diff --git a/404.html b/404.html index cc5bdf2..8897036 100644 --- a/404.html +++ b/404.html @@ -6,9 +6,9 @@ 404 | MBCP 文档 - + - + @@ -16,7 +16,7 @@
- + \ No newline at end of file diff --git a/api/index.html b/api/index.html index ed5fa04..2798acb 100644 --- a/api/index.html +++ b/api/index.html @@ -6,10 +6,10 @@ mbcp | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
MBCP 文档

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模块 mbcp ​

本模块是主模块，提供了一些工具 可导入

mbcp.mp_math：数学工具

mbcp.particle：粒子生成工具

mbcp.presets：预设

文档由 VitePress 构建 | API引用由 litedoc 生成

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

- + \ No newline at end of file diff --git a/api/mp_math/angle.html b/api/mp_math/angle.html index 52b4b71..b54109e 100644 --- a/api/mp_math/angle.html +++ b/api/mp_math/angle.html @@ -6,10 +6,10 @@ mbcp.mp_math.angle | MBCP 文档 - + - - + + @@ -56,7 +56,7 @@ if isinstance(other, AnyAngle): return self.radian / other.radian return AnyAngle(self.radian / other, is_radian=True) - + \ No newline at end of file diff --git a/api/mp_math/const.html b/api/mp_math/const.html index c84e7dc..0ec878d 100644 --- a/api/mp_math/const.html +++ b/api/mp_math/const.html @@ -6,10 +6,10 @@ mbcp.mp_math.const | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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模块 mbcp.mp_math.const ​

本模块定义了一些常用的常量

var PI ​

  • 说明: 常量 π

  • 默认值: math.pi

var E ​

  • 说明: 自然对数的底 exp(1)

  • 默认值: math.e

var GOLDEN_RATIO ​

  • 说明: 黄金分割比

  • 默认值: (1 + math.sqrt(5)) / 2

var GAMMA ​

  • 说明: 欧拉常数

  • 默认值: 0.5772156649015329

var EPSILON ​

  • 说明: 精度误差

  • 默认值: 0.0001

var APPROX ​

  • 说明: 约等于判定误差

  • 默认值: 0.001

文档由 VitePress 构建 | API引用由 litedoc 生成

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

- + \ No newline at end of file diff --git a/api/mp_math/equation.html b/api/mp_math/equation.html index 87dd313..1b4aa82 100644 --- a/api/mp_math/equation.html +++ b/api/mp_math/equation.html @@ -6,10 +6,10 @@ mbcp.mp_math.equation | MBCP 文档 - + - - + + @@ -45,7 +45,7 @@ return high_order_partial_derivative_func else: raise ValueError('Invalid var type') - + \ No newline at end of file diff --git a/api/mp_math/function.html b/api/mp_math/function.html index 8aec7da..705d46d 100644 --- a/api/mp_math/function.html +++ b/api/mp_math/function.html @@ -6,10 +6,10 @@ mbcp.mp_math.function | MBCP 文档 - + - - + + @@ -30,7 +30,7 @@ def curried_func(*args2: Var) -> Var: return func(*args, *args2) return curried_func - + \ No newline at end of file diff --git a/api/mp_math/index.html b/api/mp_math/index.html index 976b294..d95ba2b 100644 --- a/api/mp_math/index.html +++ b/api/mp_math/index.html @@ -6,10 +6,10 @@ mbcp.mp_math | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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模块 mbcp.mp_math ​

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

文档由 VitePress 构建 | API引用由 litedoc 生成

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

- + \ No newline at end of file diff --git a/api/mp_math/line.html b/api/mp_math/line.html index 570018d..05faf10 100644 --- a/api/mp_math/line.html +++ b/api/mp_math/line.html @@ -6,10 +6,10 @@ mbcp.mp_math.line | MBCP 文档 - + - - + + @@ -66,7 +66,7 @@ else: return self.cal_intersection(other)

method self == other => bool ​

说明: 判断两条直线是否等价。

v1 // v2 ∧ (p1 - p2) // v1

参数:

返回: bool: 是否等价

源代码 或 在GitHub上查看
python
def __eq__(self, other) -> bool:
     return self.direction.is_parallel(other.direction) and (self.point - other.point).is_parallel(self.direction)
- + \ No newline at end of file diff --git a/api/mp_math/mp_math_typing.html b/api/mp_math/mp_math_typing.html index 1f6fcbe..36abb28 100644 --- a/api/mp_math/mp_math_typing.html +++ b/api/mp_math/mp_math_typing.html @@ -6,10 +6,10 @@ mbcp.mp_math.mp_math_typing | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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模块 mbcp.mp_math.mp_math_typing ​

本模块用于内部类型提示

var RealNumber ​

  • 说明: 实数

  • 类型: TypeAlias

  • 默认值: int | float

var Number ​

  • 说明: 数

  • 类型: TypeAlias

  • 默认值: RealNumber | complex

var SingleVar ​

  • 说明: 单变量

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

var ArrayVar ​

  • 说明: 数组变量

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

var Var ​

  • 说明: 变量

  • 类型: TypeAlias

  • 默认值: SingleVar | ArrayVar

var OneSingleVarFunc ​

  • 说明: 一元单变量函数

  • 类型: TypeAlias

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

var OneArrayFunc ​

  • 说明: 一元数组函数

  • 类型: TypeAlias

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

var OneVarFunc ​

  • 说明: 一元函数

  • 类型: TypeAlias

  • 默认值: OneSingleVarFunc | OneArrayFunc

var TwoSingleVarsFunc ​

  • 说明: 二元单变量函数

  • 类型: TypeAlias

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

var TwoArraysFunc ​

  • 说明: 二元数组函数

  • 类型: TypeAlias

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

var TwoVarsFunc ​

  • 说明: 二元函数

  • 类型: TypeAlias

  • 默认值: TwoSingleVarsFunc | TwoArraysFunc

var ThreeSingleVarsFunc ​

  • 说明: 三元单变量函数

  • 类型: TypeAlias

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

var ThreeArraysFunc ​

  • 说明: 三元数组函数

  • 类型: TypeAlias

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

var ThreeVarsFunc ​

  • 说明: 三元函数

  • 类型: TypeAlias

  • 默认值: ThreeSingleVarsFunc | ThreeArraysFunc

var MultiSingleVarsFunc ​

  • 说明: 多元单变量函数

  • 类型: TypeAlias

  • 默认值: Callable[..., SingleVar]

var MultiArraysFunc ​

  • 说明: 多元数组函数

  • 类型: TypeAlias

  • 默认值: Callable[..., ArrayVar]

var MultiVarsFunc ​

  • 说明: 多元函数

  • 类型: TypeAlias

  • 默认值: MultiSingleVarsFunc | MultiArraysFunc

文档由 VitePress 构建 | API引用由 litedoc 生成

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

- + \ No newline at end of file diff --git a/api/mp_math/plane.html b/api/mp_math/plane.html index c60508b..a92671d 100644 --- a/api/mp_math/plane.html +++ b/api/mp_math/plane.html @@ -6,10 +6,10 @@ mbcp.mp_math.plane | MBCP 文档 - + - - + + @@ -105,7 +105,7 @@ raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method self == other => bool ​

说明: 判断两个平面是否等价。

参数:

返回: bool: 是否等价

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

method self & other: Line3 => Point3 ​

源代码 或 在GitHub上查看
python
def __rand__(self, other: 'Line3') -> 'Point3':
     return self.cal_intersection_point3(other)
- + \ No newline at end of file diff --git a/api/mp_math/point.html b/api/mp_math/point.html index a57797e..ca70d89 100644 --- a/api/mp_math/point.html +++ b/api/mp_math/point.html @@ -6,10 +6,10 @@ mbcp.mp_math.point | MBCP 文档 - + - - + + @@ -31,7 +31,7 @@ return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self - other: Point3 => Vector3 ​

说明: P - P -> V

P - V -> P 已在 Vector3 中实现

参数:

返回: Vector3: 新的向量

源代码 或 在GitHub上查看
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
- + \ No newline at end of file diff --git a/api/mp_math/segment.html b/api/mp_math/segment.html index 68e628d..a54fbfc 100644 --- a/api/mp_math/segment.html +++ b/api/mp_math/segment.html @@ -6,10 +6,10 @@ mbcp.mp_math.segment | MBCP 文档 - + - - + + @@ -27,7 +27,7 @@ self.length = self.direction.length '中心点' self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2) - + \ No newline at end of file diff --git a/api/mp_math/utils.html b/api/mp_math/utils.html index a348448..cf3b73c 100644 --- a/api/mp_math/utils.html +++ b/api/mp_math/utils.html @@ -6,10 +6,10 @@ mbcp.mp_math.utils | MBCP 文档 - + - - + + @@ -46,7 +46,7 @@ return f'-{abs(x)}' else: return '' - + \ No newline at end of file diff --git a/api/mp_math/vector.html b/api/mp_math/vector.html index 5db6ca6..ec9761e 100644 --- a/api/mp_math/vector.html +++ b/api/mp_math/vector.html @@ -6,12 +6,12 @@ mbcp.mp_math.vector | MBCP 文档 - + - - + + - + @@ -30,55 +30,56 @@ length = self.length self.x /= length self.y /= length - self.z /= length

@property

method np_array(self) -> np.ndarray ​

返回: np.ndarray: numpy数组

源代码 或 在GitHub上查看
python
@property
+    self.z /= length

method project(self, other: Vector3) -> Vector3 ​

参数:

返回: Vector3: 投影向量

源代码 或 在GitHub上查看
python
def project(self, other: 'Vector3') -> 'Vector3':
+    return self @ other / other.length * other.unit

@property

method np_array(self) -> np.ndarray ​

返回: np.ndarray: numpy数组

源代码 或 在GitHub上查看
python
@property
 def np_array(self) -> 'np.ndarray':
-    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

说明: 向量的模。

返回: float: 模

源代码 或 在GitHub上查看
python
@property
+    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

说明: 向量的模。

返回: float: 模

源代码 或 在GitHub上查看
python
@property
 def length(self) -> float:
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

说明: 获取该向量的单位向量。

返回: Vector3: 单位向量

源代码 或 在GitHub上查看
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

说明: 获取该向量的单位向量。

返回: Vector3: 单位向量

源代码 或 在GitHub上查看
python
@property
 def unit(self) -> 'Vector3':
-    return self / self.length

method __abs__(self) ​

源代码 或 在GitHub上查看
python
def __abs__(self):
-    return self.length

@overload

method self + other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload
+    return self / self.length

method __abs__(self) ​

源代码 或 在GitHub上查看
python
def __abs__(self):
+    return self.length

@overload

method self + other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self + other: Point3 => Point3 ​

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

@overload

method self + other: Point3 => Point3 ​

源代码 或 在GitHub上查看
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...

method self + other ​

说明: V + P -> P

V + V -> V

参数:

返回: Vector3 | Point3: 新的向量或点

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

method self + other ​

说明: V + P -> P

V + V -> V

参数:

返回: Vector3 | Point3: 新的向量或点

源代码 或 在GitHub上查看
python
def __add__(self, other):
     if isinstance(other, Vector3):
         return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

说明: 判断两个向量是否相等。

参数:

返回: bool: 是否相等

源代码 或 在GitHub上查看
python
def __eq__(self, other):
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

说明: P + V -> P

别去点那边实现了。

参数:

返回: Point3: 新的点

源代码 或 在GitHub上查看
python
def __radd__(self, other: 'Point3') -> 'Point3':
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

说明: 判断两个向量是否相等。

参数:

返回: bool: 是否相等

源代码 或 在GitHub上查看
python
def __eq__(self, other):
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

说明: P + V -> P

别去点那边实现了。

参数:

返回: Point3: 新的点

源代码 或 在GitHub上查看
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self - other: Point3 => Point3 ​

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

@overload

method self - other: Point3 => Point3 ​

源代码 或 在GitHub上查看
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...

method self - other ​

说明: V - P -> P

V - V -> V

参数:

返回: Vector3 | Point3: 新的向量

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

method self - other ​

说明: V - P -> P

V - V -> V

参数:

返回: Vector3 | Point3: 新的向量

源代码 或 在GitHub上查看
python
def __sub__(self, other):
     if isinstance(other, Vector3):
         return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

说明: P - V -> P

参数:

返回: Point3: 新的点

源代码 或 在GitHub上查看
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

说明: P - V -> P

参数:

返回: Point3: 新的点

源代码 或 在GitHub上查看
python
def __rsub__(self, other: 'Point3'):
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self * other: RealNumber => Vector3 ​

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

@overload

method self * other: RealNumber => Vector3 ​

源代码 或 在GitHub上查看
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...

method self * other: int | float | Vector3 => Vector3 ​

说明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

参数:

返回: Vector3: 数组运算结果

源代码 或 在GitHub上查看
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...

method self * other: int | float | Vector3 => Vector3 ​

说明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

参数:

返回: Vector3: 数组运算结果

源代码 或 在GitHub上查看
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     if isinstance(other, Vector3):
         return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

源代码 或 在GitHub上查看
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

说明: 点乘。

参数:

返回: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

说明: 取负。

返回: Vector3: 负向量

源代码 或 在GitHub上查看
python
def __neg__(self) -> 'Vector3':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

源代码 或 在GitHub上查看
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

说明: 点乘。

参数:

返回: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

说明: 取负。

返回: Vector3: 负向量

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

var zero_vector3 ​

var x_axis ​

var y_axis ​

var z_axis ​

- + \ No newline at end of file diff --git a/api/particle/index.html b/api/particle/index.html index a3fea60..4198f16 100644 --- a/api/particle/index.html +++ b/api/particle/index.html @@ -6,10 +6,10 @@ mbcp.particle | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
MBCP 文档

简体中文

English
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English
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模块 mbcp.particle ​

本模块定义了粒子生成相关的工具

文档由 VitePress 构建 | API引用由 litedoc 生成

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

- + \ No newline at end of file diff --git a/api/presets/index.html b/api/presets/index.html index 07e419f..41c28a4 100644 --- a/api/presets/index.html +++ b/api/presets/index.html @@ -6,10 +6,10 @@ mbcp.presets | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
MBCP 文档

简体中文

English
日本語
繁體中文

简体中文

English
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繁體中文

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模块 mbcp.presets ​

本模块塞了一些预设

文档由 VitePress 构建 | API引用由 litedoc 生成

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

- + \ No newline at end of file diff --git a/api/presets/model/index.html b/api/presets/model/index.html index bce2c90..abe8d26 100644 --- a/api/presets/model/index.html +++ b/api/presets/model/index.html @@ -6,10 +6,10 @@ mbcp.presets.model | MBCP 文档 - + - - + + @@ -28,7 +28,7 @@ y_array = radius * np.sin(phi_list) * np.sin(theta_list) z_array = radius * np.cos(phi_list) return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)] - + \ No newline at end of file diff --git a/assets/api_mp_math_vector.md.DPOUcEuP.js b/assets/api_mp_math_vector.md.DjjcwrqW.js similarity index 66% rename from assets/api_mp_math_vector.md.DPOUcEuP.js rename to assets/api_mp_math_vector.md.DjjcwrqW.js index 0ff6313..a5c670c 100644 --- a/assets/api_mp_math_vector.md.DPOUcEuP.js +++ b/assets/api_mp_math_vector.md.DjjcwrqW.js @@ -1 +1 @@ -import{_ as e,c as t,j as s,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const z=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"api/mp_math/vector.md","filePath":"zh/api/mp_math/vector.md"}'),l={name:"api/mp_math/vector.md"},h=a('

模块 mbcp.mp_math.vector ​

本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

说明: 3维向量

参数:

源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):\n    self.x = x\n    self.y = y\n    self.z = z

method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​

说明: 判断两个向量是否近似相等。

参数:

返回: bool: 是否近似相等

源代码 或 在GitHub上查看
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])

method cal_angle(self, other: Vector3) -> AnyAngle ​

说明: 计算两个向量之间的夹角。

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参数:

返回: AnyAngle: 夹角

源代码 或 在GitHub上查看
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':\n    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)

method cross(self, other: Vector3) -> Vector3 ​

说明: 向量积 叉乘：v1 x v2 -> v3

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参数:

返回: Vector3: 叉乘结果

源代码 或 在GitHub上查看
python
def cross(self, other: 'Vector3') -> 'Vector3':\n    return Vector3(self.y * other.z - self.z * other.y, self.z * other.x - self.x * other.z, self.x * other.y - self.y * other.x)

method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​

说明: 判断两个向量是否近似平行。

参数:

返回: bool: 是否近似平行

源代码 或 在GitHub上查看
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return self.cross(other).length < epsilon

method is_parallel(self, other: Vector3) -> bool ​

说明: 判断两个向量是否平行。

参数:

返回: bool: 是否平行

源代码 或 在GitHub上查看
python
def is_parallel(self, other: 'Vector3') -> bool:\n    return self.cross(other).approx(zero_vector3)

method normalize(self) ​

说明: 将向量归一化。

自体归一化，不返回值。

源代码 或 在GitHub上查看
python
def normalize(self):\n    length = self.length\n    self.x /= length\n    self.y /= length\n    self.z /= length

@property

method np_array(self) -> np.ndarray ​

返回: np.ndarray: numpy数组

源代码 或 在GitHub上查看
python
@property\ndef np_array(self) -> 'np.ndarray':\n    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

说明: 向量的模。

返回: float: 模

源代码 或 在GitHub上查看
python
@property\ndef length(self) -> float:\n    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

说明: 获取该向量的单位向量。

返回: Vector3: 单位向量

源代码 或 在GitHub上查看
python
@property\ndef unit(self) -> 'Vector3':\n    return self / self.length

method __abs__(self) ​

源代码 或 在GitHub上查看
python
def __abs__(self):\n    return self.length

@overload

method self + other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __add__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self + other: Point3 => Point3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __add__(self, other: 'Point3') -> 'Point3':\n    ...

method self + other ​

说明: V + P -> P

V + V -> V

参数:

返回: Vector3 | Point3: 新的向量或点

源代码 或 在GitHub上查看
python
def __add__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x + other.x, self.y + other.y, self.z + other.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

说明: 判断两个向量是否相等。

参数:

返回: bool: 是否相等

源代码 或 在GitHub上查看
python
def __eq__(self, other):\n    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

说明: P + V -> P

别去点那边实现了。

参数:

返回: Point3: 新的点

源代码 或 在GitHub上查看
python
def __radd__(self, other: 'Point3') -> 'Point3':\n    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __sub__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self - other: Point3 => Point3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __sub__(self, other: 'Point3') -> 'Point3':\n    ...

