane.md","filePath":"en/api/mp_math/plane.md"}'),l={name:"en/api/mp_math/plane.md"},t=n(`
mbcp.mp_math.plane ​
Description: 本模块定义了三维空间中的平面类
class Plane3 ​
method __init__(self, a: float, b: float, c: float, d: float) ​
Description: 平面方程：ax + by + cz + d = 0
Arguments:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
Source code
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -10,7 +10,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     self.a = a
     self.b = b
     self.c = c
-    self.d = d
method approx(self, other: Plane3) -> bool ​
Description: 判断两个平面是否近似相等。
Arguments:
  • other: 另一个平面
Return: 是否近似相等
Source code
python
def approx(self, other: 'Plane3') -> bool:
+    self.d = d
method approx(self, other: Plane3) -> bool ​
Description: 判断两个平面是否近似相等。
Arguments:
  • other: 另一个平面
Return: 是否近似相等
Source code
python
def approx(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否近似相等。
         Args:
@@ -28,7 +28,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
Description: 计算平面与平面之间的夹角。
Arguments:
  • other: 另一个平面
Return: 夹角弧度
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
+        return False
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
Description: 计算平面与平面之间的夹角。
Arguments:
  • other: 另一个平面
Return: 夹角弧度
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     """
         计算平面与平面之间的夹角。
         Args:
@@ -43,7 +43,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
Description: 计算平面与平面或点之间的距离。
Arguments:
  • other: 另一个平面或点
Return: 距离
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
Description: 计算平面与平面或点之间的距离。
Arguments:
  • other: 另一个平面或点
Return: 距离
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
     """
         计算平面与平面或点之间的距离。
         Args:
@@ -58,7 +58,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
Description: 计算两平面的交线。
Arguments:
  • other: 另一个平面
Return: 两平面的交线
Source code
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
Description: 计算两平面的交线。
Arguments:
  • other: 另一个平面
Return: 两平面的交线
Source code
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     """
         计算两平面的交线。
         Args:
@@ -83,7 +83,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
Description: 计算平面与直线的交点。
Arguments:
  • other: 不与平面平行或在平面上的直线
Return: 交点
Raises:
  • ValueError 平面与直线平行或重合
Source code
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
+    return Line3(Point3(x, y, z), direction)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
Description: 计算平面与直线的交点。
Arguments:
  • other: 不与平面平行或在平面上的直线
Return: 交点
Raises:
  • ValueError 平面与直线平行或重合
Source code
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
     """
         计算平面与直线的交点。
         Args:
@@ -97,7 +97,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
Description: 计算平行于该平面且过指定点的平面。
Arguments:
  • point: 指定点
Return: 所求平面
Source code
python
def cal_parallel_plane3(self, point: 'Point3') -> 'Plane3':
+    return Point3(x(t), y(t), z(t))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
Description: 计算平行于该平面且过指定点的平面。
Arguments:
  • point: 指定点
Return: 所求平面
Source code
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:
@@ -105,7 +105,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             所求平面
         """
-    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
Description: 判断两个平面是否平行。
Arguments:
  • other: 另一个平面
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Plane3') -> bool:
+    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
Description: 判断两个平面是否平行。
Arguments:
  • other: 另一个平面
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否平行。
         Args:
@@ -113,14 +113,14 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             是否平行
         """
-    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
Description: 平面的法向量。
Return: 法向量
Source code
python
@property
+    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
Description: 平面的法向量。
Return: 法向量
Source code
python
@property
 def normal(self) -> 'Vector3':
     """
         平面的法向量。
         Returns:
             法向量
         """
-    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
Description: 工厂函数 由点和法向量构造平面(点法式构造)。
Arguments:
  • point: 平面上的一点
  • normal: 法向量
Return: 平面
Source code
python
@classmethod
+    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
Description: 工厂函数 由点和法向量构造平面(点法式构造)。
Arguments:
  • point: 平面上的一点
  • normal: 法向量
Return: 平面
Source code
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)。
@@ -132,7 +132,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         """
     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)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
Description: 工厂函数 由三点构造平面。
Arguments:
  • p1: 点1
  • p2: 点2
  • p3: 点3
Return: 平面
Source code
python
@classmethod
+    return cls(a, b, c, d)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
Description: 工厂函数 由三点构造平面。
Arguments:
  • p1: 点1
  • p2: 点2
  • p3: 点3
Return: 平面
Source code
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。
@@ -146,7 +146,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     v1 = p2 - p1
     v2 = p3 - p1
     normal = v1.cross(v2)
-    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
Description: 工厂函数 由两直线构造平面。
Arguments:
  • l1: 直线1
  • l2: 直线2
Return: 平面
Source code
python
@classmethod
+    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
Description: 工厂函数 由两直线构造平面。
Arguments:
  • l1: 直线1
  • l2: 直线2
Return: 平面
Source code
python
@classmethod
 def from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3':
     """
         工厂函数 由两直线构造平面。
@@ -160,7 +160,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
Description: 工厂函数 由点和直线构造平面。
Arguments:
  • point: 面上一点
  • line: 面上直线，不包含点
Return: 平面
Source code
python
@classmethod
+    return cls.from_point_and_normal(l1.point, v1.cross(v2))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
Description: 工厂函数 由点和直线构造平面。
Arguments:
  • point: 面上一点
  • line: 面上直线，不包含点
Return: 平面
Source code
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。
@@ -170,11 +170,11 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             平面
         """
-    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
Source code
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
Source code
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
Source code
python
@overload
+    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
Source code
python
@overload
 def __and__(self, other: 'Plane3') -> 'Line3 | None':
-    ...
method __and__(self, other) ​
Description: 取两平面的交集（人话：交线）
Arguments:
  • other:
Return: 不平行平面的交线，平面平行返回None
Source code
python
def __and__(self, other):
+    ...
method __and__(self, other) ​
Description: 取两平面的交集（人话：交线）
Arguments:
  • other:
Return: 不平行平面的交线，平面平行返回None
Source code
python
def __and__(self, other):
     """
         取两平面的交集（人话：交线）
         Args:
@@ -191,6 +191,6 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
             return None
         return self.cal_intersection_point3(other)
     else:
-        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
Source code
python
def __eq__(self, other) -> bool:
-    return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
Source code
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
`,103),t=[h];function p(e,k,r,d,o,E){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default};
+        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

Source code
python
def __eq__(self, other) -> bool:
+    return self.approx(other)

method __rand__(self, other: Line3) -> Point3 ​

Source code
python
def __rand__(self, other: 'Line3') -> 'Point3':
+    return self.cal_intersection_point3(other)
`,105),h=[t];function p(e,k,r,d,o,E){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/en_api_mp_math_plane.md.DYLAU1Re.lean.js b/assets/en_api_mp_math_plane.md.DYLAU1Re.lean.js new file mode 100644 index 0000000..05541b4 --- /dev/null +++ b/assets/en_api_mp_math_plane.md.DYLAU1Re.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"en/api/mp_math/plane.md","filePath":"en/api/mp_math/plane.md"}'),l={name:"en/api/mp_math/plane.md"},t=n("",105),h=[t];function p(e,k,r,d,o,E){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/en_api_mp_math_point.md.DMig0FI1.lean.js b/assets/en_api_mp_math_point.md.DMig0FI1.lean.js deleted file mode 100644 index f995429..0000000 --- a/assets/en_api_mp_math_point.md.DMig0FI1.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},l=t("",34),h=[l];function e(p,k,o,r,d,E){return a(),i("div",null,h)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/en_api_mp_math_point.md.DMig0FI1.js b/assets/en_api_mp_math_point.md.DYCVxK7m.js similarity index 84% rename from assets/en_api_mp_math_point.md.DMig0FI1.js rename to assets/en_api_mp_math_point.md.DYCVxK7m.js index 534c390..a487e6c 100644 --- a/assets/en_api_mp_math_point.md.DMig0FI1.js +++ b/assets/en_api_mp_math_point.md.DYCVxK7m.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},l=t(`

class Point3 ​

method __init__(self, x: float, y: float, z: float) ​

Description: 笛卡尔坐标系中的点。

Arguments:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
Source code
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const c=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},h=t(`
mbcp.mp_math.point ​
Description: 本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 笛卡尔坐标系中的点。
Arguments:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
Source code
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -8,7 +8,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
Description: 判断两个点是否近似相等。
Arguments:
  • other:
  • epsilon:
Return: 是否近似相等
Source code
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
Description: 判断两个点是否近似相等。
Arguments:
  • other:
  • epsilon:
Return: 是否近似相等
Source code
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
     """
         判断两个点是否近似相等。
         Args:
@@ -18,11 +18,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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])
@overload ​
method self + other: Vector3 => Point3 ​
Source code
python
@overload
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
@overload ​
method self + other: Vector3 => Point3 ​
Source code
python
@overload
 def __add__(self, other: 'Vector3') -> 'Point3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
Source code
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
Source code
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
Description: P + V -> P P + P -> P
Arguments:
  • other:
Source code
python
def __add__(self, other):
+    ...
method self + other ​
Description: P + V -> P P + P -> P
Arguments:
  • other:
Source code
python
def __add__(self, other):
     """
         P + V -> P
         P + P -> P
@@ -30,14 +30,14 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
             other:
         Returns:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
Description: 判断两个点是否相等。
Arguments:
  • other:
Source code
python
def __eq__(self, other):
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
Description: 判断两个点是否相等。
Arguments:
  • other:
Source code
python
def __eq__(self, other):
     """
         判断两个点是否相等。
         Args:
             other:
         Returns:
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
Description: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
Arguments:
  • other:
Source code
python
def __sub__(self, other: 'Point3') -> 'Vector3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
Description: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
Arguments:
  • other:
Source code
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     """
         P - P -> V
 
@@ -48,4 +48,4 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,34),h=[l];function e(p,k,o,r,d,E){return a(),i("div",null,h)}const F=s(n,[["render",e]]);export{y as __pageData,F as default};
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,36),l=[h];function e(p,k,o,r,d,E){return a(),i("div",null,l)}const y=s(n,[["render",e]]);export{c as __pageData,y as default}; diff --git a/assets/en_api_mp_math_point.md.DYCVxK7m.lean.js b/assets/en_api_mp_math_point.md.DYCVxK7m.lean.js new file mode 100644 index 0000000..932220b --- /dev/null +++ b/assets/en_api_mp_math_point.md.DYCVxK7m.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const c=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},h=t("",36),l=[h];function e(p,k,o,r,d,E){return a(),i("div",null,l)}const y=s(n,[["render",e]]);export{c as __pageData,y as default}; diff --git a/assets/en_api_mp_math_segment.md.CcaokAF8.js b/assets/en_api_mp_math_segment.md.CUQLS_qv.js similarity index 70% rename from assets/en_api_mp_math_segment.md.CcaokAF8.js rename to assets/en_api_mp_math_segment.md.CUQLS_qv.js index 9a9610c..2cbc331 100644 --- a/assets/en_api_mp_math_segment.md.CcaokAF8.js +++ b/assets/en_api_mp_math_segment.md.CUQLS_qv.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},h=n(`

class Segment3 ​

method __init__(self, p1: Point3, p2: Point3) ​

Description: 三维空间中的线段。 :param p1: :param p2:

Source code
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},h=n(`
mbcp.mp_math.segment ​
Description: 本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
Description: 三维空间中的线段。 :param p1: :param p2:
Source code
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -11,4 +11,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o
     '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)
`,4),p=[h];function l(k,e,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{o as __pageData,y as default};
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,6),p=[h];function e(l,k,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",e]]);export{F as __pageData,y as default}; diff --git a/assets/en_api_mp_math_segment.md.CUQLS_qv.lean.js b/assets/en_api_mp_math_segment.md.CUQLS_qv.lean.js new file mode 100644 index 0000000..3159f59 --- /dev/null +++ b/assets/en_api_mp_math_segment.md.CUQLS_qv.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},h=n("",6),p=[h];function e(l,k,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",e]]);export{F as __pageData,y as default}; diff --git a/assets/en_api_mp_math_segment.md.CcaokAF8.lean.js b/assets/en_api_mp_math_segment.md.CcaokAF8.lean.js deleted file mode 100644 index 31daebf..0000000 --- a/assets/en_api_mp_math_segment.md.CcaokAF8.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},h=n("",4),p=[h];function l(k,e,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{o as __pageData,y as default}; diff --git a/assets/en_api_mp_math_utils.md.DZohqw2b.js b/assets/en_api_mp_math_utils.md.B4NFHkPz.js similarity index 65% rename from assets/en_api_mp_math_utils.md.DZohqw2b.js rename to assets/en_api_mp_math_utils.md.B4NFHkPz.js index 01cddac..26fde5b 100644 --- a/assets/en_api_mp_math_utils.md.DZohqw2b.js +++ b/assets/en_api_mp_math_utils.md.B4NFHkPz.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),t={name:"en/api/mp_math/utils.md"},l=n(`

func clamp() -> float ​

Description: 区间限定函数

Arguments:

  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值

Return: 限制后的值

Source code
python
def clamp(x: float, min_: float, max_: float) -> float:
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),t={name:"en/api/mp_math/utils.md"},l=n(`
mbcp.mp_math.utils ​
Description: 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: 待限定的值
  • min_: 最小值
  • max_: 最大值
Return: 限制后的值
Source code
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -9,7 +9,20 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     Returns:
         限制后的值
     """
-    return max(min(x, max_), min_)
func approx(x: float = 0.0, y: 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: 数1
  • y: 数2
  • epsilon: 误差
Return: 是否近似相等
Source code
python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
+    return max(min(x, max_), min_)
class Approx ​
method __init__(self, value: RealNumber) ​
Source code
python
def __init__(self, value: RealNumber):
+    self.value = value
method __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)
method 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)}')
method __ne__(self, other) ​
Source code
python
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: 数1
  • y: 数2
  • epsilon: 误差
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:
@@ -19,7 +32,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     Returns:
         是否近似相等
     """
-    return abs(x - y) < epsilon
func sign(x: float = False) -> str ​
Description: 获取数的符号。
Arguments:
  • 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:
+    return abs(x - y) < epsilon
func sign(x: float, only_neg: bool = False) -> str ​
Description: 获取数的符号。
Arguments:
  • 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
@@ -32,7 +45,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif x < 0:
         return '-'
     else:
-        return ''
func sign_format(x: float = False) -> str ​
Description: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
Arguments:
  • 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:
+        return ''
func sign_format(x: float, only_neg: bool = False) -> str ​
Description: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
Arguments:
  • 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
@@ -48,17 +61,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
class Approx ​
method __init__(self, value: RealNumber) ​
Source code
python
def __init__(self, value: RealNumber):
-    self.value = value
method __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)
method 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)}')
method __ne__(self, other) ​
Source code
python
def __ne__(self, other):
-    return not self.__eq__(other)
`,33),h=[l];function p(e,k,r,d,o,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default};
+        return ''
`,35),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/en_api_mp_math_utils.md.DZohqw2b.lean.js b/assets/en_api_mp_math_utils.md.B4NFHkPz.lean.js similarity index 57% rename from assets/en_api_mp_math_utils.md.DZohqw2b.lean.js rename to assets/en_api_mp_math_utils.md.B4NFHkPz.lean.js index f7f1f3a..7d0c625 100644 --- a/assets/en_api_mp_math_utils.md.DZohqw2b.lean.js +++ b/assets/en_api_mp_math_utils.md.B4NFHkPz.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),t={name:"en/api/mp_math/utils.md"},l=n("",33),h=[l];function p(e,k,r,d,o,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),t={name:"en/api/mp_math/utils.md"},l=n("",35),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/en_api_mp_math_vector.md.Sd_IZsgE.js b/assets/en_api_mp_math_vector.md.BJF5J3QY.js similarity index 90% rename from assets/en_api_mp_math_vector.md.Sd_IZsgE.js rename to assets/en_api_mp_math_vector.md.BJF5J3QY.js index 26709e7..548c77f 100644 --- a/assets/en_api_mp_math_vector.md.Sd_IZsgE.js +++ b/assets/en_api_mp_math_vector.md.BJF5J3QY.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"en/api/mp_math/vector.md","filePath":"en/api/mp_math/vector.md"}'),n={name:"en/api/mp_math/vector.md"},h=t(`

class Vector3 ​

method __init__(self, x: float, y: float, z: float) ​

Description: 3维向量

Arguments:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
Source code
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"en/api/mp_math/vector.md","filePath":"en/api/mp_math/vector.md"}'),n={name:"en/api/mp_math/vector.md"},h=t(`
mbcp.mp_math.vector ​
Description: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 3维向量
Arguments:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
Source code
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -8,7 +8,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
Description: 判断两个向量是否近似相等。
Arguments:
  • other:
  • epsilon:
Return: 是否近似相等
Source code
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
Description: 判断两个向量是否近似相等。
Arguments:
  • other:
  • epsilon:
Return: 是否近似相等
Source code
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
     """
         判断两个向量是否近似相等。
         Args:
@@ -18,7 +18,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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])
method cal_angle(self, other: Vector3) -> AnyAngle ​
Description: 计算两个向量之间的夹角。
Arguments:
  • other: 另一个向量
Return: 夹角
Source code
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
method cal_angle(self, other: Vector3) -> AnyAngle ​
Description: 计算两个向量之间的夹角。
Arguments:
  • other: 另一个向量
Return: 夹角
Source code
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
     """
         计算两个向量之间的夹角。
         Args:
@@ -26,7 +26,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             夹角
         """
-    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
Description: 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。
Arguments:
  • other:
Return: 行列式的结果
Source code
python
def cross(self, other: 'Vector3') -> 'Vector3':
+    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
Description: 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。
Arguments:
  • other:
Return: 行列式的结果
Source code
python
def cross(self, other: 'Vector3') -> 'Vector3':
     """
         向量积 叉乘：v1 cross v2 -> v3
 
@@ -46,7 +46,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
Description: 判断两个向量是否近似平行。
Arguments:
  • other: 另一个向量
  • epsilon: 允许的误差
Return: 是否近似平行
Source code
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
Description: 判断两个向量是否近似平行。
Arguments:
  • other: 另一个向量
  • epsilon: 允许的误差
Return: 是否近似平行
Source code
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:
@@ -55,7 +55,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否近似平行
         """
-    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
Description: 判断两个向量是否平行。
Arguments:
  • other: 另一个向量
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Vector3') -> bool:
+    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
Description: 判断两个向量是否平行。
Arguments:
  • other: 另一个向量
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Vector3') -> bool:
     """
         判断两个向量是否平行。
         Args:
@@ -63,7 +63,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否平行
         """
-    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
Description: 将向量归一化。
自体归一化，不返回值。
Source code
python
def normalize(self):
+    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
Description: 将向量归一化。
自体归一化，不返回值。
Source code
python
def normalize(self):
     """
         将向量归一化。
 
@@ -72,32 +72,32 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     length = self.length
     self.x /= length
     self.y /= length
-    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
Source code
python
@property
+    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
Source code
python
@property
 def np_array(self) -> 'np.ndarray':
     """
         返回numpy数组
         Returns:
         """
-    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
Description: 向量的模。
Return: 模
Source code
python
@property
+    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
Description: 向量的模。
Return: 模
Source code
python
@property
 def length(self) -> float:
     """
         向量的模。
         Returns:
             模
         """
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
Description: 获取该向量的单位向量。
Return: 单位向量
Source code
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
Description: 获取该向量的单位向量。
Return: 单位向量
Source code
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
method __abs__(self) ​
Source code
python
def __abs__(self):
-    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
Source code
python
@overload
+    return self / self.length
method __abs__(self) ​
Source code
python
def __abs__(self):
+    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
Source code
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
Source code
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
Source code
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
Description: V + P -> P
V + V -> V
Arguments:
  • other:
Source code
python
def __add__(self, other):
+    ...
method self + other ​
Description: V + P -> P
V + V -> V
Arguments:
  • other:
Source code
python
def __add__(self, other):
     """
         V + P -> P
 
@@ -112,7 +112,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
Description: 判断两个向量是否相等。
Arguments:
  • other:
Return: 是否相等
Source code
python
def __eq__(self, other):
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
Description: 判断两个向量是否相等。
Arguments:
  • other:
Return: 是否相等
Source code
python
def __eq__(self, other):
     """
         判断两个向量是否相等。
         Args:
@@ -120,7 +120,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否相等
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
Description: P + V -> P
别去点那边实现了。 :param other: :return:
Source code
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
Description: P + V -> P
别去点那边实现了。 :param other: :return:
Source code
python
def __radd__(self, other: 'Point3') -> 'Point3':
     """
         P + V -> P
 
@@ -128,11 +128,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         :param other:
         :return:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
Source code
python
@overload
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
Source code
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self - other: Point3 => Point3 ​
Source code
python
@overload
+    ...
@overload ​
method self - other: Point3 => Point3 ​
Source code
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...
method self - other ​
Description: V - P -> P
V - V -> V
Arguments:
  • other:
Source code
python
def __sub__(self, other):
+    ...
method self - other ​
Description: V - P -> P
V - V -> V
Arguments:
  • other:
Source code
python
def __sub__(self, other):
     """
         V - P -> P
 
@@ -146,7 +146,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
Description: P - V -> P
Arguments:
  • other:
Source code
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
Description: P - V -> P
Arguments:
  • other:
Source code
python
def __rsub__(self, other: 'Point3'):
     """
         P - V -> P
         Args:
@@ -157,11 +157,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
Source code
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
Source code
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self * other: RealNumber => Vector3 ​
Source code
python
@overload
+    ...
@overload ​
method self * other: RealNumber => Vector3 ​
Source code
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...
method self * other: int | float | Vector3 => Vector3 ​
Description: 数组运算 非点乘。点乘使用@，叉乘使用cross。
Arguments:
  • other:
Source code
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...
method self * other: int | float | Vector3 => Vector3 ​
Description: 数组运算 非点乘。点乘使用@，叉乘使用cross。
Arguments:
  • other:
Source code
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     """
         数组运算 非点乘。点乘使用@，叉乘使用cross。
         Args:
@@ -174,14 +174,14 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
Source code
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
Description: 点乘。
Arguments:
  • other:
Source code
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
Source code
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
Description: 点乘。
Arguments:
  • other:
Source code
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
     """
         点乘。
         Args:
             other:
         Returns:
         """
-    return self.x * other.x + self.y * other.y + self.z * other.z
method self / other: RealNumber => Vector3 ​
Source code
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
-    return Vector3(self.x / other, self.y / other, self.z / other)
method - self ​
Source code
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • Type: Vector3
  • Description: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • Type: Vector3
  • Description: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • Type: Vector3
  • Description: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • Type: Vector3
  • Description: z轴单位向量
`,125),e=[h];function l(p,k,r,o,d,g){return a(),i("div",null,e)}const F=s(n,[["render",l]]);export{y as __pageData,F as default};
+    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

Source code
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
+    return Vector3(self.x / other, self.y / other, self.z / other)

method - self ​

Source code
python
def __neg__(self):
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • Type: Vector3

  • Description: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • Type: Vector3

  • Description: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • Type: Vector3

  • Description: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • Type: Vector3

  • Description: z轴单位向量

`,127),e=[h];function l(p,k,r,o,d,g){return a(),i("div",null,e)}const c=s(n,[["render",l]]);export{y as __pageData,c as default}; diff --git a/assets/en_api_mp_math_vector.md.BJF5J3QY.lean.js b/assets/en_api_mp_math_vector.md.BJF5J3QY.lean.js new file mode 100644 index 0000000..5db5c89 --- /dev/null +++ b/assets/en_api_mp_math_vector.md.BJF5J3QY.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"en/api/mp_math/vector.md","filePath":"en/api/mp_math/vector.md"}'),n={name:"en/api/mp_math/vector.md"},h=t("",127),e=[h];function l(p,k,r,o,d,g){return a(),i("div",null,e)}const c=s(n,[["render",l]]);export{y as __pageData,c as default}; diff --git a/assets/en_api_mp_math_vector.md.Sd_IZsgE.lean.js b/assets/en_api_mp_math_vector.md.Sd_IZsgE.lean.js deleted file mode 100644 index 6e6f85e..0000000 --- a/assets/en_api_mp_math_vector.md.Sd_IZsgE.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"en/api/mp_math/vector.md","filePath":"en/api/mp_math/vector.md"}'),n={name:"en/api/mp_math/vector.md"},h=t("",125),e=[h];function l(p,k,r,o,d,g){return a(),i("div",null,e)}const F=s(n,[["render",l]]);export{y as __pageData,F as default}; diff --git a/assets/en_api_particle_index.md.CmC1QX5o.js b/assets/en_api_particle_index.md.CmC1QX5o.js deleted file mode 100644 index 94f89ef..0000000 --- a/assets/en_api_particle_index.md.CmC1QX5o.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"en/api/particle/index.md","filePath":"en/api/particle/index.md"}'),i={name:"en/api/particle/index.md"};function r(c,n,p,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default}; diff --git a/assets/en_api_particle_index.md.CmC1QX5o.lean.js b/assets/en_api_particle_index.md.CmC1QX5o.lean.js deleted file mode 100644 index 94f89ef..0000000 --- a/assets/en_api_particle_index.md.CmC1QX5o.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"en/api/particle/index.md","filePath":"en/api/particle/index.md"}'),i={name:"en/api/particle/index.md"};function r(c,n,p,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default}; diff --git a/assets/en_api_particle_index.md.f-q0HsfK.js b/assets/en_api_particle_index.md.f-q0HsfK.js new file mode 100644 index 0000000..4374b9a --- /dev/null +++ b/assets/en_api_particle_index.md.f-q0HsfK.js @@ -0,0 +1 @@ +import{_ as a,c,o as r,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","collapsed":true},"headers":[],"relativePath":"en/api/particle/index.md","filePath":"en/api/particle/index.md"}'),i={name:"en/api/particle/index.md"},n=e("h1",{id:"mbcp-particle",tabindex:"-1"},[t("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),p=e("p",null,[e("strong",null,"Description"),t(": 本模块定义了粒子生成相关的工具")],-1),o=[n,p];function s(l,d,_,m,h,f){return r(),c("div",null,o)}const u=a(i,[["render",s]]);export{b as __pageData,u as default}; diff --git a/assets/en_api_particle_index.md.f-q0HsfK.lean.js b/assets/en_api_particle_index.md.f-q0HsfK.lean.js new file mode 100644 index 0000000..4374b9a --- /dev/null +++ b/assets/en_api_particle_index.md.f-q0HsfK.lean.js @@ -0,0 +1 @@ +import{_ as a,c,o as r,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","collapsed":true},"headers":[],"relativePath":"en/api/particle/index.md","filePath":"en/api/particle/index.md"}'),i={name:"en/api/particle/index.md"},n=e("h1",{id:"mbcp-particle",tabindex:"-1"},[t("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),p=e("p",null,[e("strong",null,"Description"),t(": 本模块定义了粒子生成相关的工具")],-1),o=[n,p];function s(l,d,_,m,h,f){return r(),c("div",null,o)}const u=a(i,[["render",s]]);export{b as __pageData,u as default}; diff --git a/assets/en_api_presets_index.md.CAyxYhKI.js b/assets/en_api_presets_index.md.CAyxYhKI.js new file mode 100644 index 0000000..5e329e3 --- /dev/null +++ b/assets/en_api_presets_index.md.CAyxYhKI.js @@ -0,0 +1 @@ +import{_ as s,c as o,o as r,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","collapsed":true},"headers":[],"relativePath":"en/api/presets/index.md","filePath":"en/api/presets/index.md"}'),a={name:"en/api/presets/index.md"},n=e("h1",{id:"mbcp-presets",tabindex:"-1"},[t("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),i=e("p",null,[e("strong",null,"Description"),t(": Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved")],-1),p=e("p",null,[t("@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : "),e("a",{href:"mailto:snowykami@outlook.com",target:"_blank",rel:"noreferrer"},"snowykami@outlook.com"),t(" @File : "),e("strong",null,"init"),t(".py @Software: PyCharm")],-1),c=[n,i,p];function l(d,m,_,h,u,f){return r(),o("div",null,c)}const x=s(a,[["render",l]]);export{b as __pageData,x as default}; diff --git a/assets/en_api_presets_index.md.CAyxYhKI.lean.js b/assets/en_api_presets_index.md.CAyxYhKI.lean.js new file mode 100644 index 0000000..5e329e3 --- /dev/null +++ b/assets/en_api_presets_index.md.CAyxYhKI.lean.js @@ -0,0 +1 @@ +import{_ as s,c as o,o as r,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","collapsed":true},"headers":[],"relativePath":"en/api/presets/index.md","filePath":"en/api/presets/index.md"}'),a={name:"en/api/presets/index.md"},n=e("h1",{id:"mbcp-presets",tabindex:"-1"},[t("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),i=e("p",null,[e("strong",null,"Description"),t(": Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved")],-1),p=e("p",null,[t("@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : "),e("a",{href:"mailto:snowykami@outlook.com",target:"_blank",rel:"noreferrer"},"snowykami@outlook.com"),t(" @File : "),e("strong",null,"init"),t(".py @Software: PyCharm")],-1),c=[n,i,p];function l(d,m,_,h,u,f){return r(),o("div",null,c)}const x=s(a,[["render",l]]);export{b as __pageData,x as default}; diff --git a/assets/en_api_presets_index.md.CZ5hl_7D.js b/assets/en_api_presets_index.md.CZ5hl_7D.js deleted file mode 100644 index 920047e..0000000 --- a/assets/en_api_presets_index.md.CZ5hl_7D.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as s}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"en/api/presets/index.md","filePath":"en/api/presets/index.md"}'),a={name:"en/api/presets/index.md"};function r(n,p,i,c,o,d){return s(),t("div")}const f=e(a,[["render",r]]);export{_ as __pageData,f as default}; diff --git a/assets/en_api_presets_index.md.CZ5hl_7D.lean.js b/assets/en_api_presets_index.md.CZ5hl_7D.lean.js deleted file mode 100644 index 920047e..0000000 --- a/assets/en_api_presets_index.md.CZ5hl_7D.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as s}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"en/api/presets/index.md","filePath":"en/api/presets/index.md"}'),a={name:"en/api/presets/index.md"};function r(n,p,i,c,o,d){return s(),t("div")}const f=e(a,[["render",r]]);export{_ as __pageData,f as default}; diff --git a/assets/en_api_presets_model_index.md.Cs8vON2C.lean.js b/assets/en_api_presets_model_index.md.Cs8vON2C.lean.js deleted file mode 100644 index dcdc11c..0000000 --- a/assets/en_api_presets_model_index.md.Cs8vON2C.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"en/api/presets/model/index.md","filePath":"en/api/presets/model/index.md"}'),t={name:"en/api/presets/model/index.md"},h=n("",8),l=[h];function k(p,e,r,d,E,g){return a(),i("div",null,l)}const F=s(t,[["render",k]]);export{y as __pageData,F as default}; diff --git a/assets/zht_api_presets_model_index.md.SQ5PPdaL.js b/assets/en_api_presets_model_index.md.DypEdCdE.js similarity index 76% rename from assets/zht_api_presets_model_index.md.SQ5PPdaL.js rename to assets/en_api_presets_model_index.md.DypEdCdE.js index dfc5749..3203498 100644 --- a/assets/zht_api_presets_model_index.md.SQ5PPdaL.js +++ b/assets/en_api_presets_model_index.md.DypEdCdE.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"zht/api/presets/model/index.md","filePath":"zht/api/presets/model/index.md"}'),t={name:"zht/api/presets/model/index.md"},h=n(`

class GeometricModels ​

@staticmethod ​

method sphere(radius: float, density: float) ​

説明: 生成球体上的点集。

變數説明:

  • radius:
  • density:

返回: List[Point3]: 球体上的点集。

源碼
python
@staticmethod
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","collapsed":true},"headers":[],"relativePath":"en/api/presets/model/index.md","filePath":"en/api/presets/model/index.md"}'),t={name:"en/api/presets/model/index.md"},h=n(`
mbcp.presets.model ​
Description: 几何模型点集
class GeometricModels ​
@staticmethod ​
method sphere(radius: float, density: float) ​
Description: 生成球体上的点集。
Arguments:
  • radius:
  • density:
Return: List[Point3]: 球体上的点集。
Source code
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -15,4 +15,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o
     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)]
`,8),l=[h];function k(p,e,r,d,E,g){return a(),i("div",null,l)}const F=s(t,[["render",k]]);export{o as __pageData,F as default};
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
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diff --git a/assets/ja_api_index.md.4BnflFIm.js b/assets/ja_api_index.md.4BnflFIm.js deleted file mode 100644 index 2f8ab8e..0000000 --- a/assets/ja_api_index.md.4BnflFIm.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"ja/api/index.md","filePath":"ja/api/index.md"}'),n={name:"ja/api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default}; diff --git a/assets/ja_api_index.md.4BnflFIm.lean.js b/assets/ja_api_index.md.4BnflFIm.lean.js deleted file mode 100644 index 2f8ab8e..0000000 --- a/assets/ja_api_index.md.4BnflFIm.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"ja/api/index.md","filePath":"ja/api/index.md"}'),n={name:"ja/api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default}; diff --git a/assets/ja_api_index.md.DW7hb-YH.js b/assets/ja_api_index.md.DW7hb-YH.js new file mode 100644 index 0000000..723a176 --- /dev/null +++ b/assets/ja_api_index.md.DW7hb-YH.js @@ -0,0 +1 @@ +import{_ as t,c,o as n,j as e,a}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","collapsed":true},"headers":[],"relativePath":"ja/api/index.md","filePath":"ja/api/index.md"}'),o={name:"ja/api/index.md"},s=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"説明"),a(": 本模块塞了一些预设的粒子生成器")],-1),i=[s,r];function d(p,l,_,m,h,f){return n(),c("div",null,i)}const u=t(o,[["render",d]]);export{b as __pageData,u as default}; diff --git a/assets/ja_api_index.md.DW7hb-YH.lean.js b/assets/ja_api_index.md.DW7hb-YH.lean.js new file mode 100644 index 0000000..723a176 --- /dev/null +++ b/assets/ja_api_index.md.DW7hb-YH.lean.js @@ -0,0 +1 @@ +import{_ as t,c,o as n,j as e,a}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","collapsed":true},"headers":[],"relativePath":"ja/api/index.md","filePath":"ja/api/index.md"}'),o={name:"ja/api/index.md"},s=e("h1",{id:"mbcp",tabindex:"-1"},[a("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"説明"),a(": 本模块塞了一些预设的粒子生成器")],-1),i=[s,r];function d(p,l,_,m,h,f){return n(),c("div",null,i)}const u=t(o,[["render",d]]);export{b as __pageData,u as default}; diff --git a/assets/ja_api_mp_math_angle.md.DL9J6RE2.js b/assets/ja_api_mp_math_angle.md.Cac0Crec.js similarity index 87% rename from assets/ja_api_mp_math_angle.md.DL9J6RE2.js rename to assets/ja_api_mp_math_angle.md.Cac0Crec.js index bc97db1..2896cad 100644 --- a/assets/ja_api_mp_math_angle.md.DL9J6RE2.js +++ b/assets/ja_api_mp_math_angle.md.Cac0Crec.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"ja/api/mp_math/angle.md","filePath":"ja/api/mp_math/angle.md"}'),t={name:"ja/api/mp_math/angle.md"},e=n(`

class Angle ​

class AnyAngle(Angle) ​

method __init__(self, value: float, is_radian: bool = False) ​

説明: 任意角度。

引数:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード
python
def __init__(self, value: float, is_radian: bool=False):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"ja/api/mp_math/angle.md","filePath":"ja/api/mp_math/angle.md"}'),t={name:"ja/api/mp_math/angle.md"},e=n(`
mbcp.mp_math.angle ​
説明: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
引数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -8,92 +8,92 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     if is_radian:
         self.radian = value
     else:
-        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
説明: 余角：两角的和为90°。
戻り値: 余角
ソースコード
python
@property
+        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
説明: 余角：两角的和为90°。
戻り値: 余角
ソースコード
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)
@property ​
method supplementary(self) -> AnyAngle ​
説明: 补角：两角的和为180°。
戻り値: 补角
ソースコード
python
@property
+    return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
@property ​
method supplementary(self) -> AnyAngle ​
説明: 补角：两角的和为180°。
戻り値: 补角
ソースコード
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)
@property ​
method degree(self) -> float ​
説明: 角度。
戻り値: 弧度
ソースコード
python
@property
+    return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
@property ​
method degree(self) -> float ​
説明: 角度。
戻り値: 弧度
ソースコード
python
@property
 def degree(self) -> float:
     """
         角度。
         Returns:
             弧度
         """
-    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
説明: 最小正角。
戻り値: 最小正角度
ソースコード
python
@property
+    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
説明: 最小正角。
戻り値: 最小正角度
ソースコード
python
@property
 def minimum_positive(self) -> 'AnyAngle':
     """
         最小正角。
         Returns:
             最小正角度
         """
-    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
説明: 最大负角。
戻り値: 最大负角度
ソースコード
python
@property
+    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
説明: 最大负角。
戻り値: 最大负角度
ソースコード
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)
@property ​
method sin(self) -> float ​
説明: 正弦值。
戻り値: 正弦值
ソースコード
python
@property
+    return AnyAngle(-self.radian % (2 * PI), is_radian=True)
@property ​
method sin(self) -> float ​
説明: 正弦值。
戻り値: 正弦值
ソースコード
python
@property
 def sin(self) -> float:
     """
         正弦值。
         Returns:
             正弦值
         """
-    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
説明: 余弦值。
戻り値: 余弦值
ソースコード
python
@property
+    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
説明: 余弦值。
戻り値: 余弦值
ソースコード
python
@property
 def cos(self) -> float:
     """
         余弦值。
         Returns:
             余弦值
         """
-    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
説明: 正切值。
戻り値: 正切值
ソースコード
python
@property
+    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
説明: 正切值。
戻り値: 正切值
ソースコード
python
@property
 def tan(self) -> float:
     """
         正切值。
         Returns:
             正切值
         """
-    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
説明: 余切值。
戻り値: 余切值
ソースコード
python
@property
+    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
説明: 余切值。
戻り値: 余切值
ソースコード
python
@property
 def cot(self) -> float:
     """
         余切值。
         Returns:
             余切值
         """
-    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
説明: 正割值。
戻り値: 正割值
ソースコード
python
@property
+    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
説明: 正割值。
戻り値: 正割值
ソースコード
python
@property
 def sec(self) -> float:
     """
         正割值。
         Returns:
             正割值
         """
-    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
説明: 余割值。
戻り値: 余割值
ソースコード
python
@property
+    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
説明: 余割值。
戻り値: 余割值
ソースコード
python
@property
 def csc(self) -> float:
     """
         余割值。
         Returns:
             余割值
         """
-    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
ソースコード
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
ソースコード
python
def __eq__(self, other):
-    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
ソースコード
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
ソースコード
python
def __mul__(self, other: float) -> 'AnyAngle':
-    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
ソースコード
python
@overload
+    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
ソースコード
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
ソースコード
python
def __eq__(self, other):
+    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
ソースコード
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
ソースコード
python
def __mul__(self, other: float) -> 'AnyAngle':
+    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
ソースコード
python
@overload
 def __truediv__(self, other: float) -> 'AnyAngle':
-    ...
@overload ​
method self / other: AnyAngle => float ​
ソースコード
python
@overload
+    ...
@overload ​
method self / other: AnyAngle => float ​
ソースコード
python
@overload
 def __truediv__(self, other: 'AnyAngle') -> float:
-    ...
method self / other ​
ソースコード
python
def __truediv__(self, other):
+    ...
method self / other ​
ソースコード
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)
`,78),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default};
+    return AnyAngle(self.radian / other, is_radian=True)
`,80),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default}; diff --git a/assets/ja_api_mp_math_angle.md.DL9J6RE2.lean.js b/assets/ja_api_mp_math_angle.md.Cac0Crec.lean.js similarity index 57% rename from assets/ja_api_mp_math_angle.md.DL9J6RE2.lean.js rename to assets/ja_api_mp_math_angle.md.Cac0Crec.lean.js index 0985b57..a464f33 100644 --- a/assets/ja_api_mp_math_angle.md.DL9J6RE2.lean.js +++ b/assets/ja_api_mp_math_angle.md.Cac0Crec.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"ja/api/mp_math/angle.md","filePath":"ja/api/mp_math/angle.md"}'),t={name:"ja/api/mp_math/angle.md"},e=n("",78),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"ja/api/mp_math/angle.md","filePath":"ja/api/mp_math/angle.md"}'),t={name:"ja/api/mp_math/angle.md"},e=n("",80),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default}; diff --git a/assets/ja_api_mp_math_const.md.ClLsNkM_.js b/assets/ja_api_mp_math_const.md.ClLsNkM_.js new file mode 100644 index 0000000..f0ddcc5 --- /dev/null +++ b/assets/ja_api_mp_math_const.md.ClLsNkM_.js @@ -0,0 +1 @@ +import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"ja/api/mp_math/const.md","filePath":"ja/api/mp_math/const.md"}'),r={name:"ja/api/mp_math/const.md"},c=o('

mbcp.mp_math.const ​

説明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 説明: 常量 π

var E = math.e ​

  • 説明: 自然对数的底 exp(1)

var GOLDEN_RATIO = (1 + math.sqrt(5)) / 2 ​

  • 説明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 説明: 欧拉常数

var EPSILON = 0.0001 ​

  • 説明: 精度误差

var APPROX = 0.001 ​

  • 説明: 约等于判定误差
',14),i=[c];function n(l,s,h,d,m,p){return e(),t("div",null,i)}const v=a(r,[["render",n]]);export{u as __pageData,v as default}; diff --git a/assets/ja_api_mp_math_const.md.ClLsNkM_.lean.js b/assets/ja_api_mp_math_const.md.ClLsNkM_.lean.js new file mode 100644 index 0000000..3c5cbf7 --- /dev/null +++ b/assets/ja_api_mp_math_const.md.ClLsNkM_.lean.js @@ -0,0 +1 @@ +import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"ja/api/mp_math/const.md","filePath":"ja/api/mp_math/const.md"}'),r={name:"ja/api/mp_math/const.md"},c=o("",14),i=[c];function n(l,s,h,d,m,p){return e(),t("div",null,i)}const v=a(r,[["render",n]]);export{u as __pageData,v as default}; diff --git a/assets/ja_api_mp_math_const.md.CyaIJkFx.js b/assets/ja_api_mp_math_const.md.CyaIJkFx.js deleted file mode 100644 index 9af4692..0000000 --- a/assets/ja_api_mp_math_const.md.CyaIJkFx.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"ja/api/mp_math/const.md","filePath":"ja/api/mp_math/const.md"}'),r={name:"ja/api/mp_math/const.md"},s=o('

var EPSILON = 0.0001 ​

  • 説明: ε

var APPROX = 0.001 ​

  • 説明: 约等于误差
',4),n=[s];function c(_,i,l,m,p,d){return e(),t("div",null,n)}const P=a(r,[["render",c]]);export{u as __pageData,P as default}; diff --git a/assets/ja_api_mp_math_const.md.CyaIJkFx.lean.js b/assets/ja_api_mp_math_const.md.CyaIJkFx.lean.js deleted file mode 100644 index 50ff41e..0000000 --- a/assets/ja_api_mp_math_const.md.CyaIJkFx.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"ja/api/mp_math/const.md","filePath":"ja/api/mp_math/const.md"}'),r={name:"ja/api/mp_math/const.md"},s=o("",4),n=[s];function c(_,i,l,m,p,d){return e(),t("div",null,n)}const P=a(r,[["render",c]]);export{u as __pageData,P as default}; diff --git a/assets/zht_api_mp_math_equation.md.CtFwMbbV.js b/assets/ja_api_mp_math_equation.md.8i-WXc7A.js similarity index 70% rename from assets/zht_api_mp_math_equation.md.CtFwMbbV.js rename to assets/ja_api_mp_math_equation.md.8i-WXc7A.js index 968d760..d73b6c3 100644 --- a/assets/zht_api_mp_math_equation.md.CtFwMbbV.js +++ b/assets/ja_api_mp_math_equation.md.8i-WXc7A.js @@ -1,4 +1,26 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),l={name:"zht/api/mp_math/equation.md"},t=n(`

func get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc ​

説明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。

WARNING

目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升

變數説明:

