diff --git a/404.html b/404.html index 99a6e2f..0146d14 100644 --- a/404.html +++ b/404.html @@ -6,9 +6,9 @@ 404 | MBCP 文档 - + - + @@ -16,7 +16,7 @@
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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

- +
MBCP 文档

简体中文

English
日本語
繁體中文

简体中文

English
日本語
繁體中文

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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

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mbcp.mp_math.angle ​

本模块定义了角度相关的类

class Angle ​

class AnyAngle(Angle) ​

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

说明: 任意角度。

参数:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源代码 或 在GitHub上查看
python
def __init__(self, value: float, is_radian: bool=False):
+    
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模块 mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
说明: 任意角度。
参数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源代码 或 在GitHub上查看
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -117,7 +117,7 @@
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
     return AnyAngle(self.radian / other, is_radian=True)
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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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

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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

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diff --git a/api/mp_math/equation.html b/api/mp_math/equation.html
index 03cbf19..b9945b3 100644
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mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
源代码 或 在GitHub上查看
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    
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模块 mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
源代码 或 在GitHub上查看
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -83,7 +83,7 @@
         return high_order_partial_derivative_func
     else:
         raise ValueError('Invalid var type')
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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mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
说明: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
参数:
返回: 梯度
源代码 或 在GitHub上查看
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
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模块 mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
说明: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
参数:
返回: 梯度
源代码 或 在GitHub上查看
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -60,7 +60,7 @@
         """@litedoc-hide"""
         return func(*args, *args2)
     return curried_func
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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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

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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

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diff --git a/api/mp_math/line.html b/api/mp_math/line.html
index 07f4774..f2f0086 100644
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mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
说明: 三维空间中的直线。由一个点和一个方向向量确定。
参数:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
源代码 或 在GitHub上查看
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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模块 mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
说明: 三维空间中的直线。由一个点和一个方向向量确定。
参数:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
源代码 或 在GitHub上查看
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
@@ -192,7 +192,7 @@
             [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否等价
         """
     return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
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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diff --git a/api/mp_math/mp_math_typing.html b/api/mp_math/mp_math_typing.html
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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

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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

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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):
+    
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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):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -224,7 +224,7 @@
         """
     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)
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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MBCP 文档
简体中文
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mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 笛卡尔坐标系中的点。
参数:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
+    
MBCP 文档
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模块 mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 笛卡尔坐标系中的点。
参数:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -70,7 +70,7 @@
         """
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
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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diff --git a/api/mp_math/segment.html b/api/mp_math/segment.html
index 71fe0e6..1b5a5f8 100644
--- a/api/mp_math/segment.html
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@@ -6,19 +6,19 @@
     mbcp.mp_math.segment | MBCP 文档
     
     
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mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
说明: 三维空间中的线段。
参数:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
源代码 或 在GitHub上查看
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
MBCP 文档
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模块 mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
说明: 三维空间中的线段。
参数:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
源代码 或 在GitHub上查看
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         Args:
@@ -33,7 +33,7 @@
     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)
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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diff --git a/api/mp_math/utils.html b/api/mp_math/utils.html
index 734a1ae..076175b 100644
--- a/api/mp_math/utils.html
+++ b/api/mp_math/utils.html
@@ -6,19 +6,19 @@
     mbcp.mp_math.utils | MBCP 文档
     
     
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MBCP 文档
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mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
说明: 区间限定函数
参数:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
返回: float: 限定在区间内的值
源代码 或 在GitHub上查看
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
MBCP 文档
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模块 mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
说明: 区间限定函数
参数:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
返回: float: 限定在区间内的值
源代码 或 在GitHub上查看
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -87,7 +87,7 @@
         return f'-{abs(x)}'
     else:
         return ''
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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diff --git a/api/mp_math/vector.html b/api/mp_math/vector.html
index 0a68249..a9ed4fe 100644
--- a/api/mp_math/vector.html
+++ b/api/mp_math/vector.html
@@ -6,19 +6,19 @@
     mbcp.mp_math.vector | MBCP 文档
     
     
-    
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MBCP 文档
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繁體中文
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mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 3维向量
参数:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
+    
MBCP 文档
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模块 mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 3维向量
参数:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -215,7 +215,7 @@
             [`Vector3`](#class-vector3): 负向量
         """
     return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 ​
  • 说明: 零向量
  • 类型: Vector3
  • 默认值: Vector3(0, 0, 0)
var x_axis ​
  • 说明: x轴单位向量
  • 类型: Vector3
  • 默认值: Vector3(1, 0, 0)
var y_axis ​
  • 说明: y轴单位向量
  • 类型: Vector3
  • 默认值: Vector3(0, 1, 0)
var z_axis ​
  • 说明: z轴单位向量
  • 类型: Vector3
  • 默认值: Vector3(0, 0, 1)
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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diff --git a/api/particle/index.html b/api/particle/index.html
index 4f399ff..8c112d5 100644
--- a/api/particle/index.html
+++ b/api/particle/index.html
@@ -6,20 +6,20 @@
     mbcp.particle | MBCP 文档
     
     
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diff --git a/api/presets/index.html b/api/presets/index.html
index e8b63a3..fee0274 100644
--- a/api/presets/index.html
+++ b/api/presets/index.html
@@ -6,20 +6,20 @@
     mbcp.presets | MBCP 文档
     
     
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diff --git a/api/presets/model/index.html b/api/presets/model/index.html
index c04df71..d145a81 100644
--- a/api/presets/model/index.html
+++ b/api/presets/model/index.html
@@ -6,19 +6,19 @@
     mbcp.presets.model | MBCP 文档
     
