diff --git a/404.html b/404.html index 42d03bf..2cd660b 100644 --- a/404.html +++ b/404.html @@ -6,9 +6,9 @@ 404 | MBCP 文档 - + - + @@ -16,7 +16,7 @@
- + \ No newline at end of file diff --git a/api/index.html b/api/index.html index bf11d1d..c499c90 100644 --- a/api/index.html +++ b/api/index.html @@ -6,10 +6,10 @@ mbcp | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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模块 mbcp ​

本模块是主模块，提供了一些工具 可导入

mbcp.mp_math：数学工具

mbcp.particle：粒子生成工具

mbcp.presets：预设

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 5e971c4..b9f329c 100644 --- a/api/mp_math/angle.html +++ b/api/mp_math/angle.html @@ -6,10 +6,10 @@ mbcp.mp_math.angle | MBCP 文档 - + - - + + @@ -56,7 +56,7 @@ if isinstance(other, AnyAngle): return self.radian / other.radian return AnyAngle(self.radian / other, is_radian=True) - + \ No newline at end of file diff --git a/api/mp_math/const.html b/api/mp_math/const.html index c55967e..85f7af9 100644 --- a/api/mp_math/const.html +++ b/api/mp_math/const.html @@ -6,10 +6,10 @@ mbcp.mp_math.const | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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模块 mbcp.mp_math.const ​

本模块定义了一些常用的常量

var PI ​

  • 说明: 常量 π

  • 默认值: math.pi

var E ​

  • 说明: 自然对数的底 exp(1)

  • 默认值: math.e

var GOLDEN_RATIO ​

  • 说明: 黄金分割比

  • 默认值: (1 + math.sqrt(5)) / 2

var GAMMA ​

  • 说明: 欧拉常数

  • 默认值: 0.5772156649015329

var EPSILON ​

  • 说明: 精度误差

  • 默认值: 0.0001

var APPROX ​

  • 说明: 约等于判定误差

  • 默认值: 0.001

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/equation.html b/api/mp_math/equation.html index 14ef05a..48f5f0a 100644 --- a/api/mp_math/equation.html +++ b/api/mp_math/equation.html @@ -6,10 +6,10 @@ mbcp.mp_math.equation | MBCP 文档 - + - - + + @@ -45,7 +45,7 @@ return high_order_partial_derivative_func else: raise ValueError('Invalid var type') - + \ No newline at end of file diff --git a/api/mp_math/function.html b/api/mp_math/function.html index bc4e85a..d66e992 100644 --- a/api/mp_math/function.html +++ b/api/mp_math/function.html @@ -6,10 +6,10 @@ mbcp.mp_math.function | MBCP 文档 - + - - + + @@ -30,7 +30,7 @@ def curried_func(*args2: Var) -> Var: return func(*args, *args2) return curried_func - + \ No newline at end of file diff --git a/api/mp_math/index.html b/api/mp_math/index.html index ae20195..cd054a1 100644 --- a/api/mp_math/index.html +++ b/api/mp_math/index.html @@ -6,10 +6,10 @@ mbcp.mp_math | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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模块 mbcp.mp_math ​

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：

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/line.html b/api/mp_math/line.html index 3877bc3..813c27b 100644 --- a/api/mp_math/line.html +++ b/api/mp_math/line.html @@ -6,12 +6,12 @@ mbcp.mp_math.line | MBCP 文档 - + - - + + - + @@ -58,7 +58,7 @@ 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:

返回: Line3: 直线

源代码 或 在GitHub上查看
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     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:

返回: Line3 | Point3 | None: 交集

源代码 或 在GitHub上查看
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)

method 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:

返回: Line3 | Point3 | None: 交集

源代码 或 在GitHub上查看
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     if self.is_collinear(other):
         return self
     elif self.is_parallel(other) or not self.is_coplanar(other):
@@ -66,7 +66,7 @@
     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:

返回: bool: 是否等价

源代码 或 在GitHub上查看
python
def __eq__(self, other) -> bool:
     return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
- + \ 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 b7dcad2..f134059 100644 --- a/api/mp_math/mp_math_typing.html +++ b/api/mp_math/mp_math_typing.html @@ -6,10 +6,10 @@ mbcp.mp_math.mp_math_typing | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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模块 mbcp.mp_math.mp_math_typing ​

本模块用于内部类型提示

var RealNumber ​

  • 说明: 实数

  • 类型: TypeAlias

  • 默认值: int | float

var Number ​

  • 说明: 数

  • 类型: TypeAlias

  • 默认值: RealNumber | complex

var SingleVar ​

  • 说明: 单变量

  • 默认值: TypeVar('SingleVar', bound=Number)

var ArrayVar ​

  • 说明: 数组变量

  • 默认值: TypeVar('ArrayVar', bound=Iterable[Number])

var Var ​

  • 说明: 变量

  • 类型: TypeAlias

  • 默认值: SingleVar | ArrayVar

var OneSingleVarFunc ​

  • 说明: 一元单变量函数

  • 类型: TypeAlias

  • 默认值: Callable[[SingleVar], SingleVar]

var OneArrayFunc ​

  • 说明: 一元数组函数

  • 类型: TypeAlias

  • 默认值: Callable[[ArrayVar], ArrayVar]

var OneVarFunc ​

  • 说明: 一元函数

  • 类型: TypeAlias

  • 默认值: OneSingleVarFunc | OneArrayFunc

var TwoSingleVarsFunc ​

  • 说明: 二元单变量函数

  • 类型: TypeAlias

  • 默认值: Callable[[SingleVar, SingleVar], SingleVar]

var TwoArraysFunc ​

  • 说明: 二元数组函数

  • 类型: TypeAlias

  • 默认值: Callable[[ArrayVar, ArrayVar], ArrayVar]

var TwoVarsFunc ​

  • 说明: 二元函数

  • 类型: TypeAlias

  • 默认值: TwoSingleVarsFunc | TwoArraysFunc

var ThreeSingleVarsFunc ​

  • 说明: 三元单变量函数

  • 类型: TypeAlias

  • 默认值: Callable[[SingleVar, SingleVar, SingleVar], SingleVar]

var ThreeArraysFunc ​

  • 说明: 三元数组函数

  • 类型: TypeAlias

  • 默认值: Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar]

var ThreeVarsFunc ​

  • 说明: 三元函数

  • 类型: TypeAlias

  • 默认值: ThreeSingleVarsFunc | ThreeArraysFunc

var MultiSingleVarsFunc ​

  • 说明: 多元单变量函数

  • 类型: TypeAlias

  • 默认值: Callable[..., SingleVar]

var MultiArraysFunc ​

  • 说明: 多元数组函数

  • 类型: TypeAlias

  • 默认值: Callable[..., ArrayVar]

var MultiVarsFunc ​

  • 说明: 多元函数

  • 类型: TypeAlias

  • 默认值: MultiSingleVarsFunc | MultiArraysFunc

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/plane.html b/api/mp_math/plane.html index 5e4a05a..afb79d0 100644 --- a/api/mp_math/plane.html +++ b/api/mp_math/plane.html @@ -6,12 +6,12 @@ mbcp.mp_math.plane | MBCP 文档 - + - - + + - + @@ -88,11 +88,11 @@ 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:

返回: 平面

源代码 或 在GitHub上查看
python
@classmethod
 def from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3':
-    return cls.from_point_and_normal(point, line.direction)

@overload

method __and__(self, other: Line3) -> Point3 | None ​

源代码 或 在GitHub上查看
python
@overload
+    return cls.from_point_and_normal(point, line.direction)

@overload

method self & other: Line3 => Point3 | None ​

源代码 或 在GitHub上查看
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...

@overload

method __and__(self, other: Plane3) -> Line3 | None ​

源代码 或 在GitHub上查看
python
@overload
+    ...

@overload

method self & other: Plane3 => Line3 | None ​

源代码 或 在GitHub上查看
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:

返回: Line3 | Point3 | None: 交集

引发:

源代码 或 在GitHub上查看
python
def __and__(self, other):
+    ...

method self & other ​

说明: 取两平面的交集（人话：交线）

参数:

返回: Line3 | Point3 | None: 交集

引发:

源代码 或 在GitHub上查看
python
def __and__(self, other):
     if isinstance(other, Plane3):
         if self.normal.is_parallel(other.normal):
             return None
@@ -105,7 +105,7 @@
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

说明: 判断两个平面是否等价。

参数:

返回: bool: 是否等价

源代码 或 在GitHub上查看
python
def __eq__(self, other) -> bool:
     return self.approx(other)

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

源代码 或 在GitHub上查看
python
def __rand__(self, other: 'Line3') -> 'Point3':
     return self.cal_intersection_point3(other)
- + \ No newline at end of file diff --git a/api/mp_math/point.html b/api/mp_math/point.html index 6aa37e8..09b91e5 100644 --- a/api/mp_math/point.html +++ b/api/mp_math/point.html @@ -6,10 +6,10 @@ mbcp.mp_math.point | MBCP 文档 - + - - + + @@ -31,7 +31,7 @@ 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 Vector3 中实现

参数:

返回: Vector3: 新的向量

源代码 或 在GitHub上查看
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
- + \ No newline at end of file diff --git a/api/mp_math/segment.html b/api/mp_math/segment.html index 8d9acf4..77e1c08 100644 --- a/api/mp_math/segment.html +++ b/api/mp_math/segment.html @@ -6,10 +6,10 @@ mbcp.mp_math.segment | MBCP 文档 - + - - + + @@ -27,7 +27,7 @@ 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) - + \ No newline at end of file diff --git a/api/mp_math/utils.html b/api/mp_math/utils.html index c61f6b5..1fccbf9 100644 --- a/api/mp_math/utils.html +++ b/api/mp_math/utils.html @@ -6,10 +6,10 @@ mbcp.mp_math.utils | MBCP 文档 - + - - + + @@ -46,7 +46,7 @@ return f'-{abs(x)}' else: return '' - + \ No newline at end of file diff --git a/api/mp_math/vector.html b/api/mp_math/vector.html index 553ddef..ef7eadd 100644 --- a/api/mp_math/vector.html +++ b/api/mp_math/vector.html @@ -6,10 +6,10 @@ mbcp.mp_math.vector | MBCP 文档 - + - - + + @@ -78,7 +78,7 @@ return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

源代码 或 在GitHub上查看
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
     return Vector3(self.x / other, self.y / other, self.z / other)

method - self => Vector3 ​

说明: 取负。

返回: Vector3: 负向量

源代码 或 在GitHub上查看
python
def __neg__(self) -> 'Vector3':
     return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 ​

var x_axis ​

var y_axis ​

var z_axis ​

- + \ No newline at end of file diff --git a/api/particle/index.html b/api/particle/index.html index 69c5d59..10dbe8a 100644 --- a/api/particle/index.html +++ b/api/particle/index.html @@ -6,10 +6,10 @@ mbcp.particle | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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模块 mbcp.particle ​

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 c3d6e92..c2fd4e5 100644 --- a/api/presets/index.html +++ b/api/presets/index.html @@ -6,10 +6,10 @@ mbcp.presets | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
MBCP 文档

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模块 mbcp.presets ​

本模块塞了一些预设

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 4821238..b8f929b 100644 --- a/api/presets/model/index.html +++ b/api/presets/model/index.html @@ -6,10 +6,10 @@ mbcp.presets.model | MBCP 文档 - + - - + + @@ -28,7 +28,7 @@ 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)] - + \ No newline at end of file diff --git a/assets/api_mp_math_line.md.Ld9EytA4.js b/assets/api_mp_math_line.md.lCQRkZtk.js similarity index 96% rename from assets/api_mp_math_line.md.Ld9EytA4.js rename to assets/api_mp_math_line.md.lCQRkZtk.js index 0420ad2..14c396c 100644 --- a/assets/api_mp_math_line.md.Ld9EytA4.js +++ b/assets/api_mp_math_line.md.lCQRkZtk.js @@ -38,7 +38,7 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E 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:

返回: Line3: 直线

源代码 或 在GitHub上查看
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     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:

返回: Line3 | Point3 | None: 交集

源代码 或 在GitHub上查看
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)

method 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:

返回: Line3 | Point3 | None: 交集

源代码 或 在GitHub上查看
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     if self.is_collinear(other):
         return self
     elif self.is_parallel(other) or not self.is_coplanar(other):
diff --git a/assets/api_mp_math_line.md.Ld9EytA4.lean.js b/assets/api_mp_math_line.md.lCQRkZtk.lean.js
similarity index 100%
rename from assets/api_mp_math_line.md.Ld9EytA4.lean.js
rename to assets/api_mp_math_line.md.lCQRkZtk.lean.js
diff --git a/assets/api_mp_math_plane.md.DRZNcHy5.js b/assets/api_mp_math_plane.md.2ZclJA1V.js
similarity index 97%
rename from assets/api_mp_math_plane.md.DRZNcHy5.js
rename to assets/api_mp_math_plane.md.2ZclJA1V.js
index e1a9cf1..0e257fc 100644
--- a/assets/api_mp_math_plane.md.DRZNcHy5.js
+++ b/assets/api_mp_math_plane.md.2ZclJA1V.js
@@ -1,4 +1,4 @@
-import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Zs=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"zh/api/mp_math/plane.md"}'),l={name:"api/mp_math/plane.md"},h=t(`
模块 mbcp.mp_math.plane ​
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 (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
源代码 或 在GitHub上查看
python
def __init__(self, a: float, b: float, c: float, d: float):
+import{_ as l,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Zs=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/plane.md","filePath":"zh/api/mp_math/plane.md"}'),n={name:"api/mp_math/plane.md"},h=t(`
模块 mbcp.mp_math.plane ​
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 (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
源代码 或 在GitHub上查看
python
def __init__(self, a: float, b: float, c: float, d: float):
     self.a = a
     self.b = b
     self.c = c
@@ -13,7 +13,7 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
         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。
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参数:
返回: AnyAngle: 夹角
引发:
源代码 或 在GitHub上查看
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。
`,16),p={class:"tip custom-block"},r=s("p",{class:"custom-block-title"},"TIP",-1),o=s("p",null,"平面间夹角计算公式:",-1),k={tabindex:"0",class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-2.17ex"},xmlns:"http://www.w3.org/2000/svg",width:"22.011ex",height:"5.206ex",role:"img",focusable:"false",viewBox:"0 -1342 9729 2301","aria-hidden":"true"},Q=t('',1),T=[Q],g=s("mjx-assistive-mml",{unselectable:"on",display:"block",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 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参数:
返回: AnyAngle: 夹角
引发:
源代码 或 在GitHub上查看
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     if isinstance(other, Line3):
         return self.normal.cal_angle(other.direction).complementary
     elif isinstance(other, Plane3):
@@ -25,7 +25,7 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
     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。
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参数:
  • other (Plane3): 另一个平面
返回: Line3: 交线
引发:
源代码 或 在GitHub上查看
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。
`,16),R={class:"tip custom-block"},J=s("p",{class:"custom-block-title"},"TIP",-1),O=s("p",null,"计算两平面交线的一般步骤:",-1),$=s("ol",null,[s("li",null,"求两平面的法向量的叉乘得到方向向量")],-1),U={tabindex:"0",class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},K={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"11.937ex",height:"1.756ex",role:"img",focusable:"false",viewBox:"0 -694 5276 776","aria-hidden":"true"},W=t('',1),X=[W],Y=s("mjx-assistive-mml",{unselectable:"on",display:"block",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 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0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"x"),s("mo",null,"="),s("mn",null,"0")])],-1),ns={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},hs={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.464ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.257ex",height:"1.971ex",role:"img",focusable:"false",viewBox:"0 -666 2323.6 871","aria-hidden":"true"},ps=t('',1),rs=[ps],os=s("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 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0",position:"relative"}},bs={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.991ex"},xmlns:"http://www.w3.org/2000/svg",width:"27.19ex",height:"4.839ex",role:"img",focusable:"false",viewBox:"0 -1259 12018.1 2139","aria-hidden":"true"},_s=t('',1),Cs=[_s],xs=s("mjx-assistive-mml",{unselectable:"on",display:"block",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",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mfrac",null,[s("mrow",null,[s("mi",null,"x"),s("mo",null,"−"),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")])]),s("mi",null,"m")]),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mi",null,"y"),s("mo",null,"−"),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")])]),s("mi",null,"n")]),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mi",null,"z"),s("mo",null,"−"),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")])]),s("mi",null,"p")])])],-1),ws=t(`
参数:
  • other (Plane3): 另一个平面
返回: Line3: 交线
引发:
源代码 或 在GitHub上查看
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     if self.normal.is_parallel(other.normal):
         raise ValueError('Planes are parallel and have no intersection.')
     direction = self.normal.cross(other.normal)
@@ -68,11 +68,11 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
         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:
返回: 平面
源代码 或 在GitHub上查看
python
@classmethod
 def from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3':
-    return cls.from_point_and_normal(point, line.direction)
@overload
method __and__(self, other: Line3) -> Point3 | None ​
源代码 或 在GitHub上查看
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload
method self & other: Line3 => Point3 | None ​
源代码 或 在GitHub上查看
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload
method __and__(self, other: Plane3) -> Line3 | None ​
源代码 或 在GitHub上查看
python
@overload
+    ...
@overload
method self & other: Plane3 => Line3 | None ​
源代码 或 在GitHub上查看
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:
返回: Line3 | Point3 | None: 交集
引发:
源代码 或 在GitHub上查看
python
def __and__(self, other):
+    ...
method self & other ​
说明: 取两平面的交集（人话：交线）
参数:
返回: Line3 | Point3 | None: 交集
引发:
源代码 或 在GitHub上查看
python
def __and__(self, other):
     if isinstance(other, Plane3):
         if self.normal.is_parallel(other.normal):
             return None
@@ -84,4 +84,4 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
     else:
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
说明: 判断两个平面是否等价。
参数:
  • other (Plane3): 另一个平面
返回: bool: 是否等价
源代码 或 在GitHub上查看
python
def __eq__(self, other) -> bool:
     return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
源代码 或 在GitHub上查看
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
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+    return self.cal_intersection_point3(other)
`,81);function Hs(Ls,Ds,As,vs,Bs,Ms){return i(),a("div",null,[h,s("div",p,[r,o,s("mjx-container",k,[(i(),a("svg",d,T)),g]),s("p",null,[e("其中 "),s("mjx-container",m,[(i(),a("svg",c,y)),u]),e(" 和 "),s("mjx-container",F,[(i(),a("svg",f,_)),C]),e(" 分别为两个平面的法向量")])]),s("div",x,[w,H,s("mjx-container",L,[(i(),a("svg",D,v)),B]),s("p",null,[e("其中 "),s("mjx-container",M,[(i(),a("svg",V,P)),q]),e(" 为平面的法向量，"),s("mjx-container",S,[(i(),a("svg",j,z)),G]),e(" 为直线的方向向量")])]),I,s("div",R,[J,O,$,s("mjx-container",U,[(i(),a("svg",K,X)),Y]),s("ol",ss,[s("li",null,[e("寻找直线上的一点，依次假设"),s("mjx-container",as,[(i(),a("svg",is,es)),ls]),e(", "),s("mjx-container",ns,[(i(),a("svg",hs,rs)),os]),e(", "),s("mjx-container",ks,[(i(),a("svg",ds,Ts)),gs]),e("，并代入两平面方程求出合适的点 直线最终可用参数方程或点向式表示")])]),s("mjx-container",ms,[(i(),a("svg",cs,ys)),us]),Fs,s("mjx-container",fs,[(i(),a("svg",bs,Cs)),xs])]),ws])}const Ps=l(n,[["render",Hs]]);export{Zs as __pageData,Ps as default};
diff --git a/assets/api_mp_math_plane.md.DRZNcHy5.lean.js b/assets/api_mp_math_plane.md.2ZclJA1V.lean.js
similarity index 95%
rename from assets/api_mp_math_plane.md.DRZNcHy5.lean.js
rename to assets/api_mp_math_plane.md.2ZclJA1V.lean.js
index 6c117e1..e746214 100644
--- a/assets/api_mp_math_plane.md.DRZNcHy5.lean.js
+++ b/assets/api_mp_math_plane.md.2ZclJA1V.lean.js
@@ -1 +1 @@
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diff --git a/assets/app.BUlGQzcU.js b/assets/app.BnE8Xesd.js
similarity index 95%
rename from assets/app.BUlGQzcU.js
rename to assets/app.BnE8Xesd.js
index cfe0134..7a979cb 100644
--- a/assets/app.BUlGQzcU.js
+++ b/assets/app.BnE8Xesd.js
@@ -1 +1 @@
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+import{t as p}from"./chunks/theme.Cq7NoE_k.js";import{U as o,a5 as u,a6 as c,a7 as l,a8 as f,a9 as d,aa as m,ab as h,ac as g,ad as A,ae as y,d as P,u as v,y as C,x as b,af as w,ag as E,ah as R,ai as S}from"./chunks/framework.DpC1ZpOZ.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(p),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/@localSearchIndexen.BJkPsfRt.js b/assets/chunks/@localSearchIndexen.BJkPsfRt.js
new file mode 100644
index 0000000..74d4302
--- /dev/null
+++ b/assets/chunks/@localSearchIndexen.BJkPsfRt.js
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mbcp.mp_math.mp_math_typing","titles":[]},"59":{"title":"var RealNumber","titles":["模組 mbcp.mp_math.mp_math_typing"]},"60":{"title":"var Number","titles":["模組 mbcp.mp_math.mp_math_typing"]},"61":{"title":"var SingleVar","titles":["模組 mbcp.mp_math.mp_math_typing"]},"62":{"title":"var ArrayVar","titles":["模組 mbcp.mp_math.mp_math_typing"]},"63":{"title":"var Var","titles":["模組 mbcp.mp_math.mp_math_typing"]},"64":{"title":"var OneSingleVarFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"65":{"title":"var OneArrayFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"66":{"title":"var OneVarFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"67":{"title":"var TwoSingleVarsFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"68":{"title":"var TwoArraysFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"69":{"title":"var TwoVarsFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"70":{"title":"var ThreeSingleVarsFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"71":{"title":"var 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diff --git a/assets/chunks/theme.4Aq0plHp.js b/assets/chunks/theme.Cq7NoE_k.js
similarity index 99%
rename from assets/chunks/theme.4Aq0plHp.js
rename to assets/chunks/theme.Cq7NoE_k.js
index 60774e7..1ab902d 100644
--- a/assets/chunks/theme.4Aq0plHp.js
+++ b/assets/chunks/theme.Cq7NoE_k.js
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diff --git a/assets/en_api_mp_math_line.md.Bd5Z3iC3.js b/assets/en_api_mp_math_line.md.DFwE8llX.js
similarity index 96%
rename from assets/en_api_mp_math_line.md.Bd5Z3iC3.js
rename to assets/en_api_mp_math_line.md.DFwE8llX.js
index 30b81c6..07428d2 100644
--- a/assets/en_api_mp_math_line.md.Bd5Z3iC3.js
+++ b/assets/en_api_mp_math_line.md.DFwE8llX.js
@@ -38,7 +38,7 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E
         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:

