From 690e763222bfdbbd3b07a1ed6e256e99e519bb02 Mon Sep 17 00:00:00 2001 From: snowykami Date: Fri, 30 Aug 2024 22:08:36 +0000 Subject: [PATCH] =?UTF-8?q?Deploying=20to=20docs=20from=20@=20snowykami/mb?= =?UTF-8?q?cp@0c2d342bbfc9c0d0e1b96b7fe651e9713c671a4d=20=F0=9F=9A=80?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 404.html | 7 ++-- api/api.html | 11 ++--- api/index.html | 11 ++--- api/mp_math/angle.html | 13 +++--- api/mp_math/const.html | 11 ++--- api/mp_math/equation.html | 30 ++++---------- api/mp_math/function.html | 40 +++++++++++++++---- api/mp_math/index.html | 11 ++--- api/mp_math/line.html | 13 +++--- api/mp_math/mp_math.html | 11 ++--- api/mp_math/mp_math_typing.html | 11 ++--- api/mp_math/plane.html | 13 +++--- api/mp_math/point.html | 13 +++--- api/mp_math/segment.html | 13 +++--- api/mp_math/utils.html | 13 +++--- api/mp_math/vector.html | 13 +++--- api/particle/index.html | 11 ++--- api/particle/particle.html | 11 ++--- api/presets/index.html | 11 ++--- api/presets/model/index.html | 13 +++--- api/presets/model/model.html | 13 +++--- api/presets/presets.html | 11 ++--- ...js => api_mp_math_equation.md.B2FeM0MH.js} | 19 +-------- ... api_mp_math_equation.md.B2FeM0MH.lean.js} | 2 +- ...js => api_mp_math_function.md.BnSMoIoo.js} | 29 +++++++++++++- .../api_mp_math_function.md.BnSMoIoo.lean.js | 1 + .../api_mp_math_function.md.Cj4FyaYl.lean.js | 1 - ...=> en_api_mp_math_equation.md.vEMIOITc.js} | 19 +-------- ..._api_mp_math_equation.md.vEMIOITc.lean.js} | 2 +- ...=> en_api_mp_math_function.md.BWhqj_9Y.js} | 29 +++++++++++++- ...n_api_mp_math_function.md.BWhqj_9Y.lean.js | 1 + ...n_api_mp_math_function.md.Bgn-YygZ.lean.js | 1 - assets/en_index.md.BSTSOH39.js | 1 + assets/en_index.md.BSTSOH39.lean.js | 1 + assets/en_index.md.MCm69eyE.js | 1 - assets/en_index.md.MCm69eyE.lean.js | 1 - assets/index.md.BjJ9-kbE.js | 1 - assets/index.md.BjJ9-kbE.lean.js | 1 - assets/index.md.CNF8LJa0.js | 1 + assets/index.md.CNF8LJa0.lean.js | 1 + ...=> ja_api_mp_math_equation.md.D-4BBsnQ.js} | 19 +-------- ..._api_mp_math_equation.md.D-4BBsnQ.lean.js} | 2 +- ...=> ja_api_mp_math_function.md.Bvf1U09A.js} | 29 +++++++++++++- ...a_api_mp_math_function.md.Bvf1U09A.lean.js | 1 + ...a_api_mp_math_function.md.Bx9H66-W.lean.js | 1 - assets/ja_index.md.CtozMsIU.js | 1 - assets/ja_index.md.CtozMsIU.lean.js | 1 - assets/ja_index.md.DCWiTENz.js | 1 + assets/ja_index.md.DCWiTENz.lean.js | 1 + ...{style.CTLFORxu.css => style.BiH8pcAw.css} | 2 +- ...> zht_api_mp_math_equation.md.BAr_ktNP.js} | 19 +-------- ..._api_mp_math_equation.md.BAr_ktNP.lean.js} | 2 +- ...> zht_api_mp_math_function.md.C2Gp7z0v.js} | 29 +++++++++++++- ...t_api_mp_math_function.md.C2Gp7z0v.lean.js | 1 + ...t_api_mp_math_function.md.C6pPUbwO.lean.js | 1 - assets/zht_index.md.V9U3SwDR.js | 1 - assets/zht_index.md.V9U3SwDR.lean.js | 1 - assets/zht_index.md.VMjJ0lpj.js | 1 + assets/zht_index.md.VMjJ0lpj.lean.js | 1 + demo/index.html | 11 ++--- en/api/api.html | 9 +++-- en/api/index.html | 9 +++-- en/api/mp_math/angle.html | 11 ++--- en/api/mp_math/const.html | 9 +++-- en/api/mp_math/equation.html | 28 ++++--------- en/api/mp_math/function.html | 38 +++++++++++++++--- en/api/mp_math/index.html | 9 +++-- en/api/mp_math/line.html | 11 ++--- en/api/mp_math/mp_math.html | 9 +++-- en/api/mp_math/mp_math_typing.html | 9 +++-- en/api/mp_math/plane.html | 11 ++--- en/api/mp_math/point.html | 11 ++--- en/api/mp_math/segment.html | 11 ++--- en/api/mp_math/utils.html | 11 ++--- en/api/mp_math/vector.html | 11 ++--- en/api/particle/index.html | 9 +++-- en/api/particle/particle.html | 9 +++-- en/api/presets/index.html | 9 +++-- en/api/presets/model/index.html | 11 ++--- en/api/presets/model/model.html | 11 ++--- en/api/presets/presets.html | 9 +++-- en/guide/index.html | 9 +++-- en/index.html | 11 ++--- en/refer/index.html | 9 +++-- guide/index.html | 11 ++--- hashmap.json | 2 +- index.html | 13 +++--- ja/api/api.html | 11 ++--- ja/api/index.html | 11 ++--- ja/api/mp_math/angle.html | 13 +++--- ja/api/mp_math/const.html | 11 ++--- ja/api/mp_math/equation.html | 30 ++++---------- ja/api/mp_math/function.html | 40 +++++++++++++++---- ja/api/mp_math/index.html | 11 ++--- ja/api/mp_math/line.html | 13 +++--- ja/api/mp_math/mp_math.html | 11 ++--- ja/api/mp_math/mp_math_typing.html | 11 ++--- ja/api/mp_math/plane.html | 13 +++--- ja/api/mp_math/point.html | 13 +++--- ja/api/mp_math/segment.html | 13 +++--- ja/api/mp_math/utils.html | 13 +++--- ja/api/mp_math/vector.html | 13 +++--- ja/api/particle/index.html | 11 ++--- ja/api/particle/particle.html | 11 ++--- ja/api/presets/index.html | 11 ++--- ja/api/presets/model/index.html | 13 +++--- ja/api/presets/model/model.html | 13 +++--- ja/api/presets/presets.html | 11 ++--- ja/guide/index.html | 11 ++--- ja/index.html | 13 +++--- ja/refer/index.html | 11 ++--- mbcp-logo.svg | 7 ++++ refer/function/curry.html | 11 ++--- refer/function/function.html | 11 ++--- refer/index.html | 11 ++--- zht/api/api.html | 11 ++--- zht/api/index.html | 11 ++--- zht/api/mp_math/angle.html | 13 +++--- zht/api/mp_math/const.html | 11 ++--- zht/api/mp_math/equation.html | 30 ++++---------- zht/api/mp_math/function.html | 40 +++++++++++++++---- zht/api/mp_math/index.html | 11 ++--- zht/api/mp_math/line.html | 13 +++--- zht/api/mp_math/mp_math.html | 11 ++--- zht/api/mp_math/mp_math_typing.html | 11 ++--- zht/api/mp_math/plane.html | 13 +++--- zht/api/mp_math/point.html | 13 +++--- zht/api/mp_math/segment.html | 13 +++--- zht/api/mp_math/utils.html | 13 +++--- zht/api/mp_math/vector.html | 13 +++--- zht/api/particle/index.html | 11 ++--- zht/api/particle/particle.html | 11 ++--- zht/api/presets/index.html | 11 ++--- zht/api/presets/model/index.html | 13 +++--- zht/api/presets/model/model.html | 13 +++--- zht/api/presets/presets.html | 11 ++--- zht/guide/index.html | 11 ++--- zht/index.html | 13 +++--- zht/refer/index.html | 11 ++--- 139 files changed, 871 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- + \ No newline at end of file diff --git a/api/api.html b/api/api.html index 1175885..05dbda4 100644 --- a/api/api.html +++ b/api/api.html @@ -3,22 +3,23 @@ - mbcp | MBCP docs - + mbcp | MBCP 文档 + - + + -
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mbcp ​

说明: 本模块塞了一些预设的粒子生成器

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mbcp ​

说明: 本模块塞了一些预设的粒子生成器

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+ \ No newline at end of file diff --git a/api/index.html b/api/index.html index 0e95e7e..842874c 100644 --- a/api/index.html +++ b/api/index.html @@ -3,22 +3,23 @@ - mbcp | MBCP docs - + mbcp | MBCP 文档 + - + + -
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mbcp ​

说明: 本模块塞了一些预设的粒子生成器

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mbcp ​

说明: 本模块塞了一些预设的粒子生成器

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+ \ No newline at end of file diff --git a/api/mp_math/angle.html b/api/mp_math/angle.html index 7f03ff4..9307fc0 100644 --- a/api/mp_math/angle.html +++ b/api/mp_math/angle.html @@ -3,21 +3,22 @@ - mbcp.mp_math.angle | MBCP docs - + mbcp.mp_math.angle | MBCP 文档 + - + + -
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mbcp.mp_math.angle ​

说明: 本模块定义了角度相关的类

class Angle ​

class AnyAngle(Angle) ​

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

说明: 任意角度。

参数:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源代码
python
def __init__(self, value: float, is_radian: bool=False):
+    
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mbcp.mp_math.angle ​
说明: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
def __init__(self, value: float, is_radian: bool = False) ​
说明: 任意角度。
参数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源代码
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -115,8 +116,8 @@
     ...
def self / other ​
源代码
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)
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-    
+    return AnyAngle(self.radian / other, is_radian=True)

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+ \ No newline at end of file diff --git a/api/mp_math/const.html b/api/mp_math/const.html index 2ceb99c..697b377 100644 --- a/api/mp_math/const.html +++ b/api/mp_math/const.html @@ -3,22 +3,23 @@ - mbcp.mp_math.const | MBCP docs - + mbcp.mp_math.const | MBCP 文档 + - + + -
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mbcp.mp_math.const ​

说明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 说明: 常量 π

var E = math.e ​

  • 说明: 自然对数的底 exp(1)

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

  • 说明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 说明: 欧拉常数

var EPSILON = 0.0001 ​

  • 说明: 精度误差

var APPROX = 0.001 ​

  • 说明: 约等于判定误差

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mbcp.mp_math.const ​

说明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 说明: 常量 π

var E = math.e ​

  • 说明: 自然对数的底 exp(1)

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

  • 说明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 说明: 欧拉常数

var EPSILON = 0.0001 ​

  • 说明: 精度误差

var APPROX = 0.001 ​

  • 说明: 约等于判定误差

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+ \ No newline at end of file diff --git a/api/mp_math/equation.html b/api/mp_math/equation.html index c0f1afe..1bf23a2 100644 --- a/api/mp_math/equation.html +++ b/api/mp_math/equation.html @@ -3,21 +3,22 @@ - mbcp.mp_math.equation | MBCP docs - + mbcp.mp_math.equation | MBCP 文档 + - + - + + -
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mbcp.mp_math.equation ​

说明: 本模块定义了方程相关的类和函数以及一些常用的数学函数

class CurveEquation ​

def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​

说明: 曲线方程。

参数:

  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源代码
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    
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mbcp.mp_math.equation ​
说明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源代码
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -81,23 +82,8 @@
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
说明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
参数:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源代码
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
-    """
-    对多参数函数进行柯里化。
-    > [!tip]
-    > 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: 函数
-        *args: 参数
-    Returns:
-        柯里化后的函数
-    """
-
-    def curried_func(*args2: Var) -> Var:
-        """@litedoc-hide"""
-        return func(*args, *args2)
-    return curried_func
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-    
+        raise ValueError('Invalid var type')

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+ \ No newline at end of file diff --git a/api/mp_math/function.html b/api/mp_math/function.html index 75cce8d..63bfe46 100644 --- a/api/mp_math/function.html +++ b/api/mp_math/function.html @@ -3,21 +3,22 @@ - mbcp.mp_math.function | MBCP docs - + mbcp.mp_math.function | MBCP 文档 + - + - + + -
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mbcp.mp_math.function ​

说明: AAA

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

说明: 计算三元函数在某点的梯度向量。

TIP

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

参数:

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

返回: 梯度

源代码
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    
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mbcp.mp_math.function ​
说明: AAA
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
说明: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
参数:
  • func: 三元函数
  • p: 点
  • epsilon: 偏移量
返回: 梯度
源代码
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -33,8 +34,33 @@
     dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
     dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
     dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
-    return Vector3(dx, dy, dz)
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-    
+    return Vector3(dx, dy, dz)

def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​

说明: 对多参数函数进行柯里化。

TIP

有关函数柯里化，可参考函数式编程--柯理化（Currying）

参数:

  • func: 函数
  • *args: 参数

返回: 柯里化后的函数

示例:

python
def add(a: int, b: int, c: int) -> int:
+    return a + b + c
+add_curried = curry(add, 1, 2)
+add_curried(3)  # 6
源代码
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: 函数
+        *args: 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

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+ \ No newline at end of file diff --git a/api/mp_math/index.html b/api/mp_math/index.html index 16b7c97..58d46e9 100644 --- a/api/mp_math/index.html +++ b/api/mp_math/index.html @@ -3,22 +3,23 @@ - mbcp.mp_math | MBCP docs - + mbcp.mp_math | MBCP 文档 + - + + -
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mbcp.mp_math ​

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

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

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mbcp.mp_math ​

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

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

文档由 VitePress 构建 | API引用由 litedoc 生成

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+ \ No newline at end of file diff --git a/api/mp_math/line.html b/api/mp_math/line.html index 5631af6..8e7ad23 100644 --- a/api/mp_math/line.html +++ b/api/mp_math/line.html @@ -3,21 +3,22 @@ - mbcp.mp_math.line | MBCP docs - + mbcp.mp_math.line | MBCP 文档 + - + + -
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mbcp.mp_math.line ​

说明: 本模块定义了三维空间中的直线类

class Line3 ​

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

说明: 三维空间中的直线。由一个点和一个方向向量确定。

参数:

  • point: 直线上的一点
  • direction: 直线的方向向量
源代码
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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mbcp.mp_math.line ​
说明: 本模块定义了三维空间中的直线类
class Line3 ​
def __init__(self, point: Point3, direction: Vector3) ​
说明: 三维空间中的直线。由一个点和一个方向向量确定。
参数:
  • point: 直线上的一点
  • direction: 直线的方向向量
源代码
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
@@ -194,8 +195,8 @@
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
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-    
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

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+ \ No newline at end of file diff --git a/api/mp_math/mp_math.html b/api/mp_math/mp_math.html index a7c71be..450093f 100644 --- a/api/mp_math/mp_math.html +++ b/api/mp_math/mp_math.html @@ -3,22 +3,23 @@ - mbcp.mp_math | MBCP docs - + mbcp.mp_math | MBCP 文档 + - + + -
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mbcp.mp_math ​

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

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

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mbcp.mp_math ​

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

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

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+ \ No newline at end of file diff --git a/api/mp_math/mp_math_typing.html b/api/mp_math/mp_math_typing.html index cc6fe1e..36d90cd 100644 --- a/api/mp_math/mp_math_typing.html +++ b/api/mp_math/mp_math_typing.html @@ -3,22 +3,23 @@ - mbcp.mp_math.mp_math_typing | MBCP docs - + mbcp.mp_math.mp_math_typing | MBCP 文档 + - + + -
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mbcp.mp_math.mp_math_typing ​

说明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • 类型: TypeAlias

  • 说明: 实数

var Number = RealNumber | complex ​

  • 类型: TypeAlias

  • 说明: 数

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

  • 说明: 单变量

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

  • 说明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 类型: TypeAlias

  • 说明: 变量

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

  • 类型: TypeAlias

  • 说明: 一元单变量函数

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

  • 类型: TypeAlias

  • 说明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 类型: TypeAlias

  • 说明: 一元函数

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

  • 类型: TypeAlias

  • 说明: 二元单变量函数

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

  • 类型: TypeAlias

  • 说明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 类型: TypeAlias

  • 说明: 二元函数

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

  • 类型: TypeAlias

  • 说明: 三元单变量函数

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

  • 类型: TypeAlias

  • 说明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 类型: TypeAlias

  • 说明: 三元函数

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

  • 类型: TypeAlias

  • 说明: 多元单变量函数

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

  • 类型: TypeAlias

  • 说明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 类型: TypeAlias

  • 说明: 多元函数

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mbcp.mp_math.mp_math_typing ​