     
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MBCP 文档
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mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
说明: 生成球体上的点集。
参数:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源代码 或 在GitHub上查看
python
@staticmethod
+    
MBCP 文档
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模块 mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
说明: 生成球体上的点集。
参数:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源代码 或 在GitHub上查看
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -36,7 +36,7 @@
     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)]
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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diff --git a/assets/api_index.md.YS-zqWwM.js b/assets/api_index.md.BO3OGCZm.js
similarity index 71%
rename from assets/api_index.md.YS-zqWwM.js
rename to assets/api_index.md.BO3OGCZm.js
index 18243d2..74dc281 100644
--- a/assets/api_index.md.YS-zqWwM.js
+++ b/assets/api_index.md.BO3OGCZm.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/index.md","filePath":"zh/api/index.md"}'),p={name:"api/index.md"},o=c('
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
',5),r=[o];function s(d,_,i,n,m,l){return t(),a("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/index.md","filePath":"zh/api/index.md"}'),p={name:"api/index.md"},o=c('
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
',5),r=[o];function s(d,_,i,n,m,l){return t(),a("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
diff --git a/assets/api_index.md.YS-zqWwM.lean.js b/assets/api_index.md.BO3OGCZm.lean.js
similarity index 100%
rename from assets/api_index.md.YS-zqWwM.lean.js
rename to assets/api_index.md.BO3OGCZm.lean.js
diff --git a/assets/api_mp_math_angle.md.CThQB5nq.js b/assets/api_mp_math_angle.md.DXjHPMcZ.js
similarity index 94%
rename from assets/api_mp_math_angle.md.CThQB5nq.js
rename to assets/api_mp_math_angle.md.DXjHPMcZ.js
index cdd91a9..188d692 100644
--- a/assets/api_mp_math_angle.md.CThQB5nq.js
+++ b/assets/api_mp_math_angle.md.DXjHPMcZ.js
@@ -1,4 +1,4 @@
-import{_ as s,c as a,o as i,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"zh/api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n(`
mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
说明: 任意角度。
参数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源代码 或 在GitHub上查看
python
def __init__(self, value: float, is_radian: bool=False):
+import{_ as s,c as a,o as i,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/angle.md","filePath":"zh/api/mp_math/angle.md"}'),t={name:"api/mp_math/angle.md"},e=n(`
模块 mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
说明: 任意角度。
参数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源代码 或 在GitHub上查看
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
diff --git a/assets/api_mp_math_angle.md.CThQB5nq.lean.js b/assets/api_mp_math_angle.md.DXjHPMcZ.lean.js
similarity index 100%
rename from assets/api_mp_math_angle.md.CThQB5nq.lean.js
rename to assets/api_mp_math_angle.md.DXjHPMcZ.lean.js
diff --git a/assets/api_mp_math_const.md.DqjQQ6Ym.js b/assets/api_mp_math_const.md.B_APaY-d.js
similarity index 83%
rename from assets/api_mp_math_const.md.DqjQQ6Ym.js
rename to assets/api_mp_math_const.md.B_APaY-d.js
index da9134c..35df56a 100644
--- a/assets/api_mp_math_const.md.DqjQQ6Ym.js
+++ b/assets/api_mp_math_const.md.B_APaY-d.js
@@ -1 +1 @@
-import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},l=e('
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
',14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const g=a(r,[["render",i]]);export{u as __pageData,g as default};
+import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const g=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},l=e('
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
',14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const u=a(r,[["render",i]]);export{g as __pageData,u as default};
diff --git a/assets/api_mp_math_const.md.DqjQQ6Ym.lean.js b/assets/api_mp_math_const.md.B_APaY-d.lean.js
similarity index 72%
rename from assets/api_mp_math_const.md.DqjQQ6Ym.lean.js
rename to assets/api_mp_math_const.md.B_APaY-d.lean.js
index e5f072c..57f580a 100644
--- a/assets/api_mp_math_const.md.DqjQQ6Ym.lean.js
+++ b/assets/api_mp_math_const.md.B_APaY-d.lean.js
@@ -1 +1 @@
-import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},l=e("",14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const g=a(r,[["render",i]]);export{u as __pageData,g as default};
+import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const g=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/const.md","filePath":"zh/api/mp_math/const.md"}'),r={name:"api/mp_math/const.md"},l=e("",14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const u=a(r,[["render",i]]);export{g as __pageData,u as default};
diff --git a/assets/api_mp_math_equation.md.C1YMGsIR.js b/assets/api_mp_math_equation.md.qaTLbds6.js
similarity index 89%
rename from assets/api_mp_math_equation.md.C1YMGsIR.js
rename to assets/api_mp_math_equation.md.qaTLbds6.js
index 75fa61d..986185a 100644
--- a/assets/api_mp_math_equation.md.C1YMGsIR.js
+++ b/assets/api_mp_math_equation.md.qaTLbds6.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),t={name:"api/mp_math/equation.md"},l=n(`
mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
源代码 或 在GitHub上查看
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),t={name:"api/mp_math/equation.md"},l=n(`
模块 mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
源代码 或 在GitHub上查看
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
diff --git a/assets/api_mp_math_equation.md.C1YMGsIR.lean.js b/assets/api_mp_math_equation.md.qaTLbds6.lean.js
similarity index 100%
rename from assets/api_mp_math_equation.md.C1YMGsIR.lean.js
rename to assets/api_mp_math_equation.md.qaTLbds6.lean.js
diff --git a/assets/api_mp_math_function.md.C0P_-kol.js b/assets/api_mp_math_function.md.D6Sk-jUO.js
similarity index 99%
rename from assets/api_mp_math_function.md.C0P_-kol.js
rename to assets/api_mp_math_function.md.D6Sk-jUO.js
index 57804d5..f907517 100644
--- a/assets/api_mp_math_function.md.C0P_-kol.js
+++ b/assets/api_mp_math_function.md.D6Sk-jUO.js
@@ -1,4 +1,4 @@
-import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/function.md","filePath":"zh/api/mp_math/function.md"}'),e={name:"api/mp_math/function.md"},Q=a('
mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
说明: 计算三元函数在某点的梯度向量。
',4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a('',1),o=[d],k=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,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),u=[c],y=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("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a('',1),_=[f],C=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",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a(`
参数:
返回: 梯度
源代码 或 在GitHub上查看
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/function.md","filePath":"zh/api/mp_math/function.md"}'),e={name:"api/mp_math/function.md"},Q=a('
模块 mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
说明: 计算三元函数在某点的梯度向量。
',4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a('',1),o=[d],k=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,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),u=[c],y=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("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a('',1),_=[f],C=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",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a(`
参数:
返回: 梯度
源代码 或 在GitHub上查看
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
diff --git a/assets/api_mp_math_function.md.C0P_-kol.lean.js b/assets/api_mp_math_function.md.D6Sk-jUO.lean.js
similarity index 100%
rename from assets/api_mp_math_function.md.C0P_-kol.lean.js
rename to assets/api_mp_math_function.md.D6Sk-jUO.lean.js
diff --git a/assets/api_mp_math_index.md.yEj9pzOD.js b/assets/api_mp_math_index.md.BfSAi6YB.js
similarity index 81%
rename from assets/api_mp_math_index.md.yEj9pzOD.js
rename to assets/api_mp_math_index.md.BfSAi6YB.js
index 81b121c..fe6a4cc 100644
--- a/assets/api_mp_math_index.md.yEj9pzOD.js
+++ b/assets/api_mp_math_index.md.BfSAi6YB.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/mp_math/index.md","filePath":"zh/api/mp_math/index.md"}'),l={name:"api/mp_math/index.md"},o=c('
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：
',3),i=[o];function m(n,s,d,p,r,h){return t(),a("div",null,i)}const u=e(l,[["render",m]]);export{f as __pageData,u as default};
+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/mp_math/index.md","filePath":"zh/api/mp_math/index.md"}'),l={name:"api/mp_math/index.md"},o=c('
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：
',3),i=[o];function m(n,s,d,p,r,h){return t(),a("div",null,i)}const u=e(l,[["render",m]]);export{f as __pageData,u as default};
diff --git a/assets/api_mp_math_index.md.yEj9pzOD.lean.js b/assets/api_mp_math_index.md.BfSAi6YB.lean.js
similarity index 100%
rename from assets/api_mp_math_index.md.yEj9pzOD.lean.js
rename to assets/api_mp_math_index.md.BfSAi6YB.lean.js
diff --git a/assets/api_mp_math_line.md.Okmn0BTW.js b/assets/api_mp_math_line.md.K-HhIsvU.js
similarity index 96%
rename from assets/api_mp_math_line.md.Okmn0BTW.js
rename to assets/api_mp_math_line.md.K-HhIsvU.js
index 51f6cbf..bdce64d 100644
--- a/assets/api_mp_math_line.md.Okmn0BTW.js
+++ b/assets/api_mp_math_line.md.K-HhIsvU.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n(`
mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
说明: 三维空间中的直线。由一个点和一个方向向量确定。
参数:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
源代码 或 在GitHub上查看
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/line.md","filePath":"zh/api/mp_math/line.md"}'),t={name:"api/mp_math/line.md"},l=n(`
模块 mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
说明: 三维空间中的直线。由一个点和一个方向向量确定。
参数:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
源代码 或 在GitHub上查看
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
diff --git a/assets/api_mp_math_line.md.Okmn0BTW.lean.js b/assets/api_mp_math_line.md.K-HhIsvU.lean.js
similarity index 100%
rename from assets/api_mp_math_line.md.Okmn0BTW.lean.js
rename to assets/api_mp_math_line.md.K-HhIsvU.lean.js
diff --git a/assets/api_mp_math_mp_math_typing.md.bdiOSvFy.js b/assets/api_mp_math_mp_math_typing.md.D0jHaHho.js
similarity index 96%
rename from assets/api_mp_math_mp_math_typing.md.bdiOSvFy.js
rename to assets/api_mp_math_mp_math_typing.md.D0jHaHho.js
index 88efb6f..16ec400 100644
--- a/assets/api_mp_math_mp_math_typing.md.bdiOSvFy.js
+++ b/assets/api_mp_math_mp_math_typing.md.D0jHaHho.js
@@ -1 +1 @@
-import{_ as a,c as r,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const v=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/mp_math_typing.md","filePath":"zh/api/mp_math/mp_math_typing.md"}'),l={name:"api/mp_math/mp_math_typing.md"},n=o('
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
',36),t=[n];function i(s,c,d,p,u,g){return e(),r("div",null,t)}const m=a(l,[["render",i]]);export{v as __pageData,m as default};
+import{_ as a,c as r,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const v=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/mp_math_typing.md","filePath":"zh/api/mp_math/mp_math_typing.md"}'),l={name:"api/mp_math/mp_math_typing.md"},n=o('
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
',36),t=[n];function i(s,c,d,p,u,g){return e(),r("div",null,t)}const m=a(l,[["render",i]]);export{v as __pageData,m as default};
diff --git a/assets/api_mp_math_mp_math_typing.md.bdiOSvFy.lean.js b/assets/api_mp_math_mp_math_typing.md.D0jHaHho.lean.js
similarity index 100%
rename from assets/api_mp_math_mp_math_typing.md.bdiOSvFy.lean.js
rename to assets/api_mp_math_mp_math_typing.md.D0jHaHho.lean.js
diff --git a/assets/api_mp_math_plane.md.Dl-FdXx3.js b/assets/api_mp_math_plane.md.DQhjzD06.js
similarity index 97%
rename from assets/api_mp_math_plane.md.Dl-FdXx3.js
rename to assets/api_mp_math_plane.md.DQhjzD06.js
index 7b6359d..81624c4 100644
--- a/assets/api_mp_math_plane.md.Dl-FdXx3.js
+++ b/assets/api_mp_math_plane.md.DQhjzD06.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=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"},t=n(`
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 s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=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"},t=n(`
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):
     """
         平面方程：ax + by + cz + d = 0
         Args:
diff --git a/assets/api_mp_math_plane.md.Dl-FdXx3.lean.js b/assets/api_mp_math_plane.md.DQhjzD06.lean.js
similarity index 100%
rename from assets/api_mp_math_plane.md.Dl-FdXx3.lean.js
rename to assets/api_mp_math_plane.md.DQhjzD06.lean.js
diff --git a/assets/api_mp_math_point.md.xU6HjeL2.js b/assets/api_mp_math_point.md.NLp_Sg9U.js
similarity index 90%
rename from assets/api_mp_math_point.md.xU6HjeL2.js
rename to assets/api_mp_math_point.md.NLp_Sg9U.js
index 64febee..3c06616 100644
--- a/assets/api_mp_math_point.md.xU6HjeL2.js
+++ b/assets/api_mp_math_point.md.NLp_Sg9U.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"zh/api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},h=t(`
mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 笛卡尔坐标系中的点。
参数:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/point.md","filePath":"zh/api/mp_math/point.md"}'),n={name:"api/mp_math/point.md"},h=t(`
模块 mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 笛卡尔坐标系中的点。
参数:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
diff --git a/assets/api_mp_math_point.md.xU6HjeL2.lean.js b/assets/api_mp_math_point.md.NLp_Sg9U.lean.js
similarity index 100%
rename from assets/api_mp_math_point.md.xU6HjeL2.lean.js
rename to assets/api_mp_math_point.md.NLp_Sg9U.lean.js
diff --git a/assets/api_mp_math_segment.md.BqloNjdD.js b/assets/api_mp_math_segment.md.C2PEP6H5.js
similarity index 70%
rename from assets/api_mp_math_segment.md.BqloNjdD.js
rename to assets/api_mp_math_segment.md.C2PEP6H5.js
index 9500797..5e8b841 100644
--- a/assets/api_mp_math_segment.md.BqloNjdD.js
+++ b/assets/api_mp_math_segment.md.C2PEP6H5.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},p=n(`
mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
说明: 三维空间中的线段。
参数:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
源代码 或 在GitHub上查看
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},p=n(`
模块 mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
说明: 三维空间中的线段。
参数:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
源代码 或 在GitHub上查看
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         Args:
@@ -12,4 +12,4 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F
     '长度'
     self.length = self.direction.length
     '中心点'
-    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,8),h=[p];function l(e,k,r,d,E,o){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,8),h=[p];function l(e,k,r,d,o,E){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};
diff --git a/assets/api_mp_math_segment.md.BqloNjdD.lean.js b/assets/api_mp_math_segment.md.C2PEP6H5.lean.js
similarity index 86%
rename from assets/api_mp_math_segment.md.BqloNjdD.lean.js
rename to assets/api_mp_math_segment.md.C2PEP6H5.lean.js
index 5049e34..b310795 100644
--- a/assets/api_mp_math_segment.md.BqloNjdD.lean.js
+++ b/assets/api_mp_math_segment.md.C2PEP6H5.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},p=n("",8),h=[p];function l(e,k,r,d,E,o){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/segment.md","filePath":"zh/api/mp_math/segment.md"}'),t={name:"api/mp_math/segment.md"},p=n("",8),h=[p];function l(e,k,r,d,o,E){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};
diff --git a/assets/api_mp_math_utils.md.CGBZjr3t.js b/assets/api_mp_math_utils.md.QB0hGGMg.js
similarity index 92%
rename from assets/api_mp_math_utils.md.CGBZjr3t.js
rename to assets/api_mp_math_utils.md.QB0hGGMg.js
index d89ff7f..01901d1 100644
--- a/assets/api_mp_math_utils.md.CGBZjr3t.js
+++ b/assets/api_mp_math_utils.md.QB0hGGMg.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"zh/api/mp_math/utils.md"}'),n={name:"api/mp_math/utils.md"},l=t(`
mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
说明: 区间限定函数
参数:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
返回: float: 限定在区间内的值
源代码 或 在GitHub上查看
python
def clamp(x: float, min_: float, max_: float) -> float:
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/utils.md","filePath":"zh/api/mp_math/utils.md"}'),n={name:"api/mp_math/utils.md"},l=t(`
模块 mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
说明: 区间限定函数
参数:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
返回: float: 限定在区间内的值
源代码 或 在GitHub上查看
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
diff --git a/assets/api_mp_math_utils.md.CGBZjr3t.lean.js b/assets/api_mp_math_utils.md.QB0hGGMg.lean.js
similarity index 100%
rename from assets/api_mp_math_utils.md.CGBZjr3t.lean.js
rename to assets/api_mp_math_utils.md.QB0hGGMg.lean.js
diff --git a/assets/api_mp_math_vector.md.B443ftAV.js b/assets/api_mp_math_vector.md.B1Wu6c9G.js
similarity index 97%
rename from assets/api_mp_math_vector.md.B443ftAV.js
rename to assets/api_mp_math_vector.md.B1Wu6c9G.js
index e145449..8028ac2 100644
--- a/assets/api_mp_math_vector.md.B443ftAV.js
+++ b/assets/api_mp_math_vector.md.B1Wu6c9G.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"zh/api/mp_math/vector.md"}'),n={name:"api/mp_math/vector.md"},e=t(`
mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 3维向量
参数:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"zh/api/mp_math/vector.md"}'),n={name:"api/mp_math/vector.md"},e=t(`
模块 mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
说明: 3维向量
参数:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
diff --git a/assets/api_mp_math_vector.md.B443ftAV.lean.js b/assets/api_mp_math_vector.md.B1Wu6c9G.lean.js
similarity index 100%
rename from assets/api_mp_math_vector.md.B443ftAV.lean.js
rename to assets/api_mp_math_vector.md.B1Wu6c9G.lean.js
diff --git a/assets/api_particle_index.md.BnaJlvrB.js b/assets/api_particle_index.md.BnaJlvrB.js
new file mode 100644
index 0000000..da0aafb
--- /dev/null
+++ b/assets/api_particle_index.md.BnaJlvrB.js
@@ -0,0 +1 @@
+import{_ as t,c,o as r,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/particle/index.md","filePath":"zh/api/particle/index.md"}'),i={name:"api/particle/index.md"},l=e("h1",{id:"模块-mbcp-particle",tabindex:"-1"},[e("strong",null,"模块"),a(),e("code",null,"mbcp.particle"),a(),e("a",{class:"header-anchor",href:"#模块-mbcp-particle","aria-label":'Permalink to "**模块** `mbcp.particle`"'},"​")],-1),p=e("p",null,"本模块定义了粒子生成相关的工具",-1),s=[l,p];function n(o,d,_,m,h,f){return r(),c("div",null,s)}const b=t(i,[["render",n]]);export{x as __pageData,b as default};
diff --git a/assets/api_particle_index.md.BnaJlvrB.lean.js b/assets/api_particle_index.md.BnaJlvrB.lean.js
new file mode 100644
index 0000000..da0aafb
--- /dev/null
+++ b/assets/api_particle_index.md.BnaJlvrB.lean.js
@@ -0,0 +1 @@
+import{_ as t,c,o as r,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/particle/index.md","filePath":"zh/api/particle/index.md"}'),i={name:"api/particle/index.md"},l=e("h1",{id:"模块-mbcp-particle",tabindex:"-1"},[e("strong",null,"模块"),a(),e("code",null,"mbcp.particle"),a(),e("a",{class:"header-anchor",href:"#模块-mbcp-particle","aria-label":'Permalink to "**模块** `mbcp.particle`"'},"​")],-1),p=e("p",null,"本模块定义了粒子生成相关的工具",-1),s=[l,p];function n(o,d,_,m,h,f){return r(),c("div",null,s)}const b=t(i,[["render",n]]);export{x as __pageData,b as default};
diff --git a/assets/api_particle_index.md.VxgsHiZa.js b/assets/api_particle_index.md.VxgsHiZa.js
deleted file mode 100644
index 0e6c15b..0000000
--- a/assets/api_particle_index.md.VxgsHiZa.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as a,c as t,o as c,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/particle/index.md","filePath":"zh/api/particle/index.md"}'),i={name:"api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[r("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),s=e("p",null,"本模块定义了粒子生成相关的工具",-1),l=[p,s];function o(n,d,_,m,h,f){return c(),t("div",null,l)}const u=a(i,[["render",o]]);export{b as __pageData,u as default};
diff --git a/assets/api_particle_index.md.VxgsHiZa.lean.js b/assets/api_particle_index.md.VxgsHiZa.lean.js
deleted file mode 100644
index 0e6c15b..0000000
--- a/assets/api_particle_index.md.VxgsHiZa.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as a,c as t,o as c,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/particle/index.md","filePath":"zh/api/particle/index.md"}'),i={name:"api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[r("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),s=e("p",null,"本模块定义了粒子生成相关的工具",-1),l=[p,s];function o(n,d,_,m,h,f){return c(),t("div",null,l)}const u=a(i,[["render",o]]);export{b as __pageData,u as default};
diff --git a/assets/api_presets_index.md.BEZBx6Gj.js b/assets/api_presets_index.md.BEZBx6Gj.js
deleted file mode 100644
index ee491b3..0000000
--- a/assets/api_presets_index.md.BEZBx6Gj.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as t,c as s,o as a,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/index.md","filePath":"zh/api/presets/index.md"}'),p={name:"api/presets/index.md"},c=e("h1",{id:"mbcp-presets",tabindex:"-1"},[r("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),o=e("p",null,"本模块塞了一些预设",-1),n=[c,o];function d(i,l,_,m,h,f){return a(),s("div",null,n)}const u=t(p,[["render",d]]);export{b as __pageData,u as default};
diff --git a/assets/api_presets_index.md.BEZBx6Gj.lean.js b/assets/api_presets_index.md.BEZBx6Gj.lean.js
deleted file mode 100644
index ee491b3..0000000
--- a/assets/api_presets_index.md.BEZBx6Gj.lean.js
+++ /dev/null
@@ -1 +0,0 @@
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new file mode 100644
index 0000000..c223399
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@@ -0,0 +1 @@
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new file mode 100644
index 0000000..c223399
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+++ b/assets/api_presets_index.md.Cn3tbiU4.lean.js
@@ -0,0 +1 @@
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diff --git a/assets/api_presets_model_index.md.CzrZX1Li.js b/assets/api_presets_model_index.md.BH3azKA8.js
similarity index 79%
rename from assets/api_presets_model_index.md.CzrZX1Li.js
rename to assets/api_presets_model_index.md.BH3azKA8.js
index 05acf16..857fde7 100644
--- a/assets/api_presets_model_index.md.CzrZX1Li.js
+++ b/assets/api_presets_model_index.md.BH3azKA8.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"zh/api/presets/model/index.md"}'),n={name:"api/presets/model/index.md"},h=t(`
mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
说明: 生成球体上的点集。
参数:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源代码 或 在GitHub上查看
python
@staticmethod
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"zh/api/presets/model/index.md"}'),n={name:"api/presets/model/index.md"},h=t(`
模块 mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
说明: 生成球体上的点集。
参数:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源代码 或 在GitHub上查看
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -15,4 +15,4 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
`,10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
`,10),l=[h];function p(e,k,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
diff --git a/assets/api_presets_model_index.md.CzrZX1Li.lean.js b/assets/api_presets_model_index.md.BH3azKA8.lean.js
similarity index 87%
rename from assets/api_presets_model_index.md.CzrZX1Li.lean.js
rename to assets/api_presets_model_index.md.BH3azKA8.lean.js
index adb0c48..5dbf3aa 100644
--- a/assets/api_presets_model_index.md.CzrZX1Li.lean.js
+++ b/assets/api_presets_model_index.md.BH3azKA8.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"zh/api/presets/model/index.md"}'),n={name:"api/presets/model/index.md"},h=t("",10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"api/presets/model/index.md","filePath":"zh/api/presets/model/index.md"}'),n={name:"api/presets/model/index.md"},h=t("",10),l=[h];function p(e,k,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
diff --git a/assets/app.B5pcS0RV.js b/assets/app.CiQ6AA_G.js
similarity index 95%
rename from assets/app.B5pcS0RV.js
rename to assets/app.CiQ6AA_G.js
index c74d9ec..9add4fe 100644
--- a/assets/app.B5pcS0RV.js
+++ b/assets/app.CiQ6AA_G.js
@@ -1 +1 @@
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+import{t as p}from"./chunks/theme.DHjGH3Nl.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.CHzCNdBP.js b/assets/chunks/@localSearchIndexen.CHzCNdBP.js
deleted file mode 100644
index 05fb4b9..0000000
--- a/assets/chunks/@localSearchIndexen.CHzCNdBP.js
+++ /dev/null
@@ -1 +0,0 @@
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mbcp.mp_math.segment","titles":[]},"106":{"title":"class Segment3","titles":["モジュール mbcp.mp_math.segment"]},"107":{"title":"method __init__(self, p1: Point3, p2: Point3)","titles":["モジュール mbcp.mp_math.segment","class Segment3"]},"108":{"title":"モジュール mbcp.mp_math.utils","titles":[]},"109":{"title":"func clamp(x: float, min_: float, max_: float) -> float","titles":["モジュール mbcp.mp_math.utils"]},"110":{"title":"class Approx","titles":["モジュール mbcp.mp_math.utils"]},"111":{"title":"method __init__(self, value: RealNumber)","titles":["モジュール mbcp.mp_math.utils","class Approx"]},"112":{"title":"method __eq__(self, other)","titles":["モジュール mbcp.mp_math.utils","class Approx"]},"113":{"title":"method raise_type_error(self, other)","titles":["モジュール mbcp.mp_math.utils","class Approx"]},"114":{"title":"method __ne__(self, other)","titles":["モジュール mbcp.mp_math.utils","class Approx"]},"115":{"title":"func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool","titles":["モジュール 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index caf65a2..0000000
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diff --git a/assets/chunks/theme.ClwrcgHO.js b/assets/chunks/theme.DHjGH3Nl.js
similarity index 99%
rename from assets/chunks/theme.ClwrcgHO.js
rename to assets/chunks/theme.DHjGH3Nl.js
index be3a74e..591f781 100644
--- a/assets/chunks/theme.ClwrcgHO.js
+++ b/assets/chunks/theme.DHjGH3Nl.js
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diff --git a/assets/en_api_index.md.BrJlad-k.js b/assets/en_api_index.md.C0-LRrMB.js
similarity index 57%
rename from assets/en_api_index.md.BrJlad-k.js
rename to assets/en_api_index.md.C0-LRrMB.js
index 74d78b3..d6f82eb 100644
--- a/assets/en_api_index.md.BrJlad-k.js
+++ b/assets/en_api_index.md.C0-LRrMB.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),p={name:"en/api/index.md"},o=c('
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
',5),r=[o];function s(d,_,n,i,m,l){return t(),a("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),o={name:"en/api/index.md"},p=c('
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
',5),d=[p];function r(s,n,_,i,m,l){return t(),a("div",null,d)}const u=e(o,[["render",r]]);export{f as __pageData,u as default};
diff --git a/assets/en_api_index.md.BrJlad-k.lean.js b/assets/en_api_index.md.C0-LRrMB.lean.js
similarity index 59%
rename from assets/en_api_index.md.BrJlad-k.lean.js
rename to assets/en_api_index.md.C0-LRrMB.lean.js
index 2206d73..eaab8b4 100644
--- a/assets/en_api_index.md.BrJlad-k.lean.js
+++ b/assets/en_api_index.md.C0-LRrMB.lean.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),p={name:"en/api/index.md"},o=c("",5),r=[o];function s(d,_,n,i,m,l){return t(),a("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/index.md","filePath":"en/api/index.md"}'),o={name:"en/api/index.md"},p=c("",5),d=[p];function r(s,n,_,i,m,l){return t(),a("div",null,d)}const u=e(o,[["render",r]]);export{f as __pageData,u as default};
diff --git a/assets/en_api_mp_math_angle.md.BvzeTdtj.js b/assets/en_api_mp_math_angle.md.B5tdtBiM.js
similarity index 94%
rename from assets/en_api_mp_math_angle.md.BvzeTdtj.js
rename to assets/en_api_mp_math_angle.md.B5tdtBiM.js
index 49cb54e..722b1fe 100644
--- a/assets/en_api_mp_math_angle.md.BvzeTdtj.js
+++ b/assets/en_api_mp_math_angle.md.B5tdtBiM.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/angle.md","filePath":"en/api/mp_math/angle.md"}'),t={name:"en/api/mp_math/angle.md"},e=n(`
mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
Description: 任意角度。
Arguments:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code or View on GitHub
python
def __init__(self, value: float, is_radian: bool=False):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/angle.md","filePath":"en/api/mp_math/angle.md"}'),t={name:"en/api/mp_math/angle.md"},e=n(`
Module mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
Description: 任意角度。
Arguments:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code or View on GitHub
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
diff --git a/assets/en_api_mp_math_angle.md.BvzeTdtj.lean.js b/assets/en_api_mp_math_angle.md.B5tdtBiM.lean.js
similarity index 100%
rename from assets/en_api_mp_math_angle.md.BvzeTdtj.lean.js
rename to assets/en_api_mp_math_angle.md.B5tdtBiM.lean.js
diff --git a/assets/en_api_mp_math_const.md.CrUt_3FV.js b/assets/en_api_mp_math_const.md.f-2wQHW5.js
similarity index 84%
rename from assets/en_api_mp_math_const.md.CrUt_3FV.js
rename to assets/en_api_mp_math_const.md.f-2wQHW5.js
index bd4aed6..ec8b77d 100644
--- a/assets/en_api_mp_math_const.md.CrUt_3FV.js
+++ b/assets/en_api_mp_math_const.md.f-2wQHW5.js
@@ -1 +1 @@
-import{_ as a,c as t,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const _=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/const.md","filePath":"en/api/mp_math/const.md"}'),r={name:"en/api/mp_math/const.md"},i=o('
mbcp.mp_math.const ​
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
',14),l=[i];function n(s,c,p,d,h,m){return e(),t("div",null,l)}const g=a(r,[["render",n]]);export{_ as __pageData,g as default};
+import{_ as a,c as o,o as e,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const _=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/const.md","filePath":"en/api/mp_math/const.md"}'),r={name:"en/api/mp_math/const.md"},l=t('
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
',14),i=[l];function n(s,c,p,d,h,m){return e(),o("div",null,i)}const g=a(r,[["render",n]]);export{_ as __pageData,g as default};
diff --git a/assets/en_api_mp_math_const.md.CrUt_3FV.lean.js b/assets/en_api_mp_math_const.md.f-2wQHW5.lean.js
similarity index 58%
rename from assets/en_api_mp_math_const.md.CrUt_3FV.lean.js
rename to assets/en_api_mp_math_const.md.f-2wQHW5.lean.js
index 9b0e34a..f9e7a8d 100644
--- a/assets/en_api_mp_math_const.md.CrUt_3FV.lean.js
+++ b/assets/en_api_mp_math_const.md.f-2wQHW5.lean.js
@@ -1 +1 @@
-import{_ as a,c as t,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const _=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/const.md","filePath":"en/api/mp_math/const.md"}'),r={name:"en/api/mp_math/const.md"},i=o("",14),l=[i];function n(s,c,p,d,h,m){return e(),t("div",null,l)}const g=a(r,[["render",n]]);export{_ as __pageData,g as default};
+import{_ as a,c as o,o as e,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const _=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/const.md","filePath":"en/api/mp_math/const.md"}'),r={name:"en/api/mp_math/const.md"},l=t("",14),i=[l];function n(s,c,p,d,h,m){return e(),o("div",null,i)}const g=a(r,[["render",n]]);export{_ as __pageData,g as default};
diff --git a/assets/en_api_mp_math_equation.md.CHBtH4v6.js b/assets/en_api_mp_math_equation.md.N3oP-7Ua.js
similarity index 89%
rename from assets/en_api_mp_math_equation.md.CHBtH4v6.js
rename to assets/en_api_mp_math_equation.md.N3oP-7Ua.js
index 5714a40..88be957 100644
--- a/assets/en_api_mp_math_equation.md.CHBtH4v6.js
+++ b/assets/en_api_mp_math_equation.md.N3oP-7Ua.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),t={name:"en/api/mp_math/equation.md"},l=n(`
mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
Source code or View on GitHub
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),t={name:"en/api/mp_math/equation.md"},l=n(`
Module mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
Source code or View on GitHub
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
diff --git a/assets/en_api_mp_math_equation.md.CHBtH4v6.lean.js b/assets/en_api_mp_math_equation.md.N3oP-7Ua.lean.js
similarity index 100%
rename from assets/en_api_mp_math_equation.md.CHBtH4v6.lean.js
rename to assets/en_api_mp_math_equation.md.N3oP-7Ua.lean.js
diff --git a/assets/en_api_mp_math_function.md.D68bTyed.js b/assets/en_api_mp_math_function.md.BT0NB_1n.js
similarity index 99%
rename from assets/en_api_mp_math_function.md.D68bTyed.js
rename to assets/en_api_mp_math_function.md.BT0NB_1n.js
index 9c5c7a0..7afc361 100644
--- a/assets/en_api_mp_math_function.md.D68bTyed.js
+++ b/assets/en_api_mp_math_function.md.BT0NB_1n.js
@@ -1,4 +1,4 @@
-import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const V=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/function.md","filePath":"en/api/mp_math/function.md"}'),e={name:"en/api/mp_math/function.md"},Q=a('
mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
Description: 计算三元函数在某点的梯度向量。
',4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a('',1),o=[d],k=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,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),u=[c],y=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("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a('',1),_=[f],C=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",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a(`
Arguments:
Return: 梯度
Source code or View on GitHub
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const V=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/function.md","filePath":"en/api/mp_math/function.md"}'),e={name:"en/api/mp_math/function.md"},Q=a('
Module mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
Description: 计算三元函数在某点的梯度向量。
',4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a('',1),o=[d],k=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,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),u=[c],y=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("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a('',1),_=[f],C=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",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a(`
Arguments:
Return: 梯度
Source code or View on GitHub
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
diff --git a/assets/en_api_mp_math_function.md.D68bTyed.lean.js b/assets/en_api_mp_math_function.md.BT0NB_1n.lean.js
similarity index 100%
rename from assets/en_api_mp_math_function.md.D68bTyed.lean.js
rename to assets/en_api_mp_math_function.md.BT0NB_1n.lean.js
diff --git a/assets/en_api_mp_math_index.md.D331As7i.js b/assets/en_api_mp_math_index.md.BiDCWhuz.js
similarity index 59%
rename from assets/en_api_mp_math_index.md.D331As7i.js
rename to assets/en_api_mp_math_index.md.BiDCWhuz.js
index 2e4bdec..af64238 100644
--- a/assets/en_api_mp_math_index.md.D331As7i.js
+++ b/assets/en_api_mp_math_index.md.BiDCWhuz.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/mp_math/index.md","filePath":"en/api/mp_math/index.md"}'),l={name:"en/api/mp_math/index.md"},o=c('
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：
',3),i=[o];function n(m,s,d,p,r,h){return t(),a("div",null,i)}const u=e(l,[["render",n]]);export{f as __pageData,u as default};
+import{_ as e,c as a,o as t,a4 as l}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/mp_math/index.md","filePath":"en/api/mp_math/index.md"}'),o={name:"en/api/mp_math/index.md"},c=l('
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：
',3),n=[c];function m(i,d,s,p,r,h){return t(),a("div",null,n)}const f=e(o,[["render",m]]);export{u as __pageData,f as default};
diff --git a/assets/en_api_mp_math_index.md.BiDCWhuz.lean.js b/assets/en_api_mp_math_index.md.BiDCWhuz.lean.js
new file mode 100644
index 0000000..8afbe26
--- /dev/null
+++ b/assets/en_api_mp_math_index.md.BiDCWhuz.lean.js
@@ -0,0 +1 @@
+import{_ as e,c as a,o as t,a4 as l}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/mp_math/index.md","filePath":"en/api/mp_math/index.md"}'),o={name:"en/api/mp_math/index.md"},c=l("",3),n=[c];function m(i,d,s,p,r,h){return t(),a("div",null,n)}const f=e(o,[["render",m]]);export{u as __pageData,f as default};
diff --git a/assets/en_api_mp_math_index.md.D331As7i.lean.js b/assets/en_api_mp_math_index.md.D331As7i.lean.js
deleted file mode 100644
index 064b681..0000000
--- a/assets/en_api_mp_math_index.md.D331As7i.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/mp_math/index.md","filePath":"en/api/mp_math/index.md"}'),l={name:"en/api/mp_math/index.md"},o=c("",3),i=[o];function n(m,s,d,p,r,h){return t(),a("div",null,i)}const u=e(l,[["render",n]]);export{f as __pageData,u as default};
diff --git a/assets/en_api_mp_math_line.md.B69kHoPc.js b/assets/en_api_mp_math_line.md.0bBpZMyn.js
similarity index 96%
rename from assets/en_api_mp_math_line.md.B69kHoPc.js
rename to assets/en_api_mp_math_line.md.0bBpZMyn.js
index 0ddc9b7..1fc957d 100644
--- a/assets/en_api_mp_math_line.md.B69kHoPc.js
+++ b/assets/en_api_mp_math_line.md.0bBpZMyn.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),t={name:"en/api/mp_math/line.md"},l=n(`
mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
Description: 三维空间中的直线。由一个点和一个方向向量确定。
Arguments:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
Source code or View on GitHub
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/line.md","filePath":"en/api/mp_math/line.md"}'),t={name:"en/api/mp_math/line.md"},l=n(`
Module mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
Description: 三维空间中的直线。由一个点和一个方向向量确定。
Arguments:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
Source code or View on GitHub
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
diff --git a/assets/en_api_mp_math_line.md.B69kHoPc.lean.js b/assets/en_api_mp_math_line.md.0bBpZMyn.lean.js
similarity index 100%
rename from assets/en_api_mp_math_line.md.B69kHoPc.lean.js
rename to assets/en_api_mp_math_line.md.0bBpZMyn.lean.js
diff --git a/assets/en_api_mp_math_mp_math_typing.md.xRGJGUMm.js b/assets/en_api_mp_math_mp_math_typing.md.A2oAWINP.js
similarity index 95%
rename from assets/en_api_mp_math_mp_math_typing.md.xRGJGUMm.js
rename to assets/en_api_mp_math_mp_math_typing.md.A2oAWINP.js
index a59d1b5..dca0e84 100644
--- a/assets/en_api_mp_math_mp_math_typing.md.xRGJGUMm.js
+++ b/assets/en_api_mp_math_mp_math_typing.md.A2oAWINP.js
@@ -1 +1 @@
-import{_ as a,c as r,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const v=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/mp_math_typing.md","filePath":"en/api/mp_math/mp_math_typing.md"}'),l={name:"en/api/mp_math/mp_math_typing.md"},n=o('
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
',36),t=[n];function i(s,c,p,u,d,g){return e(),r("div",null,t)}const m=a(l,[["render",i]]);export{v as __pageData,m as default};
+import{_ as a,c as r,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const v=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/mp_math_typing.md","filePath":"en/api/mp_math/mp_math_typing.md"}'),l={name:"en/api/mp_math/mp_math_typing.md"},n=o('
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
',36),t=[n];function i(s,c,p,u,d,g){return e(),r("div",null,t)}const m=a(l,[["render",i]]);export{v as __pageData,m as default};
diff --git a/assets/en_api_mp_math_mp_math_typing.md.xRGJGUMm.lean.js b/assets/en_api_mp_math_mp_math_typing.md.A2oAWINP.lean.js
similarity index 100%
rename from assets/en_api_mp_math_mp_math_typing.md.xRGJGUMm.lean.js
rename to assets/en_api_mp_math_mp_math_typing.md.A2oAWINP.lean.js
diff --git a/assets/en_api_mp_math_plane.md.BdKgRumw.js b/assets/en_api_mp_math_plane.md.op2OK8nC.js
similarity index 96%
rename from assets/en_api_mp_math_plane.md.BdKgRumw.js
rename to assets/en_api_mp_math_plane.md.op2OK8nC.js
index 93b9110..55a726d 100644
--- a/assets/en_api_mp_math_plane.md.BdKgRumw.js
+++ b/assets/en_api_mp_math_plane.md.op2OK8nC.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/plane.md","filePath":"en/api/mp_math/plane.md"}'),t={name:"en/api/mp_math/plane.md"},l=n(`
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) ​
Description: 平面方程：ax + by + cz + d = 0
Arguments:
  • a (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
Source code or View on GitHub
python
def __init__(self, a: float, b: float, c: float, d: float):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/plane.md","filePath":"en/api/mp_math/plane.md"}'),l={name:"en/api/mp_math/plane.md"},t=n(`
Module 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) ​
Description: 平面方程：ax + by + cz + d = 0
Arguments:
  • a (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
Source code or View on GitHub
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -203,4 +203,4 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y
             [\`bool\`](https%3A//docs.python.org/3/library/functions.html#bool): 是否等价
         """
     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)
`,113),h=[l];function e(p,k,r,o,d,E){return a(),i("div",null,h)}const c=s(t,[["render",e]]);export{y as __pageData,c as default};
+    return self.cal_intersection_point3(other)
`,113),h=[t];function e(p,k,r,o,d,E){return a(),i("div",null,h)}const c=s(l,[["render",e]]);export{y as __pageData,c as default};
diff --git a/assets/en_api_mp_math_plane.md.BdKgRumw.lean.js b/assets/en_api_mp_math_plane.md.op2OK8nC.lean.js
similarity index 59%
rename from assets/en_api_mp_math_plane.md.BdKgRumw.lean.js
rename to assets/en_api_mp_math_plane.md.op2OK8nC.lean.js
index 16cca30..96be146 100644
--- a/assets/en_api_mp_math_plane.md.BdKgRumw.lean.js
+++ b/assets/en_api_mp_math_plane.md.op2OK8nC.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/plane.md","filePath":"en/api/mp_math/plane.md"}'),t={name:"en/api/mp_math/plane.md"},l=n("",113),h=[l];function e(p,k,r,o,d,E){return a(),i("div",null,h)}const c=s(t,[["render",e]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.mp_math.plane","description":"","frontmatter":{"title":"mbcp.mp_math.plane","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/plane.md","filePath":"en/api/mp_math/plane.md"}'),l={name:"en/api/mp_math/plane.md"},t=n("",113),h=[t];function e(p,k,r,o,d,E){return a(),i("div",null,h)}const c=s(l,[["render",e]]);export{y as __pageData,c as default};
diff --git a/assets/en_api_mp_math_point.md.BeT2oqIN.js b/assets/en_api_mp_math_point.md.Ba_i7dDC.js
similarity index 89%
rename from assets/en_api_mp_math_point.md.BeT2oqIN.js
rename to assets/en_api_mp_math_point.md.Ba_i7dDC.js
index 8e1989e..3c836a3 100644
--- a/assets/en_api_mp_math_point.md.BeT2oqIN.js
+++ b/assets/en_api_mp_math_point.md.Ba_i7dDC.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},e=t(`
mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 笛卡尔坐标系中的点。
Arguments:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},e=t(`
Module mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 笛卡尔坐标系中的点。
Arguments:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -49,4 +49,4 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E
             [\`Vector3\`](./vector#class-vector3): 新的向量
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,39),h=[e];function l(p,o,k,r,d,c){return a(),i("div",null,h)}const y=s(n,[["render",l]]);export{E as __pageData,y as default};
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
`,39),l=[e];function h(p,o,k,r,d,c){return a(),i("div",null,l)}const y=s(n,[["render",h]]);export{E as __pageData,y as default};
diff --git a/assets/en_api_mp_math_point.md.BeT2oqIN.lean.js b/assets/en_api_mp_math_point.md.Ba_i7dDC.lean.js
similarity index 72%
rename from assets/en_api_mp_math_point.md.BeT2oqIN.lean.js
rename to assets/en_api_mp_math_point.md.Ba_i7dDC.lean.js
index de9a344..8047eb5 100644
--- a/assets/en_api_mp_math_point.md.BeT2oqIN.lean.js
+++ b/assets/en_api_mp_math_point.md.Ba_i7dDC.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},e=t("",39),h=[e];function l(p,o,k,r,d,c){return a(),i("div",null,h)}const y=s(n,[["render",l]]);export{E as __pageData,y as default};
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/point.md","filePath":"en/api/mp_math/point.md"}'),n={name:"en/api/mp_math/point.md"},e=t("",39),l=[e];function h(p,o,k,r,d,c){return a(),i("div",null,l)}const y=s(n,[["render",h]]);export{E as __pageData,y as default};
diff --git a/assets/en_api_mp_math_segment.md.DbFvInHk.js b/assets/en_api_mp_math_segment.md.BhIGb9yq.js
similarity index 69%
rename from assets/en_api_mp_math_segment.md.DbFvInHk.js
rename to assets/en_api_mp_math_segment.md.BhIGb9yq.js
index d7bde09..9594a7c 100644
--- a/assets/en_api_mp_math_segment.md.DbFvInHk.js
+++ b/assets/en_api_mp_math_segment.md.BhIGb9yq.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},p=n(`
mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
Description: 三维空间中的线段。
Arguments:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
Source code or View on GitHub
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},p=n(`
Module mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
Description: 三维空间中的线段。
Arguments:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
Source code or View on GitHub