Return: Line3: 直线

Source code or View on GitHub
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     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:

Return: Line3 | Point3 | None: 交集

Source code or View on GitHub
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)

method 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:

Return: Line3 | Point3 | None: 交集

Source code or View on GitHub
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     if self.is_collinear(other):
         return self
     elif self.is_parallel(other) or not self.is_coplanar(other):
diff --git a/assets/en_api_mp_math_line.md.Bd5Z3iC3.lean.js b/assets/en_api_mp_math_line.md.DFwE8llX.lean.js
similarity index 100%
rename from assets/en_api_mp_math_line.md.Bd5Z3iC3.lean.js
rename to assets/en_api_mp_math_line.md.DFwE8llX.lean.js
diff --git a/assets/en_api_mp_math_plane.md.D91Vt6aU.js b/assets/en_api_mp_math_plane.md.CBNCeDF4.js
similarity index 97%
rename from assets/en_api_mp_math_plane.md.D91Vt6aU.js
rename to assets/en_api_mp_math_plane.md.CBNCeDF4.js
index f8a4dc1..4260098 100644
--- a/assets/en_api_mp_math_plane.md.D91Vt6aU.js
+++ b/assets/en_api_mp_math_plane.md.CBNCeDF4.js
@@ -13,7 +13,7 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
         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。

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Arguments:

Return: AnyAngle: 夹角

Raises:

Source code or View on GitHub
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。

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Arguments:

Return: AnyAngle: 夹角

Raises:

Source code or View on GitHub
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     if isinstance(other, Line3):
         return self.normal.cal_angle(other.direction).complementary
     elif isinstance(other, Plane3):
@@ -25,7 +25,7 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
     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。

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Arguments:

Return: Line3: 交线

Raises:

Source code or View on GitHub
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。

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Arguments:

Return: Line3: 交线

Raises:

Source code or View on GitHub
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     if self.normal.is_parallel(other.normal):
         raise ValueError('Planes are parallel and have no intersection.')
     direction = self.normal.cross(other.normal)
@@ -68,11 +68,11 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
         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:

Return: 平面

Source code or View on GitHub
python
@classmethod
 def from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3':
-    return cls.from_point_and_normal(point, line.direction)

@overload

method __and__(self, other: Line3) -> Point3 | None ​

Source code or View on GitHub
python
@overload
+    return cls.from_point_and_normal(point, line.direction)

@overload

method self & other: Line3 => Point3 | None ​

Source code or View on GitHub
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...

@overload

method __and__(self, other: Plane3) -> Line3 | None ​

Source code or View on GitHub
python
@overload
+    ...

@overload

method self & other: Plane3 => Line3 | None ​

Source code or View on GitHub
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:

Return: Line3 | Point3 | None: 交集

Raises:

Source code or View on GitHub
python
def __and__(self, other):
+    ...

method self & other ​

Description: 取两平面的交集（人话：交线）

Arguments:

Return: Line3 | Point3 | None: 交集

Raises:

Source code or View on GitHub
python
def __and__(self, other):
     if isinstance(other, Plane3):
         if self.normal.is_parallel(other.normal):
             return None
@@ -84,4 +84,4 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
     else:
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

Description: 判断两个平面是否等价。

Arguments:

Return: bool: 是否等价

Source code or View on GitHub
python
def __eq__(self, other) -> bool:
     return self.approx(other)

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

Source code or View on GitHub
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
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为平面的法向量，"),s("mjx-container",S,[(i(),a("svg",j,N)),z]),e(" 为直线的方向向量")])]),G,s("div",I,[J,O,$,s("mjx-container",U,[(i(),a("svg",K,X)),Y]),s("ol",ss,[s("li",null,[e("寻找直线上的一点，依次假设"),s("mjx-container",as,[(i(),a("svg",is,es)),ns]),e(", "),s("mjx-container",ls,[(i(),a("svg",hs,rs)),os]),e(", "),s("mjx-container",ks,[(i(),a("svg",ds,Ts)),gs]),e("，并代入两平面方程求出合适的点 直线最终可用参数方程或点向式表示")])]),s("mjx-container",ms,[(i(),a("svg",cs,ys)),us]),Fs,s("mjx-container",fs,[(i(),a("svg",bs,Cs)),xs])]),ws])}const Ps=n(l,[["render",Hs]]);export{Zs as __pageData,Ps as default}; diff --git a/assets/ja_api_mp_math_line.md.BbbGydDH.js b/assets/ja_api_mp_math_line.md.CMckwGpV.js similarity index 96% rename from assets/ja_api_mp_math_line.md.BbbGydDH.js rename to assets/ja_api_mp_math_line.md.CMckwGpV.js index 984e8d0..1ffcad7 100644 --- a/assets/ja_api_mp_math_line.md.BbbGydDH.js +++ b/assets/ja_api_mp_math_line.md.CMckwGpV.js @@ -38,7 +38,7 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E 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:

戻り値: Line3: 直线

ソースコード または GitHubで表示
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     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:

戻り値: Line3 | Point3 | None: 交集

ソースコード または GitHubで表示
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)

method 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:

戻り値: Line3 | Point3 | None: 交集

ソースコード または GitHubで表示
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     if self.is_collinear(other):
         return self
     elif self.is_parallel(other) or not self.is_coplanar(other):
diff --git a/assets/ja_api_mp_math_line.md.BbbGydDH.lean.js b/assets/ja_api_mp_math_line.md.CMckwGpV.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_line.md.BbbGydDH.lean.js
rename to assets/ja_api_mp_math_line.md.CMckwGpV.lean.js
diff --git a/assets/ja_api_mp_math_plane.md.BvT51o_C.js b/assets/ja_api_mp_math_plane.md.D549kBN0.js
similarity index 97%
rename from assets/ja_api_mp_math_plane.md.BvT51o_C.js
rename to assets/ja_api_mp_math_plane.md.D549kBN0.js
index 17c8542..246a27f 100644
--- a/assets/ja_api_mp_math_plane.md.BvT51o_C.js
+++ b/assets/ja_api_mp_math_plane.md.D549kBN0.js
@@ -1,4 +1,4 @@
-import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Zs=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/plane.md","filePath":"ja/api/mp_math/plane.md"}'),l={name:"ja/api/mp_math/plane.md"},h=t(`
モジュール mbcp.mp_math.plane ​
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 (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
ソースコード または GitHubで表示
python
def __init__(self, a: float, b: float, c: float, d: float):
+import{_ as l,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Zs=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/plane.md","filePath":"ja/api/mp_math/plane.md"}'),n={name:"ja/api/mp_math/plane.md"},h=t(`
モジュール mbcp.mp_math.plane ​
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 (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
ソースコード または GitHubで表示
python
def __init__(self, a: float, b: float, c: float, d: float):
     self.a = a
     self.b = b
     self.c = c
@@ -13,7 +13,7 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
         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。
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引数:
戻り値: AnyAngle: 夹角
例外:
ソースコード または GitHubで表示
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。
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引数:
戻り値: AnyAngle: 夹角
例外:
ソースコード または GitHubで表示
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     if isinstance(other, Line3):
         return self.normal.cal_angle(other.direction).complementary
     elif isinstance(other, Plane3):
@@ -25,7 +25,7 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
     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。
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引数:
  • other (Plane3): 另一个平面
戻り値: Line3: 交线
例外:
ソースコード または GitHubで表示
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。
`,16),R={class:"tip custom-block"},J=s("p",{class:"custom-block-title"},"TIP",-1),O=s("p",null,"计算两平面交线的一般步骤:",-1),$=s("ol",null,[s("li",null,"求两平面的法向量的叉乘得到方向向量")],-1),U={tabindex:"0",class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},K={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"11.937ex",height:"1.756ex",role:"img",focusable:"false",viewBox:"0 -694 5276 776","aria-hidden":"true"},W=t('',1),X=[W],Y=s("mjx-assistive-mml",{unselectable:"on",display:"block",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 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0",position:"relative"}},bs={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.991ex"},xmlns:"http://www.w3.org/2000/svg",width:"27.19ex",height:"4.839ex",role:"img",focusable:"false",viewBox:"0 -1259 12018.1 2139","aria-hidden":"true"},_s=t('',1),Cs=[_s],xs=s("mjx-assistive-mml",{unselectable:"on",display:"block",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 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引数:
  • other (Plane3): 另一个平面
戻り値: Line3: 交线
例外:
ソースコード または GitHubで表示
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     if self.normal.is_parallel(other.normal):
         raise ValueError('Planes are parallel and have no intersection.')
     direction = self.normal.cross(other.normal)
@@ -68,11 +68,11 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
         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:
戻り値: 平面
ソースコード または GitHubで表示
python
@classmethod
 def from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3':
-    return cls.from_point_and_normal(point, line.direction)
@overload
method __and__(self, other: Line3) -> Point3 | None ​
ソースコード または GitHubで表示
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload
method self & other: Line3 => Point3 | None ​
ソースコード または GitHubで表示
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload
method __and__(self, other: Plane3) -> Line3 | None ​
ソースコード または GitHubで表示
python
@overload
+    ...
@overload
method self & other: Plane3 => Line3 | None ​
ソースコード または GitHubで表示
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:
戻り値: Line3 | Point3 | None: 交集
例外:
ソースコード または GitHubで表示
python
def __and__(self, other):
+    ...
method self & other ​
説明: 取两平面的交集（人话：交线）
引数:
戻り値: Line3 | Point3 | None: 交集
例外:
ソースコード または GitHubで表示
python
def __and__(self, other):
     if isinstance(other, Plane3):
         if self.normal.is_parallel(other.normal):
             return None
@@ -84,4 +84,4 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
     else:
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
説明: 判断两个平面是否等价。
引数:
  • other (Plane3): 另一个平面
戻り値: bool: 是否等价
ソースコード または GitHubで表示
python
def __eq__(self, other) -> bool:
     return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
ソースコード または GitHubで表示
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
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+    return self.cal_intersection_point3(other)
`,81);function Hs(Ls,Ds,As,vs,Bs,Ms){return i(),a("div",null,[h,s("div",p,[r,o,s("mjx-container",k,[(i(),a("svg",d,T)),g]),s("p",null,[e("其中 "),s("mjx-container",m,[(i(),a("svg",c,y)),u]),e(" 和 "),s("mjx-container",F,[(i(),a("svg",f,_)),C]),e(" 分别为两个平面的法向量")])]),s("div",x,[w,H,s("mjx-container",L,[(i(),a("svg",D,v)),B]),s("p",null,[e("其中 "),s("mjx-container",M,[(i(),a("svg",V,P)),q]),e(" 为平面的法向量，"),s("mjx-container",S,[(i(),a("svg",j,z)),G]),e(" 为直线的方向向量")])]),I,s("div",R,[J,O,$,s("mjx-container",U,[(i(),a("svg",K,X)),Y]),s("ol",ss,[s("li",null,[e("寻找直线上的一点，依次假设"),s("mjx-container",as,[(i(),a("svg",is,es)),ls]),e(", "),s("mjx-container",ns,[(i(),a("svg",hs,rs)),os]),e(", "),s("mjx-container",ks,[(i(),a("svg",ds,Ts)),gs]),e("，并代入两平面方程求出合适的点 直线最终可用参数方程或点向式表示")])]),s("mjx-container",ms,[(i(),a("svg",cs,ys)),us]),Fs,s("mjx-container",fs,[(i(),a("svg",bs,Cs)),xs])]),ws])}const Ps=l(n,[["render",Hs]]);export{Zs as __pageData,Ps as default};
diff --git a/assets/ja_api_mp_math_plane.md.BvT51o_C.lean.js b/assets/ja_api_mp_math_plane.md.D549kBN0.lean.js
similarity index 95%
rename from assets/ja_api_mp_math_plane.md.BvT51o_C.lean.js
rename to assets/ja_api_mp_math_plane.md.D549kBN0.lean.js
index 0d3a76f..d8b76f9 100644
--- a/assets/ja_api_mp_math_plane.md.BvT51o_C.lean.js
+++ b/assets/ja_api_mp_math_plane.md.D549kBN0.lean.js
@@ -1 +1 @@
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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: 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diff --git a/assets/style.Czi07tLB.css b/assets/style.Czi07tLB.css
new file mode 100644
index 0000000..a75a21f
--- /dev/null
+++ b/assets/style.Czi07tLB.css
@@ -0,0 +1 @@
+:root{--vp-home-hero-name-color: transparent;--vp-home-hero-name-background: -webkit-linear-gradient(120deg, #bd34fe 30%, #41d1ff)}@media (min-width: 640px){:root{--vp-home-hero-image-filter: blur(56px)}}@media (min-width: 960px){:root{--vp-home-hero-image-filter: blur(68px)}}:root{--vp-c-white: #ffffff;--vp-c-black: #000000;--vp-c-neutral: var(--vp-c-black);--vp-c-neutral-inverse: var(--vp-c-white)}.dark{--vp-c-neutral: var(--vp-c-white);--vp-c-neutral-inverse: var(--vp-c-black)}:root{--vp-c-gray-1: #dddde3;--vp-c-gray-2: #e4e4e9;--vp-c-gray-3: #ebebef;--vp-c-gray-soft: rgba(142, 150, 170, .14);--vp-c-indigo-1: #3451b2;--vp-c-indigo-2: #3a5ccc;--vp-c-indigo-3: #5672cd;--vp-c-indigo-soft: rgba(100, 108, 255, .14);--vp-c-purple-1: #6f42c1;--vp-c-purple-2: #7e4cc9;--vp-c-purple-3: #8e5cd9;--vp-c-purple-soft: rgba(159, 122, 234, .14);--vp-c-green-1: #18794e;--vp-c-green-2: #299764;--vp-c-green-3: #30a46c;--vp-c-green-soft: rgba(16, 185, 129, .14);--vp-c-yellow-1: #915930;--vp-c-yellow-2: 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#f6f6f7}.dark{--vp-c-bg: #1b1b1f;--vp-c-bg-alt: #161618;--vp-c-bg-elv: #202127;--vp-c-bg-soft: #202127}:root{--vp-c-border: #c2c2c4;--vp-c-divider: #e2e2e3;--vp-c-gutter: #e2e2e3}.dark{--vp-c-border: #3c3f44;--vp-c-divider: #2e2e32;--vp-c-gutter: #000000}:root{--vp-c-text-1: rgba(60, 60, 67);--vp-c-text-2: rgba(60, 60, 67, .78);--vp-c-text-3: rgba(60, 60, 67, .56)}.dark{--vp-c-text-1: rgba(255, 255, 245, .86);--vp-c-text-2: rgba(235, 235, 245, .6);--vp-c-text-3: rgba(235, 235, 245, .38)}:root{--vp-c-default-1: var(--vp-c-gray-1);--vp-c-default-2: var(--vp-c-gray-2);--vp-c-default-3: var(--vp-c-gray-3);--vp-c-default-soft: var(--vp-c-gray-soft);--vp-c-brand-1: var(--vp-c-indigo-1);--vp-c-brand-2: var(--vp-c-indigo-2);--vp-c-brand-3: var(--vp-c-indigo-3);--vp-c-brand-soft: var(--vp-c-indigo-soft);--vp-c-brand: var(--vp-c-brand-1);--vp-c-tip-1: var(--vp-c-brand-1);--vp-c-tip-2: var(--vp-c-brand-2);--vp-c-tip-3: var(--vp-c-brand-3);--vp-c-tip-soft: var(--vp-c-brand-soft);--vp-c-note-1: var(--vp-c-brand-1);--vp-c-note-2: var(--vp-c-brand-2);--vp-c-note-3: var(--vp-c-brand-3);--vp-c-note-soft: var(--vp-c-brand-soft);--vp-c-success-1: var(--vp-c-green-1);--vp-c-success-2: var(--vp-c-green-2);--vp-c-success-3: var(--vp-c-green-3);--vp-c-success-soft: var(--vp-c-green-soft);--vp-c-important-1: var(--vp-c-purple-1);--vp-c-important-2: var(--vp-c-purple-2);--vp-c-important-3: var(--vp-c-purple-3);--vp-c-important-soft: 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: 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diff --git a/assets/zht_api_mp_math_line.md.DopGqzVZ.js b/assets/zht_api_mp_math_line.md.BmXiOeCt.js
similarity index 96%
rename from assets/zht_api_mp_math_line.md.DopGqzVZ.js
rename to assets/zht_api_mp_math_line.md.BmXiOeCt.js
index f52d208..34c19fd 100644
--- a/assets/zht_api_mp_math_line.md.DopGqzVZ.js
+++ b/assets/zht_api_mp_math_line.md.BmXiOeCt.js
@@ -38,7 +38,7 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E
         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:

返回: Line3: 直线

源碼 或 於GitHub上查看
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     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:

返回: Line3 | Point3 | None: 交集

源碼 或 於GitHub上查看
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)

method 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:

返回: Line3 | Point3 | None: 交集

源碼 或 於GitHub上查看
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     if self.is_collinear(other):
         return self
     elif self.is_parallel(other) or not self.is_coplanar(other):
diff --git a/assets/zht_api_mp_math_line.md.DopGqzVZ.lean.js b/assets/zht_api_mp_math_line.md.BmXiOeCt.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_line.md.DopGqzVZ.lean.js
rename to assets/zht_api_mp_math_line.md.BmXiOeCt.lean.js
diff --git a/assets/zht_api_mp_math_plane.md.OnI32y0z.js b/assets/zht_api_mp_math_plane.md.DYh81-YI.js
similarity index 97%
rename from assets/zht_api_mp_math_plane.md.OnI32y0z.js
rename to assets/zht_api_mp_math_plane.md.DYh81-YI.js
index d113dd4..2c38b78 100644
--- a/assets/zht_api_mp_math_plane.md.OnI32y0z.js
+++ b/assets/zht_api_mp_math_plane.md.DYh81-YI.js
@@ -1,4 +1,4 @@
-import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Zs=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/plane.md","filePath":"zht/api/mp_math/plane.md"}'),l={name:"zht/api/mp_math/plane.md"},h=t(`
模組 mbcp.mp_math.plane ​
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 (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
源碼 或 於GitHub上查看
python
def __init__(self, a: float, b: float, c: float, d: float):
+import{_ as l,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Zs=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/plane.md","filePath":"zht/api/mp_math/plane.md"}'),n={name:"zht/api/mp_math/plane.md"},h=t(`
模組 mbcp.mp_math.plane ​
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 (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
源碼 或 於GitHub上查看
python
def __init__(self, a: float, b: float, c: float, d: float):
     self.a = a
     self.b = b
     self.c = c
@@ -13,7 +13,7 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
         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。
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變數説明:
返回: AnyAngle: 夹角
抛出:
源碼 或 於GitHub上查看
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。
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0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"d")])],-1),I=t(`
變數説明:
返回: AnyAngle: 夹角
抛出:
源碼 或 於GitHub上查看
python
def cal_angle(self, other: 'Line3 | Plane3') -> 'AnyAngle':
     if isinstance(other, Line3):
         return self.normal.cal_angle(other.direction).complementary
     elif isinstance(other, Plane3):
@@ -25,7 +25,7 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
     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。
`,16),R={class:"tip custom-block"},J=s("p",{class:"custom-block-title"},"TIP",-1),O=s("p",null,"计算两平面交线的一般步骤:",-1),$=s("ol",null,[s("li",null,"求两平面的法向量的叉乘得到方向向量")],-1),U={tabindex:"0",class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},K={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"11.937ex",height:"1.756ex",role:"img",focusable:"false",viewBox:"0 -694 5276 776","aria-hidden":"true"},W=t('',1),X=[W],Y=s("mjx-assistive-mml",{unselectable:"on",display:"block",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",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mi",null,"d"),s("mo",null,"="),s("mi",null,"n"),s("mn",null,"1"),s("mo",null,"×"),s("mi",null,"n"),s("mn",null,"2")])],-1),ss={start:"2"},as={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},is={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.442ex",height:"1.692ex",role:"img",focusable:"false",viewBox:"0 -666 2405.6 748","aria-hidden":"true"},ts=t('',1),es=[ts],ns=s("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"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"x"),s("mo",null,"="),s("mn",null,"0")])],-1),ls={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},hs={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.464ex"},xmlns:"http://www.w3.org/2000/svg",width:"5.257ex",height:"1.971ex",role:"img",focusable:"false",viewBox:"0 -666 2323.6 871","aria-hidden":"true"},ps=t('',1),rs=[ps],os=s("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 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變數説明:
  • other (Plane3): 另一个平面
返回: Line3: 交线
抛出:
源碼 或 於GitHub上查看
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。
`,16),R={class:"tip custom-block"},J=s("p",{class:"custom-block-title"},"TIP",-1),O=s("p",null,"计算两平面交线的一般步骤:",-1),$=s("ol",null,[s("li",null,"求两平面的法向量的叉乘得到方向向量")],-1),U={tabindex:"0",class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},K={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.186ex"},xmlns:"http://www.w3.org/2000/svg",width:"11.937ex",height:"1.756ex",role:"img",focusable:"false",viewBox:"0 -694 5276 776","aria-hidden":"true"},W=t('',1),X=[W],Y=s("mjx-assistive-mml",{unselectable:"on",display:"block",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 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0px",border:"0px",display:"block",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mfrac",null,[s("mrow",null,[s("mi",null,"x"),s("mo",null,"−"),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")])]),s("mi",null,"m")]),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mi",null,"y"),s("mo",null,"−"),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")])]),s("mi",null,"n")]),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mi",null,"z"),s("mo",null,"−"),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")])]),s("mi",null,"p")])])],-1),ws=t(`
變數説明:
  • other (Plane3): 另一个平面
返回: Line3: 交线
抛出:
源碼 或 於GitHub上查看
python
def cal_intersection_line3(self, other: 'Plane3') -> 'Line3':
     if self.normal.is_parallel(other.normal):
         raise ValueError('Planes are parallel and have no intersection.')
     direction = self.normal.cross(other.normal)
@@ -68,11 +68,11 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
         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:
返回: 平面
源碼 或 於GitHub上查看
python
@classmethod
 def from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3':
-    return cls.from_point_and_normal(point, line.direction)
@overload
method __and__(self, other: Line3) -> Point3 | None ​
源碼 或 於GitHub上查看
python
@overload
+    return cls.from_point_and_normal(point, line.direction)
@overload
method self & other: Line3 => Point3 | None ​
源碼 或 於GitHub上查看
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...
@overload
method __and__(self, other: Plane3) -> Line3 | None ​
源碼 或 於GitHub上查看
python
@overload
+    ...
@overload
method self & other: Plane3 => Line3 | None ​
源碼 或 於GitHub上查看
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:
返回: Line3 | Point3 | None: 交集
抛出:
源碼 或 於GitHub上查看
python
def __and__(self, other):
+    ...
method self & other ​
説明: 取两平面的交集（人话：交线）
變數説明:
返回: Line3 | Point3 | None: 交集
抛出:
源碼 或 於GitHub上查看
python
def __and__(self, other):
     if isinstance(other, Plane3):
         if self.normal.is_parallel(other.normal):
             return None
@@ -84,4 +84,4 @@ import{_ as n,c as a,j as s,a as e,a4 as t,o as i}from"./chunks/framework.DpC1Zp
     else:
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
method __eq__(self, other) -> bool ​
説明: 判断两个平面是否等价。
變數説明:
  • other (Plane3): 另一个平面
返回: bool: 是否等价
源碼 或 於GitHub上查看
python
def __eq__(self, other) -> bool:
     return self.approx(other)
method __rand__(self, other: Line3) -> Point3 ​
源碼 或 於GitHub上查看
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
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+    return self.cal_intersection_point3(other)
`,81);function Hs(Ls,Ds,As,vs,Bs,Ms){return i(),a("div",null,[h,s("div",p,[r,o,s("mjx-container",k,[(i(),a("svg",d,T)),g]),s("p",null,[e("其中 "),s("mjx-container",m,[(i(),a("svg",c,y)),u]),e(" 和 "),s("mjx-container",F,[(i(),a("svg",f,_)),C]),e(" 分别为两个平面的法向量")])]),s("div",x,[w,H,s("mjx-container",L,[(i(),a("svg",D,v)),B]),s("p",null,[e("其中 "),s("mjx-container",M,[(i(),a("svg",V,P)),q]),e(" 为平面的法向量，"),s("mjx-container",S,[(i(),a("svg",j,N)),G]),e(" 为直线的方向向量")])]),I,s("div",R,[J,O,$,s("mjx-container",U,[(i(),a("svg",K,X)),Y]),s("ol",ss,[s("li",null,[e("寻找直线上的一点，依次假设"),s("mjx-container",as,[(i(),a("svg",is,es)),ls]),e(", "),s("mjx-container",ns,[(i(),a("svg",hs,rs)),os]),e(", "),s("mjx-container",ks,[(i(),a("svg",ds,Ts)),gs]),e("，并代入两平面方程求出合适的点 直线最终可用参数方程或点向式表示")])]),s("mjx-container",ms,[(i(),a("svg",cs,ys)),us]),Fs,s("mjx-container",fs,[(i(),a("svg",bs,Cs)),xs])]),ws])}const Ps=l(n,[["render",Hs]]);export{Zs as __pageData,Ps as default};