说明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • 类型: TypeAlias

  • 说明: 实数

var Number = RealNumber | complex ​

  • 类型: TypeAlias

  • 说明: 数

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

  • 说明: 单变量

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

  • 说明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 类型: TypeAlias

  • 说明: 变量

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

  • 类型: TypeAlias

  • 说明: 一元单变量函数

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

  • 类型: TypeAlias

  • 说明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 类型: TypeAlias

  • 说明: 一元函数

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

  • 类型: TypeAlias

  • 说明: 二元单变量函数

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

  • 类型: TypeAlias

  • 说明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 类型: TypeAlias

  • 说明: 二元函数

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

  • 类型: TypeAlias

  • 说明: 三元单变量函数

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

  • 类型: TypeAlias

  • 说明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 类型: TypeAlias

  • 说明: 三元函数

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

  • 类型: TypeAlias

  • 说明: 多元单变量函数

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

  • 类型: TypeAlias

  • 说明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 类型: TypeAlias

  • 说明: 多元函数

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+ \ No newline at end of file diff --git a/api/mp_math/plane.html b/api/mp_math/plane.html index b374a00..f958de4 100644 --- a/api/mp_math/plane.html +++ b/api/mp_math/plane.html @@ -3,21 +3,22 @@ - mbcp.mp_math.plane | MBCP docs - + mbcp.mp_math.plane | MBCP 文档 + - + + -
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mbcp.mp_math.plane ​

说明: 本模块定义了三维空间中的平面类

class Plane3 ​

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

说明: 平面方程：ax + by + cz + d = 0

参数:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源代码
python
def __init__(self, a: float, b: float, c: float, d: float):
+    
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mbcp.mp_math.plane ​
说明: 本模块定义了三维空间中的平面类
class Plane3 ​
def __init__(self, a: float, b: float, c: float, d: float) ​
说明: 平面方程：ax + by + cz + d = 0
参数:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源代码
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -212,8 +213,8 @@
     else:
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
def __eq__(self, other) -> bool ​
源代码
python
def __eq__(self, other) -> bool:
     return self.approx(other)
def __rand__(self, other: Line3) -> Point3 ​
源代码
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
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-    
+    return self.cal_intersection_point3(other)

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+ \ No newline at end of file diff --git a/api/mp_math/point.html b/api/mp_math/point.html index 7126434..3823cd7 100644 --- a/api/mp_math/point.html +++ b/api/mp_math/point.html @@ -3,21 +3,22 @@ - mbcp.mp_math.point | MBCP docs - + mbcp.mp_math.point | MBCP 文档 + - + + -
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mbcp.mp_math.point ​

说明: 本模块定义了三维空间中点的类。

class Point3 ​

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

说明: 笛卡尔坐标系中的点。

参数:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源代码
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.point ​
说明: 本模块定义了三维空间中点的类。
class Point3 ​
def __init__(self, x: float, y: float, z: float) ​
说明: 笛卡尔坐标系中的点。
参数:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源代码
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -67,8 +68,8 @@
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
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-    
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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+ \ No newline at end of file diff --git a/api/mp_math/segment.html b/api/mp_math/segment.html index d367119..fbfdab6 100644 --- a/api/mp_math/segment.html +++ b/api/mp_math/segment.html @@ -3,21 +3,22 @@ - mbcp.mp_math.segment | MBCP docs - + mbcp.mp_math.segment | MBCP 文档 + - + + -
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mbcp.mp_math.segment ​

说明: 本模块定义了三维空间中的线段类

class Segment3 ​

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

说明: 三维空间中的线段。 :param p1: :param p2:

源代码
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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mbcp.mp_math.segment ​
说明: 本模块定义了三维空间中的线段类
class Segment3 ​
def __init__(self, p1: Point3, p2: Point3) ​
说明: 三维空间中的线段。 :param p1: :param p2:
源代码
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -30,8 +31,8 @@
     '长度'
     self.length = self.direction.length
     '中心点'
-    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
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-    
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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+ \ No newline at end of file diff --git a/api/mp_math/utils.html b/api/mp_math/utils.html index 4a5c429..de95a48 100644 --- a/api/mp_math/utils.html +++ b/api/mp_math/utils.html @@ -3,21 +3,22 @@ - mbcp.mp_math.utils | MBCP docs - + mbcp.mp_math.utils | MBCP 文档 + - + + -
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mbcp.mp_math.utils ​

说明: 本模块定义了一些常用的工具函数

def clamp(x: float, min_: float, max_: float) -> float ​

说明: 区间限定函数

参数:

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

返回: 限制后的值

源代码
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
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mbcp.mp_math.utils ​
说明: 本模块定义了一些常用的工具函数
def clamp(x: float, min_: float, max_: float) -> float ​
说明: 区间限定函数
参数:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
返回: 限制后的值
源代码
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -80,8 +81,8 @@
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
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-    
+        return ''

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+ \ No newline at end of file diff --git a/api/mp_math/vector.html b/api/mp_math/vector.html index e68cdc5..c941895 100644 --- a/api/mp_math/vector.html +++ b/api/mp_math/vector.html @@ -3,21 +3,22 @@ - mbcp.mp_math.vector | MBCP docs - + mbcp.mp_math.vector | MBCP 文档 + - + + -
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mbcp.mp_math.vector ​

说明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

说明: 3维向量

参数:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源代码
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.vector ​
说明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
def __init__(self, x: float, y: float, z: float) ​
说明: 3维向量
参数:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源代码
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -203,8 +204,8 @@
         """
     return self.x * other.x + self.y * other.y + self.z * other.z
def self / other: RealNumber => Vector3 ​
源代码
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
     return Vector3(self.x / other, self.y / other, self.z / other)
def - self ​
源代码
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • 类型: Vector3
  • 说明: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • 类型: Vector3
  • 说明: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • 类型: Vector3
  • 说明: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • 类型: Vector3
  • 说明: z轴单位向量
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Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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

var zero_vector3 = Vector3(0, 0, 0) ​

  • 类型: Vector3

  • 说明: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • 类型: Vector3

  • 说明: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • 类型: Vector3

  • 说明: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • 类型: Vector3

  • 说明: z轴单位向量

文档由 VitePress 构建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/api/particle/index.html b/api/particle/index.html index 15b3dbd..8685e8a 100644 --- a/api/particle/index.html +++ b/api/particle/index.html @@ -3,22 +3,23 @@ - mbcp.particle | MBCP docs - + mbcp.particle | MBCP 文档 + - + + -
MBCP docs

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mbcp.particle ​

说明: 本模块定义了粒子生成相关的工具

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- +
MBCP 文档

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mbcp.particle ​

说明: 本模块定义了粒子生成相关的工具

文档由 VitePress 构建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/api/particle/particle.html b/api/particle/particle.html index 4d6e4c1..35a6b58 100644 --- a/api/particle/particle.html +++ b/api/particle/particle.html @@ -3,22 +3,23 @@ - mbcp.particle | MBCP docs - + mbcp.particle | MBCP 文档 + - + + -
MBCP docs

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mbcp.particle ​

说明: 本模块定义了粒子生成相关的工具

文档由 VitePress 构建 | API引用由 litedoc 生成

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

- +
MBCP 文档

简体中文

English
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繁體中文

简体中文

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繁體中文

Appearance

mbcp.particle ​

说明: 本模块定义了粒子生成相关的工具

文档由 VitePress 构建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/api/presets/index.html b/api/presets/index.html index 065415b..cd30ab2 100644 --- a/api/presets/index.html +++ b/api/presets/index.html @@ -3,22 +3,23 @@ - mbcp.presets | MBCP docs - + mbcp.presets | MBCP 文档 + - + + -
MBCP docs

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mbcp.presets ​

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

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

文档由 VitePress 构建 | API引用由 litedoc 生成

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- +
MBCP 文档

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mbcp.presets ​

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

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

文档由 VitePress 构建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/api/presets/model/index.html b/api/presets/model/index.html index 520dbf3..4cfafb3 100644 --- a/api/presets/model/index.html +++ b/api/presets/model/index.html @@ -3,21 +3,22 @@ - mbcp.presets.model | MBCP docs - + mbcp.presets.model | MBCP 文档 + - + + -
MBCP docs

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mbcp.presets.model ​

说明: 几何模型点集

class GeometricModels ​

@staticmethod

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

说明: 生成球体上的点集。

参数:

  • radius:
  • density:

返回: List[Point3]: 球体上的点集。

源代码
python
@staticmethod
+    
MBCP 文档
简体中文
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mbcp.presets.model ​
说明: 几何模型点集
class GeometricModels ​
@staticmethod
def sphere(radius: float, density: float) ​
说明: 生成球体上的点集。
参数:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源代码
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +35,8 @@
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
文档由 VitePress 构建 | API引用由 litedoc 生成
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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

文档由 VitePress 构建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/api/presets/model/model.html b/api/presets/model/model.html index 4064754..8d7191e 100644 --- a/api/presets/model/model.html +++ b/api/presets/model/model.html @@ -3,21 +3,22 @@ - mbcp.presets.model | MBCP docs - + mbcp.presets.model | MBCP 文档 + - + + -
MBCP docs

简体中文

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日本語
繁體中文

简体中文

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mbcp.presets.model ​

说明: 几何模型点集

class GeometricModels ​

@staticmethod

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

说明: 生成球体上的点集。

参数:

  • radius:
  • density:

返回: List[Point3]: 球体上的点集。

源代码
python
@staticmethod
+    
MBCP 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
mbcp.presets.model ​
说明: 几何模型点集
class GeometricModels ​
@staticmethod
def sphere(radius: float, density: float) ​
说明: 生成球体上的点集。
参数:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源代码
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +35,8 @@
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
文档由 VitePress 构建 | API引用由 litedoc 生成
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

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

文档由 VitePress 构建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/api/presets/presets.html b/api/presets/presets.html index 7113918..af37783 100644 --- a/api/presets/presets.html +++ b/api/presets/presets.html @@ -3,22 +3,23 @@ - mbcp.presets | MBCP docs - + mbcp.presets | MBCP 文档 + - + + -
MBCP docs

简体中文

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日本語
繁體中文

简体中文

English
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繁體中文

Appearance

mbcp.presets ​

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

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

文档由 VitePress 构建 | API引用由 litedoc 生成

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

- +
MBCP 文档

简体中文

English
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繁體中文

简体中文

English
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繁體中文

Appearance

mbcp.presets ​

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

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

文档由 VitePress 构建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/assets/api_mp_math_equation.md.DpRfW_6Z.js b/assets/api_mp_math_equation.md.B2FeM0MH.js similarity index 82% rename from assets/api_mp_math_equation.md.DpRfW_6Z.js rename to assets/api_mp_math_equation.md.B2FeM0MH.js index c9e00a8..be7c233 100644 --- a/assets/api_mp_math_equation.md.DpRfW_6Z.js +++ b/assets/api_mp_math_equation.md.B2FeM0MH.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),l={name:"api/mp_math/equation.md"},t=n(`

mbcp.mp_math.equation ​

说明: 本模块定义了方程相关的类和函数以及一些常用的数学函数

class CurveEquation ​

def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​

说明: 曲线方程。

参数:

源代码
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),l={name:"api/mp_math/equation.md"},t=n(`
mbcp.mp_math.equation ​
说明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
说明: 曲线方程。
参数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源代码
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -62,19 +62,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
说明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
参数:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源代码
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
-    """
-    对多参数函数进行柯里化。
-    > [!tip]
-    > 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: 函数
-        *args: 参数
-    Returns:
-        柯里化后的函数
-    """
-
-    def curried_func(*args2: Var) -> Var:
-        """@litedoc-hide"""
-        return func(*args, *args2)
-    return curried_func
`,30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default};
+        raise ValueError('Invalid var type')
`,23),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const u=s(l,[["render",h]]);export{F as __pageData,u as default}; diff --git a/assets/api_mp_math_equation.md.DpRfW_6Z.lean.js b/assets/api_mp_math_equation.md.B2FeM0MH.lean.js similarity index 54% rename from assets/api_mp_math_equation.md.DpRfW_6Z.lean.js rename to assets/api_mp_math_equation.md.B2FeM0MH.lean.js index c557191..57f0afc 100644 --- a/assets/api_mp_math_equation.md.DpRfW_6Z.lean.js +++ b/assets/api_mp_math_equation.md.B2FeM0MH.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),l={name:"api/mp_math/equation.md"},t=n("",30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"api/mp_math/equation.md","filePath":"zh/api/mp_math/equation.md"}'),l={name:"api/mp_math/equation.md"},t=n("",23),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const u=s(l,[["render",h]]);export{F as __pageData,u as default}; diff --git a/assets/api_mp_math_function.md.Cj4FyaYl.js b/assets/api_mp_math_function.md.BnSMoIoo.js similarity index 78% rename from assets/api_mp_math_function.md.Cj4FyaYl.js rename to assets/api_mp_math_function.md.BnSMoIoo.js index e994972..7201cde 100644 --- a/assets/api_mp_math_function.md.Cj4FyaYl.js +++ b/assets/api_mp_math_function.md.BnSMoIoo.js @@ -1,4 +1,4 @@ -import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":false},"headers":[],"relativePath":"api/mp_math/function.md","filePath":"zh/api/mp_math/function.md"}'),l={name:"api/mp_math/function.md"},n=a('

mbcp.mp_math.function ​

说明: AAA

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

说明: 计算三元函数在某点的梯度向量。

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

参数:

返回: 梯度

源代码
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+import{_ as l,c as t,j as s,a as n,a2 as a,o as i}from"./chunks/framework.C94oF1kp.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":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 ​
说明: AAA
def 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),k=[d],o=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),y=[c],u=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:
  • func: 三元函数
  • p: 点
  • epsilon: 偏移量
返回: 梯度
源代码
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -14,4 +14,29 @@ import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1
     dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
     dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
     dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
-    return Vector3(dx, dy, dz)
`,4);function L(C,H,M,Z,b,D){return Q(),s("div",null,[n,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(l,[["render",L]]);export{v as __pageData,V as default};
+    return Vector3(dx, dy, dz)

def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​

说明: 对多参数函数进行柯里化。

TIP

有关函数柯里化，可参考函数式编程--柯理化（Currying）

参数:

返回: 柯里化后的函数

示例:

python
def add(a: int, b: int, c: int) -> int:
+    return a + b + c
+add_curried = curry(add, 1, 2)
+add_curried(3)  # 6
源代码
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: 函数
+        *args: 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(L,b,H,B,M,D){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,k)),o]),n("，则其在点"),s("mjx-container",m,[(i(),t("svg",g,y)),u]),n("处的梯度向量为: "),s("mjx-container",E,[(i(),t("svg",F,_)),C])])]),w])}const A=l(e,[["render",x]]);export{Z as __pageData,A as default}; diff --git a/assets/api_mp_math_function.md.BnSMoIoo.lean.js b/assets/api_mp_math_function.md.BnSMoIoo.lean.js new file mode 100644 index 0000000..9270086 --- /dev/null +++ b/assets/api_mp_math_function.md.BnSMoIoo.lean.js @@ -0,0 +1 @@ +import{_ as l,c as t,j as s,a as n,a2 as a,o as i}from"./chunks/framework.C94oF1kp.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":false},"headers":[],"relativePath":"api/mp_math/function.md","filePath":"zh/api/mp_math/function.md"}'),e={name:"api/mp_math/function.md"},Q=a("",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),k=[d],o=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),y=[c],u=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("",13);function x(L,b,H,B,M,D){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,k)),o]),n("，则其在点"),s("mjx-container",m,[(i(),t("svg",g,y)),u]),n("处的梯度向量为: "),s("mjx-container",E,[(i(),t("svg",F,_)),C])])]),w])}const A=l(e,[["render",x]]);export{Z as __pageData,A as default}; diff --git a/assets/api_mp_math_function.md.Cj4FyaYl.lean.js b/assets/api_mp_math_function.md.Cj4FyaYl.lean.js deleted file mode 100644 index 9b33d81..0000000 --- a/assets/api_mp_math_function.md.Cj4FyaYl.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":false},"headers":[],"relativePath":"api/mp_math/function.md","filePath":"zh/api/mp_math/function.md"}'),l={name:"api/mp_math/function.md"},n=a("",4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a("",1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a("",1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a("",1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a("",4);function L(C,H,M,Z,b,D){return Q(),s("div",null,[n,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(l,[["render",L]]);export{v as __pageData,V as default}; diff --git a/assets/en_api_mp_math_equation.md.DqlD6s-6.js b/assets/en_api_mp_math_equation.md.vEMIOITc.js similarity index 82% rename from assets/en_api_mp_math_equation.md.DqlD6s-6.js rename to assets/en_api_mp_math_equation.md.vEMIOITc.js index e6a66b1..ed2589f 100644 --- a/assets/en_api_mp_math_equation.md.DqlD6s-6.js +++ b/assets/en_api_mp_math_equation.md.vEMIOITc.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":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 ​

Description: 本模块定义了方程相关的类和函数以及一些常用的数学函数

class CurveEquation ​

def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​

Description: 曲线方程。

Arguments:

Source code
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),l={name:"en/api/mp_math/equation.md"},t=n(`
mbcp.mp_math.equation ​
Description: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
Source code
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -62,19 +62,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
Description: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
Arguments:
  • func: 函数
  • *args: 参数
Return: 柯里化后的函数
Source code
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
-    """
-    对多参数函数进行柯里化。
-    > [!tip]
-    > 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: 函数
-        *args: 参数
-    Returns:
-        柯里化后的函数
-    """
-
-    def curried_func(*args2: Var) -> Var:
-        """@litedoc-hide"""
-        return func(*args, *args2)
-    return curried_func
`,30),p=[l];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default};
+        raise ValueError('Invalid var type')
`,23),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/en_api_mp_math_equation.md.DqlD6s-6.lean.js b/assets/en_api_mp_math_equation.md.vEMIOITc.lean.js similarity index 60% rename from assets/en_api_mp_math_equation.md.DqlD6s-6.lean.js rename to assets/en_api_mp_math_equation.md.vEMIOITc.lean.js index 2bb7492..82ba99e 100644 --- a/assets/en_api_mp_math_equation.md.DqlD6s-6.lean.js +++ b/assets/en_api_mp_math_equation.md.vEMIOITc.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":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("",30),p=[l];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(t,[["render",h]]);export{u as __pageData,F as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"en/api/mp_math/equation.md","filePath":"en/api/mp_math/equation.md"}'),l={name:"en/api/mp_math/equation.md"},t=n("",23),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default}; diff --git a/assets/en_api_mp_math_function.md.Bgn-YygZ.js b/assets/en_api_mp_math_function.md.BWhqj_9Y.js similarity index 78% rename from assets/en_api_mp_math_function.md.Bgn-YygZ.js rename to assets/en_api_mp_math_function.md.BWhqj_9Y.js index af447d5..0f9eb80 100644 --- a/assets/en_api_mp_math_function.md.Bgn-YygZ.js +++ b/assets/en_api_mp_math_function.md.BWhqj_9Y.js @@ -1,4 +1,4 @@ -import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":false},"headers":[],"relativePath":"en/api/mp_math/function.md","filePath":"en/api/mp_math/function.md"}'),n={name:"en/api/mp_math/function.md"},l=a('

mbcp.mp_math.function ​

Description: AAA

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

Description: 计算三元函数在某点的梯度向量。

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

Arguments:

Return: 梯度

Source code
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,a2 as a,o as i}from"./chunks/framework.C94oF1kp.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":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 ​
Description: AAA
def 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),k=[d],o=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),y=[c],u=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:
  • func: 三元函数
  • p: 点
  • epsilon: 偏移量
Return: 梯度
Source code
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -14,4 +14,29 @@ import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1
     dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
     dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
     dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
-    return Vector3(dx, dy, dz)
`,4);function L(C,H,M,Z,b,D){return Q(),s("div",null,[l,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(n,[["render",L]]);export{v as __pageData,V as default};
+    return Vector3(dx, dy, dz)

def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​

Description: 对多参数函数进行柯里化。

TIP

有关函数柯里化，可参考函数式编程--柯理化（Currying）

Arguments:

Return: 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
Source code
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: 函数
+        *args: 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
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diff --git a/assets/ja_api_mp_math_equation.md.Bt8bfjRZ.js b/assets/ja_api_mp_math_equation.md.D-4BBsnQ.js similarity index 82% rename from assets/ja_api_mp_math_equation.md.Bt8bfjRZ.js rename to assets/ja_api_mp_math_equation.md.D-4BBsnQ.js index ed705c0..77b7043 100644 --- a/assets/ja_api_mp_math_equation.md.Bt8bfjRZ.js +++ b/assets/ja_api_mp_math_equation.md.D-4BBsnQ.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),l={name:"ja/api/mp_math/equation.md"},t=n(`

mbcp.mp_math.equation ​

説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数

class CurveEquation ​

def __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
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),l={name:"ja/api/mp_math/equation.md"},t=n(`
mbcp.mp_math.equation ​
説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
ソースコード
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -62,19 +62,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
引数:
  • func: 函数
  • *args: 参数
戻り値: 柯里化后的函数
ソースコード
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
-    """
-    对多参数函数进行柯里化。
-    > [!tip]
-    > 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: 函数
-        *args: 参数
-    Returns:
-        柯里化后的函数
-    """
-
-    def curried_func(*args2: Var) -> Var:
-        """@litedoc-hide"""
-        return func(*args, *args2)
-    return curried_func
`,30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default};
+        raise ValueError('Invalid var type')
`,23),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const u=s(l,[["render",h]]);export{F as __pageData,u as default}; diff --git a/assets/ja_api_mp_math_equation.md.Bt8bfjRZ.lean.js b/assets/ja_api_mp_math_equation.md.D-4BBsnQ.lean.js similarity index 53% rename from assets/ja_api_mp_math_equation.md.Bt8bfjRZ.lean.js rename to assets/ja_api_mp_math_equation.md.D-4BBsnQ.lean.js index 3715c76..ef497b8 100644 --- a/assets/ja_api_mp_math_equation.md.Bt8bfjRZ.lean.js +++ b/assets/ja_api_mp_math_equation.md.D-4BBsnQ.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),l={name:"ja/api/mp_math/equation.md"},t=n("",30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"ja/api/mp_math/equation.md","filePath":"ja/api/mp_math/equation.md"}'),l={name:"ja/api/mp_math/equation.md"},t=n("",23),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const u=s(l,[["render",h]]);export{F as __pageData,u as default}; diff --git a/assets/ja_api_mp_math_function.md.Bx9H66-W.js b/assets/ja_api_mp_math_function.md.Bvf1U09A.js similarity index 78% rename from assets/ja_api_mp_math_function.md.Bx9H66-W.js rename to assets/ja_api_mp_math_function.md.Bvf1U09A.js index 556bda8..5283988 100644 --- a/assets/ja_api_mp_math_function.md.Bx9H66-W.js +++ b/assets/ja_api_mp_math_function.md.Bvf1U09A.js @@ -1,4 +1,4 @@ -import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":false},"headers":[],"relativePath":"ja/api/mp_math/function.md","filePath":"ja/api/mp_math/function.md"}'),l={name:"ja/api/mp_math/function.md"},n=a('

mbcp.mp_math.function ​

説明: AAA

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

説明: 计算三元函数在某点的梯度向量。

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

引数:

戻り値: 梯度

ソースコード
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,a2 as a,o as i}from"./chunks/framework.C94oF1kp.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":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 ​
説明: AAA
def 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),k=[d],o=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),y=[c],u=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:
  • func: 三元函数
  • p: 点
  • epsilon: 偏移量
戻り値: 梯度
ソースコード
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -14,4 +14,29 @@ import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1
     dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
     dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
     dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
-    return Vector3(dx, dy, dz)
`,4);function L(C,H,M,Z,b,D){return Q(),s("div",null,[n,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(l,[["render",L]]);export{v as __pageData,V as default};
+    return Vector3(dx, dy, dz)

def 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
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: 函数
+        *args: 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
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#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: 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var(--vp-c-purple-soft);--vp-c-warning-1: var(--vp-c-yellow-1);--vp-c-warning-2: var(--vp-c-yellow-2);--vp-c-warning-3: var(--vp-c-yellow-3);--vp-c-warning-soft: var(--vp-c-yellow-soft);--vp-c-danger-1: var(--vp-c-red-1);--vp-c-danger-2: var(--vp-c-red-2);--vp-c-danger-3: var(--vp-c-red-3);--vp-c-danger-soft: var(--vp-c-red-soft);--vp-c-caution-1: var(--vp-c-red-1);--vp-c-caution-2: var(--vp-c-red-2);--vp-c-caution-3: var(--vp-c-red-3);--vp-c-caution-soft: var(--vp-c-red-soft)}:root{--vp-font-family-base: "Inter", ui-sans-serif, system-ui, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji";--vp-font-family-mono: ui-monospace, "Menlo", "Monaco", "Consolas", "Liberation Mono", "Courier New", monospace;font-optical-sizing:auto}:root:where(:lang(zh)){--vp-font-family-base: "Punctuation SC", "Inter", ui-sans-serif, system-ui, "PingFang SC", "Noto Sans CJK SC", "Noto Sans SC", "Heiti SC", "Microsoft YaHei", "DengXian", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"}:root{--vp-shadow-1: 0 1px 2px rgba(0, 0, 0, .04), 0 1px 2px rgba(0, 0, 0, .06);--vp-shadow-2: 0 3px 12px rgba(0, 0, 0, .07), 0 1px 4px rgba(0, 0, 0, .07);--vp-shadow-3: 0 12px 32px rgba(0, 0, 0, .1), 0 2px 6px rgba(0, 0, 0, .08);--vp-shadow-4: 0 14px 44px rgba(0, 0, 0, .12), 0 3px 9px rgba(0, 0, 0, .12);--vp-shadow-5: 0 18px 56px rgba(0, 0, 0, .16), 0 4px 12px rgba(0, 0, 0, .16)}:root{--vp-z-index-footer: 10;--vp-z-index-local-nav: 20;--vp-z-index-nav: 30;--vp-z-index-layout-top: 40;--vp-z-index-backdrop: 50;--vp-z-index-sidebar: 60}@media (min-width: 960px){:root{--vp-z-index-sidebar: 25}}:root{--vp-layout-max-width: 1440px}:root{--vp-header-anchor-symbol: "#"}:root{--vp-code-line-height: 1.7;--vp-code-font-size: .875em;--vp-code-color: var(--vp-c-brand-1);--vp-code-link-color: var(--vp-c-brand-1);--vp-code-link-hover-color: var(--vp-c-brand-2);--vp-code-bg: var(--vp-c-default-soft);--vp-code-block-color: var(--vp-c-text-2);--vp-code-block-bg: var(--vp-c-bg-alt);--vp-code-block-divider-color: var(--vp-c-gutter);--vp-code-lang-color: var(--vp-c-text-3);--vp-code-line-highlight-color: var(--vp-c-default-soft);--vp-code-line-number-color: var(--vp-c-text-3);--vp-code-line-diff-add-color: var(--vp-c-success-soft);--vp-code-line-diff-add-symbol-color: var(--vp-c-success-1);--vp-code-line-diff-remove-color: var(--vp-c-danger-soft);--vp-code-line-diff-remove-symbol-color: var(--vp-c-danger-1);--vp-code-line-warning-color: var(--vp-c-warning-soft);--vp-code-line-error-color: var(--vp-c-danger-soft);--vp-code-copy-code-border-color: var(--vp-c-divider);--vp-code-copy-code-bg: var(--vp-c-bg-soft);--vp-code-copy-code-hover-border-color: var(--vp-c-divider);--vp-code-copy-code-hover-bg: var(--vp-c-bg);--vp-code-copy-code-active-text: var(--vp-c-text-2);--vp-code-copy-copied-text-content: "Copied";--vp-code-tab-divider: var(--vp-code-block-divider-color);--vp-code-tab-text-color: var(--vp-c-text-2);--vp-code-tab-bg: var(--vp-code-block-bg);--vp-code-tab-hover-text-color: var(--vp-c-text-1);--vp-code-tab-active-text-color: var(--vp-c-text-1);--vp-code-tab-active-bar-color: var(--vp-c-brand-1)}:root{--vp-button-brand-border: transparent;--vp-button-brand-text: var(--vp-c-white);--vp-button-brand-bg: var(--vp-c-brand-3);--vp-button-brand-hover-border: transparent;--vp-button-brand-hover-text: var(--vp-c-white);--vp-button-brand-hover-bg: var(--vp-c-brand-2);--vp-button-brand-active-border: transparent;--vp-button-brand-active-text: var(--vp-c-white);--vp-button-brand-active-bg: var(--vp-c-brand-1);--vp-button-alt-border: transparent;--vp-button-alt-text: var(--vp-c-text-1);--vp-button-alt-bg: var(--vp-c-default-3);--vp-button-alt-hover-border: transparent;--vp-button-alt-hover-text: var(--vp-c-text-1);--vp-button-alt-hover-bg: var(--vp-c-default-2);--vp-button-alt-active-border: transparent;--vp-button-alt-active-text: var(--vp-c-text-1);--vp-button-alt-active-bg: var(--vp-c-default-1);--vp-button-sponsor-border: var(--vp-c-text-2);--vp-button-sponsor-text: var(--vp-c-text-2);--vp-button-sponsor-bg: transparent;--vp-button-sponsor-hover-border: var(--vp-c-sponsor);--vp-button-sponsor-hover-text: var(--vp-c-sponsor);--vp-button-sponsor-hover-bg: transparent;--vp-button-sponsor-active-border: var(--vp-c-sponsor);--vp-button-sponsor-active-text: var(--vp-c-sponsor);--vp-button-sponsor-active-bg: transparent}:root{--vp-custom-block-font-size: 14px;--vp-custom-block-code-font-size: 13px;--vp-custom-block-info-border: transparent;--vp-custom-block-info-text: var(--vp-c-text-1);--vp-custom-block-info-bg: var(--vp-c-default-soft);--vp-custom-block-info-code-bg: var(--vp-c-default-soft);--vp-custom-block-note-border: transparent;--vp-custom-block-note-text: var(--vp-c-text-1);--vp-custom-block-note-bg: var(--vp-c-default-soft);--vp-custom-block-note-code-bg: var(--vp-c-default-soft);--vp-custom-block-tip-border: transparent;--vp-custom-block-tip-text: var(--vp-c-text-1);--vp-custom-block-tip-bg: var(--vp-c-tip-soft);--vp-custom-block-tip-code-bg: var(--vp-c-tip-soft);--vp-custom-block-important-border: transparent;--vp-custom-block-important-text: var(--vp-c-text-1);--vp-custom-block-important-bg: var(--vp-c-important-soft);--vp-custom-block-important-code-bg: var(--vp-c-important-soft);--vp-custom-block-warning-border: transparent;--vp-custom-block-warning-text: var(--vp-c-text-1);--vp-custom-block-warning-bg: var(--vp-c-warning-soft);--vp-custom-block-warning-code-bg: var(--vp-c-warning-soft);--vp-custom-block-danger-border: transparent;--vp-custom-block-danger-text: var(--vp-c-text-1);--vp-custom-block-danger-bg: var(--vp-c-danger-soft);--vp-custom-block-danger-code-bg: var(--vp-c-danger-soft);--vp-custom-block-caution-border: transparent;--vp-custom-block-caution-text: var(--vp-c-text-1);--vp-custom-block-caution-bg: var(--vp-c-caution-soft);--vp-custom-block-caution-code-bg: var(--vp-c-caution-soft);--vp-custom-block-details-border: var(--vp-custom-block-info-border);--vp-custom-block-details-text: var(--vp-custom-block-info-text);--vp-custom-block-details-bg: var(--vp-custom-block-info-bg);--vp-custom-block-details-code-bg: var(--vp-custom-block-info-code-bg)}:root{--vp-input-border-color: var(--vp-c-border);--vp-input-bg-color: var(--vp-c-bg-alt);--vp-input-switch-bg-color: var(--vp-c-default-soft)}:root{--vp-nav-height: 64px;--vp-nav-bg-color: var(--vp-c-bg);--vp-nav-screen-bg-color: var(--vp-c-bg);--vp-nav-logo-height: 24px}.hide-nav{--vp-nav-height: 0px}.hide-nav .VPSidebar{--vp-nav-height: 22px}:root{--vp-local-nav-bg-color: var(--vp-c-bg)}:root{--vp-sidebar-width: 272px;--vp-sidebar-bg-color: var(--vp-c-bg-alt)}:root{--vp-backdrop-bg-color: rgba(0, 0, 0, .6)}:root{--vp-home-hero-name-color: var(--vp-c-brand-1);--vp-home-hero-name-background: transparent;--vp-home-hero-image-background-image: none;--vp-home-hero-image-filter: none}:root{--vp-badge-info-border: transparent;--vp-badge-info-text: var(--vp-c-text-2);--vp-badge-info-bg: var(--vp-c-default-soft);--vp-badge-tip-border: transparent;--vp-badge-tip-text: var(--vp-c-tip-1);--vp-badge-tip-bg: var(--vp-c-tip-soft);--vp-badge-warning-border: transparent;--vp-badge-warning-text: var(--vp-c-warning-1);--vp-badge-warning-bg: var(--vp-c-warning-soft);--vp-badge-danger-border: transparent;--vp-badge-danger-text: var(--vp-c-danger-1);--vp-badge-danger-bg: var(--vp-c-danger-soft)}:root{--vp-carbon-ads-text-color: var(--vp-c-text-1);--vp-carbon-ads-poweredby-color: var(--vp-c-text-2);--vp-carbon-ads-bg-color: var(--vp-c-bg-soft);--vp-carbon-ads-hover-text-color: var(--vp-c-brand-1);--vp-carbon-ads-hover-poweredby-color: var(--vp-c-text-1)}:root{--vp-local-search-bg: var(--vp-c-bg);--vp-local-search-result-bg: var(--vp-c-bg);--vp-local-search-result-border: var(--vp-c-divider);--vp-local-search-result-selected-bg: 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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)}} diff --git a/assets/zht_api_mp_math_equation.md.Bn6MiQ1c.js b/assets/zht_api_mp_math_equation.md.BAr_ktNP.js similarity index 82% rename from assets/zht_api_mp_math_equation.md.Bn6MiQ1c.js rename to assets/zht_api_mp_math_equation.md.BAr_ktNP.js index 893d175..4301dee 100644 --- a/assets/zht_api_mp_math_equation.md.Bn6MiQ1c.js +++ b/assets/zht_api_mp_math_equation.md.BAr_ktNP.js @@ -1,4 +1,4 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),l={name:"zht/api/mp_math/equation.md"},t=n(`

mbcp.mp_math.equation ​

説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数

class CurveEquation ​

def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​

説明: 曲线方程。

變數説明:

源碼
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),l={name:"zht/api/mp_math/equation.md"},t=n(`
mbcp.mp_math.equation ​
説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源碼
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -62,19 +62,4 @@ import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
變數説明:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源碼
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
-    """
-    对多参数函数进行柯里化。
-    > [!tip]
-    > 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: 函数
-        *args: 参数
-    Returns:
-        柯里化后的函数
-    """
-
-    def curried_func(*args2: Var) -> Var:
-        """@litedoc-hide"""
-        return func(*args, *args2)
-    return curried_func
`,30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default};
+        raise ValueError('Invalid var type')
`,23),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const u=s(l,[["render",h]]);export{F as __pageData,u as default}; diff --git a/assets/zht_api_mp_math_equation.md.Bn6MiQ1c.lean.js b/assets/zht_api_mp_math_equation.md.BAr_ktNP.lean.js similarity index 53% rename from assets/zht_api_mp_math_equation.md.Bn6MiQ1c.lean.js rename to assets/zht_api_mp_math_equation.md.BAr_ktNP.lean.js index 6da5510..91e9901 100644 --- a/assets/zht_api_mp_math_equation.md.Bn6MiQ1c.lean.js +++ b/assets/zht_api_mp_math_equation.md.BAr_ktNP.lean.js @@ -1 +1 @@ -import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const u=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),l={name:"zht/api/mp_math/equation.md"},t=n("",30),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const F=s(l,[["render",h]]);export{u as __pageData,F as default}; +import{_ as s,c as i,o as a,a2 as n}from"./chunks/framework.C94oF1kp.js";const F=JSON.parse('{"title":"mbcp.mp_math.equation","description":"","frontmatter":{"title":"mbcp.mp_math.equation","editLink":false},"headers":[],"relativePath":"zht/api/mp_math/equation.md","filePath":"zht/api/mp_math/equation.md"}'),l={name:"zht/api/mp_math/equation.md"},t=n("",23),p=[t];function h(k,e,r,E,d,g){return a(),i("div",null,p)}const u=s(l,[["render",h]]);export{F as __pageData,u as default}; diff --git a/assets/zht_api_mp_math_function.md.C6pPUbwO.js b/assets/zht_api_mp_math_function.md.C2Gp7z0v.js similarity index 78% rename from assets/zht_api_mp_math_function.md.C6pPUbwO.js rename to assets/zht_api_mp_math_function.md.C2Gp7z0v.js index 21aa198..53b0939 100644 --- a/assets/zht_api_mp_math_function.md.C6pPUbwO.js +++ b/assets/zht_api_mp_math_function.md.C2Gp7z0v.js @@ -1,4 +1,4 @@ -import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":false},"headers":[],"relativePath":"zht/api/mp_math/function.md","filePath":"zht/api/mp_math/function.md"}'),l={name:"zht/api/mp_math/function.md"},n=a('

mbcp.mp_math.function ​

説明: AAA

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

説明: 计算三元函数在某点的梯度向量。

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

變數説明:

返回: 梯度

源碼
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,a2 as a,o as i}from"./chunks/framework.C94oF1kp.js";const Z=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":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 ​
説明: AAA
def 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。
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變數説明:
  • func: 三元函数
  • p: 点
  • epsilon: 偏移量
返回: 梯度
源碼
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -14,4 +14,29 @@ import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1
     dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
     dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
     dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
-    return Vector3(dx, dy, dz)
`,4);function L(C,H,M,Z,b,D){return Q(),s("div",null,[n,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(l,[["render",L]]);export{v as __pageData,V as default};
+    return Vector3(dx, dy, dz)

def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​

説明: 对多参数函数进行柯里化。

TIP

有关函数柯里化，可参考函数式编程--柯理化（Currying）

變數説明:

返回: 柯里化后的函数

範例:

python
def add(a: int, b: int, c: int) -> int:
+    return a + b + c
+add_curried = curry(add, 1, 2)
+add_curried(3)  # 6
源碼
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: 函数
+        *args: 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
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diff --git a/assets/zht_api_mp_math_function.md.C6pPUbwO.lean.js b/assets/zht_api_mp_math_function.md.C6pPUbwO.lean.js deleted file mode 100644 index b3cc230..0000000 --- a/assets/zht_api_mp_math_function.md.C6pPUbwO.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as i,c as s,j as t,a as T,a2 as a,o as Q}from"./chunks/framework.C94oF1kp.js";const v=JSON.parse('{"title":"mbcp.mp_math.function","description":"","frontmatter":{"title":"mbcp.mp_math.function","editLink":false},"headers":[],"relativePath":"zht/api/mp_math/function.md","filePath":"zht/api/mp_math/function.md"}'),l={name:"zht/api/mp_math/function.md"},n=a("",4),e={class:"tip custom-block github-alert"},h=t("p",{class:"custom-block-title"},"TIP",-1),r={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},d={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"8.471ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 3744.3 1000","aria-hidden":"true"},p=a("",1),o=[p],m=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("mi",null,"x"),t("mo",null,","),t("mi",null,"y"),t("mo",null,","),t("mi",null,"z"),t("mo",{stretchy:"false"},")")])],-1),k={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},g={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"10.19ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 4504 1000","aria-hidden":"true"},c=a("",1),y=[c],u=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")")])],-1),f={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},E={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-1.469ex"},xmlns:"http://www.w3.org/2000/svg",width:"29.427ex",height:"4.07ex",role:"img",focusable:"false",viewBox:"0 -1149.5 13006.8 1799","aria-hidden":"true"},F=a("",1),_=[F],w=t("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[t("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[t("mi",{mathvariant:"normal"},"∇"),t("mi",null,"f"),t("mo",{stretchy:"false"},"("),t("msub",null,[t("mi",null,"x"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"y"),t("mn",null,"0")]),t("mo",null,","),t("msub",null,[t("mi",null,"z"),t("mn",null,"0")]),t("mo",{stretchy:"false"},")"),t("mo",null,"="),t("mrow",{"data-mjx-texclass":"INNER"},[t("mo",{"data-mjx-texclass":"OPEN"},"("),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"x")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"y")])]),t("mo",null,","),t("mfrac",null,[t("mrow",null,[t("mi",null,"∂"),t("mi",null,"f")]),t("mrow",null,[t("mi",null,"∂"),t("mi",null,"z")])]),t("mo",{"data-mjx-texclass":"CLOSE"},")")])])],-1),x=a("",4);function L(C,H,M,Z,b,D){return Q(),s("div",null,[n,t("div",e,[h,t("p",null,[T("已知一个函数"),t("mjx-container",r,[(Q(),s("svg",d,o)),m]),T("，则其在点"),t("mjx-container",k,[(Q(),s("svg",g,y)),u]),T("处的梯度向量为: "),t("mjx-container",f,[(Q(),s("svg",E,_)),w])])]),x])}const V=i(l,[["render",L]]);export{v as __pageData,V as default}; diff --git a/assets/zht_index.md.V9U3SwDR.js b/assets/zht_index.md.V9U3SwDR.js deleted file mode 100644 index 2b0bb84..0000000 --- a/assets/zht_index.md.V9U3SwDR.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.C94oF1kp.js";const m=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"MBCP docs","text":"More basic change particle","tagline":"用於幾何運算和粒子製作的軟體庫","actions":[{"theme":"brand","text":"跟隨引導","link":"./guide/"},{"theme":"alt","text":"API文檔","link":"./api/"}]},"features":[{"title":"高度易用","details":"通過簡單的接口，實現了大部分幾何運算及粒子製作的需求"},{"title":"高度集成","details":"對numpy、scipy及sympy進行了封裝和集成，使腳本編寫像使用Geogebra一樣easy"},{"title":"內置預設","details":"提供了大量的預設，包括常見的幾何圖形、粒子效果等，便於快速生產"}]},"headers":[],"relativePath":"zht/index.md","filePath":"zht/index.md"}'),o={name:"zht/index.md"};function i(c,n,d,s,r,l){return a(),t("div")}const h=e(o,[["render",i]]);export{m as __pageData,h as default}; diff --git a/assets/zht_index.md.V9U3SwDR.lean.js b/assets/zht_index.md.V9U3SwDR.lean.js deleted file mode 100644 index 2b0bb84..0000000 --- a/assets/zht_index.md.V9U3SwDR.lean.js +++ /dev/null @@ -1 +0,0 @@ -import{_ as e,c as t,o as a}from"./chunks/framework.C94oF1kp.js";const m=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"MBCP docs","text":"More basic change particle","tagline":"用於幾何運算和粒子製作的軟體庫","actions":[{"theme":"brand","text":"跟隨引導","link":"./guide/"},{"theme":"alt","text":"API文檔","link":"./api/"}]},"features":[{"title":"高度易用","details":"通過簡單的接口，實現了大部分幾何運算及粒子製作的需求"},{"title":"高度集成","details":"對numpy、scipy及sympy進行了封裝和集成，使腳本編寫像使用Geogebra一樣easy"},{"title":"內置預設","details":"提供了大量的預設，包括常見的幾何圖形、粒子效果等，便於快速生產"}]},"headers":[],"relativePath":"zht/index.md","filePath":"zht/index.md"}'),o={name:"zht/index.md"};function i(c,n,d,s,r,l){return a(),t("div")}const h=e(o,[["render",i]]);export{m as __pageData,h as default}; diff --git a/assets/zht_index.md.VMjJ0lpj.js b/assets/zht_index.md.VMjJ0lpj.js new file mode 100644 index 0000000..b987739 --- /dev/null +++ b/assets/zht_index.md.VMjJ0lpj.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a}from"./chunks/framework.C94oF1kp.js";const p=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"MBCP","text":"更多基礎變化粒子","tagline":"用於幾何運算和 當個創世神 粒子製作的軟體庫","actions":[{"theme":"brand","text":"跟隨引導","link":"./guide/"},{"theme":"alt","text":"API文檔","link":"./api/"}],"image":{"src":"/mbcp-logo.svg","alt":"MBCP logo"}},"features":[{"title":"高度易用","details":"通過簡單的接口，實現了大部分幾何運算及粒子製作的需求"},{"title":"高度集成","details":"對numpy、scipy及sympy進行了封裝和集成，使腳本編寫像使用Geogebra一樣easy"},{"title":"內置預設","details":"提供了大量的預設，包括常見的幾何圖形、粒子效果等，便於快速生產"}]},"headers":[],"relativePath":"zht/index.md","filePath":"zht/index.md"}'),o={name:"zht/index.md"};function i(n,s,c,d,r,l){return a(),t("div")}const h=e(o,[["render",i]]);export{p as __pageData,h as default}; diff --git a/assets/zht_index.md.VMjJ0lpj.lean.js b/assets/zht_index.md.VMjJ0lpj.lean.js new file mode 100644 index 0000000..b987739 --- /dev/null +++ b/assets/zht_index.md.VMjJ0lpj.lean.js @@ -0,0 +1 @@ +import{_ as e,c as t,o as a}from"./chunks/framework.C94oF1kp.js";const p=JSON.parse('{"title":"","description":"","frontmatter":{"layout":"home","hero":{"name":"MBCP","text":"更多基礎變化粒子","tagline":"用於幾何運算和 當個創世神 粒子製作的軟體庫","actions":[{"theme":"brand","text":"跟隨引導","link":"./guide/"},{"theme":"alt","text":"API文檔","link":"./api/"}],"image":{"src":"/mbcp-logo.svg","alt":"MBCP logo"}},"features":[{"title":"高度易用","details":"通過簡單的接口，實現了大部分幾何運算及粒子製作的需求"},{"title":"高度集成","details":"對numpy、scipy及sympy進行了封裝和集成，使腳本編寫像使用Geogebra一樣easy"},{"title":"內置預設","details":"提供了大量的預設，包括常見的幾何圖形、粒子效果等，便於快速生產"}]},"headers":[],"relativePath":"zht/index.md","filePath":"zht/index.md"}'),o={name:"zht/index.md"};function i(n,s,c,d,r,l){return a(),t("div")}const h=e(o,[["render",i]]);export{p as __pageData,h as default}; diff --git a/demo/index.html b/demo/index.html index faf7ca1..d859f9b 100644 --- a/demo/index.html +++ b/demo/index.html @@ -3,22 +3,23 @@ - demo | MBCP docs - + demo | MBCP 文档 + - + + -
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+ \ No newline at end of file diff --git a/en/api/api.html b/en/api/api.html index e41ced5..0bac6da 100644 --- a/en/api/api.html +++ b/en/api/api.html @@ -4,21 +4,22 @@ mbcp | MBCP docs - + - + + -
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Description: 本模块塞了一些预设的粒子生成器

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Description: 本模块塞了一些预设的粒子生成器

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+ \ No newline at end of file diff --git a/en/api/index.html b/en/api/index.html index 28ebfd5..3da45c5 100644 --- a/en/api/index.html +++ b/en/api/index.html @@ -4,21 +4,22 @@ mbcp | MBCP docs - + - + + -
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Description: 本模块塞了一些预设的粒子生成器

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Description: 本模块塞了一些预设的粒子生成器

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+ \ No newline at end of file diff --git a/en/api/mp_math/angle.html b/en/api/mp_math/angle.html index 0a41abc..8104c6f 100644 --- a/en/api/mp_math/angle.html +++ b/en/api/mp_math/angle.html @@ -4,20 +4,21 @@ mbcp.mp_math.angle | MBCP docs - + - + + -
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mbcp.mp_math.angle ​

Description: 本模块定义了角度相关的类

class Angle ​

class AnyAngle(Angle) ​

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

Description: 任意角度。

Arguments:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code
python
def __init__(self, value: float, is_radian: bool=False):
+    
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mbcp.mp_math.angle ​
Description: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
def __init__(self, value: float, is_radian: bool = False) ​
Description: 任意角度。
Arguments:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
Source code
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -115,8 +116,8 @@
     ...
def self / other ​
Source code
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)
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-    
+    return AnyAngle(self.radian / other, is_radian=True)

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+ \ No newline at end of file diff --git a/en/api/mp_math/const.html b/en/api/mp_math/const.html index 13a73a7..fb943c2 100644 --- a/en/api/mp_math/const.html +++ b/en/api/mp_math/const.html @@ -4,21 +4,22 @@ mbcp.mp_math.const | MBCP docs - + - + + -
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mbcp.mp_math.const ​

Description: 本模块定义了一些常用的常量

var PI = math.pi ​

  • Description: 常量 π

var E = math.e ​

  • Description: 自然对数的底 exp(1)

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

  • Description: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • Description: 欧拉常数

var EPSILON = 0.0001 ​

  • Description: 精度误差

var APPROX = 0.001 ​

  • Description: 约等于判定误差

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mbcp.mp_math.const ​

Description: 本模块定义了一些常用的常量

var PI = math.pi ​

  • Description: 常量 π

var E = math.e ​

  • Description: 自然对数的底 exp(1)

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

  • Description: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • Description: 欧拉常数

var EPSILON = 0.0001 ​

  • Description: 精度误差

var APPROX = 0.001 ​

  • Description: 约等于判定误差

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+ \ No newline at end of file diff --git a/en/api/mp_math/equation.html b/en/api/mp_math/equation.html index 99da420..8e17bd3 100644 --- a/en/api/mp_math/equation.html +++ b/en/api/mp_math/equation.html @@ -4,20 +4,21 @@ mbcp.mp_math.equation | MBCP docs - + - + - + + -
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mbcp.mp_math.equation ​

Description: 本模块定义了方程相关的类和函数以及一些常用的数学函数

class CurveEquation ​

def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​

Description: 曲线方程。

Arguments:

  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
Source code
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    
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mbcp.mp_math.equation ​
Description: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
Description: 曲线方程。
Arguments:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
Source code
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -81,23 +82,8 @@
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
Description: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
Arguments:
  • func: 函数
  • *args: 参数
Return: 柯里化后的函数
Source code
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
-    """
-    对多参数函数进行柯里化。
-    > [!tip]
-    > 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: 函数
-        *args: 参数
-    Returns:
-        柯里化后的函数
-    """
-
-    def curried_func(*args2: Var) -> Var:
-        """@litedoc-hide"""
-        return func(*args, *args2)
-    return curried_func
Documentation built with VitePress | API references generated by litedoc
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-    
+        raise ValueError('Invalid var type')

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+ \ No newline at end of file diff --git a/en/api/mp_math/function.html b/en/api/mp_math/function.html index 0976698..75a7973 100644 --- a/en/api/mp_math/function.html +++ b/en/api/mp_math/function.html @@ -4,20 +4,21 @@ mbcp.mp_math.function | MBCP docs - + - + - + + -
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mbcp.mp_math.function ​

Description: AAA

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

Description: 计算三元函数在某点的梯度向量。

TIP

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

Arguments:

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

Return: 梯度

Source code
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    
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mbcp.mp_math.function ​
Description: AAA
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
Description: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
Arguments:
  • func: 三元函数
  • p: 点
  • epsilon: 偏移量
Return: 梯度
Source code
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -33,8 +34,33 @@
     dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
     dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
     dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
-    return Vector3(dx, dy, dz)
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-    
+    return Vector3(dx, dy, dz)

def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​

Description: 对多参数函数进行柯里化。

TIP

有关函数柯里化，可参考函数式编程--柯理化（Currying）

Arguments:

  • func: 函数
  • *args: 参数

Return: 柯里化后的函数

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
Source code
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: 函数
+        *args: 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

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+ \ No newline at end of file diff --git a/en/api/mp_math/index.html b/en/api/mp_math/index.html index fad1c63..4098a66 100644 --- a/en/api/mp_math/index.html +++ b/en/api/mp_math/index.html @@ -4,21 +4,22 @@ mbcp.mp_math | MBCP docs - + - + + -
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mbcp.mp_math ​

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

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

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mbcp.mp_math ​

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

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

Documentation built with VitePress | API references generated by litedoc

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

+ \ No newline at end of file diff --git a/en/api/mp_math/line.html b/en/api/mp_math/line.html index 3bddd37..66833a7 100644 --- a/en/api/mp_math/line.html +++ b/en/api/mp_math/line.html @@ -4,20 +4,21 @@ mbcp.mp_math.line | MBCP docs - + - + + -
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mbcp.mp_math.line ​

Description: 本模块定义了三维空间中的直线类

class Line3 ​

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

Description: 三维空间中的直线。由一个点和一个方向向量确定。

Arguments:

  • point: 直线上的一点
  • direction: 直线的方向向量
Source code
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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mbcp.mp_math.line ​
Description: 本模块定义了三维空间中的直线类
class Line3 ​
def __init__(self, point: Point3, direction: Vector3) ​
Description: 三维空间中的直线。由一个点和一个方向向量确定。
Arguments:
  • point: 直线上的一点
  • direction: 直线的方向向量
Source code
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
@@ -194,8 +195,8 @@
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
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-    
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

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+ \ No newline at end of file diff --git a/en/api/mp_math/mp_math.html b/en/api/mp_math/mp_math.html index 378ee82..b3b0dd3 100644 --- a/en/api/mp_math/mp_math.html +++ b/en/api/mp_math/mp_math.html @@ -4,21 +4,22 @@ mbcp.mp_math | MBCP docs - + - + + -
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mbcp.mp_math ​

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

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

Documentation built with VitePress | API references generated by litedoc

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mbcp.mp_math ​

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

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

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/mp_math_typing.html b/en/api/mp_math/mp_math_typing.html index ed8f887..5b128d1 100644 --- a/en/api/mp_math/mp_math_typing.html +++ b/en/api/mp_math/mp_math_typing.html @@ -4,21 +4,22 @@ mbcp.mp_math.mp_math_typing | MBCP docs - + - + + -
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mbcp.mp_math.mp_math_typing ​

Description: 本模块用于内部类型提示

var RealNumber = int | float ​

  • Type: TypeAlias

  • Description: 实数

var Number = RealNumber | complex ​

  • Type: TypeAlias

  • Description: 数

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

  • Description: 单变量

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

  • Description: 数组变量

var Var = SingleVar | ArrayVar ​

  • Type: TypeAlias

  • Description: 变量

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

  • Type: TypeAlias

  • Description: 一元单变量函数

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

  • Type: TypeAlias

  • Description: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • Type: TypeAlias

  • Description: 一元函数

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

  • Type: TypeAlias

  • Description: 二元单变量函数

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

  • Type: TypeAlias

  • Description: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • Type: TypeAlias

  • Description: 二元函数

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

  • Type: TypeAlias

  • Description: 三元单变量函数

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

  • Type: TypeAlias

  • Description: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • Type: TypeAlias

  • Description: 三元函数

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

  • Type: TypeAlias

  • Description: 多元单变量函数

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

  • Type: TypeAlias

  • Description: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • Type: TypeAlias

  • Description: 多元函数

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mbcp.mp_math.mp_math_typing ​

Description: 本模块用于内部类型提示

var RealNumber = int | float ​

  • Type: TypeAlias

  • Description: 实数

var Number = RealNumber | complex ​

  • Type: TypeAlias

  • Description: 数

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

  • Description: 单变量

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

  • Description: 数组变量

var Var = SingleVar | ArrayVar ​

  • Type: TypeAlias

  • Description: 变量

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

  • Type: TypeAlias

  • Description: 一元单变量函数

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

  • Type: TypeAlias

  • Description: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • Type: TypeAlias

  • Description: 一元函数

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

  • Type: TypeAlias

  • Description: 二元单变量函数

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

  • Type: TypeAlias

  • Description: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • Type: TypeAlias

  • Description: 二元函数

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

  • Type: TypeAlias

  • Description: 三元单变量函数

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

  • Type: TypeAlias

  • Description: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • Type: TypeAlias

  • Description: 三元函数

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

  • Type: TypeAlias

  • Description: 多元单变量函数

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

  • Type: TypeAlias

  • Description: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • Type: TypeAlias

  • Description: 多元函数

Documentation built with VitePress | API references generated by litedoc

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+ \ No newline at end of file diff --git a/en/api/mp_math/plane.html b/en/api/mp_math/plane.html index f49a01b..b549a3d 100644 --- a/en/api/mp_math/plane.html +++ b/en/api/mp_math/plane.html @@ -4,20 +4,21 @@ mbcp.mp_math.plane | MBCP docs - + - + + -
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mbcp.mp_math.plane ​

Description: 本模块定义了三维空间中的平面类

class Plane3 ​

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

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

Arguments:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
Source code
python
def __init__(self, a: float, b: float, c: float, d: float):
+    
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mbcp.mp_math.plane ​
Description: 本模块定义了三维空间中的平面类
class Plane3 ​
def __init__(self, a: float, b: float, c: float, d: float) ​
Description: 平面方程：ax + by + cz + d = 0
Arguments:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
Source code
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -212,8 +213,8 @@
     else:
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
def __eq__(self, other) -> bool ​
Source code
python
def __eq__(self, other) -> bool:
     return self.approx(other)
def __rand__(self, other: Line3) -> Point3 ​
Source code
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
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-    
+    return self.cal_intersection_point3(other)

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+ \ No newline at end of file diff --git a/en/api/mp_math/point.html b/en/api/mp_math/point.html index 2463a0c..205ab70 100644 --- a/en/api/mp_math/point.html +++ b/en/api/mp_math/point.html @@ -4,20 +4,21 @@ mbcp.mp_math.point | MBCP docs - + - + + -
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mbcp.mp_math.point ​

Description: 本模块定义了三维空间中点的类。

class Point3 ​

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

Description: 笛卡尔坐标系中的点。

Arguments:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
Source code
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.point ​
Description: 本模块定义了三维空间中点的类。
class Point3 ​
def __init__(self, x: float, y: float, z: float) ​
Description: 笛卡尔坐标系中的点。
Arguments:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
Source code
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -67,8 +68,8 @@
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
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-    
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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+ \ No newline at end of file diff --git a/en/api/mp_math/segment.html b/en/api/mp_math/segment.html index 996b156..d4fcc9a 100644 --- a/en/api/mp_math/segment.html +++ b/en/api/mp_math/segment.html @@ -4,20 +4,21 @@ mbcp.mp_math.segment | MBCP docs - + - + + -
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mbcp.mp_math.segment ​

Description: 本模块定义了三维空间中的线段类

class Segment3 ​

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

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

Source code
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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mbcp.mp_math.segment ​
Description: 本模块定义了三维空间中的线段类
class Segment3 ​
def __init__(self, p1: Point3, p2: Point3) ​
Description: 三维空间中的线段。 :param p1: :param p2:
Source code
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -30,8 +31,8 @@
     '长度'
     self.length = self.direction.length
     '中心点'
-    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
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-    
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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+ \ No newline at end of file diff --git a/en/api/mp_math/utils.html b/en/api/mp_math/utils.html index c386e6c..6b8d57d 100644 --- a/en/api/mp_math/utils.html +++ b/en/api/mp_math/utils.html @@ -4,20 +4,21 @@ mbcp.mp_math.utils | MBCP docs - + - + + -
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mbcp.mp_math.utils ​

Description: 本模块定义了一些常用的工具函数

def clamp(x: float, min_: float, max_: float) -> float ​

Description: 区间限定函数

Arguments:

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

Return: 限制后的值

Source code
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
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mbcp.mp_math.utils ​
Description: 本模块定义了一些常用的工具函数
def clamp(x: float, min_: float, max_: float) -> float ​
Description: 区间限定函数
Arguments:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
Return: 限制后的值
Source code
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -80,8 +81,8 @@
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
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-    
+        return ''

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+ \ No newline at end of file diff --git a/en/api/mp_math/vector.html b/en/api/mp_math/vector.html index b2c3493..599447b 100644 --- a/en/api/mp_math/vector.html +++ b/en/api/mp_math/vector.html @@ -4,20 +4,21 @@ mbcp.mp_math.vector | MBCP docs - + - + + -
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mbcp.mp_math.vector ​

Description: 本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

Description: 3维向量

Arguments:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
Source code
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.vector ​
Description: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
def __init__(self, x: float, y: float, z: float) ​
Description: 3维向量
Arguments:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
Source code
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -203,8 +204,8 @@
         """
     return self.x * other.x + self.y * other.y + self.z * other.z
def self / other: RealNumber => Vector3 ​
Source code
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
     return Vector3(self.x / other, self.y / other, self.z / other)
def - self ​
Source code
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • Type: Vector3
  • Description: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • Type: Vector3
  • Description: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • Type: Vector3
  • Description: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • Type: Vector3
  • Description: z轴单位向量
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-    
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • Type: Vector3

  • Description: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • Type: Vector3

  • Description: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • Type: Vector3

  • Description: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • Type: Vector3

  • Description: z轴单位向量

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+ \ No newline at end of file diff --git a/en/api/particle/index.html b/en/api/particle/index.html index 30a6a7e..d65aa49 100644 --- a/en/api/particle/index.html +++ b/en/api/particle/index.html @@ -4,21 +4,22 @@ mbcp.particle | MBCP docs - + - + + -
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Description: 本模块定义了粒子生成相关的工具

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Description: 本模块定义了粒子生成相关的工具

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+ \ No newline at end of file diff --git a/en/api/particle/particle.html b/en/api/particle/particle.html index 131281c..83f37db 100644 --- a/en/api/particle/particle.html +++ b/en/api/particle/particle.html @@ -4,21 +4,22 @@ mbcp.particle | MBCP docs - + - + + -
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Description: 本模块定义了粒子生成相关的工具

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Description: 本模块定义了粒子生成相关的工具

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

+ \ No newline at end of file diff --git a/en/api/presets/index.html b/en/api/presets/index.html index f9ac334..bfaa96a 100644 --- a/en/api/presets/index.html +++ b/en/api/presets/index.html @@ -4,21 +4,22 @@ mbcp.presets | MBCP docs - + - + + -
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mbcp.presets ​

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

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

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

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

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+ \ No newline at end of file diff --git a/en/api/presets/model/index.html b/en/api/presets/model/index.html index e5952bb..19ca9e8 100644 --- a/en/api/presets/model/index.html +++ b/en/api/presets/model/index.html @@ -4,20 +4,21 @@ mbcp.presets.model | MBCP docs - + - + + -
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mbcp.presets.model ​

Description: 几何模型点集

class GeometricModels ​

@staticmethod

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

Description: 生成球体上的点集。

Arguments:

  • radius:
  • density:

Return: List[Point3]: 球体上的点集。

Source code
python
@staticmethod
+    
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mbcp.presets.model ​
Description: 几何模型点集
class GeometricModels ​
@staticmethod
def sphere(radius: float, density: float) ​
Description: 生成球体上的点集。
Arguments:
  • radius:
  • density:
Return: List[Point3]: 球体上的点集。
Source code
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +35,8 @@
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
Documentation built with VitePress | API references generated by litedoc
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-    
+    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

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+ \ No newline at end of file diff --git a/en/api/presets/model/model.html b/en/api/presets/model/model.html index 1d8e979..b1481a0 100644 --- a/en/api/presets/model/model.html +++ b/en/api/presets/model/model.html @@ -4,20 +4,21 @@ mbcp.presets.model | MBCP docs - + - + + -
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mbcp.presets.model ​

Description: 几何模型点集

class GeometricModels ​

@staticmethod

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

Description: 生成球体上的点集。

Arguments:

  • radius:
  • density:

Return: List[Point3]: 球体上的点集。

Source code
python
@staticmethod
+    
MBCP docs
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mbcp.presets.model ​
Description: 几何模型点集
class GeometricModels ​
@staticmethod
def sphere(radius: float, density: float) ​
Description: 生成球体上的点集。
Arguments:
  • radius:
  • density:
Return: List[Point3]: 球体上的点集。
Source code
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +35,8 @@
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
Documentation built with VitePress | API references generated by litedoc
Copyright (C) 2020-2024 SnowyKami. All Rights Reserved

-    
+    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

+ \ No newline at end of file diff --git a/en/api/presets/presets.html b/en/api/presets/presets.html index da2e64b..e7b16ea 100644 --- a/en/api/presets/presets.html +++ b/en/api/presets/presets.html @@ -4,21 +4,22 @@ mbcp.presets | MBCP docs - + - + + -
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mbcp.presets ​

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

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

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

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

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/guide/index.html b/en/guide/index.html index ff3238b..3b695d7 100644 --- a/en/guide/index.html +++ b/en/guide/index.html @@ -4,21 +4,22 @@ 开始不了一点 | MBCP docs - + - + + -
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+ \ No newline at end of file diff --git a/en/index.html b/en/index.html index 2b0daf2..b6f1dcd 100644 --- a/en/index.html +++ b/en/index.html @@ -4,21 +4,22 @@ MBCP docs - + - + - + + -
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More basic change particle

A Library for Python to create particle effects and geometric figures

Get Started
API Reference

Easy to use

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

Integrated

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

Rich presets

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

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MBCP

More basic change particle

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

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API Reference
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

+ \ No newline at end of file diff --git a/en/refer/index.html b/en/refer/index.html index 088cd12..2c5c827 100644 --- a/en/refer/index.html +++ b/en/refer/index.html @@ -4,21 +4,22 @@ Reference | MBCP docs - + - + + -
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Reference ​

help us to improve the documentation

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help us to improve the documentation