  • 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

返回: 偏导函数

抛出:

  • ValueError 无效变量类型
源碼
python
def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number=EPSILON) -> MultiVarsFunc:
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),l={name:"ja/api/mp_math/equation.md"},t=n(`
mbcp.mp_math.equation ​
説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
ソースコード
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    """
+        曲线方程。
+        Args:
+            x_func: x函数
+            y_func: y函数
+            z_func: z函数
+        """
+    self.x_func = x_func
+    self.y_func = y_func
+    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
説明: 计算曲线上的点。
引数:
  • *t:
  • 参数:
戻り値: 目标点
ソースコード
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
+    """
+        计算曲线上的点。
+        Args:
+            *t:
+                参数
+        Returns:
+            目标点
+        """
+    if len(t) == 1:
+        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
+    else:
+        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc ​
説明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。
WARNING
目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升
引数:
  • 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
戻り値: 偏导函数
例外:
  • ValueError 无效变量类型
ソースコード
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。
     > [!warning]
@@ -40,7 +62,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
func curry(*args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
變數説明:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源碼
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
+        raise ValueError('Invalid var type')
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
引数:
  • func: 函数
  • *args: 参数
戻り値: 柯里化后的函数
ソースコード
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
     """
     对多参数函数进行柯里化。
     > [!tip]
@@ -55,26 +77,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     def curried_func(*args2: Var) -> Var:
         """@litedoc-hide"""
         return func(*args, *args2)
-    return curried_func
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源碼
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
-    """
-        曲线方程。
-        Args:
-            x_func: x函数
-            y_func: y函数
-            z_func: z函数
-        """
-    self.x_func = x_func
-    self.y_func = y_func
-    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
説明: 计算曲线上的点。
變數説明:
  • *t:
  • 参数:
源碼
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
-    """
-        计算曲线上的点。
-        Args:
-            *t:
-                参数
-        Returns:
-
-        """
-    if len(t) == 1:
-        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
-    else:
-        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
`,27),h=[t];function p(k,e,r,E,d,g){return a(),i("div",null,h)}const u=s(l,[["render",p]]);export{F as __pageData,u as default};
+    return curried_func
`,30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/ja_api_mp_math_equation.md.8i-WXc7A.lean.js b/assets/ja_api_mp_math_equation.md.8i-WXc7A.lean.js new file mode 100644 index 0000000..c140908 --- /dev/null +++ b/assets/ja_api_mp_math_equation.md.8i-WXc7A.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),l={name:"ja/api/mp_math/equation.md"},t=n("",30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/ja_api_mp_math_equation.md.DvgEtgmw.lean.js b/assets/ja_api_mp_math_equation.md.DvgEtgmw.lean.js deleted file mode 100644 index b4603c7..0000000 --- a/assets/ja_api_mp_math_equation.md.DvgEtgmw.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),l={name:"ja/api/mp_math/equation.md"},t=n("",27),h=[t];function p(k,e,r,E,d,g){return a(),i("div",null,h)}const u=s(l,[["render",p]]);export{F as __pageData,u as default}; diff --git a/assets/ja_api_mp_math_function.md.GLsPZWha.js b/assets/ja_api_mp_math_function.md.GLsPZWha.js new file mode 100644 index 0000000..fda7939 --- /dev/null +++ b/assets/ja_api_mp_math_function.md.GLsPZWha.js @@ -0,0 +1,17 @@ +import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function"},"headers":[],"relativePath":"ja/api/mp_math/function.md","filePath":"ja/api/mp_math/function.md"}'),n={name:"ja/api/mp_math/function.md"},l=a('

mbcp.mp_math.function ​

説明: AAA

func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​

説明: 计算三元函数在某点的梯度向量。

',4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a('',1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a('',1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a(`

引数:

  • func: 三元函数
  • p: 点
  • epsilon: 偏移量

戻り値: 梯度

ソースコード
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    """
+    计算三元函数在某点的梯度向量。
+    > [!tip]
+    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
+    $\\\\nabla f(x_0, y_0, z_0) = \\\\left(\\\\frac{\\\\partial f}{\\\\partial x}, \\\\frac{\\\\partial f}{\\\\partial y}, \\\\frac{\\\\partial f}{\\\\partial z}\\\\right)$
+    Args:
+        func: 三元函数
+        p: 点
+        epsilon: 偏移量
+    Returns:
+        梯度
+    """
+    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
+    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
+    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
+    return Vector3(dx, dy, dz)
`,4);function C(L,H,M,Z,b,D){return Q(),s("div",null,[l,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(n,[["render",C]]);export{v as __pageData,V as default}; diff --git a/assets/ja_api_mp_math_function.md.GLsPZWha.lean.js b/assets/ja_api_mp_math_function.md.GLsPZWha.lean.js new file mode 100644 index 0000000..ac13516 --- /dev/null +++ b/assets/ja_api_mp_math_function.md.GLsPZWha.lean.js @@ -0,0 +1 @@ +import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function"},"headers":[],"relativePath":"ja/api/mp_math/function.md","filePath":"ja/api/mp_math/function.md"}'),n={name:"ja/api/mp_math/function.md"},l=a("",4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a("",1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a("",1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a("",1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a("",4);function C(L,H,M,Z,b,D){return Q(),s("div",null,[l,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(n,[["render",C]]);export{v as __pageData,V as default}; diff --git a/assets/ja_api_mp_math_index.md.BBAQ-AOT.js b/assets/ja_api_mp_math_index.md.BBAQ-AOT.js new file mode 100644 index 0000000..f2ad3b5 --- /dev/null +++ b/assets/ja_api_mp_math_index.md.BBAQ-AOT.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","collapsed":true},"headers":[],"relativePath":"ja/api/mp_math/index.md","filePath":"ja/api/mp_math/index.md"}'),c={name:"ja/api/mp_math/index.md"},i=o('

mbcp.mp_math ​

説明: 本包定义了一些常用的导入，可直接从mbcp.mp_math导入使用 导入的类有：

  • AnyAngle：任意角
  • CurveEquation：曲线方程
  • Line3：三维直线
  • Plane3：三维平面
  • Point3：三维点
  • Segment3：三维线段
  • Vector3：三维向量
',3),m=[i];function d(_,l,n,p,r,s){return a(),t("div",null,m)}const b=e(c,[["render",d]]);export{u as __pageData,b as default}; diff --git a/assets/ja_api_mp_math_index.md.BBAQ-AOT.lean.js b/assets/ja_api_mp_math_index.md.BBAQ-AOT.lean.js new file mode 100644 index 0000000..78f24b8 --- /dev/null +++ b/assets/ja_api_mp_math_index.md.BBAQ-AOT.lean.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","collapsed":true},"headers":[],"relativePath":"ja/api/mp_math/index.md","filePath":"ja/api/mp_math/index.md"}'),c={name:"ja/api/mp_math/index.md"},i=o("",3),m=[i];function d(_,l,n,p,r,s){return a(),t("div",null,m)}const b=e(c,[["render",d]]);export{u as __pageData,b as default}; diff --git a/assets/ja_api_mp_math_index.md.CSAMHYsB.js b/assets/ja_api_mp_math_index.md.CSAMHYsB.js deleted file mode 100644 index dfaa4b1..0000000 --- a/assets/ja_api_mp_math_index.md.CSAMHYsB.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as a,o as e}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"ja/api/mp_math/index.md","filePath":"ja/api/mp_math/index.md"}'),m={name:"ja/api/mp_math/index.md"};function p(n,i,r,c,o,s){return e(),a("div")}const h=t(m,[["render",p]]);export{d as __pageData,h as default}; diff --git a/assets/ja_api_mp_math_index.md.CSAMHYsB.lean.js b/assets/ja_api_mp_math_index.md.CSAMHYsB.lean.js deleted file mode 100644 index dfaa4b1..0000000 --- a/assets/ja_api_mp_math_index.md.CSAMHYsB.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as a,o as e}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"ja/api/mp_math/index.md","filePath":"ja/api/mp_math/index.md"}'),m={name:"ja/api/mp_math/index.md"};function p(n,i,r,c,o,s){return e(),a("div")}const h=t(m,[["render",p]]);export{d as __pageData,h as default}; diff --git a/assets/ja_api_mp_math_line.md.fj-_s5Ug.js b/assets/ja_api_mp_math_line.md.BwZJXqnL.js similarity index 93% rename from assets/ja_api_mp_math_line.md.fj-_s5Ug.js rename to assets/ja_api_mp_math_line.md.BwZJXqnL.js index 7694534..ba2bb95 100644 --- a/assets/ja_api_mp_math_line.md.fj-_s5Ug.js +++ b/assets/ja_api_mp_math_line.md.BwZJXqnL.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),t={name:"ja/api/mp_math/line.md"},l=n(`

class Line3 ​

method __init__(self, point: Point3, direction: Vector3) ​

説明: 三维空间中的直线。由一个点和一个方向向量确定。

引数:

  • point: 直线上的一点
  • direction: 直线的方向向量
ソースコード
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),t={name:"ja/api/mp_math/line.md"},l=n(`
mbcp.mp_math.line ​
説明: 本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
引数:
  • point: 直线上的一点
  • direction: 直线的方向向量
ソースコード
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:
@@ -6,7 +6,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
             direction: 直线的方向向量
         """
     self.point = point
-    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
説明: 判断两条直线是否近似相等。
引数:
  • other: 另一条直线
  • epsilon: 误差
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
+    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
説明: 判断两条直线是否近似相等。
引数:
  • other: 另一条直线
  • epsilon: 误差
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
     """
         判断两条直线是否近似相等。
         Args:
@@ -15,7 +15,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         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)
method cal_angle(self, other: Line3) -> AnyAngle ​
説明: 计算直线和直线之间的夹角。
引数:
  • other: 另一条直线
戻り値: 夹角弧度
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
+    return self.is_approx_parallel(other, epsilon) and (self.point - other.point).is_approx_parallel(self.direction, epsilon)
method cal_angle(self, other: Line3) -> AnyAngle ​
説明: 计算直线和直线之间的夹角。
引数:
  • other: 另一条直线
戻り値: 夹角弧度
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
     """
         计算直线和直线之间的夹角。
         Args:
@@ -25,7 +25,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Raises:
             TypeError: 不支持的类型
         """
-    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
説明: 计算直线和直线或点之间的距离。
引数:
  • other: 平行直线或点
戻り値: 距离
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
+    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
説明: 计算直线和直线或点之间的距离。
引数:
  • other: 平行直线或点
戻り値: 距离
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
     """
         计算直线和直线或点之间的距离。
         Args:
@@ -48,7 +48,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif isinstance(other, Point3):
         return (other - self.point).cross(self.direction).length / self.direction.length
     else:
-        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
説明: 计算两条直线的交点。
引数:
  • other: 另一条直线
戻り値: 交点
例外:
  • ValueError 直线平行
  • ValueError 直线不共面
ソースコード
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
+        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
説明: 计算两条直线的交点。
引数:
  • other: 另一条直线
戻り値: 交点
例外:
  • ValueError 直线平行
  • ValueError 直线不共面
ソースコード
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
     """
         计算两条直线的交点。
         Args:
@@ -63,7 +63,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         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
method cal_perpendicular(self, point: Point3) -> Line3 ​
説明: 计算直线经过指定点p的垂线。
引数:
  • point: 指定点
戻り値: 垂线
ソースコード
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
+    return self.point + self.direction.cross(other.direction) @ other.direction.cross(self.point - other.point) / self.direction.cross(other.direction).length ** 2 * self.direction
method cal_perpendicular(self, point: Point3) -> Line3 ​
説明: 计算直线经过指定点p的垂线。
引数:
  • point: 指定点
戻り値: 垂线
ソースコード
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
     """
         计算直线经过指定点p的垂线。
         Args:
@@ -71,7 +71,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             垂线
         """
-    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
説明: 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。
引数:
  • t: 参数t
戻り値: 点
ソースコード
python
def get_point(self, t: RealNumber) -> 'Point3':
+    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
説明: 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。
引数:
  • t: 参数t
戻り値: 点
ソースコード
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:
@@ -79,13 +79,13 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             点
         """
-    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
説明: 获取直线的参数方程。
戻り値: x(t), y(t), z(t)
ソースコード
python
def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:
+    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
説明: 获取直线的参数方程。
戻り値: x(t), y(t), z(t)
ソースコード
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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
説明: 判断两条直线是否近似平行。
引数:
  • other: 另一条直线
  • epsilon: 误差
戻り値: 是否近似平行
ソースコード
python
def is_approx_parallel(self, other: 'Line3', epsilon: float=1e-06) -> bool:
+    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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
説明: 判断两条直线是否近似平行。
引数:
  • other: 另一条直线
  • epsilon: 误差
戻り値: 是否近似平行
ソースコード
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:
@@ -94,7 +94,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否近似平行
         """
-    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
説明: 判断两条直线是否平行。
引数:
  • other: 另一条直线
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Line3') -> bool:
+    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
説明: 判断两条直线是否平行。
引数:
  • other: 另一条直线
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Line3') -> bool:
     """
         判断两条直线是否平行。
         Args:
@@ -102,7 +102,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否平行
         """
-    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
説明: 判断两条直线是否共线。
引数:
  • other: 另一条直线
戻り値: 是否共线
ソースコード
python
def is_collinear(self, other: 'Line3') -> bool:
+    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
説明: 判断两条直线是否共线。
引数:
  • other: 另一条直线
戻り値: 是否共线
ソースコード
python
def is_collinear(self, other: 'Line3') -> bool:
     """
         判断两条直线是否共线。
         Args:
@@ -110,7 +110,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否共线
         """
-    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
説明: 判断点是否在直线上。
引数:
  • point: 点
戻り値: 是否在直线上
ソースコード
python
def is_point_on(self, point: 'Point3') -> bool:
+    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
説明: 判断点是否在直线上。
引数:
  • point: 点
戻り値: 是否在直线上
ソースコード
python
def is_point_on(self, point: 'Point3') -> bool:
     """
         判断点是否在直线上。
         Args:
@@ -118,7 +118,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否在直线上
         """
-    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
説明: 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。
引数:
  • other: 另一条直线
戻り値: 是否共面
ソースコード
python
def is_coplanar(self, other: 'Line3') -> bool:
+    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
説明: 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。
引数:
  • other: 另一条直线
戻り値: 是否共面
ソースコード
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。
@@ -127,7 +127,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否共面
         """
-    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
説明: 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
ソースコード
python
def simplify(self):
+    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
説明: 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
ソースコード
python
def simplify(self):
     """
         简化直线方程，等价相等。
         自体简化，不返回值。
@@ -140,7 +140,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     if self.direction.y == 0:
         self.point.y = 0
     if self.direction.z == 0:
-        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
説明: 工厂函数 由两点构造直线。
引数:
  • p1: 点1
  • p2: 点2
戻り値: 直线
ソースコード
python
@classmethod
+        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
説明: 工厂函数 由两点构造直线。
引数:
  • p1: 点1
  • p2: 点2
戻り値: 直线
ソースコード
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     """
         工厂函数 由两点构造直线。
@@ -151,7 +151,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
             直线
         """
     direction = p2 - p1
-    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
説明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
引数:
  • other: 另一条直线
戻り値: 交点
ソースコード
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
説明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
引数:
  • other: 另一条直线
戻り値: 交点
ソースコード
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     """
         计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
         Args:
@@ -164,7 +164,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif self.is_parallel(other) or not self.is_coplanar(other):
         return None
     else:
-        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
説明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
引数:
  • other:
ソースコード
python
def __eq__(self, other) -> bool:
+        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
説明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
引数:
  • other:
ソースコード
python
def __eq__(self, other) -> bool:
     """
         判断两条直线是否等价。
 
@@ -175,4 +175,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
`,105),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default};
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
`,107),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_line.md.fj-_s5Ug.lean.js b/assets/ja_api_mp_math_line.md.BwZJXqnL.lean.js similarity index 56% rename from assets/ja_api_mp_math_line.md.fj-_s5Ug.lean.js rename to assets/ja_api_mp_math_line.md.BwZJXqnL.lean.js index f7adf8e..6bbd2a1 100644 --- a/assets/ja_api_mp_math_line.md.fj-_s5Ug.lean.js +++ b/assets/ja_api_mp_math_line.md.BwZJXqnL.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),t={name:"ja/api/mp_math/line.md"},l=n("",105),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),t={name:"ja/api/mp_math/line.md"},l=n("",107),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_mp_math_typing.md.Bl5kyhpI.js b/assets/ja_api_mp_math_mp_math_typing.md.Bl5kyhpI.js deleted file mode 100644 index d1e13d1..0000000 --- a/assets/ja_api_mp_math_mp_math_typing.md.Bl5kyhpI.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.BV61Qrc0.js";const p=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"ja/api/mp_math/mp_math_typing.md","filePath":"ja/api/mp_math/mp_math_typing.md"}'),n={name:"ja/api/mp_math/mp_math_typing.md"},o=l('

var RealNumber = int | float ​

  • タイプ: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • タイプ: TypeAlias

  • 説明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 説明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • タイプ: TypeAlias

  • 説明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • タイプ: TypeAlias

  • 説明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 多元函数

',34),i=[o];function t(s,c,u,g,v,d){return e(),r("div",null,i)}const m=a(n,[["render",t]]);export{p as __pageData,m as default}; diff --git a/assets/ja_api_mp_math_mp_math_typing.md.Bl5kyhpI.lean.js b/assets/ja_api_mp_math_mp_math_typing.md.Bl5kyhpI.lean.js deleted file mode 100644 index 3825ba5..0000000 --- a/assets/ja_api_mp_math_mp_math_typing.md.Bl5kyhpI.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.BV61Qrc0.js";const p=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"ja/api/mp_math/mp_math_typing.md","filePath":"ja/api/mp_math/mp_math_typing.md"}'),n={name:"ja/api/mp_math/mp_math_typing.md"},o=l("",34),i=[o];function t(s,c,u,g,v,d){return e(),r("div",null,i)}const m=a(n,[["render",t]]);export{p as __pageData,m as default}; diff --git a/assets/ja_api_mp_math_mp_math_typing.md.DHbmIzMT.js b/assets/ja_api_mp_math_mp_math_typing.md.DHbmIzMT.js new file mode 100644 index 0000000..db53e8b --- /dev/null +++ b/assets/ja_api_mp_math_mp_math_typing.md.DHbmIzMT.js @@ -0,0 +1 @@ +import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.C94oF1kp.js";const h=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"ja/api/mp_math/mp_math_typing.md","filePath":"ja/api/mp_math/mp_math_typing.md"}'),n={name:"ja/api/mp_math/mp_math_typing.md"},o=l('

mbcp.mp_math.mp_math_typing ​

説明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • タイプ: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • タイプ: TypeAlias

  • 説明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 説明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • タイプ: TypeAlias

  • 説明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • タイプ: TypeAlias

  • 説明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 多元函数

',36),i=[o];function c(t,s,u,d,g,v){return e(),r("div",null,i)}const y=a(n,[["render",c]]);export{h as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_mp_math_typing.md.DHbmIzMT.lean.js b/assets/ja_api_mp_math_mp_math_typing.md.DHbmIzMT.lean.js new file mode 100644 index 0000000..e0e58fd --- /dev/null +++ b/assets/ja_api_mp_math_mp_math_typing.md.DHbmIzMT.lean.js @@ -0,0 +1 @@ +import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.C94oF1kp.js";const h=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"ja/api/mp_math/mp_math_typing.md","filePath":"ja/api/mp_math/mp_math_typing.md"}'),n={name:"ja/api/mp_math/mp_math_typing.md"},o=l("",36),i=[o];function c(t,s,u,d,g,v){return e(),r("div",null,i)}const y=a(n,[["render",c]]);export{h as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_plane.md.yLekgCvK.js b/assets/ja_api_mp_math_plane.md.Ck5Q7igW.js similarity index 93% rename from assets/ja_api_mp_math_plane.md.yLekgCvK.js rename to assets/ja_api_mp_math_plane.md.Ck5Q7igW.js index 8f6ea20..316ca90 100644 --- a/assets/ja_api_mp_math_plane.md.yLekgCvK.js +++ b/assets/ja_api_mp_math_plane.md.Ck5Q7igW.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"ja/api/mp_math/plane.md","filePath":"ja/api/mp_math/plane.md"}'),l={name:"ja/api/mp_math/plane.md"},h=n(`

class Plane3 ​

method __init__(self, a: float, b: float, c: float, d: float) ​

説明: 平面方程：ax + by + cz + d = 0

引数:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
ソースコード
python
def __init__(self, a: float, b: float, c: float, d: float):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"ja/api/mp_math/plane.md","filePath":"ja/api/mp_math/plane.md"}'),l={name:"ja/api/mp_math/plane.md"},h=n(`
mbcp.mp_math.plane ​
説明: 本模块定义了三维空间中的平面类
class Plane3 ​
method __init__(self, a: float, b: float, c: float, d: float) ​
説明: 平面方程：ax + by + cz + d = 0
引数:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
ソースコード
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -10,7 +10,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     self.a = a
     self.b = b
     self.c = c
-    self.d = d
method approx(self, other: Plane3) -> bool ​
説明: 判断两个平面是否近似相等。
引数:
  • other: 另一个平面
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Plane3') -> bool:
+    self.d = d
method approx(self, other: Plane3) -> bool ​
説明: 判断两个平面是否近似相等。
引数:
  • other: 另一个平面
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否近似相等。
         Args:
@@ -28,7 +28,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
説明: 计算平面与平面之间的夹角。
引数:
  • other: 另一个平面
戻り値: 夹角弧度
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
+        return False
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
説明: 计算平面与平面之间的夹角。
引数:
  • other: 另一个平面
戻り値: 夹角弧度
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     """
         计算平面与平面之间的夹角。
         Args:
@@ -43,7 +43,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
説明: 计算平面与平面或点之间的距离。
引数:
  • other: 另一个平面或点
戻り値: 距离
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
説明: 计算平面与平面或点之间的距离。
引数:
  • other: 另一个平面或点
戻り値: 距离
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
     """
         计算平面与平面或点之间的距离。
         Args:
@@ -58,7 +58,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
説明: 计算两平面的交线。
引数:
  • other: 另一个平面
戻り値: 两平面的交线
ソースコード
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
説明: 计算两平面的交线。
引数:
  • other: 另一个平面
戻り値: 两平面的交线
ソースコード
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     """
         计算两平面的交线。
         Args:
@@ -83,7 +83,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
説明: 计算平面与直线的交点。
引数:
  • other: 不与平面平行或在平面上的直线
戻り値: 交点
例外:
  • ValueError 平面与直线平行或重合
ソースコード
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
+    return Line3(Point3(x, y, z), direction)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
説明: 计算平面与直线的交点。
引数:
  • other: 不与平面平行或在平面上的直线
戻り値: 交点
例外:
  • ValueError 平面与直线平行或重合
ソースコード
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
     """
         计算平面与直线的交点。
         Args:
@@ -97,7 +97,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
説明: 计算平行于该平面且过指定点的平面。
引数:
  • point: 指定点
戻り値: 所求平面
ソースコード
python
def cal_parallel_plane3(self, point: 'Point3') -> 'Plane3':
+    return Point3(x(t), y(t), z(t))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
説明: 计算平行于该平面且过指定点的平面。
引数:
  • point: 指定点
戻り値: 所求平面
ソースコード
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:
@@ -105,7 +105,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             所求平面
         """
-    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
説明: 判断两个平面是否平行。
引数:
  • other: 另一个平面
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Plane3') -> bool:
+    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
説明: 判断两个平面是否平行。
引数:
  • other: 另一个平面
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否平行。
         Args:
@@ -113,14 +113,14 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             是否平行
         """
-    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
説明: 平面的法向量。
戻り値: 法向量
ソースコード
python
@property
+    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
説明: 平面的法向量。
戻り値: 法向量
ソースコード
python
@property
 def normal(self) -> 'Vector3':
     """
         平面的法向量。
         Returns:
             法向量
         """
-    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
説明: 工厂函数 由点和法向量构造平面(点法式构造)。
引数:
  • point: 平面上的一点
  • normal: 法向量
戻り値: 平面
ソースコード
python
@classmethod
+    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
説明: 工厂函数 由点和法向量构造平面(点法式构造)。
引数:
  • point: 平面上的一点
  • normal: 法向量
戻り値: 平面
ソースコード
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)。
@@ -132,7 +132,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         """
     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)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
説明: 工厂函数 由三点构造平面。
引数:
  • p1: 点1
  • p2: 点2
  • p3: 点3
戻り値: 平面
ソースコード
python
@classmethod
+    return cls(a, b, c, d)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
説明: 工厂函数 由三点构造平面。
引数:
  • p1: 点1
  • p2: 点2
  • p3: 点3
戻り値: 平面
ソースコード
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。
@@ -146,7 +146,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     v1 = p2 - p1
     v2 = p3 - p1
     normal = v1.cross(v2)
-    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
説明: 工厂函数 由两直线构造平面。
引数:
  • l1: 直线1
  • l2: 直线2
戻り値: 平面
ソースコード
python
@classmethod
+    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
説明: 工厂函数 由两直线构造平面。
引数:
  • l1: 直线1
  • l2: 直线2
戻り値: 平面
ソースコード
python
@classmethod
 def from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3':
     """
         工厂函数 由两直线构造平面。
@@ -160,7 +160,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
説明: 工厂函数 由点和直线构造平面。
引数:
  • point: 面上一点
  • line: 面上直线，不包含点
戻り値: 平面
ソースコード
python
@classmethod
+    return cls.from_point_and_normal(l1.point, v1.cross(v2))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
説明: 工厂函数 由点和直线构造平面。
引数:
  • point: 面上一点
  • line: 面上直线，不包含点
戻り値: 平面
ソースコード
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。
@@ -170,11 +170,11 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             平面
         """
-    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
ソースコード
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
ソースコード
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
ソースコード
python
@overload
+    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
ソースコード
python
@overload
 def __and__(self, other: 'Plane3') -> 'Line3 | None':
-    ...
method __and__(self, other) ​
説明: 取两平面的交集（人话：交线）
引数:
  • other:
戻り値: 不平行平面的交线，平面平行返回None
ソースコード
python
def __and__(self, other):
+    ...
method __and__(self, other) ​
説明: 取两平面的交集（人话：交线）
引数:
  • other:
戻り値: 不平行平面的交线，平面平行返回None
ソースコード
python
def __and__(self, other):
     """
         取两平面的交集（人话：交线）
         Args:
@@ -191,6 +191,6 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
             return None
         return self.cal_intersection_point3(other)
     else:
-        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
ソースコード
python
def __eq__(self, other) -> bool:
-    return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
ソースコード
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
`,103),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default};
+        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

ソースコード
python
def __eq__(self, other) -> bool:
+    return self.approx(other)

method __rand__(self, other: Line3) -> Point3 ​

ソースコード
python
def __rand__(self, other: 'Line3') -> 'Point3':
+    return self.cal_intersection_point3(other)
`,105),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_plane.md.yLekgCvK.lean.js b/assets/ja_api_mp_math_plane.md.Ck5Q7igW.lean.js similarity index 57% rename from assets/ja_api_mp_math_plane.md.yLekgCvK.lean.js rename to assets/ja_api_mp_math_plane.md.Ck5Q7igW.lean.js index f33e85f..4956280 100644 --- a/assets/ja_api_mp_math_plane.md.yLekgCvK.lean.js +++ b/assets/ja_api_mp_math_plane.md.Ck5Q7igW.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"ja/api/mp_math/plane.md","filePath":"ja/api/mp_math/plane.md"}'),l={name:"ja/api/mp_math/plane.md"},h=n("",103),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"ja/api/mp_math/plane.md","filePath":"ja/api/mp_math/plane.md"}'),l={name:"ja/api/mp_math/plane.md"},h=n("",105),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_point.md.CpHHrSk8.js b/assets/ja_api_mp_math_point.md.CbFZXfAJ.js similarity index 84% rename from assets/ja_api_mp_math_point.md.CpHHrSk8.js rename to assets/ja_api_mp_math_point.md.CbFZXfAJ.js index 8348b94..1fcf4c6 100644 --- a/assets/ja_api_mp_math_point.md.CpHHrSk8.js +++ b/assets/ja_api_mp_math_point.md.CbFZXfAJ.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"ja/api/mp_math/point.md","filePath":"ja/api/mp_math/point.md"}'),n={name:"ja/api/mp_math/point.md"},l=t(`

class Point3 ​

method __init__(self, x: float, y: float, z: float) ​

説明: 笛卡尔坐标系中的点。

引数:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
ソースコード
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"ja/api/mp_math/point.md","filePath":"ja/api/mp_math/point.md"}'),n={name:"ja/api/mp_math/point.md"},h=t(`
mbcp.mp_math.point ​
説明: 本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
引数:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
ソースコード
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -8,7 +8,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
説明: 判断两个点是否近似相等。
引数:
  • other:
  • epsilon:
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
説明: 判断两个点是否近似相等。
引数:
  • other:
  • epsilon:
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
     """
         判断两个点是否近似相等。
         Args:
@@ -18,11 +18,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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])
@overload ​
method self + other: Vector3 => Point3 ​
ソースコード
python
@overload
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
@overload ​
method self + other: Vector3 => Point3 ​
ソースコード
python
@overload
 def __add__(self, other: 'Vector3') -> 'Point3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
ソースコード
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
ソースコード
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
説明: P + V -> P P + P -> P
引数:
  • other:
ソースコード
python
def __add__(self, other):
+    ...
method self + other ​
説明: P + V -> P P + P -> P
引数:
  • other:
ソースコード
python
def __add__(self, other):
     """
         P + V -> P
         P + P -> P
@@ -30,14 +30,14 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
             other:
         Returns:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
説明: 判断两个点是否相等。
引数:
  • other:
ソースコード
python
def __eq__(self, other):
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
説明: 判断两个点是否相等。
引数:
  • other:
ソースコード
python
def __eq__(self, other):
     """
         判断两个点是否相等。
         Args:
             other:
         Returns:
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
説明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
引数:
  • other:
ソースコード
python
def __sub__(self, other: 'Point3') -> 'Vector3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
説明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
引数:
  • other:
ソースコード
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     """
         P - P -> V
 
@@ -48,4 +48,4 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,34),h=[l];function e(p,k,o,r,d,E){return a(),i("div",null,h)}const F=s(n,[["render",e]]);export{y as __pageData,F as default};
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,36),l=[h];function e(p,k,o,r,d,E){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/ja_api_mp_math_point.md.CbFZXfAJ.lean.js b/assets/ja_api_mp_math_point.md.CbFZXfAJ.lean.js new file mode 100644 index 0000000..6a96b8b --- /dev/null +++ b/assets/ja_api_mp_math_point.md.CbFZXfAJ.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"ja/api/mp_math/point.md","filePath":"ja/api/mp_math/point.md"}'),n={name:"ja/api/mp_math/point.md"},h=t("",36),l=[h];function e(p,k,o,r,d,E){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/ja_api_mp_math_point.md.CpHHrSk8.lean.js b/assets/ja_api_mp_math_point.md.CpHHrSk8.lean.js deleted file mode 100644 index 735a512..0000000 --- a/assets/ja_api_mp_math_point.md.CpHHrSk8.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"ja/api/mp_math/point.md","filePath":"ja/api/mp_math/point.md"}'),n={name:"ja/api/mp_math/point.md"},l=t("",34),h=[l];function e(p,k,o,r,d,E){return a(),i("div",null,h)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/ja_api_mp_math_segment.md.CB1_z-rn.lean.js b/assets/ja_api_mp_math_segment.md.CB1_z-rn.lean.js deleted file mode 100644 index 72f6bf5..0000000 --- a/assets/ja_api_mp_math_segment.md.CB1_z-rn.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"ja/api/mp_math/segment.md","filePath":"ja/api/mp_math/segment.md"}'),t={name:"ja/api/mp_math/segment.md"},h=n("",4),p=[h];function l(k,e,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{o as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_segment.md.CB1_z-rn.js b/assets/ja_api_mp_math_segment.md.DbTMeZAn.js similarity index 70% rename from assets/ja_api_mp_math_segment.md.CB1_z-rn.js rename to assets/ja_api_mp_math_segment.md.DbTMeZAn.js index c807dfc..baa0841 100644 --- a/assets/ja_api_mp_math_segment.md.CB1_z-rn.js +++ b/assets/ja_api_mp_math_segment.md.DbTMeZAn.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"ja/api/mp_math/segment.md","filePath":"ja/api/mp_math/segment.md"}'),t={name:"ja/api/mp_math/segment.md"},h=n(`

class Segment3 ​

method __init__(self, p1: Point3, p2: Point3) ​

説明: 三维空间中的线段。 :param p1: :param p2:

ソースコード
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"ja/api/mp_math/segment.md","filePath":"ja/api/mp_math/segment.md"}'),t={name:"ja/api/mp_math/segment.md"},h=n(`
mbcp.mp_math.segment ​
説明: 本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。 :param p1: :param p2:
ソースコード
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -11,4 +11,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o
     '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)
`,4),p=[h];function l(k,e,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{o as __pageData,y as default};
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,6),p=[h];function l(e,k,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{F as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_segment.md.DbTMeZAn.lean.js b/assets/ja_api_mp_math_segment.md.DbTMeZAn.lean.js new file mode 100644 index 0000000..836de36 --- /dev/null +++ b/assets/ja_api_mp_math_segment.md.DbTMeZAn.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"ja/api/mp_math/segment.md","filePath":"ja/api/mp_math/segment.md"}'),t={name:"ja/api/mp_math/segment.md"},h=n("",6),p=[h];function l(e,k,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{F as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_utils.md.BrfEEfl-.lean.js b/assets/ja_api_mp_math_utils.md.BrfEEfl-.lean.js deleted file mode 100644 index b58e91e..0000000 --- a/assets/ja_api_mp_math_utils.md.BrfEEfl-.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"ja/api/mp_math/utils.md","filePath":"ja/api/mp_math/utils.md"}'),t={name:"ja/api/mp_math/utils.md"},l=n("",33),h=[l];function p(k,e,r,d,o,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_utils.md.BrfEEfl-.js b/assets/ja_api_mp_math_utils.md.D2dcQ_ET.js similarity index 67% rename from assets/ja_api_mp_math_utils.md.BrfEEfl-.js rename to assets/ja_api_mp_math_utils.md.D2dcQ_ET.js index 6ab1432..3818bba 100644 --- a/assets/ja_api_mp_math_utils.md.BrfEEfl-.js +++ b/assets/ja_api_mp_math_utils.md.D2dcQ_ET.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"ja/api/mp_math/utils.md","filePath":"ja/api/mp_math/utils.md"}'),t={name:"ja/api/mp_math/utils.md"},l=n(`

func clamp() -> float ​

説明: 区间限定函数

引数:

  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值

戻り値: 限制后的值

ソースコード
python
def clamp(x: float, min_: float, max_: float) -> float:
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"ja/api/mp_math/utils.md","filePath":"ja/api/mp_math/utils.md"}'),l={name:"ja/api/mp_math/utils.md"},t=n(`
mbcp.mp_math.utils ​
説明: 本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
引数:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
戻り値: 限制后的值
ソースコード
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -9,7 +9,20 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     Returns:
         限制后的值
     """
-    return max(min(x, max_), min_)
func approx(x: float = 0.0, y: float = APPROX) -> bool ​
説明: 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。
引数:
  • x: 数1
  • y: 数2
  • epsilon: 误差
戻り値: 是否近似相等
ソースコード
python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
+    return max(min(x, max_), min_)
class Approx ​
method __init__(self, value: RealNumber) ​
ソースコード
python
def __init__(self, value: RealNumber):
+    self.value = value
method __eq__(self, other) ​
ソースコード
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) ​
ソースコード
python
def raise_type_error(self, other):
+    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
ソースコード
python
def __ne__(self, other):
+    return not self.__eq__(other)
func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool ​
説明: 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。
引数:
  • x: 数1
  • y: 数2
  • epsilon: 误差
戻り値: 是否近似相等
ソースコード
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:
@@ -19,7 +32,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     Returns:
         是否近似相等
     """
-    return abs(x - y) < epsilon
func sign(x: float = False) -> str ​
説明: 获取数的符号。
引数:
  • x: 数
  • only_neg: 是否只返回负数的符号
戻り値: 符号 + - ""
ソースコード
python
def sign(x: float, only_neg: bool=False) -> str:
+    return abs(x - y) < epsilon
func sign(x: float, only_neg: bool = False) -> str ​
説明: 获取数的符号。
引数:
  • x: 数
  • only_neg: 是否只返回负数的符号
戻り値: 符号 + - ""
ソースコード
python
def sign(x: float, only_neg: bool=False) -> str:
     """获取数的符号。
     Args:
         x: 数
@@ -32,7 +45,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif x < 0:
         return '-'
     else:
-        return ''
func sign_format(x: float = False) -> str ​
説明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
引数:
  • x: 数
  • only_neg: 是否只返回负数的符号
戻り値: 符号 + - ""
ソースコード
python
def sign_format(x: float, only_neg: bool=False) -> str:
+        return ''
func sign_format(x: float, only_neg: bool = False) -> str ​
説明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
引数:
  • x: 数
  • only_neg: 是否只返回负数的符号
戻り値: 符号 + - ""
ソースコード
python
def sign_format(x: float, only_neg: bool=False) -> str:
     """格式化符号数
     -1 -> -1
     1 -> +1
@@ -48,17 +61,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
class Approx ​
method __init__(self, value: RealNumber) ​
ソースコード
python
def __init__(self, value: RealNumber):
-    self.value = value
method __eq__(self, other) ​
ソースコード
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) ​
ソースコード
python
def raise_type_error(self, other):
-    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
ソースコード
python
def __ne__(self, other):
-    return not self.__eq__(other)
`,33),h=[l];function p(k,e,r,d,o,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default};
+        return ''
`,35),h=[t];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_utils.md.D2dcQ_ET.lean.js b/assets/ja_api_mp_math_utils.md.D2dcQ_ET.lean.js new file mode 100644 index 0000000..07e14e6 --- /dev/null +++ b/assets/ja_api_mp_math_utils.md.D2dcQ_ET.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"ja/api/mp_math/utils.md","filePath":"ja/api/mp_math/utils.md"}'),l={name:"ja/api/mp_math/utils.md"},t=n("",35),h=[t];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(l,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/ja_api_mp_math_vector.md.p54TKACE.js b/assets/ja_api_mp_math_vector.md.DBPPUIlc.js similarity index 90% rename from assets/ja_api_mp_math_vector.md.p54TKACE.js rename to assets/ja_api_mp_math_vector.md.DBPPUIlc.js index 9e30d60..c78ed79 100644 --- a/assets/ja_api_mp_math_vector.md.p54TKACE.js +++ b/assets/ja_api_mp_math_vector.md.DBPPUIlc.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"ja/api/mp_math/vector.md","filePath":"ja/api/mp_math/vector.md"}'),n={name:"ja/api/mp_math/vector.md"},h=t(`

class Vector3 ​

method __init__(self, x: float, y: float, z: float) ​

説明: 3维向量

引数:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
ソースコード
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"ja/api/mp_math/vector.md","filePath":"ja/api/mp_math/vector.md"}'),n={name:"ja/api/mp_math/vector.md"},h=t(`
mbcp.mp_math.vector ​
説明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
引数:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
ソースコード
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -8,7 +8,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似相等。
引数:
  • other:
  • epsilon:
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似相等。
引数:
  • other:
  • epsilon:
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
     """
         判断两个向量是否近似相等。
         Args:
@@ -18,7 +18,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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])
method cal_angle(self, other: Vector3) -> AnyAngle ​
説明: 计算两个向量之间的夹角。
引数:
  • other: 另一个向量
戻り値: 夹角
ソースコード
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
method cal_angle(self, other: Vector3) -> AnyAngle ​
説明: 计算两个向量之间的夹角。
引数:
  • other: 另一个向量
戻り値: 夹角
ソースコード
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
     """
         计算两个向量之间的夹角。
         Args:
@@ -26,7 +26,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             夹角
         """
-    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
説明: 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。
引数:
  • other:
戻り値: 行列式的结果
ソースコード
python
def cross(self, other: 'Vector3') -> 'Vector3':
+    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
説明: 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。
引数:
  • other:
戻り値: 行列式的结果
ソースコード
python
def cross(self, other: 'Vector3') -> 'Vector3':
     """
         向量积 叉乘：v1 cross v2 -> v3
 
@@ -46,7 +46,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似平行。
引数:
  • other: 另一个向量
  • epsilon: 允许的误差
戻り値: 是否近似平行
ソースコード
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似平行。
引数:
  • other: 另一个向量
  • epsilon: 允许的误差
戻り値: 是否近似平行
ソースコード
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:
@@ -55,7 +55,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否近似平行
         """
-    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
説明: 判断两个向量是否平行。
引数:
  • other: 另一个向量
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Vector3') -> bool:
+    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
説明: 判断两个向量是否平行。
引数:
  • other: 另一个向量
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Vector3') -> bool:
     """
         判断两个向量是否平行。
         Args:
@@ -63,7 +63,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否平行
         """
-    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
説明: 将向量归一化。
自体归一化，不返回值。
ソースコード
python
def normalize(self):
+    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
説明: 将向量归一化。
自体归一化，不返回值。
ソースコード
python
def normalize(self):
     """
         将向量归一化。
 
@@ -72,32 +72,32 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     length = self.length
     self.x /= length
     self.y /= length
-    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
ソースコード
python
@property
+    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
ソースコード
python
@property
 def np_array(self) -> 'np.ndarray':
     """
         返回numpy数组
         Returns:
         """
-    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
説明: 向量的模。
戻り値: 模
ソースコード
python
@property
+    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
説明: 向量的模。
戻り値: 模
ソースコード
python
@property
 def length(self) -> float:
     """
         向量的模。
         Returns:
             模
         """
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
説明: 获取该向量的单位向量。
戻り値: 单位向量
ソースコード
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
説明: 获取该向量的单位向量。
戻り値: 单位向量
ソースコード
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
method __abs__(self) ​
ソースコード
python
def __abs__(self):
-    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
ソースコード
python
@overload
+    return self / self.length
method __abs__(self) ​
ソースコード
python
def __abs__(self):
+    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
ソースコード
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
ソースコード
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
ソースコード
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
説明: V + P -> P
V + V -> V
引数:
  • other:
ソースコード
python
def __add__(self, other):
+    ...
method self + other ​
説明: V + P -> P
V + V -> V
引数:
  • other:
ソースコード
python
def __add__(self, other):
     """
         V + P -> P
 
@@ -112,7 +112,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
説明: 判断两个向量是否相等。
引数:
  • other:
戻り値: 是否相等
ソースコード
python
def __eq__(self, other):
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
説明: 判断两个向量是否相等。
引数:
  • other:
戻り値: 是否相等
ソースコード
python
def __eq__(self, other):
     """
         判断两个向量是否相等。
         Args:
@@ -120,7 +120,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否相等
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
説明: P + V -> P
别去点那边实现了。 :param other: :return:
ソースコード
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
説明: P + V -> P
别去点那边实现了。 :param other: :return:
ソースコード
python
def __radd__(self, other: 'Point3') -> 'Point3':
     """
         P + V -> P
 
@@ -128,11 +128,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         :param other:
         :return:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
ソースコード
python
@overload
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
ソースコード
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self - other: Point3 => Point3 ​
ソースコード
python
@overload
+    ...
@overload ​
method self - other: Point3 => Point3 ​
ソースコード
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...
method self - other ​
説明: V - P -> P
V - V -> V
引数:
  • other:
ソースコード
python
def __sub__(self, other):
+    ...
method self - other ​
説明: V - P -> P
V - V -> V
引数:
  • other:
ソースコード
python
def __sub__(self, other):
     """
         V - P -> P
 
@@ -146,7 +146,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
説明: P - V -> P
引数:
  • other:
ソースコード
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
説明: P - V -> P
引数:
  • other:
ソースコード
python
def __rsub__(self, other: 'Point3'):
     """
         P - V -> P
         Args:
@@ -157,11 +157,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
ソースコード
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
ソースコード
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self * other: RealNumber => Vector3 ​
ソースコード
python
@overload
+    ...
@overload ​
method self * other: RealNumber => Vector3 ​
ソースコード
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...
method self * other: int | float | Vector3 => Vector3 ​
説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
引数:
  • other:
ソースコード
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...
method self * other: int | float | Vector3 => Vector3 ​
説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
引数:
  • other:
ソースコード
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     """
         数组运算 非点乘。点乘使用@，叉乘使用cross。
         Args:
@@ -174,14 +174,14 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
ソースコード
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
説明: 点乘。
引数:
  • other:
ソースコード
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
ソースコード
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
説明: 点乘。
引数:
  • other:
ソースコード
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
     """
         点乘。
         Args:
             other:
         Returns:
         """
-    return self.x * other.x + self.y * other.y + self.z * other.z
method self / other: RealNumber => Vector3 ​
ソースコード
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
-    return Vector3(self.x / other, self.y / other, self.z / other)
method - self ​
ソースコード
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • タイプ: Vector3
  • 説明: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • タイプ: Vector3
  • 説明: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • タイプ: Vector3
  • 説明: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • タイプ: Vector3
  • 説明: z轴单位向量
`,125),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default};
+    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

ソースコード
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
+    return Vector3(self.x / other, self.y / other, self.z / other)

method - self ​

ソースコード
python
def __neg__(self):
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • タイプ: Vector3

  • 説明: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • タイプ: Vector3

  • 説明: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • タイプ: Vector3

  • 説明: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • タイプ: Vector3

  • 説明: z轴单位向量

`,127),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/ja_api_mp_math_vector.md.p54TKACE.lean.js b/assets/ja_api_mp_math_vector.md.DBPPUIlc.lean.js similarity index 57% rename from assets/ja_api_mp_math_vector.md.p54TKACE.lean.js rename to assets/ja_api_mp_math_vector.md.DBPPUIlc.lean.js index 78815d4..ce21ff2 100644 --- a/assets/ja_api_mp_math_vector.md.p54TKACE.lean.js +++ b/assets/ja_api_mp_math_vector.md.DBPPUIlc.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"ja/api/mp_math/vector.md","filePath":"ja/api/mp_math/vector.md"}'),n={name:"ja/api/mp_math/vector.md"},h=t("",125),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; +import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"ja/api/mp_math/vector.md","filePath":"ja/api/mp_math/vector.md"}'),n={name:"ja/api/mp_math/vector.md"},h=t("",127),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/ja_api_particle_index.md.C9QFJ8EN.js b/assets/ja_api_particle_index.md.C9QFJ8EN.js new file mode 100644 index 0000000..3f75fc5 --- /dev/null +++ b/assets/ja_api_particle_index.md.C9QFJ8EN.js @@ -0,0 +1 @@ +import{_ as t,c,o as r,j as e,a}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","collapsed":true},"headers":[],"relativePath":"ja/api/particle/index.md","filePath":"ja/api/particle/index.md"}'),i={name:"ja/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[a("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),l=e("p",null,[e("strong",null,"説明"),a(": 本模块定义了粒子生成相关的工具")],-1),n=[p,l];function o(s,d,_,m,h,f){return r(),c("div",null,n)}const u=t(i,[["render",o]]);export{b as __pageData,u as default}; diff --git a/assets/ja_api_particle_index.md.C9QFJ8EN.lean.js b/assets/ja_api_particle_index.md.C9QFJ8EN.lean.js new file mode 100644 index 0000000..3f75fc5 --- /dev/null +++ b/assets/ja_api_particle_index.md.C9QFJ8EN.lean.js @@ -0,0 +1 @@ +import{_ as t,c,o as r,j as e,a}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","collapsed":true},"headers":[],"relativePath":"ja/api/particle/index.md","filePath":"ja/api/particle/index.md"}'),i={name:"ja/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[a("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),l=e("p",null,[e("strong",null,"説明"),a(": 本模块定义了粒子生成相关的工具")],-1),n=[p,l];function o(s,d,_,m,h,f){return r(),c("div",null,n)}const u=t(i,[["render",o]]);export{b as __pageData,u as default}; diff --git a/assets/ja_api_particle_index.md.E2YnH7EN.js b/assets/ja_api_particle_index.md.E2YnH7EN.js deleted file mode 100644 index e479d57..0000000 --- a/assets/ja_api_particle_index.md.E2YnH7EN.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"ja/api/particle/index.md","filePath":"ja/api/particle/index.md"}'),i={name:"ja/api/particle/index.md"};function r(c,p,n,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default}; diff --git a/assets/ja_api_particle_index.md.E2YnH7EN.lean.js b/assets/ja_api_particle_index.md.E2YnH7EN.lean.js deleted file mode 100644 index e479d57..0000000 --- a/assets/ja_api_particle_index.md.E2YnH7EN.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"ja/api/particle/index.md","filePath":"ja/api/particle/index.md"}'),i={name:"ja/api/particle/index.md"};function r(c,p,n,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default}; diff --git a/assets/ja_api_presets_index.md.ATGcHt9d.js b/assets/ja_api_presets_index.md.ATGcHt9d.js deleted file mode 100644 index ae5922f..0000000 --- a/assets/ja_api_presets_index.md.ATGcHt9d.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"ja/api/presets/index.md","filePath":"ja/api/presets/index.md"}'),s={name:"ja/api/presets/index.md"};function r(p,n,i,c,o,d){return a(),t("div")}const f=e(s,[["render",r]]);export{_ as __pageData,f as default}; diff --git a/assets/ja_api_presets_index.md.ATGcHt9d.lean.js b/assets/ja_api_presets_index.md.ATGcHt9d.lean.js deleted file mode 100644 index ae5922f..0000000 --- a/assets/ja_api_presets_index.md.ATGcHt9d.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"ja/api/presets/index.md","filePath":"ja/api/presets/index.md"}'),s={name:"ja/api/presets/index.md"};function r(p,n,i,c,o,d){return a(),t("div")}const f=e(s,[["render",r]]);export{_ as __pageData,f as default}; diff --git a/assets/ja_api_presets_index.md.BZKh7pEG.js b/assets/ja_api_presets_index.md.BZKh7pEG.js new file mode 100644 index 0000000..fd6e431 --- /dev/null +++ b/assets/ja_api_presets_index.md.BZKh7pEG.js @@ -0,0 +1 @@ +import{_ as s,c as a,o,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","collapsed":true},"headers":[],"relativePath":"ja/api/presets/index.md","filePath":"ja/api/presets/index.md"}'),r={name:"ja/api/presets/index.md"},i=e("h1",{id:"mbcp-presets",tabindex:"-1"},[t("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),n=e("p",null,[e("strong",null,"説明"),t(": Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved")],-1),p=e("p",null,[t("@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : "),e("a",{href:"mailto:snowykami@outlook.com",target:"_blank",rel:"noreferrer"},"snowykami@outlook.com"),t(" @File : "),e("strong",null,"init"),t(".py @Software: PyCharm")],-1),l=[i,n,p];function c(d,m,_,h,u,f){return o(),a("div",null,l)}const x=s(r,[["render",c]]);export{b as __pageData,x as default}; diff --git a/assets/ja_api_presets_index.md.BZKh7pEG.lean.js b/assets/ja_api_presets_index.md.BZKh7pEG.lean.js new file mode 100644 index 0000000..fd6e431 --- /dev/null +++ b/assets/ja_api_presets_index.md.BZKh7pEG.lean.js @@ -0,0 +1 @@ +import{_ as s,c as a,o,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","collapsed":true},"headers":[],"relativePath":"ja/api/presets/index.md","filePath":"ja/api/presets/index.md"}'),r={name:"ja/api/presets/index.md"},i=e("h1",{id:"mbcp-presets",tabindex:"-1"},[t("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),n=e("p",null,[e("strong",null,"説明"),t(": Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved")],-1),p=e("p",null,[t("@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : "),e("a",{href:"mailto:snowykami@outlook.com",target:"_blank",rel:"noreferrer"},"snowykami@outlook.com"),t(" @File : "),e("strong",null,"init"),t(".py @Software: PyCharm")],-1),l=[i,n,p];function c(d,m,_,h,u,f){return o(),a("div",null,l)}const x=s(r,[["render",c]]);export{b as __pageData,x as default}; diff --git a/assets/ja_api_presets_model_index.md.D8yZmO5R.lean.js b/assets/ja_api_presets_model_index.md.D8yZmO5R.lean.js deleted file mode 100644 index 6239e6f..0000000 --- a/assets/ja_api_presets_model_index.md.D8yZmO5R.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"ja/api/presets/model/index.md","filePath":"ja/api/presets/model/index.md"}'),t={name:"ja/api/presets/model/index.md"},h=n("",8),l=[h];function k(p,e,r,d,E,g){return a(),i("div",null,l)}const F=s(t,[["render",k]]);export{o as __pageData,F as default}; diff --git a/assets/api_presets_model_index.md.DUZx13AW.js b/assets/ja_api_presets_model_index.md.DzI-SA0H.js similarity index 76% rename from assets/api_presets_model_index.md.DUZx13AW.js rename to assets/ja_api_presets_model_index.md.DzI-SA0H.js index 703cf6b..5bf63f1 100644 --- a/assets/api_presets_model_index.md.DUZx13AW.js +++ b/assets/ja_api_presets_model_index.md.DzI-SA0H.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"api/presets/model/index.md"}'),t={name:"api/presets/model/index.md"},h=n(`

class GeometricModels ​

@staticmethod ​

method sphere(radius: float, density: float) ​

说明: 生成球体上的点集。

参数:

  • radius:
  • density:

返回: List[Point3]: 球体上的点集。

源代码
python
@staticmethod
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","collapsed":true},"headers":[],"relativePath":"ja/api/presets/model/index.md","filePath":"ja/api/presets/model/index.md"}'),t={name:"ja/api/presets/model/index.md"},h=n(`
mbcp.presets.model ​
説明: 几何模型点集
class GeometricModels ​
@staticmethod ​
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
引数:
  • radius:
  • density:
戻り値: List[Point3]: 球体上的点集。
ソースコード
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -15,4 +15,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o
     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)]
`,8),l=[h];function k(p,e,r,d,E,g){return a(),i("div",null,l)}const F=s(t,[["render",k]]);export{o as __pageData,F as default};
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
`,10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{y as __pageData,c as default}; diff --git a/assets/ja_api_presets_model_index.md.DzI-SA0H.lean.js b/assets/ja_api_presets_model_index.md.DzI-SA0H.lean.js new file mode 100644 index 0000000..497c78d --- /dev/null +++ b/assets/ja_api_presets_model_index.md.DzI-SA0H.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","collapsed":true},"headers":[],"relativePath":"ja/api/presets/model/index.md","filePath":"ja/api/presets/model/index.md"}'),t={name:"ja/api/presets/model/index.md"},h=n("",10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(t,[["render",p]]);export{y as __pageData,c as default}; diff --git a/assets/ja_guide_index.md.BxGnZYwR.js b/assets/ja_guide_index.md.BxGnZYwR.js new file mode 100644 index 0000000..feb113f --- /dev/null +++ b/assets/ja_guide_index.md.BxGnZYwR.js @@ -0,0 +1 @@ +import{_ as T,c as e,j as t,a as s,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const H=JSON.parse('{"title":"开始不了一点","description":"","frontmatter":{},"headers":[],"relativePath":"ja/guide/index.md","filePath":"ja/guide/index.md"}'),n={name:"ja/guide/index.md"},Q=t("h1",{id:"开始不了一点",tabindex:"-1"},[s("开始不了一点 "),t("a",{class:"header-anchor",href:"#开始不了一点","aria-label":'Permalink to "开始不了一点"'},"​")],-1),l={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.771ex"},xmlns:"http://www.w3.org/2000/svg",width:"7.561ex",height:"3.042ex",role:"img",focusable:"false",viewBox:"0 -1003.5 3342.1 1344.3","aria-hidden":"true"},r=o('',1),i=[r],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("msubsup",null,[t("mo",{"data-mjx-texclass":"OP"},"∫"),t("mrow",{"data-mjx-texclass":"ORD"},[t("mn",null,"1")]),t("mrow",{"data-mjx-texclass":"ORD"},[t("mn",null,"2")])]),t("mi",null,"x"),t("mn",null,"111")])],-1);function c(h,p,x,_,g,u){return a(),e("div",null,[Q,t("p",null,[t("mjx-container",l,[(a(),e("svg",d,i)),m])])])}const w=T(n,[["render",c]]);export{H as __pageData,w as default}; 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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, with additional features like line-highlighting:

Input

md
\`\`\`js{4}
-export default {
-  data () {
-    return {
-      msg: 'Highlighted!'
-    }
-  }
-}
-\`\`\`

Output

js
export default {
-  data () {
-    return {
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-    }
-  }
-}

Custom Containers ​

Input

md
::: info
-This is an info box.
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-This is a tip.
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-This is a warning.
-:::
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-::: 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.

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var(--vp-c-purple-soft);--vp-c-warning-1: var(--vp-c-yellow-1);--vp-c-warning-2: var(--vp-c-yellow-2);--vp-c-warning-3: var(--vp-c-yellow-3);--vp-c-warning-soft: var(--vp-c-yellow-soft);--vp-c-danger-1: var(--vp-c-red-1);--vp-c-danger-2: var(--vp-c-red-2);--vp-c-danger-3: var(--vp-c-red-3);--vp-c-danger-soft: var(--vp-c-red-soft);--vp-c-caution-1: var(--vp-c-red-1);--vp-c-caution-2: var(--vp-c-red-2);--vp-c-caution-3: var(--vp-c-red-3);--vp-c-caution-soft: var(--vp-c-red-soft)}:root{--vp-font-family-base: "Inter", ui-sans-serif, system-ui, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji";--vp-font-family-mono: ui-monospace, "Menlo", "Monaco", "Consolas", "Liberation Mono", "Courier New", monospace;font-optical-sizing:auto}:root:where(:lang(zh)){--vp-font-family-base: "Punctuation SC", "Inter", ui-sans-serif, system-ui, "PingFang SC", "Noto Sans CJK SC", "Noto Sans SC", "Heiti SC", "Microsoft YaHei", "DengXian", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"}:root{--vp-shadow-1: 0 1px 2px rgba(0, 0, 0, .04), 0 1px 2px rgba(0, 0, 0, .06);--vp-shadow-2: 0 3px 12px rgba(0, 0, 0, .07), 0 1px 4px rgba(0, 0, 0, .07);--vp-shadow-3: 0 12px 32px rgba(0, 0, 0, .1), 0 2px 6px rgba(0, 0, 0, .08);--vp-shadow-4: 0 14px 44px rgba(0, 0, 0, .12), 0 3px 9px rgba(0, 0, 0, .12);--vp-shadow-5: 0 18px 56px rgba(0, 0, 0, .16), 0 4px 12px rgba(0, 0, 0, .16)}:root{--vp-z-index-footer: 10;--vp-z-index-local-nav: 20;--vp-z-index-nav: 30;--vp-z-index-layout-top: 40;--vp-z-index-backdrop: 50;--vp-z-index-sidebar: 60}@media (min-width: 960px){:root{--vp-z-index-sidebar: 25}}:root{--vp-layout-max-width: 1440px}:root{--vp-header-anchor-symbol: "#"}:root{--vp-code-line-height: 1.7;--vp-code-font-size: .875em;--vp-code-color: var(--vp-c-brand-1);--vp-code-link-color: var(--vp-c-brand-1);--vp-code-link-hover-color: var(--vp-c-brand-2);--vp-code-bg: var(--vp-c-default-soft);--vp-code-block-color: var(--vp-c-text-2);--vp-code-block-bg: var(--vp-c-bg-alt);--vp-code-block-divider-color: var(--vp-c-gutter);--vp-code-lang-color: var(--vp-c-text-3);--vp-code-line-highlight-color: var(--vp-c-default-soft);--vp-code-line-number-color: var(--vp-c-text-3);--vp-code-line-diff-add-color: var(--vp-c-success-soft);--vp-code-line-diff-add-symbol-color: var(--vp-c-success-1);--vp-code-line-diff-remove-color: var(--vp-c-danger-soft);--vp-code-line-diff-remove-symbol-color: var(--vp-c-danger-1);--vp-code-line-warning-color: var(--vp-c-warning-soft);--vp-code-line-error-color: var(--vp-c-danger-soft);--vp-code-copy-code-border-color: var(--vp-c-divider);--vp-code-copy-code-bg: var(--vp-c-bg-soft);--vp-code-copy-code-hover-border-color: var(--vp-c-divider);--vp-code-copy-code-hover-bg: var(--vp-c-bg);--vp-code-copy-code-active-text: var(--vp-c-text-2);--vp-code-copy-copied-text-content: "Copied";--vp-code-tab-divider: var(--vp-code-block-divider-color);--vp-code-tab-text-color: var(--vp-c-text-2);--vp-code-tab-bg: var(--vp-code-block-bg);--vp-code-tab-hover-text-color: var(--vp-c-text-1);--vp-code-tab-active-text-color: var(--vp-c-text-1);--vp-code-tab-active-bar-color: var(--vp-c-brand-1)}:root{--vp-button-brand-border: transparent;--vp-button-brand-text: var(--vp-c-white);--vp-button-brand-bg: var(--vp-c-brand-3);--vp-button-brand-hover-border: transparent;--vp-button-brand-hover-text: var(--vp-c-white);--vp-button-brand-hover-bg: var(--vp-c-brand-2);--vp-button-brand-active-border: transparent;--vp-button-brand-active-text: var(--vp-c-white);--vp-button-brand-active-bg: var(--vp-c-brand-1);--vp-button-alt-border: transparent;--vp-button-alt-text: var(--vp-c-text-1);--vp-button-alt-bg: var(--vp-c-default-3);--vp-button-alt-hover-border: transparent;--vp-button-alt-hover-text: var(--vp-c-text-1);--vp-button-alt-hover-bg: var(--vp-c-default-2);--vp-button-alt-active-border: transparent;--vp-button-alt-active-text: var(--vp-c-text-1);--vp-button-alt-active-bg: var(--vp-c-default-1);--vp-button-sponsor-border: var(--vp-c-text-2);--vp-button-sponsor-text: var(--vp-c-text-2);--vp-button-sponsor-bg: transparent;--vp-button-sponsor-hover-border: var(--vp-c-sponsor);--vp-button-sponsor-hover-text: var(--vp-c-sponsor);--vp-button-sponsor-hover-bg: transparent;--vp-button-sponsor-active-border: var(--vp-c-sponsor);--vp-button-sponsor-active-text: var(--vp-c-sponsor);--vp-button-sponsor-active-bg: transparent}:root{--vp-custom-block-font-size: 14px;--vp-custom-block-code-font-size: 13px;--vp-custom-block-info-border: transparent;--vp-custom-block-info-text: var(--vp-c-text-1);--vp-custom-block-info-bg: var(--vp-c-default-soft);--vp-custom-block-info-code-bg: var(--vp-c-default-soft);--vp-custom-block-note-border: transparent;--vp-custom-block-note-text: var(--vp-c-text-1);--vp-custom-block-note-bg: var(--vp-c-default-soft);--vp-custom-block-note-code-bg: var(--vp-c-default-soft);--vp-custom-block-tip-border: transparent;--vp-custom-block-tip-text: var(--vp-c-text-1);--vp-custom-block-tip-bg: var(--vp-c-tip-soft);--vp-custom-block-tip-code-bg: var(--vp-c-tip-soft);--vp-custom-block-important-border: transparent;--vp-custom-block-important-text: var(--vp-c-text-1);--vp-custom-block-important-bg: var(--vp-c-important-soft);--vp-custom-block-important-code-bg: var(--vp-c-important-soft);--vp-custom-block-warning-border: transparent;--vp-custom-block-warning-text: var(--vp-c-text-1);--vp-custom-block-warning-bg: var(--vp-c-warning-soft);--vp-custom-block-warning-code-bg: var(--vp-c-warning-soft);--vp-custom-block-danger-border: transparent;--vp-custom-block-danger-text: var(--vp-c-text-1);--vp-custom-block-danger-bg: var(--vp-c-danger-soft);--vp-custom-block-danger-code-bg: var(--vp-c-danger-soft);--vp-custom-block-caution-border: transparent;--vp-custom-block-caution-text: var(--vp-c-text-1);--vp-custom-block-caution-bg: var(--vp-c-caution-soft);--vp-custom-block-caution-code-bg: var(--vp-c-caution-soft);--vp-custom-block-details-border: var(--vp-custom-block-info-border);--vp-custom-block-details-text: var(--vp-custom-block-info-text);--vp-custom-block-details-bg: var(--vp-custom-block-info-bg);--vp-custom-block-details-code-bg: var(--vp-custom-block-info-code-bg)}:root{--vp-input-border-color: var(--vp-c-border);--vp-input-bg-color: var(--vp-c-bg-alt);--vp-input-switch-bg-color: var(--vp-c-default-soft)}:root{--vp-nav-height: 64px;--vp-nav-bg-color: var(--vp-c-bg);--vp-nav-screen-bg-color: var(--vp-c-bg);--vp-nav-logo-height: 24px}.hide-nav{--vp-nav-height: 0px}.hide-nav .VPSidebar{--vp-nav-height: 22px}:root{--vp-local-nav-bg-color: var(--vp-c-bg)}:root{--vp-sidebar-width: 272px;--vp-sidebar-bg-color: var(--vp-c-bg-alt)}:root{--vp-backdrop-bg-color: rgba(0, 0, 0, .6)}:root{--vp-home-hero-name-color: var(--vp-c-brand-1);--vp-home-hero-name-background: transparent;--vp-home-hero-image-background-image: none;--vp-home-hero-image-filter: none}:root{--vp-badge-info-border: transparent;--vp-badge-info-text: var(--vp-c-text-2);--vp-badge-info-bg: var(--vp-c-default-soft);--vp-badge-tip-border: transparent;--vp-badge-tip-text: var(--vp-c-tip-1);--vp-badge-tip-bg: var(--vp-c-tip-soft);--vp-badge-warning-border: transparent;--vp-badge-warning-text: var(--vp-c-warning-1);--vp-badge-warning-bg: var(--vp-c-warning-soft);--vp-badge-danger-border: transparent;--vp-badge-danger-text: var(--vp-c-danger-1);--vp-badge-danger-bg: var(--vp-c-danger-soft)}:root{--vp-carbon-ads-text-color: var(--vp-c-text-1);--vp-carbon-ads-poweredby-color: var(--vp-c-text-2);--vp-carbon-ads-bg-color: var(--vp-c-bg-soft);--vp-carbon-ads-hover-text-color: var(--vp-c-brand-1);--vp-carbon-ads-hover-poweredby-color: var(--vp-c-text-1)}:root{--vp-local-search-bg: var(--vp-c-bg);--vp-local-search-result-bg: var(--vp-c-bg);--vp-local-search-result-border: var(--vp-c-divider);--vp-local-search-result-selected-bg: 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var(--vp-c-purple-soft);--vp-c-warning-1: var(--vp-c-yellow-1);--vp-c-warning-2: var(--vp-c-yellow-2);--vp-c-warning-3: var(--vp-c-yellow-3);--vp-c-warning-soft: var(--vp-c-yellow-soft);--vp-c-danger-1: var(--vp-c-red-1);--vp-c-danger-2: var(--vp-c-red-2);--vp-c-danger-3: var(--vp-c-red-3);--vp-c-danger-soft: var(--vp-c-red-soft);--vp-c-caution-1: var(--vp-c-red-1);--vp-c-caution-2: var(--vp-c-red-2);--vp-c-caution-3: var(--vp-c-red-3);--vp-c-caution-soft: var(--vp-c-red-soft)}:root{--vp-font-family-base: "Inter", ui-sans-serif, system-ui, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji";--vp-font-family-mono: ui-monospace, "Menlo", "Monaco", "Consolas", "Liberation Mono", "Courier New", monospace;font-optical-sizing:auto}:root:where(:lang(zh)){--vp-font-family-base: "Punctuation SC", "Inter", ui-sans-serif, system-ui, "PingFang SC", "Noto Sans CJK SC", "Noto Sans SC", "Heiti SC", "Microsoft YaHei", "DengXian", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"}:root{--vp-shadow-1: 0 1px 2px rgba(0, 0, 0, .04), 0 1px 2px rgba(0, 0, 0, .06);--vp-shadow-2: 0 3px 12px rgba(0, 0, 0, .07), 0 1px 4px rgba(0, 0, 0, .07);--vp-shadow-3: 0 12px 32px rgba(0, 0, 0, .1), 0 2px 6px rgba(0, 0, 0, .08);--vp-shadow-4: 0 14px 44px rgba(0, 0, 0, .12), 0 3px 9px rgba(0, 0, 0, .12);--vp-shadow-5: 0 18px 56px rgba(0, 0, 0, .16), 0 4px 12px rgba(0, 0, 0, .16)}:root{--vp-z-index-footer: 10;--vp-z-index-local-nav: 20;--vp-z-index-nav: 30;--vp-z-index-layout-top: 40;--vp-z-index-backdrop: 50;--vp-z-index-sidebar: 60}@media (min-width: 960px){:root{--vp-z-index-sidebar: 25}}:root{--vp-layout-max-width: 1440px}:root{--vp-header-anchor-symbol: "#"}:root{--vp-code-line-height: 1.7;--vp-code-font-size: .875em;--vp-code-color: var(--vp-c-brand-1);--vp-code-link-color: var(--vp-c-brand-1);--vp-code-link-hover-color: var(--vp-c-brand-2);--vp-code-bg: var(--vp-c-default-soft);--vp-code-block-color: var(--vp-c-text-2);--vp-code-block-bg: var(--vp-c-bg-alt);--vp-code-block-divider-color: var(--vp-c-gutter);--vp-code-lang-color: var(--vp-c-text-3);--vp-code-line-highlight-color: var(--vp-c-default-soft);--vp-code-line-number-color: var(--vp-c-text-3);--vp-code-line-diff-add-color: var(--vp-c-success-soft);--vp-code-line-diff-add-symbol-color: var(--vp-c-success-1);--vp-code-line-diff-remove-color: var(--vp-c-danger-soft);--vp-code-line-diff-remove-symbol-color: var(--vp-c-danger-1);--vp-code-line-warning-color: var(--vp-c-warning-soft);--vp-code-line-error-color: var(--vp-c-danger-soft);--vp-code-copy-code-border-color: var(--vp-c-divider);--vp-code-copy-code-bg: var(--vp-c-bg-soft);--vp-code-copy-code-hover-border-color: var(--vp-c-divider);--vp-code-copy-code-hover-bg: var(--vp-c-bg);--vp-code-copy-code-active-text: var(--vp-c-text-2);--vp-code-copy-copied-text-content: "Copied";--vp-code-tab-divider: var(--vp-code-block-divider-color);--vp-code-tab-text-color: var(--vp-c-text-2);--vp-code-tab-bg: var(--vp-code-block-bg);--vp-code-tab-hover-text-color: var(--vp-c-text-1);--vp-code-tab-active-text-color: var(--vp-c-text-1);--vp-code-tab-active-bar-color: var(--vp-c-brand-1)}:root{--vp-button-brand-border: transparent;--vp-button-brand-text: var(--vp-c-white);--vp-button-brand-bg: var(--vp-c-brand-3);--vp-button-brand-hover-border: transparent;--vp-button-brand-hover-text: var(--vp-c-white);--vp-button-brand-hover-bg: var(--vp-c-brand-2);--vp-button-brand-active-border: transparent;--vp-button-brand-active-text: var(--vp-c-white);--vp-button-brand-active-bg: var(--vp-c-brand-1);--vp-button-alt-border: transparent;--vp-button-alt-text: var(--vp-c-text-1);--vp-button-alt-bg: var(--vp-c-default-3);--vp-button-alt-hover-border: transparent;--vp-button-alt-hover-text: var(--vp-c-text-1);--vp-button-alt-hover-bg: var(--vp-c-default-2);--vp-button-alt-active-border: transparent;--vp-button-alt-active-text: var(--vp-c-text-1);--vp-button-alt-active-bg: var(--vp-c-default-1);--vp-button-sponsor-border: var(--vp-c-text-2);--vp-button-sponsor-text: var(--vp-c-text-2);--vp-button-sponsor-bg: transparent;--vp-button-sponsor-hover-border: var(--vp-c-sponsor);--vp-button-sponsor-hover-text: var(--vp-c-sponsor);--vp-button-sponsor-hover-bg: transparent;--vp-button-sponsor-active-border: var(--vp-c-sponsor);--vp-button-sponsor-active-text: var(--vp-c-sponsor);--vp-button-sponsor-active-bg: transparent}:root{--vp-custom-block-font-size: 14px;--vp-custom-block-code-font-size: 13px;--vp-custom-block-info-border: transparent;--vp-custom-block-info-text: var(--vp-c-text-1);--vp-custom-block-info-bg: var(--vp-c-default-soft);--vp-custom-block-info-code-bg: var(--vp-c-default-soft);--vp-custom-block-note-border: transparent;--vp-custom-block-note-text: var(--vp-c-text-1);--vp-custom-block-note-bg: var(--vp-c-default-soft);--vp-custom-block-note-code-bg: var(--vp-c-default-soft);--vp-custom-block-tip-border: transparent;--vp-custom-block-tip-text: var(--vp-c-text-1);--vp-custom-block-tip-bg: var(--vp-c-tip-soft);--vp-custom-block-tip-code-bg: var(--vp-c-tip-soft);--vp-custom-block-important-border: transparent;--vp-custom-block-important-text: var(--vp-c-text-1);--vp-custom-block-important-bg: var(--vp-c-important-soft);--vp-custom-block-important-code-bg: var(--vp-c-important-soft);--vp-custom-block-warning-border: transparent;--vp-custom-block-warning-text: var(--vp-c-text-1);--vp-custom-block-warning-bg: var(--vp-c-warning-soft);--vp-custom-block-warning-code-bg: var(--vp-c-warning-soft);--vp-custom-block-danger-border: transparent;--vp-custom-block-danger-text: var(--vp-c-text-1);--vp-custom-block-danger-bg: var(--vp-c-danger-soft);--vp-custom-block-danger-code-bg: var(--vp-c-danger-soft);--vp-custom-block-caution-border: transparent;--vp-custom-block-caution-text: var(--vp-c-text-1);--vp-custom-block-caution-bg: var(--vp-c-caution-soft);--vp-custom-block-caution-code-bg: var(--vp-c-caution-soft);--vp-custom-block-details-border: var(--vp-custom-block-info-border);--vp-custom-block-details-text: var(--vp-custom-block-info-text);--vp-custom-block-details-bg: var(--vp-custom-block-info-bg);--vp-custom-block-details-code-bg: var(--vp-custom-block-info-code-bg)}:root{--vp-input-border-color: var(--vp-c-border);--vp-input-bg-color: var(--vp-c-bg-alt);--vp-input-switch-bg-color: var(--vp-c-default-soft)}:root{--vp-nav-height: 64px;--vp-nav-bg-color: var(--vp-c-bg);--vp-nav-screen-bg-color: var(--vp-c-bg);--vp-nav-logo-height: 24px}.hide-nav{--vp-nav-height: 0px}.hide-nav .VPSidebar{--vp-nav-height: 22px}:root{--vp-local-nav-bg-color: var(--vp-c-bg)}:root{--vp-sidebar-width: 272px;--vp-sidebar-bg-color: var(--vp-c-bg-alt)}:root{--vp-backdrop-bg-color: rgba(0, 0, 0, .6)}:root{--vp-home-hero-name-color: var(--vp-c-brand-1);--vp-home-hero-name-background: transparent;--vp-home-hero-image-background-image: none;--vp-home-hero-image-filter: none}:root{--vp-badge-info-border: transparent;--vp-badge-info-text: var(--vp-c-text-2);--vp-badge-info-bg: var(--vp-c-default-soft);--vp-badge-tip-border: transparent;--vp-badge-tip-text: var(--vp-c-tip-1);--vp-badge-tip-bg: var(--vp-c-tip-soft);--vp-badge-warning-border: transparent;--vp-badge-warning-text: var(--vp-c-warning-1);--vp-badge-warning-bg: var(--vp-c-warning-soft);--vp-badge-danger-border: transparent;--vp-badge-danger-text: var(--vp-c-danger-1);--vp-badge-danger-bg: var(--vp-c-danger-soft)}:root{--vp-carbon-ads-text-color: var(--vp-c-text-1);--vp-carbon-ads-poweredby-color: var(--vp-c-text-2);--vp-carbon-ads-bg-color: var(--vp-c-bg-soft);--vp-carbon-ads-hover-text-color: var(--vp-c-brand-1);--vp-carbon-ads-hover-poweredby-color: var(--vp-c-text-1)}:root{--vp-local-search-bg: var(--vp-c-bg);--vp-local-search-result-bg: var(--vp-c-bg);--vp-local-search-result-border: var(--vp-c-divider);--vp-local-search-result-selected-bg: 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a/assets/zht_api_index.md.BoNToa7V.js b/assets/zht_api_index.md.BoNToa7V.js new file mode 100644 index 0000000..6d259c4 --- /dev/null +++ b/assets/zht_api_index.md.BoNToa7V.js @@ -0,0 +1 @@ +import{_ as a,c,o as n,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","collapsed":true},"headers":[],"relativePath":"zht/api/index.md","filePath":"zht/api/index.md"}'),o={name:"zht/api/index.md"},s=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"説明"),t(": 本模块塞了一些预设的粒子生成器")],-1),i=[s,r];function d(p,l,_,m,h,f){return n(),c("div",null,i)}const u=a(o,[["render",d]]);export{b as __pageData,u as default}; diff --git a/assets/zht_api_index.md.BoNToa7V.lean.js b/assets/zht_api_index.md.BoNToa7V.lean.js new file mode 100644 index 0000000..6d259c4 --- /dev/null +++ b/assets/zht_api_index.md.BoNToa7V.lean.js @@ -0,0 +1 @@ +import{_ as a,c,o as n,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","collapsed":true},"headers":[],"relativePath":"zht/api/index.md","filePath":"zht/api/index.md"}'),o={name:"zht/api/index.md"},s=e("h1",{id:"mbcp",tabindex:"-1"},[t("mbcp "),e("a",{class:"header-anchor",href:"#mbcp","aria-label":'Permalink to "mbcp"'},"​")],-1),r=e("p",null,[e("strong",null,"説明"),t(": 本模块塞了一些预设的粒子生成器")],-1),i=[s,r];function d(p,l,_,m,h,f){return n(),c("div",null,i)}const u=a(o,[["render",d]]);export{b as __pageData,u as default}; diff --git a/assets/zht_api_index.md.Dq4XPUKZ.js b/assets/zht_api_index.md.Dq4XPUKZ.js deleted file mode 100644 index b84af4b..0000000 --- a/assets/zht_api_index.md.Dq4XPUKZ.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"zht/api/index.md","filePath":"zht/api/index.md"}'),n={name:"zht/api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default}; diff --git a/assets/zht_api_index.md.Dq4XPUKZ.lean.js b/assets/zht_api_index.md.Dq4XPUKZ.lean.js deleted file mode 100644 index b84af4b..0000000 --- a/assets/zht_api_index.md.Dq4XPUKZ.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp"},"headers":[],"relativePath":"zht/api/index.md","filePath":"zht/api/index.md"}'),n={name:"zht/api/index.md"};function i(r,c,o,p,s,d){return a(),t("div")}const f=e(n,[["render",i]]);export{_ as __pageData,f as default}; diff --git a/assets/zht_api_mp_math_angle.md.B4T6L25M.js b/assets/zht_api_mp_math_angle.md.B7iqArJr.js similarity index 87% rename from assets/zht_api_mp_math_angle.md.B4T6L25M.js rename to assets/zht_api_mp_math_angle.md.B7iqArJr.js index 0fc8940..ad5a45c 100644 --- a/assets/zht_api_mp_math_angle.md.B4T6L25M.js +++ b/assets/zht_api_mp_math_angle.md.B7iqArJr.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"zht/api/mp_math/angle.md","filePath":"zht/api/mp_math/angle.md"}'),t={name:"zht/api/mp_math/angle.md"},e=n(`