diff --git a/assets/zht_api_mp_math_plane.md.OnI32y0z.lean.js b/assets/zht_api_mp_math_plane.md.DYh81-YI.lean.js
similarity index 95%
rename from assets/zht_api_mp_math_plane.md.OnI32y0z.lean.js
rename to assets/zht_api_mp_math_plane.md.DYh81-YI.lean.js
index d9975a5..9a93590 100644
--- a/assets/zht_api_mp_math_plane.md.OnI32y0z.lean.js
+++ b/assets/zht_api_mp_math_plane.md.DYh81-YI.lean.js
@@ -1 +1 @@
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left",columnspacing:"1em",rowspacing:".2em"},[s("mtr",null,[s("mtd",null,[s("mi",null,"x"),s("mo",null,"="),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,"+"),s("mi",null,"d"),s("mi",null,"t")])]),s("mtr",null,[s("mtd",null,[s("mi",null,"y"),s("mo",null,"="),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,"+"),s("mi",null,"d"),s("mi",null,"t")])]),s("mtr",null,[s("mtd",null,[s("mi",null,"z"),s("mo",null,"="),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",null,"+"),s("mi",null,"d"),s("mi",null,"t")])])]),s("mo",{"data-mjx-texclass":"CLOSE",fence:"true",stretchy:"true",symmetric:"true"})])])],-1),Fs=s("p",null,"或",-1),fs={tabindex:"0",class:"MathJax",jax:"SVG",display:"true",style:{direction:"ltr",display:"block","text-align":"center",margin:"1em 0",position:"relative"}},bs={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.991ex"},xmlns:"http://www.w3.org/2000/svg",width:"27.19ex",height:"4.839ex",role:"img",focusable:"false",viewBox:"0 -1259 12018.1 2139","aria-hidden":"true"},_s=t("",1),Cs=[_s],xs=s("mjx-assistive-mml",{unselectable:"on",display:"block",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",overflow:"hidden",width:"100%"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML",display:"block"},[s("mfrac",null,[s("mrow",null,[s("mi",null,"x"),s("mo",null,"−"),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")])]),s("mi",null,"m")]),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mi",null,"y"),s("mo",null,"−"),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")])]),s("mi",null,"n")]),s("mo",null,"="),s("mfrac",null,[s("mrow",null,[s("mi",null,"z"),s("mo",null,"−"),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")])]),s("mi",null,"p")])])],-1),ws=t("",81);function Hs(Ls,Ds,As,vs,Bs,Ms){return i(),a("div",null,[h,s("div",p,[r,o,s("mjx-container",k,[(i(),a("svg",d,T)),g]),s("p",null,[e("其中 "),s("mjx-container",m,[(i(),a("svg",c,y)),u]),e(" 和 "),s("mjx-container",F,[(i(),a("svg",f,_)),C]),e(" 分别为两个平面的法向量")])]),s("div",x,[w,H,s("mjx-container",L,[(i(),a("svg",D,v)),B]),s("p",null,[e("其中 "),s("mjx-container",M,[(i(),a("svg",V,P)),q]),e(" 为平面的法向量，"),s("mjx-container",S,[(i(),a("svg",j,N)),G]),e(" 为直线的方向向量")])]),I,s("div",R,[J,O,$,s("mjx-container",U,[(i(),a("svg",K,X)),Y]),s("ol",ss,[s("li",null,[e("寻找直线上的一点，依次假设"),s("mjx-container",as,[(i(),a("svg",is,es)),ls]),e(", "),s("mjx-container",ns,[(i(),a("svg",hs,rs)),os]),e(", "),s("mjx-container",ks,[(i(),a("svg",ds,Ts)),gs]),e("，并代入两平面方程求出合适的点 直线最终可用参数方程或点向式表示")])]),s("mjx-container",ms,[(i(),a("svg",cs,ys)),us]),Fs,s("mjx-container",fs,[(i(),a("svg",bs,Cs)),xs])]),ws])}const Ps=l(n,[["render",Hs]]);export{Zs as __pageData,Ps as default};
diff --git a/demo/best-practice.html b/demo/best-practice.html
index e8a675a..bc45bc3 100644
--- a/demo/best-practice.html
+++ b/demo/best-practice.html
@@ -6,10 +6,10 @@
     最佳实践 | MBCP 文档
     
     
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+    
     
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diff --git a/demo/index.html b/demo/index.html
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     demo | MBCP 文档
     
     
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MBCP 文档
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English
日本語
繁體中文
简体中文
English
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Appearance
demo ​
文档由 VitePress 构建 | API引用由 litedoc 生成
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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+    
     
   
 
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diff --git a/en/api/index.html b/en/api/index.html
index f62b6eb..febde94 100644
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+++ b/en/api/index.html
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     mbcp | MBCP docs
     
     
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MBCP docs
English
简体中文
日本語
繁體中文
English
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Module mbcp ​
本模块是主模块，提供了一些工具 可导入
mbcp.mp_math：数学工具
mbcp.particle：粒子生成工具
mbcp.presets：预设
Documentation built with VitePress | API references generated by litedoc
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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diff --git a/en/api/mp_math/angle.html b/en/api/mp_math/angle.html
index b8a677f..807563a 100644
--- a/en/api/mp_math/angle.html
+++ b/en/api/mp_math/angle.html
@@ -6,10 +6,10 @@
     mbcp.mp_math.angle | MBCP docs
     
     
-    
+    
     
-    
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+    
+    
     
     
     
@@ -56,7 +56,7 @@
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
     return AnyAngle(self.radian / other, is_radian=True)
- + \ No newline at end of file diff --git a/en/api/mp_math/const.html b/en/api/mp_math/const.html index e87e739..934e2ac 100644 --- a/en/api/mp_math/const.html +++ b/en/api/mp_math/const.html @@ -6,10 +6,10 @@ mbcp.mp_math.const | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

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Module mbcp.mp_math.const ​

本模块定义了一些常用的常量

var PI ​

  • Description: 常量 π

  • Default: math.pi

var E ​

  • Description: 自然对数的底 exp(1)

  • Default: math.e

var GOLDEN_RATIO ​

  • Description: 黄金分割比

  • Default: (1 + math.sqrt(5)) / 2

var GAMMA ​

  • Description: 欧拉常数

  • Default: 0.5772156649015329

var EPSILON ​

  • Description: 精度误差

  • Default: 0.0001

var APPROX ​

  • Description: 约等于判定误差

  • Default: 0.001

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/equation.html b/en/api/mp_math/equation.html index 9bd0f4a..3c96094 100644 --- a/en/api/mp_math/equation.html +++ b/en/api/mp_math/equation.html @@ -6,10 +6,10 @@ mbcp.mp_math.equation | MBCP docs - + - - + + @@ -45,7 +45,7 @@ return high_order_partial_derivative_func else: raise ValueError('Invalid var type') - + \ No newline at end of file diff --git a/en/api/mp_math/function.html b/en/api/mp_math/function.html index cf6df05..9cdc2d3 100644 --- a/en/api/mp_math/function.html +++ b/en/api/mp_math/function.html @@ -6,10 +6,10 @@ mbcp.mp_math.function | MBCP docs - + - - + + @@ -30,7 +30,7 @@ def curried_func(*args2: Var) -> Var: return func(*args, *args2) return curried_func - + \ No newline at end of file diff --git a/en/api/mp_math/index.html b/en/api/mp_math/index.html index acd0664..e8c4fbc 100644 --- a/en/api/mp_math/index.html +++ b/en/api/mp_math/index.html @@ -6,10 +6,10 @@ mbcp.mp_math | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

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Module mbcp.mp_math ​

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：

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/line.html b/en/api/mp_math/line.html index 1eb64e2..315958d 100644 --- a/en/api/mp_math/line.html +++ b/en/api/mp_math/line.html @@ -6,12 +6,12 @@ mbcp.mp_math.line | MBCP docs - + - - + + - + @@ -58,7 +58,7 @@ 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:

Return: Line3: 直线

Source code or View on GitHub
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     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:

Return: Line3 | Point3 | None: 交集

Source code or View on GitHub
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)

method 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:

Return: Line3 | Point3 | None: 交集

Source code or View on GitHub
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     if self.is_collinear(other):
         return self
     elif self.is_parallel(other) or not self.is_coplanar(other):
@@ -66,7 +66,7 @@
     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:

Return: bool: 是否等价

Source code or View on GitHub
python
def __eq__(self, other) -> bool:
     return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
- + \ 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 3652b19..bf44538 100644 --- a/en/api/mp_math/mp_math_typing.html +++ b/en/api/mp_math/mp_math_typing.html @@ -6,10 +6,10 @@ mbcp.mp_math.mp_math_typing | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

English

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Module mbcp.mp_math.mp_math_typing ​