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         Args:
@@ -12,4 +12,4 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F
     '长度'
     self.length = self.direction.length
     '中心点'
-    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,8),h=[p];function e(l,k,r,d,o,E){return a(),i("div",null,h)}const c=s(t,[["render",e]]);export{F as __pageData,c as default};
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,8),h=[p];function e(l,k,r,d,o,E){return a(),i("div",null,h)}const F=s(t,[["render",e]]);export{c as __pageData,F as default};
diff --git a/assets/en_api_mp_math_segment.md.DbFvInHk.lean.js b/assets/en_api_mp_math_segment.md.BhIGb9yq.lean.js
similarity index 67%
rename from assets/en_api_mp_math_segment.md.DbFvInHk.lean.js
rename to assets/en_api_mp_math_segment.md.BhIGb9yq.lean.js
index f54225f..cbf8c29 100644
--- a/assets/en_api_mp_math_segment.md.DbFvInHk.lean.js
+++ b/assets/en_api_mp_math_segment.md.BhIGb9yq.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},p=n("",8),h=[p];function e(l,k,r,d,o,E){return a(),i("div",null,h)}const c=s(t,[["render",e]]);export{F as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/segment.md","filePath":"en/api/mp_math/segment.md"}'),t={name:"en/api/mp_math/segment.md"},p=n("",8),h=[p];function e(l,k,r,d,o,E){return a(),i("div",null,h)}const F=s(t,[["render",e]]);export{c as __pageData,F as default};
diff --git a/assets/en_api_mp_math_utils.md.CYq8hncD.js b/assets/en_api_mp_math_utils.md.Bz-xJhl3.js
similarity index 92%
rename from assets/en_api_mp_math_utils.md.CYq8hncD.js
rename to assets/en_api_mp_math_utils.md.Bz-xJhl3.js
index 0b82404..7f55306 100644
--- a/assets/en_api_mp_math_utils.md.CYq8hncD.js
+++ b/assets/en_api_mp_math_utils.md.Bz-xJhl3.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),n={name:"en/api/mp_math/utils.md"},l=t(`
mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
Description: 区间限定函数
Arguments:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
Return: float: 限定在区间内的值
Source code or View on GitHub
python
def clamp(x: float, min_: float, max_: float) -> float:
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/utils.md","filePath":"en/api/mp_math/utils.md"}'),n={name:"en/api/mp_math/utils.md"},l=t(`
Module mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
Description: 区间限定函数
Arguments:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
Return: float: 限定在区间内的值
Source code or View on GitHub
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
diff --git a/assets/en_api_mp_math_utils.md.CYq8hncD.lean.js b/assets/en_api_mp_math_utils.md.Bz-xJhl3.lean.js
similarity index 100%
rename from assets/en_api_mp_math_utils.md.CYq8hncD.lean.js
rename to assets/en_api_mp_math_utils.md.Bz-xJhl3.lean.js
diff --git a/assets/en_api_mp_math_vector.md.CPGkZzwr.js b/assets/en_api_mp_math_vector.md.DpzqycDg.js
similarity index 97%
rename from assets/en_api_mp_math_vector.md.CPGkZzwr.js
rename to assets/en_api_mp_math_vector.md.DpzqycDg.js
index b314987..14b69fb 100644
--- a/assets/en_api_mp_math_vector.md.CPGkZzwr.js
+++ b/assets/en_api_mp_math_vector.md.DpzqycDg.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/vector.md","filePath":"en/api/mp_math/vector.md"}'),n={name:"en/api/mp_math/vector.md"},e=t(`
mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 3维向量
Arguments:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/vector.md","filePath":"en/api/mp_math/vector.md"}'),n={name:"en/api/mp_math/vector.md"},e=t(`
Module mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 3维向量
Arguments:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
diff --git a/assets/en_api_mp_math_vector.md.CPGkZzwr.lean.js b/assets/en_api_mp_math_vector.md.DpzqycDg.lean.js
similarity index 100%
rename from assets/en_api_mp_math_vector.md.CPGkZzwr.lean.js
rename to assets/en_api_mp_math_vector.md.DpzqycDg.lean.js
diff --git a/assets/en_api_particle_index.md.ZKByd_x0.js b/assets/en_api_particle_index.md.ZKByd_x0.js
deleted file mode 100644
index 6f0cf06..0000000
--- a/assets/en_api_particle_index.md.ZKByd_x0.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as a,c as t,o as c,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/particle/index.md","filePath":"en/api/particle/index.md"}'),i={name:"en/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[r("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),n=e("p",null,"本模块定义了粒子生成相关的工具",-1),s=[p,n];function l(o,d,_,m,h,f){return c(),t("div",null,s)}const u=a(i,[["render",l]]);export{b as __pageData,u as default};
diff --git a/assets/en_api_particle_index.md.ZKByd_x0.lean.js b/assets/en_api_particle_index.md.ZKByd_x0.lean.js
deleted file mode 100644
index 6f0cf06..0000000
--- a/assets/en_api_particle_index.md.ZKByd_x0.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as a,c as t,o as c,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/particle/index.md","filePath":"en/api/particle/index.md"}'),i={name:"en/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[r("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),n=e("p",null,"本模块定义了粒子生成相关的工具",-1),s=[p,n];function l(o,d,_,m,h,f){return c(),t("div",null,s)}const u=a(i,[["render",l]]);export{b as __pageData,u as default};
diff --git a/assets/en_api_particle_index.md.j3_p5KtY.js b/assets/en_api_particle_index.md.j3_p5KtY.js
new file mode 100644
index 0000000..2aac338
--- /dev/null
+++ b/assets/en_api_particle_index.md.j3_p5KtY.js
@@ -0,0 +1 @@
+import{_ as t,c,o as l,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/particle/index.md","filePath":"en/api/particle/index.md"}'),r={name:"en/api/particle/index.md"},i=e("h1",{id:"module-mbcp-particle",tabindex:"-1"},[e("strong",null,"Module"),a(),e("code",null,"mbcp.particle"),a(),e("a",{class:"header-anchor",href:"#module-mbcp-particle","aria-label":'Permalink to "**Module** `mbcp.particle`"'},"​")],-1),o=e("p",null,"本模块定义了粒子生成相关的工具",-1),n=[i,o];function p(s,d,m,_,u,h){return l(),c("div",null,n)}const b=t(r,[["render",p]]);export{x as __pageData,b as default};
diff --git a/assets/en_api_particle_index.md.j3_p5KtY.lean.js b/assets/en_api_particle_index.md.j3_p5KtY.lean.js
new file mode 100644
index 0000000..2aac338
--- /dev/null
+++ b/assets/en_api_particle_index.md.j3_p5KtY.lean.js
@@ -0,0 +1 @@
+import{_ as t,c,o as l,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/particle/index.md","filePath":"en/api/particle/index.md"}'),r={name:"en/api/particle/index.md"},i=e("h1",{id:"module-mbcp-particle",tabindex:"-1"},[e("strong",null,"Module"),a(),e("code",null,"mbcp.particle"),a(),e("a",{class:"header-anchor",href:"#module-mbcp-particle","aria-label":'Permalink to "**Module** `mbcp.particle`"'},"​")],-1),o=e("p",null,"本模块定义了粒子生成相关的工具",-1),n=[i,o];function p(s,d,m,_,u,h){return l(),c("div",null,n)}const b=t(r,[["render",p]]);export{x as __pageData,b as default};
diff --git a/assets/en_api_presets_index.md.BhoZyGSV.js b/assets/en_api_presets_index.md.BhoZyGSV.js
deleted file mode 100644
index 33395a8..0000000
--- a/assets/en_api_presets_index.md.BhoZyGSV.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as t,c as s,o as a,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/presets/index.md","filePath":"en/api/presets/index.md"}'),p={name:"en/api/presets/index.md"},n=e("h1",{id:"mbcp-presets",tabindex:"-1"},[r("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),c=e("p",null,"本模块塞了一些预设",-1),o=[n,c];function d(i,l,_,m,h,f){return a(),s("div",null,o)}const u=t(p,[["render",d]]);export{b as __pageData,u as default};
diff --git a/assets/en_api_presets_index.md.BhoZyGSV.lean.js b/assets/en_api_presets_index.md.BhoZyGSV.lean.js
deleted file mode 100644
index 33395a8..0000000
--- a/assets/en_api_presets_index.md.BhoZyGSV.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as t,c as s,o as a,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/presets/index.md","filePath":"en/api/presets/index.md"}'),p={name:"en/api/presets/index.md"},n=e("h1",{id:"mbcp-presets",tabindex:"-1"},[r("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),c=e("p",null,"本模块塞了一些预设",-1),o=[n,c];function d(i,l,_,m,h,f){return a(),s("div",null,o)}const u=t(p,[["render",d]]);export{b as __pageData,u as default};
diff --git a/assets/en_api_presets_index.md.Bj8HQN_s.js b/assets/en_api_presets_index.md.Bj8HQN_s.js
new file mode 100644
index 0000000..8fbc7bf
--- /dev/null
+++ b/assets/en_api_presets_index.md.Bj8HQN_s.js
@@ -0,0 +1 @@
+import{_ as s,c as a,o as r,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/presets/index.md","filePath":"en/api/presets/index.md"}'),o={name:"en/api/presets/index.md"},n=e("h1",{id:"module-mbcp-presets",tabindex:"-1"},[e("strong",null,"Module"),t(),e("code",null,"mbcp.presets"),t(),e("a",{class:"header-anchor",href:"#module-mbcp-presets","aria-label":'Permalink to "**Module** `mbcp.presets`"'},"​")],-1),p=e("p",null,"本模块塞了一些预设",-1),c=[n,p];function d(l,i,m,_,u,h){return r(),a("div",null,c)}const b=s(o,[["render",d]]);export{x as __pageData,b as default};
diff --git a/assets/en_api_presets_index.md.Bj8HQN_s.lean.js b/assets/en_api_presets_index.md.Bj8HQN_s.lean.js
new file mode 100644
index 0000000..8fbc7bf
--- /dev/null
+++ b/assets/en_api_presets_index.md.Bj8HQN_s.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as a,o as r,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/presets/index.md","filePath":"en/api/presets/index.md"}'),o={name:"en/api/presets/index.md"},n=e("h1",{id:"module-mbcp-presets",tabindex:"-1"},[e("strong",null,"Module"),t(),e("code",null,"mbcp.presets"),t(),e("a",{class:"header-anchor",href:"#module-mbcp-presets","aria-label":'Permalink to "**Module** `mbcp.presets`"'},"​")],-1),p=e("p",null,"本模块塞了一些预设",-1),c=[n,p];function d(l,i,m,_,u,h){return r(),a("div",null,c)}const b=s(o,[["render",d]]);export{x as __pageData,b as default};
diff --git a/assets/en_api_presets_model_index.md.BM4zzWd9.js b/assets/en_api_presets_model_index.md.tRSLY10d.js
similarity index 80%
rename from assets/en_api_presets_model_index.md.BM4zzWd9.js
rename to assets/en_api_presets_model_index.md.tRSLY10d.js
index 6c27e1f..bd865a8 100644
--- a/assets/en_api_presets_model_index.md.BM4zzWd9.js
+++ b/assets/en_api_presets_model_index.md.tRSLY10d.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/presets/model/index.md","filePath":"en/api/presets/model/index.md"}'),t={name:"en/api/presets/model/index.md"},h=n(`
mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
Description: 生成球体上的点集。
Arguments:
  • radius:
  • density:
Return: List[Point3]: 球体上的点集。
Source code or View on GitHub
python
@staticmethod
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"en/api/presets/model/index.md","filePath":"en/api/presets/model/index.md"}'),t={name:"en/api/presets/model/index.md"},h=n(`
Module mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
Description: 生成球体上的点集。
Arguments:
  • radius:
  • density:
Return: List[Point3]: 球体上的点集。
Source code or View on GitHub
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
diff --git a/assets/en_api_presets_model_index.md.BM4zzWd9.lean.js b/assets/en_api_presets_model_index.md.tRSLY10d.lean.js
similarity index 100%
rename from assets/en_api_presets_model_index.md.BM4zzWd9.lean.js
rename to assets/en_api_presets_model_index.md.tRSLY10d.lean.js
diff --git a/assets/ja_api_index.md.6u5f7W7q.js b/assets/ja_api_index.md.6u5f7W7q.js
deleted file mode 100644
index aab2498..0000000
--- a/assets/ja_api_index.md.6u5f7W7q.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/index.md","filePath":"ja/api/index.md"}'),p={name:"ja/api/index.md"},o=c('
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
',5),r=[o];function s(d,_,i,n,m,l){return t(),a("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
diff --git a/assets/ja_api_index.md.CGngNEPX.js b/assets/ja_api_index.md.CGngNEPX.js
new file mode 100644
index 0000000..d038ae5
--- /dev/null
+++ b/assets/ja_api_index.md.CGngNEPX.js
@@ -0,0 +1 @@
+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/index.md","filePath":"ja/api/index.md"}'),p={name:"ja/api/index.md"},o=c('
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
',5),r=[o];function s(d,_,i,n,m,l){return t(),a("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
diff --git a/assets/ja_api_index.md.6u5f7W7q.lean.js b/assets/ja_api_index.md.CGngNEPX.lean.js
similarity index 100%
rename from assets/ja_api_index.md.6u5f7W7q.lean.js
rename to assets/ja_api_index.md.CGngNEPX.lean.js
diff --git a/assets/ja_api_mp_math_angle.md.CbTFNFpP.js b/assets/ja_api_mp_math_angle.md.BPpenAm_.js
similarity index 94%
rename from assets/ja_api_mp_math_angle.md.CbTFNFpP.js
rename to assets/ja_api_mp_math_angle.md.BPpenAm_.js
index 99a3d04..0c9f1f5 100644
--- a/assets/ja_api_mp_math_angle.md.CbTFNFpP.js
+++ b/assets/ja_api_mp_math_angle.md.BPpenAm_.js
@@ -1,4 +1,4 @@
-import{_ as s,c as a,o as i,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/angle.md","filePath":"ja/api/mp_math/angle.md"}'),t={name:"ja/api/mp_math/angle.md"},e=n(`
mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
引数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード または GitHubで表示
python
def __init__(self, value: float, is_radian: bool=False):
+import{_ as s,c as a,o as i,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/angle.md","filePath":"ja/api/mp_math/angle.md"}'),t={name:"ja/api/mp_math/angle.md"},e=n(`
モジュール mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
引数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード または GitHubで表示
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
diff --git a/assets/ja_api_mp_math_angle.md.CbTFNFpP.lean.js b/assets/ja_api_mp_math_angle.md.BPpenAm_.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_angle.md.CbTFNFpP.lean.js
rename to assets/ja_api_mp_math_angle.md.BPpenAm_.lean.js
diff --git a/assets/ja_api_mp_math_const.md.HrVLdLVW.js b/assets/ja_api_mp_math_const.md.HrVLdLVW.js
deleted file mode 100644
index cb8b857..0000000
--- a/assets/ja_api_mp_math_const.md.HrVLdLVW.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/const.md","filePath":"ja/api/mp_math/const.md"}'),r={name:"ja/api/mp_math/const.md"},l=e('
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
',14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const g=a(r,[["render",i]]);export{u as __pageData,g as default};
diff --git a/assets/ja_api_mp_math_const.md.kKAd6ihV.js b/assets/ja_api_mp_math_const.md.kKAd6ihV.js
new file mode 100644
index 0000000..685a679
--- /dev/null
+++ b/assets/ja_api_mp_math_const.md.kKAd6ihV.js
@@ -0,0 +1 @@
+import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const g=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/const.md","filePath":"ja/api/mp_math/const.md"}'),r={name:"ja/api/mp_math/const.md"},l=e('
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
',14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const u=a(r,[["render",i]]);export{g as __pageData,u as default};
diff --git a/assets/ja_api_mp_math_const.md.HrVLdLVW.lean.js b/assets/ja_api_mp_math_const.md.kKAd6ihV.lean.js
similarity index 68%
rename from assets/ja_api_mp_math_const.md.HrVLdLVW.lean.js
rename to assets/ja_api_mp_math_const.md.kKAd6ihV.lean.js
index beb0186..d46344c 100644
--- a/assets/ja_api_mp_math_const.md.HrVLdLVW.lean.js
+++ b/assets/ja_api_mp_math_const.md.kKAd6ihV.lean.js
@@ -1 +1 @@
-import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/const.md","filePath":"ja/api/mp_math/const.md"}'),r={name:"ja/api/mp_math/const.md"},l=e("",14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const g=a(r,[["render",i]]);export{u as __pageData,g as default};
+import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const g=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/const.md","filePath":"ja/api/mp_math/const.md"}'),r={name:"ja/api/mp_math/const.md"},l=e("",14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const u=a(r,[["render",i]]);export{g as __pageData,u as default};
diff --git a/assets/ja_api_mp_math_equation.md.BR_cjYxP.js b/assets/ja_api_mp_math_equation.md.Cxc2AyGq.js
similarity index 89%
rename from assets/ja_api_mp_math_equation.md.BR_cjYxP.js
rename to assets/ja_api_mp_math_equation.md.Cxc2AyGq.js
index 9d98083..dd9dc65 100644
--- a/assets/ja_api_mp_math_equation.md.BR_cjYxP.js
+++ b/assets/ja_api_mp_math_equation.md.Cxc2AyGq.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),t={name:"ja/api/mp_math/equation.md"},l=n(`
mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
ソースコード または GitHubで表示
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),t={name:"ja/api/mp_math/equation.md"},l=n(`
モジュール mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
ソースコード または GitHubで表示
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
diff --git a/assets/ja_api_mp_math_equation.md.BR_cjYxP.lean.js b/assets/ja_api_mp_math_equation.md.Cxc2AyGq.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_equation.md.BR_cjYxP.lean.js
rename to assets/ja_api_mp_math_equation.md.Cxc2AyGq.lean.js
diff --git a/assets/ja_api_mp_math_function.md.CeNPnpri.js b/assets/ja_api_mp_math_function.md.CeNPnpri.js
deleted file mode 100644
index ce036af..0000000
--- a/assets/ja_api_mp_math_function.md.CeNPnpri.js
+++ /dev/null
@@ -1,42 +0,0 @@
-import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/function.md","filePath":"ja/api/mp_math/function.md"}'),e={name:"ja/api/mp_math/function.md"},Q=a('
mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
',4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a('',1),o=[d],k=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,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),u=[c],y=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("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a('',1),_=[f],C=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",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a(`
引数:
戻り値: 梯度
ソースコード または GitHubで表示
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
-    """
-    计算三元函数在某点的梯度向量。
-    > [!tip]
-    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
-    $\\\\nabla f(x_0, y_0, z_0) = \\\\left(\\\\frac{\\\\partial f}{\\\\partial x}, \\\\frac{\\\\partial f}{\\\\partial y}, \\\\frac{\\\\partial f}{\\\\partial z}\\\\right)$
-    Args:
-        func ([\`ThreeSingleVarsFunc\`](./mp_math_typing#var-threesinglevarsfunc)): 三元函数
-        p ([\`Point3\`](./point#class-point3)): 点
-        epsilon: 偏移量
-    Returns:
-        梯度
-    """
-    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
-    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
-    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
-    return Vector3(dx, dy, dz)
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
引数:
戻り値: 柯里化后的函数
例:
python
def add(a: int, b: int, c: int) -> int:
-    return a + b + c
-add_curried = curry(add, 1, 2)
-add_curried(3)  # 6
ソースコード または GitHubで表示
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
-    """
-    对多参数函数进行柯里化。
-    > [!tip]
-    > 有关函数柯里化，可参考[函数式编程--柯理化（Currying）](https://zhuanlan.zhihu.com/p/355859667)
-    Args:
-        func ([\`MultiVarsFunc\`](./mp_math_typing#var-multivarsfunc)): 函数
-        *args ([\`Var\`](./mp_math_typing#var-var)): 参数
-    Returns:
-        柯里化后的函数
-    Examples:
-        \`\`\`python
-        def add(a: int, b: int, c: int) -> int:
-            return a + b + c
-        add_curried = curry(add, 1, 2)
-        add_curried(3)  # 6
-        \`\`\`
-    """
-
-    def curried_func(*args2: Var) -> Var:
-        """@litedoc-hide"""
-        return func(*args, *args2)
-    return curried_func
`,13);function x(b,L,H,M,B,v){return i(),t("div",null,[Q,s("div",T,[h,s("p",null,[n("已知一个函数"),s("mjx-container",p,[(i(),t("svg",r,o)),k]),n("，则其在点"),s("mjx-container",m,[(i(),t("svg",g,u)),y]),n("处的梯度向量为: "),s("mjx-container",E,[(i(),t("svg",F,_)),C])])]),w])}const V=l(e,[["render",x]]);export{Z as __pageData,V as default};
diff --git a/assets/ja_api_mp_math_function.md.zcK7s9-C.js b/assets/ja_api_mp_math_function.md.zcK7s9-C.js
new file mode 100644
index 0000000..72836de
--- /dev/null
+++ b/assets/ja_api_mp_math_function.md.zcK7s9-C.js
@@ -0,0 +1,42 @@
+import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/function.md","filePath":"ja/api/mp_math/function.md"}'),e={name:"ja/api/mp_math/function.md"},Q=a('
モジュール mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
',4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a('',1),o=[d],k=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,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),u=[c],y=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("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a('',1),_=[f],C=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",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a(`
引数:
戻り値: 梯度
ソースコード または GitHubで表示
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    """
+    计算三元函数在某点的梯度向量。
+    > [!tip]
+    > 已知一个函数$f(x, y, z)$，则其在点$(x_0, y_0, z_0)$处的梯度向量为:
+    $\\\\nabla f(x_0, y_0, z_0) = \\\\left(\\\\frac{\\\\partial f}{\\\\partial x}, \\\\frac{\\\\partial f}{\\\\partial y}, \\\\frac{\\\\partial f}{\\\\partial z}\\\\right)$
+    Args:
+        func ([\`ThreeSingleVarsFunc\`](./mp_math_typing#var-threesinglevarsfunc)): 三元函数
+        p ([\`Point3\`](./point#class-point3)): 点
+        epsilon: 偏移量
+    Returns:
+        梯度
+    """
+    dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
+    dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
+    dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
+    return Vector3(dx, dy, dz)
func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
引数:
戻り値: 柯里化后的函数
例:
python
def add(a: int, b: int, c: int) -> int:
+    return a + b + c
+add_curried = curry(add, 1, 2)
+add_curried(3)  # 6
ソースコード または GitHubで表示
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
+    """
+    对多参数函数进行柯里化。
+    > [!tip]
+    > 有关函数柯里化，可参考[函数式编程--柯理化（Currying）](https://zhuanlan.zhihu.com/p/355859667)
+    Args:
+        func ([\`MultiVarsFunc\`](./mp_math_typing#var-multivarsfunc)): 函数
+        *args ([\`Var\`](./mp_math_typing#var-var)): 参数
+    Returns:
+        柯里化后的函数
+    Examples:
+        \`\`\`python
+        def add(a: int, b: int, c: int) -> int:
+            return a + b + c
+        add_curried = curry(add, 1, 2)
+        add_curried(3)  # 6
+        \`\`\`
+    """
+
+    def curried_func(*args2: Var) -> Var:
+        """@litedoc-hide"""
+        return func(*args, *args2)
+    return curried_func
`,13);function x(b,L,H,M,B,v){return i(),t("div",null,[Q,s("div",T,[h,s("p",null,[n("已知一个函数"),s("mjx-container",p,[(i(),t("svg",r,o)),k]),n("，则其在点"),s("mjx-container",m,[(i(),t("svg",g,u)),y]),n("处的梯度向量为: "),s("mjx-container",E,[(i(),t("svg",F,_)),C])])]),w])}const V=l(e,[["render",x]]);export{Z as __pageData,V as default};