method self - other ​

说明: V - P -> P

V - V -> V

参数:

返回: Vector3 | Point3: 新的向量

源代码 或 在GitHub上查看
python
def __sub__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x - other.x, self.y - other.y, self.z - other.z)\n    else:\n        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

说明: P - V -> P

参数:

返回: Point3: 新的点

源代码 或 在GitHub上查看
python
def __rsub__(self, other: 'Point3'):\n    if isinstance(other, Point3):\n        return Point3(other.x - self.x, other.y - self.y, other.z - self.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __mul__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self * other: RealNumber => Vector3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __mul__(self, other: RealNumber) -> 'Vector3':\n    ...

method self * other: int | float | Vector3 => Vector3 ​

说明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

参数:

返回: Vector3: 数组运算结果

源代码 或 在GitHub上查看
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':\n    if isinstance(other, Vector3):\n        return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)\n    elif isinstance(other, (float, int)):\n        return Vector3(self.x * other, self.y * other, self.z * other)\n    else:\n        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

源代码 或 在GitHub上查看
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':\n    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

说明: 点乘。

参数:

返回: float: 点乘结果

源代码 或 在GitHub上查看
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':\n    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

说明: 取负。

返回: Vector3: 负向量

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

var zero_vector3 ​

var x_axis ​

var y_axis ​

var z_axis ​

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模块 mbcp.mp_math.vector ​

本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

说明: 3维向量

参数:

源代码 或 在GitHub上查看
python
def __init__(self, x: float, y: float, z: float):\n    self.x = x\n    self.y = y\n    self.z = z

method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​

说明: 判断两个向量是否近似相等。

参数:

返回: bool: 是否近似相等

源代码 或 在GitHub上查看
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])

method cal_angle(self, other: Vector3) -> AnyAngle ​

说明: 计算两个向量之间的夹角。

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参数:

返回: AnyAngle: 夹角

源代码 或 在GitHub上查看
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':\n    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)

method cross(self, other: Vector3) -> Vector3 ​

说明: 向量积 叉乘：v1 x v2 -> v3

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参数:

返回: Vector3: 叉乘结果

源代码 或 在GitHub上查看
python
def cross(self, other: 'Vector3') -> 'Vector3':\n    return Vector3(self.y * other.z - self.z * other.y, self.z * other.x - self.x * other.z, self.x * other.y - self.y * other.x)

method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​

说明: 判断两个向量是否近似平行。

参数:

返回: bool: 是否近似平行

源代码 或 在GitHub上查看
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return self.cross(other).length < epsilon

method is_parallel(self, other: Vector3) -> bool ​

说明: 判断两个向量是否平行。

参数:

返回: bool: 是否平行

源代码 或 在GitHub上查看
python
def is_parallel(self, other: 'Vector3') -> bool:\n    return self.cross(other).approx(zero_vector3)

method normalize(self) ​

说明: 将向量归一化。

自体归一化，不返回值。

源代码 或 在GitHub上查看
python
def normalize(self):\n    length = self.length\n    self.x /= length\n    self.y /= length\n    self.z /= length

method project(self, other: Vector3) -> Vector3 ​

参数:

返回: Vector3: 投影向量

源代码 或 在GitHub上查看
python
def project(self, other: 'Vector3') -> 'Vector3':\n    return self @ other / other.length * other.unit

@property

method np_array(self) -> np.ndarray ​

返回: np.ndarray: numpy数组

源代码 或 在GitHub上查看
python
@property\ndef np_array(self) -> 'np.ndarray':\n    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

说明: 向量的模。

返回: float: 模

源代码 或 在GitHub上查看
python
@property\ndef length(self) -> float:\n    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

说明: 获取该向量的单位向量。

返回: Vector3: 单位向量

源代码 或 在GitHub上查看
python
@property\ndef unit(self) -> 'Vector3':\n    return self / self.length

method __abs__(self) ​

源代码 或 在GitHub上查看
python
def __abs__(self):\n    return self.length

@overload

method self + other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __add__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self + other: Point3 => Point3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __add__(self, other: 'Point3') -> 'Point3':\n    ...

method self + other ​

说明: V + P -> P

V + V -> V

参数:

返回: Vector3 | Point3: 新的向量或点

源代码 或 在GitHub上查看
python
def __add__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x + other.x, self.y + other.y, self.z + other.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

说明: 判断两个向量是否相等。

参数:

返回: bool: 是否相等

源代码 或 在GitHub上查看
python
def __eq__(self, other):\n    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

说明: P + V -> P

别去点那边实现了。

参数:

返回: Point3: 新的点

源代码 或 在GitHub上查看
python
def __radd__(self, other: 'Point3') -> 'Point3':\n    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __sub__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self - other: Point3 => Point3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __sub__(self, other: 'Point3') -> 'Point3':\n    ...

method self - other ​

说明: V - P -> P

V - V -> V

参数:

返回: Vector3 | Point3: 新的向量

源代码 或 在GitHub上查看
python
def __sub__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x - other.x, self.y - other.y, self.z - other.z)\n    else:\n        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

说明: P - V -> P

参数:

返回: Point3: 新的点

源代码 或 在GitHub上查看
python
def __rsub__(self, other: 'Point3'):\n    if isinstance(other, Point3):\n        return Point3(other.x - self.x, other.y - self.y, other.z - self.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __mul__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self * other: RealNumber => Vector3 ​

源代码 或 在GitHub上查看
python
@overload\ndef __mul__(self, other: RealNumber) -> 'Vector3':\n    ...

method self * other: int | float | Vector3 => Vector3 ​

说明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

参数:

返回: Vector3: 数组运算结果

源代码 或 在GitHub上查看
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':\n    if isinstance(other, Vector3):\n        return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)\n    elif isinstance(other, (float, int)):\n        return Vector3(self.x * other, self.y * other, self.z * other)\n    else:\n        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

源代码 或 在GitHub上查看
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':\n    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

说明: 点乘。

参数:

返回: float: 点乘结果

源代码 或 在GitHub上查看
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':\n    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