本模块用于内部类型提示

var RealNumber ​

  • Description: 实数

  • Type: TypeAlias

  • Default: int | float

var Number ​

  • Description: 数

  • Type: TypeAlias

  • Default: RealNumber | complex

var SingleVar ​

  • Description: 单变量

  • Default: TypeVar('SingleVar', bound=Number)

var ArrayVar ​

  • Description: 数组变量

  • Default: TypeVar('ArrayVar', bound=Iterable[Number])

var Var ​

  • Description: 变量

  • Type: TypeAlias

  • Default: SingleVar | ArrayVar

var OneSingleVarFunc ​

  • Description: 一元单变量函数

  • Type: TypeAlias

  • Default: Callable[[SingleVar], SingleVar]

var OneArrayFunc ​

  • Description: 一元数组函数

  • Type: TypeAlias

  • Default: Callable[[ArrayVar], ArrayVar]

var OneVarFunc ​

  • Description: 一元函数

  • Type: TypeAlias

  • Default: OneSingleVarFunc | OneArrayFunc

var TwoSingleVarsFunc ​

  • Description: 二元单变量函数

  • Type: TypeAlias

  • Default: Callable[[SingleVar, SingleVar], SingleVar]

var TwoArraysFunc ​

  • Description: 二元数组函数

  • Type: TypeAlias

  • Default: Callable[[ArrayVar, ArrayVar], ArrayVar]

var TwoVarsFunc ​

  • Description: 二元函数

  • Type: TypeAlias

  • Default: TwoSingleVarsFunc | TwoArraysFunc

var ThreeSingleVarsFunc ​

  • Description: 三元单变量函数

  • Type: TypeAlias

  • Default: Callable[[SingleVar, SingleVar, SingleVar], SingleVar]

var ThreeArraysFunc ​

  • Description: 三元数组函数

  • Type: TypeAlias

  • Default: Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar]

var ThreeVarsFunc ​

  • Description: 三元函数

  • Type: TypeAlias

  • Default: ThreeSingleVarsFunc | ThreeArraysFunc

var MultiSingleVarsFunc ​

  • Description: 多元单变量函数

  • Type: TypeAlias

  • Default: Callable[..., SingleVar]

var MultiArraysFunc ​

  • Description: 多元数组函数

  • Type: TypeAlias

  • Default: Callable[..., ArrayVar]

var MultiVarsFunc ​

  • Description: 多元函数

  • Type: TypeAlias

  • Default: MultiSingleVarsFunc | MultiArraysFunc

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/plane.html b/en/api/mp_math/plane.html index b245a1d..cbf6b0b 100644 --- a/en/api/mp_math/plane.html +++ b/en/api/mp_math/plane.html @@ -6,12 +6,12 @@ mbcp.mp_math.plane | MBCP docs - + - - + + - + @@ -88,11 +88,11 @@ 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:

Return: 平面

Source code or View on GitHub
python
@classmethod
 def from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3':
-    return cls.from_point_and_normal(point, line.direction)

@overload

method __and__(self, other: Line3) -> Point3 | None ​

Source code or View on GitHub
python
@overload
+    return cls.from_point_and_normal(point, line.direction)

@overload

method self & other: Line3 => Point3 | None ​

Source code or View on GitHub
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...

@overload

method __and__(self, other: Plane3) -> Line3 | None ​

Source code or View on GitHub
python
@overload
+    ...

@overload

method self & other: Plane3 => Line3 | None ​

Source code or View on GitHub
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:

Return: Line3 | Point3 | None: 交集

Raises:

Source code or View on GitHub
python
def __and__(self, other):
+    ...

method self & other ​

Description: 取两平面的交集（人话：交线）

Arguments:

Return: Line3 | Point3 | None: 交集

Raises:

Source code or View on GitHub
python
def __and__(self, other):
     if isinstance(other, Plane3):
         if self.normal.is_parallel(other.normal):
             return None
@@ -105,7 +105,7 @@
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

Description: 判断两个平面是否等价。

Arguments:

Return: bool: 是否等价

Source code or View on GitHub
python
def __eq__(self, other) -> bool:
     return self.approx(other)

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

Source code or View on GitHub
python
def __rand__(self, other: 'Line3') -> 'Point3':
     return self.cal_intersection_point3(other)
- + \ No newline at end of file diff --git a/en/api/mp_math/point.html b/en/api/mp_math/point.html index 7324d34..1253bbd 100644 --- a/en/api/mp_math/point.html +++ b/en/api/mp_math/point.html @@ -6,10 +6,10 @@ mbcp.mp_math.point | MBCP docs - + - - + + @@ -31,7 +31,7 @@ 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 Vector3 中实现

Arguments:

Return: Vector3: 新的向量

Source code or View on GitHub
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
- + \ No newline at end of file diff --git a/en/api/mp_math/segment.html b/en/api/mp_math/segment.html index 03a5d14..d04c929 100644 --- a/en/api/mp_math/segment.html +++ b/en/api/mp_math/segment.html @@ -6,10 +6,10 @@ mbcp.mp_math.segment | MBCP docs - + - - + + @@ -27,7 +27,7 @@ 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) - + \ No newline at end of file diff --git a/en/api/mp_math/utils.html b/en/api/mp_math/utils.html index ba3c5f6..03fc4e1 100644 --- a/en/api/mp_math/utils.html +++ b/en/api/mp_math/utils.html @@ -6,10 +6,10 @@ mbcp.mp_math.utils | MBCP docs - + - - + + @@ -46,7 +46,7 @@ return f'-{abs(x)}' else: return '' - + \ No newline at end of file diff --git a/en/api/mp_math/vector.html b/en/api/mp_math/vector.html index a61136e..22cb777 100644 --- a/en/api/mp_math/vector.html +++ b/en/api/mp_math/vector.html @@ -6,10 +6,10 @@ mbcp.mp_math.vector | MBCP docs - + - - + + @@ -78,7 +78,7 @@ return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

Description: 取负。

Return: Vector3: 负向量

Source code or View on GitHub
python
def __neg__(self) -> 'Vector3':
     return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 ​

var x_axis ​

var y_axis ​

var z_axis ​

- + \ No newline at end of file diff --git a/en/api/particle/index.html b/en/api/particle/index.html index 66f46d8..f0ff38f 100644 --- a/en/api/particle/index.html +++ b/en/api/particle/index.html @@ -6,10 +6,10 @@ mbcp.particle | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

English

简体中文
日本語
繁體中文

English

简体中文
日本語
繁體中文

Appearance

Module mbcp.particle ​

本模块定义了粒子生成相关的工具

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/presets/index.html b/en/api/presets/index.html index 7f1ca14..3061881 100644 --- a/en/api/presets/index.html +++ b/en/api/presets/index.html @@ -6,10 +6,10 @@ mbcp.presets | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

English

简体中文
日本語
繁體中文

English

简体中文
日本語
繁體中文

Appearance

Module mbcp.presets ​

本模块塞了一些预设

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/presets/model/index.html b/en/api/presets/model/index.html index adc9d63..7416d40 100644 --- a/en/api/presets/model/index.html +++ b/en/api/presets/model/index.html @@ -6,10 +6,10 @@ mbcp.presets.model | MBCP docs - + - - + + @@ -28,7 +28,7 @@ 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)] - + \ No newline at end of file diff --git a/en/demo/best-practice.html b/en/demo/best-practice.html index b992f29..5507dbf 100644 --- a/en/demo/best-practice.html +++ b/en/demo/best-practice.html @@ -6,10 +6,10 @@ Best Practice | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

English

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开始不了一点 ​

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MBCP

More basic change particle

A Library for Python to create Minecraft particle effects and geometric figures

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Easy to use

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

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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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Reference ​

help us to improve the documentation

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快速开始 ​

TIP

建议：把你项目所使用的Python换成PyPy，这样可以提高性能(兼容性优先)

安装 ​

shell
pip install mbcp

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diff --git a/index.html b/index.html index 07fe391..aa5ce41 100644 --- a/index.html +++ b/index.html @@ -6,10 +6,10 @@ MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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MBCP

更多基础变换粒子

用于几何运算和Minecraft粒子制作的库

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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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モジュール mbcp ​

本模块是主模块，提供了一些工具 可导入

mbcp.mp_math：数学工具

mbcp.particle：粒子生成工具

mbcp.presets：预设

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- + \ No newline at end of file diff --git a/ja/api/mp_math/angle.html b/ja/api/mp_math/angle.html index 76c5140..e5c8818 100644 --- a/ja/api/mp_math/angle.html +++ b/ja/api/mp_math/angle.html @@ -6,10 +6,10 @@ mbcp.mp_math.angle | MBCP ドキュメント - + - - + + @@ -56,7 +56,7 @@ if isinstance(other, AnyAngle): return self.radian / other.radian return AnyAngle(self.radian / other, is_radian=True) - + \ No newline at end of file diff --git a/ja/api/mp_math/const.html b/ja/api/mp_math/const.html index be9bc04..dec3aa0 100644 --- a/ja/api/mp_math/const.html +++ b/ja/api/mp_math/const.html @@ -6,10 +6,10 @@ mbcp.mp_math.const | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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モジュール mbcp.mp_math.const ​

本模块定义了一些常用的常量

var PI ​

  • 説明: 常量 π

  • デフォルト: math.pi

var E ​

  • 説明: 自然对数的底 exp(1)

  • デフォルト: math.e

var GOLDEN_RATIO ​

  • 説明: 黄金分割比

  • デフォルト: (1 + math.sqrt(5)) / 2

var GAMMA ​

  • 説明: 欧拉常数

  • デフォルト: 0.5772156649015329

var EPSILON ​

  • 説明: 精度误差

  • デフォルト: 0.0001

var APPROX ​

  • 説明: 约等于判定误差

  • デフォルト: 0.001

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- + \ No newline at end of file diff --git a/ja/api/mp_math/equation.html b/ja/api/mp_math/equation.html index 248d038..063ca77 100644 --- a/ja/api/mp_math/equation.html +++ b/ja/api/mp_math/equation.html @@ -6,10 +6,10 @@ mbcp.mp_math.equation | MBCP ドキュメント - + - - + + @@ -45,7 +45,7 @@ return high_order_partial_derivative_func else: raise ValueError('Invalid var type') - + \ No newline at end of file diff --git a/ja/api/mp_math/function.html b/ja/api/mp_math/function.html index f63ad62..a78efe5 100644 --- a/ja/api/mp_math/function.html +++ b/ja/api/mp_math/function.html @@ -6,10 +6,10 @@ mbcp.mp_math.function | MBCP ドキュメント - + - - + + @@ -30,7 +30,7 @@ def curried_func(*args2: Var) -> Var: return func(*args, *args2) return curried_func - + \ No newline at end of file diff --git a/ja/api/mp_math/index.html b/ja/api/mp_math/index.html index 49dc79a..19a699e 100644 --- a/ja/api/mp_math/index.html +++ b/ja/api/mp_math/index.html @@ -6,10 +6,10 @@ mbcp.mp_math | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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モジュール mbcp.mp_math ​

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：

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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 aef19d6..c537568 100644 --- a/ja/api/mp_math/line.html +++ b/ja/api/mp_math/line.html @@ -6,12 +6,12 @@ mbcp.mp_math.line | MBCP ドキュメント - + - - + + - + @@ -58,7 +58,7 @@ 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:

戻り値: Line3: 直线

ソースコード または GitHubで表示
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     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:

戻り値: Line3 | Point3 | None: 交集

ソースコード または GitHubで表示
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)

method 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:

戻り値: Line3 | Point3 | None: 交集

ソースコード または GitHubで表示
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     if self.is_collinear(other):
         return self
     elif self.is_parallel(other) or not self.is_coplanar(other):
@@ -66,7 +66,7 @@
     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:

戻り値: bool: 是否等价

ソースコード または GitHubで表示
python
def __eq__(self, other) -> bool:
     return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
- + \ 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 871504f..f6484e2 100644 --- a/ja/api/mp_math/mp_math_typing.html +++ b/ja/api/mp_math/mp_math_typing.html @@ -6,10 +6,10 @@ mbcp.mp_math.mp_math_typing | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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モジュール mbcp.mp_math.mp_math_typing ​

本模块用于内部类型提示

var RealNumber ​

  • 説明: 实数

  • タイプ: TypeAlias

  • デフォルト: int | float

var Number ​

  • 説明: 数

  • タイプ: TypeAlias

  • デフォルト: RealNumber | complex

var SingleVar ​

  • 説明: 单变量

  • デフォルト: TypeVar('SingleVar', bound=Number)

var ArrayVar ​

  • 説明: 数组变量

  • デフォルト: TypeVar('ArrayVar', bound=Iterable[Number])

var Var ​

  • 説明: 变量

  • タイプ: TypeAlias

  • デフォルト: SingleVar | ArrayVar

var OneSingleVarFunc ​

  • 説明: 一元单变量函数

  • タイプ: TypeAlias

  • デフォルト: Callable[[SingleVar], SingleVar]

var OneArrayFunc ​

  • 説明: 一元数组函数

  • タイプ: TypeAlias

  • デフォルト: Callable[[ArrayVar], ArrayVar]

var OneVarFunc ​

  • 説明: 一元函数

  • タイプ: TypeAlias

  • デフォルト: OneSingleVarFunc | OneArrayFunc

var TwoSingleVarsFunc ​

  • 説明: 二元单变量函数

  • タイプ: TypeAlias

  • デフォルト: Callable[[SingleVar, SingleVar], SingleVar]

var TwoArraysFunc ​

  • 説明: 二元数组函数

  • タイプ: TypeAlias

  • デフォルト: Callable[[ArrayVar, ArrayVar], ArrayVar]

var TwoVarsFunc ​

  • 説明: 二元函数

  • タイプ: TypeAlias

  • デフォルト: TwoSingleVarsFunc | TwoArraysFunc

var ThreeSingleVarsFunc ​

  • 説明: 三元单变量函数

  • タイプ: TypeAlias

  • デフォルト: Callable[[SingleVar, SingleVar, SingleVar], SingleVar]

var ThreeArraysFunc ​

  • 説明: 三元数组函数

  • タイプ: TypeAlias

  • デフォルト: Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar]

var ThreeVarsFunc ​

  • 説明: 三元函数

  • タイプ: TypeAlias

  • デフォルト: ThreeSingleVarsFunc | ThreeArraysFunc

var MultiSingleVarsFunc ​

  • 説明: 多元单变量函数

  • タイプ: TypeAlias

  • デフォルト: Callable[..., SingleVar]

var MultiArraysFunc ​

  • 説明: 多元数组函数

  • タイプ: TypeAlias

  • デフォルト: Callable[..., ArrayVar]

var MultiVarsFunc ​

  • 説明: 多元函数

  • タイプ: TypeAlias

  • デフォルト: MultiSingleVarsFunc | MultiArraysFunc

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- + \ No newline at end of file diff --git a/ja/api/mp_math/plane.html b/ja/api/mp_math/plane.html index d2e6d94..509fecf 100644 --- a/ja/api/mp_math/plane.html +++ b/ja/api/mp_math/plane.html @@ -6,12 +6,12 @@ mbcp.mp_math.plane | MBCP ドキュメント - + - - + + - + @@ -88,11 +88,11 @@ 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:

戻り値: 平面

ソースコード または GitHubで表示
python
@classmethod
 def from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3':
-    return cls.from_point_and_normal(point, line.direction)

@overload

method __and__(self, other: Line3) -> Point3 | None ​

ソースコード または GitHubで表示
python
@overload
+    return cls.from_point_and_normal(point, line.direction)

@overload

method self & other: Line3 => Point3 | None ​

ソースコード または GitHubで表示
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...

@overload

method __and__(self, other: Plane3) -> Line3 | None ​

ソースコード または GitHubで表示
python
@overload
+    ...

@overload

method self & other: Plane3 => Line3 | None ​

ソースコード または GitHubで表示
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:

戻り値: Line3 | Point3 | None: 交集

例外:

ソースコード または GitHubで表示
python
def __and__(self, other):
+    ...

method self & other ​

説明: 取两平面的交集（人话：交线）

引数:

戻り値: Line3 | Point3 | None: 交集

例外:

ソースコード または GitHubで表示
python
def __and__(self, other):
     if isinstance(other, Plane3):
         if self.normal.is_parallel(other.normal):
             return None
@@ -105,7 +105,7 @@
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

説明: 判断两个平面是否等价。

引数:

戻り値: bool: 是否等价

ソースコード または GitHubで表示
python
def __eq__(self, other) -> bool:
     return self.approx(other)

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

ソースコード または GitHubで表示
python
def __rand__(self, other: 'Line3') -> 'Point3':
     return self.cal_intersection_point3(other)
- + \ No newline at end of file diff --git a/ja/api/mp_math/point.html b/ja/api/mp_math/point.html index d16ca2a..4ccd2ed 100644 --- a/ja/api/mp_math/point.html +++ b/ja/api/mp_math/point.html @@ -6,10 +6,10 @@ mbcp.mp_math.point | MBCP ドキュメント - + - - + + @@ -31,7 +31,7 @@ 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 Vector3 中实现

引数:

戻り値: Vector3: 新的向量

ソースコード または GitHubで表示
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
- + \ No newline at end of file diff --git a/ja/api/mp_math/segment.html b/ja/api/mp_math/segment.html index 1db5d68..4898de0 100644 --- a/ja/api/mp_math/segment.html +++ b/ja/api/mp_math/segment.html @@ -6,10 +6,10 @@ mbcp.mp_math.segment | MBCP ドキュメント - + - - + + @@ -27,7 +27,7 @@ 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) - + \ No newline at end of file diff --git a/ja/api/mp_math/utils.html b/ja/api/mp_math/utils.html index fe95f1a..a4209f7 100644 --- a/ja/api/mp_math/utils.html +++ b/ja/api/mp_math/utils.html @@ -6,10 +6,10 @@ mbcp.mp_math.utils | MBCP ドキュメント - + - - + + @@ -46,7 +46,7 @@ return f'-{abs(x)}' else: return '' - + \ No newline at end of file diff --git a/ja/api/mp_math/vector.html b/ja/api/mp_math/vector.html index 89dc6a9..763f5ff 100644 --- a/ja/api/mp_math/vector.html +++ b/ja/api/mp_math/vector.html @@ -6,10 +6,10 @@ mbcp.mp_math.vector | MBCP ドキュメント - + - - + + @@ -78,7 +78,7 @@ return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

説明: 取负。

戻り値: Vector3: 负向量

ソースコード または GitHubで表示
python
def __neg__(self) -> 'Vector3':
     return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 ​

var x_axis ​

var y_axis ​

var z_axis ​

- + \ No newline at end of file diff --git a/ja/api/particle/index.html b/ja/api/particle/index.html index 8cb950d..46fc84c 100644 --- a/ja/api/particle/index.html +++ b/ja/api/particle/index.html @@ -6,10 +6,10 @@ mbcp.particle | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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モジュール mbcp.particle ​

本模块定义了粒子生成相关的工具

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/presets/index.html b/ja/api/presets/index.html index aaa70af..2452e25 100644 --- a/ja/api/presets/index.html +++ b/ja/api/presets/index.html @@ -6,10 +6,10 @@ mbcp.presets | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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モジュール mbcp.presets ​

本模块塞了一些预设

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/presets/model/index.html b/ja/api/presets/model/index.html index 7814bde..a9c3b02 100644 --- a/ja/api/presets/model/index.html +++ b/ja/api/presets/model/index.html @@ -6,10 +6,10 @@ mbcp.presets.model | MBCP ドキュメント - + - - + + @@ -28,7 +28,7 @@ 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)] - + \ No newline at end of file diff --git a/ja/demo/best-practice.html b/ja/demo/best-practice.html index 8f51e36..fbdd1d7 100644 --- a/ja/demo/best-practice.html +++ b/ja/demo/best-practice.html @@ -6,10 +6,10 @@ ベストプラクティス | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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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/guide/index.html b/ja/guide/index.html index 0878f75..6cdaa3f 100644 --- a/ja/guide/index.html +++ b/ja/guide/index.html @@ -6,10 +6,10 @@ 开始不了一点 | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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开始不了一点 ​

∫12x111

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/index.html b/ja/index.html index 59068f5..8dd66eb 100644 --- a/ja/index.html +++ b/ja/index.html @@ -6,10 +6,10 @@ MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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MBCP

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
ベストプラクティス
MBCP logo
🛠️

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

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/refer/index.html b/ja/refer/index.html index 6d18a83..0b6b549 100644 --- a/ja/refer/index.html +++ b/ja/refer/index.html @@ -6,10 +6,10 @@ Reference | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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Reference ​

Help us to improve the documentation

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/refer/7-differential-euqtion/index.html b/refer/7-differential-euqtion/index.html index cc7a005..03d2ddc 100644 --- a/refer/7-differential-euqtion/index.html +++ b/refer/7-differential-euqtion/index.html @@ -6,10 +6,10 @@ 微分方程 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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微分方程 ​

文档由 VitePress 构建 | API引用由 litedoc 生成

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- + \ No newline at end of file diff --git a/refer/function/curry.html b/refer/function/curry.html index 58cfad4..e5180c4 100644 --- a/refer/function/curry.html +++ b/refer/function/curry.html @@ -6,10 +6,10 @@ 柯里化 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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- + \ No newline at end of file diff --git a/refer/function/function.html b/refer/function/function.html index 66ac971..9e62fed 100644 --- a/refer/function/function.html +++ b/refer/function/function.html @@ -6,10 +6,10 @@ 函数 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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- + \ No newline at end of file diff --git a/refer/index.html b/refer/index.html index 289a425..57cd5f3 100644 --- a/refer/index.html +++ b/refer/index.html @@ -6,10 +6,10 @@ 参考 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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Reference ​

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- + \ No newline at end of file diff --git a/zht/api/index.html b/zht/api/index.html index a3ea43d..4c83afc 100644 --- a/zht/api/index.html +++ b/zht/api/index.html @@ -6,10 +6,10 @@ mbcp | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp ​

本模块是主模块，提供了一些工具 可导入

mbcp.mp_math：数学工具

mbcp.particle：粒子生成工具

mbcp.presets：预设

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/angle.html b/zht/api/mp_math/angle.html index a5d60e7..8dd2cb9 100644 --- a/zht/api/mp_math/angle.html +++ b/zht/api/mp_math/angle.html @@ -6,10 +6,10 @@ mbcp.mp_math.angle | MBCP 文檔 - + - - + + @@ -56,7 +56,7 @@ if isinstance(other, AnyAngle): return self.radian / other.radian return AnyAngle(self.radian / other, is_radian=True) - + \ No newline at end of file diff --git a/zht/api/mp_math/const.html b/zht/api/mp_math/const.html index 2a48918..418ca46 100644 --- a/zht/api/mp_math/const.html +++ b/zht/api/mp_math/const.html @@ -6,10 +6,10 @@ mbcp.mp_math.const | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp.mp_math.const ​

本模块定义了一些常用的常量

var PI ​

  • 説明: 常量 π

  • 默認值: math.pi

var E ​

  • 説明: 自然对数的底 exp(1)