diff --git a/assets/ja_api_mp_math_function.md.CeNPnpri.lean.js b/assets/ja_api_mp_math_function.md.zcK7s9-C.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_function.md.CeNPnpri.lean.js
rename to assets/ja_api_mp_math_function.md.zcK7s9-C.lean.js
diff --git a/assets/ja_api_mp_math_index.md.BCReRKfD.js b/assets/ja_api_mp_math_index.md.BCReRKfD.js
new file mode 100644
index 0000000..b283254
--- /dev/null
+++ b/assets/ja_api_mp_math_index.md.BCReRKfD.js
@@ -0,0 +1 @@
+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/mp_math/index.md","filePath":"ja/api/mp_math/index.md"}'),l={name:"ja/api/mp_math/index.md"},o=c('
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：
',3),i=[o];function m(n,s,d,p,r,h){return t(),a("div",null,i)}const u=e(l,[["render",m]]);export{f as __pageData,u as default};
diff --git a/assets/ja_api_mp_math_index.md.BVYYBcgX.lean.js b/assets/ja_api_mp_math_index.md.BCReRKfD.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_index.md.BVYYBcgX.lean.js
rename to assets/ja_api_mp_math_index.md.BCReRKfD.lean.js
diff --git a/assets/ja_api_mp_math_index.md.BVYYBcgX.js b/assets/ja_api_mp_math_index.md.BVYYBcgX.js
deleted file mode 100644
index f911f93..0000000
--- a/assets/ja_api_mp_math_index.md.BVYYBcgX.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/mp_math/index.md","filePath":"ja/api/mp_math/index.md"}'),l={name:"ja/api/mp_math/index.md"},o=c('
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：
',3),i=[o];function m(n,s,d,p,r,h){return t(),a("div",null,i)}const u=e(l,[["render",m]]);export{f as __pageData,u as default};
diff --git a/assets/ja_api_mp_math_line.md.CmVmq6PC.js b/assets/ja_api_mp_math_line.md.BUEG7Qno.js
similarity index 96%
rename from assets/ja_api_mp_math_line.md.CmVmq6PC.js
rename to assets/ja_api_mp_math_line.md.BUEG7Qno.js
index ee042dd..58e0c20 100644
--- a/assets/ja_api_mp_math_line.md.CmVmq6PC.js
+++ b/assets/ja_api_mp_math_line.md.BUEG7Qno.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),t={name:"ja/api/mp_math/line.md"},l=n(`
mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
引数:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
ソースコード または GitHubで表示
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/line.md","filePath":"ja/api/mp_math/line.md"}'),t={name:"ja/api/mp_math/line.md"},l=n(`
モジュール mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
引数:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
ソースコード または GitHubで表示
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
diff --git a/assets/ja_api_mp_math_line.md.CmVmq6PC.lean.js b/assets/ja_api_mp_math_line.md.BUEG7Qno.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_line.md.CmVmq6PC.lean.js
rename to assets/ja_api_mp_math_line.md.BUEG7Qno.lean.js
diff --git a/assets/ja_api_mp_math_mp_math_typing.md.BnSHEEFC.js b/assets/ja_api_mp_math_mp_math_typing.md.BnSHEEFC.js
deleted file mode 100644
index be55956..0000000
--- a/assets/ja_api_mp_math_mp_math_typing.md.BnSHEEFC.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as a,c as r,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const v=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/mp_math_typing.md","filePath":"ja/api/mp_math/mp_math_typing.md"}'),l={name:"ja/api/mp_math/mp_math_typing.md"},n=o('
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
',36),t=[n];function i(s,c,d,p,u,g){return e(),r("div",null,t)}const m=a(l,[["render",i]]);export{v as __pageData,m as default};
diff --git a/assets/ja_api_mp_math_mp_math_typing.md.CzEPV5Ep.js b/assets/ja_api_mp_math_mp_math_typing.md.CzEPV5Ep.js
new file mode 100644
index 0000000..c570ecb
--- /dev/null
+++ b/assets/ja_api_mp_math_mp_math_typing.md.CzEPV5Ep.js
@@ -0,0 +1 @@
+import{_ as a,c as r,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const v=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/mp_math_typing.md","filePath":"ja/api/mp_math/mp_math_typing.md"}'),l={name:"ja/api/mp_math/mp_math_typing.md"},n=o('
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
',36),t=[n];function i(s,c,d,p,u,g){return e(),r("div",null,t)}const m=a(l,[["render",i]]);export{v as __pageData,m as default};
diff --git a/assets/ja_api_mp_math_mp_math_typing.md.BnSHEEFC.lean.js b/assets/ja_api_mp_math_mp_math_typing.md.CzEPV5Ep.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_mp_math_typing.md.BnSHEEFC.lean.js
rename to assets/ja_api_mp_math_mp_math_typing.md.CzEPV5Ep.lean.js
diff --git a/assets/ja_api_mp_math_plane.md.D7v3q_U8.js b/assets/ja_api_mp_math_plane.md.D8ltDTI9.js
similarity index 97%
rename from assets/ja_api_mp_math_plane.md.D7v3q_U8.js
rename to assets/ja_api_mp_math_plane.md.D8ltDTI9.js
index 8bf77b6..b06affe 100644
--- a/assets/ja_api_mp_math_plane.md.D7v3q_U8.js
+++ b/assets/ja_api_mp_math_plane.md.D8ltDTI9.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=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"},t=n(`
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 s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=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"},t=n(`
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):
     """
         平面方程：ax + by + cz + d = 0
         Args:
diff --git a/assets/ja_api_mp_math_plane.md.D7v3q_U8.lean.js b/assets/ja_api_mp_math_plane.md.D8ltDTI9.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_plane.md.D7v3q_U8.lean.js
rename to assets/ja_api_mp_math_plane.md.D8ltDTI9.lean.js
diff --git a/assets/ja_api_mp_math_point.md.BqC8JgjG.js b/assets/ja_api_mp_math_point.md.Bj_wyaCj.js
similarity index 90%
rename from assets/ja_api_mp_math_point.md.BqC8JgjG.js
rename to assets/ja_api_mp_math_point.md.Bj_wyaCj.js
index 81cdef8..51dbbf5 100644
--- a/assets/ja_api_mp_math_point.md.BqC8JgjG.js
+++ b/assets/ja_api_mp_math_point.md.Bj_wyaCj.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/point.md","filePath":"ja/api/mp_math/point.md"}'),n={name:"ja/api/mp_math/point.md"},h=t(`
mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
引数:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/point.md","filePath":"ja/api/mp_math/point.md"}'),n={name:"ja/api/mp_math/point.md"},h=t(`
モジュール mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
引数:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
diff --git a/assets/ja_api_mp_math_point.md.BqC8JgjG.lean.js b/assets/ja_api_mp_math_point.md.Bj_wyaCj.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_point.md.BqC8JgjG.lean.js
rename to assets/ja_api_mp_math_point.md.Bj_wyaCj.lean.js
diff --git a/assets/ja_api_mp_math_segment.md.vi1FH0--.js b/assets/ja_api_mp_math_segment.md.hBKUntDs.js
similarity index 69%
rename from assets/ja_api_mp_math_segment.md.vi1FH0--.js
rename to assets/ja_api_mp_math_segment.md.hBKUntDs.js
index e3af5c0..38632aa 100644
--- a/assets/ja_api_mp_math_segment.md.vi1FH0--.js
+++ b/assets/ja_api_mp_math_segment.md.hBKUntDs.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/segment.md","filePath":"ja/api/mp_math/segment.md"}'),t={name:"ja/api/mp_math/segment.md"},p=n(`
mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。
引数:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
ソースコード または GitHubで表示
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/segment.md","filePath":"ja/api/mp_math/segment.md"}'),t={name:"ja/api/mp_math/segment.md"},p=n(`
モジュール mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。
引数:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
ソースコード または GitHubで表示
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         Args:
@@ -12,4 +12,4 @@ import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F
     '长度'
     self.length = self.direction.length
     '中心点'
-    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,8),h=[p];function l(e,k,r,d,E,o){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,8),h=[p];function l(e,k,r,d,o,E){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};
diff --git a/assets/ja_api_mp_math_segment.md.vi1FH0--.lean.js b/assets/ja_api_mp_math_segment.md.hBKUntDs.lean.js
similarity index 86%
rename from assets/ja_api_mp_math_segment.md.vi1FH0--.lean.js
rename to assets/ja_api_mp_math_segment.md.hBKUntDs.lean.js
index 19cb825..cbe9481 100644
--- a/assets/ja_api_mp_math_segment.md.vi1FH0--.lean.js
+++ b/assets/ja_api_mp_math_segment.md.hBKUntDs.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/segment.md","filePath":"ja/api/mp_math/segment.md"}'),t={name:"ja/api/mp_math/segment.md"},p=n("",8),h=[p];function l(e,k,r,d,E,o){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/segment.md","filePath":"ja/api/mp_math/segment.md"}'),t={name:"ja/api/mp_math/segment.md"},p=n("",8),h=[p];function l(e,k,r,d,o,E){return a(),i("div",null,h)}const c=s(t,[["render",l]]);export{F as __pageData,c as default};
diff --git a/assets/ja_api_mp_math_utils.md.DhPmcvK-.js b/assets/ja_api_mp_math_utils.md.DdrbPY-j.js
similarity index 92%
rename from assets/ja_api_mp_math_utils.md.DhPmcvK-.js
rename to assets/ja_api_mp_math_utils.md.DdrbPY-j.js
index 8e991bf..339fac2 100644
--- a/assets/ja_api_mp_math_utils.md.DhPmcvK-.js
+++ b/assets/ja_api_mp_math_utils.md.DdrbPY-j.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/utils.md","filePath":"ja/api/mp_math/utils.md"}'),n={name:"ja/api/mp_math/utils.md"},l=t(`
mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
引数:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
戻り値: float: 限定在区间内的值
ソースコード または GitHubで表示
python
def clamp(x: float, min_: float, max_: float) -> float:
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/utils.md","filePath":"ja/api/mp_math/utils.md"}'),n={name:"ja/api/mp_math/utils.md"},l=t(`
モジュール mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
引数:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
戻り値: float: 限定在区间内的值
ソースコード または GitHubで表示
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
diff --git a/assets/ja_api_mp_math_utils.md.DhPmcvK-.lean.js b/assets/ja_api_mp_math_utils.md.DdrbPY-j.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_utils.md.DhPmcvK-.lean.js
rename to assets/ja_api_mp_math_utils.md.DdrbPY-j.lean.js
diff --git a/assets/ja_api_mp_math_vector.md.B7oDy-SU.js b/assets/ja_api_mp_math_vector.md.D_iXI2nw.js
similarity index 97%
rename from assets/ja_api_mp_math_vector.md.B7oDy-SU.js
rename to assets/ja_api_mp_math_vector.md.D_iXI2nw.js
index 3c5fd40..f09c44b 100644
--- a/assets/ja_api_mp_math_vector.md.B7oDy-SU.js
+++ b/assets/ja_api_mp_math_vector.md.D_iXI2nw.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/vector.md","filePath":"ja/api/mp_math/vector.md"}'),n={name:"ja/api/mp_math/vector.md"},e=t(`
mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
引数:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/vector.md","filePath":"ja/api/mp_math/vector.md"}'),n={name:"ja/api/mp_math/vector.md"},e=t(`
モジュール mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
引数:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
diff --git a/assets/ja_api_mp_math_vector.md.B7oDy-SU.lean.js b/assets/ja_api_mp_math_vector.md.D_iXI2nw.lean.js
similarity index 100%
rename from assets/ja_api_mp_math_vector.md.B7oDy-SU.lean.js
rename to assets/ja_api_mp_math_vector.md.D_iXI2nw.lean.js
diff --git a/assets/ja_api_particle_index.md.CW1rqarC.js b/assets/ja_api_particle_index.md.CW1rqarC.js
new file mode 100644
index 0000000..08121d7
--- /dev/null
+++ b/assets/ja_api_particle_index.md.CW1rqarC.js
@@ -0,0 +1 @@
+import{_ as t,c,o as r,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/particle/index.md","filePath":"ja/api/particle/index.md"}'),i={name:"ja/api/particle/index.md"},l=e("h1",{id:"モジュール-mbcp-particle",tabindex:"-1"},[e("strong",null,"モジュール"),a(),e("code",null,"mbcp.particle"),a(),e("a",{class:"header-anchor",href:"#モジュール-mbcp-particle","aria-label":'Permalink to "**モジュール** `mbcp.particle`"'},"​")],-1),p=e("p",null,"本模块定义了粒子生成相关的工具",-1),s=[l,p];function n(o,d,_,m,h,f){return r(),c("div",null,s)}const b=t(i,[["render",n]]);export{x as __pageData,b as default};
diff --git a/assets/ja_api_particle_index.md.CW1rqarC.lean.js b/assets/ja_api_particle_index.md.CW1rqarC.lean.js
new file mode 100644
index 0000000..08121d7
--- /dev/null
+++ b/assets/ja_api_particle_index.md.CW1rqarC.lean.js
@@ -0,0 +1 @@
+import{_ as t,c,o as r,j as e,a}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/particle/index.md","filePath":"ja/api/particle/index.md"}'),i={name:"ja/api/particle/index.md"},l=e("h1",{id:"モジュール-mbcp-particle",tabindex:"-1"},[e("strong",null,"モジュール"),a(),e("code",null,"mbcp.particle"),a(),e("a",{class:"header-anchor",href:"#モジュール-mbcp-particle","aria-label":'Permalink to "**モジュール** `mbcp.particle`"'},"​")],-1),p=e("p",null,"本模块定义了粒子生成相关的工具",-1),s=[l,p];function n(o,d,_,m,h,f){return r(),c("div",null,s)}const b=t(i,[["render",n]]);export{x as __pageData,b as default};
diff --git a/assets/ja_api_particle_index.md.ighey3JD.js b/assets/ja_api_particle_index.md.ighey3JD.js
deleted file mode 100644
index 73a8a75..0000000
--- a/assets/ja_api_particle_index.md.ighey3JD.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as a,c as t,o as c,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/particle/index.md","filePath":"ja/api/particle/index.md"}'),i={name:"ja/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[r("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),s=e("p",null,"本模块定义了粒子生成相关的工具",-1),l=[p,s];function o(n,d,_,m,h,f){return c(),t("div",null,l)}const u=a(i,[["render",o]]);export{b as __pageData,u as default};
diff --git a/assets/ja_api_particle_index.md.ighey3JD.lean.js b/assets/ja_api_particle_index.md.ighey3JD.lean.js
deleted file mode 100644
index 73a8a75..0000000
--- a/assets/ja_api_particle_index.md.ighey3JD.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as a,c as t,o as c,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/particle/index.md","filePath":"ja/api/particle/index.md"}'),i={name:"ja/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[r("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),s=e("p",null,"本模块定义了粒子生成相关的工具",-1),l=[p,s];function o(n,d,_,m,h,f){return c(),t("div",null,l)}const u=a(i,[["render",o]]);export{b as __pageData,u as default};
diff --git a/assets/ja_api_presets_index.md.BFc_PfJb.js b/assets/ja_api_presets_index.md.BFc_PfJb.js
new file mode 100644
index 0000000..03870e0
--- /dev/null
+++ b/assets/ja_api_presets_index.md.BFc_PfJb.js
@@ -0,0 +1 @@
+import{_ as s,c as a,o as r,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/presets/index.md","filePath":"ja/api/presets/index.md"}'),p={name:"ja/api/presets/index.md"},c=e("h1",{id:"モジュール-mbcp-presets",tabindex:"-1"},[e("strong",null,"モジュール"),t(),e("code",null,"mbcp.presets"),t(),e("a",{class:"header-anchor",href:"#モジュール-mbcp-presets","aria-label":'Permalink to "**モジュール** `mbcp.presets`"'},"​")],-1),n=e("p",null,"本模块塞了一些预设",-1),o=[c,n];function d(i,l,_,m,h,f){return r(),a("div",null,o)}const b=s(p,[["render",d]]);export{x as __pageData,b as default};
diff --git a/assets/ja_api_presets_index.md.BFc_PfJb.lean.js b/assets/ja_api_presets_index.md.BFc_PfJb.lean.js
new file mode 100644
index 0000000..03870e0
--- /dev/null
+++ b/assets/ja_api_presets_index.md.BFc_PfJb.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as a,o as r,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/presets/index.md","filePath":"ja/api/presets/index.md"}'),p={name:"ja/api/presets/index.md"},c=e("h1",{id:"モジュール-mbcp-presets",tabindex:"-1"},[e("strong",null,"モジュール"),t(),e("code",null,"mbcp.presets"),t(),e("a",{class:"header-anchor",href:"#モジュール-mbcp-presets","aria-label":'Permalink to "**モジュール** `mbcp.presets`"'},"​")],-1),n=e("p",null,"本模块塞了一些预设",-1),o=[c,n];function d(i,l,_,m,h,f){return r(),a("div",null,o)}const b=s(p,[["render",d]]);export{x as __pageData,b as default};
diff --git a/assets/ja_api_presets_index.md.Bow22HNO.js b/assets/ja_api_presets_index.md.Bow22HNO.js
deleted file mode 100644
index 4f75828..0000000
--- a/assets/ja_api_presets_index.md.Bow22HNO.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as t,c as s,o as a,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/presets/index.md","filePath":"ja/api/presets/index.md"}'),p={name:"ja/api/presets/index.md"},c=e("h1",{id:"mbcp-presets",tabindex:"-1"},[r("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),o=e("p",null,"本模块塞了一些预设",-1),n=[c,o];function d(i,l,_,m,h,f){return a(),s("div",null,n)}const u=t(p,[["render",d]]);export{b as __pageData,u as default};
diff --git a/assets/ja_api_presets_index.md.Bow22HNO.lean.js b/assets/ja_api_presets_index.md.Bow22HNO.lean.js
deleted file mode 100644
index 4f75828..0000000
--- a/assets/ja_api_presets_index.md.Bow22HNO.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as t,c as s,o as a,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/presets/index.md","filePath":"ja/api/presets/index.md"}'),p={name:"ja/api/presets/index.md"},c=e("h1",{id:"mbcp-presets",tabindex:"-1"},[r("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),o=e("p",null,"本模块塞了一些预设",-1),n=[c,o];function d(i,l,_,m,h,f){return a(),s("div",null,n)}const u=t(p,[["render",d]]);export{b as __pageData,u as default};
diff --git a/assets/ja_api_presets_model_index.md.C-uCqjXi.js b/assets/ja_api_presets_model_index.md.BqEjZ7IY.js
similarity index 78%
rename from assets/ja_api_presets_model_index.md.C-uCqjXi.js
rename to assets/ja_api_presets_model_index.md.BqEjZ7IY.js
index 29454a9..b0f63d2 100644
--- a/assets/ja_api_presets_model_index.md.C-uCqjXi.js
+++ b/assets/ja_api_presets_model_index.md.BqEjZ7IY.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/presets/model/index.md","filePath":"ja/api/presets/model/index.md"}'),n={name:"ja/api/presets/model/index.md"},h=t(`
mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
引数:
  • radius:
  • density:
戻り値: List[Point3]: 球体上的点集。
ソースコード または GitHubで表示
python
@staticmethod
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/presets/model/index.md","filePath":"ja/api/presets/model/index.md"}'),n={name:"ja/api/presets/model/index.md"},h=t(`
モジュール mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
引数:
  • radius:
  • density:
戻り値: List[Point3]: 球体上的点集。
ソースコード または GitHubで表示
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -15,4 +15,4 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
`,10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
`,10),l=[h];function p(e,k,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
diff --git a/assets/ja_api_presets_model_index.md.C-uCqjXi.lean.js b/assets/ja_api_presets_model_index.md.BqEjZ7IY.lean.js
similarity index 87%
rename from assets/ja_api_presets_model_index.md.C-uCqjXi.lean.js
rename to assets/ja_api_presets_model_index.md.BqEjZ7IY.lean.js
index 0301c86..8d2ea37 100644
--- a/assets/ja_api_presets_model_index.md.C-uCqjXi.lean.js
+++ b/assets/ja_api_presets_model_index.md.BqEjZ7IY.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/presets/model/index.md","filePath":"ja/api/presets/model/index.md"}'),n={name:"ja/api/presets/model/index.md"},h=t("",10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"ja/api/presets/model/index.md","filePath":"ja/api/presets/model/index.md"}'),n={name:"ja/api/presets/model/index.md"},h=t("",10),l=[h];function p(e,k,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
diff --git a/assets/style.Bh0M9mVm.css b/assets/style.Bh0M9mVm.css
deleted file mode 100644
index 2527c8f..0000000
--- a/assets/style.Bh0M9mVm.css
+++ /dev/null
@@ -1 +0,0 @@