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+ \ No newline at end of file diff --git a/guide/index.html b/guide/index.html index a4ea245..5435f76 100644 --- a/guide/index.html +++ b/guide/index.html @@ -3,22 +3,23 @@ - 开始不了一点 | MBCP docs - + 开始不了一点 | MBCP 文档 + - + + -
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+ \ No newline at end of file diff --git a/hashmap.json b/hashmap.json index b318702..4ebd454 100644 --- a/hashmap.json +++ b/hashmap.json @@ -1 +1 @@ -{"api_api.md":"D_B0Hlcp","api_index.md":"C_wESrrY","api_mp_math_angle.md":"vKQLLqTS","api_mp_math_const.md":"BAf8mK4W","api_mp_math_equation.md":"DpRfW_6Z","api_mp_math_function.md":"Cj4FyaYl","api_mp_math_index.md":"BNf7bQqL","api_mp_math_line.md":"DPWL9O-M","api_mp_math_mp_math.md":"GlFMkWiQ","api_mp_math_mp_math_typing.md":"DlnJmkos","api_mp_math_plane.md":"DTAJAb0P","api_mp_math_point.md":"vtgIded6","api_mp_math_segment.md":"D-8aRB8W","api_mp_math_utils.md":"DaaoR634","api_mp_math_vector.md":"BTnPeAKR","api_particle_index.md":"Cm3Vk-es","api_particle_particle.md":"yD6tcNSr","api_presets_index.md":"CD62I2gv","api_presets_model_index.md":"gO0Notp6","api_presets_model_model.md":"s8f68j_n","api_presets_presets.md":"4R0VRbQo","demo_index.md":"D-H9zRUE","en_api_api.md":"BSgrCX1d","en_api_index.md":"Dj_5nFTt","en_api_mp_math_angle.md":"Bu07wjnV","en_api_mp_math_const.md":"gGpXUShq","en_api_mp_math_equation.md":"DqlD6s-6","en_api_mp_math_function.md":"Bgn-YygZ","en_api_mp_math_index.md":"BEjLBMpH","en_api_mp_math_line.md":"BGq09mco","en_api_mp_math_mp_math.md":"D6ihYPav","en_api_mp_math_mp_math_typing.md":"Dnl2aJQ4","en_api_mp_math_plane.md":"C3KPGKE4","en_api_mp_math_point.md":"D7ZdR7VM","en_api_mp_math_segment.md":"DMW-YUfw","en_api_mp_math_utils.md":"B3i5gz_2","en_api_mp_math_vector.md":"CgtIoM4A","en_api_particle_index.md":"BfyNQiRg","en_api_particle_particle.md":"BNkfEyJn","en_api_presets_index.md":"BWb2fpTg","en_api_presets_model_index.md":"pbEu-669","en_api_presets_model_model.md":"CL5uKZbj","en_api_presets_presets.md":"CCUzsYog","en_guide_index.md":"DrDHTYCZ","en_index.md":"MCm69eyE","en_refer_index.md":"alw4L-bp","guide_index.md":"Cfmzk2IH","index.md":"BjJ9-kbE","ja_api_api.md":"CPz58qIw","ja_api_index.md":"CnUeuifx","ja_api_mp_math_angle.md":"DTK1PNuJ","ja_api_mp_math_const.md":"DGXAgDfn","ja_api_mp_math_equation.md":"Bt8bfjRZ","ja_api_mp_math_function.md":"Bx9H66-W","ja_api_mp_math_index.md":"CTZZ-p9Z","ja_api_mp_math_line.md":"DYJV4KNE","ja_api_mp_math_mp_math.md":"D-prC0UO","ja_api_mp_math_mp_math_typing.md":"BNymgrCT","ja_api_mp_math_plane.md":"D-yHaxP-","ja_api_mp_math_point.md":"DjHRkHI5","ja_api_mp_math_segment.md":"37V8kAc1","ja_api_mp_math_utils.md":"BbdhM1tp","ja_api_mp_math_vector.md":"BBVnCwJa","ja_api_particle_index.md":"Jr41Y3TS","ja_api_particle_particle.md":"exTt46pq","ja_api_presets_index.md":"CQqdQbIZ","ja_api_presets_model_index.md":"C-Ypf-qh","ja_api_presets_model_model.md":"Dwbc1qIc","ja_api_presets_presets.md":"DwzXdDqR","ja_guide_index.md":"BxGnZYwR","ja_index.md":"CtozMsIU","ja_refer_index.md":"CODW6iMX","refer_function_curry.md":"DwKZawp5","refer_function_function.md":"D3IgfZX2","refer_index.md":"CczYTl3j","zht_api_api.md":"DyUSHA0S","zht_api_index.md":"CgZH6aHQ","zht_api_mp_math_angle.md":"lzcXwnW6","zht_api_mp_math_const.md":"xwQvuYck","zht_api_mp_math_equation.md":"Bn6MiQ1c","zht_api_mp_math_function.md":"C6pPUbwO","zht_api_mp_math_index.md":"mmeMMriu","zht_api_mp_math_line.md":"DX62bgjZ","zht_api_mp_math_mp_math.md":"C302rxKc","zht_api_mp_math_mp_math_typing.md":"CNiSnuMw","zht_api_mp_math_plane.md":"DJ_9NQFz","zht_api_mp_math_point.md":"D1nAiRP0","zht_api_mp_math_segment.md":"CMRey-MG","zht_api_mp_math_utils.md":"BDpW2Fd4","zht_api_mp_math_vector.md":"DGVOQo3Y","zht_api_particle_index.md":"8GaGB1ul","zht_api_particle_particle.md":"huuRTEb9","zht_api_presets_index.md":"DvOViSox","zht_api_presets_model_index.md":"BJWX_k6K","zht_api_presets_model_model.md":"CNI4ubOh","zht_api_presets_presets.md":"CsDHjRbK","zht_guide_index.md":"CsuFVFxu","zht_index.md":"V9U3SwDR","zht_refer_index.md":"Bz6voxEQ"} +{"api_api.md":"D_B0Hlcp","api_index.md":"C_wESrrY","api_mp_math_angle.md":"vKQLLqTS","api_mp_math_const.md":"BAf8mK4W","api_mp_math_equation.md":"B2FeM0MH","api_mp_math_function.md":"BnSMoIoo","api_mp_math_index.md":"BNf7bQqL","api_mp_math_line.md":"DPWL9O-M","api_mp_math_mp_math.md":"GlFMkWiQ","api_mp_math_mp_math_typing.md":"DlnJmkos","api_mp_math_plane.md":"DTAJAb0P","api_mp_math_point.md":"vtgIded6","api_mp_math_segment.md":"D-8aRB8W","api_mp_math_utils.md":"DaaoR634","api_mp_math_vector.md":"BTnPeAKR","api_particle_index.md":"Cm3Vk-es","api_particle_particle.md":"yD6tcNSr","api_presets_index.md":"CD62I2gv","api_presets_model_index.md":"gO0Notp6","api_presets_model_model.md":"s8f68j_n","api_presets_presets.md":"4R0VRbQo","demo_index.md":"D-H9zRUE","en_api_api.md":"BSgrCX1d","en_api_index.md":"Dj_5nFTt","en_api_mp_math_angle.md":"Bu07wjnV","en_api_mp_math_const.md":"gGpXUShq","en_api_mp_math_equation.md":"vEMIOITc","en_api_mp_math_function.md":"BWhqj_9Y","en_api_mp_math_index.md":"BEjLBMpH","en_api_mp_math_line.md":"BGq09mco","en_api_mp_math_mp_math.md":"D6ihYPav","en_api_mp_math_mp_math_typing.md":"Dnl2aJQ4","en_api_mp_math_plane.md":"C3KPGKE4","en_api_mp_math_point.md":"D7ZdR7VM","en_api_mp_math_segment.md":"DMW-YUfw","en_api_mp_math_utils.md":"B3i5gz_2","en_api_mp_math_vector.md":"CgtIoM4A","en_api_particle_index.md":"BfyNQiRg","en_api_particle_particle.md":"BNkfEyJn","en_api_presets_index.md":"BWb2fpTg","en_api_presets_model_index.md":"pbEu-669","en_api_presets_model_model.md":"CL5uKZbj","en_api_presets_presets.md":"CCUzsYog","en_guide_index.md":"DrDHTYCZ","en_index.md":"BSTSOH39","en_refer_index.md":"alw4L-bp","guide_index.md":"Cfmzk2IH","index.md":"CNF8LJa0","ja_api_api.md":"CPz58qIw","ja_api_index.md":"CnUeuifx","ja_api_mp_math_angle.md":"DTK1PNuJ","ja_api_mp_math_const.md":"DGXAgDfn","ja_api_mp_math_equation.md":"D-4BBsnQ","ja_api_mp_math_function.md":"Bvf1U09A","ja_api_mp_math_index.md":"CTZZ-p9Z","ja_api_mp_math_line.md":"DYJV4KNE","ja_api_mp_math_mp_math.md":"D-prC0UO","ja_api_mp_math_mp_math_typing.md":"BNymgrCT","ja_api_mp_math_plane.md":"D-yHaxP-","ja_api_mp_math_point.md":"DjHRkHI5","ja_api_mp_math_segment.md":"37V8kAc1","ja_api_mp_math_utils.md":"BbdhM1tp","ja_api_mp_math_vector.md":"BBVnCwJa","ja_api_particle_index.md":"Jr41Y3TS","ja_api_particle_particle.md":"exTt46pq","ja_api_presets_index.md":"CQqdQbIZ","ja_api_presets_model_index.md":"C-Ypf-qh","ja_api_presets_model_model.md":"Dwbc1qIc","ja_api_presets_presets.md":"DwzXdDqR","ja_guide_index.md":"BxGnZYwR","ja_index.md":"DCWiTENz","ja_refer_index.md":"CODW6iMX","refer_function_curry.md":"DwKZawp5","refer_function_function.md":"D3IgfZX2","refer_index.md":"CczYTl3j","zht_api_api.md":"DyUSHA0S","zht_api_index.md":"CgZH6aHQ","zht_api_mp_math_angle.md":"lzcXwnW6","zht_api_mp_math_const.md":"xwQvuYck","zht_api_mp_math_equation.md":"BAr_ktNP","zht_api_mp_math_function.md":"C2Gp7z0v","zht_api_mp_math_index.md":"mmeMMriu","zht_api_mp_math_line.md":"DX62bgjZ","zht_api_mp_math_mp_math.md":"C302rxKc","zht_api_mp_math_mp_math_typing.md":"CNiSnuMw","zht_api_mp_math_plane.md":"DJ_9NQFz","zht_api_mp_math_point.md":"D1nAiRP0","zht_api_mp_math_segment.md":"CMRey-MG","zht_api_mp_math_utils.md":"BDpW2Fd4","zht_api_mp_math_vector.md":"DGVOQo3Y","zht_api_particle_index.md":"8GaGB1ul","zht_api_particle_particle.md":"huuRTEb9","zht_api_presets_index.md":"DvOViSox","zht_api_presets_model_index.md":"BJWX_k6K","zht_api_presets_model_model.md":"CNI4ubOh","zht_api_presets_presets.md":"CsDHjRbK","zht_guide_index.md":"CsuFVFxu","zht_index.md":"VMjJ0lpj","zht_refer_index.md":"Bz6voxEQ"} diff --git a/index.html b/index.html index 758297b..bcedc8b 100644 --- a/index.html +++ b/index.html @@ -3,22 +3,23 @@ - MBCP docs - + MBCP 文档 + - + - + + -
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More basic change particle

用于几何运算和粒子制作的库

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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

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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

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用于几何运算和Minecraft粒子制作的库

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API文档
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

+ \ No newline at end of file diff --git a/ja/api/api.html b/ja/api/api.html index a5cd3e3..539447f 100644 --- a/ja/api/api.html +++ b/ja/api/api.html @@ -3,22 +3,23 @@ - mbcp | MBCP docs - + mbcp | MBCP ドキュメント + - + + -
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mbcp ​

説明: 本模块塞了一些预设的粒子生成器

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説明: 本模块塞了一些预设的粒子生成器

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+ \ No newline at end of file diff --git a/ja/api/index.html b/ja/api/index.html index 6479fcc..3668aea 100644 --- a/ja/api/index.html +++ b/ja/api/index.html @@ -3,22 +3,23 @@ - mbcp | MBCP docs - + mbcp | MBCP ドキュメント + - + + -
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mbcp ​

説明: 本模块塞了一些预设的粒子生成器

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説明: 本模块塞了一些预设的粒子生成器

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+ \ No newline at end of file diff --git a/ja/api/mp_math/angle.html b/ja/api/mp_math/angle.html index 8343bc3..6551d99 100644 --- a/ja/api/mp_math/angle.html +++ b/ja/api/mp_math/angle.html @@ -3,21 +3,22 @@ - mbcp.mp_math.angle | MBCP docs - + mbcp.mp_math.angle | MBCP ドキュメント + - + + -
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mbcp.mp_math.angle ​

説明: 本模块定义了角度相关的类

class Angle ​

class AnyAngle(Angle) ​

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

説明: 任意角度。

引数:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード
python
def __init__(self, value: float, is_radian: bool=False):
+    
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mbcp.mp_math.angle ​
説明: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
def __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
引数:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
ソースコード
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -115,8 +116,8 @@
     ...
def self / other ​
ソースコード
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)
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-    
+    return AnyAngle(self.radian / other, is_radian=True)

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+ \ No newline at end of file diff --git a/ja/api/mp_math/const.html b/ja/api/mp_math/const.html index 795e760..e2ab507 100644 --- a/ja/api/mp_math/const.html +++ b/ja/api/mp_math/const.html @@ -3,22 +3,23 @@ - mbcp.mp_math.const | MBCP docs - + mbcp.mp_math.const | MBCP ドキュメント + - + + -
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mbcp.mp_math.const ​

説明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 説明: 常量 π

var E = math.e ​

  • 説明: 自然对数的底 exp(1)

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

  • 説明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 説明: 欧拉常数

var EPSILON = 0.0001 ​

  • 説明: 精度误差

var APPROX = 0.001 ​

  • 説明: 约等于判定误差

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mbcp.mp_math.const ​

説明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 説明: 常量 π

var E = math.e ​

  • 説明: 自然对数的底 exp(1)

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

  • 説明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 説明: 欧拉常数

var EPSILON = 0.0001 ​

  • 説明: 精度误差

var APPROX = 0.001 ​

  • 説明: 约等于判定误差

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+ \ No newline at end of file diff --git a/ja/api/mp_math/equation.html b/ja/api/mp_math/equation.html index 57adf20..cdf53b1 100644 --- a/ja/api/mp_math/equation.html +++ b/ja/api/mp_math/equation.html @@ -3,21 +3,22 @@ - mbcp.mp_math.equation | MBCP docs - + mbcp.mp_math.equation | MBCP ドキュメント + - + - + + -
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mbcp.mp_math.equation ​

説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数

class CurveEquation ​

def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​

説明: 曲线方程。

引数:

  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
ソースコード
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    
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mbcp.mp_math.equation ​
説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
引数:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
ソースコード
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -81,23 +82,8 @@
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
引数:
  • func: 函数
  • *args: 参数
戻り値: 柯里化后的函数
ソースコード
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
-    """
-    对多参数函数进行柯里化。
-    > [!tip]
-    > 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: 函数
-        *args: 参数
-    Returns:
-        柯里化后的函数
-    """
-
-    def curried_func(*args2: Var) -> Var:
-        """@litedoc-hide"""
-        return func(*args, *args2)
-    return curried_func
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-    
+        raise ValueError('Invalid var type')

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+ \ No newline at end of file diff --git a/ja/api/mp_math/function.html b/ja/api/mp_math/function.html index 4223e16..a312d99 100644 --- a/ja/api/mp_math/function.html +++ b/ja/api/mp_math/function.html @@ -3,21 +3,22 @@ - mbcp.mp_math.function | MBCP docs - + mbcp.mp_math.function | MBCP ドキュメント + - + - + + -
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mbcp.mp_math.function ​

説明: AAA

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

説明: 计算三元函数在某点的梯度向量。

TIP

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

引数:

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

戻り値: 梯度

ソースコード
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    
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mbcp.mp_math.function ​
説明: AAA
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
引数:
  • func: 三元函数
  • p: 点
  • epsilon: 偏移量
戻り値: 梯度
ソースコード
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -33,8 +34,33 @@
     dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
     dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
     dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
-    return Vector3(dx, dy, dz)
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-    
+    return Vector3(dx, dy, dz)

def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​

説明: 对多参数函数进行柯里化。

TIP

有关函数柯里化，可参考函数式编程--柯理化（Currying）

引数:

  • func: 函数
  • *args: 参数

戻り値: 柯里化后的函数

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
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: 函数
+        *args: 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

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+ \ No newline at end of file diff --git a/ja/api/mp_math/index.html b/ja/api/mp_math/index.html index f809b10..3ec5dbd 100644 --- a/ja/api/mp_math/index.html +++ b/ja/api/mp_math/index.html @@ -3,22 +3,23 @@ - mbcp.mp_math | MBCP docs - + mbcp.mp_math | MBCP ドキュメント + - + + -
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mbcp.mp_math ​

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

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

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mbcp.mp_math ​

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

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

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+ \ No newline at end of file diff --git a/ja/api/mp_math/line.html b/ja/api/mp_math/line.html index 5695a86..f0c63cc 100644 --- a/ja/api/mp_math/line.html +++ b/ja/api/mp_math/line.html @@ -3,21 +3,22 @@ - mbcp.mp_math.line | MBCP docs - + mbcp.mp_math.line | MBCP ドキュメント + - + + -
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mbcp.mp_math.line ​

説明: 本模块定义了三维空间中的直线类

class Line3 ​

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

説明: 三维空间中的直线。由一个点和一个方向向量确定。

引数:

  • point: 直线上的一点
  • direction: 直线的方向向量
ソースコード
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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mbcp.mp_math.line ​
説明: 本模块定义了三维空间中的直线类
class Line3 ​
def __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
引数:
  • point: 直线上的一点
  • direction: 直线的方向向量
ソースコード
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
@@ -194,8 +195,8 @@
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
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-    
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

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+ \ No newline at end of file diff --git a/ja/api/mp_math/mp_math.html b/ja/api/mp_math/mp_math.html index 93d2a8b..947f69c 100644 --- a/ja/api/mp_math/mp_math.html +++ b/ja/api/mp_math/mp_math.html @@ -3,22 +3,23 @@ - mbcp.mp_math | MBCP docs - + mbcp.mp_math | MBCP ドキュメント + - + + -
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mbcp.mp_math ​

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

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

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mbcp.mp_math ​

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

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

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+ \ No newline at end of file diff --git a/ja/api/mp_math/mp_math_typing.html b/ja/api/mp_math/mp_math_typing.html index d28ce7b..8ac6e91 100644 --- a/ja/api/mp_math/mp_math_typing.html +++ b/ja/api/mp_math/mp_math_typing.html @@ -3,22 +3,23 @@ - mbcp.mp_math.mp_math_typing | MBCP docs - + mbcp.mp_math.mp_math_typing | MBCP ドキュメント + - + + -
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mbcp.mp_math.mp_math_typing ​

説明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • タイプ: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • タイプ: TypeAlias

  • 説明: 数

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

  • 説明: 单变量

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

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • タイプ: TypeAlias

  • 説明: 变量

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

  • タイプ: TypeAlias

  • 説明: 一元单变量函数

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

  • タイプ: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • タイプ: TypeAlias

  • 説明: 一元函数

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

  • タイプ: TypeAlias

  • 説明: 二元单变量函数

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

  • タイプ: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 二元函数

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

  • タイプ: TypeAlias

  • 説明: 三元单变量函数

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

  • タイプ: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 三元函数

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

  • タイプ: TypeAlias

  • 説明: 多元单变量函数

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

  • タイプ: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 多元函数

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mbcp.mp_math.mp_math_typing ​