说明: 取负。

返回: Vector3: 负向量

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

var zero_vector3 ​

var x_axis ​

var y_axis ​

var z_axis ​

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= False) -> str","titles":["Module mbcp.mp_math.utils"]},"117":{"title":"func sign_format(x: float, only_neg: bool = False) -> str","titles":["Module mbcp.mp_math.utils"]},"118":{"title":"Module mbcp.mp_math.vector","titles":[]},"119":{"title":"class Vector3","titles":["Module mbcp.mp_math.vector"]},"120":{"title":"method __init__(self, x: float, y: float, z: float)","titles":["Module mbcp.mp_math.vector","class Vector3"]},"121":{"title":"method approx(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.vector","class Vector3"]},"122":{"title":"method cal_angle(self, other: Vector3) -> AnyAngle","titles":["Module mbcp.mp_math.vector","class Vector3"]},"123":{"title":"method cross(self, other: Vector3) -> Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"124":{"title":"method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.vector","class Vector3"]},"125":{"title":"method 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AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"20":{"title":"method self / other: float => AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"21":{"title":"method self / other: AnyAngle => float","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"22":{"title":"method self / other","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"23":{"title":"Module mbcp.mp_math.const","titles":[]},"24":{"title":"var PI","titles":["Module mbcp.mp_math.const"]},"25":{"title":"var E","titles":["Module mbcp.mp_math.const"]},"26":{"title":"var GOLDEN_RATIO","titles":["Module mbcp.mp_math.const"]},"27":{"title":"var GAMMA","titles":["Module mbcp.mp_math.const"]},"28":{"title":"var EPSILON","titles":["Module mbcp.mp_math.const"]},"29":{"title":"var APPROX","titles":["Module mbcp.mp_math.const"]},"30":{"title":"Module mbcp.mp_math.equation","titles":[]},"31":{"title":"class CurveEquation","titles":["Module mbcp.mp_math.equation"]},"32":{"title":"method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)","titles":["Module mbcp.mp_math.equation","class CurveEquation"]},"33":{"title":"method self () *t: Var => Point3 | tuple[Point3, ...]","titles":["Module mbcp.mp_math.equation","class CurveEquation"]},"34":{"title":"func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc","titles":["Module mbcp.mp_math.equation"]},"35":{"title":"Module mbcp.mp_math.function","titles":[]},"36":{"title":"func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3","titles":["Module mbcp.mp_math.function"]},"37":{"title":"func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc","titles":["Module mbcp.mp_math.function"]},"38":{"title":"Module mbcp.mp_math","titles":[]},"39":{"title":"Module mbcp.mp_math.line","titles":[]},"40":{"title":"class Line3","titles":["Module mbcp.mp_math.line"]},"41":{"title":"method __init__(self, point: Point3, direction: Vector3)","titles":["Module mbcp.mp_math.line","class Line3"]},"42":{"title":"method approx(self, other: Line3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"43":{"title":"method cal_angle(self, other: Line3) -> AnyAngle","titles":["Module mbcp.mp_math.line","class Line3"]},"44":{"title":"method cal_distance(self, other: Line3 | Point3) -> float","titles":["Module mbcp.mp_math.line","class Line3"]},"45":{"title":"method cal_intersection(self, other: Line3) -> Point3","titles":["Module mbcp.mp_math.line","class Line3"]},"46":{"title":"method cal_perpendicular(self, point: Point3) -> Line3","titles":["Module mbcp.mp_math.line","class Line3"]},"47":{"title":"method get_point(self, t: RealNumber) -> Point3","titles":["Module mbcp.mp_math.line","class Line3"]},"48":{"title":"method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]","titles":["Module mbcp.mp_math.line","class Line3"]},"49":{"title":"method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"50":{"title":"method is_parallel(self, other: Line3) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"51":{"title":"method is_collinear(self, other: Line3) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"52":{"title":"method is_point_on(self, point: Point3) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"53":{"title":"method is_coplanar(self, other: Line3) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"54":{"title":"method simplify(self)","titles":["Module mbcp.mp_math.line","class Line3"]},"55":{"title":"method from_two_points(cls, p1: Point3, p2: Point3) -> Line3","titles":["Module mbcp.mp_math.line","class Line3"]},"56":{"title":"method self & other: Line3 => Line3 | Point3 | None","titles":["Module mbcp.mp_math.line","class Line3"]},"57":{"title":"method self == other => bool","titles":["Module mbcp.mp_math.line","class Line3"]},"58":{"title":"Module mbcp.mp_math.mp_math_typing","titles":[]},"59":{"title":"var RealNumber","titles":["Module mbcp.mp_math.mp_math_typing"]},"60":{"title":"var Number","titles":["Module mbcp.mp_math.mp_math_typing"]},"61":{"title":"var SingleVar","titles":["Module mbcp.mp_math.mp_math_typing"]},"62":{"title":"var ArrayVar","titles":["Module mbcp.mp_math.mp_math_typing"]},"63":{"title":"var Var","titles":["Module mbcp.mp_math.mp_math_typing"]},"64":{"title":"var OneSingleVarFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"65":{"title":"var OneArrayFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"66":{"title":"var OneVarFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"67":{"title":"var TwoSingleVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"68":{"title":"var TwoArraysFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"69":{"title":"var TwoVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"70":{"title":"var ThreeSingleVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"71":{"title":"var ThreeArraysFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"72":{"title":"var ThreeVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"73":{"title":"var MultiSingleVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"74":{"title":"var MultiArraysFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"75":{"title":"var MultiVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"76":{"title":"Module mbcp.mp_math.point","titles":[]},"77":{"title":"class Point3","titles":["Module mbcp.mp_math.point"]},"78":{"title":"method __init__(self, x: float, y: float, z: float)","titles":["Module mbcp.mp_math.point","class Point3"]},"79":{"title":"method approx(self, other: Point3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.point","class Point3"]},"80":{"title":"method self + other: Vector3 => Point3","titles":["Module mbcp.mp_math.point","class Point3"]},"81":{"title":"method self + other: Point3 => Point3","titles":["Module mbcp.mp_math.point","class Point3"]},"82":{"title":"method self + other","titles":["Module mbcp.mp_math.point","class Point3"]},"83":{"title":"method self == other","titles":["Module mbcp.mp_math.point","class Point3"]},"84":{"title":"method self - other: Point3 => Vector3","titles":["Module mbcp.mp_math.point","class Point3"]},"85":{"title":"Module mbcp.mp_math.plane","titles":[]},"86":{"title":"class Plane3","titles":["Module mbcp.mp_math.plane"]},"87":{"title":"method __init__(self, a: float, b: float, c: float, d: float)","titles":["Module mbcp.mp_math.plane","class Plane3"]},"88":{"title":"method approx(self, other: Plane3) -> bool","titles":["Module mbcp.mp_math.plane","class Plane3"]},"89":{"title":"method cal_angle(self, other: Line3 | Plane3) -> AnyAngle","titles":["Module mbcp.mp_math.plane","class Plane3"]},"90":{"title":"method cal_distance(self, other: Plane3 | Point3) -> float","titles":["Module mbcp.mp_math.plane","class Plane3"]},"91":{"title":"method cal_intersection_line3(self, other: Plane3) -> Line3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"92":{"title":"method cal_intersection_point3(self, other: Line3) -> Point3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"93":{"title":"method cal_parallel_plane3(self, point: Point3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"94":{"title":"method is_parallel(self, other: Plane3) -> bool","titles":["Module mbcp.mp_math.plane","class Plane3"]},"95":{"title":"method normal(self) -> Vector3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"96":{"title":"method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"97":{"title":"method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"98":{"title":"method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"99":{"title":"method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"100":{"title":"method self & other: Line3 => Point3 | None","titles":["Module mbcp.mp_math.plane","class Plane3"]},"101":{"title":"method self & other: Plane3 => Line3 | None","titles":["Module mbcp.mp_math.plane","class Plane3"]},"102":{"title":"method self & other","titles":["Module mbcp.mp_math.plane","class Plane3"]},"103":{"title":"method self == other => bool","titles":["Module mbcp.mp_math.plane","class Plane3"]},"104":{"title":"method self & other: Line3 => Point3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"105":{"title":"Module mbcp.mp_math.segment","titles":[]},"106":{"title":"class Segment3","titles":["Module mbcp.mp_math.segment"]},"107":{"title":"method __init__(self, p1: Point3, p2: Point3)","titles":["Module mbcp.mp_math.segment","class Segment3"]},"108":{"title":"Module mbcp.mp_math.utils","titles":[]},"109":{"title":"func clamp(x: float, min_: float, max_: float) -> float","titles":["Module mbcp.mp_math.utils"]},"110":{"title":"class Approx","titles":["Module mbcp.mp_math.utils"]},"111":{"title":"method __init__(self, value: RealNumber)","titles":["Module mbcp.mp_math.utils","class Approx"]},"112":{"title":"method self == other","titles":["Module mbcp.mp_math.utils","class Approx"]},"113":{"title":"method raise_type_error(self, other)","titles":["Module mbcp.mp_math.utils","class Approx"]},"114":{"title":"method self != other","titles":["Module mbcp.mp_math.utils","class Approx"]},"115":{"title":"func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.utils"]},"116":{"title":"func sign(x: float, only_neg: bool = False) -> str","titles":["Module mbcp.mp_math.utils"]},"117":{"title":"func sign_format(x: float, only_neg: bool = False) -> str","titles":["Module mbcp.mp_math.utils"]},"118":{"title":"Module mbcp.mp_math.vector","titles":[]},"119":{"title":"class Vector3","titles":["Module mbcp.mp_math.vector"]},"120":{"title":"method __init__(self, x: float, y: float, z: float)","titles":["Module mbcp.mp_math.vector","class Vector3"]},"121":{"title":"method approx(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.vector","class Vector3"]},"122":{"title":"method cal_angle(self, other: Vector3) -> AnyAngle","titles":["Module mbcp.mp_math.vector","class Vector3"]},"123":{"title":"method cross(self, other: Vector3) -> Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"124":{"title":"method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.vector","class Vector3"]},"125":{"title":"method is_parallel(self, other: Vector3) -> bool","titles":["Module mbcp.mp_math.vector","class Vector3"]},"126":{"title":"method normalize(self)","titles":["Module mbcp.mp_math.vector","class Vector3"]},"127":{"title":"method np_array(self) -> np.ndarray","titles":["Module mbcp.mp_math.vector","class Vector3"]},"128":{"title":"method length(self) -> float","titles":["Module mbcp.mp_math.vector","class Vector3"]},"129":{"title":"method unit(self) -> Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"130":{"title":"method __abs__(self)","titles":["Module mbcp.mp_math.vector","class Vector3"]},"131":{"title":"method self + other: Vector3 => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"132":{"title":"method self + other: Point3 => Point3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"133":{"title":"method self + other","titles":["Module mbcp.mp_math.vector","class Vector3"]},"134":{"title":"method self == other","titles":["Module mbcp.mp_math.vector","class Vector3"]},"135":{"title":"method self + other: Point3 => Point3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"136":{"title":"method self - other: Vector3 => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"137":{"title":"method self - other: Point3 => Point3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"138":{"title":"method self - other","titles":["Module mbcp.mp_math.vector","class Vector3"]},"139":{"title":"method self - other: Point3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"140":{"title":"method self * other: Vector3 => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"141":{"title":"method self * other: RealNumber => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"142":{"title":"method self * other: int | float | Vector3 => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"143":{"title":"method self * other: RealNumber => 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mbcp.mp_math.angle","class AnyAngle(Angle)"]},"20":{"title":"method self / other: float => AnyAngle","titles":["モジュール mbcp.mp_math.angle","class AnyAngle(Angle)"]},"21":{"title":"method self / other: AnyAngle => float","titles":["モジュール mbcp.mp_math.angle","class AnyAngle(Angle)"]},"22":{"title":"method self / other","titles":["モジュール mbcp.mp_math.angle","class AnyAngle(Angle)"]},"23":{"title":"モジュール mbcp.mp_math.const","titles":[]},"24":{"title":"var PI","titles":["モジュール mbcp.mp_math.const"]},"25":{"title":"var E","titles":["モジュール mbcp.mp_math.const"]},"26":{"title":"var GOLDEN_RATIO","titles":["モジュール mbcp.mp_math.const"]},"27":{"title":"var GAMMA","titles":["モジュール mbcp.mp_math.const"]},"28":{"title":"var EPSILON","titles":["モジュール mbcp.mp_math.const"]},"29":{"title":"var APPROX","titles":["モジュール