-: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: #946300;--vp-c-yellow-3: #9f6a00;--vp-c-yellow-soft: rgba(234, 179, 8, .14);--vp-c-red-1: #b8272c;--vp-c-red-2: #d5393e;--vp-c-red-3: #e0575b;--vp-c-red-soft: rgba(244, 63, 94, .14);--vp-c-sponsor: #db2777}.dark{--vp-c-gray-1: #515c67;--vp-c-gray-2: #414853;--vp-c-gray-3: #32363f;--vp-c-gray-soft: rgba(101, 117, 133, .16);--vp-c-indigo-1: #a8b1ff;--vp-c-indigo-2: #5c73e7;--vp-c-indigo-3: #3e63dd;--vp-c-indigo-soft: rgba(100, 108, 255, .16);--vp-c-purple-1: #c8abfa;--vp-c-purple-2: #a879e6;--vp-c-purple-3: #8e5cd9;--vp-c-purple-soft: rgba(159, 122, 234, .16);--vp-c-green-1: #3dd68c;--vp-c-green-2: #30a46c;--vp-c-green-3: #298459;--vp-c-green-soft: rgba(16, 185, 129, .16);--vp-c-yellow-1: #f9b44e;--vp-c-yellow-2: #da8b17;--vp-c-yellow-3: #a46a0a;--vp-c-yellow-soft: rgba(234, 179, 8, .16);--vp-c-red-1: #f66f81;--vp-c-red-2: #f14158;--vp-c-red-3: #b62a3c;--vp-c-red-soft: rgba(244, 63, 94, .16)}:root{--vp-c-bg: #ffffff;--vp-c-bg-alt: #f6f6f7;--vp-c-bg-elv: #ffffff;--vp-c-bg-soft: #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: 50;--vp-z-index-sidebar: 60}@media (min-width: 960px){:root{--vp-z-index-sidebar: 25}}:root{--vp-layout-max-width: 1440px}:root{--vp-header-anchor-symbol: "#"}:root{--vp-code-line-height: 1.7;--vp-code-font-size: .875em;--vp-code-color: var(--vp-c-brand-1);--vp-code-link-color: var(--vp-c-brand-1);--vp-code-link-hover-color: var(--vp-c-brand-2);--vp-code-bg: var(--vp-c-default-soft);--vp-code-block-color: var(--vp-c-text-2);--vp-code-block-bg: var(--vp-c-bg-alt);--vp-code-block-divider-color: var(--vp-c-gutter);--vp-code-lang-color: var(--vp-c-text-3);--vp-code-line-highlight-color: var(--vp-c-default-soft);--vp-code-line-number-color: var(--vp-c-text-3);--vp-code-line-diff-add-color: var(--vp-c-success-soft);--vp-code-line-diff-add-symbol-color: var(--vp-c-success-1);--vp-code-line-diff-remove-color: var(--vp-c-danger-soft);--vp-code-line-diff-remove-symbol-color: var(--vp-c-danger-1);--vp-code-line-warning-color: var(--vp-c-warning-soft);--vp-code-line-error-color: var(--vp-c-danger-soft);--vp-code-copy-code-border-color: var(--vp-c-divider);--vp-code-copy-code-bg: var(--vp-c-bg-soft);--vp-code-copy-code-hover-border-color: var(--vp-c-divider);--vp-code-copy-code-hover-bg: var(--vp-c-bg);--vp-code-copy-code-active-text: var(--vp-c-text-2);--vp-code-copy-copied-text-content: "Copied";--vp-code-tab-divider: var(--vp-code-block-divider-color);--vp-code-tab-text-color: var(--vp-c-text-2);--vp-code-tab-bg: var(--vp-code-block-bg);--vp-code-tab-hover-text-color: var(--vp-c-text-1);--vp-code-tab-active-text-color: var(--vp-c-text-1);--vp-code-tab-active-bar-color: var(--vp-c-brand-1)}:root{--vp-button-brand-border: transparent;--vp-button-brand-text: var(--vp-c-white);--vp-button-brand-bg: var(--vp-c-brand-3);--vp-button-brand-hover-border: transparent;--vp-button-brand-hover-text: var(--vp-c-white);--vp-button-brand-hover-bg: var(--vp-c-brand-2);--vp-button-brand-active-border: transparent;--vp-button-brand-active-text: var(--vp-c-white);--vp-button-brand-active-bg: var(--vp-c-brand-1);--vp-button-alt-border: transparent;--vp-button-alt-text: var(--vp-c-text-1);--vp-button-alt-bg: var(--vp-c-default-3);--vp-button-alt-hover-border: transparent;--vp-button-alt-hover-text: var(--vp-c-text-1);--vp-button-alt-hover-bg: var(--vp-c-default-2);--vp-button-alt-active-border: transparent;--vp-button-alt-active-text: var(--vp-c-text-1);--vp-button-alt-active-bg: var(--vp-c-default-1);--vp-button-sponsor-border: var(--vp-c-text-2);--vp-button-sponsor-text: var(--vp-c-text-2);--vp-button-sponsor-bg: transparent;--vp-button-sponsor-hover-border: var(--vp-c-sponsor);--vp-button-sponsor-hover-text: var(--vp-c-sponsor);--vp-button-sponsor-hover-bg: transparent;--vp-button-sponsor-active-border: var(--vp-c-sponsor);--vp-button-sponsor-active-text: var(--vp-c-sponsor);--vp-button-sponsor-active-bg: transparent}:root{--vp-custom-block-font-size: 14px;--vp-custom-block-code-font-size: 13px;--vp-custom-block-info-border: transparent;--vp-custom-block-info-text: var(--vp-c-text-1);--vp-custom-block-info-bg: var(--vp-c-default-soft);--vp-custom-block-info-code-bg: var(--vp-c-default-soft);--vp-custom-block-note-border: transparent;--vp-custom-block-note-text: var(--vp-c-text-1);--vp-custom-block-note-bg: var(--vp-c-default-soft);--vp-custom-block-note-code-bg: var(--vp-c-default-soft);--vp-custom-block-tip-border: transparent;--vp-custom-block-tip-text: var(--vp-c-text-1);--vp-custom-block-tip-bg: var(--vp-c-tip-soft);--vp-custom-block-tip-code-bg: var(--vp-c-tip-soft);--vp-custom-block-important-border: transparent;--vp-custom-block-important-text: var(--vp-c-text-1);--vp-custom-block-important-bg: var(--vp-c-important-soft);--vp-custom-block-important-code-bg: var(--vp-c-important-soft);--vp-custom-block-warning-border: transparent;--vp-custom-block-warning-text: var(--vp-c-text-1);--vp-custom-block-warning-bg: var(--vp-c-warning-soft);--vp-custom-block-warning-code-bg: var(--vp-c-warning-soft);--vp-custom-block-danger-border: transparent;--vp-custom-block-danger-text: var(--vp-c-text-1);--vp-custom-block-danger-bg: var(--vp-c-danger-soft);--vp-custom-block-danger-code-bg: var(--vp-c-danger-soft);--vp-custom-block-caution-border: transparent;--vp-custom-block-caution-text: var(--vp-c-text-1);--vp-custom-block-caution-bg: var(--vp-c-caution-soft);--vp-custom-block-caution-code-bg: var(--vp-c-caution-soft);--vp-custom-block-details-border: var(--vp-custom-block-info-border);--vp-custom-block-details-text: var(--vp-custom-block-info-text);--vp-custom-block-details-bg: var(--vp-custom-block-info-bg);--vp-custom-block-details-code-bg: var(--vp-custom-block-info-code-bg)}:root{--vp-input-border-color: var(--vp-c-border);--vp-input-bg-color: var(--vp-c-bg-alt);--vp-input-switch-bg-color: var(--vp-c-default-soft)}:root{--vp-nav-height: 64px;--vp-nav-bg-color: var(--vp-c-bg);--vp-nav-screen-bg-color: var(--vp-c-bg);--vp-nav-logo-height: 24px}.hide-nav{--vp-nav-height: 0px}.hide-nav .VPSidebar{--vp-nav-height: 22px}:root{--vp-local-nav-bg-color: var(--vp-c-bg)}:root{--vp-sidebar-width: 272px;--vp-sidebar-bg-color: var(--vp-c-bg-alt)}:root{--vp-backdrop-bg-color: rgba(0, 0, 0, .6)}:root{--vp-home-hero-name-color: var(--vp-c-brand-1);--vp-home-hero-name-background: transparent;--vp-home-hero-image-background-image: none;--vp-home-hero-image-filter: none}:root{--vp-badge-info-border: transparent;--vp-badge-info-text: var(--vp-c-text-2);--vp-badge-info-bg: var(--vp-c-default-soft);--vp-badge-tip-border: transparent;--vp-badge-tip-text: var(--vp-c-tip-1);--vp-badge-tip-bg: var(--vp-c-tip-soft);--vp-badge-warning-border: transparent;--vp-badge-warning-text: var(--vp-c-warning-1);--vp-badge-warning-bg: var(--vp-c-warning-soft);--vp-badge-danger-border: transparent;--vp-badge-danger-text: var(--vp-c-danger-1);--vp-badge-danger-bg: var(--vp-c-danger-soft)}:root{--vp-carbon-ads-text-color: var(--vp-c-text-1);--vp-carbon-ads-poweredby-color: var(--vp-c-text-2);--vp-carbon-ads-bg-color: var(--vp-c-bg-soft);--vp-carbon-ads-hover-text-color: var(--vp-c-brand-1);--vp-carbon-ads-hover-poweredby-color: var(--vp-c-text-1)}:root{--vp-local-search-bg: var(--vp-c-bg);--vp-local-search-result-bg: var(--vp-c-bg);--vp-local-search-result-border: var(--vp-c-divider);--vp-local-search-result-selected-bg: var(--vp-c-bg);--vp-local-search-result-selected-border: var(--vp-c-brand-1);--vp-local-search-highlight-bg: var(--vp-c-brand-1);--vp-local-search-highlight-text: var(--vp-c-neutral-inverse)}@media (prefers-reduced-motion: reduce){*,:before,:after{animation-delay:-1ms!important;animation-duration:1ms!important;animation-iteration-count:1!important;background-attachment:initial!important;scroll-behavior:auto!important;transition-duration:0s!important;transition-delay:0s!important}}*,:before,:after{box-sizing:border-box}html{line-height:1.4;font-size:16px;-webkit-text-size-adjust:100%}html.dark{color-scheme:dark}body{margin:0;width:100%;min-width:320px;min-height:100vh;line-height:24px;font-family:var(--vp-font-family-base);font-size:16px;font-weight:400;color:var(--vp-c-text-1);background-color:var(--vp-c-bg);font-synthesis:style;text-rendering:optimizeLegibility;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}main{display:block}h1,h2,h3,h4,h5,h6{margin:0;line-height:24px;font-size:16px;font-weight:400}p{margin:0}strong,b{font-weight:600}a,area,button,[role=button],input,label,select,summary,textarea{touch-action:manipulation}a{color:inherit;text-decoration:inherit}ol,ul{list-style:none;margin:0;padding:0}blockquote{margin:0}pre,code,kbd,samp{font-family:var(--vp-font-family-mono)}img,svg,video,canvas,audio,iframe,embed,object{display:block}figure{margin:0}img,video{max-width:100%;height:auto}button,input,optgroup,select,textarea{border:0;padding:0;line-height:inherit;color:inherit}button{padding:0;font-family:inherit;background-color:transparent;background-image:none}button:enabled,[role=button]:enabled{cursor:pointer}button:focus,button:focus-visible{outline:1px dotted;outline:4px auto -webkit-focus-ring-color}button:focus:not(:focus-visible){outline:none!important}input:focus,textarea:focus,select:focus{outline:none}table{border-collapse:collapse}input{background-color:transparent}input:-ms-input-placeholder,textarea:-ms-input-placeholder{color:var(--vp-c-text-3)}input::-ms-input-placeholder,textarea::-ms-input-placeholder{color:var(--vp-c-text-3)}input::placeholder,textarea::placeholder{color:var(--vp-c-text-3)}input::-webkit-outer-spin-button,input::-webkit-inner-spin-button{-webkit-appearance:none;margin:0}input[type=number]{-moz-appearance:textfield}textarea{resize:vertical}select{-webkit-appearance:none}fieldset{margin:0;padding:0}h1,h2,h3,h4,h5,h6,li,p{overflow-wrap:break-word}vite-error-overlay{z-index:9999}mjx-container{overflow-x:auto}mjx-container>svg{display:inline-block;margin:auto}[class^=vpi-],[class*=" vpi-"],.vp-icon{width:1em;height:1em}[class^=vpi-].bg,[class*=" vpi-"].bg,.vp-icon.bg{background-size:100% 100%;background-color:transparent}[class^=vpi-]:not(.bg),[class*=" vpi-"]:not(.bg),.vp-icon:not(.bg){-webkit-mask:var(--icon) no-repeat;mask:var(--icon) no-repeat;-webkit-mask-size:100% 100%;mask-size:100% 100%;background-color:currentColor;color:inherit}.vpi-align-left{--icon: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' fill='none' stroke='currentColor' stroke-linecap='round' stroke-linejoin='round' stroke-width='2' viewBox='0 0 24 24'%3E%3Cpath d='M21 6H3M15 12H3M17 18H3'/%3E%3C/svg%3E")}.vpi-arrow-right,.vpi-arrow-down,.vpi-arrow-left,.vpi-arrow-up{--icon: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' fill='none' stroke='currentColor' stroke-linecap='round' stroke-linejoin='round' stroke-width='2' viewBox='0 0 24 24'%3E%3Cpath d='M5 12h14M12 5l7 7-7 7'/%3E%3C/svg%3E")}.vpi-chevron-right,.vpi-chevron-down,.vpi-chevron-left,.vpi-chevron-up{--icon: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' fill='none' 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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: 50;--vp-z-index-sidebar: 60}@media (min-width: 960px){:root{--vp-z-index-sidebar: 25}}:root{--vp-layout-max-width: 1440px}:root{--vp-header-anchor-symbol: "#"}:root{--vp-code-line-height: 1.7;--vp-code-font-size: .875em;--vp-code-color: var(--vp-c-brand-1);--vp-code-link-color: var(--vp-c-brand-1);--vp-code-link-hover-color: var(--vp-c-brand-2);--vp-code-bg: var(--vp-c-default-soft);--vp-code-block-color: var(--vp-c-text-2);--vp-code-block-bg: var(--vp-c-bg-alt);--vp-code-block-divider-color: var(--vp-c-gutter);--vp-code-lang-color: var(--vp-c-text-3);--vp-code-line-highlight-color: var(--vp-c-default-soft);--vp-code-line-number-color: var(--vp-c-text-3);--vp-code-line-diff-add-color: var(--vp-c-success-soft);--vp-code-line-diff-add-symbol-color: var(--vp-c-success-1);--vp-code-line-diff-remove-color: var(--vp-c-danger-soft);--vp-code-line-diff-remove-symbol-color: var(--vp-c-danger-1);--vp-code-line-warning-color: var(--vp-c-warning-soft);--vp-code-line-error-color: var(--vp-c-danger-soft);--vp-code-copy-code-border-color: var(--vp-c-divider);--vp-code-copy-code-bg: var(--vp-c-bg-soft);--vp-code-copy-code-hover-border-color: var(--vp-c-divider);--vp-code-copy-code-hover-bg: var(--vp-c-bg);--vp-code-copy-code-active-text: var(--vp-c-text-2);--vp-code-copy-copied-text-content: "Copied";--vp-code-tab-divider: var(--vp-code-block-divider-color);--vp-code-tab-text-color: var(--vp-c-text-2);--vp-code-tab-bg: var(--vp-code-block-bg);--vp-code-tab-hover-text-color: var(--vp-c-text-1);--vp-code-tab-active-text-color: var(--vp-c-text-1);--vp-code-tab-active-bar-color: var(--vp-c-brand-1)}:root{--vp-button-brand-border: transparent;--vp-button-brand-text: var(--vp-c-white);--vp-button-brand-bg: var(--vp-c-brand-3);--vp-button-brand-hover-border: transparent;--vp-button-brand-hover-text: var(--vp-c-white);--vp-button-brand-hover-bg: var(--vp-c-brand-2);--vp-button-brand-active-border: transparent;--vp-button-brand-active-text: var(--vp-c-white);--vp-button-brand-active-bg: var(--vp-c-brand-1);--vp-button-alt-border: transparent;--vp-button-alt-text: var(--vp-c-text-1);--vp-button-alt-bg: var(--vp-c-default-3);--vp-button-alt-hover-border: transparent;--vp-button-alt-hover-text: var(--vp-c-text-1);--vp-button-alt-hover-bg: var(--vp-c-default-2);--vp-button-alt-active-border: transparent;--vp-button-alt-active-text: var(--vp-c-text-1);--vp-button-alt-active-bg: var(--vp-c-default-1);--vp-button-sponsor-border: var(--vp-c-text-2);--vp-button-sponsor-text: var(--vp-c-text-2);--vp-button-sponsor-bg: transparent;--vp-button-sponsor-hover-border: var(--vp-c-sponsor);--vp-button-sponsor-hover-text: var(--vp-c-sponsor);--vp-button-sponsor-hover-bg: transparent;--vp-button-sponsor-active-border: var(--vp-c-sponsor);--vp-button-sponsor-active-text: var(--vp-c-sponsor);--vp-button-sponsor-active-bg: transparent}:root{--vp-custom-block-font-size: 14px;--vp-custom-block-code-font-size: 13px;--vp-custom-block-info-border: transparent;--vp-custom-block-info-text: var(--vp-c-text-1);--vp-custom-block-info-bg: var(--vp-c-default-soft);--vp-custom-block-info-code-bg: var(--vp-c-default-soft);--vp-custom-block-note-border: transparent;--vp-custom-block-note-text: var(--vp-c-text-1);--vp-custom-block-note-bg: var(--vp-c-default-soft);--vp-custom-block-note-code-bg: var(--vp-c-default-soft);--vp-custom-block-tip-border: transparent;--vp-custom-block-tip-text: var(--vp-c-text-1);--vp-custom-block-tip-bg: var(--vp-c-tip-soft);--vp-custom-block-tip-code-bg: var(--vp-c-tip-soft);--vp-custom-block-important-border: transparent;--vp-custom-block-important-text: var(--vp-c-text-1);--vp-custom-block-important-bg: var(--vp-c-important-soft);--vp-custom-block-important-code-bg: var(--vp-c-important-soft);--vp-custom-block-warning-border: transparent;--vp-custom-block-warning-text: var(--vp-c-text-1);--vp-custom-block-warning-bg: var(--vp-c-warning-soft);--vp-custom-block-warning-code-bg: var(--vp-c-warning-soft);--vp-custom-block-danger-border: transparent;--vp-custom-block-danger-text: var(--vp-c-text-1);--vp-custom-block-danger-bg: var(--vp-c-danger-soft);--vp-custom-block-danger-code-bg: var(--vp-c-danger-soft);--vp-custom-block-caution-border: transparent;--vp-custom-block-caution-text: var(--vp-c-text-1);--vp-custom-block-caution-bg: var(--vp-c-caution-soft);--vp-custom-block-caution-code-bg: var(--vp-c-caution-soft);--vp-custom-block-details-border: var(--vp-custom-block-info-border);--vp-custom-block-details-text: var(--vp-custom-block-info-text);--vp-custom-block-details-bg: var(--vp-custom-block-info-bg);--vp-custom-block-details-code-bg: var(--vp-custom-block-info-code-bg)}:root{--vp-input-border-color: var(--vp-c-border);--vp-input-bg-color: var(--vp-c-bg-alt);--vp-input-switch-bg-color: var(--vp-c-default-soft)}:root{--vp-nav-height: 64px;--vp-nav-bg-color: var(--vp-c-bg);--vp-nav-screen-bg-color: var(--vp-c-bg);--vp-nav-logo-height: 24px}.hide-nav{--vp-nav-height: 0px}.hide-nav .VPSidebar{--vp-nav-height: 22px}:root{--vp-local-nav-bg-color: var(--vp-c-bg)}:root{--vp-sidebar-width: 272px;--vp-sidebar-bg-color: var(--vp-c-bg-alt)}:root{--vp-backdrop-bg-color: rgba(0, 0, 0, .6)}:root{--vp-home-hero-name-color: var(--vp-c-brand-1);--vp-home-hero-name-background: transparent;--vp-home-hero-image-background-image: none;--vp-home-hero-image-filter: none}:root{--vp-badge-info-border: transparent;--vp-badge-info-text: var(--vp-c-text-2);--vp-badge-info-bg: var(--vp-c-default-soft);--vp-badge-tip-border: transparent;--vp-badge-tip-text: var(--vp-c-tip-1);--vp-badge-tip-bg: var(--vp-c-tip-soft);--vp-badge-warning-border: transparent;--vp-badge-warning-text: var(--vp-c-warning-1);--vp-badge-warning-bg: var(--vp-c-warning-soft);--vp-badge-danger-border: transparent;--vp-badge-danger-text: var(--vp-c-danger-1);--vp-badge-danger-bg: var(--vp-c-danger-soft)}:root{--vp-carbon-ads-text-color: 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diff --git a/assets/zht_api_index.md.DMjE1xBr.js b/assets/zht_api_index.md.Bh7ICG6U.js
similarity index 57%
rename from assets/zht_api_index.md.DMjE1xBr.js
rename to assets/zht_api_index.md.Bh7ICG6U.js
index 7c72da9..fab4d6d 100644
--- a/assets/zht_api_index.md.DMjE1xBr.js
+++ b/assets/zht_api_index.md.Bh7ICG6U.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/index.md","filePath":"zht/api/index.md"}'),p={name:"zht/api/index.md"},o=c('
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
',5),r=[o];function s(d,_,i,n,m,l){return t(),a("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
+import{_ as e,c as t,o as a,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/index.md","filePath":"zht/api/index.md"}'),p={name:"zht/api/index.md"},o=c('
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
',5),r=[o];function s(d,_,i,n,m,l){return a(),t("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
diff --git a/assets/zht_api_index.md.DMjE1xBr.lean.js b/assets/zht_api_index.md.Bh7ICG6U.lean.js
similarity index 70%
rename from assets/zht_api_index.md.DMjE1xBr.lean.js
rename to assets/zht_api_index.md.Bh7ICG6U.lean.js
index 7027d4c..2c1fc39 100644
--- a/assets/zht_api_index.md.DMjE1xBr.lean.js
+++ b/assets/zht_api_index.md.Bh7ICG6U.lean.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/index.md","filePath":"zht/api/index.md"}'),p={name:"zht/api/index.md"},o=c("",5),r=[o];function s(d,_,i,n,m,l){return t(),a("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
+import{_ as e,c as t,o as a,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp","description":"","frontmatter":{"title":"mbcp","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/index.md","filePath":"zht/api/index.md"}'),p={name:"zht/api/index.md"},o=c("",5),r=[o];function s(d,_,i,n,m,l){return a(),t("div",null,r)}const b=e(p,[["render",s]]);export{f as __pageData,b as default};
diff --git a/assets/zht_api_mp_math_angle.md.D6i--7zd.js b/assets/zht_api_mp_math_angle.md.mmecNIJM.js
similarity index 94%
rename from assets/zht_api_mp_math_angle.md.D6i--7zd.js
rename to assets/zht_api_mp_math_angle.md.mmecNIJM.js
index eb8e529..51d85ef 100644
--- a/assets/zht_api_mp_math_angle.md.D6i--7zd.js
+++ b/assets/zht_api_mp_math_angle.md.mmecNIJM.js
@@ -1,4 +1,4 @@
-import{_ as s,c as a,o as i,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/angle.md","filePath":"zht/api/mp_math/angle.md"}'),t={name:"zht/api/mp_math/angle.md"},e=n(`
mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
變數説明:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼 或 於GitHub上查看
python
def __init__(self, value: float, is_radian: bool=False):
+import{_ as s,c as a,o as i,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const c=JSON.parse('{"title":"mbcp.mp_math.angle","description":"","frontmatter":{"title":"mbcp.mp_math.angle","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/angle.md","filePath":"zht/api/mp_math/angle.md"}'),t={name:"zht/api/mp_math/angle.md"},e=n(`
模組 mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
變數説明:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼 或 於GitHub上查看
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
diff --git a/assets/zht_api_mp_math_angle.md.D6i--7zd.lean.js b/assets/zht_api_mp_math_angle.md.mmecNIJM.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_angle.md.D6i--7zd.lean.js
rename to assets/zht_api_mp_math_angle.md.mmecNIJM.lean.js
diff --git a/assets/zht_api_mp_math_const.md.DI0xAyWX.js b/assets/zht_api_mp_math_const.md.D9eBwcNw.js
similarity index 83%
rename from assets/zht_api_mp_math_const.md.DI0xAyWX.js
rename to assets/zht_api_mp_math_const.md.D9eBwcNw.js
index 0577efa..cca5c32 100644
--- a/assets/zht_api_mp_math_const.md.DI0xAyWX.js
+++ b/assets/zht_api_mp_math_const.md.D9eBwcNw.js
@@ -1 +1 @@
-import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/const.md","filePath":"zht/api/mp_math/const.md"}'),r={name:"zht/api/mp_math/const.md"},l=e('
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
',14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const g=a(r,[["render",i]]);export{u as __pageData,g as default};
+import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const g=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/const.md","filePath":"zht/api/mp_math/const.md"}'),r={name:"zht/api/mp_math/const.md"},l=e('
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
',14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const u=a(r,[["render",i]]);export{g as __pageData,u as default};
diff --git a/assets/zht_api_mp_math_const.md.DI0xAyWX.lean.js b/assets/zht_api_mp_math_const.md.D9eBwcNw.lean.js
similarity index 67%
rename from assets/zht_api_mp_math_const.md.DI0xAyWX.lean.js
rename to assets/zht_api_mp_math_const.md.D9eBwcNw.lean.js
index 8d3900f..8476016 100644
--- a/assets/zht_api_mp_math_const.md.DI0xAyWX.lean.js
+++ b/assets/zht_api_mp_math_const.md.D9eBwcNw.lean.js
@@ -1 +1 @@
-import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/const.md","filePath":"zht/api/mp_math/const.md"}'),r={name:"zht/api/mp_math/const.md"},l=e("",14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const g=a(r,[["render",i]]);export{u as __pageData,g as default};
+import{_ as a,c as o,o as t,a4 as e}from"./chunks/framework.DpC1ZpOZ.js";const g=JSON.parse('{"title":"mbcp.mp_math.const","description":"","frontmatter":{"title":"mbcp.mp_math.const","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/const.md","filePath":"zht/api/mp_math/const.md"}'),r={name:"zht/api/mp_math/const.md"},l=e("",14),n=[l];function i(s,c,p,d,h,m){return t(),o("div",null,n)}const u=a(r,[["render",i]]);export{g as __pageData,u as default};
diff --git a/assets/zht_api_mp_math_equation.md.B3rt0Pgw.js b/assets/zht_api_mp_math_equation.md.B00IWO_d.js
similarity index 89%
rename from assets/zht_api_mp_math_equation.md.B3rt0Pgw.js
rename to assets/zht_api_mp_math_equation.md.B00IWO_d.js
index 26db594..3ea7d70 100644
--- a/assets/zht_api_mp_math_equation.md.B3rt0Pgw.js
+++ b/assets/zht_api_mp_math_equation.md.B00IWO_d.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),t={name:"zht/api/mp_math/equation.md"},l=n(`
mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
源碼 或 於GitHub上查看
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),t={name:"zht/api/mp_math/equation.md"},l=n(`
模組 mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
源碼 或 於GitHub上查看
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
diff --git a/assets/zht_api_mp_math_equation.md.B3rt0Pgw.lean.js b/assets/zht_api_mp_math_equation.md.B00IWO_d.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_equation.md.B3rt0Pgw.lean.js
rename to assets/zht_api_mp_math_equation.md.B00IWO_d.lean.js
diff --git a/assets/zht_api_mp_math_function.md.Cf9utaTV.js b/assets/zht_api_mp_math_function.md.BnUerglv.js
similarity index 99%
rename from assets/zht_api_mp_math_function.md.Cf9utaTV.js
rename to assets/zht_api_mp_math_function.md.BnUerglv.js
index c243aa6..dea7319 100644
--- a/assets/zht_api_mp_math_function.md.Cf9utaTV.js
+++ b/assets/zht_api_mp_math_function.md.BnUerglv.js
@@ -1,4 +1,4 @@
-import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/function.md","filePath":"zht/api/mp_math/function.md"}'),e={name:"zht/api/mp_math/function.md"},Q=a('
mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
',4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a('',1),o=[d],k=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,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),u=[c],y=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("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a('',1),_=[f],C=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",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a(`
變數説明:
返回: 梯度
源碼 或 於GitHub上查看
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+import{_ as l,c as t,j as s,a as n,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/function.md","filePath":"zht/api/mp_math/function.md"}'),e={name:"zht/api/mp_math/function.md"},Q=a('
模組 mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
',4),T={class:"tip custom-block github-alert"},h=s("p",{class:"custom-block-title"},"TIP",-1),p={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},r={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},d=a('',1),o=[d],k=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,"f"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",null,","),s("mi",null,"z"),s("mo",{stretchy:"false"},")")])],-1),m={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a('',1),u=[c],y=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("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")")])],-1),E={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},F={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},f=a('',1),_=[f],C=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",{mathvariant:"normal"},"∇"),s("mi",null,"f"),s("mo",{stretchy:"false"},"("),s("msub",null,[s("mi",null,"x"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"y"),s("mn",null,"0")]),s("mo",null,","),s("msub",null,[s("mi",null,"z"),s("mn",null,"0")]),s("mo",{stretchy:"false"},")"),s("mo",null,"="),s("mrow",{"data-mjx-texclass":"INNER"},[s("mo",{"data-mjx-texclass":"OPEN"},"("),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"x")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"y")])]),s("mo",null,","),s("mfrac",null,[s("mrow",null,[s("mi",null,"∂"),s("mi",null,"f")]),s("mrow",null,[s("mi",null,"∂"),s("mi",null,"z")])]),s("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),w=a(`