説明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • タイプ: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • タイプ: TypeAlias

  • 説明: 数

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

  • 説明: 单变量

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

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • タイプ: TypeAlias

  • 説明: 变量

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

  • タイプ: TypeAlias

  • 説明: 一元单变量函数

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

  • タイプ: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • タイプ: TypeAlias

  • 説明: 一元函数

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

  • タイプ: TypeAlias

  • 説明: 二元单变量函数

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

  • タイプ: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 二元函数

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

  • タイプ: TypeAlias

  • 説明: 三元单变量函数

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

  • タイプ: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 三元函数

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

  • タイプ: TypeAlias

  • 説明: 多元单变量函数

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

  • タイプ: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • タイプ: TypeAlias

  • 説明: 多元函数

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+ \ No newline at end of file diff --git a/ja/api/mp_math/plane.html b/ja/api/mp_math/plane.html index 037d3ee..be34062 100644 --- a/ja/api/mp_math/plane.html +++ b/ja/api/mp_math/plane.html @@ -3,21 +3,22 @@ - mbcp.mp_math.plane | MBCP docs - + mbcp.mp_math.plane | MBCP ドキュメント + - + + -
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mbcp.mp_math.plane ​

説明: 本模块定义了三维空间中的平面类

class Plane3 ​

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

説明: 平面方程：ax + by + cz + d = 0

引数:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
ソースコード
python
def __init__(self, a: float, b: float, c: float, d: float):
+    
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mbcp.mp_math.plane ​
説明: 本模块定义了三维空间中的平面类
class Plane3 ​
def __init__(self, a: float, b: float, c: float, d: float) ​
説明: 平面方程：ax + by + cz + d = 0
引数:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
ソースコード
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -212,8 +213,8 @@
     else:
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
def __eq__(self, other) -> bool ​
ソースコード
python
def __eq__(self, other) -> bool:
     return self.approx(other)
def __rand__(self, other: Line3) -> Point3 ​
ソースコード
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
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-    
+    return self.cal_intersection_point3(other)

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+ \ No newline at end of file diff --git a/ja/api/mp_math/point.html b/ja/api/mp_math/point.html index b573f37..592024f 100644 --- a/ja/api/mp_math/point.html +++ b/ja/api/mp_math/point.html @@ -3,21 +3,22 @@ - mbcp.mp_math.point | MBCP docs - + mbcp.mp_math.point | MBCP ドキュメント + - + + -
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mbcp.mp_math.point ​

説明: 本模块定义了三维空间中点的类。

class Point3 ​

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

説明: 笛卡尔坐标系中的点。

引数:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
ソースコード
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.point ​
説明: 本模块定义了三维空间中点的类。
class Point3 ​
def __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
引数:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
ソースコード
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -67,8 +68,8 @@
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
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-    
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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+ \ No newline at end of file diff --git a/ja/api/mp_math/segment.html b/ja/api/mp_math/segment.html index 8fbdceb..8985d85 100644 --- a/ja/api/mp_math/segment.html +++ b/ja/api/mp_math/segment.html @@ -3,21 +3,22 @@ - mbcp.mp_math.segment | MBCP docs - + mbcp.mp_math.segment | MBCP ドキュメント + - + + -
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mbcp.mp_math.segment ​

説明: 本模块定义了三维空间中的线段类

class Segment3 ​

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

説明: 三维空间中的线段。 :param p1: :param p2:

ソースコード
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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mbcp.mp_math.segment ​
説明: 本模块定义了三维空间中的线段类
class Segment3 ​
def __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。 :param p1: :param p2:
ソースコード
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -30,8 +31,8 @@
     '长度'
     self.length = self.direction.length
     '中心点'
-    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
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-    
+    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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mbcp.mp_math.utils ​

説明: 本模块定义了一些常用的工具函数

def clamp(x: float, min_: float, max_: float) -> float ​

説明: 区间限定函数

引数:

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

戻り値: 限制后的值

ソースコード
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
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mbcp.mp_math.utils ​
説明: 本模块定义了一些常用的工具函数
def clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
引数:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
戻り値: 限制后的值
ソースコード
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -80,8 +81,8 @@
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
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-    
+        return ''

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+ \ No newline at end of file diff --git a/ja/api/mp_math/vector.html b/ja/api/mp_math/vector.html index e9ab402..bd45d5f 100644 --- a/ja/api/mp_math/vector.html +++ b/ja/api/mp_math/vector.html @@ -3,21 +3,22 @@ - mbcp.mp_math.vector | MBCP docs - + mbcp.mp_math.vector | MBCP ドキュメント + - + + -
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mbcp.mp_math.vector ​

説明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

説明: 3维向量

引数:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
ソースコード
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.vector ​
説明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
def __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
引数:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
ソースコード
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -203,8 +204,8 @@
         """
     return self.x * other.x + self.y * other.y + self.z * other.z
def self / other: RealNumber => Vector3 ​
ソースコード
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
     return Vector3(self.x / other, self.y / other, self.z / other)
def - self ​
ソースコード
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • タイプ: Vector3
  • 説明: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • タイプ: Vector3
  • 説明: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • タイプ: Vector3
  • 説明: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • タイプ: Vector3
  • 説明: z轴单位向量
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-    
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • タイプ: Vector3

  • 説明: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • タイプ: Vector3

  • 説明: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • タイプ: Vector3

  • 説明: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • タイプ: Vector3

  • 説明: z轴单位向量

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+ \ No newline at end of file diff --git a/ja/api/particle/index.html b/ja/api/particle/index.html index e95c6e0..cf96130 100644 --- a/ja/api/particle/index.html +++ b/ja/api/particle/index.html @@ -3,22 +3,23 @@ - mbcp.particle | MBCP docs - + mbcp.particle | MBCP ドキュメント + - + + -
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mbcp.particle ​

説明: 本模块定义了粒子生成相关的工具

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説明: 本模块定义了粒子生成相关的工具

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+ \ No newline at end of file diff --git a/ja/api/particle/particle.html b/ja/api/particle/particle.html index 7ff07f5..3ba371c 100644 --- a/ja/api/particle/particle.html +++ b/ja/api/particle/particle.html @@ -3,22 +3,23 @@ - mbcp.particle | MBCP docs - + mbcp.particle | MBCP ドキュメント + - + + -
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説明: 本模块定义了粒子生成相关的工具

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説明: 本模块定义了粒子生成相关的工具

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+ \ No newline at end of file diff --git a/ja/api/presets/index.html b/ja/api/presets/index.html index aa80723..085db8c 100644 --- a/ja/api/presets/index.html +++ b/ja/api/presets/index.html @@ -3,22 +3,23 @@ - mbcp.presets | MBCP docs - + mbcp.presets | MBCP ドキュメント + - + + -
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mbcp.presets ​

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

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

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mbcp.presets ​

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

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

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+ \ No newline at end of file diff --git a/ja/api/presets/model/index.html b/ja/api/presets/model/index.html index d788177..5a75a2c 100644 --- a/ja/api/presets/model/index.html +++ b/ja/api/presets/model/index.html @@ -3,21 +3,22 @@ - mbcp.presets.model | MBCP docs - + mbcp.presets.model | MBCP ドキュメント + - + + -
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mbcp.presets.model ​

説明: 几何模型点集

class GeometricModels ​

@staticmethod

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

説明: 生成球体上的点集。

引数:

  • radius:
  • density:

戻り値: List[Point3]: 球体上的点集。

ソースコード
python
@staticmethod
+    
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mbcp.presets.model ​
説明: 几何模型点集
class GeometricModels ​
@staticmethod
def sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
引数:
  • radius:
  • density:
戻り値: List[Point3]: 球体上的点集。
ソースコード
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +35,8 @@
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
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-    
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

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+ \ No newline at end of file diff --git a/ja/api/presets/model/model.html b/ja/api/presets/model/model.html index b9d8c77..6ae68eb 100644 --- a/ja/api/presets/model/model.html +++ b/ja/api/presets/model/model.html @@ -3,21 +3,22 @@ - mbcp.presets.model | MBCP docs - + mbcp.presets.model | MBCP ドキュメント + - + + -
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mbcp.presets.model ​

説明: 几何模型点集

class GeometricModels ​

@staticmethod

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

説明: 生成球体上的点集。

引数:

  • radius:
  • density:

戻り値: List[Point3]: 球体上的点集。

ソースコード
python
@staticmethod
+    
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mbcp.presets.model ​
説明: 几何模型点集
class GeometricModels ​
@staticmethod
def sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
引数:
  • radius:
  • density:
戻り値: List[Point3]: 球体上的点集。
ソースコード
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +35,8 @@
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
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-    
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

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+ \ No newline at end of file diff --git a/ja/api/presets/presets.html b/ja/api/presets/presets.html index b5276f8..ac5217d 100644 --- a/ja/api/presets/presets.html +++ b/ja/api/presets/presets.html @@ -3,22 +3,23 @@ - mbcp.presets | MBCP docs - + mbcp.presets | MBCP ドキュメント + - + + -
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mbcp.presets ​

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

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

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

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+ \ No newline at end of file diff --git a/ja/guide/index.html b/ja/guide/index.html index 2aa8e45..2d72ff6 100644 --- a/ja/guide/index.html +++ b/ja/guide/index.html @@ -3,22 +3,23 @@ - 开始不了一点 | MBCP docs - + 开始不了一点 | MBCP ドキュメント + - + + -
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More basic change particle

ジオメトリ演算とパーティクル作成のためのライブラリ

はじめる
API リファレンス

高可用性

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

高集積度

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

組み込みプリセット

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

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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
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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+ \ No newline at end of file diff --git a/ja/refer/index.html b/ja/refer/index.html index c5d0f1d..6a38d95 100644 --- a/ja/refer/index.html +++ b/ja/refer/index.html @@ -3,22 +3,23 @@ - Reference | MBCP docs - + Reference | MBCP ドキュメント + - + + -
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説明: 本模块塞了一些预设的粒子生成器

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説明: 本模块塞了一些预设的粒子生成器

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+ \ No newline at end of file diff --git a/zht/api/index.html b/zht/api/index.html index eaef268..1e948f2 100644 --- a/zht/api/index.html +++ b/zht/api/index.html @@ -3,22 +3,23 @@ - mbcp | MBCP docs - + mbcp | MBCP 文檔 + - + + -
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mbcp ​

説明: 本模块塞了一些预设的粒子生成器

文檔由 VitePress 構建 | API引用由 litedoc 生成

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mbcp ​

説明: 本模块塞了一些预设的粒子生成器

文檔由 VitePress 構建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/zht/api/mp_math/angle.html b/zht/api/mp_math/angle.html index 4e1acb1..1ac4f28 100644 --- a/zht/api/mp_math/angle.html +++ b/zht/api/mp_math/angle.html @@ -3,21 +3,22 @@ - mbcp.mp_math.angle | MBCP docs - + mbcp.mp_math.angle | MBCP 文檔 + - + + -
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mbcp.mp_math.angle ​

説明: 本模块定义了角度相关的类

class Angle ​

class AnyAngle(Angle) ​

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

説明: 任意角度。

變數説明:

  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼
python
def __init__(self, value: float, is_radian: bool=False):
+    
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mbcp.mp_math.angle ​
説明: 本模块定义了角度相关的类
class Angle ​
class AnyAngle(Angle) ​
def __init__(self, value: float, is_radian: bool = False) ​
説明: 任意角度。
變數説明:
  • value: 角度或弧度值
  • is_radian: 是否为弧度，默认为否
源碼
python
def __init__(self, value: float, is_radian: bool=False):
     """
         任意角度。
         Args:
@@ -115,8 +116,8 @@
     ...
def self / other ​
源碼
python
def __truediv__(self, other):
     if isinstance(other, AnyAngle):
         return self.radian / other.radian
-    return AnyAngle(self.radian / other, is_radian=True)
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-    
+    return AnyAngle(self.radian / other, is_radian=True)

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+ \ No newline at end of file diff --git a/zht/api/mp_math/const.html b/zht/api/mp_math/const.html index 5c001d3..4fd338f 100644 --- a/zht/api/mp_math/const.html +++ b/zht/api/mp_math/const.html @@ -3,22 +3,23 @@ - mbcp.mp_math.const | MBCP docs - + mbcp.mp_math.const | MBCP 文檔 + - + + -
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mbcp.mp_math.const ​

説明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 説明: 常量 π

var E = math.e ​

  • 説明: 自然对数的底 exp(1)

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

  • 説明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 説明: 欧拉常数

var EPSILON = 0.0001 ​

  • 説明: 精度误差

var APPROX = 0.001 ​

  • 説明: 约等于判定误差

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mbcp.mp_math.const ​

説明: 本模块定义了一些常用的常量

var PI = math.pi ​

  • 説明: 常量 π

var E = math.e ​

  • 説明: 自然对数的底 exp(1)

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

  • 説明: 黄金分割比

var GAMMA = 0.5772156649015329 ​

  • 説明: 欧拉常数

var EPSILON = 0.0001 ​

  • 説明: 精度误差

var APPROX = 0.001 ​

  • 説明: 约等于判定误差

文檔由 VitePress 構建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/zht/api/mp_math/equation.html b/zht/api/mp_math/equation.html index 834a19f..7875d12 100644 --- a/zht/api/mp_math/equation.html +++ b/zht/api/mp_math/equation.html @@ -3,21 +3,22 @@ - mbcp.mp_math.equation | MBCP docs - + mbcp.mp_math.equation | MBCP 文檔 + - + - + + -
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mbcp.mp_math.equation ​

説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数

class CurveEquation ​

def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​

説明: 曲线方程。

變數説明:

  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源碼
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
+    
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mbcp.mp_math.equation ​
説明: 本模块定义了方程相关的类和函数以及一些常用的数学函数
class CurveEquation ​
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc) ​
説明: 曲线方程。
變數説明:
  • x_func: x函数
  • y_func: y函数
  • z_func: z函数
源碼
python
def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):
     """
         曲线方程。
         Args:
@@ -81,23 +82,8 @@
             return result_func(*args)
         return high_order_partial_derivative_func
     else:
-        raise ValueError('Invalid var type')
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​
説明: 对多参数函数进行柯里化。
TIP
有关函数柯里化，可参考函数式编程--柯理化（Currying）
變數説明:
  • func: 函数
  • *args: 参数
返回: 柯里化后的函数
源碼
python
def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc:
-    """
-    对多参数函数进行柯里化。
-    > [!tip]
-    > 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: 函数
-        *args: 参数
-    Returns:
-        柯里化后的函数
-    """
-
-    def curried_func(*args2: Var) -> Var:
-        """@litedoc-hide"""
-        return func(*args, *args2)
-    return curried_func
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-    
+        raise ValueError('Invalid var type')

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+ \ No newline at end of file diff --git a/zht/api/mp_math/function.html b/zht/api/mp_math/function.html index 8544650..d9c3904 100644 --- a/zht/api/mp_math/function.html +++ b/zht/api/mp_math/function.html @@ -3,21 +3,22 @@ - mbcp.mp_math.function | MBCP docs - + mbcp.mp_math.function | MBCP 文檔 + - + - + + -
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mbcp.mp_math.function ​

説明: AAA

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

説明: 计算三元函数在某点的梯度向量。

TIP

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

變數説明:

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

返回: 梯度

源碼
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
+    
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mbcp.mp_math.function ​
説明: AAA
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3 ​
説明: 计算三元函数在某点的梯度向量。
TIP
已知一个函数f(x,y,z)，则其在点(x0,y0,z0)处的梯度向量为: ∇f(x0,y0,z0)=(∂f∂x,∂f∂y,∂f∂z)
變數説明:
  • func: 三元函数
  • p: 点
  • epsilon: 偏移量
返回: 梯度
源碼
python
def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float=EPSILON) -> Vector3:
     """
     计算三元函数在某点的梯度向量。
     > [!tip]
@@ -33,8 +34,33 @@
     dx = (func(p.x + epsilon, p.y, p.z) - func(p.x - epsilon, p.y, p.z)) / (2 * epsilon)
     dy = (func(p.x, p.y + epsilon, p.z) - func(p.x, p.y - epsilon, p.z)) / (2 * epsilon)
     dz = (func(p.x, p.y, p.z + epsilon) - func(p.x, p.y, p.z - epsilon)) / (2 * epsilon)
-    return Vector3(dx, dy, dz)
文檔由 VitePress 構建 | API引用由 litedoc 生成
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-    
+    return Vector3(dx, dy, dz)

def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc ​

説明: 对多参数函数进行柯里化。

TIP

有关函数柯里化，可参考函数式编程--柯理化（Currying）

變數説明:

  • func: 函数
  • *args: 参数

返回: 柯里化后的函数

範例:

python
def add(a: int, b: int, c: int) -> int:
+    return a + b + c
+add_curried = curry(add, 1, 2)
+add_curried(3)  # 6
源碼
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: 函数
+        *args: 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