mbcp.mp_math.const"]},"30":{"title":"モジュール mbcp.mp_math.equation","titles":[]},"31":{"title":"class CurveEquation","titles":["モジュール mbcp.mp_math.equation"]},"32":{"title":"method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)","titles":["モジュール mbcp.mp_math.equation","class CurveEquation"]},"33":{"title":"method self () *t: Var => Point3 | tuple[Point3, ...]","titles":["モジュール mbcp.mp_math.equation","class CurveEquation"]},"34":{"title":"func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc","titles":["モジュール mbcp.mp_math.equation"]},"35":{"title":"モジュール mbcp.mp_math.function","titles":[]},"36":{"title":"func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3","titles":["モジュール mbcp.mp_math.function"]},"37":{"title":"func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc","titles":["モジュール mbcp.mp_math.function"]},"38":{"title":"モジュール mbcp.mp_math","titles":[]},"39":{"title":"モジュール mbcp.mp_math.line","titles":[]},"40":{"title":"class Line3","titles":["モジュール mbcp.mp_math.line"]},"41":{"title":"method __init__(self, point: Point3, direction: Vector3)","titles":["モジュール mbcp.mp_math.line","class Line3"]},"42":{"title":"method approx(self, other: Line3, epsilon: float = APPROX) -> bool","titles":["モジュール mbcp.mp_math.line","class Line3"]},"43":{"title":"method cal_angle(self, other: Line3) -> AnyAngle","titles":["モジュール mbcp.mp_math.line","class Line3"]},"44":{"title":"method cal_distance(self, other: Line3 | Point3) -> float","titles":["モジュール mbcp.mp_math.line","class Line3"]},"45":{"title":"method cal_intersection(self, other: Line3) -> Point3","titles":["モジュール mbcp.mp_math.line","class Line3"]},"46":{"title":"method cal_perpendicular(self, point: Point3) -> Line3","titles":["モジュール mbcp.mp_math.line","class Line3"]},"47":{"title":"method get_point(self, t: RealNumber) -> Point3","titles":["モジュール mbcp.mp_math.line","class Line3"]},"48":{"title":"method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]","titles":["モジュール mbcp.mp_math.line","class Line3"]},"49":{"title":"method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool","titles":["モジュール mbcp.mp_math.line","class Line3"]},"50":{"title":"method is_parallel(self, other: Line3) -> bool","titles":["モジュール mbcp.mp_math.line","class Line3"]},"51":{"title":"method is_collinear(self, other: Line3) -> bool","titles":["モジュール mbcp.mp_math.line","class Line3"]},"52":{"title":"method is_point_on(self, point: Point3) -> bool","titles":["モジュール mbcp.mp_math.line","class Line3"]},"53":{"title":"method is_coplanar(self, other: Line3) -> bool","titles":["モジュール mbcp.mp_math.line","class Line3"]},"54":{"title":"method simplify(self)","titles":["モジュール mbcp.mp_math.line","class Line3"]},"55":{"title":"method from_two_points(cls, p1: Point3, p2: Point3) -> Line3","titles":["モジュール mbcp.mp_math.line","class Line3"]},"56":{"title":"method self & other: Line3 => Line3 | Point3 | None","titles":["モジュール mbcp.mp_math.line","class Line3"]},"57":{"title":"method self == other => bool","titles":["モジュール mbcp.mp_math.line","class Line3"]},"58":{"title":"モジュール mbcp.mp_math.mp_math_typing","titles":[]},"59":{"title":"var RealNumber","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"60":{"title":"var Number","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"61":{"title":"var SingleVar","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"62":{"title":"var ArrayVar","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"63":{"title":"var Var","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"64":{"title":"var OneSingleVarFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"65":{"title":"var OneArrayFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"66":{"title":"var OneVarFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"67":{"title":"var TwoSingleVarsFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"68":{"title":"var TwoArraysFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"69":{"title":"var TwoVarsFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"70":{"title":"var ThreeSingleVarsFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"71":{"title":"var ThreeArraysFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"72":{"title":"var ThreeVarsFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"73":{"title":"var MultiSingleVarsFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"74":{"title":"var MultiArraysFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"75":{"title":"var MultiVarsFunc","titles":["モジュール mbcp.mp_math.mp_math_typing"]},"76":{"title":"モジュール mbcp.mp_math.plane","titles":[]},"77":{"title":"class Plane3","titles":["モジュール mbcp.mp_math.plane"]},"78":{"title":"method __init__(self, a: float, b: float, c: float, d: float)","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"79":{"title":"method approx(self, other: Plane3) -> bool","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"80":{"title":"method cal_angle(self, other: Line3 | Plane3) -> AnyAngle","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"81":{"title":"method cal_distance(self, other: Plane3 | Point3) -> float","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"82":{"title":"method cal_intersection_line3(self, other: Plane3) -> Line3","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"83":{"title":"method cal_intersection_point3(self, other: Line3) -> Point3","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"84":{"title":"method cal_parallel_plane3(self, point: Point3) -> Plane3","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"85":{"title":"method is_parallel(self, other: Plane3) -> bool","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"86":{"title":"method normal(self) -> Vector3","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"87":{"title":"method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"88":{"title":"method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"89":{"title":"method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"90":{"title":"method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"91":{"title":"method self & other: Line3 => Point3 | None","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"92":{"title":"method self & other: Plane3 => Line3 | None","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"93":{"title":"method self & other","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"94":{"title":"method self == other => bool","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"95":{"title":"method self & other: Line3 => Point3","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"96":{"title":"モジュール mbcp.mp_math.point","titles":[]},"97":{"title":"class Point3","titles":["モジュール mbcp.mp_math.point"]},"98":{"title":"method __init__(self, x: float, y: float, z: float)","titles":["モジュール mbcp.mp_math.point","class Point3"]},"99":{"title":"method approx(self, other: Point3, epsilon: float = APPROX) -> bool","titles":["モジュール mbcp.mp_math.point","class Point3"]},"100":{"title":"method self + other: Vector3 => Point3","titles":["モジュール mbcp.mp_math.point","class Point3"]},"101":{"title":"method self + other: Point3 => Point3","titles":["モジュール mbcp.mp_math.point","class Point3"]},"102":{"title":"method self + other","titles":["モジュール mbcp.mp_math.point","class Point3"]},"103":{"title":"method self == other","titles":["モジュール mbcp.mp_math.point","class Point3"]},"104":{"title":"method self - other: Point3 => Vector3","titles":["モジュール mbcp.mp_math.point","class Point3"]},"105":{"title":"モジュール mbcp.mp_math.segment","titles":[]},"106":{"title":"class Segment3","titles":["モジュール mbcp.mp_math.segment"]},"107":{"title":"method __init__(self, p1: Point3, p2: Point3)","titles":["モジュール mbcp.mp_math.segment","class Segment3"]},"108":{"title":"モジュール mbcp.mp_math.utils","titles":[]},"109":{"title":"func clamp(x: float, min_: float, max_: float) -> float","titles":["モジュール mbcp.mp_math.utils"]},"110":{"title":"class Approx","titles":["モジュール mbcp.mp_math.utils"]},"111":{"title":"method __init__(self, value: RealNumber)","titles":["モジュール mbcp.mp_math.utils","class Approx"]},"112":{"title":"method self == other","titles":["モジュール mbcp.mp_math.utils","class Approx"]},"113":{"title":"method raise_type_error(self, other)","titles":["モジュール mbcp.mp_math.utils","class Approx"]},"114":{"title":"method self != other","titles":["モジュール mbcp.mp_math.utils","class Approx"]},"115":{"title":"func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool","titles":["モジュール mbcp.mp_math.utils"]},"116":{"title":"func sign(x: float, only_neg: bool = False) -> str","titles":["モジュール mbcp.mp_math.utils"]},"117":{"title":"func sign_format(x: float, only_neg: bool = False) -> str","titles":["モジュール mbcp.mp_math.utils"]},"118":{"title":"モジュール mbcp.mp_math.vector","titles":[]},"119":{"title":"class Vector3","titles":["モジュール mbcp.mp_math.vector"]},"120":{"title":"method __init__(self, x: float, y: float, z: float)","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"121":{"title":"method approx(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"122":{"title":"method cal_angle(self, other: Vector3) -> AnyAngle","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"123":{"title":"method cross(self, other: Vector3) -> Vector3","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"124":{"title":"method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"125":{"title":"method is_parallel(self, other: Vector3) -> bool","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"126":{"title":"method normalize(self)","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"127":{"title":"method project(self, other: Vector3) -> Vector3","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"128":{"title":"method np_array(self) -> np.ndarray","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"129":{"title":"method length(self) -> float","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"130":{"title":"method unit(self) -> Vector3","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"131":{"title":"method __abs__(self)","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"132":{"title":"method self + other: Vector3 => Vector3","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"133":{"title":"method self + other: Point3 => Point3","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"134":{"title":"method self + other","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"135":{"title":"method self == other","titles":["モジュール mbcp.mp_math.vector","class Vector3"]},"136":{"title":"method 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mbcp.mp_math.point","class Point3"]},"81":{"title":"method self + other: Point3 => Point3","titles":["モジュール mbcp.mp_math.point","class Point3"]},"82":{"title":"method self + other","titles":["モジュール mbcp.mp_math.point","class Point3"]},"83":{"title":"method self == other","titles":["モジュール mbcp.mp_math.point","class Point3"]},"84":{"title":"method self - other: Point3 => Vector3","titles":["モジュール mbcp.mp_math.point","class Point3"]},"85":{"title":"モジュール mbcp.mp_math.plane","titles":[]},"86":{"title":"class Plane3","titles":["モジュール mbcp.mp_math.plane"]},"87":{"title":"method __init__(self, a: float, b: float, c: float, d: float)","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"88":{"title":"method approx(self, other: Plane3) -> bool","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"89":{"title":"method cal_angle(self, other: Line3 | Plane3) -> AnyAngle","titles":["モジュール mbcp.mp_math.plane","class Plane3"]},"90":{"title":"method cal_distance(self, other: Plane3 | Point3) -> 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mbcp.mp_math.mp_math_typing"]},"60":{"title":"var Number","titles":["模組 mbcp.mp_math.mp_math_typing"]},"61":{"title":"var SingleVar","titles":["模組 mbcp.mp_math.mp_math_typing"]},"62":{"title":"var ArrayVar","titles":["模組 mbcp.mp_math.mp_math_typing"]},"63":{"title":"var Var","titles":["模組 mbcp.mp_math.mp_math_typing"]},"64":{"title":"var OneSingleVarFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"65":{"title":"var OneArrayFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"66":{"title":"var OneVarFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"67":{"title":"var TwoSingleVarsFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"68":{"title":"var TwoArraysFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"69":{"title":"var TwoVarsFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"70":{"title":"var ThreeSingleVarsFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"71":{"title":"var ThreeArraysFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"72":{"title":"var 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mbcp.mp_math.mp_math_typing"]},"60":{"title":"var Number","titles":["模組 mbcp.mp_math.mp_math_typing"]},"61":{"title":"var SingleVar","titles":["模組 mbcp.mp_math.mp_math_typing"]},"62":{"title":"var ArrayVar","titles":["模組 mbcp.mp_math.mp_math_typing"]},"63":{"title":"var Var","titles":["模組 mbcp.mp_math.mp_math_typing"]},"64":{"title":"var OneSingleVarFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"65":{"title":"var OneArrayFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"66":{"title":"var OneVarFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"67":{"title":"var TwoSingleVarsFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"68":{"title":"var TwoArraysFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"69":{"title":"var TwoVarsFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"70":{"title":"var ThreeSingleVarsFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"71":{"title":"var ThreeArraysFunc","titles":["模組 mbcp.mp_math.mp_math_typing"]},"72":{"title":"var 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z=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"en/api/mp_math/vector.md","filePath":"en/api/mp_math/vector.md"}'),l={name:"en/api/mp_math/vector.md"},n=a('