變數説明:
返回: 梯度
源碼 或 於GitHub上查看
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
diff --git a/assets/zht_api_mp_math_function.md.Cf9utaTV.lean.js b/assets/zht_api_mp_math_function.md.BnUerglv.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_function.md.Cf9utaTV.lean.js
rename to assets/zht_api_mp_math_function.md.BnUerglv.lean.js
diff --git a/assets/zht_api_mp_math_index.md.DbgI3vD1.js b/assets/zht_api_mp_math_index.md.DVqLRZhm.js
similarity index 77%
rename from assets/zht_api_mp_math_index.md.DbgI3vD1.js
rename to assets/zht_api_mp_math_index.md.DVqLRZhm.js
index 6dc6c51..e624f61 100644
--- a/assets/zht_api_mp_math_index.md.DbgI3vD1.js
+++ b/assets/zht_api_mp_math_index.md.DVqLRZhm.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/mp_math/index.md","filePath":"zht/api/mp_math/index.md"}'),l={name:"zht/api/mp_math/index.md"},o=c('
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：
',3),i=[o];function m(n,s,d,p,h,r){return t(),a("div",null,i)}const u=e(l,[["render",m]]);export{f as __pageData,u as default};
+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/mp_math/index.md","filePath":"zht/api/mp_math/index.md"}'),l={name:"zht/api/mp_math/index.md"},o=c('
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：
',3),i=[o];function m(n,s,d,p,r,h){return t(),a("div",null,i)}const u=e(l,[["render",m]]);export{f as __pageData,u as default};
diff --git a/assets/zht_api_mp_math_index.md.DbgI3vD1.lean.js b/assets/zht_api_mp_math_index.md.DVqLRZhm.lean.js
similarity index 86%
rename from assets/zht_api_mp_math_index.md.DbgI3vD1.lean.js
rename to assets/zht_api_mp_math_index.md.DVqLRZhm.lean.js
index 678567c..cd5548f 100644
--- a/assets/zht_api_mp_math_index.md.DbgI3vD1.lean.js
+++ b/assets/zht_api_mp_math_index.md.DVqLRZhm.lean.js
@@ -1 +1 @@
-import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/mp_math/index.md","filePath":"zht/api/mp_math/index.md"}'),l={name:"zht/api/mp_math/index.md"},o=c("",3),i=[o];function m(n,s,d,p,h,r){return t(),a("div",null,i)}const u=e(l,[["render",m]]);export{f as __pageData,u as default};
+import{_ as e,c as a,o as t,a4 as c}from"./chunks/framework.DpC1ZpOZ.js";const f=JSON.parse('{"title":"mbcp.mp_math","description":"","frontmatter":{"title":"mbcp.mp_math","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/mp_math/index.md","filePath":"zht/api/mp_math/index.md"}'),l={name:"zht/api/mp_math/index.md"},o=c("",3),i=[o];function m(n,s,d,p,r,h){return t(),a("div",null,i)}const u=e(l,[["render",m]]);export{f as __pageData,u as default};
diff --git a/assets/zht_api_mp_math_line.md.-wtKMTMJ.js b/assets/zht_api_mp_math_line.md.Dg3ji_dG.js
similarity index 96%
rename from assets/zht_api_mp_math_line.md.-wtKMTMJ.js
rename to assets/zht_api_mp_math_line.md.Dg3ji_dG.js
index 8d13236..a358a97 100644
--- a/assets/zht_api_mp_math_line.md.-wtKMTMJ.js
+++ b/assets/zht_api_mp_math_line.md.Dg3ji_dG.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/line.md","filePath":"zht/api/mp_math/line.md"}'),t={name:"zht/api/mp_math/line.md"},l=n(`
mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
變數説明:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
源碼 或 於GitHub上查看
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.line","description":"","frontmatter":{"title":"mbcp.mp_math.line","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/line.md","filePath":"zht/api/mp_math/line.md"}'),t={name:"zht/api/mp_math/line.md"},l=n(`
模組 mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
變數説明:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
源碼 或 於GitHub上查看
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
diff --git a/assets/zht_api_mp_math_line.md.-wtKMTMJ.lean.js b/assets/zht_api_mp_math_line.md.Dg3ji_dG.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_line.md.-wtKMTMJ.lean.js
rename to assets/zht_api_mp_math_line.md.Dg3ji_dG.lean.js
diff --git a/assets/zht_api_mp_math_mp_math_typing.md.BbOeRs-n.js b/assets/zht_api_mp_math_mp_math_typing.md.DWzRfFJe.js
similarity index 95%
rename from assets/zht_api_mp_math_mp_math_typing.md.BbOeRs-n.js
rename to assets/zht_api_mp_math_mp_math_typing.md.DWzRfFJe.js
index 7858f77..0ceac2e 100644
--- a/assets/zht_api_mp_math_mp_math_typing.md.BbOeRs-n.js
+++ b/assets/zht_api_mp_math_mp_math_typing.md.DWzRfFJe.js
@@ -1 +1 @@
-import{_ as a,c as r,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const v=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/mp_math_typing.md","filePath":"zht/api/mp_math/mp_math_typing.md"}'),l={name:"zht/api/mp_math/mp_math_typing.md"},n=o('
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
',36),t=[n];function i(s,c,d,p,u,g){return e(),r("div",null,t)}const m=a(l,[["render",i]]);export{v as __pageData,m as default};
+import{_ as a,c as r,o as e,a4 as o}from"./chunks/framework.DpC1ZpOZ.js";const v=JSON.parse('{"title":"mbcp.mp_math.mp_math_typing","description":"","frontmatter":{"title":"mbcp.mp_math.mp_math_typing","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/mp_math_typing.md","filePath":"zht/api/mp_math/mp_math_typing.md"}'),l={name:"zht/api/mp_math/mp_math_typing.md"},n=o('
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
',36),t=[n];function i(s,c,d,p,u,g){return e(),r("div",null,t)}const m=a(l,[["render",i]]);export{v as __pageData,m as default};
diff --git a/assets/zht_api_mp_math_mp_math_typing.md.BbOeRs-n.lean.js b/assets/zht_api_mp_math_mp_math_typing.md.DWzRfFJe.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_mp_math_typing.md.BbOeRs-n.lean.js
rename to assets/zht_api_mp_math_mp_math_typing.md.DWzRfFJe.lean.js
diff --git a/assets/zht_api_mp_math_plane.md.o_Vroqha.js b/assets/zht_api_mp_math_plane.md.C-9IgWh_.js
similarity index 97%
rename from assets/zht_api_mp_math_plane.md.o_Vroqha.js
rename to assets/zht_api_mp_math_plane.md.C-9IgWh_.js
index 9c26a68..c6c9b3a 100644
--- a/assets/zht_api_mp_math_plane.md.o_Vroqha.js
+++ b/assets/zht_api_mp_math_plane.md.C-9IgWh_.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=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"},t=n(`
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 s,c as i,o as a,a4 as n}from"./chunks/framework.DpC1ZpOZ.js";const y=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"},t=n(`
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):
     """
         平面方程：ax + by + cz + d = 0
         Args:
diff --git a/assets/zht_api_mp_math_plane.md.o_Vroqha.lean.js b/assets/zht_api_mp_math_plane.md.C-9IgWh_.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_plane.md.o_Vroqha.lean.js
rename to assets/zht_api_mp_math_plane.md.C-9IgWh_.lean.js
diff --git a/assets/zht_api_mp_math_point.md.CNwxPYyR.js b/assets/zht_api_mp_math_point.md.vFMEEeVu.js
similarity index 90%
rename from assets/zht_api_mp_math_point.md.CNwxPYyR.js
rename to assets/zht_api_mp_math_point.md.vFMEEeVu.js
index 39ec417..7051d19 100644
--- a/assets/zht_api_mp_math_point.md.CNwxPYyR.js
+++ b/assets/zht_api_mp_math_point.md.vFMEEeVu.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/point.md","filePath":"zht/api/mp_math/point.md"}'),n={name:"zht/api/mp_math/point.md"},h=t(`
mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
變數説明:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.point","description":"","frontmatter":{"title":"mbcp.mp_math.point","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/point.md","filePath":"zht/api/mp_math/point.md"}'),n={name:"zht/api/mp_math/point.md"},h=t(`
模組 mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
變數説明:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
diff --git a/assets/zht_api_mp_math_point.md.CNwxPYyR.lean.js b/assets/zht_api_mp_math_point.md.vFMEEeVu.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_point.md.CNwxPYyR.lean.js
rename to assets/zht_api_mp_math_point.md.vFMEEeVu.lean.js
diff --git a/assets/zht_api_mp_math_segment.md.Dr21f14B.js b/assets/zht_api_mp_math_segment.md.BuDHbwYP.js
similarity index 69%
rename from assets/zht_api_mp_math_segment.md.Dr21f14B.js
rename to assets/zht_api_mp_math_segment.md.BuDHbwYP.js
index d4c63d4..91014cf 100644
--- a/assets/zht_api_mp_math_segment.md.Dr21f14B.js
+++ b/assets/zht_api_mp_math_segment.md.BuDHbwYP.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/segment.md","filePath":"zht/api/mp_math/segment.md"}'),n={name:"zht/api/mp_math/segment.md"},h=t(`
mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。
變數説明:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
源碼 或 於GitHub上查看
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/segment.md","filePath":"zht/api/mp_math/segment.md"}'),n={name:"zht/api/mp_math/segment.md"},h=t(`
模組 mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。
變數説明:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
源碼 或 於GitHub上查看
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         Args:
@@ -12,4 +12,4 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F
     '长度'
     self.length = self.direction.length
     '中心点'
-    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,8),p=[h];function l(e,k,r,d,E,o){return a(),i("div",null,p)}const c=s(n,[["render",l]]);export{F as __pageData,c as default};
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
`,8),p=[h];function l(e,k,r,d,o,E){return a(),i("div",null,p)}const c=s(n,[["render",l]]);export{F as __pageData,c as default};
diff --git a/assets/zht_api_mp_math_segment.md.Dr21f14B.lean.js b/assets/zht_api_mp_math_segment.md.BuDHbwYP.lean.js
similarity index 73%
rename from assets/zht_api_mp_math_segment.md.Dr21f14B.lean.js
rename to assets/zht_api_mp_math_segment.md.BuDHbwYP.lean.js
index ca0ee65..b18ade0 100644
--- a/assets/zht_api_mp_math_segment.md.Dr21f14B.lean.js
+++ b/assets/zht_api_mp_math_segment.md.BuDHbwYP.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/segment.md","filePath":"zht/api/mp_math/segment.md"}'),n={name:"zht/api/mp_math/segment.md"},h=t("",8),p=[h];function l(e,k,r,d,E,o){return a(),i("div",null,p)}const c=s(n,[["render",l]]);export{F as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.segment","description":"","frontmatter":{"title":"mbcp.mp_math.segment","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/segment.md","filePath":"zht/api/mp_math/segment.md"}'),n={name:"zht/api/mp_math/segment.md"},h=t("",8),p=[h];function l(e,k,r,d,o,E){return a(),i("div",null,p)}const c=s(n,[["render",l]]);export{F as __pageData,c as default};
diff --git a/assets/zht_api_mp_math_utils.md.B57z4IwN.js b/assets/zht_api_mp_math_utils.md.DvxTZy5j.js
similarity index 92%
rename from assets/zht_api_mp_math_utils.md.B57z4IwN.js
rename to assets/zht_api_mp_math_utils.md.DvxTZy5j.js
index 4d3b2e6..3c130cb 100644
--- a/assets/zht_api_mp_math_utils.md.B57z4IwN.js
+++ b/assets/zht_api_mp_math_utils.md.DvxTZy5j.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/utils.md","filePath":"zht/api/mp_math/utils.md"}'),n={name:"zht/api/mp_math/utils.md"},l=t(`
mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
變數説明:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
返回: float: 限定在区间内的值
源碼 或 於GitHub上查看
python
def clamp(x: float, min_: float, max_: float) -> float:
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const F=JSON.parse('{"title":"mbcp.mp_math.utils","description":"","frontmatter":{"title":"mbcp.mp_math.utils","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/utils.md","filePath":"zht/api/mp_math/utils.md"}'),n={name:"zht/api/mp_math/utils.md"},l=t(`
模組 mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
變數説明:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
返回: float: 限定在区间内的值
源碼 或 於GitHub上查看
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
diff --git a/assets/zht_api_mp_math_utils.md.B57z4IwN.lean.js b/assets/zht_api_mp_math_utils.md.DvxTZy5j.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_utils.md.B57z4IwN.lean.js
rename to assets/zht_api_mp_math_utils.md.DvxTZy5j.lean.js
diff --git a/assets/zht_api_mp_math_vector.md.DCG5CraB.js b/assets/zht_api_mp_math_vector.md.hAG56fdm.js
similarity index 97%
rename from assets/zht_api_mp_math_vector.md.DCG5CraB.js
rename to assets/zht_api_mp_math_vector.md.hAG56fdm.js
index 7b1c8b3..d1e0c83 100644
--- a/assets/zht_api_mp_math_vector.md.DCG5CraB.js
+++ b/assets/zht_api_mp_math_vector.md.hAG56fdm.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/vector.md","filePath":"zht/api/mp_math/vector.md"}'),n={name:"zht/api/mp_math/vector.md"},e=t(`
mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
變數説明:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const E=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/vector.md","filePath":"zht/api/mp_math/vector.md"}'),n={name:"zht/api/mp_math/vector.md"},e=t(`
模組 mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
變數説明:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
diff --git a/assets/zht_api_mp_math_vector.md.DCG5CraB.lean.js b/assets/zht_api_mp_math_vector.md.hAG56fdm.lean.js
similarity index 100%
rename from assets/zht_api_mp_math_vector.md.DCG5CraB.lean.js
rename to assets/zht_api_mp_math_vector.md.hAG56fdm.lean.js
diff --git a/assets/zht_api_particle_index.md.DjZABivI.js b/assets/zht_api_particle_index.md.DjZABivI.js
deleted file mode 100644
index 32ce8e7..0000000
--- a/assets/zht_api_particle_index.md.DjZABivI.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as t,c as a,o as c,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/particle/index.md","filePath":"zht/api/particle/index.md"}'),i={name:"zht/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[r("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),s=e("p",null,"本模块定义了粒子生成相关的工具",-1),l=[p,s];function o(n,d,_,m,h,f){return c(),a("div",null,l)}const u=t(i,[["render",o]]);export{b as __pageData,u as default};
diff --git a/assets/zht_api_particle_index.md.DjZABivI.lean.js b/assets/zht_api_particle_index.md.DjZABivI.lean.js
deleted file mode 100644
index 32ce8e7..0000000
--- a/assets/zht_api_particle_index.md.DjZABivI.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as t,c as a,o as c,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/particle/index.md","filePath":"zht/api/particle/index.md"}'),i={name:"zht/api/particle/index.md"},p=e("h1",{id:"mbcp-particle",tabindex:"-1"},[r("mbcp.particle "),e("a",{class:"header-anchor",href:"#mbcp-particle","aria-label":'Permalink to "mbcp.particle"'},"​")],-1),s=e("p",null,"本模块定义了粒子生成相关的工具",-1),l=[p,s];function o(n,d,_,m,h,f){return c(),a("div",null,l)}const u=t(i,[["render",o]]);export{b as __pageData,u as default};
diff --git a/assets/zht_api_particle_index.md.bdouG1sk.js b/assets/zht_api_particle_index.md.bdouG1sk.js
new file mode 100644
index 0000000..0a955cd
--- /dev/null
+++ b/assets/zht_api_particle_index.md.bdouG1sk.js
@@ -0,0 +1 @@
+import{_ as a,c,o as r,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/particle/index.md","filePath":"zht/api/particle/index.md"}'),i={name:"zht/api/particle/index.md"},l=e("h1",{id:"模組-mbcp-particle",tabindex:"-1"},[e("strong",null,"模組"),t(),e("code",null,"mbcp.particle"),t(),e("a",{class:"header-anchor",href:"#模組-mbcp-particle","aria-label":'Permalink to "**模組** `mbcp.particle`"'},"​")],-1),p=e("p",null,"本模块定义了粒子生成相关的工具",-1),s=[l,p];function n(o,d,_,m,h,f){return r(),c("div",null,s)}const b=a(i,[["render",n]]);export{x as __pageData,b as default};
diff --git a/assets/zht_api_particle_index.md.bdouG1sk.lean.js b/assets/zht_api_particle_index.md.bdouG1sk.lean.js
new file mode 100644
index 0000000..0a955cd
--- /dev/null
+++ b/assets/zht_api_particle_index.md.bdouG1sk.lean.js
@@ -0,0 +1 @@
+import{_ as a,c,o as r,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.particle","description":"","frontmatter":{"title":"mbcp.particle","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/particle/index.md","filePath":"zht/api/particle/index.md"}'),i={name:"zht/api/particle/index.md"},l=e("h1",{id:"模組-mbcp-particle",tabindex:"-1"},[e("strong",null,"模組"),t(),e("code",null,"mbcp.particle"),t(),e("a",{class:"header-anchor",href:"#模組-mbcp-particle","aria-label":'Permalink to "**模組** `mbcp.particle`"'},"​")],-1),p=e("p",null,"本模块定义了粒子生成相关的工具",-1),s=[l,p];function n(o,d,_,m,h,f){return r(),c("div",null,s)}const b=a(i,[["render",n]]);export{x as __pageData,b as default};
diff --git a/assets/zht_api_presets_index.md.9wdPAkKN.js b/assets/zht_api_presets_index.md.9wdPAkKN.js
new file mode 100644
index 0000000..0f2e6c8
--- /dev/null
+++ b/assets/zht_api_presets_index.md.9wdPAkKN.js
@@ -0,0 +1 @@
+import{_ as s,c as a,o as r,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/presets/index.md","filePath":"zht/api/presets/index.md"}'),p={name:"zht/api/presets/index.md"},c=e("h1",{id:"模組-mbcp-presets",tabindex:"-1"},[e("strong",null,"模組"),t(),e("code",null,"mbcp.presets"),t(),e("a",{class:"header-anchor",href:"#模組-mbcp-presets","aria-label":'Permalink to "**模組** `mbcp.presets`"'},"​")],-1),n=e("p",null,"本模块塞了一些预设",-1),o=[c,n];function d(i,l,_,m,h,f){return r(),a("div",null,o)}const b=s(p,[["render",d]]);export{x as __pageData,b as default};
diff --git a/assets/zht_api_presets_index.md.9wdPAkKN.lean.js b/assets/zht_api_presets_index.md.9wdPAkKN.lean.js
new file mode 100644
index 0000000..0f2e6c8
--- /dev/null
+++ b/assets/zht_api_presets_index.md.9wdPAkKN.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as a,o as r,j as e,a as t}from"./chunks/framework.DpC1ZpOZ.js";const x=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/presets/index.md","filePath":"zht/api/presets/index.md"}'),p={name:"zht/api/presets/index.md"},c=e("h1",{id:"模組-mbcp-presets",tabindex:"-1"},[e("strong",null,"模組"),t(),e("code",null,"mbcp.presets"),t(),e("a",{class:"header-anchor",href:"#模組-mbcp-presets","aria-label":'Permalink to "**模組** `mbcp.presets`"'},"​")],-1),n=e("p",null,"本模块塞了一些预设",-1),o=[c,n];function d(i,l,_,m,h,f){return r(),a("div",null,o)}const b=s(p,[["render",d]]);export{x as __pageData,b as default};
diff --git a/assets/zht_api_presets_index.md.Bl7tnVS9.js b/assets/zht_api_presets_index.md.Bl7tnVS9.js
deleted file mode 100644
index e0923af..0000000
--- a/assets/zht_api_presets_index.md.Bl7tnVS9.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as t,c as s,o as a,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/presets/index.md","filePath":"zht/api/presets/index.md"}'),p={name:"zht/api/presets/index.md"},c=e("h1",{id:"mbcp-presets",tabindex:"-1"},[r("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),o=e("p",null,"本模块塞了一些预设",-1),n=[c,o];function d(i,l,_,m,h,f){return a(),s("div",null,n)}const u=t(p,[["render",d]]);export{b as __pageData,u as default};
diff --git a/assets/zht_api_presets_index.md.Bl7tnVS9.lean.js b/assets/zht_api_presets_index.md.Bl7tnVS9.lean.js
deleted file mode 100644
index e0923af..0000000
--- a/assets/zht_api_presets_index.md.Bl7tnVS9.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as t,c as s,o as a,j as e,a as r}from"./chunks/framework.DpC1ZpOZ.js";const b=JSON.parse('{"title":"mbcp.presets","description":"","frontmatter":{"title":"mbcp.presets","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/presets/index.md","filePath":"zht/api/presets/index.md"}'),p={name:"zht/api/presets/index.md"},c=e("h1",{id:"mbcp-presets",tabindex:"-1"},[r("mbcp.presets "),e("a",{class:"header-anchor",href:"#mbcp-presets","aria-label":'Permalink to "mbcp.presets"'},"​")],-1),o=e("p",null,"本模块塞了一些预设",-1),n=[c,o];function d(i,l,_,m,h,f){return a(),s("div",null,n)}const u=t(p,[["render",d]]);export{b as __pageData,u as default};
diff --git a/assets/zht_api_presets_model_index.md.BQanubQ0.js b/assets/zht_api_presets_model_index.md.CyrJscBT.js
similarity index 80%
rename from assets/zht_api_presets_model_index.md.BQanubQ0.js
rename to assets/zht_api_presets_model_index.md.CyrJscBT.js
index 77500af..fd35ac1 100644
--- a/assets/zht_api_presets_model_index.md.BQanubQ0.js
+++ b/assets/zht_api_presets_model_index.md.CyrJscBT.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/presets/model/index.md","filePath":"zht/api/presets/model/index.md"}'),n={name:"zht/api/presets/model/index.md"},h=t(`
mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
變數説明:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源碼 或 於GitHub上查看
python
@staticmethod
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/presets/model/index.md","filePath":"zht/api/presets/model/index.md"}'),n={name:"zht/api/presets/model/index.md"},h=t(`
模組 mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
變數説明:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源碼 或 於GitHub上查看
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -15,4 +15,4 @@ import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
`,10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
`,10),l=[h];function p(e,k,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
diff --git a/assets/zht_api_presets_model_index.md.BQanubQ0.lean.js b/assets/zht_api_presets_model_index.md.CyrJscBT.lean.js
similarity index 87%
rename from assets/zht_api_presets_model_index.md.BQanubQ0.lean.js
rename to assets/zht_api_presets_model_index.md.CyrJscBT.lean.js
index 51a0c5b..443be63 100644
--- a/assets/zht_api_presets_model_index.md.BQanubQ0.lean.js
+++ b/assets/zht_api_presets_model_index.md.CyrJscBT.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/presets/model/index.md","filePath":"zht/api/presets/model/index.md"}'),n={name:"zht/api/presets/model/index.md"},h=t("",10),l=[h];function p(k,e,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a4 as t}from"./chunks/framework.DpC1ZpOZ.js";const y=JSON.parse('{"title":"mbcp.presets.model","description":"","frontmatter":{"title":"mbcp.presets.model","lastUpdated":false,"collapsed":true},"headers":[],"relativePath":"zht/api/presets/model/index.md","filePath":"zht/api/presets/model/index.md"}'),n={name:"zht/api/presets/model/index.md"},h=t("",10),l=[h];function p(e,k,r,d,E,o){return a(),i("div",null,l)}const c=s(n,[["render",p]]);export{y as __pageData,c as default};
diff --git a/demo/best-practice.html b/demo/best-practice.html
index f222562..8c61f53 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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diff --git a/demo/index.html b/demo/index.html
index 2f96216..5776659 100644
--- a/demo/index.html
+++ b/demo/index.html
@@ -6,10 +6,10 @@
     demo | MBCP 文档
     