class Angle ​

class AnyAngle(Angle) ​

method __init__(self, value: float, is_radian: bool = False) ​

説明: 任意角度。

變數説明:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼
python
def __init__(self, value: float, is_radian: bool=False):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"zht/api/mp_math/angle.md","filePath":"zht/api/mp_math/angle.md"}'),t={name:"zht/api/mp_math/angle.md"},e=n(`
mbcp.mp_math.angle ​
説明: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
變數説明:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -8,92 +8,92 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     if is_radian:
         self.radian = value
     else:
-        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
説明: 余角：两角的和为90°。
返回: 余角
源碼
python
@property
+        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
説明: 余角：两角的和为90°。
返回: 余角
源碼
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)
@property ​
method supplementary(self) -> AnyAngle ​
説明: 补角：两角的和为180°。
返回: 补角
源碼
python
@property
+    return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
@property ​
method supplementary(self) -> AnyAngle ​
説明: 补角：两角的和为180°。
返回: 补角
源碼
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)
@property ​
method degree(self) -> float ​
説明: 角度。
返回: 弧度
源碼
python
@property
+    return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
@property ​
method degree(self) -> float ​
説明: 角度。
返回: 弧度
源碼
python
@property
 def degree(self) -> float:
     """
         角度。
         Returns:
             弧度
         """
-    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
説明: 最小正角。
返回: 最小正角度
源碼
python
@property
+    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
説明: 最小正角。
返回: 最小正角度
源碼
python
@property
 def minimum_positive(self) -> 'AnyAngle':
     """
         最小正角。
         Returns:
             最小正角度
         """
-    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
説明: 最大负角。
返回: 最大负角度
源碼
python
@property
+    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
説明: 最大负角。
返回: 最大负角度
源碼
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)
@property ​
method sin(self) -> float ​
説明: 正弦值。
返回: 正弦值
源碼
python
@property
+    return AnyAngle(-self.radian % (2 * PI), is_radian=True)
@property ​
method sin(self) -> float ​
説明: 正弦值。
返回: 正弦值
源碼
python
@property
 def sin(self) -> float:
     """
         正弦值。
         Returns:
             正弦值
         """
-    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
説明: 余弦值。
返回: 余弦值
源碼
python
@property
+    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
説明: 余弦值。
返回: 余弦值
源碼
python
@property
 def cos(self) -> float:
     """
         余弦值。
         Returns:
             余弦值
         """
-    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
説明: 正切值。
返回: 正切值
源碼
python
@property
+    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
説明: 正切值。
返回: 正切值
源碼
python
@property
 def tan(self) -> float:
     """
         正切值。
         Returns:
             正切值
         """
-    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
説明: 余切值。
返回: 余切值
源碼
python
@property
+    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
説明: 余切值。
返回: 余切值
源碼
python
@property
 def cot(self) -> float:
     """
         余切值。
         Returns:
             余切值
         """
-    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
説明: 正割值。
返回: 正割值
源碼
python
@property
+    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
説明: 正割值。
返回: 正割值
源碼
python
@property
 def sec(self) -> float:
     """
         正割值。
         Returns:
             正割值
         """
-    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
説明: 余割值。
返回: 余割值
源碼
python
@property
+    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
説明: 余割值。
返回: 余割值
源碼
python
@property
 def csc(self) -> float:
     """
         余割值。
         Returns:
             余割值
         """
-    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
源碼
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
源碼
python
def __eq__(self, other):
-    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
源碼
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
源碼
python
def __mul__(self, other: float) -> 'AnyAngle':
-    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
源碼
python
@overload
+    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
源碼
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
源碼
python
def __eq__(self, other):
+    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
源碼
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
源碼
python
def __mul__(self, other: float) -> 'AnyAngle':
+    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
源碼
python
@overload
 def __truediv__(self, other: float) -> 'AnyAngle':
-    ...
@overload ​
method self / other: AnyAngle => float ​
源碼
python
@overload
+    ...
@overload ​
method self / other: AnyAngle => float ​
源碼
python
@overload
 def __truediv__(self, other: 'AnyAngle') -> float:
-    ...
method self / other ​
源碼
python
def __truediv__(self, other):
+    ...
method self / other ​
源碼
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)
`,78),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default};
+    return AnyAngle(self.radian / other, is_radian=True)
`,80),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default}; diff --git a/assets/zht_api_mp_math_angle.md.B4T6L25M.lean.js b/assets/zht_api_mp_math_angle.md.B7iqArJr.lean.js similarity index 57% rename from assets/zht_api_mp_math_angle.md.B4T6L25M.lean.js rename to assets/zht_api_mp_math_angle.md.B7iqArJr.lean.js index d02fff3..e8fcf1b 100644 --- a/assets/zht_api_mp_math_angle.md.B4T6L25M.lean.js +++ b/assets/zht_api_mp_math_angle.md.B7iqArJr.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"zht/api/mp_math/angle.md","filePath":"zht/api/mp_math/angle.md"}'),t={name:"zht/api/mp_math/angle.md"},e=n("",78),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle"},"headers":[],"relativePath":"zht/api/mp_math/angle.md","filePath":"zht/api/mp_math/angle.md"}'),t={name:"zht/api/mp_math/angle.md"},e=n("",80),l=[e];function h(p,k,r,d,o,g){return a(),i("div",null,l)}const c=s(t,[["render",h]]);export{F as __pageData,c as default}; diff --git a/assets/zht_api_mp_math_const.md.3LY5TQ7t.js b/assets/zht_api_mp_math_const.md.3LY5TQ7t.js new file mode 100644 index 0000000..8273c03 --- /dev/null +++ b/assets/zht_api_mp_math_const.md.3LY5TQ7t.js @@ -0,0 +1 @@ +import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"zht/api/mp_math/const.md","filePath":"zht/api/mp_math/const.md"}'),r={name:"zht/api/mp_math/const.md"},c=o('

mbcp.mp_math.const ​

説明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 説明: 常量 π

var E = math.e ​

  • 説明: 自然对数的底 exp(1)

var GOLDEN_RATIO = (1 + math.sqrt(5)) / 2 ​

  • 説明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 説明: 欧拉常数

var EPSILON = 0.0001 ​

  • 説明: 精度误差

var APPROX = 0.001 ​

  • 説明: 约等于判定误差
',14),i=[c];function n(l,h,s,d,m,p){return e(),t("div",null,i)}const v=a(r,[["render",n]]);export{u as __pageData,v as default}; diff --git a/assets/zht_api_mp_math_const.md.3LY5TQ7t.lean.js b/assets/zht_api_mp_math_const.md.3LY5TQ7t.lean.js new file mode 100644 index 0000000..ad10b71 --- /dev/null +++ b/assets/zht_api_mp_math_const.md.3LY5TQ7t.lean.js @@ -0,0 +1 @@ +import{_ as a,c as t,o as e,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"zht/api/mp_math/const.md","filePath":"zht/api/mp_math/const.md"}'),r={name:"zht/api/mp_math/const.md"},c=o("",14),i=[c];function n(l,h,s,d,m,p){return e(),t("div",null,i)}const v=a(r,[["render",n]]);export{u as __pageData,v as default}; diff --git a/assets/zht_api_mp_math_const.md.B8uQOIr_.js b/assets/zht_api_mp_math_const.md.B8uQOIr_.js deleted file mode 100644 index 26995b2..0000000 --- a/assets/zht_api_mp_math_const.md.B8uQOIr_.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as a,o as e,a2 as o}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"zht/api/mp_math/const.md","filePath":"zht/api/mp_math/const.md"}'),r={name:"zht/api/mp_math/const.md"},s=o('

var EPSILON = 0.0001 ​

  • 説明: ε

var APPROX = 0.001 ​

  • 説明: 约等于误差
',4),n=[s];function c(_,i,l,m,p,h){return e(),a("div",null,n)}const P=t(r,[["render",c]]);export{u as __pageData,P as default}; diff --git a/assets/zht_api_mp_math_const.md.B8uQOIr_.lean.js b/assets/zht_api_mp_math_const.md.B8uQOIr_.lean.js deleted file mode 100644 index bd69dc7..0000000 --- a/assets/zht_api_mp_math_const.md.B8uQOIr_.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as a,o as e,a2 as o}from"./chunks/framework.BV61Qrc0.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const"},"headers":[],"relativePath":"zht/api/mp_math/const.md","filePath":"zht/api/mp_math/const.md"}'),r={name:"zht/api/mp_math/const.md"},s=o("",4),n=[s];function c(_,i,l,m,p,h){return e(),a("div",null,n)}const P=t(r,[["render",c]]);export{u as __pageData,P as default}; diff --git a/assets/zht_api_mp_math_equation.md.CtFwMbbV.lean.js b/assets/zht_api_mp_math_equation.md.CtFwMbbV.lean.js deleted file mode 100644 index 93235b8..0000000 --- a/assets/zht_api_mp_math_equation.md.CtFwMbbV.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),l={name:"zht/api/mp_math/equation.md"},t=n("",27),h=[t];function p(k,e,r,E,d,g){return a(),i("div",null,h)}const u=s(l,[["render",p]]);export{F as __pageData,u as default}; diff --git a/assets/ja_api_mp_math_equation.md.DvgEtgmw.js b/assets/zht_api_mp_math_equation.md.DMSjWdou.js similarity index 69% rename from assets/ja_api_mp_math_equation.md.DvgEtgmw.js rename to assets/zht_api_mp_math_equation.md.DMSjWdou.js index 1c794a2..ea88eee 100644 --- a/assets/ja_api_mp_math_equation.md.DvgEtgmw.js +++ b/assets/zht_api_mp_math_equation.md.DMSjWdou.js @@ -1,4 +1,26 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),l={name:"ja/api/mp_math/equation.md"},t=n(`

func get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc ​

説明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。

WARNING

目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升

引数:

  • 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

戻り値: 偏导函数

例外:

  • ValueError 无效变量类型
ソースコード
python
def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number=EPSILON) -> MultiVarsFunc:
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),t={name:"zht/api/mp_math/equation.md"},l=n(`
mbcp.mp_math.equation ​
説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源碼
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    """
+        曲线方程。
+        Args:
+            x_func: x函数
+            y_func: y函数
+            z_func: z函数
+        """
+    self.x_func = x_func
+    self.y_func = y_func
+    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
説明: 计算曲线上的点。
變數説明:
  • *t:
  • 参数:
返回: 目标点
源碼
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
+    """
+        计算曲线上的点。
+        Args:
+            *t:
+                参数
+        Returns:
+            目标点
+        """
+    if len(t) == 1:
+        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
+    else:
+        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc ​
説明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。
WARNING
目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升
變數説明:
  • 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
返回: 偏导函数
抛出:
  • ValueError 无效变量类型
源碼
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。
     > [!warning]
@@ -40,7 +62,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
func curry(*args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
引数:
  • func: 函数
  • *args: 参数
戻り値: 柯里化后的函数
ソースコード
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
+        raise ValueError('Invalid var type')
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
變數説明:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源碼
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
     """
     对多参数函数进行柯里化。
     > [!tip]
@@ -55,26 +77,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     def curried_func(*args2: Var) -> Var:
         """@litedoc-hide"""
         return func(*args, *args2)
-    return curried_func
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
ソースコード
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
-    """
-        曲线方程。
-        Args:
-            x_func: x函数
-            y_func: y函数
-            z_func: z函数
-        """
-    self.x_func = x_func
-    self.y_func = y_func
-    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
説明: 计算曲线上的点。
引数:
  • *t:
  • 参数:
ソースコード
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
-    """
-        计算曲线上的点。
-        Args:
-            *t:
-                参数
-        Returns:
-
-        """
-    if len(t) == 1:
-        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
-    else:
-        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
`,27),h=[t];function p(k,e,r,E,d,g){return a(),i("div",null,h)}const u=s(l,[["render",p]]);export{F as __pageData,u as default};
+    return curried_func
`,30),p=[l];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/zht_api_mp_math_equation.md.DMSjWdou.lean.js b/assets/zht_api_mp_math_equation.md.DMSjWdou.lean.js new file mode 100644 index 0000000..9b4a068 --- /dev/null +++ b/assets/zht_api_mp_math_equation.md.DMSjWdou.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation"},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),t={name:"zht/api/mp_math/equation.md"},l=n("",30),p=[l];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/zht_api_mp_math_function.md.DOX7pGXC.js b/assets/zht_api_mp_math_function.md.DOX7pGXC.js new file mode 100644 index 0000000..19a863d --- /dev/null +++ b/assets/zht_api_mp_math_function.md.DOX7pGXC.js @@ -0,0 +1,17 @@ +import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function"},"headers":[],"relativePath":"zht/api/mp_math/function.md","filePath":"zht/api/mp_math/function.md"}'),n={name:"zht/api/mp_math/function.md"},l=a('

mbcp.mp_math.function ​

説明: AAA

func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​

説明: 计算三元函数在某点的梯度向量。

',4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a('',1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a('',1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a(`

變數説明:

  • func: 三元函数
  • p: 点
  • epsilon: 偏移量

返回: 梯度

源碼
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    """
+    计算三元函数在某点的梯度向量。
+    > [!tip]
+    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
+    $\\\\nabla f(x_0, y_0, z_0) = \\\\left(\\\\frac{\\\\partial f}{\\\\partial x}, \\\\frac{\\\\partial f}{\\\\partial y}, \\\\frac{\\\\partial f}{\\\\partial z}\\\\right)$
+    Args:
+        func: 三元函数
+        p: 点
+        epsilon: 偏移量
+    Returns:
+        梯度
+    """
+    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
+    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
+    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
+    return Vector3(dx, dy, dz)
`,4);function C(L,H,M,Z,b,D){return Q(),s("div",null,[l,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(n,[["render",C]]);export{v as __pageData,V as default}; diff --git a/assets/zht_api_mp_math_function.md.DOX7pGXC.lean.js b/assets/zht_api_mp_math_function.md.DOX7pGXC.lean.js new file mode 100644 index 0000000..9903b1a --- /dev/null +++ b/assets/zht_api_mp_math_function.md.DOX7pGXC.lean.js @@ -0,0 +1 @@ +import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function"},"headers":[],"relativePath":"zht/api/mp_math/function.md","filePath":"zht/api/mp_math/function.md"}'),n={name:"zht/api/mp_math/function.md"},l=a("",4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a("",1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a("",1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a("",1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a("",4);function C(L,H,M,Z,b,D){return Q(),s("div",null,[l,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(n,[["render",C]]);export{v as __pageData,V as default}; diff --git a/assets/zht_api_mp_math_index.md.Cp3ggfPO.js b/assets/zht_api_mp_math_index.md.Cp3ggfPO.js new file mode 100644 index 0000000..c19d933 --- /dev/null +++ b/assets/zht_api_mp_math_index.md.Cp3ggfPO.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","collapsed":true},"headers":[],"relativePath":"zht/api/mp_math/index.md","filePath":"zht/api/mp_math/index.md"}'),c={name:"zht/api/mp_math/index.md"},i=o('

mbcp.mp_math ​

説明: 本包定义了一些常用的导入，可直接从mbcp.mp_math导入使用 导入的类有：

  • AnyAngle：任意角
  • CurveEquation：曲线方程
  • Line3：三维直线
  • Plane3：三维平面
  • Point3：三维点
  • Segment3：三维线段
  • Vector3：三维向量
',3),m=[i];function d(_,l,n,p,r,s){return a(),t("div",null,m)}const b=e(c,[["render",d]]);export{u as __pageData,b as default}; diff --git a/assets/zht_api_mp_math_index.md.Cp3ggfPO.lean.js b/assets/zht_api_mp_math_index.md.Cp3ggfPO.lean.js new file mode 100644 index 0000000..a7b515d --- /dev/null +++ b/assets/zht_api_mp_math_index.md.Cp3ggfPO.lean.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","collapsed":true},"headers":[],"relativePath":"zht/api/mp_math/index.md","filePath":"zht/api/mp_math/index.md"}'),c={name:"zht/api/mp_math/index.md"},i=o("",3),m=[i];function d(_,l,n,p,r,s){return a(),t("div",null,m)}const b=e(c,[["render",d]]);export{u as __pageData,b as default}; diff --git a/assets/zht_api_mp_math_index.md.D09y2ubg.js b/assets/zht_api_mp_math_index.md.D09y2ubg.js deleted file mode 100644 index 7a1293e..0000000 --- a/assets/zht_api_mp_math_index.md.D09y2ubg.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as e,o as a}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"zht/api/mp_math/index.md","filePath":"zht/api/mp_math/index.md"}'),m={name:"zht/api/mp_math/index.md"};function p(n,i,r,c,o,s){return a(),e("div")}const h=t(m,[["render",p]]);export{d as __pageData,h as default}; diff --git a/assets/zht_api_mp_math_index.md.D09y2ubg.lean.js b/assets/zht_api_mp_math_index.md.D09y2ubg.lean.js deleted file mode 100644 index 7a1293e..0000000 --- a/assets/zht_api_mp_math_index.md.D09y2ubg.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as t,c as e,o as a}from"./chunks/framework.BV61Qrc0.js";const d=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math"},"headers":[],"relativePath":"zht/api/mp_math/index.md","filePath":"zht/api/mp_math/index.md"}'),m={name:"zht/api/mp_math/index.md"};function p(n,i,r,c,o,s){return a(),e("div")}const h=t(m,[["render",p]]);export{d as __pageData,h as default}; diff --git a/assets/zht_api_mp_math_line.md.DYC1X0oD.js b/assets/zht_api_mp_math_line.md.D3xPFA2p.js similarity index 93% rename from assets/zht_api_mp_math_line.md.DYC1X0oD.js rename to assets/zht_api_mp_math_line.md.D3xPFA2p.js index fb70858..7b7a396 100644 --- a/assets/zht_api_mp_math_line.md.DYC1X0oD.js +++ b/assets/zht_api_mp_math_line.md.D3xPFA2p.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"zht/api/mp_math/line.md","filePath":"zht/api/mp_math/line.md"}'),t={name:"zht/api/mp_math/line.md"},l=n(`

class Line3 ​

method __init__(self, point: Point3, direction: Vector3) ​

説明: 三维空间中的直线。由一个点和一个方向向量确定。

變數説明:

  • point: 直线上的一点
  • direction: 直线的方向向量
源碼
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"zht/api/mp_math/line.md","filePath":"zht/api/mp_math/line.md"}'),t={name:"zht/api/mp_math/line.md"},l=n(`
mbcp.mp_math.line ​
説明: 本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
變數説明:
  • point: 直线上的一点
  • direction: 直线的方向向量
源碼
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:
@@ -6,7 +6,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
             direction: 直线的方向向量
         """
     self.point = point
-    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
説明: 判断两条直线是否近似相等。
變數説明:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似相等
源碼
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
+    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
説明: 判断两条直线是否近似相等。
變數説明:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似相等
源碼
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
     """
         判断两条直线是否近似相等。
         Args:
@@ -15,7 +15,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         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)
method cal_angle(self, other: Line3) -> AnyAngle ​
説明: 计算直线和直线之间的夹角。
變數説明:
  • other: 另一条直线
返回: 夹角弧度
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
+    return self.is_approx_parallel(other, epsilon) and (self.point - other.point).is_approx_parallel(self.direction, epsilon)
method cal_angle(self, other: Line3) -> AnyAngle ​
説明: 计算直线和直线之间的夹角。
變數説明:
  • other: 另一条直线
返回: 夹角弧度
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
     """
         计算直线和直线之间的夹角。
         Args:
@@ -25,7 +25,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Raises:
             TypeError: 不支持的类型
         """
-    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
説明: 计算直线和直线或点之间的距离。
變數説明:
  • other: 平行直线或点
返回: 距离
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
+    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
説明: 计算直线和直线或点之间的距离。
變數説明:
  • other: 平行直线或点
返回: 距离
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
     """
         计算直线和直线或点之间的距离。
         Args:
@@ -48,7 +48,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif isinstance(other, Point3):
         return (other - self.point).cross(self.direction).length / self.direction.length
     else:
-        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
説明: 计算两条直线的交点。
變數説明:
  • other: 另一条直线
返回: 交点
抛出:
  • ValueError 直线平行
  • ValueError 直线不共面
源碼
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
+        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
説明: 计算两条直线的交点。
變數説明:
  • other: 另一条直线
返回: 交点
抛出:
  • ValueError 直线平行
  • ValueError 直线不共面
源碼
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
     """
         计算两条直线的交点。
         Args:
@@ -63,7 +63,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         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
method cal_perpendicular(self, point: Point3) -> Line3 ​
説明: 计算直线经过指定点p的垂线。
變數説明:
  • point: 指定点
返回: 垂线
源碼
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
+    return self.point + self.direction.cross(other.direction) @ other.direction.cross(self.point - other.point) / self.direction.cross(other.direction).length ** 2 * self.direction
method cal_perpendicular(self, point: Point3) -> Line3 ​
説明: 计算直线经过指定点p的垂线。
變數説明:
  • point: 指定点
返回: 垂线
源碼
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
     """
         计算直线经过指定点p的垂线。
         Args:
@@ -71,7 +71,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             垂线
         """
-    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
説明: 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。
變數説明:
  • t: 参数t
返回: 点
源碼
python
def get_point(self, t: RealNumber) -> 'Point3':
+    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
説明: 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。
變數説明:
  • t: 参数t
返回: 点
源碼
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:
@@ -79,13 +79,13 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             点
         """
-    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
説明: 获取直线的参数方程。
返回: x(t), y(t), z(t)
源碼
python
def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:
+    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
説明: 获取直线的参数方程。
返回: x(t), y(t), z(t)
源碼
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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
説明: 判断两条直线是否近似平行。
變數説明:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似平行
源碼
python
def is_approx_parallel(self, other: 'Line3', epsilon: float=1e-06) -> bool:
+    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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
説明: 判断两条直线是否近似平行。
變數説明:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似平行
源碼
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:
@@ -94,7 +94,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否近似平行
         """
-    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
説明: 判断两条直线是否平行。
變數説明:
  • other: 另一条直线
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Line3') -> bool:
+    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
説明: 判断两条直线是否平行。
變數説明:
  • other: 另一条直线
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Line3') -> bool:
     """
         判断两条直线是否平行。
         Args:
@@ -102,7 +102,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否平行
         """
-    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
説明: 判断两条直线是否共线。
變數説明:
  • other: 另一条直线
返回: 是否共线
源碼
python
def is_collinear(self, other: 'Line3') -> bool:
+    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
説明: 判断两条直线是否共线。
變數説明:
  • other: 另一条直线
返回: 是否共线
源碼
python
def is_collinear(self, other: 'Line3') -> bool:
     """
         判断两条直线是否共线。
         Args:
@@ -110,7 +110,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否共线
         """
-    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
説明: 判断点是否在直线上。
變數説明:
  • point: 点
返回: 是否在直线上
源碼
python
def is_point_on(self, point: 'Point3') -> bool:
+    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
説明: 判断点是否在直线上。
變數説明:
  • point: 点
返回: 是否在直线上
源碼
python
def is_point_on(self, point: 'Point3') -> bool:
     """
         判断点是否在直线上。
         Args:
@@ -118,7 +118,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否在直线上
         """
-    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
説明: 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。
變數説明:
  • other: 另一条直线
返回: 是否共面
源碼
python
def is_coplanar(self, other: 'Line3') -> bool:
+    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
説明: 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。
變數説明:
  • other: 另一条直线
返回: 是否共面
源碼
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。
@@ -127,7 +127,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
             是否共面
         """
-    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
説明: 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
源碼
python
def simplify(self):
+    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
説明: 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
源碼
python
def simplify(self):
     """
         简化直线方程，等价相等。
         自体简化，不返回值。
@@ -140,7 +140,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     if self.direction.y == 0:
         self.point.y = 0
     if self.direction.z == 0:
-        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
説明: 工厂函数 由两点构造直线。
變數説明:
  • p1: 点1
  • p2: 点2
返回: 直线
源碼
python
@classmethod
+        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
説明: 工厂函数 由两点构造直线。
變數説明:
  • p1: 点1
  • p2: 点2
返回: 直线
源碼
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     """
         工厂函数 由两点构造直线。
@@ -151,7 +151,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
             直线
         """
     direction = p2 - p1
-    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
説明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
變數説明:
  • other: 另一条直线
返回: 交点
源碼
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
説明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
變數説明:
  • other: 另一条直线
返回: 交点
源碼
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     """
         计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
         Args:
@@ -164,7 +164,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif self.is_parallel(other) or not self.is_coplanar(other):
         return None
     else:
-        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
説明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
變數説明:
  • other:
源碼
python
def __eq__(self, other) -> bool:
+        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
説明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
變數説明:
  • other:
源碼
python
def __eq__(self, other) -> bool:
     """
         判断两条直线是否等价。
 
@@ -175,4 +175,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
`,105),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default};
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
`,107),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_line.md.DYC1X0oD.lean.js b/assets/zht_api_mp_math_line.md.D3xPFA2p.lean.js similarity index 57% rename from assets/zht_api_mp_math_line.md.DYC1X0oD.lean.js rename to assets/zht_api_mp_math_line.md.D3xPFA2p.lean.js index 3bb8bdc..3eb33da 100644 --- a/assets/zht_api_mp_math_line.md.DYC1X0oD.lean.js +++ b/assets/zht_api_mp_math_line.md.D3xPFA2p.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"zht/api/mp_math/line.md","filePath":"zht/api/mp_math/line.md"}'),t={name:"zht/api/mp_math/line.md"},l=n("",105),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line"},"headers":[],"relativePath":"zht/api/mp_math/line.md","filePath":"zht/api/mp_math/line.md"}'),t={name:"zht/api/mp_math/line.md"},l=n("",107),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_mp_math_typing.md.DLx0IibM.js b/assets/zht_api_mp_math_mp_math_typing.md.DLx0IibM.js deleted file mode 100644 index 0bee4c3..0000000 --- a/assets/zht_api_mp_math_mp_math_typing.md.DLx0IibM.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.BV61Qrc0.js";const p=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"zht/api/mp_math/mp_math_typing.md","filePath":"zht/api/mp_math/mp_math_typing.md"}'),n={name:"zht/api/mp_math/mp_math_typing.md"},o=l('

var RealNumber = int | float ​

  • 類型: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • 類型: TypeAlias

  • 説明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 説明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 類型: TypeAlias

  • 説明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 類型: TypeAlias

  • 説明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 類型: TypeAlias

  • 説明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 類型: TypeAlias

  • 説明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • 類型: TypeAlias

  • 説明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 類型: TypeAlias

  • 説明: 多元函数

',34),i=[o];function t(s,c,u,g,v,d){return e(),r("div",null,i)}const m=a(n,[["render",t]]);export{p as __pageData,m as default}; diff --git a/assets/zht_api_mp_math_mp_math_typing.md.DLx0IibM.lean.js b/assets/zht_api_mp_math_mp_math_typing.md.DLx0IibM.lean.js deleted file mode 100644 index d10717e..0000000 --- a/assets/zht_api_mp_math_mp_math_typing.md.DLx0IibM.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.BV61Qrc0.js";const p=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"zht/api/mp_math/mp_math_typing.md","filePath":"zht/api/mp_math/mp_math_typing.md"}'),n={name:"zht/api/mp_math/mp_math_typing.md"},o=l("",34),i=[o];function t(s,c,u,g,v,d){return e(),r("div",null,i)}const m=a(n,[["render",t]]);export{p as __pageData,m as default}; diff --git a/assets/zht_api_mp_math_mp_math_typing.md.DTY2F-6g.js b/assets/zht_api_mp_math_mp_math_typing.md.DTY2F-6g.js new file mode 100644 index 0000000..0c66e9b --- /dev/null +++ b/assets/zht_api_mp_math_mp_math_typing.md.DTY2F-6g.js @@ -0,0 +1 @@ +import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.C94oF1kp.js";const p=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"zht/api/mp_math/mp_math_typing.md","filePath":"zht/api/mp_math/mp_math_typing.md"}'),n={name:"zht/api/mp_math/mp_math_typing.md"},o=l('

mbcp.mp_math.mp_math_typing ​

説明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • 類型: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • 類型: TypeAlias

  • 説明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 説明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 類型: TypeAlias

  • 説明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 類型: TypeAlias

  • 説明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 類型: TypeAlias

  • 説明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 類型: TypeAlias

  • 説明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • 類型: TypeAlias

  • 説明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 類型: TypeAlias

  • 説明: 多元函数

',36),i=[o];function t(c,s,u,d,g,v){return e(),r("div",null,i)}const y=a(n,[["render",t]]);export{p as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_mp_math_typing.md.DTY2F-6g.lean.js b/assets/zht_api_mp_math_mp_math_typing.md.DTY2F-6g.lean.js new file mode 100644 index 0000000..50190ed --- /dev/null +++ b/assets/zht_api_mp_math_mp_math_typing.md.DTY2F-6g.lean.js @@ -0,0 +1 @@ +import{_ as a,c as r,o as e,a2 as l}from"./chunks/framework.C94oF1kp.js";const p=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing"},"headers":[],"relativePath":"zht/api/mp_math/mp_math_typing.md","filePath":"zht/api/mp_math/mp_math_typing.md"}'),n={name:"zht/api/mp_math/mp_math_typing.md"},o=l("",36),i=[o];function t(c,s,u,d,g,v){return e(),r("div",null,i)}const y=a(n,[["render",t]]);export{p as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_plane.md.B6GWRRF6.js b/assets/zht_api_mp_math_plane.md.DAAO1c38.js similarity index 93% rename from assets/zht_api_mp_math_plane.md.B6GWRRF6.js rename to assets/zht_api_mp_math_plane.md.DAAO1c38.js index 592fc51..5b08a4e 100644 --- a/assets/zht_api_mp_math_plane.md.B6GWRRF6.js +++ b/assets/zht_api_mp_math_plane.md.DAAO1c38.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"zht/api/mp_math/plane.md","filePath":"zht/api/mp_math/plane.md"}'),l={name:"zht/api/mp_math/plane.md"},h=n(`

class Plane3 ​

method __init__(self, a: float, b: float, c: float, d: float) ​

説明: 平面方程：ax + by + cz + d = 0

變數説明:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源碼
python
def __init__(self, a: float, b: float, c: float, d: float):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"zht/api/mp_math/plane.md","filePath":"zht/api/mp_math/plane.md"}'),l={name:"zht/api/mp_math/plane.md"},h=n(`
mbcp.mp_math.plane ​
説明: 本模块定义了三维空间中的平面类
class Plane3 ​
method __init__(self, a: float, b: float, c: float, d: float) ​
説明: 平面方程：ax + by + cz + d = 0
變數説明:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源碼
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -10,7 +10,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     self.a = a
     self.b = b
     self.c = c
-    self.d = d
method approx(self, other: Plane3) -> bool ​
説明: 判断两个平面是否近似相等。
變數説明:
  • other: 另一个平面
返回: 是否近似相等
源碼
python
def approx(self, other: 'Plane3') -> bool:
+    self.d = d
method approx(self, other: Plane3) -> bool ​
説明: 判断两个平面是否近似相等。
變數説明:
  • other: 另一个平面
返回: 是否近似相等
源碼
python
def approx(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否近似相等。
         Args:
@@ -28,7 +28,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
説明: 计算平面与平面之间的夹角。
變數説明:
  • other: 另一个平面
返回: 夹角弧度
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
+        return False
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
説明: 计算平面与平面之间的夹角。
變數説明:
  • other: 另一个平面
返回: 夹角弧度
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     """
         计算平面与平面之间的夹角。
         Args:
@@ -43,7 +43,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
説明: 计算平面与平面或点之间的距离。
變數説明:
  • other: 另一个平面或点
返回: 距离
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
説明: 计算平面与平面或点之间的距离。
變數説明:
  • other: 另一个平面或点
返回: 距离
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
     """
         计算平面与平面或点之间的距离。
         Args:
@@ -58,7 +58,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
説明: 计算两平面的交线。
變數説明:
  • other: 另一个平面
返回: 两平面的交线
源碼
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
説明: 计算两平面的交线。
變數説明:
  • other: 另一个平面
返回: 两平面的交线
源碼
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     """
         计算两平面的交线。
         Args:
@@ -83,7 +83,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
説明: 计算平面与直线的交点。
變數説明:
  • other: 不与平面平行或在平面上的直线
返回: 交点
抛出:
  • ValueError 平面与直线平行或重合
源碼
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
+    return Line3(Point3(x, y, z), direction)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
説明: 计算平面与直线的交点。
變數説明:
  • other: 不与平面平行或在平面上的直线
返回: 交点
抛出:
  • ValueError 平面与直线平行或重合
源碼
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
     """
         计算平面与直线的交点。
         Args:
@@ -97,7 +97,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         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))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
説明: 计算平行于该平面且过指定点的平面。
變數説明:
  • point: 指定点
返回: 所求平面
源碼
python
def cal_parallel_plane3(self, point: 'Point3') -> 'Plane3':
+    return Point3(x(t), y(t), z(t))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
説明: 计算平行于该平面且过指定点的平面。
變數説明:
  • point: 指定点
返回: 所求平面
源碼
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:
@@ -105,7 +105,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             所求平面
         """
-    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
説明: 判断两个平面是否平行。
變數説明:
  • other: 另一个平面
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Plane3') -> bool:
+    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
説明: 判断两个平面是否平行。
變數説明:
  • other: 另一个平面
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否平行。
         Args:
@@ -113,14 +113,14 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             是否平行
         """
-    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
説明: 平面的法向量。
返回: 法向量
源碼
python
@property
+    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
説明: 平面的法向量。
返回: 法向量
源碼
python
@property
 def normal(self) -> 'Vector3':
     """
         平面的法向量。
         Returns:
             法向量
         """
-    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
説明: 工厂函数 由点和法向量构造平面(点法式构造)。
變數説明:
  • point: 平面上的一点
  • normal: 法向量
返回: 平面
源碼
python
@classmethod
+    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
説明: 工厂函数 由点和法向量构造平面(点法式构造)。
變數説明:
  • point: 平面上的一点
  • normal: 法向量
返回: 平面
源碼
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)。
@@ -132,7 +132,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         """
     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)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
説明: 工厂函数 由三点构造平面。
變數説明:
  • p1: 点1
  • p2: 点2
  • p3: 点3
返回: 平面
源碼
python
@classmethod
+    return cls(a, b, c, d)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
説明: 工厂函数 由三点构造平面。
變數説明:
  • p1: 点1
  • p2: 点2
  • p3: 点3
返回: 平面
源碼
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。
@@ -146,7 +146,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     v1 = p2 - p1
     v2 = p3 - p1
     normal = v1.cross(v2)
-    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
説明: 工厂函数 由两直线构造平面。
變數説明:
  • l1: 直线1
  • l2: 直线2
返回: 平面
源碼
python
@classmethod
+    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
説明: 工厂函数 由两直线构造平面。
變數説明:
  • l1: 直线1
  • l2: 直线2
返回: 平面
源碼
python
@classmethod
 def from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3':
     """
         工厂函数 由两直线构造平面。
@@ -160,7 +160,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
     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))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
説明: 工厂函数 由点和直线构造平面。
變數説明:
  • point: 面上一点
  • line: 面上直线，不包含点
返回: 平面
源碼
python
@classmethod
+    return cls.from_point_and_normal(l1.point, v1.cross(v2))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
説明: 工厂函数 由点和直线构造平面。
變數説明:
  • point: 面上一点
  • line: 面上直线，不包含点
返回: 平面
源碼
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。
@@ -170,11 +170,11 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
         Returns:
             平面
         """
-    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
源碼
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
源碼
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
源碼
python
@overload
+    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
源碼
python
@overload
 def __and__(self, other: 'Plane3') -> 'Line3 | None':
-    ...
method __and__(self, other) ​
説明: 取两平面的交集（人话：交线）
變數説明:
  • other:
返回: 不平行平面的交线，平面平行返回None
源碼
python
def __and__(self, other):
+    ...
method __and__(self, other) ​
説明: 取两平面的交集（人话：交线）
變數説明:
  • other:
返回: 不平行平面的交线，平面平行返回None
源碼
python
def __and__(self, other):
     """
         取两平面的交集（人话：交线）
         Args:
@@ -191,6 +191,6 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F
             return None
         return self.cal_intersection_point3(other)
     else:
-        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
源碼
python
def __eq__(self, other) -> bool:
-    return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
源碼
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
`,103),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default};
+        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

源碼
python
def __eq__(self, other) -> bool:
+    return self.approx(other)

method __rand__(self, other: Line3) -> Point3 ​

源碼
python
def __rand__(self, other: 'Line3') -> 'Point3':
+    return self.cal_intersection_point3(other)
`,105),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_plane.md.B6GWRRF6.lean.js b/assets/zht_api_mp_math_plane.md.DAAO1c38.lean.js similarity index 57% rename from assets/zht_api_mp_math_plane.md.B6GWRRF6.lean.js rename to assets/zht_api_mp_math_plane.md.DAAO1c38.lean.js index 9765112..b658e1c 100644 --- a/assets/zht_api_mp_math_plane.md.B6GWRRF6.lean.js +++ b/assets/zht_api_mp_math_plane.md.DAAO1c38.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"zht/api/mp_math/plane.md","filePath":"zht/api/mp_math/plane.md"}'),l={name:"zht/api/mp_math/plane.md"},h=n("",103),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane"},"headers":[],"relativePath":"zht/api/mp_math/plane.md","filePath":"zht/api/mp_math/plane.md"}'),l={name:"zht/api/mp_math/plane.md"},h=n("",105),t=[h];function p(k,e,r,d,E,o){return a(),i("div",null,t)}const y=s(l,[["render",p]]);export{F as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_point.md.Bm1IEwlI.lean.js b/assets/zht_api_mp_math_point.md.Bm1IEwlI.lean.js deleted file mode 100644 index 606cff7..0000000 --- a/assets/zht_api_mp_math_point.md.Bm1IEwlI.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"zht/api/mp_math/point.md","filePath":"zht/api/mp_math/point.md"}'),n={name:"zht/api/mp_math/point.md"},l=t("",34),h=[l];function e(p,k,o,r,d,E){return a(),i("div",null,h)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/zht_api_mp_math_point.md.Bm1IEwlI.js b/assets/zht_api_mp_math_point.md.CK50W0JG.js similarity index 84% rename from assets/zht_api_mp_math_point.md.Bm1IEwlI.js rename to assets/zht_api_mp_math_point.md.CK50W0JG.js index 52ae783..36ee763 100644 --- a/assets/zht_api_mp_math_point.md.Bm1IEwlI.js +++ b/assets/zht_api_mp_math_point.md.CK50W0JG.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"zht/api/mp_math/point.md","filePath":"zht/api/mp_math/point.md"}'),n={name:"zht/api/mp_math/point.md"},l=t(`

class Point3 ​

method __init__(self, x: float, y: float, z: float) ​

説明: 笛卡尔坐标系中的点。

變數説明:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源碼
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"zht/api/mp_math/point.md","filePath":"zht/api/mp_math/point.md"}'),n={name:"zht/api/mp_math/point.md"},h=t(`
mbcp.mp_math.point ​
説明: 本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
變數説明:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源碼
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -8,7 +8,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
説明: 判断两个点是否近似相等。
變數説明:
  • other:
  • epsilon:
返回: 是否近似相等
源碼
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
説明: 判断两个点是否近似相等。
變數説明:
  • other:
  • epsilon:
返回: 是否近似相等
源碼
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
     """
         判断两个点是否近似相等。
         Args:
@@ -18,11 +18,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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])
@overload ​
method self + other: Vector3 => Point3 ​
源碼
python
@overload
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
@overload ​
method self + other: Vector3 => Point3 ​
源碼
python
@overload
 def __add__(self, other: 'Vector3') -> 'Point3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
源碼
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
源碼
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
説明: P + V -> P P + P -> P
變數説明:
  • other:
源碼
python
def __add__(self, other):
+    ...
method self + other ​
説明: P + V -> P P + P -> P
變數説明:
  • other:
源碼
python
def __add__(self, other):
     """
         P + V -> P
         P + P -> P
@@ -30,14 +30,14 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
             other:
         Returns:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
説明: 判断两个点是否相等。
變數説明:
  • other:
源碼
python
def __eq__(self, other):
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
説明: 判断两个点是否相等。
變數説明:
  • other:
源碼
python
def __eq__(self, other):
     """
         判断两个点是否相等。
         Args:
             other:
         Returns:
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
説明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
變數説明:
  • other:
源碼
python
def __sub__(self, other: 'Point3') -> 'Vector3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
説明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
變數説明:
  • other:
源碼
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     """
         P - P -> V
 