Module mbcp.mp_math.vector ​

本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

Description: 3维向量

Arguments:

  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):\n    self.x = x\n    self.y = y\n    self.z = z

method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​

Description: 判断两个向量是否近似相等。

Arguments:

Return: bool: 是否近似相等

Source code or View on GitHub
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])

method cal_angle(self, other: Vector3) -> AnyAngle ​

Description: 计算两个向量之间的夹角。

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Arguments:

Return: AnyAngle: 夹角

Source code or View on GitHub
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':\n    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)

method cross(self, other: Vector3) -> Vector3 ​

Description: 向量积 叉乘：v1 x v2 -> v3

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Arguments:

Return: Vector3: 叉乘结果

Source code or View on GitHub
python
def cross(self, other: 'Vector3') -> 'Vector3':\n    return Vector3(self.y * other.z - self.z * other.y, self.z * other.x - self.x * other.z, self.x * other.y - self.y * other.x)

method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​

Description: 判断两个向量是否近似平行。

Arguments:

Return: bool: 是否近似平行

Source code or View on GitHub
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return self.cross(other).length < epsilon

method is_parallel(self, other: Vector3) -> bool ​

Description: 判断两个向量是否平行。

Arguments:

Return: bool: 是否平行

Source code or View on GitHub
python
def is_parallel(self, other: 'Vector3') -> bool:\n    return self.cross(other).approx(zero_vector3)

method normalize(self) ​

Description: 将向量归一化。

自体归一化，不返回值。

Source code or View on GitHub
python
def normalize(self):\n    length = self.length\n    self.x /= length\n    self.y /= length\n    self.z /= length

@property

method np_array(self) -> np.ndarray ​

Return: np.ndarray: numpy数组

Source code or View on GitHub
python
@property\ndef np_array(self) -> 'np.ndarray':\n    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

Description: 向量的模。

Return: float: 模

Source code or View on GitHub
python
@property\ndef length(self) -> float:\n    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

Description: 获取该向量的单位向量。

Return: Vector3: 单位向量

Source code or View on GitHub
python
@property\ndef unit(self) -> 'Vector3':\n    return self / self.length

method __abs__(self) ​

Source code or View on GitHub
python
def __abs__(self):\n    return self.length

@overload

method self + other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload\ndef __add__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self + other: Point3 => Point3 ​

Source code or View on GitHub
python
@overload\ndef __add__(self, other: 'Point3') -> 'Point3':\n    ...

method self + other ​

Description: V + P -> P

V + V -> V

Arguments:

Return: Vector3 | Point3: 新的向量或点

Source code or View on GitHub
python
def __add__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x + other.x, self.y + other.y, self.z + other.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

Description: 判断两个向量是否相等。

Arguments:

Return: bool: 是否相等

Source code or View on GitHub
python
def __eq__(self, other):\n    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

Description: P + V -> P

别去点那边实现了。

Arguments:

Return: Point3: 新的点

Source code or View on GitHub
python
def __radd__(self, other: 'Point3') -> 'Point3':\n    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload\ndef __sub__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self - other: Point3 => Point3 ​

Source code or View on GitHub
python
@overload\ndef __sub__(self, other: 'Point3') -> 'Point3':\n    ...

method self - other ​

Description: V - P -> P

V - V -> V

Arguments:

Return: Vector3 | Point3: 新的向量

Source code or View on GitHub
python
def __sub__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x - other.x, self.y - other.y, self.z - other.z)\n    else:\n        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

Description: P - V -> P

Arguments:

Return: Point3: 新的点

Source code or View on GitHub
python
def __rsub__(self, other: 'Point3'):\n    if isinstance(other, Point3):\n        return Point3(other.x - self.x, other.y - self.y, other.z - self.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload\ndef __mul__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self * other: RealNumber => Vector3 ​

Source code or View on GitHub
python
@overload\ndef __mul__(self, other: RealNumber) -> 'Vector3':\n    ...

method self * other: int | float | Vector3 => Vector3 ​

Description: 数组运算 非点乘。点乘使用@，叉乘使用cross。

Arguments:

Return: Vector3: 数组运算结果

Source code or View on GitHub
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':\n    if isinstance(other, Vector3):\n        return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)\n    elif isinstance(other, (float, int)):\n        return Vector3(self.x * other, self.y * other, self.z * other)\n    else:\n        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

Source code or View on GitHub
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':\n    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

Description: 点乘。

Arguments:

Return: float: 点乘结果

Source code or View on GitHub
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':\n    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

Description: 取负。

Return: Vector3: 负向量

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

var zero_vector3 ​

  • Description: 零向量

  • Type: Vector3

  • Default: Vector3(0, 0, 0)

var x_axis ​

  • Description: x轴单位向量

  • Type: Vector3

  • Default: Vector3(1, 0, 0)

var y_axis ​

  • Description: y轴单位向量

  • Type: Vector3

  • Default: Vector3(0, 1, 0)

var z_axis ​

  • Description: z轴单位向量

  • Type: Vector3

  • Default: Vector3(0, 0, 1)

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Module mbcp.mp_math.vector ​

本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

Description: 3维向量

Arguments:

  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):\n    self.x = x\n    self.y = y\n    self.z = z

method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​

Description: 判断两个向量是否近似相等。

Arguments:

Return: bool: 是否近似相等

Source code or View on GitHub
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])

method cal_angle(self, other: Vector3) -> AnyAngle ​

Description: 计算两个向量之间的夹角。

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Arguments:

Return: AnyAngle: 夹角

Source code or View on GitHub
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':\n    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)

method cross(self, other: Vector3) -> Vector3 ​

Description: 向量积 叉乘：v1 x v2 -> v3

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Arguments:

Return: Vector3: 叉乘结果

Source code or View on GitHub
python
def cross(self, other: 'Vector3') -> 'Vector3':\n    return Vector3(self.y * other.z - self.z * other.y, self.z * other.x - self.x * other.z, self.x * other.y - self.y * other.x)

method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​

Description: 判断两个向量是否近似平行。

Arguments:

Return: bool: 是否近似平行

Source code or View on GitHub
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return self.cross(other).length < epsilon

method is_parallel(self, other: Vector3) -> bool ​

Description: 判断两个向量是否平行。

Arguments:

Return: bool: 是否平行

Source code or View on GitHub
python
def is_parallel(self, other: 'Vector3') -> bool:\n    return self.cross(other).approx(zero_vector3)

method normalize(self) ​

Description: 将向量归一化。

自体归一化，不返回值。

Source code or View on GitHub
python
def normalize(self):\n    length = self.length\n    self.x /= length\n    self.y /= length\n    self.z /= length

method project(self, other: Vector3) -> Vector3 ​

Arguments:

Return: Vector3: 投影向量

Source code or View on GitHub
python
def project(self, other: 'Vector3') -> 'Vector3':\n    return self @ other / other.length * other.unit

@property

method np_array(self) -> np.ndarray ​

Return: np.ndarray: numpy数组

Source code or View on GitHub
python
@property\ndef np_array(self) -> 'np.ndarray':\n    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