     
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MBCP 文档
简体中文
English
日本語
繁體中文
简体中文
English
日本語
繁體中文
Appearance
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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diff --git a/en/api/index.html b/en/api/index.html
index 92f19d7..ca27789 100644
--- a/en/api/index.html
+++ b/en/api/index.html
@@ -6,20 +6,20 @@
     mbcp | MBCP docs
     
     
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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
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

-    
+    
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 ​
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

+    
     
   
 
\ No newline at end of file
diff --git a/en/api/mp_math/angle.html b/en/api/mp_math/angle.html
index 0ef4f1c..9661a03 100644
--- a/en/api/mp_math/angle.html
+++ b/en/api/mp_math/angle.html
@@ -6,19 +6,19 @@
     mbcp.mp_math.angle | MBCP docs
     
     
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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
mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
Description: 任意角度。
Arguments:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code or View on GitHub
python
def __init__(self, value: float, is_radian: bool=False):
+    
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.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
Description: 任意角度。
Arguments:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code or View on GitHub
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -117,7 +117,7 @@
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
     return AnyAngle(self.radian / other, is_radian=True)
Documentation built with VitePress | API references generated by litedoc
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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\ No newline at end of file
diff --git a/en/api/mp_math/const.html b/en/api/mp_math/const.html
index c4a8674..18114e5 100644
--- a/en/api/mp_math/const.html
+++ b/en/api/mp_math/const.html
@@ -6,20 +6,20 @@
     mbcp.mp_math.const | MBCP docs
     
     
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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
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

-    
+    
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.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

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diff --git a/en/api/mp_math/equation.html b/en/api/mp_math/equation.html
index 1dd05be..c5c070c 100644
--- a/en/api/mp_math/equation.html
+++ b/en/api/mp_math/equation.html
@@ -6,19 +6,19 @@
     mbcp.mp_math.equation | MBCP docs
     
     
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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
mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
Source code or View on GitHub
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    
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.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
Source code or View on GitHub
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -83,7 +83,7 @@
         return high_order_partial_derivative_func
     else:
         raise ValueError('Invalid var type')
Documentation built with VitePress | API references generated by litedoc
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
Description: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
Arguments:
Return: 梯度
Source code or View on GitHub
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
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Module mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
Description: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
Arguments:
Return: 梯度
Source code or View on GitHub
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -60,7 +60,7 @@
         """@litedoc-hide"""
         return func(*args, *args2)
     return curried_func
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     mbcp.mp_math | MBCP docs
     
     
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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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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

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     mbcp.mp_math.line | MBCP docs
     
     
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mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
Description: 三维空间中的直线。由一个点和一个方向向量确定。
Arguments:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
Source code or View on GitHub
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
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Module mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
Description: 三维空间中的直线。由一个点和一个方向向量确定。
Arguments:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
Source code or View on GitHub
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
@@ -192,7 +192,7 @@
             [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否等价
         """
     return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
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     mbcp.mp_math.mp_math_typing | MBCP docs
     
     
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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
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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

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     mbcp.mp_math.plane | MBCP docs
     
     
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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) ​
Description: 平面方程：ax + by + cz + d = 0
Arguments:
  • a (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
Source code or View on GitHub
python
def __init__(self, a: float, b: float, c: float, d: float):
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Module 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) ​
Description: 平面方程：ax + by + cz + d = 0
Arguments:
  • a (float): x系数
  • b (float): y系数
  • c (float): z系数
  • d (float): 常数项
Source code or View on GitHub
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -224,7 +224,7 @@
         """
     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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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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     mbcp.mp_math.point | MBCP docs
     
     
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mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 笛卡尔坐标系中的点。
Arguments:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):
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Module mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 笛卡尔坐标系中的点。
Arguments:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -70,7 +70,7 @@
         """
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
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     mbcp.mp_math.segment | MBCP docs
     
     
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mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
Description: 三维空间中的线段。
Arguments:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
Source code or View on GitHub
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
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Module mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
Description: 三维空间中的线段。
Arguments:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
Source code or View on GitHub
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         Args:
@@ -33,7 +33,7 @@
     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)
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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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     mbcp.mp_math.utils | MBCP docs
     
     
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mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
Description: 区间限定函数
Arguments:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
Return: float: 限定在区间内的值
Source code or View on GitHub
python
def clamp(x: float, min_: float, max_: float) -> float:
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Module mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
Description: 区间限定函数
Arguments:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
Return: float: 限定在区间内的值
Source code or View on GitHub
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -87,7 +87,7 @@
         return f'-{abs(x)}'
     else:
         return ''
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mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 3维向量
Arguments:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):
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Module mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
Description: 3维向量
Arguments:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -215,7 +215,7 @@
             [`Vector3`](#class-vector3): 负向量
         """
     return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 ​
  • Description: 零向量
  • Type: Vector3
  • Default: Vector3(0, 0, 0)
var x_axis ​
  • Description: x轴单位向量
  • Type: Vector3
  • Default: Vector3(1, 0, 0)
var y_axis ​
  • Description: y轴单位向量
  • Type: Vector3
  • Default: Vector3(0, 1, 0)
var z_axis ​
  • Description: z轴单位向量
  • Type: Vector3
  • Default: Vector3(0, 0, 1)
Documentation built with VitePress | API references generated by litedoc
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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     mbcp.presets.model | MBCP docs
     
     
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mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
Description: 生成球体上的点集。
Arguments:
  • radius:
  • density:
Return: List[Point3]: 球体上的点集。
Source code or View on GitHub
python
@staticmethod
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Module mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
Description: 生成球体上的点集。
Arguments:
  • radius:
  • density:
Return: List[Point3]: 球体上的点集。
Source code or View on GitHub
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -36,7 +36,7 @@
     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)]
Documentation built with VitePress | API references generated by litedoc
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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开始不了一点 ​
∫12x111
Documentation built with VitePress | API references generated by litedoc
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MBCP
More basic change particle
A Library for Python to create Minecraft particle effects and geometric figures
Get Started
API Reference
Best Practice
MBCP logo
🛠️
Easy to use
Through a simple interface, most of the geometric operations and particle production requirements have been achieved
📦
Integrated
Encapsulated and integratednumpy, scipy and sympy, making script writing as simple as using Geogebra
🧊
Rich presets
Rich presets and examples, you can use it directly, and you can also customize the parameters to create your own effects
Documentation built with VitePress | API references generated by litedoc
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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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
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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diff --git a/index.html b/index.html
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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
快速开始
API文档
最佳实践
MBCP logo
🛠️
高可用性
通过简单的接口，实现了大部分几何运算和粒子制作的需求
📦
高集成度
对numpy、scipy及sumpy进行了封装和集成，使脚本编写像使用Geogebra一样简单
🧊
内置预设
提供了大量的预设，包括常见的几何图形、粒子效果等，方便快速制作
文档由 VitePress 构建 | API引用由 litedoc 生成
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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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
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

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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
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

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mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
引数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード または GitHubで表示
python
def __init__(self, value: float, is_radian: bool=False):
+    
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モジュール mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
引数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード または GitHubで表示
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -117,7 +117,7 @@
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
     return AnyAngle(self.radian / other, is_radian=True)
VitePress で構築されたドキュメント | litedoc によって生成されたAPIリファレンス
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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
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
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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
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

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mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
ソースコード または GitHubで表示
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    
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モジュール mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
ソースコード または GitHubで表示
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -83,7 +83,7 @@
         return high_order_partial_derivative_func
     else:
         raise ValueError('Invalid var type')
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diff --git a/ja/api/mp_math/function.html b/ja/api/mp_math/function.html
index ac07428..4c4a359 100644
--- a/ja/api/mp_math/function.html
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     mbcp.mp_math.function | MBCP ドキュメント
     
     
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mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
引数:
戻り値: 梯度
ソースコード または GitHubで表示
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    
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モジュール mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
引数:
戻り値: 梯度
ソースコード または GitHubで表示
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -60,7 +60,7 @@
         """@litedoc-hide"""
         return func(*args, *args2)
     return curried_func
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diff --git a/ja/api/mp_math/index.html b/ja/api/mp_math/index.html
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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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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：
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
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diff --git a/ja/api/mp_math/line.html b/ja/api/mp_math/line.html
index 6ff7872..08b41e1 100644
--- a/ja/api/mp_math/line.html
+++ b/ja/api/mp_math/line.html
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     mbcp.mp_math.line | MBCP ドキュメント
     
     
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mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
引数:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
ソースコード または GitHubで表示
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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モジュール mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
引数:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
ソースコード または GitHubで表示
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
@@ -192,7 +192,7 @@
             [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否等价
         """
     return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
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diff --git a/ja/api/mp_math/mp_math_typing.html b/ja/api/mp_math/mp_math_typing.html
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--- a/ja/api/mp_math/mp_math_typing.html
+++ b/ja/api/mp_math/mp_math_typing.html
@@ -6,20 +6,20 @@
     mbcp.mp_math.mp_math_typing | MBCP ドキュメント
     
     
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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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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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diff --git a/ja/api/mp_math/plane.html b/ja/api/mp_math/plane.html
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     mbcp.mp_math.plane | MBCP ドキュメント
     
     
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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):
+    
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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):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -224,7 +224,7 @@
         """
     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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mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
引数:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):
+    
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モジュール mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
引数:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -70,7 +70,7 @@
         """
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
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index 244081e..f3e2907 100644
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mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。
引数:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
ソースコード または GitHubで表示
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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モジュール mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。
引数:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
ソースコード または GitHubで表示
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         Args:
@@ -33,7 +33,7 @@
     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)
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diff --git a/ja/api/mp_math/utils.html b/ja/api/mp_math/utils.html
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@@ -6,19 +6,19 @@
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mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
引数:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
戻り値: float: 限定在区间内的值
ソースコード または GitHubで表示
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
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モジュール mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
引数:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
戻り値: float: 限定在区间内的值
ソースコード または GitHubで表示
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -87,7 +87,7 @@
         return f'-{abs(x)}'
     else:
         return ''
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     mbcp.mp_math.vector | MBCP ドキュメント
     
     
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mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
引数:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):
+    
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モジュール mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
引数:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -215,7 +215,7 @@
             [`Vector3`](#class-vector3): 负向量
         """
     return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 ​
  • 説明: 零向量
  • タイプ: Vector3
  • デフォルト: Vector3(0, 0, 0)
var x_axis ​
  • 説明: x轴单位向量
  • タイプ: Vector3
  • デフォルト: Vector3(1, 0, 0)
var y_axis ​
  • 説明: y轴单位向量
  • タイプ: Vector3
  • デフォルト: Vector3(0, 1, 0)
var z_axis ​
  • 説明: z轴单位向量
  • タイプ: Vector3
  • デフォルト: Vector3(0, 0, 1)
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mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
引数:
  • radius:
  • density:
戻り値: List[Point3]: 球体上的点集。
ソースコード または GitHubで表示
python
@staticmethod
+    
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モジュール mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
引数:
  • radius:
  • density:
戻り値: List[Point3]: 球体上的点集。
ソースコード または GitHubで表示
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -36,7 +36,7 @@
     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)]
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开始不了一点 ​
∫12x111
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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
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Reference ​
Help us to improve the documentation
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文档由 VitePress 构建 | API引用由 litedoc 生成
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Reference ​
Help us to improve the documentation
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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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

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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

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diff --git a/zht/api/mp_math/angle.html b/zht/api/mp_math/angle.html
index ab0c390..63ad797 100644
--- a/zht/api/mp_math/angle.html
+++ b/zht/api/mp_math/angle.html
@@ -6,19 +6,19 @@
     mbcp.mp_math.angle | MBCP 文檔
     
     
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mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
變數説明:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼 或 於GitHub上查看
python
def __init__(self, value: float, is_radian: bool=False):
+    
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模組 mbcp.mp_math.angle ​
本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
method __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
變數説明:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼 或 於GitHub上查看
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -117,7 +117,7 @@
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
     return AnyAngle(self.radian / other, is_radian=True)
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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

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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

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     mbcp.mp_math.equation | MBCP 文檔
     
     
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mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
源碼 或 於GitHub上查看
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    
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模組 mbcp.mp_math.equation ​
本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
源碼 或 於GitHub上查看
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -83,7 +83,7 @@
         return high_order_partial_derivative_func
     else:
         raise ValueError('Invalid var type')
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mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
變數説明:
返回: 梯度
源碼 或 於GitHub上查看
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    
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模組 mbcp.mp_math.function ​
AAA
func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
變數説明:
返回: 梯度
源碼 或 於GitHub上查看
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -60,7 +60,7 @@
         """@litedoc-hide"""
         return func(*args, *args2)
     return curried_func
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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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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

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mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
變數説明:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
源碼 或 於GitHub上查看
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
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模組 mbcp.mp_math.line ​
本模块定义了三维空间中的直线类
class Line3 ​
method __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
變數説明:
  • point (Point3): 直线上的一点
  • direction (Vector3): 方向向量
源碼 或 於GitHub上查看
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
@@ -192,7 +192,7 @@
             [`bool`](https%3A//docs.python.org/3/library/functions.html#bool): 是否等价
         """
     return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
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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

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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

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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):
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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):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -224,7 +224,7 @@
         """
     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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mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
變數説明:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
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模組 mbcp.mp_math.point ​
本模块定义了三维空间中点的类。
class Point3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
變數説明:
  • x (float): x 坐标
  • y (float): y 坐标
  • z (float): z 坐标
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -70,7 +70,7 @@
         """
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
文檔由 VitePress 構建 | API引用由 litedoc 生成
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。
變數説明:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
源碼 或 於GitHub上查看
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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模組 mbcp.mp_math.segment ​
本模块定义了三维空间中的线段类
class Segment3 ​
method __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。
變數説明:
  • p1 (Point3): 线段的一个端点
  • p2 (Point3): 线段的另一个端点
源碼 或 於GitHub上查看
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         Args:
@@ -33,7 +33,7 @@
     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)
文檔由 VitePress 構建 | API引用由 litedoc 生成
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
變數説明:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
返回: float: 限定在区间内的值
源碼 或 於GitHub上查看
python
def clamp(x: float, min_: float, max_: float) -> float:
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模組 mbcp.mp_math.utils ​
本模块定义了一些常用的工具函数
func clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
變數説明:
  • x (float): 值
  • min_ (float): 最小值
  • max_ (float): 最大值
返回: float: 限定在区间内的值
源碼 或 於GitHub上查看
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -87,7 +87,7 @@
         return f'-{abs(x)}'
     else:
         return ''
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mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
變數説明:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
+    
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模組 mbcp.mp_math.vector ​
本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
method __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
變數説明:
  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -215,7 +215,7 @@
             [`Vector3`](#class-vector3): 负向量
         """
     return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 ​
  • 説明: 零向量
  • 類型: Vector3
  • 默認值: Vector3(0, 0, 0)
var x_axis ​
  • 説明: x轴单位向量
  • 類型: Vector3
  • 默認值: Vector3(1, 0, 0)
var y_axis ​
  • 説明: y轴单位向量
  • 類型: Vector3
  • 默認值: Vector3(0, 1, 0)
var z_axis ​
  • 説明: z轴单位向量
  • 類型: Vector3
  • 默認值: Vector3(0, 0, 1)
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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
變數説明:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源碼 或 於GitHub上查看
python
@staticmethod
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模組 mbcp.presets.model ​
几何模型点集
class GeometricModels ​
@staticmethod
method sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
變數説明:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源碼 或 於GitHub上查看
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -36,7 +36,7 @@
     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)]
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开始不了一点 ​
∫12x111
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MBCP
更多基礎變化粒子
用於幾何運算和 當個創世神 粒子製作的軟體庫
跟隨引導
API文檔
最佳實踐
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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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Reference ​
Help us to improve the documentation
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