@@ -48,4 +48,4 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,34),h=[l];function e(p,k,o,r,d,E){return a(),i("div",null,h)}const F=s(n,[["render",e]]);export{y as __pageData,F as default};
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,36),l=[h];function e(p,k,o,r,d,E){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/zht_api_mp_math_point.md.CK50W0JG.lean.js b/assets/zht_api_mp_math_point.md.CK50W0JG.lean.js new file mode 100644 index 0000000..a3b770a --- /dev/null +++ b/assets/zht_api_mp_math_point.md.CK50W0JG.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point"},"headers":[],"relativePath":"zht/api/mp_math/point.md","filePath":"zht/api/mp_math/point.md"}'),n={name:"zht/api/mp_math/point.md"},h=t("",36),l=[h];function e(p,k,o,r,d,E){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/zht_api_mp_math_segment.md.Bop8t2IE.js b/assets/zht_api_mp_math_segment.md.BK0QQket.js similarity index 70% rename from assets/zht_api_mp_math_segment.md.Bop8t2IE.js rename to assets/zht_api_mp_math_segment.md.BK0QQket.js index 69a3d5c..e5587a9 100644 --- a/assets/zht_api_mp_math_segment.md.Bop8t2IE.js +++ b/assets/zht_api_mp_math_segment.md.BK0QQket.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"zht/api/mp_math/segment.md","filePath":"zht/api/mp_math/segment.md"}'),t={name:"zht/api/mp_math/segment.md"},h=n(`

class Segment3 ​

method __init__(self, p1: Point3, p2: Point3) ​

説明: 三维空间中的线段。 :param p1: :param p2:

源碼
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"zht/api/mp_math/segment.md","filePath":"zht/api/mp_math/segment.md"}'),t={name:"zht/api/mp_math/segment.md"},h=n(`
mbcp.mp_math.segment ​
説明: 本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。 :param p1: :param p2:
源碼
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -11,4 +11,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o
     '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)
`,4),p=[h];function l(k,e,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{o as __pageData,y as default};
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,6),p=[h];function l(e,k,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{F as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_segment.md.BK0QQket.lean.js b/assets/zht_api_mp_math_segment.md.BK0QQket.lean.js new file mode 100644 index 0000000..10f6519 --- /dev/null +++ b/assets/zht_api_mp_math_segment.md.BK0QQket.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"zht/api/mp_math/segment.md","filePath":"zht/api/mp_math/segment.md"}'),t={name:"zht/api/mp_math/segment.md"},h=n("",6),p=[h];function l(e,k,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{F as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_segment.md.Bop8t2IE.lean.js b/assets/zht_api_mp_math_segment.md.Bop8t2IE.lean.js deleted file mode 100644 index 8f983aa..0000000 --- a/assets/zht_api_mp_math_segment.md.Bop8t2IE.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment"},"headers":[],"relativePath":"zht/api/mp_math/segment.md","filePath":"zht/api/mp_math/segment.md"}'),t={name:"zht/api/mp_math/segment.md"},h=n("",4),p=[h];function l(k,e,r,d,E,g){return a(),i("div",null,p)}const y=s(t,[["render",l]]);export{o as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_utils.md.CERv8c-M.js b/assets/zht_api_mp_math_utils.md.BQrrPf8T.js similarity index 66% rename from assets/zht_api_mp_math_utils.md.CERv8c-M.js rename to assets/zht_api_mp_math_utils.md.BQrrPf8T.js index 2f7a9f6..1627c9c 100644 --- a/assets/zht_api_mp_math_utils.md.CERv8c-M.js +++ b/assets/zht_api_mp_math_utils.md.BQrrPf8T.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"zht/api/mp_math/utils.md","filePath":"zht/api/mp_math/utils.md"}'),t={name:"zht/api/mp_math/utils.md"},l=n(`

func clamp() -> float ​

説明: 区间限定函数

變數説明:

  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值

返回: 限制后的值

源碼
python
def clamp(x: float, min_: float, max_: float) -> float:
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"zht/api/mp_math/utils.md","filePath":"zht/api/mp_math/utils.md"}'),t={name:"zht/api/mp_math/utils.md"},l=n(`
mbcp.mp_math.utils ​
説明: 本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
變數説明:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
返回: 限制后的值
源碼
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -9,7 +9,20 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     Returns:
         限制后的值
     """
-    return max(min(x, max_), min_)
func approx(x: float = 0.0, y: float = APPROX) -> bool ​
説明: 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。
變數説明:
  • x: 数1
  • y: 数2
  • epsilon: 误差
返回: 是否近似相等
源碼
python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
+    return max(min(x, max_), min_)
class Approx ​
method __init__(self, value: RealNumber) ​
源碼
python
def __init__(self, value: RealNumber):
+    self.value = value
method __eq__(self, other) ​
源碼
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) ​
源碼
python
def raise_type_error(self, other):
+    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
源碼
python
def __ne__(self, other):
+    return not self.__eq__(other)
func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool ​
説明: 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。
變數説明:
  • x: 数1
  • y: 数2
  • epsilon: 误差
返回: 是否近似相等
源碼
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:
@@ -19,7 +32,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     Returns:
         是否近似相等
     """
-    return abs(x - y) < epsilon
func sign(x: float = False) -> str ​
説明: 获取数的符号。
變數説明:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源碼
python
def sign(x: float, only_neg: bool=False) -> str:
+    return abs(x - y) < epsilon
func sign(x: float, only_neg: bool = False) -> str ​
説明: 获取数的符号。
變數説明:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源碼
python
def sign(x: float, only_neg: bool=False) -> str:
     """获取数的符号。
     Args:
         x: 数
@@ -32,7 +45,7 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif x < 0:
         return '-'
     else:
-        return ''
func sign_format(x: float = False) -> str ​
説明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
變數説明:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源碼
python
def sign_format(x: float, only_neg: bool=False) -> str:
+        return ''
func sign_format(x: float, only_neg: bool = False) -> str ​
説明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
變數説明:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源碼
python
def sign_format(x: float, only_neg: bool=False) -> str:
     """格式化符号数
     -1 -> -1
     1 -> +1
@@ -48,17 +61,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
class Approx ​
method __init__(self, value: RealNumber) ​
源碼
python
def __init__(self, value: RealNumber):
-    self.value = value
method __eq__(self, other) ​
源碼
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) ​
源碼
python
def raise_type_error(self, other):
-    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
源碼
python
def __ne__(self, other):
-    return not self.__eq__(other)
`,33),h=[l];function p(k,e,r,d,o,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default};
+        return ''
`,35),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_utils.md.CERv8c-M.lean.js b/assets/zht_api_mp_math_utils.md.BQrrPf8T.lean.js similarity index 57% rename from assets/zht_api_mp_math_utils.md.CERv8c-M.lean.js rename to assets/zht_api_mp_math_utils.md.BQrrPf8T.lean.js index 2a6f2c3..b89db5c 100644 --- a/assets/zht_api_mp_math_utils.md.CERv8c-M.lean.js +++ b/assets/zht_api_mp_math_utils.md.BQrrPf8T.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"zht/api/mp_math/utils.md","filePath":"zht/api/mp_math/utils.md"}'),t={name:"zht/api/mp_math/utils.md"},l=n("",33),h=[l];function p(k,e,r,d,o,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const E=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils"},"headers":[],"relativePath":"zht/api/mp_math/utils.md","filePath":"zht/api/mp_math/utils.md"}'),t={name:"zht/api/mp_math/utils.md"},l=n("",35),h=[l];function p(e,k,r,o,d,g){return a(),i("div",null,h)}const y=s(t,[["render",p]]);export{E as __pageData,y as default}; diff --git a/assets/zht_api_mp_math_vector.md.BTWxlpB1.js b/assets/zht_api_mp_math_vector.md.CtYckwOL.js similarity index 90% rename from assets/zht_api_mp_math_vector.md.BTWxlpB1.js rename to assets/zht_api_mp_math_vector.md.CtYckwOL.js index 6306e26..574aa63 100644 --- a/assets/zht_api_mp_math_vector.md.BTWxlpB1.js +++ b/assets/zht_api_mp_math_vector.md.CtYckwOL.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"zht/api/mp_math/vector.md","filePath":"zht/api/mp_math/vector.md"}'),n={name:"zht/api/mp_math/vector.md"},h=t(`

class Vector3 ​

method __init__(self, x: float, y: float, z: float) ​

説明: 3维向量

變數説明:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源碼
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"zht/api/mp_math/vector.md","filePath":"zht/api/mp_math/vector.md"}'),n={name:"zht/api/mp_math/vector.md"},h=t(`
mbcp.mp_math.vector ​
説明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
變數説明:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源碼
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -8,7 +8,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似相等。
變數説明:
  • other:
  • epsilon:
返回: 是否近似相等
源碼
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似相等。
變數説明:
  • other:
  • epsilon:
返回: 是否近似相等
源碼
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
     """
         判断两个向量是否近似相等。
         Args:
@@ -18,7 +18,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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])
method cal_angle(self, other: Vector3) -> AnyAngle ​
説明: 计算两个向量之间的夹角。
變數説明:
  • other: 另一个向量
返回: 夹角
源碼
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
method cal_angle(self, other: Vector3) -> AnyAngle ​
説明: 计算两个向量之间的夹角。
變數説明:
  • other: 另一个向量
返回: 夹角
源碼
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
     """
         计算两个向量之间的夹角。
         Args:
@@ -26,7 +26,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             夹角
         """
-    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
説明: 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。
變數説明:
  • other:
返回: 行列式的结果
源碼
python
def cross(self, other: 'Vector3') -> 'Vector3':
+    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
説明: 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。
變數説明:
  • other:
返回: 行列式的结果
源碼
python
def cross(self, other: 'Vector3') -> 'Vector3':
     """
         向量积 叉乘：v1 cross v2 -> v3
 
@@ -46,7 +46,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似平行。
變數説明:
  • other: 另一个向量
  • epsilon: 允许的误差
返回: 是否近似平行
源碼
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似平行。
變數説明:
  • other: 另一个向量
  • epsilon: 允许的误差
返回: 是否近似平行
源碼
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:
@@ -55,7 +55,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否近似平行
         """
-    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
説明: 判断两个向量是否平行。
變數説明:
  • other: 另一个向量
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Vector3') -> bool:
+    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
説明: 判断两个向量是否平行。
變數説明:
  • other: 另一个向量
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Vector3') -> bool:
     """
         判断两个向量是否平行。
         Args:
@@ -63,7 +63,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否平行
         """
-    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
説明: 将向量归一化。
自体归一化，不返回值。
源碼
python
def normalize(self):
+    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
説明: 将向量归一化。
自体归一化，不返回值。
源碼
python
def normalize(self):
     """
         将向量归一化。
 
@@ -72,32 +72,32 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     length = self.length
     self.x /= length
     self.y /= length
-    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
源碼
python
@property
+    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
源碼
python
@property
 def np_array(self) -> 'np.ndarray':
     """
         返回numpy数组
         Returns:
         """
-    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
説明: 向量的模。
返回: 模
源碼
python
@property
+    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
説明: 向量的模。
返回: 模
源碼
python
@property
 def length(self) -> float:
     """
         向量的模。
         Returns:
             模
         """
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
説明: 获取该向量的单位向量。
返回: 单位向量
源碼
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
説明: 获取该向量的单位向量。
返回: 单位向量
源碼
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
method __abs__(self) ​
源碼
python
def __abs__(self):
-    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
源碼
python
@overload
+    return self / self.length
method __abs__(self) ​
源碼
python
def __abs__(self):
+    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
源碼
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
源碼
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
源碼
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
説明: V + P -> P
V + V -> V
變數説明:
  • other:
源碼
python
def __add__(self, other):
+    ...
method self + other ​
説明: V + P -> P
V + V -> V
變數説明:
  • other:
源碼
python
def __add__(self, other):
     """
         V + P -> P
 
@@ -112,7 +112,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
説明: 判断两个向量是否相等。
變數説明:
  • other:
返回: 是否相等
源碼
python
def __eq__(self, other):
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
説明: 判断两个向量是否相等。
變數説明:
  • other:
返回: 是否相等
源碼
python
def __eq__(self, other):
     """
         判断两个向量是否相等。
         Args:
@@ -120,7 +120,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         Returns:
             是否相等
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
説明: P + V -> P
别去点那边实现了。 :param other: :return:
源碼
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
説明: P + V -> P
别去点那边实现了。 :param other: :return:
源碼
python
def __radd__(self, other: 'Point3') -> 'Point3':
     """
         P + V -> P
 
@@ -128,11 +128,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
         :param other:
         :return:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
源碼
python
@overload
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
源碼
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self - other: Point3 => Point3 ​
源碼
python
@overload
+    ...
@overload ​
method self - other: Point3 => Point3 ​
源碼
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...
method self - other ​
説明: V - P -> P
V - V -> V
變數説明:
  • other:
源碼
python
def __sub__(self, other):
+    ...
method self - other ​
説明: V - P -> P
V - V -> V
變數説明:
  • other:
源碼
python
def __sub__(self, other):
     """
         V - P -> P
 
@@ -146,7 +146,7 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
説明: P - V -> P
變數説明:
  • other:
源碼
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
説明: P - V -> P
變數説明:
  • other:
源碼
python
def __rsub__(self, other: 'Point3'):
     """
         P - V -> P
         Args:
@@ -157,11 +157,11 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
源碼
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
源碼
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self * other: RealNumber => Vector3 ​
源碼
python
@overload
+    ...
@overload ​
method self * other: RealNumber => Vector3 ​
源碼
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...
method self * other: int | float | Vector3 => Vector3 ​
説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
變數説明:
  • other:
源碼
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...
method self * other: int | float | Vector3 => Vector3 ​
説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
變數説明:
  • other:
源碼
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     """
         数组运算 非点乘。点乘使用@，叉乘使用cross。
         Args:
@@ -174,14 +174,14 @@ import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
源碼
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
説明: 点乘。
變數説明:
  • other:
源碼
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
源碼
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
説明: 点乘。
變數説明:
  • other:
源碼
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
     """
         点乘。
         Args:
             other:
         Returns:
         """
-    return self.x * other.x + self.y * other.y + self.z * other.z
method self / other: RealNumber => Vector3 ​
源碼
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
-    return Vector3(self.x / other, self.y / other, self.z / other)
method - self ​
源碼
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • 類型: Vector3
  • 説明: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • 類型: Vector3
  • 説明: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • 類型: Vector3
  • 説明: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • 類型: Vector3
  • 説明: z轴单位向量
`,125),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default};
+    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

源碼
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
+    return Vector3(self.x / other, self.y / other, self.z / other)

method - self ​

源碼
python
def __neg__(self):
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • 類型: Vector3

  • 説明: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • 類型: Vector3

  • 説明: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • 類型: Vector3

  • 説明: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • 類型: Vector3

  • 説明: z轴单位向量

`,127),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/zht_api_mp_math_vector.md.BTWxlpB1.lean.js b/assets/zht_api_mp_math_vector.md.CtYckwOL.lean.js similarity index 57% rename from assets/zht_api_mp_math_vector.md.BTWxlpB1.lean.js rename to assets/zht_api_mp_math_vector.md.CtYckwOL.lean.js index 28e1cd9..9790731 100644 --- a/assets/zht_api_mp_math_vector.md.BTWxlpB1.lean.js +++ b/assets/zht_api_mp_math_vector.md.CtYckwOL.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"zht/api/mp_math/vector.md","filePath":"zht/api/mp_math/vector.md"}'),n={name:"zht/api/mp_math/vector.md"},h=t("",125),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; +import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector"},"headers":[],"relativePath":"zht/api/mp_math/vector.md","filePath":"zht/api/mp_math/vector.md"}'),n={name:"zht/api/mp_math/vector.md"},h=t("",127),l=[h];function e(p,k,r,o,d,g){return a(),i("div",null,l)}const F=s(n,[["render",e]]);export{y as __pageData,F as default}; diff --git a/assets/zht_api_particle_index.md.CljeoVXn.js b/assets/zht_api_particle_index.md.CljeoVXn.js new file mode 100644 index 0000000..6bce6c3 --- /dev/null +++ b/assets/zht_api_particle_index.md.CljeoVXn.js @@ -0,0 +1 @@ +import{_ as a,c,o as r,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","collapsed":true},"headers":[],"relativePath":"zht/api/particle/index.md","filePath":"zht/api/particle/index.md"}'),i={name:"zht/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[t("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),l=e("p",null,[e("strong",null,"説明"),t(": 本模块定义了粒子生成相关的工具")],-1),n=[p,l];function o(s,d,_,m,h,f){return r(),c("div",null,n)}const u=a(i,[["render",o]]);export{b as __pageData,u as default}; diff --git a/assets/zht_api_particle_index.md.CljeoVXn.lean.js b/assets/zht_api_particle_index.md.CljeoVXn.lean.js new file mode 100644 index 0000000..6bce6c3 --- /dev/null +++ b/assets/zht_api_particle_index.md.CljeoVXn.lean.js @@ -0,0 +1 @@ +import{_ as a,c,o as r,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","collapsed":true},"headers":[],"relativePath":"zht/api/particle/index.md","filePath":"zht/api/particle/index.md"}'),i={name:"zht/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[t("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),l=e("p",null,[e("strong",null,"説明"),t(": 本模块定义了粒子生成相关的工具")],-1),n=[p,l];function o(s,d,_,m,h,f){return r(),c("div",null,n)}const u=a(i,[["render",o]]);export{b as __pageData,u as default}; diff --git a/assets/zht_api_particle_index.md.kAm9VAEw.js b/assets/zht_api_particle_index.md.kAm9VAEw.js deleted file mode 100644 index 371e4b1..0000000 --- a/assets/zht_api_particle_index.md.kAm9VAEw.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"zht/api/particle/index.md","filePath":"zht/api/particle/index.md"}'),i={name:"zht/api/particle/index.md"};function r(c,p,n,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default}; diff --git a/assets/zht_api_particle_index.md.kAm9VAEw.lean.js b/assets/zht_api_particle_index.md.kAm9VAEw.lean.js deleted file mode 100644 index 371e4b1..0000000 --- a/assets/zht_api_particle_index.md.kAm9VAEw.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.BV61Qrc0.js";const m=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle"},"headers":[],"relativePath":"zht/api/particle/index.md","filePath":"zht/api/particle/index.md"}'),i={name:"zht/api/particle/index.md"};function r(c,p,n,o,s,d){return a(),t("div")}const _=e(i,[["render",r]]);export{m as __pageData,_ as default}; diff --git a/assets/zht_api_presets_index.md.BmouaEaT.js b/assets/zht_api_presets_index.md.BmouaEaT.js deleted file mode 100644 index 46ea01d..0000000 --- a/assets/zht_api_presets_index.md.BmouaEaT.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as s}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"zht/api/presets/index.md","filePath":"zht/api/presets/index.md"}'),a={name:"zht/api/presets/index.md"};function r(p,n,i,c,o,d){return s(),t("div")}const f=e(a,[["render",r]]);export{_ as __pageData,f as default}; diff --git a/assets/zht_api_presets_index.md.BmouaEaT.lean.js b/assets/zht_api_presets_index.md.BmouaEaT.lean.js deleted file mode 100644 index 46ea01d..0000000 --- a/assets/zht_api_presets_index.md.BmouaEaT.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as s}from"./chunks/framework.BV61Qrc0.js";const _=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets"},"headers":[],"relativePath":"zht/api/presets/index.md","filePath":"zht/api/presets/index.md"}'),a={name:"zht/api/presets/index.md"};function r(p,n,i,c,o,d){return s(),t("div")}const f=e(a,[["render",r]]);export{_ as __pageData,f as default}; diff --git a/assets/zht_api_presets_index.md.DEbOKiST.js b/assets/zht_api_presets_index.md.DEbOKiST.js new file mode 100644 index 0000000..7e0f5f8 --- /dev/null +++ b/assets/zht_api_presets_index.md.DEbOKiST.js @@ -0,0 +1 @@ +import{_ as s,c as a,o,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","collapsed":true},"headers":[],"relativePath":"zht/api/presets/index.md","filePath":"zht/api/presets/index.md"}'),r={name:"zht/api/presets/index.md"},i=e("h1",{id:"mbcp-presets",tabindex:"-1"},[t("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),n=e("p",null,[e("strong",null,"説明"),t(": Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved")],-1),p=e("p",null,[t("@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : "),e("a",{href:"mailto:snowykami@outlook.com",target:"_blank",rel:"noreferrer"},"snowykami@outlook.com"),t(" @File : "),e("strong",null,"init"),t(".py @Software: PyCharm")],-1),l=[i,n,p];function c(d,m,h,_,u,f){return o(),a("div",null,l)}const x=s(r,[["render",c]]);export{b as __pageData,x as default}; diff --git a/assets/zht_api_presets_index.md.DEbOKiST.lean.js b/assets/zht_api_presets_index.md.DEbOKiST.lean.js new file mode 100644 index 0000000..7e0f5f8 --- /dev/null +++ b/assets/zht_api_presets_index.md.DEbOKiST.lean.js @@ -0,0 +1 @@ +import{_ as s,c as a,o,j as e,a as t}from"./chunks/framework.C94oF1kp.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","collapsed":true},"headers":[],"relativePath":"zht/api/presets/index.md","filePath":"zht/api/presets/index.md"}'),r={name:"zht/api/presets/index.md"},i=e("h1",{id:"mbcp-presets",tabindex:"-1"},[t("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),n=e("p",null,[e("strong",null,"説明"),t(": Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved")],-1),p=e("p",null,[t("@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : "),e("a",{href:"mailto:snowykami@outlook.com",target:"_blank",rel:"noreferrer"},"snowykami@outlook.com"),t(" @File : "),e("strong",null,"init"),t(".py @Software: PyCharm")],-1),l=[i,n,p];function c(d,m,h,_,u,f){return o(),a("div",null,l)}const x=s(r,[["render",c]]);export{b as __pageData,x as default}; diff --git a/assets/en_api_presets_model_index.md.Cs8vON2C.js b/assets/zht_api_presets_model_index.md.3pGdZAT9.js similarity index 80% rename from assets/en_api_presets_model_index.md.Cs8vON2C.js rename to assets/zht_api_presets_model_index.md.3pGdZAT9.js index 9fd5731..b145c65 100644 --- a/assets/en_api_presets_model_index.md.Cs8vON2C.js +++ b/assets/zht_api_presets_model_index.md.3pGdZAT9.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"en/api/presets/model/index.md","filePath":"en/api/presets/model/index.md"}'),t={name:"en/api/presets/model/index.md"},h=n(`

class GeometricModels ​

@staticmethod ​

method sphere(radius: float, density: float) ​

Description: 生成球体上的点集。

Arguments:

  • radius:
  • density:

Return: List[Point3]: 球体上的点集。

Source code
python
@staticmethod
+import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","collapsed":true},"headers":[],"relativePath":"zht/api/presets/model/index.md","filePath":"zht/api/presets/model/index.md"}'),n={name:"zht/api/presets/model/index.md"},h=t(`
mbcp.presets.model ​
説明: 几何模型点集
class GeometricModels ​
@staticmethod ​
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
變數説明:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源碼
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -15,4 +15,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const y
     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)]
`,8),l=[h];function k(p,e,r,d,E,g){return a(),i("div",null,l)}const F=s(t,[["render",k]]);export{y as __pageData,F as default};
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
`,10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default}; diff --git a/assets/zht_api_presets_model_index.md.3pGdZAT9.lean.js b/assets/zht_api_presets_model_index.md.3pGdZAT9.lean.js new file mode 100644 index 0000000..bb959e6 --- /dev/null +++ b/assets/zht_api_presets_model_index.md.3pGdZAT9.lean.js @@ -0,0 +1 @@ +import{_ as s,c as i,o as a,a2 as t}from"./chunks/framework.C94oF1kp.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","collapsed":true},"headers":[],"relativePath":"zht/api/presets/model/index.md","filePath":"zht/api/presets/model/index.md"}'),n={name:"zht/api/presets/model/index.md"},h=t("",10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default}; diff --git a/assets/zht_api_presets_model_index.md.SQ5PPdaL.lean.js b/assets/zht_api_presets_model_index.md.SQ5PPdaL.lean.js deleted file mode 100644 index 6adfabc..0000000 --- a/assets/zht_api_presets_model_index.md.SQ5PPdaL.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.BV61Qrc0.js";const o=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model"},"headers":[],"relativePath":"zht/api/presets/model/index.md","filePath":"zht/api/presets/model/index.md"}'),t={name:"zht/api/presets/model/index.md"},h=n("",8),l=[h];function k(p,e,r,d,E,g){return a(),i("div",null,l)}const F=s(t,[["render",k]]);export{o as __pageData,F as default}; diff --git a/assets/zht_guide_index.md.CsuFVFxu.js b/assets/zht_guide_index.md.CsuFVFxu.js new file mode 100644 index 0000000..f36f947 --- /dev/null +++ b/assets/zht_guide_index.md.CsuFVFxu.js @@ -0,0 +1 @@ +import{_ as T,c as e,j as t,a as s,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const H=JSON.parse('{"title":"开始不了一点","description":"","frontmatter":{},"headers":[],"relativePath":"zht/guide/index.md","filePath":"zht/guide/index.md"}'),n={name:"zht/guide/index.md"},Q=t("h1",{id:"开始不了一点",tabindex:"-1"},[s("开始不了一点 "),t("a",{class:"header-anchor",href:"#开始不了一点","aria-label":'Permalink to "开始不了一点"'},"​")],-1),l={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.771ex"},xmlns:"http://www.w3.org/2000/svg",width:"7.561ex",height:"3.042ex",role:"img",focusable:"false",viewBox:"0 -1003.5 3342.1 1344.3","aria-hidden":"true"},r=o('',1),i=[r],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("msubsup",null,[t("mo",{"data-mjx-texclass":"OP"},"∫"),t("mrow",{"data-mjx-texclass":"ORD"},[t("mn",null,"1")]),t("mrow",{"data-mjx-texclass":"ORD"},[t("mn",null,"2")])]),t("mi",null,"x"),t("mn",null,"111")])],-1);function c(h,p,x,_,g,u){return a(),e("div",null,[Q,t("p",null,[t("mjx-container",l,[(a(),e("svg",d,i)),m])])])}const w=T(n,[["render",c]]);export{H as __pageData,w as default}; diff --git a/assets/zht_guide_index.md.CsuFVFxu.lean.js b/assets/zht_guide_index.md.CsuFVFxu.lean.js new file mode 100644 index 0000000..2f76e4d --- /dev/null +++ b/assets/zht_guide_index.md.CsuFVFxu.lean.js @@ -0,0 +1 @@ +import{_ as T,c as e,j as t,a as s,o as a,a2 as o}from"./chunks/framework.C94oF1kp.js";const H=JSON.parse('{"title":"开始不了一点","description":"","frontmatter":{},"headers":[],"relativePath":"zht/guide/index.md","filePath":"zht/guide/index.md"}'),n={name:"zht/guide/index.md"},Q=t("h1",{id:"开始不了一点",tabindex:"-1"},[s("开始不了一点 "),t("a",{class:"header-anchor",href:"#开始不了一点","aria-label":'Permalink to "开始不了一点"'},"​")],-1),l={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.771ex"},xmlns:"http://www.w3.org/2000/svg",width:"7.561ex",height:"3.042ex",role:"img",focusable:"false",viewBox:"0 -1003.5 3342.1 1344.3","aria-hidden":"true"},r=o("",1),i=[r],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("msubsup",null,[t("mo",{"data-mjx-texclass":"OP"},"∫"),t("mrow",{"data-mjx-texclass":"ORD"},[t("mn",null,"1")]),t("mrow",{"data-mjx-texclass":"ORD"},[t("mn",null,"2")])]),t("mi",null,"x"),t("mn",null,"111")])],-1);function c(h,p,x,_,g,u){return a(),e("div",null,[Q,t("p",null,[t("mjx-container",l,[(a(),e("svg",d,i)),m])])])}const w=T(n,[["render",c]]);export{H as __pageData,w as default}; diff --git a/assets/zht_index.md.V9U3SwDR.js b/assets/zht_index.md.V9U3SwDR.js new file mode 100644 index 0000000..2b0bb84 --- /dev/null +++ b/assets/zht_index.md.V9U3SwDR.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a}from"./chunks/framework.C94oF1kp.js";const m=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"MBCP docs","text":"More basic change particle","tagline":"用於幾何運算和粒子製作的軟體庫","actions":[{"theme":"brand","text":"跟隨引導","link":"./guide/"},{"theme":"alt","text":"API文檔","link":"./api/"}]},"features":[{"title":"高度易用","details":"通過簡單的接口，實現了大部分幾何運算及粒子製作的需求"},{"title":"高度集成","details":"對numpy、scipy及sympy進行了封裝和集成，使腳本編寫像使用Geogebra一樣easy"},{"title":"內置預設","details":"提供了大量的預設，包括常見的幾何圖形、粒子效果等，便於快速生產"}]},"headers":[],"relativePath":"zht/index.md","filePath":"zht/index.md"}'),o={name:"zht/index.md"};function i(c,n,d,s,r,l){return a(),t("div")}const h=e(o,[["render",i]]);export{m as __pageData,h as default}; diff --git a/assets/zht_index.md.V9U3SwDR.lean.js b/assets/zht_index.md.V9U3SwDR.lean.js new file mode 100644 index 0000000..2b0bb84 --- /dev/null +++ b/assets/zht_index.md.V9U3SwDR.lean.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a}from"./chunks/framework.C94oF1kp.js";const m=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"MBCP docs","text":"More basic change particle","tagline":"用於幾何運算和粒子製作的軟體庫","actions":[{"theme":"brand","text":"跟隨引導","link":"./guide/"},{"theme":"alt","text":"API文檔","link":"./api/"}]},"features":[{"title":"高度易用","details":"通過簡單的接口，實現了大部分幾何運算及粒子製作的需求"},{"title":"高度集成","details":"對numpy、scipy及sympy進行了封裝和集成，使腳本編寫像使用Geogebra一樣easy"},{"title":"內置預設","details":"提供了大量的預設，包括常見的幾何圖形、粒子效果等，便於快速生產"}]},"headers":[],"relativePath":"zht/index.md","filePath":"zht/index.md"}'),o={name:"zht/index.md"};function i(c,n,d,s,r,l){return a(),t("div")}const h=e(o,[["render",i]]);export{m as __pageData,h as default}; diff --git a/demo/index.html b/demo/index.html new file mode 100644 index 0000000..1823588 --- /dev/null +++ b/demo/index.html @@ -0,0 +1,24 @@ + + + + + + demo | MBCP docs + + + + + + + + + + + + + +
MBCP docs

简体中文

English
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繁體中文

简体中文

English
日本語
繁體中文

Appearance

demo ​

文档由 VitePress 构建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ + + + \ No newline at end of file diff --git a/en/api/index.html b/en/api/index.html index d6c3f56..38d943e 100644 --- a/en/api/index.html +++ b/en/api/index.html @@ -6,19 +6,19 @@ mbcp | MBCP docs - + - + - - - + + + - - +
MBCP docs

English

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mbcp ​

Description: 本模块塞了一些预设的粒子生成器

Documentation built with VitePress | API references generated by litedoc

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/en/api/mp_math/angle.html b/en/api/mp_math/angle.html index d71eca0..df10f19 100644 --- a/en/api/mp_math/angle.html +++ b/en/api/mp_math/angle.html @@ -6,18 +6,18 @@ mbcp.mp_math.angle | MBCP docs - + - + - - - + + + -
MBCP docs

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class Angle ​

class AnyAngle(Angle) ​

method __init__(self, value: float, is_radian: bool = False) ​

Description: 任意角度。

Arguments:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code
python
def __init__(self, value: float, is_radian: bool=False):
+    
MBCP docs
English
简体中文
日本語
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mbcp.mp_math.angle ​
Description: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
Description: 任意角度。
Arguments:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -27,96 +27,96 @@
     if is_radian:
         self.radian = value
     else:
-        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
Description: 余角：两角的和为90°。
Return: 余角
Source code
python
@property
+        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
Description: 余角：两角的和为90°。
Return: 余角
Source code
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)
@property ​
method supplementary(self) -> AnyAngle ​
Description: 补角：两角的和为180°。
Return: 补角
Source code
python
@property
+    return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
@property ​
method supplementary(self) -> AnyAngle ​
Description: 补角：两角的和为180°。
Return: 补角
Source code
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)
@property ​
method degree(self) -> float ​
Description: 角度。
Return: 弧度
Source code
python
@property
+    return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
@property ​
method degree(self) -> float ​
Description: 角度。
Return: 弧度
Source code
python
@property
 def degree(self) -> float:
     """
         角度。
         Returns:
             弧度
         """
-    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
Description: 最小正角。
Return: 最小正角度
Source code
python
@property
+    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
Description: 最小正角。
Return: 最小正角度
Source code
python
@property
 def minimum_positive(self) -> 'AnyAngle':
     """
         最小正角。
         Returns:
             最小正角度
         """
-    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
Description: 最大负角。
Return: 最大负角度
Source code
python
@property
+    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
Description: 最大负角。
Return: 最大负角度
Source code
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)
@property ​
method sin(self) -> float ​
Description: 正弦值。
Return: 正弦值
Source code
python
@property
+    return AnyAngle(-self.radian % (2 * PI), is_radian=True)
@property ​
method sin(self) -> float ​
Description: 正弦值。
Return: 正弦值
Source code
python
@property
 def sin(self) -> float:
     """
         正弦值。
         Returns:
             正弦值
         """
-    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
Description: 余弦值。
Return: 余弦值
Source code
python
@property
+    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
Description: 余弦值。
Return: 余弦值
Source code
python
@property
 def cos(self) -> float:
     """
         余弦值。
         Returns:
             余弦值
         """
-    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
Description: 正切值。
Return: 正切值
Source code
python
@property
+    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
Description: 正切值。
Return: 正切值
Source code
python
@property
 def tan(self) -> float:
     """
         正切值。
         Returns:
             正切值
         """
-    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
Description: 余切值。
Return: 余切值
Source code
python
@property
+    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
Description: 余切值。
Return: 余切值
Source code
python
@property
 def cot(self) -> float:
     """
         余切值。
         Returns:
             余切值
         """
-    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
Description: 正割值。
Return: 正割值
Source code
python
@property
+    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
Description: 正割值。
Return: 正割值
Source code
python
@property
 def sec(self) -> float:
     """
         正割值。
         Returns:
             正割值
         """
-    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
Description: 余割值。
Return: 余割值
Source code
python
@property
+    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
Description: 余割值。
Return: 余割值
Source code
python
@property
 def csc(self) -> float:
     """
         余割值。
         Returns:
             余割值
         """
-    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
Source code
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
Source code
python
def __eq__(self, other):
-    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
Source code
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
Source code
python
def __mul__(self, other: float) -> 'AnyAngle':
-    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
Source code
python
@overload
+    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
Source code
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
Source code
python
def __eq__(self, other):
+    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
Source code
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
Source code
python
def __mul__(self, other: float) -> 'AnyAngle':
+    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
Source code
python
@overload
 def __truediv__(self, other: float) -> 'AnyAngle':
-    ...
@overload ​
method self / other: AnyAngle => float ​
Source code
python
@overload
+    ...
@overload ​
method self / other: AnyAngle => float ​
Source code
python
@overload
 def __truediv__(self, other: 'AnyAngle') -> float:
-    ...
method self / other ​
Source code
python
def __truediv__(self, other):
+    ...
method self / other ​
Source code
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)

-    
+    return AnyAngle(self.radian / other, is_radian=True)

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+ \ No newline at end of file diff --git a/en/api/mp_math/const.html b/en/api/mp_math/const.html index 8764923..621789e 100644 --- a/en/api/mp_math/const.html +++ b/en/api/mp_math/const.html @@ -6,19 +6,19 @@ mbcp.mp_math.const | MBCP docs - + - + - - - + + + - - +
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mbcp.mp_math.const ​

Description: 本模块定义了一些常用的常量

var PI = math.pi ​

  • Description: 常量 π

var E = math.e ​

  • Description: 自然对数的底 exp(1)

var GOLDEN_RATIO = (1 + math.sqrt(5)) / 2 ​

  • Description: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • Description: 欧拉常数

var EPSILON = 0.0001 ​

  • Description: 精度误差

var APPROX = 0.001 ​

  • Description: 约等于判定误差

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+ \ No newline at end of file diff --git a/en/api/mp_math/equation.html b/en/api/mp_math/equation.html index 42e5cc5..114ccf2 100644 --- a/en/api/mp_math/equation.html +++ b/en/api/mp_math/equation.html @@ -6,18 +6,40 @@ mbcp.mp_math.equation | MBCP docs - + - + - - - + + + -
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func get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc ​

Description: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。

WARNING

目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升

Arguments:

  • 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

Return: 偏导函数

Raises:

  • ValueError 无效变量类型
Source code
python
def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number=EPSILON) -> MultiVarsFunc:
+    
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mbcp.mp_math.equation ​
Description: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
Source code
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    """
+        曲线方程。
+        Args:
+            x_func: x函数
+            y_func: y函数
+            z_func: z函数
+        """
+    self.x_func = x_func
+    self.y_func = y_func
+    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
Description: 计算曲线上的点。
Arguments:
  • *t:
  • 参数:
Return: 目标点
Source code
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
+    """
+        计算曲线上的点。
+        Args:
+            *t:
+                参数
+        Returns:
+            目标点
+        """
+    if len(t) == 1:
+        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
+    else:
+        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc ​
Description: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。
WARNING
目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升
Arguments:
  • 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
Return: 偏导函数
Raises:
  • ValueError 无效变量类型
Source code
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。
     > [!warning]
@@ -59,7 +81,7 @@
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
func curry(*args: Var) -> OneVarFunc ​
Description: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
Arguments:
  • func: 函数
  • *args: 参数
Return: 柯里化后的函数
Source code
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
+        raise ValueError('Invalid var type')
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
Description: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
Arguments:
  • func: 函数
  • *args: 参数
Return: 柯里化后的函数
Source code
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
     """
     对多参数函数进行柯里化。
     > [!tip]
@@ -74,30 +96,8 @@
     def curried_func(*args2: Var) -> Var:
         """@litedoc-hide"""
         return func(*args, *args2)
-    return curried_func
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
Source code
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
-    """
-        曲线方程。
-        Args:
-            x_func: x函数
-            y_func: y函数
-            z_func: z函数
-        """
-    self.x_func = x_func
-    self.y_func = y_func
-    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
Description: 计算曲线上的点。
Arguments:
  • *t:
  • 参数:
Source code
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
-    """
-        计算曲线上的点。
-        Args:
-            *t:
-                参数
-        Returns:
-
-        """
-    if len(t) == 1:
-        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
-    else:
-        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])

-    
+    return curried_func

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+ \ No newline at end of file diff --git a/en/api/mp_math/function.html b/en/api/mp_math/function.html new file mode 100644 index 0000000..20380ce --- /dev/null +++ b/en/api/mp_math/function.html @@ -0,0 +1,40 @@ + + + + + + mbcp.mp_math.function | MBCP docs + + + + + + + + + + + + + +
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mbcp.mp_math.function ​

Description: AAA

func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​

Description: 计算三元函数在某点的梯度向量。

TIP

已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)

Arguments:

  • func: 三元函数
  • p: 点
  • epsilon: 偏移量

Return: 梯度

Source code
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    """
+    计算三元函数在某点的梯度向量。
+    > [!tip]
+    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
+    $\\nabla f(x_0, y_0, z_0) = \\left(\\frac{\\partial f}{\\partial x}, \\frac{\\partial f}{\\partial y}, \\frac{\\partial f}{\\partial z}\\right)$
+    Args:
+        func: 三元函数
+        p: 点
+        epsilon: 偏移量
+    Returns:
+        梯度
+    """
+    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
+    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
+    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
+    return Vector3(dx, dy, dz)

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+ + + + \ No newline at end of file diff --git a/en/api/mp_math/index.html b/en/api/mp_math/index.html index d2bc901..184e40f 100644 --- a/en/api/mp_math/index.html +++ b/en/api/mp_math/index.html @@ -6,19 +6,19 @@ mbcp.mp_math | MBCP docs - + - + - - - + + + - - +
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mbcp.mp_math ​

Description: 本包定义了一些常用的导入，可直接从mbcp.mp_math导入使用 导入的类有：

  • AnyAngle：任意角
  • CurveEquation：曲线方程
  • Line3：三维直线
  • Plane3：三维平面
  • Point3：三维点
  • Segment3：三维线段
  • Vector3：三维向量

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+ \ No newline at end of file diff --git a/en/api/mp_math/line.html b/en/api/mp_math/line.html index 8abe146..f9b3155 100644 --- a/en/api/mp_math/line.html +++ b/en/api/mp_math/line.html @@ -6,18 +6,18 @@ mbcp.mp_math.line | MBCP docs - + - + - - - + + + -
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class Line3 ​

method __init__(self, point: Point3, direction: Vector3) ​

Description: 三维空间中的直线。由一个点和一个方向向量确定。

Arguments:

  • point: 直线上的一点
  • direction: 直线的方向向量
Source code
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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mbcp.mp_math.line ​
Description: 本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
Description: 三维空间中的直线。由一个点和一个方向向量确定。
Arguments:
  • point: 直线上的一点
  • direction: 直线的方向向量
Source code
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:
@@ -25,7 +25,7 @@
             direction: 直线的方向向量
         """
     self.point = point
-    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
Description: 判断两条直线是否近似相等。
Arguments:
  • other: 另一条直线
  • epsilon: 误差
Return: 是否近似相等
Source code
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
+    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
Description: 判断两条直线是否近似相等。
Arguments:
  • other: 另一条直线
  • epsilon: 误差
Return: 是否近似相等
Source code
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
     """
         判断两条直线是否近似相等。
         Args:
@@ -34,7 +34,7 @@
         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)
method cal_angle(self, other: Line3) -> AnyAngle ​
Description: 计算直线和直线之间的夹角。
Arguments:
  • other: 另一条直线
Return: 夹角弧度
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
+    return self.is_approx_parallel(other, epsilon) and (self.point - other.point).is_approx_parallel(self.direction, epsilon)
method cal_angle(self, other: Line3) -> AnyAngle ​
Description: 计算直线和直线之间的夹角。
Arguments:
  • other: 另一条直线
Return: 夹角弧度
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
     """
         计算直线和直线之间的夹角。
         Args:
@@ -44,7 +44,7 @@
         Raises:
             TypeError: 不支持的类型
         """
-    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
Description: 计算直线和直线或点之间的距离。
Arguments:
  • other: 平行直线或点
Return: 距离
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
+    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
Description: 计算直线和直线或点之间的距离。
Arguments:
  • other: 平行直线或点
Return: 距离
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
     """
         计算直线和直线或点之间的距离。
         Args:
@@ -67,7 +67,7 @@
     elif isinstance(other, Point3):
         return (other - self.point).cross(self.direction).length / self.direction.length
     else:
-        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
Description: 计算两条直线的交点。
Arguments:
  • other: 另一条直线
Return: 交点
Raises:
  • ValueError 直线平行
  • ValueError 直线不共面
Source code
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
+        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
Description: 计算两条直线的交点。
Arguments:
  • other: 另一条直线
Return: 交点
Raises:
  • ValueError 直线平行
  • ValueError 直线不共面
Source code
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
     """
         计算两条直线的交点。
         Args:
@@ -82,7 +82,7 @@
         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
method cal_perpendicular(self, point: Point3) -> Line3 ​
Description: 计算直线经过指定点p的垂线。
Arguments:
  • point: 指定点
Return: 垂线
Source code
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
+    return self.point + self.direction.cross(other.direction) @ other.direction.cross(self.point - other.point) / self.direction.cross(other.direction).length ** 2 * self.direction
method cal_perpendicular(self, point: Point3) -> Line3 ​
Description: 计算直线经过指定点p的垂线。
Arguments:
  • point: 指定点
Return: 垂线
Source code
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
     """
         计算直线经过指定点p的垂线。
         Args:
@@ -90,7 +90,7 @@
         Returns:
             垂线
         """
-    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
Description: 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。
Arguments:
  • t: 参数t
Return: 点
Source code
python
def get_point(self, t: RealNumber) -> 'Point3':
+    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
Description: 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。
Arguments:
  • t: 参数t
Return: 点
Source code
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:
@@ -98,13 +98,13 @@
         Returns:
             点
         """
-    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
Description: 获取直线的参数方程。
Return: x(t), y(t), z(t)
Source code
python
def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:
+    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
Description: 获取直线的参数方程。
Return: x(t), y(t), z(t)
Source code
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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
Description: 判断两条直线是否近似平行。
Arguments:
  • other: 另一条直线
  • epsilon: 误差
Return: 是否近似平行
Source code
python
def is_approx_parallel(self, other: 'Line3', epsilon: float=1e-06) -> bool:
+    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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
Description: 判断两条直线是否近似平行。
Arguments:
  • other: 另一条直线
  • epsilon: 误差
Return: 是否近似平行
Source code
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:
@@ -113,7 +113,7 @@
         Returns:
             是否近似平行
         """
-    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
Description: 判断两条直线是否平行。
Arguments:
  • other: 另一条直线
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Line3') -> bool:
+    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
Description: 判断两条直线是否平行。
Arguments:
  • other: 另一条直线
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Line3') -> bool:
     """
         判断两条直线是否平行。
         Args:
@@ -121,7 +121,7 @@
         Returns:
             是否平行
         """
-    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
Description: 判断两条直线是否共线。
Arguments:
  • other: 另一条直线
Return: 是否共线
Source code
python
def is_collinear(self, other: 'Line3') -> bool:
+    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
Description: 判断两条直线是否共线。
Arguments:
  • other: 另一条直线
Return: 是否共线
Source code
python
def is_collinear(self, other: 'Line3') -> bool:
     """
         判断两条直线是否共线。
         Args:
@@ -129,7 +129,7 @@
         Returns:
             是否共线
         """
-    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
Description: 判断点是否在直线上。
Arguments:
  • point: 点
Return: 是否在直线上
Source code
python
def is_point_on(self, point: 'Point3') -> bool:
+    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
Description: 判断点是否在直线上。
Arguments:
  • point: 点
Return: 是否在直线上
Source code
python
def is_point_on(self, point: 'Point3') -> bool:
     """
         判断点是否在直线上。
         Args:
@@ -137,7 +137,7 @@
         Returns:
             是否在直线上
         """
-    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
Description: 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。
Arguments:
  • other: 另一条直线
Return: 是否共面
Source code
python
def is_coplanar(self, other: 'Line3') -> bool:
+    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
Description: 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。
Arguments:
  • other: 另一条直线
Return: 是否共面
Source code
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。
@@ -146,7 +146,7 @@
         Returns:
             是否共面
         """
-    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
Description: 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
Source code
python
def simplify(self):
+    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
Description: 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
Source code
python
def simplify(self):
     """
         简化直线方程，等价相等。
         自体简化，不返回值。
@@ -159,7 +159,7 @@
     if self.direction.y == 0:
         self.point.y = 0
     if self.direction.z == 0:
-        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
Description: 工厂函数 由两点构造直线。
Arguments:
  • p1: 点1
  • p2: 点2
Return: 直线
Source code
python
@classmethod
+        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
Description: 工厂函数 由两点构造直线。
Arguments:
  • p1: 点1
  • p2: 点2
Return: 直线
Source code
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     """
         工厂函数 由两点构造直线。
@@ -170,7 +170,7 @@
             直线
         """
     direction = p2 - p1
-    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
Description: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
Arguments:
  • other: 另一条直线
Return: 交点
Source code
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
Description: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
Arguments:
  • other: 另一条直线
Return: 交点
Source code
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     """
         计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
         Args:
@@ -183,7 +183,7 @@
     elif self.is_parallel(other) or not self.is_coplanar(other):
         return None
     else:
-        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
Description: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
Arguments:
  • other:
Source code
python
def __eq__(self, other) -> bool:
+        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
Description: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
Arguments:
  • other:
Source code
python
def __eq__(self, other) -> bool:
     """
         判断两条直线是否等价。
 
@@ -194,8 +194,8 @@
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

-    
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

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+ \ No newline at end of file diff --git a/en/api/mp_math/mp_math_typing.html b/en/api/mp_math/mp_math_typing.html index 60a31bb..2fc2bd6 100644 --- a/en/api/mp_math/mp_math_typing.html +++ b/en/api/mp_math/mp_math_typing.html @@ -6,19 +6,19 @@ mbcp.mp_math.mp_math_typing | MBCP docs - + - + - - - + + + -
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var RealNumber = int | float ​

  • Type: TypeAlias

  • Description: 实数

var Number = RealNumber | complex ​

  • Type: TypeAlias

  • Description: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • Description: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • Description: 数组变量

var Var = SingleVar | ArrayVar ​

  • Type: TypeAlias

  • Description: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • Type: TypeAlias

  • Description: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • Type: TypeAlias

  • Description: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • Type: TypeAlias

  • Description: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • Type: TypeAlias

  • Description: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • Type: TypeAlias

  • Description: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • Type: TypeAlias

  • Description: 多元函数

- +
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mbcp.mp_math.mp_math_typing ​

Description: 本模块用于内部类型提示

var RealNumber = int | float ​

  • Type: TypeAlias

  • Description: 实数

var Number = RealNumber | complex ​

  • Type: TypeAlias

  • Description: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • Description: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • Description: 数组变量

var Var = SingleVar | ArrayVar ​

  • Type: TypeAlias

  • Description: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • Type: TypeAlias

  • Description: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • Type: TypeAlias

  • Description: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • Type: TypeAlias

  • Description: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • Type: TypeAlias

  • Description: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • Type: TypeAlias

  • Description: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • Type: TypeAlias

  • Description: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • Type: TypeAlias

  • Description: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • Type: TypeAlias

  • Description: 多元函数

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+ \ No newline at end of file diff --git a/en/api/mp_math/plane.html b/en/api/mp_math/plane.html index 09539fe..7070657 100644 --- a/en/api/mp_math/plane.html +++ b/en/api/mp_math/plane.html @@ -6,18 +6,18 @@ mbcp.mp_math.plane | MBCP docs - + - + - - - + + + -
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class Plane3 ​

method __init__(self, a: float, b: float, c: float, d: float) ​

Description: 平面方程：ax + by + cz + d = 0

Arguments:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
Source code
python
def __init__(self, a: float, b: float, c: float, d: float):
+    
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mbcp.mp_math.plane ​
Description: 本模块定义了三维空间中的平面类
class Plane3 ​
method __init__(self, a: float, b: float, c: float, d: float) ​
Description: 平面方程：ax + by + cz + d = 0
Arguments:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
Source code
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -29,7 +29,7 @@
     self.a = a
     self.b = b
     self.c = c
-    self.d = d
method approx(self, other: Plane3) -> bool ​
Description: 判断两个平面是否近似相等。
Arguments:
  • other: 另一个平面
Return: 是否近似相等
Source code
python
def approx(self, other: 'Plane3') -> bool:
+    self.d = d
method approx(self, other: Plane3) -> bool ​
Description: 判断两个平面是否近似相等。
Arguments:
  • other: 另一个平面
Return: 是否近似相等
Source code
python
def approx(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否近似相等。
         Args:
@@ -47,7 +47,7 @@
         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
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
Description: 计算平面与平面之间的夹角。
Arguments:
  • other: 另一个平面
Return: 夹角弧度
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
+        return False
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
Description: 计算平面与平面之间的夹角。
Arguments:
  • other: 另一个平面
Return: 夹角弧度
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     """
         计算平面与平面之间的夹角。
         Args:
@@ -62,7 +62,7 @@
     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)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
Description: 计算平面与平面或点之间的距离。
Arguments:
  • other: 另一个平面或点
Return: 距离
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
Description: 计算平面与平面或点之间的距离。
Arguments:
  • other: 另一个平面或点
Return: 距离
Raises:
  • TypeError 不支持的类型
Source code
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
     """
         计算平面与平面或点之间的距离。
         Args:
@@ -77,7 +77,7 @@
     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)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
Description: 计算两平面的交线。
Arguments:
  • other: 另一个平面
Return: 两平面的交线
Source code
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
Description: 计算两平面的交线。
Arguments:
  • other: 另一个平面
Return: 两平面的交线
Source code
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     """
         计算两平面的交线。
         Args:
@@ -102,7 +102,7 @@
         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)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
Description: 计算平面与直线的交点。
Arguments:
  • other: 不与平面平行或在平面上的直线
Return: 交点
Raises:
  • ValueError 平面与直线平行或重合
Source code
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
+    return Line3(Point3(x, y, z), direction)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
Description: 计算平面与直线的交点。
Arguments:
  • other: 不与平面平行或在平面上的直线
Return: 交点
Raises:
  • ValueError 平面与直线平行或重合
Source code
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
     """
         计算平面与直线的交点。
         Args:
@@ -116,7 +116,7 @@
         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))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
Description: 计算平行于该平面且过指定点的平面。
Arguments:
  • point: 指定点
Return: 所求平面
Source code
python
def cal_parallel_plane3(self, point: 'Point3') -> 'Plane3':
+    return Point3(x(t), y(t), z(t))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
Description: 计算平行于该平面且过指定点的平面。
Arguments:
  • point: 指定点
Return: 所求平面
Source code
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:
@@ -124,7 +124,7 @@
         Returns:
             所求平面
         """
-    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
Description: 判断两个平面是否平行。
Arguments:
  • other: 另一个平面
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Plane3') -> bool:
+    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
Description: 判断两个平面是否平行。
Arguments:
  • other: 另一个平面
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否平行。
         Args:
@@ -132,14 +132,14 @@
         Returns:
             是否平行
         """
-    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
Description: 平面的法向量。
Return: 法向量
Source code
python
@property
+    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
Description: 平面的法向量。
Return: 法向量
Source code
python
@property
 def normal(self) -> 'Vector3':
     """
         平面的法向量。
         Returns:
             法向量
         """
-    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
Description: 工厂函数 由点和法向量构造平面(点法式构造)。
Arguments:
  • point: 平面上的一点
  • normal: 法向量
Return: 平面
Source code
python
@classmethod
+    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
Description: 工厂函数 由点和法向量构造平面(点法式构造)。
Arguments:
  • point: 平面上的一点
  • normal: 法向量
Return: 平面
Source code
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)。
@@ -151,7 +151,7 @@
         """
     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)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
Description: 工厂函数 由三点构造平面。
Arguments:
  • p1: 点1
  • p2: 点2
  • p3: 点3
Return: 平面
Source code
python
@classmethod
+    return cls(a, b, c, d)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
Description: 工厂函数 由三点构造平面。
Arguments:
  • p1: 点1
  • p2: 点2
  • p3: 点3
Return: 平面
Source code
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。
@@ -165,7 +165,7 @@
     v1 = p2 - p1
     v2 = p3 - p1
     normal = v1.cross(v2)
-    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
Description: 工厂函数 由两直线构造平面。
Arguments:
  • l1: 直线1
  • l2: 直线2
Return: 平面
Source code
python
@classmethod
+    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
Description: 工厂函数 由两直线构造平面。
Arguments:
  • l1: 直线1
  • l2: 直线2
Return: 平面
Source code
python
@classmethod
 def from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3':
     """
         工厂函数 由两直线构造平面。
@@ -179,7 +179,7 @@
     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))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
Description: 工厂函数 由点和直线构造平面。
Arguments:
  • point: 面上一点
  • line: 面上直线，不包含点
Return: 平面
Source code
python
@classmethod
+    return cls.from_point_and_normal(l1.point, v1.cross(v2))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
Description: 工厂函数 由点和直线构造平面。
Arguments:
  • point: 面上一点
  • line: 面上直线，不包含点
Return: 平面
Source code
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。
@@ -189,11 +189,11 @@
         Returns:
             平面
         """
-    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
Source code
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
Source code
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
Source code
python
@overload
+    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
Source code
python
@overload
 def __and__(self, other: 'Plane3') -> 'Line3 | None':
-    ...
method __and__(self, other) ​
Description: 取两平面的交集（人话：交线）
Arguments:
  • other:
Return: 不平行平面的交线，平面平行返回None
Source code
python
def __and__(self, other):
+    ...
method __and__(self, other) ​
Description: 取两平面的交集（人话：交线）
Arguments:
  • other:
Return: 不平行平面的交线，平面平行返回None
Source code
python
def __and__(self, other):
     """
         取两平面的交集（人话：交线）
         Args:
@@ -210,10 +210,10 @@
             return None
         return self.cal_intersection_point3(other)
     else:
-        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
Source code
python
def __eq__(self, other) -> bool:
-    return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
Source code
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)

-    
+        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

Source code
python
def __eq__(self, other) -> bool:
+    return self.approx(other)

method __rand__(self, other: Line3) -> Point3 ​

Source code
python
def __rand__(self, other: 'Line3') -> 'Point3':
+    return self.cal_intersection_point3(other)

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+ \ No newline at end of file diff --git a/en/api/mp_math/point.html b/en/api/mp_math/point.html index de3aa24..6c8fd83 100644 --- a/en/api/mp_math/point.html +++ b/en/api/mp_math/point.html @@ -6,18 +6,18 @@ mbcp.mp_math.point | MBCP docs - + - + - - - + + + -
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class Point3 ​

method __init__(self, x: float, y: float, z: float) ​

Description: 笛卡尔坐标系中的点。

Arguments:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
Source code
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.point ​
Description: 本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 笛卡尔坐标系中的点。
Arguments:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
Source code
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -27,7 +27,7 @@
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
Description: 判断两个点是否近似相等。
Arguments:
  • other:
  • epsilon:
Return: 是否近似相等
Source code
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
Description: 判断两个点是否近似相等。
Arguments:
  • other:
  • epsilon:
Return: 是否近似相等
Source code
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
     """
         判断两个点是否近似相等。
         Args:
@@ -37,11 +37,11 @@
         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])
@overload ​
method self + other: Vector3 => Point3 ​
Source code
python
@overload
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
@overload ​
method self + other: Vector3 => Point3 ​
Source code
python
@overload
 def __add__(self, other: 'Vector3') -> 'Point3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
Source code
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
Source code
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
Description: P + V -> P P + P -> P
Arguments:
  • other:
Source code
python
def __add__(self, other):
+    ...
method self + other ​
Description: P + V -> P P + P -> P
Arguments:
  • other:
Source code
python
def __add__(self, other):
     """
         P + V -> P
         P + P -> P
@@ -49,14 +49,14 @@
             other:
         Returns:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
Description: 判断两个点是否相等。
Arguments:
  • other:
Source code
python
def __eq__(self, other):
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
Description: 判断两个点是否相等。
Arguments:
  • other:
Source code
python
def __eq__(self, other):
     """
         判断两个点是否相等。
         Args:
             other:
         Returns:
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
Description: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
Arguments:
  • other:
Source code
python
def __sub__(self, other: 'Point3') -> 'Vector3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
Description: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
Arguments:
  • other:
Source code
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     """
         P - P -> V
 
@@ -67,8 +67,8 @@
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

-    
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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+ \ No newline at end of file diff --git a/en/api/mp_math/segment.html b/en/api/mp_math/segment.html index b1c4c0c..072b853 100644 --- a/en/api/mp_math/segment.html +++ b/en/api/mp_math/segment.html @@ -6,18 +6,18 @@ mbcp.mp_math.segment | MBCP docs - + - + - - - + + + -
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class Segment3 ​

method __init__(self, p1: Point3, p2: Point3) ​

Description: 三维空间中的线段。 :param p1: :param p2:

Source code
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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mbcp.mp_math.segment ​
Description: 本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
Description: 三维空间中的线段。 :param p1: :param p2:
Source code
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -30,8 +30,8 @@
     '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)

-    
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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+ \ No newline at end of file diff --git a/en/api/mp_math/utils.html b/en/api/mp_math/utils.html index 6a4ea0b..0a9d1e7 100644 --- a/en/api/mp_math/utils.html +++ b/en/api/mp_math/utils.html @@ -6,18 +6,18 @@ mbcp.mp_math.utils | MBCP docs - + - + - - - + + + -
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func clamp() -> float ​

Description: 区间限定函数

Arguments:

  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值

Return: 限制后的值

Source code
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
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mbcp.mp_math.utils ​
Description: 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: 待限定的值
  • min_: 最小值
  • max_: 最大值
Return: 限制后的值
Source code
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -28,7 +28,20 @@
     Returns:
         限制后的值
     """
-    return max(min(x, max_), min_)
func approx(x: float = 0.0, y: 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: 数1
  • y: 数2
  • epsilon: 误差
Return: 是否近似相等
Source code
python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
+    return max(min(x, max_), min_)
class Approx ​
method __init__(self, value: RealNumber) ​
Source code
python
def __init__(self, value: RealNumber):
+    self.value = value
method __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)
method 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)}')
method __ne__(self, other) ​
Source code
python
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: 数1
  • y: 数2
  • epsilon: 误差
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:
@@ -38,7 +51,7 @@
     Returns:
         是否近似相等
     """
-    return abs(x - y) < epsilon
func sign(x: float = False) -> str ​
Description: 获取数的符号。
Arguments:
  • 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:
+    return abs(x - y) < epsilon
func sign(x: float, only_neg: bool = False) -> str ​
Description: 获取数的符号。
Arguments:
  • 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
@@ -51,7 +64,7 @@
     elif x < 0:
         return '-'
     else:
-        return ''
func sign_format(x: float = False) -> str ​
Description: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
Arguments:
  • 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:
+        return ''
func sign_format(x: float, only_neg: bool = False) -> str ​
Description: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
Arguments:
  • 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
@@ -67,21 +80,8 @@
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
class Approx ​
method __init__(self, value: RealNumber) ​
Source code
python
def __init__(self, value: RealNumber):
-    self.value = value
method __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)
method 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)}')
method __ne__(self, other) ​
Source code
python
def __ne__(self, other):
-    return not self.__eq__(other)

-    
+        return ''

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+ \ No newline at end of file diff --git a/en/api/mp_math/vector.html b/en/api/mp_math/vector.html index 16b7613..ce05b43 100644 --- a/en/api/mp_math/vector.html +++ b/en/api/mp_math/vector.html @@ -6,18 +6,18 @@ mbcp.mp_math.vector | MBCP docs - + - + - - - + + + -
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class Vector3 ​

method __init__(self, x: float, y: float, z: float) ​

Description: 3维向量

Arguments:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
Source code
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.vector ​
Description: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 3维向量
Arguments:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
Source code
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -27,7 +27,7 @@
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
Description: 判断两个向量是否近似相等。
Arguments:
  • other:
  • epsilon:
Return: 是否近似相等
Source code
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
Description: 判断两个向量是否近似相等。
Arguments:
  • other:
  • epsilon:
Return: 是否近似相等
Source code
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
     """
         判断两个向量是否近似相等。
         Args:
@@ -37,7 +37,7 @@
         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])
method cal_angle(self, other: Vector3) -> AnyAngle ​
Description: 计算两个向量之间的夹角。
Arguments:
  • other: 另一个向量
Return: 夹角
Source code
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
method cal_angle(self, other: Vector3) -> AnyAngle ​
Description: 计算两个向量之间的夹角。
Arguments:
  • other: 另一个向量
Return: 夹角
Source code
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
     """
         计算两个向量之间的夹角。
         Args:
@@ -45,7 +45,7 @@
         Returns:
             夹角
         """
-    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
Description: 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。
Arguments:
  • other:
Return: 行列式的结果
Source code
python
def cross(self, other: 'Vector3') -> 'Vector3':
+    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
Description: 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。
Arguments:
  • other:
Return: 行列式的结果
Source code
python
def cross(self, other: 'Vector3') -> 'Vector3':
     """
         向量积 叉乘：v1 cross v2 -> v3
 
@@ -65,7 +65,7 @@
         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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
Description: 判断两个向量是否近似平行。
Arguments:
  • other: 另一个向量
  • epsilon: 允许的误差
Return: 是否近似平行
Source code
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
Description: 判断两个向量是否近似平行。
Arguments:
  • other: 另一个向量
  • epsilon: 允许的误差
Return: 是否近似平行
Source code
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:
@@ -74,7 +74,7 @@
         Returns:
             是否近似平行
         """
-    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
Description: 判断两个向量是否平行。
Arguments:
  • other: 另一个向量
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Vector3') -> bool:
+    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
Description: 判断两个向量是否平行。
Arguments:
  • other: 另一个向量
Return: 是否平行
Source code
python
def is_parallel(self, other: 'Vector3') -> bool:
     """
         判断两个向量是否平行。
         Args:
@@ -82,7 +82,7 @@
         Returns:
             是否平行
         """
-    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
Description: 将向量归一化。
自体归一化，不返回值。
Source code
python
def normalize(self):
+    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
Description: 将向量归一化。
自体归一化，不返回值。
Source code
python
def normalize(self):
     """
         将向量归一化。
 
@@ -91,32 +91,32 @@
     length = self.length
     self.x /= length
     self.y /= length
-    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
Source code
python
@property
+    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
Source code
python
@property
 def np_array(self) -> 'np.ndarray':
     """
         返回numpy数组
         Returns:
         """
-    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
Description: 向量的模。
Return: 模
Source code
python
@property
+    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
Description: 向量的模。
Return: 模
Source code
python
@property
 def length(self) -> float:
     """
         向量的模。
         Returns:
             模
         """
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
Description: 获取该向量的单位向量。
Return: 单位向量
Source code
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
Description: 获取该向量的单位向量。
Return: 单位向量
Source code
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
method __abs__(self) ​
Source code
python
def __abs__(self):
-    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
Source code
python
@overload
+    return self / self.length
method __abs__(self) ​
Source code
python
def __abs__(self):
+    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
Source code
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
Source code
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
Source code
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
Description: V + P -> P
V + V -> V
Arguments:
  • other:
Source code
python
def __add__(self, other):
+    ...
method self + other ​
Description: V + P -> P
V + V -> V
Arguments:
  • other:
Source code
python
def __add__(self, other):
     """
         V + P -> P
 
@@ -131,7 +131,7 @@
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
Description: 判断两个向量是否相等。
Arguments:
  • other:
Return: 是否相等
Source code
python
def __eq__(self, other):
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
Description: 判断两个向量是否相等。
Arguments:
  • other:
Return: 是否相等
Source code
python
def __eq__(self, other):
     """
         判断两个向量是否相等。
         Args:
@@ -139,7 +139,7 @@
         Returns:
             是否相等
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
Description: P + V -> P
别去点那边实现了。 :param other: :return:
Source code
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
Description: P + V -> P
别去点那边实现了。 :param other: :return:
Source code
python
def __radd__(self, other: 'Point3') -> 'Point3':
     """
         P + V -> P
 
@@ -147,11 +147,11 @@
         :param other:
         :return:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
Source code
python
@overload
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
Source code
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self - other: Point3 => Point3 ​
Source code
python
@overload
+    ...
@overload ​
method self - other: Point3 => Point3 ​
Source code
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...
method self - other ​
Description: V - P -> P
V - V -> V
Arguments:
  • other:
Source code
python
def __sub__(self, other):
+    ...
method self - other ​
Description: V - P -> P
V - V -> V
Arguments:
  • other:
Source code
python
def __sub__(self, other):
     """
         V - P -> P
 
@@ -165,7 +165,7 @@
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
Description: P - V -> P
Arguments:
  • other:
Source code
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
Description: P - V -> P
Arguments:
  • other:
Source code
python
def __rsub__(self, other: 'Point3'):
     """
         P - V -> P
         Args:
@@ -176,11 +176,11 @@
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
Source code
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
Source code
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self * other: RealNumber => Vector3 ​
Source code
python
@overload
+    ...
@overload ​
method self * other: RealNumber => Vector3 ​
Source code
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...
method self * other: int | float | Vector3 => Vector3 ​
Description: 数组运算 非点乘。点乘使用@，叉乘使用cross。
Arguments:
  • other:
Source code
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...
method self * other: int | float | Vector3 => Vector3 ​
Description: 数组运算 非点乘。点乘使用@，叉乘使用cross。
Arguments:
  • other:
Source code
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     """
         数组运算 非点乘。点乘使用@，叉乘使用cross。
         Args:
@@ -193,18 +193,18 @@
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
Source code
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
Description: 点乘。
Arguments:
  • other:
Source code
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
Source code
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
Description: 点乘。
Arguments:
  • other:
Source code
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
     """
         点乘。
         Args:
             other:
         Returns:
         """
-    return self.x * other.x + self.y * other.y + self.z * other.z
method self / other: RealNumber => Vector3 ​
Source code
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
-    return Vector3(self.x / other, self.y / other, self.z / other)
method - self ​
Source code
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • Type: Vector3
  • Description: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • Type: Vector3
  • Description: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • Type: Vector3
  • Description: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • Type: Vector3
  • Description: z轴单位向量

-    
+    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

Source code
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
+    return Vector3(self.x / other, self.y / other, self.z / other)

method - self ​

Source code
python
def __neg__(self):
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • Type: Vector3

  • Description: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • Type: Vector3

  • Description: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • Type: Vector3

  • Description: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • Type: Vector3

  • Description: z轴单位向量

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+ \ No newline at end of file diff --git a/en/api/particle/index.html b/en/api/particle/index.html index aa5d51a..0380eeb 100644 --- a/en/api/particle/index.html +++ b/en/api/particle/index.html @@ -6,19 +6,19 @@ mbcp.particle | MBCP docs - + - + - - - + + + - - + + \ No newline at end of file diff --git a/en/api/presets/index.html b/en/api/presets/index.html index 269f70b..ae97123 100644 --- a/en/api/presets/index.html +++ b/en/api/presets/index.html @@ -6,19 +6,19 @@ mbcp.presets | MBCP docs - + - + - - - + + + - - +
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Description: Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved

@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : snowykami@outlook.com @File : init.py @Software: PyCharm

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+ \ No newline at end of file diff --git a/en/api/presets/model/index.html b/en/api/presets/model/index.html index f55b421..060b852 100644 --- a/en/api/presets/model/index.html +++ b/en/api/presets/model/index.html @@ -6,18 +6,18 @@ mbcp.presets.model | MBCP docs - + - + - - - + + + -
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class GeometricModels ​

@staticmethod ​

method sphere(radius: float, density: float) ​

Description: 生成球体上的点集。

Arguments:

  • radius:
  • density:

Return: List[Point3]: 球体上的点集。

Source code
python
@staticmethod
+    
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mbcp.presets.model ​
Description: 几何模型点集
class GeometricModels ​
@staticmethod ​
method sphere(radius: float, density: float) ​
Description: 生成球体上的点集。
Arguments:
  • radius:
  • density:
Return: List[Point3]: 球体上的点集。
Source code
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +34,8 @@
     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)]

-    
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

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+ \ No newline at end of file diff --git a/en/guide/index.html b/en/guide/index.html new file mode 100644 index 0000000..ae36c37 --- /dev/null +++ b/en/guide/index.html @@ -0,0 +1,24 @@ + + + + + + 开始不了一点 | MBCP docs + + + + + + + + + + + + + +
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MBCP docs

More basic change particle

A Library for Python to create particle effects and geometric figures

Get Started
API Reference

Easy to use

Through a simple interface, most of the geometric operations and particle production requirements have been achieved

Integrated

Encapsulated and integratednumpy, scipy and sympy, making script writing as simple as using Geogebra

Rich presets

Rich presets and examples, you can use it directly, and you can also customize the parameters to create your own effects

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+ + + + \ No newline at end of file diff --git a/guide/index.html b/guide/index.html index dc41f68..d6df874 100644 --- a/guide/index.html +++ b/guide/index.html @@ -6,19 +6,19 @@ 开始不了一点 | MBCP docs - + - + - - - + + + -
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+ \ No newline at end of file diff --git a/hashmap.json b/hashmap.json index 3891dcd..6f41064 100644 --- a/hashmap.json +++ b/hashmap.json @@ -1 +1 @@ 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diff --git a/index.html b/index.html index ad97001..69bda17 100644 --- a/index.html +++ b/index.html @@ -6,19 +6,19 @@ MBCP docs - + - + - - - + + + -
MBCP docs

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MBCP docs

More basic change particle

用于几何运算和粒子制作的库

快速开始
API文档

高可用性

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

高集成度

对numpy、scipy及sumpy进行了封装和集成，使脚本编写像使用Geogebra一样简单

内置预设

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

- +
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MBCP docs

More basic change particle

用于几何运算和粒子制作的库

快速开始
API文档

高可用性

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

高集成度

对numpy、scipy及sumpy进行了封装和集成，使脚本编写像使用Geogebra一样简单

内置预设

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

文档由 VitePress 构建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/ja/api/index.html b/ja/api/index.html index 7183624..637c320 100644 --- a/ja/api/index.html +++ b/ja/api/index.html @@ -6,19 +6,19 @@ mbcp | MBCP docs - + - + - - - + + + - - +
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mbcp ​

説明: 本模块塞了一些预设的粒子生成器

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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/ja/api/mp_math/angle.html b/ja/api/mp_math/angle.html index b5e3b49..6f7c89f 100644 --- a/ja/api/mp_math/angle.html +++ b/ja/api/mp_math/angle.html @@ -6,18 +6,18 @@ mbcp.mp_math.angle | MBCP docs - + - + - - - + + + -
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class Angle ​

class AnyAngle(Angle) ​

method __init__(self, value: float, is_radian: bool = False) ​

説明: 任意角度。

引数:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード
python
def __init__(self, value: float, is_radian: bool=False):
+    
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mbcp.mp_math.angle ​
説明: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
引数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -27,96 +27,96 @@
     if is_radian:
         self.radian = value
     else:
-        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
説明: 余角：两角的和为90°。
戻り値: 余角
ソースコード
python
@property
+        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
説明: 余角：两角的和为90°。
戻り値: 余角
ソースコード
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)
@property ​
method supplementary(self) -> AnyAngle ​
説明: 补角：两角的和为180°。
戻り値: 补角
ソースコード
python
@property
+    return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
@property ​
method supplementary(self) -> AnyAngle ​
説明: 补角：两角的和为180°。
戻り値: 补角
ソースコード
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)
@property ​
method degree(self) -> float ​
説明: 角度。
戻り値: 弧度
ソースコード
python
@property
+    return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
@property ​
method degree(self) -> float ​
説明: 角度。
戻り値: 弧度
ソースコード
python
@property
 def degree(self) -> float:
     """
         角度。
         Returns:
             弧度
         """
-    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
説明: 最小正角。
戻り値: 最小正角度
ソースコード
python
@property
+    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
説明: 最小正角。
戻り値: 最小正角度
ソースコード
python
@property
 def minimum_positive(self) -> 'AnyAngle':
     """
         最小正角。
         Returns:
             最小正角度
         """
-    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
説明: 最大负角。
戻り値: 最大负角度
ソースコード
python
@property
+    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
説明: 最大负角。
戻り値: 最大负角度
ソースコード
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)
@property ​
method sin(self) -> float ​
説明: 正弦值。
戻り値: 正弦值
ソースコード
python
@property
+    return AnyAngle(-self.radian % (2 * PI), is_radian=True)
@property ​
method sin(self) -> float ​
説明: 正弦值。
戻り値: 正弦值
ソースコード
python
@property
 def sin(self) -> float:
     """
         正弦值。
         Returns:
             正弦值
         """
-    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
説明: 余弦值。
戻り値: 余弦值
ソースコード
python
@property
+    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
説明: 余弦值。
戻り値: 余弦值
ソースコード
python
@property
 def cos(self) -> float:
     """
         余弦值。
         Returns:
             余弦值
         """
-    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
説明: 正切值。
戻り値: 正切值
ソースコード
python
@property
+    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
説明: 正切值。
戻り値: 正切值
ソースコード
python
@property
 def tan(self) -> float:
     """
         正切值。
         Returns:
             正切值
         """
-    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
説明: 余切值。
戻り値: 余切值
ソースコード
python
@property
+    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
説明: 余切值。
戻り値: 余切值
ソースコード
python
@property
 def cot(self) -> float:
     """
         余切值。
         Returns:
             余切值
         """
-    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
説明: 正割值。
戻り値: 正割值
ソースコード
python
@property
+    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
説明: 正割值。
戻り値: 正割值
ソースコード
python
@property
 def sec(self) -> float:
     """
         正割值。
         Returns:
             正割值
         """
-    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
説明: 余割值。
戻り値: 余割值
ソースコード
python
@property
+    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
説明: 余割值。
戻り値: 余割值
ソースコード
python
@property
 def csc(self) -> float:
     """
         余割值。
         Returns:
             余割值
         """
-    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
ソースコード
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
ソースコード
python
def __eq__(self, other):
-    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
ソースコード
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
ソースコード
python
def __mul__(self, other: float) -> 'AnyAngle':
-    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
ソースコード
python
@overload
+    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
ソースコード
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
ソースコード
python
def __eq__(self, other):
+    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
ソースコード
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
ソースコード
python
def __mul__(self, other: float) -> 'AnyAngle':
+    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
ソースコード
python
@overload
 def __truediv__(self, other: float) -> 'AnyAngle':
-    ...
@overload ​
method self / other: AnyAngle => float ​
ソースコード
python
@overload
+    ...
@overload ​
method self / other: AnyAngle => float ​
ソースコード
python
@overload
 def __truediv__(self, other: 'AnyAngle') -> float:
-    ...
method self / other ​
ソースコード
python
def __truediv__(self, other):
+    ...
method self / other ​
ソースコード
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)

-    
+    return AnyAngle(self.radian / other, is_radian=True)

VitePress で構築されたドキュメント | litedoc によって生成されたAPIリファレンス

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/ja/api/mp_math/const.html b/ja/api/mp_math/const.html index 113538b..bc930f4 100644 --- a/ja/api/mp_math/const.html +++ b/ja/api/mp_math/const.html @@ -6,19 +6,19 @@ mbcp.mp_math.const | MBCP docs - + - + - - - + + + - - +
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mbcp.mp_math.const ​

説明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 説明: 常量 π

var E = math.e ​

  • 説明: 自然对数的底 exp(1)

var GOLDEN_RATIO = (1 + math.sqrt(5)) / 2 ​

  • 説明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 説明: 欧拉常数

var EPSILON = 0.0001 ​

  • 説明: 精度误差

var APPROX = 0.001 ​

  • 説明: 约等于判定误差

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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/ja/api/mp_math/equation.html b/ja/api/mp_math/equation.html index cf32f10..b90ca61 100644 --- a/ja/api/mp_math/equation.html +++ b/ja/api/mp_math/equation.html @@ -6,18 +6,40 @@ mbcp.mp_math.equation | MBCP docs - + - + - - - + + + -
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func get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc ​

説明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。

WARNING

目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升

引数:

  • 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

戻り値: 偏导函数

例外:

  • ValueError 无效变量类型
ソースコード
python
def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number=EPSILON) -> MultiVarsFunc:
+    
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mbcp.mp_math.equation ​
説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
ソースコード
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    """
+        曲线方程。
+        Args:
+            x_func: x函数
+            y_func: y函数
+            z_func: z函数
+        """
+    self.x_func = x_func
+    self.y_func = y_func
+    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
説明: 计算曲线上的点。
引数:
  • *t:
  • 参数:
戻り値: 目标点
ソースコード
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
+    """
+        计算曲线上的点。
+        Args:
+            *t:
+                参数
+        Returns:
+            目标点
+        """
+    if len(t) == 1:
+        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
+    else:
+        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc ​
説明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。
WARNING
目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升
引数:
  • 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
戻り値: 偏导函数
例外:
  • ValueError 无效变量类型
ソースコード
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。
     > [!warning]
@@ -59,7 +81,7 @@
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
func curry(*args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
引数:
  • func: 函数
  • *args: 参数
戻り値: 柯里化后的函数
ソースコード
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
+        raise ValueError('Invalid var type')
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
引数:
  • func: 函数
  • *args: 参数
戻り値: 柯里化后的函数
ソースコード
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
     """
     对多参数函数进行柯里化。
     > [!tip]
@@ -74,30 +96,8 @@
     def curried_func(*args2: Var) -> Var:
         """@litedoc-hide"""
         return func(*args, *args2)
-    return curried_func
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
ソースコード
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
-    """
-        曲线方程。
-        Args:
-            x_func: x函数
-            y_func: y函数
-            z_func: z函数
-        """
-    self.x_func = x_func
-    self.y_func = y_func
-    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
説明: 计算曲线上的点。
引数:
  • *t:
  • 参数:
ソースコード
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
-    """
-        计算曲线上的点。
-        Args:
-            *t:
-                参数
-        Returns:
-
-        """
-    if len(t) == 1:
-        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
-    else:
-        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])