文檔由 VitePress 構建 | API引用由 litedoc 生成

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+ \ No newline at end of file diff --git a/zht/api/mp_math/index.html b/zht/api/mp_math/index.html index 03a1b5d..64bdf72 100644 --- a/zht/api/mp_math/index.html +++ b/zht/api/mp_math/index.html @@ -3,22 +3,23 @@ - mbcp.mp_math | MBCP docs - + mbcp.mp_math | MBCP 文檔 + - + + -
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mbcp.mp_math ​

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

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

文檔由 VitePress 構建 | API引用由 litedoc 生成

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mbcp.mp_math ​

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

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

文檔由 VitePress 構建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/zht/api/mp_math/line.html b/zht/api/mp_math/line.html index 96b6995..4bc4acc 100644 --- a/zht/api/mp_math/line.html +++ b/zht/api/mp_math/line.html @@ -3,21 +3,22 @@ - mbcp.mp_math.line | MBCP docs - + mbcp.mp_math.line | MBCP 文檔 + - + + -
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mbcp.mp_math.line ​

説明: 本模块定义了三维空间中的直线类

class Line3 ​

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

説明: 三维空间中的直线。由一个点和一个方向向量确定。

變數説明:

  • point: 直线上的一点
  • direction: 直线的方向向量
源碼
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
+    
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mbcp.mp_math.line ​
説明: 本模块定义了三维空间中的直线类
class Line3 ​
def __init__(self, point: Point3, direction: Vector3) ​
説明: 三维空间中的直线。由一个点和一个方向向量确定。
變數説明:
  • point: 直线上的一点
  • direction: 直线的方向向量
源碼
python
def __init__(self, point: 'Point3', direction: 'Vector3'):
     """
         三维空间中的直线。由一个点和一个方向向量确定。
         Args:
@@ -194,8 +195,8 @@
         Returns:
 
         """
-    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
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-    
+    return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)

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+ \ No newline at end of file diff --git a/zht/api/mp_math/mp_math.html b/zht/api/mp_math/mp_math.html index ef207b3..d85eb54 100644 --- a/zht/api/mp_math/mp_math.html +++ b/zht/api/mp_math/mp_math.html @@ -3,22 +3,23 @@ - mbcp.mp_math | MBCP docs - + mbcp.mp_math | MBCP 文檔 + - + + -
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mbcp.mp_math ​

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

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

文檔由 VitePress 構建 | API引用由 litedoc 生成

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mbcp.mp_math ​

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

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

文檔由 VitePress 構建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/zht/api/mp_math/mp_math_typing.html b/zht/api/mp_math/mp_math_typing.html index 6742a67..899e9b1 100644 --- a/zht/api/mp_math/mp_math_typing.html +++ b/zht/api/mp_math/mp_math_typing.html @@ -3,22 +3,23 @@ - mbcp.mp_math.mp_math_typing | MBCP docs - + mbcp.mp_math.mp_math_typing | MBCP 文檔 + - + + -
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mbcp.mp_math.mp_math_typing ​

説明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • 類型: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • 類型: TypeAlias

  • 説明: 数

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

  • 説明: 单变量

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

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 類型: TypeAlias

  • 説明: 变量

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

  • 類型: TypeAlias

  • 説明: 一元单变量函数

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

  • 類型: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 類型: TypeAlias

  • 説明: 一元函数

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

  • 類型: TypeAlias

  • 説明: 二元单变量函数

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

  • 類型: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 類型: TypeAlias

  • 説明: 二元函数

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

  • 類型: TypeAlias

  • 説明: 三元单变量函数

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

  • 類型: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 類型: TypeAlias

  • 説明: 三元函数

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

  • 類型: TypeAlias

  • 説明: 多元单变量函数

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

  • 類型: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 類型: TypeAlias

  • 説明: 多元函数

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mbcp.mp_math.mp_math_typing ​

説明: 本模块用于内部类型提示

var RealNumber = int | float ​

  • 類型: TypeAlias

  • 説明: 实数

var Number = RealNumber | complex ​

  • 類型: TypeAlias

  • 説明: 数

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

  • 説明: 单变量

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

  • 説明: 数组变量

var Var = SingleVar | ArrayVar ​

  • 類型: TypeAlias

  • 説明: 变量

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

  • 類型: TypeAlias

  • 説明: 一元单变量函数

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

  • 類型: TypeAlias

  • 説明: 一元数组函数

var OneVarFunc = OneSingleVarFunc | OneArrayFunc ​

  • 類型: TypeAlias

  • 説明: 一元函数

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

  • 類型: TypeAlias

  • 説明: 二元单变量函数

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

  • 類型: TypeAlias

  • 説明: 二元数组函数

var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc ​

  • 類型: TypeAlias

  • 説明: 二元函数

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

  • 類型: TypeAlias

  • 説明: 三元单变量函数

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

  • 類型: TypeAlias

  • 説明: 三元数组函数

var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc ​

  • 類型: TypeAlias

  • 説明: 三元函数

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

  • 類型: TypeAlias

  • 説明: 多元单变量函数

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

  • 類型: TypeAlias

  • 説明: 多元数组函数

var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc ​

  • 類型: TypeAlias

  • 説明: 多元函数

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+ \ No newline at end of file diff --git a/zht/api/mp_math/plane.html b/zht/api/mp_math/plane.html index 7ae4bcf..f9ba4e9 100644 --- a/zht/api/mp_math/plane.html +++ b/zht/api/mp_math/plane.html @@ -3,21 +3,22 @@ - mbcp.mp_math.plane | MBCP docs - + mbcp.mp_math.plane | MBCP 文檔 + - + + -
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mbcp.mp_math.plane ​

説明: 本模块定义了三维空间中的平面类

class Plane3 ​

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

説明: 平面方程：ax + by + cz + d = 0

變數説明:

  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源碼
python
def __init__(self, a: float, b: float, c: float, d: float):
+    
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mbcp.mp_math.plane ​
説明: 本模块定义了三维空间中的平面类
class Plane3 ​
def __init__(self, a: float, b: float, c: float, d: float) ​
説明: 平面方程：ax + by + cz + d = 0
變數説明:
  • a: x系数
  • b: y系数
  • c: z系数
  • d: 常数项
源碼
python
def __init__(self, a: float, b: float, c: float, d: float):
     """
         平面方程：ax + by + cz + d = 0
         Args:
@@ -212,8 +213,8 @@
     else:
         raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")
def __eq__(self, other) -> bool ​
源碼
python
def __eq__(self, other) -> bool:
     return self.approx(other)
def __rand__(self, other: Line3) -> Point3 ​
源碼
python
def __rand__(self, other: 'Line3') -> 'Point3':
-    return self.cal_intersection_point3(other)
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-    
+    return self.cal_intersection_point3(other)

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+ \ No newline at end of file diff --git a/zht/api/mp_math/point.html b/zht/api/mp_math/point.html index 5e20d0a..679daf1 100644 --- a/zht/api/mp_math/point.html +++ b/zht/api/mp_math/point.html @@ -3,21 +3,22 @@ - mbcp.mp_math.point | MBCP docs - + mbcp.mp_math.point | MBCP 文檔 + - + + -
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mbcp.mp_math.point ​

説明: 本模块定义了三维空间中点的类。

class Point3 ​

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

説明: 笛卡尔坐标系中的点。

變數説明:

  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源碼
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.point ​
説明: 本模块定义了三维空间中点的类。
class Point3 ​
def __init__(self, x: float, y: float, z: float) ​
説明: 笛卡尔坐标系中的点。
變數説明:
  • x: x 坐标
  • y: y 坐标
  • z: z 坐标
源碼
python
def __init__(self, x: float, y: float, z: float):
     """
         笛卡尔坐标系中的点。
         Args:
@@ -67,8 +68,8 @@
 
         """
     from .vector import Vector3
-    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
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-    
+    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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+ \ No newline at end of file diff --git a/zht/api/mp_math/segment.html b/zht/api/mp_math/segment.html index a9fc0c0..e20c4c4 100644 --- a/zht/api/mp_math/segment.html +++ b/zht/api/mp_math/segment.html @@ -3,21 +3,22 @@ - mbcp.mp_math.segment | MBCP docs - + mbcp.mp_math.segment | MBCP 文檔 + - + + -
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mbcp.mp_math.segment ​

説明: 本模块定义了三维空间中的线段类

class Segment3 ​

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

説明: 三维空间中的线段。 :param p1: :param p2:

源碼
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
+    
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mbcp.mp_math.segment ​
説明: 本模块定义了三维空间中的线段类
class Segment3 ​
def __init__(self, p1: Point3, p2: Point3) ​
説明: 三维空间中的线段。 :param p1: :param p2:
源碼
python
def __init__(self, p1: 'Point3', p2: 'Point3'):
     """
         三维空间中的线段。
         :param p1:
@@ -30,8 +31,8 @@
     '长度'
     self.length = self.direction.length
     '中心点'
-    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)
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-    
+    self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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+ \ No newline at end of file diff --git a/zht/api/mp_math/utils.html b/zht/api/mp_math/utils.html index f240cd7..83a95ce 100644 --- a/zht/api/mp_math/utils.html +++ b/zht/api/mp_math/utils.html @@ -3,21 +3,22 @@ - mbcp.mp_math.utils | MBCP docs - + mbcp.mp_math.utils | MBCP 文檔 + - + + -
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mbcp.mp_math.utils ​

説明: 本模块定义了一些常用的工具函数

def clamp(x: float, min_: float, max_: float) -> float ​

説明: 区间限定函数

變數説明:

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

返回: 限制后的值

源碼
python
def clamp(x: float, min_: float, max_: float) -> float:
+    
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mbcp.mp_math.utils ​
説明: 本模块定义了一些常用的工具函数
def clamp(x: float, min_: float, max_: float) -> float ​
説明: 区间限定函数
變數説明:
  • x: 待限定的值
  • min_: 最小值
  • max_: 最大值
返回: 限制后的值
源碼
python
def clamp(x: float, min_: float, max_: float) -> float:
     """
     区间限定函数
     Args:
@@ -80,8 +81,8 @@
     elif x < 0:
         return f'-{abs(x)}'
     else:
-        return ''
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-    
+        return ''

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+ \ No newline at end of file diff --git a/zht/api/mp_math/vector.html b/zht/api/mp_math/vector.html index d3a1f7f..e84940e 100644 --- a/zht/api/mp_math/vector.html +++ b/zht/api/mp_math/vector.html @@ -3,21 +3,22 @@ - mbcp.mp_math.vector | MBCP docs - + mbcp.mp_math.vector | MBCP 文檔 + - + + -
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mbcp.mp_math.vector ​

説明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

説明: 3维向量

變數説明:

  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源碼
python
def __init__(self, x: float, y: float, z: float):
+    
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mbcp.mp_math.vector ​
説明: 本模块定义了3维向量的类Vector3，以及一些常用的向量。
class Vector3 ​
def __init__(self, x: float, y: float, z: float) ​
説明: 3维向量
變數説明:
  • x: x轴分量
  • y: y轴分量
  • z: z轴分量
源碼
python
def __init__(self, x: float, y: float, z: float):
     """
         3维向量
         Args:
@@ -203,8 +204,8 @@
         """
     return self.x * other.x + self.y * other.y + self.z * other.z
def self / other: RealNumber => Vector3 ​
源碼
python
def __truediv__(self, other: RealNumber) -> 'Vector3':
     return Vector3(self.x / other, self.y / other, self.z / other)
def - self ​
源碼
python
def __neg__(self):
-    return Vector3(-self.x, -self.y, -self.z)
var zero_vector3 = Vector3(0, 0, 0) ​
  • 類型: Vector3
  • 説明: 零向量
var x_axis = Vector3(1, 0, 0) ​
  • 類型: Vector3
  • 説明: x轴单位向量
var y_axis = Vector3(0, 1, 0) ​
  • 類型: Vector3
  • 説明: y轴单位向量
var z_axis = Vector3(0, 0, 1) ​
  • 類型: Vector3
  • 説明: z轴单位向量
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-    
+    return Vector3(-self.x, -self.y, -self.z)

var zero_vector3 = Vector3(0, 0, 0) ​

  • 類型: Vector3

  • 説明: 零向量

var x_axis = Vector3(1, 0, 0) ​

  • 類型: Vector3

  • 説明: x轴单位向量

var y_axis = Vector3(0, 1, 0) ​

  • 類型: Vector3

  • 説明: y轴单位向量

var z_axis = Vector3(0, 0, 1) ​

  • 類型: Vector3

  • 説明: z轴单位向量

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+ \ No newline at end of file diff --git a/zht/api/particle/index.html b/zht/api/particle/index.html index 86c6b42..d5265f0 100644 --- a/zht/api/particle/index.html +++ b/zht/api/particle/index.html @@ -3,22 +3,23 @@ - mbcp.particle | MBCP docs - + mbcp.particle | MBCP 文檔 + - + + -
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mbcp.particle ​

説明: 本模块定义了粒子生成相关的工具

文檔由 VitePress 構建 | API引用由 litedoc 生成

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- +
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mbcp.particle ​

説明: 本模块定义了粒子生成相关的工具

文檔由 VitePress 構建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/zht/api/particle/particle.html b/zht/api/particle/particle.html index cd190f2..a6dec48 100644 --- a/zht/api/particle/particle.html +++ b/zht/api/particle/particle.html @@ -3,22 +3,23 @@ - mbcp.particle | MBCP docs - + mbcp.particle | MBCP 文檔 + - + + -
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mbcp.particle ​

説明: 本模块定义了粒子生成相关的工具

文檔由 VitePress 構建 | API引用由 litedoc 生成

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- +
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mbcp.particle ​

説明: 本模块定义了粒子生成相关的工具

文檔由 VitePress 構建 | API引用由 litedoc 生成

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

+ \ No newline at end of file diff --git a/zht/api/presets/index.html b/zht/api/presets/index.html index 7a13a9c..22725fe 100644 --- a/zht/api/presets/index.html +++ b/zht/api/presets/index.html @@ -3,22 +3,23 @@ - mbcp.presets | MBCP docs - + mbcp.presets | MBCP 文檔 + - + + -
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mbcp.presets ​

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

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

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mbcp.presets ​

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

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

文檔由 VitePress 構建 | API引用由 litedoc 生成

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+ \ No newline at end of file diff --git a/zht/api/presets/model/index.html b/zht/api/presets/model/index.html index a4cb96d..cbd84d3 100644 --- a/zht/api/presets/model/index.html +++ b/zht/api/presets/model/index.html @@ -3,21 +3,22 @@ - mbcp.presets.model | MBCP docs - + mbcp.presets.model | MBCP 文檔 + - + + -
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mbcp.presets.model ​

説明: 几何模型点集

class GeometricModels ​

@staticmethod

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

説明: 生成球体上的点集。

變數説明:

  • radius:
  • density:

返回: List[Point3]: 球体上的点集。

源碼
python
@staticmethod
+    
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mbcp.presets.model ​
説明: 几何模型点集
class GeometricModels ​
@staticmethod
def sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
變數説明:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源碼
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +35,8 @@
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
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-    
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

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+ \ No newline at end of file diff --git a/zht/api/presets/model/model.html b/zht/api/presets/model/model.html index 47bc4fd..ab5f60d 100644 --- a/zht/api/presets/model/model.html +++ b/zht/api/presets/model/model.html @@ -3,21 +3,22 @@ - mbcp.presets.model | MBCP docs - + mbcp.presets.model | MBCP 文檔 + - + + -
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mbcp.presets.model ​

説明: 几何模型点集

class GeometricModels ​

@staticmethod

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

説明: 生成球体上的点集。

變數説明:

  • radius:
  • density:

返回: List[Point3]: 球体上的点集。

源碼
python
@staticmethod
+    
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mbcp.presets.model ​
説明: 几何模型点集
class GeometricModels ​
@staticmethod
def sphere(radius: float, density: float) ​
説明: 生成球体上的点集。
變數説明:
  • radius:
  • density:
返回: List[Point3]: 球体上的点集。
源碼
python
@staticmethod
 def sphere(radius: float, density: float):
     """
         生成球体上的点集。
@@ -34,8 +35,8 @@
     x_array = radius * np.sin(phi_list) * np.cos(theta_list)
     y_array = radius * np.sin(phi_list) * np.sin(theta_list)
     z_array = radius * np.cos(phi_list)
-    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]
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-    
+    return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

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+ \ No newline at end of file diff --git a/zht/api/presets/presets.html b/zht/api/presets/presets.html index 4237c44..f062bd5 100644 --- a/zht/api/presets/presets.html +++ b/zht/api/presets/presets.html @@ -3,22 +3,23 @@ - mbcp.presets | MBCP docs - + mbcp.presets | MBCP 文檔 + - + + -
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mbcp.presets ​

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

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

文檔由 VitePress 構建 | API引用由 litedoc 生成

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

- +
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mbcp.presets ​

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

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用於幾何運算和粒子製作的軟體庫

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

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提供了大量的預設，包括常見的幾何圖形、粒子效果等，便於快速生產

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用於幾何運算和 當個創世神 粒子製作的軟體庫

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高度易用

通過簡單的接口，實現了大部分幾何運算及粒子製作的需求

高度集成

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

內置預設

提供了大量的預設，包括常見的幾何圖形、粒子效果等，便於快速生產

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