  • 默認值: math.e

var GOLDEN_RATIO ​

  • 説明: 黄金分割比

  • 默認值: (1 + math.sqrt(5)) / 2

var GAMMA ​

  • 説明: 欧拉常数

  • 默認值: 0.5772156649015329

var EPSILON ​

  • 説明: 精度误差

  • 默認值: 0.0001

var APPROX ​

  • 説明: 约等于判定误差

  • 默認值: 0.001

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/equation.html b/zht/api/mp_math/equation.html index 1ff298d..ad76677 100644 --- a/zht/api/mp_math/equation.html +++ b/zht/api/mp_math/equation.html @@ -6,10 +6,10 @@ mbcp.mp_math.equation | MBCP 文檔 - + - - + + @@ -45,7 +45,7 @@ return high_order_partial_derivative_func else: raise ValueError('Invalid var type') - + \ No newline at end of file diff --git a/zht/api/mp_math/function.html b/zht/api/mp_math/function.html index 80e665d..20c297d 100644 --- a/zht/api/mp_math/function.html +++ b/zht/api/mp_math/function.html @@ -6,10 +6,10 @@ mbcp.mp_math.function | MBCP 文檔 - + - - + + @@ -30,7 +30,7 @@ def curried_func(*args2: Var) -> Var: return func(*args, *args2) return curried_func - + \ No newline at end of file diff --git a/zht/api/mp_math/index.html b/zht/api/mp_math/index.html index 7eb9dc0..67e84ef 100644 --- a/zht/api/mp_math/index.html +++ b/zht/api/mp_math/index.html @@ -6,10 +6,10 @@ mbcp.mp_math | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp.mp_math ​

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：

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 fa4b3e1..2964201 100644 --- a/zht/api/mp_math/line.html +++ b/zht/api/mp_math/line.html @@ -6,12 +6,12 @@ mbcp.mp_math.line | MBCP 文檔 - + - - + + - + @@ -58,7 +58,7 @@ 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:

返回: Line3: 直线

源碼 或 於GitHub上查看
python
@classmethod
 def from_two_points(cls, p1: 'Point3', p2: 'Point3') -> 'Line3':
     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:

返回: Line3 | Point3 | None: 交集

源碼 或 於GitHub上查看
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
+    return cls(p1, direction)

method 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:

返回: Line3 | Point3 | None: 交集

源碼 或 於GitHub上查看
python
def __and__(self, other: 'Line3') -> 'Line3 | Point3 | None':
     if self.is_collinear(other):
         return self
     elif self.is_parallel(other) or not self.is_coplanar(other):
@@ -66,7 +66,7 @@
     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:

返回: bool: 是否等价

源碼 或 於GitHub上查看
python
def __eq__(self, other) -> bool:
     return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
- + \ 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 ce1a5c7..5b69dba 100644 --- a/zht/api/mp_math/mp_math_typing.html +++ b/zht/api/mp_math/mp_math_typing.html @@ -6,10 +6,10 @@ mbcp.mp_math.mp_math_typing | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp.mp_math.mp_math_typing ​

本模块用于内部类型提示

var RealNumber ​

  • 説明: 实数

  • 類型: TypeAlias

  • 默認值: int | float

var Number ​

  • 説明: 数

  • 類型: TypeAlias

  • 默認值: RealNumber | complex

var SingleVar ​

  • 説明: 单变量

  • 默認值: TypeVar('SingleVar', bound=Number)

var ArrayVar ​

  • 説明: 数组变量

  • 默認值: TypeVar('ArrayVar', bound=Iterable[Number])

var Var ​

  • 説明: 变量

  • 類型: TypeAlias

  • 默認值: SingleVar | ArrayVar

var OneSingleVarFunc ​

  • 説明: 一元单变量函数

  • 類型: TypeAlias

  • 默認值: Callable[[SingleVar], SingleVar]

var OneArrayFunc ​

  • 説明: 一元数组函数

  • 類型: TypeAlias

  • 默認值: Callable[[ArrayVar], ArrayVar]

var OneVarFunc ​

  • 説明: 一元函数

  • 類型: TypeAlias

  • 默認值: OneSingleVarFunc | OneArrayFunc

var TwoSingleVarsFunc ​

  • 説明: 二元单变量函数

  • 類型: TypeAlias

  • 默認值: Callable[[SingleVar, SingleVar], SingleVar]

var TwoArraysFunc ​

  • 説明: 二元数组函数

  • 類型: TypeAlias

  • 默認值: Callable[[ArrayVar, ArrayVar], ArrayVar]

var TwoVarsFunc ​

  • 説明: 二元函数

  • 類型: TypeAlias

  • 默認值: TwoSingleVarsFunc | TwoArraysFunc

var ThreeSingleVarsFunc ​

  • 説明: 三元单变量函数

  • 類型: TypeAlias

  • 默認值: Callable[[SingleVar, SingleVar, SingleVar], SingleVar]

var ThreeArraysFunc ​

  • 説明: 三元数组函数

  • 類型: TypeAlias

  • 默認值: Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar]

var ThreeVarsFunc ​

  • 説明: 三元函数

  • 類型: TypeAlias

  • 默認值: ThreeSingleVarsFunc | ThreeArraysFunc

var MultiSingleVarsFunc ​

  • 説明: 多元单变量函数

  • 類型: TypeAlias

  • 默認值: Callable[..., SingleVar]

var MultiArraysFunc ​

  • 説明: 多元数组函数

  • 類型: TypeAlias

  • 默認值: Callable[..., ArrayVar]

var MultiVarsFunc ​

  • 説明: 多元函数

  • 類型: TypeAlias

  • 默認值: MultiSingleVarsFunc | MultiArraysFunc

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 3fae06a..2bc5e8b 100644 --- a/zht/api/mp_math/plane.html +++ b/zht/api/mp_math/plane.html @@ -6,12 +6,12 @@ mbcp.mp_math.plane | MBCP 文檔 - + - - + + - + @@ -88,11 +88,11 @@ 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:

返回: 平面

源碼 或 於GitHub上查看
python
@classmethod
 def from_point_and_line(cls, point: 'Point3', line: 'Line3') -> 'Plane3':
-    return cls.from_point_and_normal(point, line.direction)

@overload

method __and__(self, other: Line3) -> Point3 | None ​

源碼 或 於GitHub上查看
python
@overload
+    return cls.from_point_and_normal(point, line.direction)

@overload

method self & other: Line3 => Point3 | None ​

源碼 或 於GitHub上查看
python
@overload
 def __and__(self, other: 'Line3') -> 'Point3 | None':
-    ...

@overload

method __and__(self, other: Plane3) -> Line3 | None ​

源碼 或 於GitHub上查看
python
@overload
+    ...

@overload

method self & other: Plane3 => Line3 | None ​

源碼 或 於GitHub上查看
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:

返回: Line3 | Point3 | None: 交集

抛出:

源碼 或 於GitHub上查看
python
def __and__(self, other):
+    ...

method self & other ​

説明: 取两平面的交集（人话：交线）

變數説明:

返回: Line3 | Point3 | None: 交集

抛出:

源碼 或 於GitHub上查看
python
def __and__(self, other):
     if isinstance(other, Plane3):
         if self.normal.is_parallel(other.normal):
             return None
@@ -105,7 +105,7 @@
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method __eq__(self, other) -> bool ​

説明: 判断两个平面是否等价。

變數説明:

返回: bool: 是否等价

源碼 或 於GitHub上查看
python
def __eq__(self, other) -> bool:
     return self.approx(other)

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

源碼 或 於GitHub上查看
python
def __rand__(self, other: 'Line3') -> 'Point3':
     return self.cal_intersection_point3(other)
- + \ No newline at end of file diff --git a/zht/api/mp_math/point.html b/zht/api/mp_math/point.html index d9e16f9..dfafed4 100644 --- a/zht/api/mp_math/point.html +++ b/zht/api/mp_math/point.html @@ -6,10 +6,10 @@ mbcp.mp_math.point | MBCP 文檔 - + - - + + @@ -31,7 +31,7 @@ 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 Vector3 中实现

變數説明:

返回: Vector3: 新的向量

源碼 或 於GitHub上查看
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
- + \ No newline at end of file diff --git a/zht/api/mp_math/segment.html b/zht/api/mp_math/segment.html index 8f6425b..28c8c40 100644 --- a/zht/api/mp_math/segment.html +++ b/zht/api/mp_math/segment.html @@ -6,10 +6,10 @@ mbcp.mp_math.segment | MBCP 文檔 - + - - + + @@ -27,7 +27,7 @@ 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) - + \ No newline at end of file diff --git a/zht/api/mp_math/utils.html b/zht/api/mp_math/utils.html index 016a8bf..334ac3e 100644 --- a/zht/api/mp_math/utils.html +++ b/zht/api/mp_math/utils.html @@ -6,10 +6,10 @@ mbcp.mp_math.utils | MBCP 文檔 - + - - + + @@ -46,7 +46,7 @@ return f'-{abs(x)}' else: return '' - + \ No newline at end of file diff --git a/zht/api/mp_math/vector.html b/zht/api/mp_math/vector.html index 96c3bf2..c3d7d2c 100644 --- a/zht/api/mp_math/vector.html +++ b/zht/api/mp_math/vector.html @@ -6,10 +6,10 @@ mbcp.mp_math.vector | MBCP 文檔 - + - - + + @@ -78,7 +78,7 @@ return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

源碼 或 於GitHub上查看
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
     return Vector3(self.x / other, self.y / other, self.z / other)

method - self => Vector3 ​

説明: 取负。

返回: Vector3: 负向量

源碼 或 於GitHub上查看
python
def __neg__(self) -> 'Vector3':
     return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 ​

var x_axis ​

var y_axis ​

var z_axis ​

- + \ No newline at end of file diff --git a/zht/api/particle/index.html b/zht/api/particle/index.html index a69cd42..fb36a75 100644 --- a/zht/api/particle/index.html +++ b/zht/api/particle/index.html @@ -6,10 +6,10 @@ mbcp.particle | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp.particle ​

本模块定义了粒子生成相关的工具

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/index.html b/zht/api/presets/index.html index 13beff4..3730a4a 100644 --- a/zht/api/presets/index.html +++ b/zht/api/presets/index.html @@ -6,10 +6,10 @@ mbcp.presets | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp.presets ​

本模块塞了一些预设

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 f7b52d6..630515d 100644 --- a/zht/api/presets/model/index.html +++ b/zht/api/presets/model/index.html @@ -6,10 +6,10 @@ mbcp.presets.model | MBCP 文檔 - + - - + + @@ -28,7 +28,7 @@ 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)] - + \ No newline at end of file diff --git a/zht/demo/best-practice.html b/zht/demo/best-practice.html index 653951a..b3cbc89 100644 --- a/zht/demo/best-practice.html +++ b/zht/demo/best-practice.html @@ -6,10 +6,10 @@ 最佳實踐 | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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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/guide/index.html b/zht/guide/index.html index 1dc6287..64c95ee 100644 --- a/zht/guide/index.html +++ b/zht/guide/index.html @@ -6,10 +6,10 @@ 开始不了一点 | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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开始不了一点 ​

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

- + \ No newline at end of file diff --git a/zht/index.html b/zht/index.html index e5af54e..9d947ad 100644 --- a/zht/index.html +++ b/zht/index.html @@ -6,10 +6,10 @@ MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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API文檔
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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

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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

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

- + \ No newline at end of file diff --git a/zht/refer/index.html b/zht/refer/index.html index 4545f78..3df5481 100644 --- a/zht/refer/index.html +++ b/zht/refer/index.html @@ -6,10 +6,10 @@ Reference | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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Reference ​

Help us to improve the documentation

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