-    
+    return curried_func

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+ \ No newline at end of file diff --git a/ja/api/mp_math/function.html b/ja/api/mp_math/function.html new file mode 100644 index 0000000..a5f04fa --- /dev/null +++ b/ja/api/mp_math/function.html @@ -0,0 +1,40 @@ + + + + + + mbcp.mp_math.function | MBCP docs + + + + + + + + + + + + + +
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mbcp.mp_math.function ​

説明: AAA

func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​

説明: 计算三元函数在某点的梯度向量。

TIP

已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)

引数:

  • func: 三元函数
  • p: 点
  • epsilon: 偏移量

戻り値: 梯度

ソースコード
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    """
+    计算三元函数在某点的梯度向量。
+    > [!tip]
+    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
+    $\\nabla f(x_0, y_0, z_0) = \\left(\\frac{\\partial f}{\\partial x}, \\frac{\\partial f}{\\partial y}, \\frac{\\partial f}{\\partial z}\\right)$
+    Args:
+        func: 三元函数
+        p: 点
+        epsilon: 偏移量
+    Returns:
+        梯度
+    """
+    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
+    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
+    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
+    return Vector3(dx, dy, dz)

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+ + + + \ No newline at end of file diff --git a/ja/api/mp_math/index.html b/ja/api/mp_math/index.html index 90e0b4a..cc6f857 100644 --- a/ja/api/mp_math/index.html +++ b/ja/api/mp_math/index.html @@ -6,19 +6,19 @@ mbcp.mp_math | MBCP docs - + - + - - - + + + - - +
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mbcp.mp_math ​

説明: 本包定义了一些常用的导入，可直接从mbcp.mp_math导入使用 导入的类有：

  • AnyAngle：任意角
  • CurveEquation：曲线方程
  • Line3：三维直线
  • Plane3：三维平面
  • Point3：三维点
  • Segment3：三维线段
  • Vector3：三维向量

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+ \ No newline at end of file diff --git a/ja/api/mp_math/line.html b/ja/api/mp_math/line.html index 07c8c72..2457d5b 100644 --- a/ja/api/mp_math/line.html +++ b/ja/api/mp_math/line.html @@ -6,18 +6,18 @@ mbcp.mp_math.line | MBCP docs - + - + - - - + + + -
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class Line3 ​

method __init__(self, point: Point3, direction: Vector3) ​

説明: 三维空间中的直线。由一个点和一个方向向量确定。

引数:

  • point: 直线上的一点
  • direction: 直线的方向向量
ソースコード
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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mbcp.mp_math.line ​
説明: 本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
引数:
  • point: 直线上的一点
  • direction: 直线的方向向量
ソースコード
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:
@@ -25,7 +25,7 @@
             direction: 直线的方向向量
         """
     self.point = point
-    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
説明: 判断两条直线是否近似相等。
引数:
  • other: 另一条直线
  • epsilon: 误差
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
+    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
説明: 判断两条直线是否近似相等。
引数:
  • other: 另一条直线
  • epsilon: 误差
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
     """
         判断两条直线是否近似相等。
         Args:
@@ -34,7 +34,7 @@
         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)
method cal_angle(self, other: Line3) -> AnyAngle ​
説明: 计算直线和直线之间的夹角。
引数:
  • other: 另一条直线
戻り値: 夹角弧度
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
+    return self.is_approx_parallel(other, epsilon) and (self.point - other.point).is_approx_parallel(self.direction, epsilon)
method cal_angle(self, other: Line3) -> AnyAngle ​
説明: 计算直线和直线之间的夹角。
引数:
  • other: 另一条直线
戻り値: 夹角弧度
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
     """
         计算直线和直线之间的夹角。
         Args:
@@ -44,7 +44,7 @@
         Raises:
             TypeError: 不支持的类型
         """
-    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
説明: 计算直线和直线或点之间的距离。
引数:
  • other: 平行直线或点
戻り値: 距离
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
+    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
説明: 计算直线和直线或点之间的距离。
引数:
  • other: 平行直线或点
戻り値: 距离
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
     """
         计算直线和直线或点之间的距离。
         Args:
@@ -67,7 +67,7 @@
     elif isinstance(other, Point3):
         return (other - self.point).cross(self.direction).length / self.direction.length
     else:
-        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
説明: 计算两条直线的交点。
引数:
  • other: 另一条直线
戻り値: 交点
例外:
  • ValueError 直线平行
  • ValueError 直线不共面
ソースコード
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
+        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
説明: 计算两条直线的交点。
引数:
  • other: 另一条直线
戻り値: 交点
例外:
  • ValueError 直线平行
  • ValueError 直线不共面
ソースコード
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
     """
         计算两条直线的交点。
         Args:
@@ -82,7 +82,7 @@
         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
method cal_perpendicular(self, point: Point3) -> Line3 ​
説明: 计算直线经过指定点p的垂线。
引数:
  • point: 指定点
戻り値: 垂线
ソースコード
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
+    return self.point + self.direction.cross(other.direction) @ other.direction.cross(self.point - other.point) / self.direction.cross(other.direction).length ** 2 * self.direction
method cal_perpendicular(self, point: Point3) -> Line3 ​
説明: 计算直线经过指定点p的垂线。
引数:
  • point: 指定点
戻り値: 垂线
ソースコード
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
     """
         计算直线经过指定点p的垂线。
         Args:
@@ -90,7 +90,7 @@
         Returns:
             垂线
         """
-    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
説明: 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。
引数:
  • t: 参数t
戻り値: 点
ソースコード
python
def get_point(self, t: RealNumber) -> 'Point3':
+    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
説明: 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。
引数:
  • t: 参数t
戻り値: 点
ソースコード
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:
@@ -98,13 +98,13 @@
         Returns:
             点
         """
-    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
説明: 获取直线的参数方程。
戻り値: x(t), y(t), z(t)
ソースコード
python
def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:
+    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
説明: 获取直线的参数方程。
戻り値: x(t), y(t), z(t)
ソースコード
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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
説明: 判断两条直线是否近似平行。
引数:
  • other: 另一条直线
  • epsilon: 误差
戻り値: 是否近似平行
ソースコード
python
def is_approx_parallel(self, other: 'Line3', epsilon: float=1e-06) -> bool:
+    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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
説明: 判断两条直线是否近似平行。
引数:
  • other: 另一条直线
  • epsilon: 误差
戻り値: 是否近似平行
ソースコード
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:
@@ -113,7 +113,7 @@
         Returns:
             是否近似平行
         """
-    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
説明: 判断两条直线是否平行。
引数:
  • other: 另一条直线
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Line3') -> bool:
+    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
説明: 判断两条直线是否平行。
引数:
  • other: 另一条直线
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Line3') -> bool:
     """
         判断两条直线是否平行。
         Args:
@@ -121,7 +121,7 @@
         Returns:
             是否平行
         """
-    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
説明: 判断两条直线是否共线。
引数:
  • other: 另一条直线
戻り値: 是否共线
ソースコード
python
def is_collinear(self, other: 'Line3') -> bool:
+    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
説明: 判断两条直线是否共线。
引数:
  • other: 另一条直线
戻り値: 是否共线
ソースコード
python
def is_collinear(self, other: 'Line3') -> bool:
     """
         判断两条直线是否共线。
         Args:
@@ -129,7 +129,7 @@
         Returns:
             是否共线
         """
-    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
説明: 判断点是否在直线上。
引数:
  • point: 点
戻り値: 是否在直线上
ソースコード
python
def is_point_on(self, point: 'Point3') -> bool:
+    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
説明: 判断点是否在直线上。
引数:
  • point: 点
戻り値: 是否在直线上
ソースコード
python
def is_point_on(self, point: 'Point3') -> bool:
     """
         判断点是否在直线上。
         Args:
@@ -137,7 +137,7 @@
         Returns:
             是否在直线上
         """
-    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
説明: 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。
引数:
  • other: 另一条直线
戻り値: 是否共面
ソースコード
python
def is_coplanar(self, other: 'Line3') -> bool:
+    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
説明: 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。
引数:
  • other: 另一条直线
戻り値: 是否共面
ソースコード
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。
@@ -146,7 +146,7 @@
         Returns:
             是否共面
         """
-    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
説明: 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
ソースコード
python
def simplify(self):
+    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
説明: 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
ソースコード
python
def simplify(self):
     """
         简化直线方程，等价相等。
         自体简化，不返回值。
@@ -159,7 +159,7 @@
     if self.direction.y == 0:
         self.point.y = 0
     if self.direction.z == 0:
-        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
説明: 工厂函数 由两点构造直线。
引数:
  • p1: 点1
  • p2: 点2
戻り値: 直线
ソースコード
python
@classmethod
+        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
説明: 工厂函数 由两点构造直线。
引数:
  • p1: 点1
  • p2: 点2
戻り値: 直线
ソースコード
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     """
         工厂函数 由两点构造直线。
@@ -170,7 +170,7 @@
             直线
         """
     direction = p2 - p1
-    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
説明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
引数:
  • other: 另一条直线
戻り値: 交点
ソースコード
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
説明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
引数:
  • other: 另一条直线
戻り値: 交点
ソースコード
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     """
         计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
         Args:
@@ -183,7 +183,7 @@
     elif self.is_parallel(other) or not self.is_coplanar(other):
         return None
     else:
-        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
説明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
引数:
  • other:
ソースコード
python
def __eq__(self, other) -> bool:
+        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
説明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
引数:
  • other:
ソースコード
python
def __eq__(self, other) -> bool:
     """
         判断两条直线是否等价。
 
@@ -194,8 +194,8 @@
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

-    
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

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+ \ No newline at end of file diff --git a/ja/api/mp_math/mp_math_typing.html b/ja/api/mp_math/mp_math_typing.html index eb0f2b8..315a40c 100644 --- a/ja/api/mp_math/mp_math_typing.html +++ b/ja/api/mp_math/mp_math_typing.html @@ -6,19 +6,19 @@ mbcp.mp_math.mp_math_typing | MBCP docs - + - + - - - + + + -
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var RealNumber = int | float ​

  • タイプ: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • タイプ: TypeAlias

  • 説明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 説明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • タイプ: TypeAlias

  • 説明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • タイプ: TypeAlias

  • 説明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 多元函数

- +
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mbcp.mp_math.mp_math_typing ​

説明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • タイプ: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • タイプ: TypeAlias

  • 説明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 説明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • タイプ: TypeAlias

  • 説明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • タイプ: TypeAlias

  • 説明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • タイプ: TypeAlias

  • 説明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • タイプ: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 多元函数

VitePress で構築されたドキュメント | litedoc によって生成されたAPIリファレンス

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/ja/api/mp_math/plane.html b/ja/api/mp_math/plane.html index d8b5121..177353d 100644 --- a/ja/api/mp_math/plane.html +++ b/ja/api/mp_math/plane.html @@ -6,18 +6,18 @@ mbcp.mp_math.plane | MBCP docs - + - + - - - + + + -
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class Plane3 ​

method __init__(self, a: float, b: float, c: float, d: float) ​

説明: 平面方程：ax + by + cz + d = 0

引数:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
ソースコード
python
def __init__(self, a: float, b: float, c: float, d: float):
+    
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mbcp.mp_math.plane ​
説明: 本模块定义了三维空间中的平面类
class Plane3 ​
method __init__(self, a: float, b: float, c: float, d: float) ​
説明: 平面方程：ax + by + cz + d = 0
引数:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
ソースコード
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -29,7 +29,7 @@
     self.a = a
     self.b = b
     self.c = c
-    self.d = d
method approx(self, other: Plane3) -> bool ​
説明: 判断两个平面是否近似相等。
引数:
  • other: 另一个平面
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Plane3') -> bool:
+    self.d = d
method approx(self, other: Plane3) -> bool ​
説明: 判断两个平面是否近似相等。
引数:
  • other: 另一个平面
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否近似相等。
         Args:
@@ -47,7 +47,7 @@
         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
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
説明: 计算平面与平面之间的夹角。
引数:
  • other: 另一个平面
戻り値: 夹角弧度
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
+        return False
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
説明: 计算平面与平面之间的夹角。
引数:
  • other: 另一个平面
戻り値: 夹角弧度
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     """
         计算平面与平面之间的夹角。
         Args:
@@ -62,7 +62,7 @@
     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)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
説明: 计算平面与平面或点之间的距离。
引数:
  • other: 另一个平面或点
戻り値: 距离
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
説明: 计算平面与平面或点之间的距离。
引数:
  • other: 另一个平面或点
戻り値: 距离
例外:
  • TypeError 不支持的类型
ソースコード
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
     """
         计算平面与平面或点之间的距离。
         Args:
@@ -77,7 +77,7 @@
     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)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
説明: 计算两平面的交线。
引数:
  • other: 另一个平面
戻り値: 两平面的交线
ソースコード
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
説明: 计算两平面的交线。
引数:
  • other: 另一个平面
戻り値: 两平面的交线
ソースコード
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     """
         计算两平面的交线。
         Args:
@@ -102,7 +102,7 @@
         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)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
説明: 计算平面与直线的交点。
引数:
  • other: 不与平面平行或在平面上的直线
戻り値: 交点
例外:
  • ValueError 平面与直线平行或重合
ソースコード
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
+    return Line3(Point3(x, y, z), direction)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
説明: 计算平面与直线的交点。
引数:
  • other: 不与平面平行或在平面上的直线
戻り値: 交点
例外:
  • ValueError 平面与直线平行或重合
ソースコード
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
     """
         计算平面与直线的交点。
         Args:
@@ -116,7 +116,7 @@
         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))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
説明: 计算平行于该平面且过指定点的平面。
引数:
  • point: 指定点
戻り値: 所求平面
ソースコード
python
def cal_parallel_plane3(self, point: 'Point3') -> 'Plane3':
+    return Point3(x(t), y(t), z(t))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
説明: 计算平行于该平面且过指定点的平面。
引数:
  • point: 指定点
戻り値: 所求平面
ソースコード
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:
@@ -124,7 +124,7 @@
         Returns:
             所求平面
         """
-    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
説明: 判断两个平面是否平行。
引数:
  • other: 另一个平面
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Plane3') -> bool:
+    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
説明: 判断两个平面是否平行。
引数:
  • other: 另一个平面
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否平行。
         Args:
@@ -132,14 +132,14 @@
         Returns:
             是否平行
         """
-    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
説明: 平面的法向量。
戻り値: 法向量
ソースコード
python
@property
+    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
説明: 平面的法向量。
戻り値: 法向量
ソースコード
python
@property
 def normal(self) -> 'Vector3':
     """
         平面的法向量。
         Returns:
             法向量
         """
-    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
説明: 工厂函数 由点和法向量构造平面(点法式构造)。
引数:
  • point: 平面上的一点
  • normal: 法向量
戻り値: 平面
ソースコード
python
@classmethod
+    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
説明: 工厂函数 由点和法向量构造平面(点法式构造)。
引数:
  • point: 平面上的一点
  • normal: 法向量
戻り値: 平面
ソースコード
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)。
@@ -151,7 +151,7 @@
         """
     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)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
説明: 工厂函数 由三点构造平面。
引数:
  • p1: 点1
  • p2: 点2
  • p3: 点3
戻り値: 平面
ソースコード
python
@classmethod
+    return cls(a, b, c, d)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
説明: 工厂函数 由三点构造平面。
引数:
  • p1: 点1
  • p2: 点2
  • p3: 点3
戻り値: 平面
ソースコード
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。
@@ -165,7 +165,7 @@
     v1 = p2 - p1
     v2 = p3 - p1
     normal = v1.cross(v2)
-    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
説明: 工厂函数 由两直线构造平面。
引数:
  • l1: 直线1
  • l2: 直线2
戻り値: 平面
ソースコード
python
@classmethod
+    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
説明: 工厂函数 由两直线构造平面。
引数:
  • l1: 直线1
  • l2: 直线2
戻り値: 平面
ソースコード
python
@classmethod
 def from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3':
     """
         工厂函数 由两直线构造平面。
@@ -179,7 +179,7 @@
     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))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
説明: 工厂函数 由点和直线构造平面。
引数:
  • point: 面上一点
  • line: 面上直线，不包含点
戻り値: 平面
ソースコード
python
@classmethod
+    return cls.from_point_and_normal(l1.point, v1.cross(v2))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
説明: 工厂函数 由点和直线构造平面。
引数:
  • point: 面上一点
  • line: 面上直线，不包含点
戻り値: 平面
ソースコード
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。
@@ -189,11 +189,11 @@
         Returns:
             平面
         """
-    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
ソースコード
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
ソースコード
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
ソースコード
python
@overload
+    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
ソースコード
python
@overload
 def __and__(self, other: 'Plane3') -> 'Line3 | None':
-    ...
method __and__(self, other) ​
説明: 取两平面的交集（人话：交线）
引数:
  • other:
戻り値: 不平行平面的交线，平面平行返回None
ソースコード
python
def __and__(self, other):
+    ...
method __and__(self, other) ​
説明: 取两平面的交集（人话：交线）
引数:
  • other:
戻り値: 不平行平面的交线，平面平行返回None
ソースコード
python
def __and__(self, other):
     """
         取两平面的交集（人话：交线）
         Args:
@@ -210,10 +210,10 @@
             return None
         return self.cal_intersection_point3(other)
     else:
-        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
ソースコード
python
def __eq__(self, other) -> bool:
-    return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
ソースコード
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)

-    
+        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

ソースコード
python
def __eq__(self, other) -> bool:
+    return self.approx(other)

method __rand__(self, other: Line3) -> Point3 ​

ソースコード
python
def __rand__(self, other: 'Line3') -> 'Point3':
+    return self.cal_intersection_point3(other)

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+ \ No newline at end of file diff --git a/ja/api/mp_math/point.html b/ja/api/mp_math/point.html index de2feb3..8039319 100644 --- a/ja/api/mp_math/point.html +++ b/ja/api/mp_math/point.html @@ -6,18 +6,18 @@ mbcp.mp_math.point | MBCP docs - + - + - - - + + + -
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class Point3 ​

method __init__(self, x: float, y: float, z: float) ​

説明: 笛卡尔坐标系中的点。

引数:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
ソースコード
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.point ​
説明: 本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
引数:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
ソースコード
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -27,7 +27,7 @@
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
説明: 判断两个点是否近似相等。
引数:
  • other:
  • epsilon:
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
説明: 判断两个点是否近似相等。
引数:
  • other:
  • epsilon:
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
     """
         判断两个点是否近似相等。
         Args:
@@ -37,11 +37,11 @@
         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])
@overload ​
method self + other: Vector3 => Point3 ​
ソースコード
python
@overload
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
@overload ​
method self + other: Vector3 => Point3 ​
ソースコード
python
@overload
 def __add__(self, other: 'Vector3') -> 'Point3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
ソースコード
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
ソースコード
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
説明: P + V -> P P + P -> P
引数:
  • other:
ソースコード
python
def __add__(self, other):
+    ...
method self + other ​
説明: P + V -> P P + P -> P
引数:
  • other:
ソースコード
python
def __add__(self, other):
     """
         P + V -> P
         P + P -> P
@@ -49,14 +49,14 @@
             other:
         Returns:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
説明: 判断两个点是否相等。
引数:
  • other:
ソースコード
python
def __eq__(self, other):
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
説明: 判断两个点是否相等。
引数:
  • other:
ソースコード
python
def __eq__(self, other):
     """
         判断两个点是否相等。
         Args:
             other:
         Returns:
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
説明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
引数:
  • other:
ソースコード
python
def __sub__(self, other: 'Point3') -> 'Vector3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
説明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
引数:
  • other:
ソースコード
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     """
         P - P -> V
 
@@ -67,8 +67,8 @@
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

-    
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/ja/api/mp_math/segment.html b/ja/api/mp_math/segment.html index a1dee82..42fd15e 100644 --- a/ja/api/mp_math/segment.html +++ b/ja/api/mp_math/segment.html @@ -6,18 +6,18 @@ mbcp.mp_math.segment | MBCP docs - + - + - - - + + + -
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class Segment3 ​

method __init__(self, p1: Point3, p2: Point3) ​

説明: 三维空间中的线段。 :param p1: :param p2:

ソースコード
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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mbcp.mp_math.segment ​
説明: 本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。 :param p1: :param p2:
ソースコード
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -30,8 +30,8 @@
     '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)

-    
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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+ \ No newline at end of file diff --git a/ja/api/mp_math/utils.html b/ja/api/mp_math/utils.html index e6c566e..941534f 100644 --- a/ja/api/mp_math/utils.html +++ b/ja/api/mp_math/utils.html @@ -6,18 +6,18 @@ mbcp.mp_math.utils | MBCP docs - + - + - - - + + + -
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func clamp() -> float ​

説明: 区间限定函数

引数:

  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值

戻り値: 限制后的值

ソースコード
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
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mbcp.mp_math.utils ​
説明: 本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
引数:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
戻り値: 限制后的值
ソースコード
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -28,7 +28,20 @@
     Returns:
         限制后的值
     """
-    return max(min(x, max_), min_)
func approx(x: float = 0.0, y: float = APPROX) -> bool ​
説明: 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。
引数:
  • x: 数1
  • y: 数2
  • epsilon: 误差
戻り値: 是否近似相等
ソースコード
python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
+    return max(min(x, max_), min_)
class Approx ​
method __init__(self, value: RealNumber) ​
ソースコード
python
def __init__(self, value: RealNumber):
+    self.value = value
method __eq__(self, other) ​
ソースコード
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) ​
ソースコード
python
def raise_type_error(self, other):
+    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
ソースコード
python
def __ne__(self, other):
+    return not self.__eq__(other)
func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool ​
説明: 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。
引数:
  • x: 数1
  • y: 数2
  • epsilon: 误差
戻り値: 是否近似相等
ソースコード
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:
@@ -38,7 +51,7 @@
     Returns:
         是否近似相等
     """
-    return abs(x - y) < epsilon
func sign(x: float = False) -> str ​
説明: 获取数的符号。
引数:
  • x: 数
  • only_neg: 是否只返回负数的符号
戻り値: 符号 + - ""
ソースコード
python
def sign(x: float, only_neg: bool=False) -> str:
+    return abs(x - y) < epsilon
func sign(x: float, only_neg: bool = False) -> str ​
説明: 获取数的符号。
引数:
  • x: 数
  • only_neg: 是否只返回负数的符号
戻り値: 符号 + - ""
ソースコード
python
def sign(x: float, only_neg: bool=False) -> str:
     """获取数的符号。
     Args:
         x: 数
@@ -51,7 +64,7 @@
     elif x < 0:
         return '-'
     else:
-        return ''
func sign_format(x: float = False) -> str ​
説明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
引数:
  • x: 数
  • only_neg: 是否只返回负数的符号
戻り値: 符号 + - ""
ソースコード
python
def sign_format(x: float, only_neg: bool=False) -> str:
+        return ''
func sign_format(x: float, only_neg: bool = False) -> str ​
説明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
引数:
  • x: 数
  • only_neg: 是否只返回负数的符号
戻り値: 符号 + - ""
ソースコード
python
def sign_format(x: float, only_neg: bool=False) -> str:
     """格式化符号数
     -1 -> -1
     1 -> +1
@@ -67,21 +80,8 @@
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
class Approx ​
method __init__(self, value: RealNumber) ​
ソースコード
python
def __init__(self, value: RealNumber):
-    self.value = value
method __eq__(self, other) ​
ソースコード
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) ​
ソースコード
python
def raise_type_error(self, other):
-    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
ソースコード
python
def __ne__(self, other):
-    return not self.__eq__(other)

-    
+        return ''

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+ \ No newline at end of file diff --git a/ja/api/mp_math/vector.html b/ja/api/mp_math/vector.html index 46b1ca8..f18761a 100644 --- a/ja/api/mp_math/vector.html +++ b/ja/api/mp_math/vector.html @@ -6,18 +6,18 @@ mbcp.mp_math.vector | MBCP docs - + - + - - - + + + -
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class Vector3 ​

method __init__(self, x: float, y: float, z: float) ​

説明: 3维向量

引数:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
ソースコード
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.vector ​
説明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
引数:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
ソースコード
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -27,7 +27,7 @@
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似相等。
引数:
  • other:
  • epsilon:
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似相等。
引数:
  • other:
  • epsilon:
戻り値: 是否近似相等
ソースコード
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
     """
         判断两个向量是否近似相等。
         Args:
@@ -37,7 +37,7 @@
         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])
method cal_angle(self, other: Vector3) -> AnyAngle ​
説明: 计算两个向量之间的夹角。
引数:
  • other: 另一个向量
戻り値: 夹角
ソースコード
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
method cal_angle(self, other: Vector3) -> AnyAngle ​
説明: 计算两个向量之间的夹角。
引数:
  • other: 另一个向量
戻り値: 夹角
ソースコード
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
     """
         计算两个向量之间的夹角。
         Args:
@@ -45,7 +45,7 @@
         Returns:
             夹角
         """
-    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
説明: 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。
引数:
  • other:
戻り値: 行列式的结果
ソースコード
python
def cross(self, other: 'Vector3') -> 'Vector3':
+    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
説明: 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。
引数:
  • other:
戻り値: 行列式的结果
ソースコード
python
def cross(self, other: 'Vector3') -> 'Vector3':
     """
         向量积 叉乘：v1 cross v2 -> v3
 
@@ -65,7 +65,7 @@
         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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似平行。
引数:
  • other: 另一个向量
  • epsilon: 允许的误差
戻り値: 是否近似平行
ソースコード
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似平行。
引数:
  • other: 另一个向量
  • epsilon: 允许的误差
戻り値: 是否近似平行
ソースコード
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:
@@ -74,7 +74,7 @@
         Returns:
             是否近似平行
         """
-    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
説明: 判断两个向量是否平行。
引数:
  • other: 另一个向量
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Vector3') -> bool:
+    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
説明: 判断两个向量是否平行。
引数:
  • other: 另一个向量
戻り値: 是否平行
ソースコード
python
def is_parallel(self, other: 'Vector3') -> bool:
     """
         判断两个向量是否平行。
         Args:
@@ -82,7 +82,7 @@
         Returns:
             是否平行
         """
-    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
説明: 将向量归一化。
自体归一化，不返回值。
ソースコード
python
def normalize(self):
+    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
説明: 将向量归一化。
自体归一化，不返回值。
ソースコード
python
def normalize(self):
     """
         将向量归一化。
 
@@ -91,32 +91,32 @@
     length = self.length
     self.x /= length
     self.y /= length
-    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
ソースコード
python
@property
+    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
ソースコード
python
@property
 def np_array(self) -> 'np.ndarray':
     """
         返回numpy数组
         Returns:
         """
-    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
説明: 向量的模。
戻り値: 模
ソースコード
python
@property
+    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
説明: 向量的模。
戻り値: 模
ソースコード
python
@property
 def length(self) -> float:
     """
         向量的模。
         Returns:
             模
         """
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
説明: 获取该向量的单位向量。
戻り値: 单位向量
ソースコード
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
説明: 获取该向量的单位向量。
戻り値: 单位向量
ソースコード
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
method __abs__(self) ​
ソースコード
python
def __abs__(self):
-    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
ソースコード
python
@overload
+    return self / self.length
method __abs__(self) ​
ソースコード
python
def __abs__(self):
+    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
ソースコード
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
ソースコード
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
ソースコード
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
説明: V + P -> P
V + V -> V
引数:
  • other:
ソースコード
python
def __add__(self, other):
+    ...
method self + other ​
説明: V + P -> P
V + V -> V
引数:
  • other:
ソースコード
python
def __add__(self, other):
     """
         V + P -> P
 
@@ -131,7 +131,7 @@
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
説明: 判断两个向量是否相等。
引数:
  • other:
戻り値: 是否相等
ソースコード
python
def __eq__(self, other):
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
説明: 判断两个向量是否相等。
引数:
  • other:
戻り値: 是否相等
ソースコード
python
def __eq__(self, other):
     """
         判断两个向量是否相等。
         Args:
@@ -139,7 +139,7 @@
         Returns:
             是否相等
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
説明: P + V -> P
别去点那边实现了。 :param other: :return:
ソースコード
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
説明: P + V -> P
别去点那边实现了。 :param other: :return:
ソースコード
python
def __radd__(self, other: 'Point3') -> 'Point3':
     """
         P + V -> P
 
@@ -147,11 +147,11 @@
         :param other:
         :return:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
ソースコード
python
@overload
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
ソースコード
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self - other: Point3 => Point3 ​
ソースコード
python
@overload
+    ...
@overload ​
method self - other: Point3 => Point3 ​
ソースコード
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...
method self - other ​
説明: V - P -> P
V - V -> V
引数:
  • other:
ソースコード
python
def __sub__(self, other):
+    ...
method self - other ​
説明: V - P -> P
V - V -> V
引数:
  • other:
ソースコード
python
def __sub__(self, other):
     """
         V - P -> P
 
@@ -165,7 +165,7 @@
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
説明: P - V -> P
引数:
  • other:
ソースコード
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
説明: P - V -> P
引数:
  • other:
ソースコード
python
def __rsub__(self, other: 'Point3'):
     """
         P - V -> P
         Args:
@@ -176,11 +176,11 @@
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
ソースコード
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
ソースコード
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self * other: RealNumber => Vector3 ​
ソースコード
python
@overload
+    ...
@overload ​
method self * other: RealNumber => Vector3 ​
ソースコード
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...
method self * other: int | float | Vector3 => Vector3 ​
説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
引数:
  • other:
ソースコード
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...
method self * other: int | float | Vector3 => Vector3 ​
説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
引数:
  • other:
ソースコード
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     """
         数组运算 非点乘。点乘使用@，叉乘使用cross。
         Args:
@@ -193,18 +193,18 @@
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
ソースコード
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
説明: 点乘。
引数:
  • other:
ソースコード
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
ソースコード
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
説明: 点乘。
引数:
  • other:
ソースコード
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
     """
         点乘。
         Args:
             other:
         Returns:
         """
-    return self.x * other.x + self.y * other.y + self.z * other.z
method self / other: RealNumber => Vector3 ​
ソースコード
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
-    return Vector3(self.x / other, self.y / other, self.z / other)
method - self ​
ソースコード
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • タイプ: Vector3
  • 説明: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • タイプ: Vector3
  • 説明: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • タイプ: Vector3
  • 説明: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • タイプ: Vector3
  • 説明: z轴单位向量

-    
+    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

ソースコード
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
+    return Vector3(self.x / other, self.y / other, self.z / other)

method - self ​

ソースコード
python
def __neg__(self):
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • タイプ: Vector3

  • 説明: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • タイプ: Vector3

  • 説明: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • タイプ: Vector3

  • 説明: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • タイプ: Vector3

  • 説明: z轴单位向量

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+ \ No newline at end of file diff --git a/ja/api/particle/index.html b/ja/api/particle/index.html index f408f31..18c9abe 100644 --- a/ja/api/particle/index.html +++ b/ja/api/particle/index.html @@ -6,19 +6,19 @@ mbcp.particle | MBCP docs - + - + - - - + + + - - +
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mbcp.particle ​

説明: 本模块定义了粒子生成相关的工具

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+ \ No newline at end of file diff --git a/ja/api/presets/index.html b/ja/api/presets/index.html index 75336a0..3f6583d 100644 --- a/ja/api/presets/index.html +++ b/ja/api/presets/index.html @@ -6,19 +6,19 @@ mbcp.presets | MBCP docs - + - + - - - + + + - - +
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mbcp.presets ​

説明: Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved

@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : snowykami@outlook.com @File : init.py @Software: PyCharm

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+ \ No newline at end of file diff --git a/ja/api/presets/model/index.html b/ja/api/presets/model/index.html index 5404213..b4003a6 100644 --- a/ja/api/presets/model/index.html +++ b/ja/api/presets/model/index.html @@ -6,18 +6,18 @@ mbcp.presets.model | MBCP docs - + - + - - - + + + -
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class GeometricModels ​

@staticmethod ​

method sphere(radius: float, density: float) ​

説明: 生成球体上的点集。

引数:

  • radius:
  • density:

戻り値: List[Point3]: 球体上的点集。

ソースコード
python
@staticmethod
+    
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mbcp.presets.model ​
説明: 几何模型点集
class GeometricModels ​
@staticmethod ​
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
引数:
  • radius:
  • density:
戻り値: List[Point3]: 球体上的点集。
ソースコード
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +34,8 @@
     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)]

-    
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/ja/guide/index.html b/ja/guide/index.html new file mode 100644 index 0000000..42402be --- /dev/null +++ b/ja/guide/index.html @@ -0,0 +1,24 @@ + + + + + + 开始不了一点 | MBCP docs + + + + + + + + + + + + + +
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开始不了一点 ​

∫12x111

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+ + + + \ No newline at end of file diff --git a/ja/index.html b/ja/index.html new file mode 100644 index 0000000..4235664 --- /dev/null +++ b/ja/index.html @@ -0,0 +1,24 @@ + + + + + + MBCP docs + + + + + + + + + + + + + +
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MBCP docs

More basic change particle

ジオメトリ演算とパーティクル作成のためのライブラリ

はじめる
API リファレンス

高可用性

シンプルなインターフェースを通じて、ほとんどのジオメトリ演算とパーティクル作成のニーズを実現しました

高集積度

numpy、scipy、およびsympyをラップして統合し、Geogebraを使用するように簡単にスクリプトを作成できます

組み込みプリセット

多くのプリセットを提供しており、一般的なジオメトリ図形やパーティクル効果など、迅速に作成できます

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+ + + + \ No newline at end of file diff --git a/md-ex.html b/md-ex.html deleted file mode 100644 index 0b4cf49..0000000 --- a/md-ex.html +++ /dev/null @@ -1,56 +0,0 @@ - - - - - - Markdown Extension Examples | MBCP docs - - - - - - - - - - - - - -
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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, with additional features like line-highlighting:

Input

md
```js{4}
-export default {
-  data () {
-    return {
-      msg: 'Highlighted!'
-    }
-  }
-}
-```

Output

js
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.

- - - - \ No newline at end of file diff --git a/zht/api/index.html b/zht/api/index.html index 38ec51f..d1e14e8 100644 --- a/zht/api/index.html +++ b/zht/api/index.html @@ -6,19 +6,19 @@ mbcp | MBCP docs - + - + - - - + + + - - +
MBCP docs

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mbcp ​

説明: 本模块塞了一些预设的粒子生成器

文檔由 VitePress 構建 | API引用由 litedoc 生成

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+ \ No newline at end of file diff --git a/zht/api/mp_math/angle.html b/zht/api/mp_math/angle.html index be17b2e..35c15e5 100644 --- a/zht/api/mp_math/angle.html +++ b/zht/api/mp_math/angle.html @@ -6,18 +6,18 @@ mbcp.mp_math.angle | MBCP docs - + - + - - - + + + -
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class Angle ​

class AnyAngle(Angle) ​

method __init__(self, value: float, is_radian: bool = False) ​

説明: 任意角度。

變數説明:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼
python
def __init__(self, value: float, is_radian: bool=False):
+    
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mbcp.mp_math.angle ​
説明: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
變數説明:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -27,96 +27,96 @@
     if is_radian:
         self.radian = value
     else:
-        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
説明: 余角：两角的和为90°。
返回: 余角
源碼
python
@property
+        self.radian = value * PI / 180
@property ​
method complementary(self) -> AnyAngle ​
説明: 余角：两角的和为90°。
返回: 余角
源碼
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)
@property ​
method supplementary(self) -> AnyAngle ​
説明: 补角：两角的和为180°。
返回: 补角
源碼
python
@property
+    return AnyAngle(PI / 2 - self.minimum_positive.radian, is_radian=True)
@property ​
method supplementary(self) -> AnyAngle ​
説明: 补角：两角的和为180°。
返回: 补角
源碼
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)
@property ​
method degree(self) -> float ​
説明: 角度。
返回: 弧度
源碼
python
@property
+    return AnyAngle(PI - self.minimum_positive.radian, is_radian=True)
@property ​
method degree(self) -> float ​
説明: 角度。
返回: 弧度
源碼
python
@property
 def degree(self) -> float:
     """
         角度。
         Returns:
             弧度
         """
-    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
説明: 最小正角。
返回: 最小正角度
源碼
python
@property
+    return self.radian * 180 / PI
@property ​
method minimum_positive(self) -> AnyAngle ​
説明: 最小正角。
返回: 最小正角度
源碼
python
@property
 def minimum_positive(self) -> 'AnyAngle':
     """
         最小正角。
         Returns:
             最小正角度
         """
-    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
説明: 最大负角。
返回: 最大负角度
源碼
python
@property
+    return AnyAngle(self.radian % (2 * PI))
@property ​
method maximum_negative(self) -> AnyAngle ​
説明: 最大负角。
返回: 最大负角度
源碼
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)
@property ​
method sin(self) -> float ​
説明: 正弦值。
返回: 正弦值
源碼
python
@property
+    return AnyAngle(-self.radian % (2 * PI), is_radian=True)
@property ​
method sin(self) -> float ​
説明: 正弦值。
返回: 正弦值
源碼
python
@property
 def sin(self) -> float:
     """
         正弦值。
         Returns:
             正弦值
         """
-    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
説明: 余弦值。
返回: 余弦值
源碼
python
@property
+    return math.sin(self.radian)
@property ​
method cos(self) -> float ​
説明: 余弦值。
返回: 余弦值
源碼
python
@property
 def cos(self) -> float:
     """
         余弦值。
         Returns:
             余弦值
         """
-    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
説明: 正切值。
返回: 正切值
源碼
python
@property
+    return math.cos(self.radian)
@property ​
method tan(self) -> float ​
説明: 正切值。
返回: 正切值
源碼
python
@property
 def tan(self) -> float:
     """
         正切值。
         Returns:
             正切值
         """
-    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
説明: 余切值。
返回: 余切值
源碼
python
@property
+    return math.tan(self.radian)
@property ​
method cot(self) -> float ​
説明: 余切值。
返回: 余切值
源碼
python
@property
 def cot(self) -> float:
     """
         余切值。
         Returns:
             余切值
         """
-    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
説明: 正割值。
返回: 正割值
源碼
python
@property
+    return 1 / math.tan(self.radian)
@property ​
method sec(self) -> float ​
説明: 正割值。
返回: 正割值
源碼
python
@property
 def sec(self) -> float:
     """
         正割值。
         Returns:
             正割值
         """
-    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
説明: 余割值。
返回: 余割值
源碼
python
@property
+    return 1 / math.cos(self.radian)
@property ​
method csc(self) -> float ​
説明: 余割值。
返回: 余割值
源碼
python
@property
 def csc(self) -> float:
     """
         余割值。
         Returns:
             余割值
         """
-    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
源碼
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
源碼
python
def __eq__(self, other):
-    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
源碼
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
-    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
源碼
python
def __mul__(self, other: float) -> 'AnyAngle':
-    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
源碼
python
@overload
+    return 1 / math.sin(self.radian)
method self + other: AnyAngle => AnyAngle ​
源碼
python
def __add__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian + other.radian, is_radian=True)
method __eq__(self, other) ​
源碼
python
def __eq__(self, other):
+    return approx(self.radian, other.radian)
method self - other: AnyAngle => AnyAngle ​
源碼
python
def __sub__(self, other: 'AnyAngle') -> 'AnyAngle':
+    return AnyAngle(self.radian - other.radian, is_radian=True)
method self * other: float => AnyAngle ​
源碼
python
def __mul__(self, other: float) -> 'AnyAngle':
+    return AnyAngle(self.radian * other, is_radian=True)
@overload ​
method self / other: float => AnyAngle ​
源碼
python
@overload
 def __truediv__(self, other: float) -> 'AnyAngle':
-    ...
@overload ​
method self / other: AnyAngle => float ​
源碼
python
@overload
+    ...
@overload ​
method self / other: AnyAngle => float ​
源碼
python
@overload
 def __truediv__(self, other: 'AnyAngle') -> float:
-    ...
method self / other ​
源碼
python
def __truediv__(self, other):
+    ...
method self / other ​
源碼
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)

-    
+    return AnyAngle(self.radian / other, is_radian=True)

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+ \ No newline at end of file diff --git a/zht/api/mp_math/const.html b/zht/api/mp_math/const.html index c3736b1..ff40d89 100644 --- a/zht/api/mp_math/const.html +++ b/zht/api/mp_math/const.html @@ -6,19 +6,19 @@ mbcp.mp_math.const | MBCP docs - + - + - - - + + + - - +
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mbcp.mp_math.const ​

説明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 説明: 常量 π

var E = math.e ​

  • 説明: 自然对数的底 exp(1)

var GOLDEN_RATIO = (1 + math.sqrt(5)) / 2 ​

  • 説明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 説明: 欧拉常数

var EPSILON = 0.0001 ​

  • 説明: 精度误差

var APPROX = 0.001 ​

  • 説明: 约等于判定误差

文檔由 VitePress 構建 | API引用由 litedoc 生成

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+ \ No newline at end of file diff --git a/zht/api/mp_math/equation.html b/zht/api/mp_math/equation.html index 1d25063..1c4ac9d 100644 --- a/zht/api/mp_math/equation.html +++ b/zht/api/mp_math/equation.html @@ -6,18 +6,40 @@ mbcp.mp_math.equation | MBCP docs - + - + - - - + + + -
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func get_partial_derivative_func(func: MultiVarsFunc = EPSILON) -> MultiVarsFunc ​

説明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。

WARNING

目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升

變數説明:

  • 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

返回: 偏导函数

抛出:

  • ValueError 无效变量类型
源碼
python
def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number=EPSILON) -> MultiVarsFunc:
+    
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mbcp.mp_math.equation ​
説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源碼
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    """
+        曲线方程。
+        Args:
+            x_func: x函数
+            y_func: y函数
+            z_func: z函数
+        """
+    self.x_func = x_func
+    self.y_func = y_func
+    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
説明: 计算曲线上的点。
變數説明:
  • *t:
  • 参数:
返回: 目标点
源碼
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
+    """
+        计算曲线上的点。
+        Args:
+            *t:
+                参数
+        Returns:
+            目标点
+        """
+    if len(t) == 1:
+        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
+    else:
+        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])
func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc ​
説明: 求N元函数一阶偏导函数。这玩意不太稳定，慎用。
WARNING
目前数学界对于一个函数的导函数并没有通解的说法，因此该函数的稳定性有待提升
變數説明:
  • 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
返回: 偏导函数
抛出:
  • ValueError 无效变量类型
源碼
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。
     > [!warning]
@@ -59,7 +81,7 @@
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
func curry(*args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
變數説明:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源碼
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
+        raise ValueError('Invalid var type')
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
變數説明:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源碼
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
     """
     对多参数函数进行柯里化。
     > [!tip]
@@ -74,30 +96,8 @@
     def curried_func(*args2: Var) -> Var:
         """@litedoc-hide"""
         return func(*args, *args2)
-    return curried_func
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源碼
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
-    """
-        曲线方程。
-        Args:
-            x_func: x函数
-            y_func: y函数
-            z_func: z函数
-        """
-    self.x_func = x_func
-    self.y_func = y_func
-    self.z_func = z_func
method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...] ​
説明: 计算曲线上的点。
變數説明:
  • *t:
  • 参数:
源碼
python
def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]:
-    """
-        计算曲线上的点。
-        Args:
-            *t:
-                参数
-        Returns:
-
-        """
-    if len(t) == 1:
-        return Point3(self.x_func(t[0]), self.y_func(t[0]), self.z_func(t[0]))
-    else:
-        return tuple([Point3(x, y, z) for x, y, z in zip(self.x_func(t), self.y_func(t), self.z_func(t))])

-    
+    return curried_func

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+ \ No newline at end of file diff --git a/zht/api/mp_math/function.html b/zht/api/mp_math/function.html new file mode 100644 index 0000000..9b3d3ae --- /dev/null +++ b/zht/api/mp_math/function.html @@ -0,0 +1,40 @@ + + + + + + mbcp.mp_math.function | MBCP docs + + + + + + + + + + + + + +
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mbcp.mp_math.function ​

説明: AAA

func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​

説明: 计算三元函数在某点的梯度向量。

TIP

已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)

變數説明:

  • func: 三元函数
  • p: 点
  • epsilon: 偏移量

返回: 梯度

源碼
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    """
+    计算三元函数在某点的梯度向量。
+    > [!tip]
+    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
+    $\\nabla f(x_0, y_0, z_0) = \\left(\\frac{\\partial f}{\\partial x}, \\frac{\\partial f}{\\partial y}, \\frac{\\partial f}{\\partial z}\\right)$
+    Args:
+        func: 三元函数
+        p: 点
+        epsilon: 偏移量
+    Returns:
+        梯度
+    """
+    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
+    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
+    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
+    return Vector3(dx, dy, dz)

文檔由 VitePress 構建 | API引用由 litedoc 生成

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+ + + + \ No newline at end of file diff --git a/zht/api/mp_math/index.html b/zht/api/mp_math/index.html index 199fadd..ec87a20 100644 --- a/zht/api/mp_math/index.html +++ b/zht/api/mp_math/index.html @@ -6,19 +6,19 @@ mbcp.mp_math | MBCP docs - + - + - - - + + + - - +
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mbcp.mp_math ​

説明: 本包定义了一些常用的导入，可直接从mbcp.mp_math导入使用 导入的类有：

  • AnyAngle：任意角
  • CurveEquation：曲线方程
  • Line3：三维直线
  • Plane3：三维平面
  • Point3：三维点
  • Segment3：三维线段
  • Vector3：三维向量

文檔由 VitePress 構建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/zht/api/mp_math/line.html b/zht/api/mp_math/line.html index 96e13ef..a3a811d 100644 --- a/zht/api/mp_math/line.html +++ b/zht/api/mp_math/line.html @@ -6,18 +6,18 @@ mbcp.mp_math.line | MBCP docs - + - + - - - + + + -
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class Line3 ​

method __init__(self, point: Point3, direction: Vector3) ​

説明: 三维空间中的直线。由一个点和一个方向向量确定。

變數説明:

  • point: 直线上的一点
  • direction: 直线的方向向量
源碼
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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mbcp.mp_math.line ​
説明: 本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
變數説明:
  • point: 直线上的一点
  • direction: 直线的方向向量
源碼
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:
@@ -25,7 +25,7 @@
             direction: 直线的方向向量
         """
     self.point = point
-    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
説明: 判断两条直线是否近似相等。
變數説明:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似相等
源碼
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
+    self.direction = direction
method approx(self, other: Line3, epsilon: float = APPROX) -> bool ​
説明: 判断两条直线是否近似相等。
變數説明:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似相等
源碼
python
def approx(self, other: 'Line3', epsilon: float=APPROX) -> bool:
     """
         判断两条直线是否近似相等。
         Args:
@@ -34,7 +34,7 @@
         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)
method cal_angle(self, other: Line3) -> AnyAngle ​
説明: 计算直线和直线之间的夹角。
變數説明:
  • other: 另一条直线
返回: 夹角弧度
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
+    return self.is_approx_parallel(other, epsilon) and (self.point - other.point).is_approx_parallel(self.direction, epsilon)
method cal_angle(self, other: Line3) -> AnyAngle ​
説明: 计算直线和直线之间的夹角。
變數説明:
  • other: 另一条直线
返回: 夹角弧度
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_angle(self, other: 'Line3') -> 'AnyAngle':
     """
         计算直线和直线之间的夹角。
         Args:
@@ -44,7 +44,7 @@
         Raises:
             TypeError: 不支持的类型
         """
-    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
説明: 计算直线和直线或点之间的距离。
變數説明:
  • other: 平行直线或点
返回: 距离
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
+    return self.direction.cal_angle(other.direction)
method cal_distance(self, other: Line3 | Point3) -> float ​
説明: 计算直线和直线或点之间的距离。
變數説明:
  • other: 平行直线或点
返回: 距离
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_distance(self, other: 'Line3 | Point3') -> float:
     """
         计算直线和直线或点之间的距离。
         Args:
@@ -67,7 +67,7 @@
     elif isinstance(other, Point3):
         return (other - self.point).cross(self.direction).length / self.direction.length
     else:
-        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
説明: 计算两条直线的交点。
變數説明:
  • other: 另一条直线
返回: 交点
抛出:
  • ValueError 直线平行
  • ValueError 直线不共面
源碼
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
+        raise TypeError('Unsupported type.')
method cal_intersection(self, other: Line3) -> Point3 ​
説明: 计算两条直线的交点。
變數説明:
  • other: 另一条直线
返回: 交点
抛出:
  • ValueError 直线平行
  • ValueError 直线不共面
源碼
python
def cal_intersection(self, other: 'Line3') -> 'Point3':
     """
         计算两条直线的交点。
         Args:
@@ -82,7 +82,7 @@
         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
method cal_perpendicular(self, point: Point3) -> Line3 ​
説明: 计算直线经过指定点p的垂线。
變數説明:
  • point: 指定点
返回: 垂线
源碼
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
+    return self.point + self.direction.cross(other.direction) @ other.direction.cross(self.point - other.point) / self.direction.cross(other.direction).length ** 2 * self.direction
method cal_perpendicular(self, point: Point3) -> Line3 ​
説明: 计算直线经过指定点p的垂线。
變數説明:
  • point: 指定点
返回: 垂线
源碼
python
def cal_perpendicular(self, point: 'Point3') -> 'Line3':
     """
         计算直线经过指定点p的垂线。
         Args:
@@ -90,7 +90,7 @@
         Returns:
             垂线
         """
-    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
説明: 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。
變數説明:
  • t: 参数t
返回: 点
源碼
python
def get_point(self, t: RealNumber) -> 'Point3':
+    return Line3(point, self.direction.cross(point - self.point))
method get_point(self, t: RealNumber) -> Point3 ​
説明: 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。
變數説明:
  • t: 参数t
返回: 点
源碼
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:
@@ -98,13 +98,13 @@
         Returns:
             点
         """
-    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
説明: 获取直线的参数方程。
返回: x(t), y(t), z(t)
源碼
python
def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]:
+    return self.point + t * self.direction
method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc] ​
説明: 获取直线的参数方程。
返回: x(t), y(t), z(t)
源碼
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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
説明: 判断两条直线是否近似平行。
變數説明:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似平行
源碼
python
def is_approx_parallel(self, other: 'Line3', epsilon: float=1e-06) -> bool:
+    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)
method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool ​
説明: 判断两条直线是否近似平行。
變數説明:
  • other: 另一条直线
  • epsilon: 误差
返回: 是否近似平行
源碼
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:
@@ -113,7 +113,7 @@
         Returns:
             是否近似平行
         """
-    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
説明: 判断两条直线是否平行。
變數説明:
  • other: 另一条直线
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Line3') -> bool:
+    return self.direction.is_approx_parallel(other.direction, epsilon)
method is_parallel(self, other: Line3) -> bool ​
説明: 判断两条直线是否平行。
變數説明:
  • other: 另一条直线
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Line3') -> bool:
     """
         判断两条直线是否平行。
         Args:
@@ -121,7 +121,7 @@
         Returns:
             是否平行
         """
-    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
説明: 判断两条直线是否共线。
變數説明:
  • other: 另一条直线
返回: 是否共线
源碼
python
def is_collinear(self, other: 'Line3') -> bool:
+    return self.direction.is_parallel(other.direction)
method is_collinear(self, other: Line3) -> bool ​
説明: 判断两条直线是否共线。
變數説明:
  • other: 另一条直线
返回: 是否共线
源碼
python
def is_collinear(self, other: 'Line3') -> bool:
     """
         判断两条直线是否共线。
         Args:
@@ -129,7 +129,7 @@
         Returns:
             是否共线
         """
-    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
説明: 判断点是否在直线上。
變數説明:
  • point: 点
返回: 是否在直线上
源碼
python
def is_point_on(self, point: 'Point3') -> bool:
+    return self.is_parallel(other) and (self.point - other.point).is_parallel(self.direction)
method is_point_on(self, point: Point3) -> bool ​
説明: 判断点是否在直线上。
變數説明:
  • point: 点
返回: 是否在直线上
源碼
python
def is_point_on(self, point: 'Point3') -> bool:
     """
         判断点是否在直线上。
         Args:
@@ -137,7 +137,7 @@
         Returns:
             是否在直线上
         """
-    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
説明: 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。
變數説明:
  • other: 另一条直线
返回: 是否共面
源碼
python
def is_coplanar(self, other: 'Line3') -> bool:
+    return (point - self.point).is_parallel(self.direction)
method is_coplanar(self, other: Line3) -> bool ​
説明: 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。
變數説明:
  • other: 另一条直线
返回: 是否共面
源碼
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。
@@ -146,7 +146,7 @@
         Returns:
             是否共面
         """
-    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
説明: 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
源碼
python
def simplify(self):
+    return self.direction.cross(other.direction) @ (self.point - other.point) == 0
method simplify(self) ​
説明: 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
源碼
python
def simplify(self):
     """
         简化直线方程，等价相等。
         自体简化，不返回值。
@@ -159,7 +159,7 @@
     if self.direction.y == 0:
         self.point.y = 0
     if self.direction.z == 0:
-        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
説明: 工厂函数 由两点构造直线。
變數説明:
  • p1: 点1
  • p2: 点2
返回: 直线
源碼
python
@classmethod
+        self.point.z = 0
@classmethod ​
method from_two_points(cls, p1: Point3, p2: Point3) -> Line3 ​
説明: 工厂函数 由两点构造直线。
變數説明:
  • p1: 点1
  • p2: 点2
返回: 直线
源碼
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     """
         工厂函数 由两点构造直线。
@@ -170,7 +170,7 @@
             直线
         """
     direction = p2 - p1
-    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
説明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
變數説明:
  • other: 另一条直线
返回: 交点
源碼
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)
method __and__(self, other: Line3) -> Line3 | Point3 | None ​
説明: 计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
變數説明:
  • other: 另一条直线
返回: 交点
源碼
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     """
         计算两条直线点集合的交集。重合线返回自身，平行线返回None，交线返回交点。
         Args:
@@ -183,7 +183,7 @@
     elif self.is_parallel(other) or not self.is_coplanar(other):
         return None
     else:
-        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
説明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
變數説明:
  • other:
源碼
python
def __eq__(self, other) -> bool:
+        return self.cal_intersection(other)
method __eq__(self, other) -> bool ​
説明: 判断两条直线是否等价。
v1 // v2 ∧ (p1 - p2) // v1
變數説明:
  • other:
源碼
python
def __eq__(self, other) -> bool:
     """
         判断两条直线是否等价。
 
@@ -194,8 +194,8 @@
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

-    
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/zht/api/mp_math/mp_math_typing.html b/zht/api/mp_math/mp_math_typing.html index 728f324..13c0b41 100644 --- a/zht/api/mp_math/mp_math_typing.html +++ b/zht/api/mp_math/mp_math_typing.html @@ -6,19 +6,19 @@ mbcp.mp_math.mp_math_typing | MBCP docs - + - + - - - + + + -
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var RealNumber = int | float ​

  • 類型: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • 類型: TypeAlias

  • 説明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 説明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 類型: TypeAlias

  • 説明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 類型: TypeAlias

  • 説明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 類型: TypeAlias

  • 説明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 類型: TypeAlias

  • 説明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • 類型: TypeAlias

  • 説明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 類型: TypeAlias

  • 説明: 多元函数

- +
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mbcp.mp_math.mp_math_typing ​

説明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • 類型: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • 類型: TypeAlias

  • 説明: 数

var SingleVar = TypeVar('SingleVar', bound=Number) ​

  • 説明: 单变量

var ArrayVar = TypeVar('ArrayVar', bound=Iterable[Number]) ​

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 類型: TypeAlias

  • 説明: 变量

var OneSingleVarFunc = Callable[[SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 一元单变量函数

var OneArrayFunc = Callable[[ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 類型: TypeAlias

  • 説明: 一元函数

var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 二元单变量函数

var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 類型: TypeAlias

  • 説明: 二元函数

var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar] ​

  • 類型: TypeAlias

  • 説明: 三元单变量函数

var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 類型: TypeAlias

  • 説明: 三元函数

var MultiSingleVarsFunc = Callable[..., SingleVar] ​

  • 類型: TypeAlias

  • 説明: 多元单变量函数

var MultiArraysFunc = Callable[..., ArrayVar] ​

  • 類型: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 類型: TypeAlias

  • 説明: 多元函数

文檔由 VitePress 構建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/zht/api/mp_math/plane.html b/zht/api/mp_math/plane.html index d321d38..5400a1a 100644 --- a/zht/api/mp_math/plane.html +++ b/zht/api/mp_math/plane.html @@ -6,18 +6,18 @@ mbcp.mp_math.plane | MBCP docs - + - + - - - + + + -
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class Plane3 ​

method __init__(self, a: float, b: float, c: float, d: float) ​

説明: 平面方程：ax + by + cz + d = 0

變數説明:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源碼
python
def __init__(self, a: float, b: float, c: float, d: float):
+    
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mbcp.mp_math.plane ​
説明: 本模块定义了三维空间中的平面类
class Plane3 ​
method __init__(self, a: float, b: float, c: float, d: float) ​
説明: 平面方程：ax + by + cz + d = 0
變數説明:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源碼
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -29,7 +29,7 @@
     self.a = a
     self.b = b
     self.c = c
-    self.d = d
method approx(self, other: Plane3) -> bool ​
説明: 判断两个平面是否近似相等。
變數説明:
  • other: 另一个平面
返回: 是否近似相等
源碼
python
def approx(self, other: 'Plane3') -> bool:
+    self.d = d
method approx(self, other: Plane3) -> bool ​
説明: 判断两个平面是否近似相等。
變數説明:
  • other: 另一个平面
返回: 是否近似相等
源碼
python
def approx(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否近似相等。
         Args:
@@ -47,7 +47,7 @@
         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
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
説明: 计算平面与平面之间的夹角。
變數説明:
  • other: 另一个平面
返回: 夹角弧度
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
+        return False
method cal_angle(self, other: Line3 | Plane3) -> AnyAngle ​
説明: 计算平面与平面之间的夹角。
變數説明:
  • other: 另一个平面
返回: 夹角弧度
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     """
         计算平面与平面之间的夹角。
         Args:
@@ -62,7 +62,7 @@
     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)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
説明: 计算平面与平面或点之间的距离。
變數説明:
  • other: 另一个平面或点
返回: 距离
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_distance(self, other: Plane3 | Point3) -> float ​
説明: 计算平面与平面或点之间的距离。
變數説明:
  • other: 另一个平面或点
返回: 距离
抛出:
  • TypeError 不支持的类型
源碼
python
def cal_distance(self, other: 'Plane3 | Point3') -> float:
     """
         计算平面与平面或点之间的距离。
         Args:
@@ -77,7 +77,7 @@
     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)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
説明: 计算两平面的交线。
變數説明:
  • other: 另一个平面
返回: 两平面的交线
源碼
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
+        raise TypeError(f'Unsupported type: {type(other)}')
method cal_intersection_line3(self, other: Plane3) -> Line3 ​
説明: 计算两平面的交线。
變數説明:
  • other: 另一个平面
返回: 两平面的交线
源碼
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     """
         计算两平面的交线。
         Args:
@@ -102,7 +102,7 @@
         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)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
説明: 计算平面与直线的交点。
變數説明:
  • other: 不与平面平行或在平面上的直线
返回: 交点
抛出:
  • ValueError 平面与直线平行或重合
源碼
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
+    return Line3(Point3(x, y, z), direction)
method cal_intersection_point3(self, other: Line3) -> Point3 ​
説明: 计算平面与直线的交点。
變數説明:
  • other: 不与平面平行或在平面上的直线
返回: 交点
抛出:
  • ValueError 平面与直线平行或重合
源碼
python
def cal_intersection_point3(self, other: 'Line3') -> 'Point3':
     """
         计算平面与直线的交点。
         Args:
@@ -116,7 +116,7 @@
         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))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
説明: 计算平行于该平面且过指定点的平面。
變數説明:
  • point: 指定点
返回: 所求平面
源碼
python
def cal_parallel_plane3(self, point: 'Point3') -> 'Plane3':
+    return Point3(x(t), y(t), z(t))
method cal_parallel_plane3(self, point: Point3) -> Plane3 ​
説明: 计算平行于该平面且过指定点的平面。
變數説明:
  • point: 指定点
返回: 所求平面
源碼
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:
@@ -124,7 +124,7 @@
         Returns:
             所求平面
         """
-    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
説明: 判断两个平面是否平行。
變數説明:
  • other: 另一个平面
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Plane3') -> bool:
+    return Plane3.from_point_and_normal(point, self.normal)
method is_parallel(self, other: Plane3) -> bool ​
説明: 判断两个平面是否平行。
變數説明:
  • other: 另一个平面
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Plane3') -> bool:
     """
         判断两个平面是否平行。
         Args:
@@ -132,14 +132,14 @@
         Returns:
             是否平行
         """
-    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
説明: 平面的法向量。
返回: 法向量
源碼
python
@property
+    return self.normal.is_parallel(other.normal)
@property ​
method normal(self) -> Vector3 ​
説明: 平面的法向量。
返回: 法向量
源碼
python
@property
 def normal(self) -> 'Vector3':
     """
         平面的法向量。
         Returns:
             法向量
         """
-    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
説明: 工厂函数 由点和法向量构造平面(点法式构造)。
變數説明:
  • point: 平面上的一点
  • normal: 法向量
返回: 平面
源碼
python
@classmethod
+    return Vector3(self.a, self.b, self.c)
@classmethod ​
method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3 ​
説明: 工厂函数 由点和法向量构造平面(点法式构造)。
變數説明:
  • point: 平面上的一点
  • normal: 法向量
返回: 平面
源碼
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)。
@@ -151,7 +151,7 @@
         """
     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)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
説明: 工厂函数 由三点构造平面。
變數説明:
  • p1: 点1
  • p2: 点2
  • p3: 点3
返回: 平面
源碼
python
@classmethod
+    return cls(a, b, c, d)
@classmethod ​
method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3 ​
説明: 工厂函数 由三点构造平面。
變數説明:
  • p1: 点1
  • p2: 点2
  • p3: 点3
返回: 平面
源碼
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。
@@ -165,7 +165,7 @@
     v1 = p2 - p1
     v2 = p3 - p1
     normal = v1.cross(v2)
-    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
説明: 工厂函数 由两直线构造平面。
變數説明:
  • l1: 直线1
  • l2: 直线2
返回: 平面
源碼
python
@classmethod
+    return cls.from_point_and_normal(p1, normal)
@classmethod ​
method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3 ​
説明: 工厂函数 由两直线构造平面。
變數説明:
  • l1: 直线1
  • l2: 直线2
返回: 平面
源碼
python
@classmethod
 def from_two_lines(cls, l1: 'Line3', l2: 'Line3') -> 'Plane3':
     """
         工厂函数 由两直线构造平面。
@@ -179,7 +179,7 @@
     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))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
説明: 工厂函数 由点和直线构造平面。
變數説明:
  • point: 面上一点
  • line: 面上直线，不包含点
返回: 平面
源碼
python
@classmethod
+    return cls.from_point_and_normal(l1.point, v1.cross(v2))
@classmethod ​
method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3 ​
説明: 工厂函数 由点和直线构造平面。
變數説明:
  • point: 面上一点
  • line: 面上直线，不包含点
返回: 平面
源碼
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。
@@ -189,11 +189,11 @@
         Returns:
             平面
         """
-    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
源碼
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload ​
method __and__(self, other: Line3) -> Point3 | None ​
源碼
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
源碼
python
@overload
+    ...
@overload ​
method __and__(self, other: Plane3) -> Line3 | None ​
源碼
python
@overload
 def __and__(self, other: 'Plane3') -> 'Line3 | None':
-    ...
method __and__(self, other) ​
説明: 取两平面的交集（人话：交线）
變數説明:
  • other:
返回: 不平行平面的交线，平面平行返回None
源碼
python
def __and__(self, other):
+    ...
method __and__(self, other) ​
説明: 取两平面的交集（人话：交线）
變數説明:
  • other:
返回: 不平行平面的交线，平面平行返回None
源碼
python
def __and__(self, other):
     """
         取两平面的交集（人话：交线）
         Args:
@@ -210,10 +210,10 @@
             return None
         return self.cal_intersection_point3(other)
     else:
-        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
源碼
python
def __eq__(self, other) -> bool:
-    return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
源碼
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)

-    
+        raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

源碼
python
def __eq__(self, other) -> bool:
+    return self.approx(other)

method __rand__(self, other: Line3) -> Point3 ​

源碼
python
def __rand__(self, other: 'Line3') -> 'Point3':
+    return self.cal_intersection_point3(other)

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+ \ No newline at end of file diff --git a/zht/api/mp_math/point.html b/zht/api/mp_math/point.html index 4b3cfe3..8af8b32 100644 --- a/zht/api/mp_math/point.html +++ b/zht/api/mp_math/point.html @@ -6,18 +6,18 @@ mbcp.mp_math.point | MBCP docs - + - + - - - + + + -
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class Point3 ​

method __init__(self, x: float, y: float, z: float) ​

説明: 笛卡尔坐标系中的点。

變數説明:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源碼
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.point ​
説明: 本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
變數説明:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源碼
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -27,7 +27,7 @@
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
説明: 判断两个点是否近似相等。
變數説明:
  • other:
  • epsilon:
返回: 是否近似相等
源碼
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Point3, epsilon: float = APPROX) -> bool ​
説明: 判断两个点是否近似相等。
變數説明:
  • other:
  • epsilon:
返回: 是否近似相等
源碼
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
     """
         判断两个点是否近似相等。
         Args:
@@ -37,11 +37,11 @@
         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])
@overload ​
method self + other: Vector3 => Point3 ​
源碼
python
@overload
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
@overload ​
method self + other: Vector3 => Point3 ​
源碼
python
@overload
 def __add__(self, other: 'Vector3') -> 'Point3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
源碼
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
源碼
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
説明: P + V -> P P + P -> P
變數説明:
  • other:
源碼
python
def __add__(self, other):
+    ...
method self + other ​
説明: P + V -> P P + P -> P
變數説明:
  • other:
源碼
python
def __add__(self, other):
     """
         P + V -> P
         P + P -> P
@@ -49,14 +49,14 @@
             other:
         Returns:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
説明: 判断两个点是否相等。
變數説明:
  • other:
源碼
python
def __eq__(self, other):
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
method __eq__(self, other) ​
説明: 判断两个点是否相等。
變數説明:
  • other:
源碼
python
def __eq__(self, other):
     """
         判断两个点是否相等。
         Args:
             other:
         Returns:
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
説明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
變數説明:
  • other:
源碼
python
def __sub__(self, other: 'Point3') -> 'Vector3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self - other: Point3 => Vector3 ​
説明: P - P -> V
P - V -> P 已在 :class:Vector3 中实现
變數説明:
  • other:
源碼
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     """
         P - P -> V
 
@@ -67,8 +67,8 @@
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

-    
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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+ \ No newline at end of file diff --git a/zht/api/mp_math/segment.html b/zht/api/mp_math/segment.html index 61b355d..38bf8f3 100644 --- a/zht/api/mp_math/segment.html +++ b/zht/api/mp_math/segment.html @@ -6,18 +6,18 @@ mbcp.mp_math.segment | MBCP docs - + - + - - - + + + -
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class Segment3 ​

method __init__(self, p1: Point3, p2: Point3) ​

説明: 三维空间中的线段。 :param p1: :param p2:

源碼
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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mbcp.mp_math.segment ​
説明: 本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。 :param p1: :param p2:
源碼
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -30,8 +30,8 @@
     '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)

-    
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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+ \ No newline at end of file diff --git a/zht/api/mp_math/utils.html b/zht/api/mp_math/utils.html index c155199..1cb2673 100644 --- a/zht/api/mp_math/utils.html +++ b/zht/api/mp_math/utils.html @@ -6,18 +6,18 @@ mbcp.mp_math.utils | MBCP docs - + - + - - - + + + -
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func clamp() -> float ​

説明: 区间限定函数

變數説明:

  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值

返回: 限制后的值

源碼
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
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mbcp.mp_math.utils ​
説明: 本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
變數説明:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
返回: 限制后的值
源碼
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -28,7 +28,20 @@
     Returns:
         限制后的值
     """
-    return max(min(x, max_), min_)
func approx(x: float = 0.0, y: float = APPROX) -> bool ​
説明: 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。
變數説明:
  • x: 数1
  • y: 数2
  • epsilon: 误差
返回: 是否近似相等
源碼
python
def approx(x: float, y: float=0.0, epsilon: float=APPROX) -> bool:
+    return max(min(x, max_), min_)
class Approx ​
method __init__(self, value: RealNumber) ​
源碼
python
def __init__(self, value: RealNumber):
+    self.value = value
method __eq__(self, other) ​
源碼
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) ​
源碼
python
def raise_type_error(self, other):
+    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
源碼
python
def __ne__(self, other):
+    return not self.__eq__(other)
func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool ​
説明: 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。
變數説明:
  • x: 数1
  • y: 数2
  • epsilon: 误差
返回: 是否近似相等
源碼
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:
@@ -38,7 +51,7 @@
     Returns:
         是否近似相等
     """
-    return abs(x - y) < epsilon
func sign(x: float = False) -> str ​
説明: 获取数的符号。
變數説明:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源碼
python
def sign(x: float, only_neg: bool=False) -> str:
+    return abs(x - y) < epsilon
func sign(x: float, only_neg: bool = False) -> str ​
説明: 获取数的符号。
變數説明:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源碼
python
def sign(x: float, only_neg: bool=False) -> str:
     """获取数的符号。
     Args:
         x: 数
@@ -51,7 +64,7 @@
     elif x < 0:
         return '-'
     else:
-        return ''
func sign_format(x: float = False) -> str ​
説明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
變數説明:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源碼
python
def sign_format(x: float, only_neg: bool=False) -> str:
+        return ''
func sign_format(x: float, only_neg: bool = False) -> str ​
説明: 格式化符号数 -1 -> -1 1 -> +1 0 -> ""
變數説明:
  • x: 数
  • only_neg: 是否只返回负数的符号
返回: 符号 + - ""
源碼
python
def sign_format(x: float, only_neg: bool=False) -> str:
     """格式化符号数
     -1 -> -1
     1 -> +1
@@ -67,21 +80,8 @@
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
class Approx ​
method __init__(self, value: RealNumber) ​
源碼
python
def __init__(self, value: RealNumber):
-    self.value = value
method __eq__(self, other) ​
源碼
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) ​
源碼
python
def raise_type_error(self, other):
-    raise TypeError(f'Unsupported type: {type(self.value)} and {type(other)}')
method __ne__(self, other) ​
源碼
python
def __ne__(self, other):
-    return not self.__eq__(other)

-    
+        return ''

文檔由 VitePress 構建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/zht/api/mp_math/vector.html b/zht/api/mp_math/vector.html index d44f8e1..8ceaccc 100644 --- a/zht/api/mp_math/vector.html +++ b/zht/api/mp_math/vector.html @@ -6,18 +6,18 @@ mbcp.mp_math.vector | MBCP docs - + - + - - - + + + -
MBCP docs

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class Vector3 ​

method __init__(self, x: float, y: float, z: float) ​

説明: 3维向量

變數説明:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源碼
python
def __init__(self, x: float, y: float, z: float):
+    
MBCP docs
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mbcp.mp_math.vector ​
説明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
變數説明:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源碼
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -27,7 +27,7 @@
         """
     self.x = x
     self.y = y
-    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似相等。
變數説明:
  • other:
  • epsilon:
返回: 是否近似相等
源碼
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    self.z = z
method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似相等。
變數説明:
  • other:
  • epsilon:
返回: 是否近似相等
源碼
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
     """
         判断两个向量是否近似相等。
         Args:
@@ -37,7 +37,7 @@
         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])
method cal_angle(self, other: Vector3) -> AnyAngle ​
説明: 计算两个向量之间的夹角。
變數説明:
  • other: 另一个向量
返回: 夹角
源碼
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
+    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])
method cal_angle(self, other: Vector3) -> AnyAngle ​
説明: 计算两个向量之间的夹角。
變數説明:
  • other: 另一个向量
返回: 夹角
源碼
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':
     """
         计算两个向量之间的夹角。
         Args:
@@ -45,7 +45,7 @@
         Returns:
             夹角
         """
-    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
説明: 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。
變數説明:
  • other:
返回: 行列式的结果
源碼
python
def cross(self, other: 'Vector3') -> 'Vector3':
+    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)
method cross(self, other: Vector3) -> Vector3 ​
説明: 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。
變數説明:
  • other:
返回: 行列式的结果
源碼
python
def cross(self, other: 'Vector3') -> 'Vector3':
     """
         向量积 叉乘：v1 cross v2 -> v3
 
@@ -65,7 +65,7 @@
         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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似平行。
變數説明:
  • other: 另一个向量
  • epsilon: 允许的误差
返回: 是否近似平行
源碼
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:
+    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)
method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​
説明: 判断两个向量是否近似平行。
變數説明:
  • other: 另一个向量
  • epsilon: 允许的误差
返回: 是否近似平行
源碼
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:
@@ -74,7 +74,7 @@
         Returns:
             是否近似平行
         """
-    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
説明: 判断两个向量是否平行。
變數説明:
  • other: 另一个向量
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Vector3') -> bool:
+    return self.cross(other).length < epsilon
method is_parallel(self, other: Vector3) -> bool ​
説明: 判断两个向量是否平行。
變數説明:
  • other: 另一个向量
返回: 是否平行
源碼
python
def is_parallel(self, other: 'Vector3') -> bool:
     """
         判断两个向量是否平行。
         Args:
@@ -82,7 +82,7 @@
         Returns:
             是否平行
         """
-    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
説明: 将向量归一化。
自体归一化，不返回值。
源碼
python
def normalize(self):
+    return self.cross(other).approx(zero_vector3)
method normalize(self) ​
説明: 将向量归一化。
自体归一化，不返回值。
源碼
python
def normalize(self):
     """
         将向量归一化。
 
@@ -91,32 +91,32 @@
     length = self.length
     self.x /= length
     self.y /= length
-    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
源碼
python
@property
+    self.z /= length
@property ​
method np_array(self) -> np.ndarray ​
源碼
python
@property
 def np_array(self) -> 'np.ndarray':
     """
         返回numpy数组
         Returns:
         """
-    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
説明: 向量的模。
返回: 模
源碼
python
@property
+    return np.array([self.x, self.y, self.z])
@property ​
method length(self) -> float ​
説明: 向量的模。
返回: 模
源碼
python
@property
 def length(self) -> float:
     """
         向量的模。
         Returns:
             模
         """
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
説明: 获取该向量的单位向量。
返回: 单位向量
源碼
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)
@property ​
method unit(self) -> Vector3 ​
説明: 获取该向量的单位向量。
返回: 单位向量
源碼
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
method __abs__(self) ​
源碼
python
def __abs__(self):
-    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
源碼
python
@overload
+    return self / self.length
method __abs__(self) ​
源碼
python
def __abs__(self):
+    return self.length
@overload ​
method self + other: Vector3 => Vector3 ​
源碼
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self + other: Point3 => Point3 ​
源碼
python
@overload
+    ...
@overload ​
method self + other: Point3 => Point3 ​
源碼
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...
method self + other ​
説明: V + P -> P
V + V -> V
變數説明:
  • other:
源碼
python
def __add__(self, other):
+    ...
method self + other ​
説明: V + P -> P
V + V -> V
變數説明:
  • other:
源碼
python
def __add__(self, other):
     """
         V + P -> P
 
@@ -131,7 +131,7 @@
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
説明: 判断两个向量是否相等。
變數説明:
  • other:
返回: 是否相等
源碼
python
def __eq__(self, other):
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")
method __eq__(self, other) ​
説明: 判断两个向量是否相等。
變數説明:
  • other:
返回: 是否相等
源碼
python
def __eq__(self, other):
     """
         判断两个向量是否相等。
         Args:
@@ -139,7 +139,7 @@
         Returns:
             是否相等
         """
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
説明: P + V -> P
别去点那边实现了。 :param other: :return:
源碼
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)
method self + other: Point3 => Point3 ​
説明: P + V -> P
别去点那边实现了。 :param other: :return:
源碼
python
def __radd__(self, other: 'Point3') -> 'Point3':
     """
         P + V -> P
 
@@ -147,11 +147,11 @@
         :param other:
         :return:
         """
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
源碼
python
@overload
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
@overload ​
method self - other: Vector3 => Vector3 ​
源碼
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self - other: Point3 => Point3 ​
源碼
python
@overload
+    ...
@overload ​
method self - other: Point3 => Point3 ​
源碼
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...
method self - other ​
説明: V - P -> P
V - V -> V
變數説明:
  • other:
源碼
python
def __sub__(self, other):
+    ...
method self - other ​
説明: V - P -> P
V - V -> V
變數説明:
  • other:
源碼
python
def __sub__(self, other):
     """
         V - P -> P
 
@@ -165,7 +165,7 @@
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
説明: P - V -> P
變數説明:
  • other:
源碼
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')
method self - other: Point3 ​
説明: P - V -> P
變數説明:
  • other:
源碼
python
def __rsub__(self, other: 'Point3'):
     """
         P - V -> P
         Args:
@@ -176,11 +176,11 @@
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
源碼
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")
@overload ​
method self * other: Vector3 => Vector3 ​
源碼
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...
@overload ​
method self * other: RealNumber => Vector3 ​
源碼
python
@overload
+    ...
@overload ​
method self * other: RealNumber => Vector3 ​
源碼
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...
method self * other: int | float | Vector3 => Vector3 ​
説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
變數説明:
  • other:
源碼
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...
method self * other: int | float | Vector3 => Vector3 ​
説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。
變數説明:
  • other:
源碼
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     """
         数组运算 非点乘。点乘使用@，叉乘使用cross。
         Args:
@@ -193,18 +193,18 @@
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
源碼
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
説明: 点乘。
變數説明:
  • other:
源碼
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")
method self * other: RealNumber => Vector3 ​
源碼
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)
method self @ other: Vector3 => RealNumber ​
説明: 点乘。
變數説明:
  • other:
源碼
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':
     """
         点乘。
         Args:
             other:
         Returns:
         """
-    return self.x * other.x + self.y * other.y + self.z * other.z
method self / other: RealNumber => Vector3 ​
源碼
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
-    return Vector3(self.x / other, self.y / other, self.z / other)
method - self ​
源碼
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • 類型: Vector3
  • 説明: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • 類型: Vector3
  • 説明: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • 類型: Vector3
  • 説明: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • 類型: Vector3
  • 説明: z轴单位向量

-    
+    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

源碼
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
+    return Vector3(self.x / other, self.y / other, self.z / other)

method - self ​

源碼
python
def __neg__(self):
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • 類型: Vector3

  • 説明: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • 類型: Vector3

  • 説明: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • 類型: Vector3

  • 説明: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • 類型: Vector3

  • 説明: z轴单位向量

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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/zht/api/particle/index.html b/zht/api/particle/index.html index 0c59267..4df31d4 100644 --- a/zht/api/particle/index.html +++ b/zht/api/particle/index.html @@ -6,19 +6,19 @@ mbcp.particle | MBCP docs - + - + - - - + + + - - + + \ No newline at end of file diff --git a/zht/api/presets/index.html b/zht/api/presets/index.html index 933ee51..8eb5f4c 100644 --- a/zht/api/presets/index.html +++ b/zht/api/presets/index.html @@ -6,19 +6,19 @@ mbcp.presets | MBCP docs - + - + - - - + + + - - +
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mbcp.presets ​

説明: Copyright (C) 2020-2024 LiteyukiStudio. All Rights Reserved

@Time : 2024/8/12 下午9:12 @Author : snowykami @Email : snowykami@outlook.com @File : init.py @Software: PyCharm

文檔由 VitePress 構建 | API引用由 litedoc 生成

Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

+ \ No newline at end of file diff --git a/zht/api/presets/model/index.html b/zht/api/presets/model/index.html index a0309f2..53c374d 100644 --- a/zht/api/presets/model/index.html +++ b/zht/api/presets/model/index.html @@ -6,18 +6,18 @@ mbcp.presets.model | MBCP docs - + - + - - - + + + -
MBCP docs

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class GeometricModels ​

@staticmethod ​

method sphere(radius: float, density: float) ​

説明: 生成球体上的点集。

變數説明:

  • radius:
  • density:

返回: List[Point3]: 球体上的点集。

源碼
python
@staticmethod
+    
MBCP docs
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mbcp.presets.model ​
説明: 几何模型点集
class GeometricModels ​
@staticmethod ​
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
變數説明:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源碼
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +34,8 @@
     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)]

-    
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

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More basic change particle

用於幾何運算和粒子製作的軟體庫

跟隨引導
API文檔

高度易用

通過簡單的接口，實現了大部分幾何運算及粒子製作的需求

高度集成

對numpy、scipy及sympy進行了封裝和集成，使腳本編寫像使用Geogebra一樣easy

內置預設

提供了大量的預設，包括常見的幾何圖形、粒子效果等，便於快速生產

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+ + + + \ No newline at end of file