Description: 向量的模。

Return: float: 模

Source code or View on GitHub
python
@property\ndef length(self) -> float:\n    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

Description: 获取该向量的单位向量。

Return: Vector3: 单位向量

Source code or View on GitHub
python
@property\ndef unit(self) -> 'Vector3':\n    return self / self.length

method __abs__(self) ​

Source code or View on GitHub
python
def __abs__(self):\n    return self.length

@overload

method self + other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload\ndef __add__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self + other: Point3 => Point3 ​

Source code or View on GitHub
python
@overload\ndef __add__(self, other: 'Point3') -> 'Point3':\n    ...

method self + other ​

Description: V + P -> P

V + V -> V

Arguments:

Return: Vector3 | Point3: 新的向量或点

Source code or View on GitHub
python
def __add__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x + other.x, self.y + other.y, self.z + other.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

Description: 判断两个向量是否相等。

Arguments:

Return: bool: 是否相等

Source code or View on GitHub
python
def __eq__(self, other):\n    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

Description: P + V -> P

别去点那边实现了。

Arguments:

Return: Point3: 新的点

Source code or View on GitHub
python
def __radd__(self, other: 'Point3') -> 'Point3':\n    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload\ndef __sub__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self - other: Point3 => Point3 ​

Source code or View on GitHub
python
@overload\ndef __sub__(self, other: 'Point3') -> 'Point3':\n    ...

method self - other ​

Description: V - P -> P

V - V -> V

Arguments:

Return: Vector3 | Point3: 新的向量

Source code or View on GitHub
python
def __sub__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x - other.x, self.y - other.y, self.z - other.z)\n    else:\n        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

Description: P - V -> P

Arguments:

Return: Point3: 新的点

Source code or View on GitHub
python
def __rsub__(self, other: 'Point3'):\n    if isinstance(other, Point3):\n        return Point3(other.x - self.x, other.y - self.y, other.z - self.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload\ndef __mul__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self * other: RealNumber => Vector3 ​

Source code or View on GitHub
python
@overload\ndef __mul__(self, other: RealNumber) -> 'Vector3':\n    ...

method self * other: int | float | Vector3 => Vector3 ​

Description: 数组运算 非点乘。点乘使用@，叉乘使用cross。

Arguments:

Return: Vector3: 数组运算结果

Source code or View on GitHub
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':\n    if isinstance(other, Vector3):\n        return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)\n    elif isinstance(other, (float, int)):\n        return Vector3(self.x * other, self.y * other, self.z * other)\n    else:\n        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

Source code or View on GitHub
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':\n    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

Description: 点乘。

Arguments:

Return: float: 点乘结果

Source code or View on GitHub
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':\n    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

Description: 取负。

Return: Vector3: 负向量

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

var zero_vector3 ​

  • Description: 零向量

  • Type: Vector3

  • Default: Vector3(0, 0, 0)

var x_axis ​

  • Description: x轴单位向量

  • Type: Vector3

  • Default: Vector3(1, 0, 0)

var y_axis ​

  • Description: y轴单位向量

  • Type: Vector3

  • Default: Vector3(0, 1, 0)

var z_axis ​

  • Description: z轴单位向量

  • Type: Vector3

  • Default: Vector3(0, 0, 1)

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z=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"ja/api/mp_math/vector.md","filePath":"ja/api/mp_math/vector.md"}'),l={name:"ja/api/mp_math/vector.md"},h=a('

モジュール mbcp.mp_math.vector ​

本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

説明: 3维向量

引数:

  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):\n    self.x = x\n    self.y = y\n    self.z = z

method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​

説明: 判断两个向量是否近似相等。

引数:

戻り値: bool: 是否近似相等

ソースコード または GitHubで表示
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])

method cal_angle(self, other: Vector3) -> AnyAngle ​

説明: 计算两个向量之间的夹角。

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引数:

戻り値: AnyAngle: 夹角

ソースコード または GitHubで表示
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':\n    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)

method cross(self, other: Vector3) -> Vector3 ​

説明: 向量积 叉乘：v1 x v2 -> v3

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引数:

戻り値: Vector3: 叉乘结果

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

method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​

説明: 判断两个向量是否近似平行。

引数:

戻り値: bool: 是否近似平行

ソースコード または GitHubで表示
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return self.cross(other).length < epsilon

method is_parallel(self, other: Vector3) -> bool ​

説明: 判断两个向量是否平行。

引数:

戻り値: bool: 是否平行

ソースコード または GitHubで表示
python
def is_parallel(self, other: 'Vector3') -> bool:\n    return self.cross(other).approx(zero_vector3)

method normalize(self) ​

説明: 将向量归一化。

自体归一化，不返回值。

ソースコード または GitHubで表示
python
def normalize(self):\n    length = self.length\n    self.x /= length\n    self.y /= length\n    self.z /= length

@property

method np_array(self) -> np.ndarray ​

戻り値: np.ndarray: numpy数组

ソースコード または GitHubで表示
python
@property\ndef np_array(self) -> 'np.ndarray':\n    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

説明: 向量的模。

戻り値: float: 模

ソースコード または GitHubで表示
python
@property\ndef length(self) -> float:\n    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

説明: 获取该向量的单位向量。

戻り値: Vector3: 单位向量

ソースコード または GitHubで表示
python
@property\ndef unit(self) -> 'Vector3':\n    return self / self.length

method __abs__(self) ​

ソースコード または GitHubで表示
python
def __abs__(self):\n    return self.length

@overload

method self + other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload\ndef __add__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self + other: Point3 => Point3 ​

ソースコード または GitHubで表示
python
@overload\ndef __add__(self, other: 'Point3') -> 'Point3':\n    ...

method self + other ​

説明: V + P -> P

V + V -> V

引数:

戻り値: Vector3 | Point3: 新的向量或点

ソースコード または GitHubで表示
python
def __add__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x + other.x, self.y + other.y, self.z + other.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

説明: 判断两个向量是否相等。

引数:

戻り値: bool: 是否相等

ソースコード または GitHubで表示
python
def __eq__(self, other):\n    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

説明: P + V -> P

别去点那边实现了。

引数:

戻り値: Point3: 新的点

ソースコード または GitHubで表示
python
def __radd__(self, other: 'Point3') -> 'Point3':\n    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload\ndef __sub__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self - other: Point3 => Point3 ​

ソースコード または GitHubで表示
python
@overload\ndef __sub__(self, other: 'Point3') -> 'Point3':\n    ...

method self - other ​

説明: V - P -> P

V - V -> V

引数:

戻り値: Vector3 | Point3: 新的向量

ソースコード または GitHubで表示
python
def __sub__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x - other.x, self.y - other.y, self.z - other.z)\n    else:\n        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

説明: P - V -> P

引数:

戻り値: Point3: 新的点

ソースコード または GitHubで表示
python
def __rsub__(self, other: 'Point3'):\n    if isinstance(other, Point3):\n        return Point3(other.x - self.x, other.y - self.y, other.z - self.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload\ndef __mul__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self * other: RealNumber => Vector3 ​

ソースコード または GitHubで表示
python
@overload\ndef __mul__(self, other: RealNumber) -> 'Vector3':\n    ...

method self * other: int | float | Vector3 => Vector3 ​

説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

引数:

戻り値: Vector3: 数组运算结果

ソースコード または GitHubで表示
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':\n    if isinstance(other, Vector3):\n        return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)\n    elif isinstance(other, (float, int)):\n        return Vector3(self.x * other, self.y * other, self.z * other)\n    else:\n        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

ソースコード または GitHubで表示
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':\n    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

説明: 点乘。

引数:

戻り値: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

説明: 取负。

戻り値: Vector3: 负向量

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

var zero_vector3 ​

  • 説明: 零向量

  • タイプ: Vector3

  • デフォルト: Vector3(0, 0, 0)

var x_axis ​

  • 説明: x轴单位向量

  • タイプ: Vector3

  • デフォルト: Vector3(1, 0, 0)

var y_axis ​

  • 説明: y轴单位向量

  • タイプ: Vector3

  • デフォルト: Vector3(0, 1, 0)

var z_axis ​

  • 説明: z轴单位向量

  • タイプ: Vector3

  • デフォルト: Vector3(0, 0, 1)

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モジュール mbcp.mp_math.vector ​

本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

説明: 3维向量

引数:

  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
ソースコード または GitHubで表示
python
def __init__(self, x: float, y: float, z: float):\n    self.x = x\n    self.y = y\n    self.z = z

method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​

説明: 判断两个向量是否近似相等。

引数:

戻り値: bool: 是否近似相等

ソースコード または GitHubで表示
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])

method cal_angle(self, other: Vector3) -> AnyAngle ​

説明: 计算两个向量之间的夹角。

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引数:

戻り値: AnyAngle: 夹角

ソースコード または GitHubで表示
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':\n    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)

method cross(self, other: Vector3) -> Vector3 ​

説明: 向量积 叉乘：v1 x v2 -> v3

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引数:

戻り値: Vector3: 叉乘结果

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

method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​

説明: 判断两个向量是否近似平行。

引数:

戻り値: bool: 是否近似平行

ソースコード または GitHubで表示
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return self.cross(other).length < epsilon

method is_parallel(self, other: Vector3) -> bool ​

説明: 判断两个向量是否平行。

引数:

戻り値: bool: 是否平行

ソースコード または GitHubで表示
python
def is_parallel(self, other: 'Vector3') -> bool:\n    return self.cross(other).approx(zero_vector3)

method normalize(self) ​

説明: 将向量归一化。

自体归一化，不返回值。

ソースコード または GitHubで表示
python
def normalize(self):\n    length = self.length\n    self.x /= length\n    self.y /= length\n    self.z /= length

method project(self, other: Vector3) -> Vector3 ​

引数:

戻り値: Vector3: 投影向量

ソースコード または GitHubで表示
python
def project(self, other: 'Vector3') -> 'Vector3':\n    return self @ other / other.length * other.unit

@property

method np_array(self) -> np.ndarray ​

戻り値: np.ndarray: numpy数组

ソースコード または GitHubで表示
python
@property\ndef np_array(self) -> 'np.ndarray':\n    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

説明: 向量的模。

戻り値: float: 模

ソースコード または GitHubで表示
python
@property\ndef length(self) -> float:\n    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

説明: 获取该向量的单位向量。

戻り値: Vector3: 单位向量

ソースコード または GitHubで表示
python
@property\ndef unit(self) -> 'Vector3':\n    return self / self.length

method __abs__(self) ​

ソースコード または GitHubで表示
python
def __abs__(self):\n    return self.length

@overload

method self + other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload\ndef __add__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self + other: Point3 => Point3 ​

ソースコード または GitHubで表示
python
@overload\ndef __add__(self, other: 'Point3') -> 'Point3':\n    ...

method self + other ​

説明: V + P -> P

V + V -> V

引数:

戻り値: Vector3 | Point3: 新的向量或点

ソースコード または GitHubで表示
python
def __add__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x + other.x, self.y + other.y, self.z + other.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

説明: 判断两个向量是否相等。

引数:

戻り値: bool: 是否相等

ソースコード または GitHubで表示
python
def __eq__(self, other):\n    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

説明: P + V -> P

别去点那边实现了。

引数:

戻り値: Point3: 新的点

ソースコード または GitHubで表示
python
def __radd__(self, other: 'Point3') -> 'Point3':\n    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload\ndef __sub__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self - other: Point3 => Point3 ​

ソースコード または GitHubで表示
python
@overload\ndef __sub__(self, other: 'Point3') -> 'Point3':\n    ...

method self - other ​

説明: V - P -> P

V - V -> V

引数:

戻り値: Vector3 | Point3: 新的向量

ソースコード または GitHubで表示
python
def __sub__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x - other.x, self.y - other.y, self.z - other.z)\n    else:\n        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

説明: P - V -> P

引数:

戻り値: Point3: 新的点

ソースコード または GitHubで表示
python
def __rsub__(self, other: 'Point3'):\n    if isinstance(other, Point3):\n        return Point3(other.x - self.x, other.y - self.y, other.z - self.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload\ndef __mul__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self * other: RealNumber => Vector3 ​

ソースコード または GitHubで表示
python
@overload\ndef __mul__(self, other: RealNumber) -> 'Vector3':\n    ...

method self * other: int | float | Vector3 => Vector3 ​

説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

引数:

戻り値: Vector3: 数组运算结果

ソースコード または GitHubで表示
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':\n    if isinstance(other, Vector3):\n        return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)\n    elif isinstance(other, (float, int)):\n        return Vector3(self.x * other, self.y * other, self.z * other)\n    else:\n        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

ソースコード または GitHubで表示
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':\n    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

説明: 点乘。

引数:

戻り値: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

説明: 取负。

戻り値: Vector3: 负向量

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

var zero_vector3 ​

  • 説明: 零向量

  • タイプ: Vector3

  • デフォルト: Vector3(0, 0, 0)

var x_axis ​

  • 説明: x轴单位向量

  • タイプ: Vector3

  • デフォルト: Vector3(1, 0, 0)

var y_axis ​

  • 説明: y轴单位向量

  • タイプ: Vector3

  • デフォルト: Vector3(0, 1, 0)

var z_axis ​

  • 説明: z轴单位向量

  • タイプ: Vector3

  • デフォルト: Vector3(0, 0, 1)

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模組 mbcp.mp_math.vector ​

本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

説明: 3维向量

變數説明:

  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):\n    self.x = x\n    self.y = y\n    self.z = z

method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​

説明: 判断两个向量是否近似相等。

變數説明:

返回: bool: 是否近似相等

源碼 或 於GitHub上查看
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])

method cal_angle(self, other: Vector3) -> AnyAngle ​

説明: 计算两个向量之间的夹角。

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變數説明:

返回: AnyAngle: 夹角

源碼 或 於GitHub上查看
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':\n    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)

method cross(self, other: Vector3) -> Vector3 ​

説明: 向量积 叉乘：v1 x v2 -> v3

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變數説明:

返回: Vector3: 叉乘结果

源碼 或 於GitHub上查看
python
def cross(self, other: 'Vector3') -> 'Vector3':\n    return Vector3(self.y * other.z - self.z * other.y, self.z * other.x - self.x * other.z, self.x * other.y - self.y * other.x)

method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​

説明: 判断两个向量是否近似平行。

變數説明:

返回: bool: 是否近似平行

源碼 或 於GitHub上查看
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return self.cross(other).length < epsilon

method is_parallel(self, other: Vector3) -> bool ​

説明: 判断两个向量是否平行。

變數説明:

返回: bool: 是否平行

源碼 或 於GitHub上查看
python
def is_parallel(self, other: 'Vector3') -> bool:\n    return self.cross(other).approx(zero_vector3)

method normalize(self) ​

説明: 将向量归一化。

自体归一化，不返回值。

源碼 或 於GitHub上查看
python
def normalize(self):\n    length = self.length\n    self.x /= length\n    self.y /= length\n    self.z /= length

@property

method np_array(self) -> np.ndarray ​

返回: np.ndarray: numpy数组

源碼 或 於GitHub上查看
python
@property\ndef np_array(self) -> 'np.ndarray':\n    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

説明: 向量的模。

返回: float: 模

源碼 或 於GitHub上查看
python
@property\ndef length(self) -> float:\n    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

説明: 获取该向量的单位向量。

返回: Vector3: 单位向量

源碼 或 於GitHub上查看
python
@property\ndef unit(self) -> 'Vector3':\n    return self / self.length

method __abs__(self) ​

源碼 或 於GitHub上查看
python
def __abs__(self):\n    return self.length

@overload

method self + other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __add__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self + other: Point3 => Point3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __add__(self, other: 'Point3') -> 'Point3':\n    ...

method self + other ​

説明: V + P -> P

V + V -> V

變數説明:

返回: Vector3 | Point3: 新的向量或点

源碼 或 於GitHub上查看
python
def __add__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x + other.x, self.y + other.y, self.z + other.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

説明: 判断两个向量是否相等。

變數説明:

返回: bool: 是否相等

源碼 或 於GitHub上查看
python
def __eq__(self, other):\n    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

説明: P + V -> P

别去点那边实现了。

變數説明:

返回: Point3: 新的点

源碼 或 於GitHub上查看
python
def __radd__(self, other: 'Point3') -> 'Point3':\n    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __sub__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self - other: Point3 => Point3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __sub__(self, other: 'Point3') -> 'Point3':\n    ...

method self - other ​

説明: V - P -> P

V - V -> V

變數説明:

返回: Vector3 | Point3: 新的向量

源碼 或 於GitHub上查看
python
def __sub__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x - other.x, self.y - other.y, self.z - other.z)\n    else:\n        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

説明: P - V -> P

變數説明:

返回: Point3: 新的点

源碼 或 於GitHub上查看
python
def __rsub__(self, other: 'Point3'):\n    if isinstance(other, Point3):\n        return Point3(other.x - self.x, other.y - self.y, other.z - self.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __mul__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self * other: RealNumber => Vector3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __mul__(self, other: RealNumber) -> 'Vector3':\n    ...

method self * other: int | float | Vector3 => Vector3 ​

説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

變數説明:

返回: Vector3: 数组运算结果

源碼 或 於GitHub上查看
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':\n    if isinstance(other, Vector3):\n        return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)\n    elif isinstance(other, (float, int)):\n        return Vector3(self.x * other, self.y * other, self.z * other)\n    else:\n        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

源碼 或 於GitHub上查看
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':\n    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

説明: 点乘。

變數説明:

返回: float: 点乘结果

源碼 或 於GitHub上查看
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':\n    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

説明: 取负。

返回: Vector3: 负向量

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

var zero_vector3 ​

  • 説明: 零向量

  • 類型: Vector3

  • 默認值: Vector3(0, 0, 0)

var x_axis ​

  • 説明: x轴单位向量

  • 類型: Vector3

  • 默認值: Vector3(1, 0, 0)

var y_axis ​

  • 説明: y轴单位向量

  • 類型: Vector3

  • 默認值: Vector3(0, 1, 0)

var z_axis ​

  • 説明: z轴单位向量

  • 類型: Vector3

  • 默認值: Vector3(0, 0, 1)

',115);function B(w,A,L,M,Z,P){return i(),t("div",null,[h,s("div",n,[r,p,s("mjx-container",o,[(i(),t("svg",d,T)),Q])]),g,s("div",m,[c,y,s("mjx-container",E,[(i(),t("svg",u,f)),F]),C,s("mjx-container",v,[(i(),t("svg",_,H)),x])]),D])}const G=e(l,[["render",B]]);export{z as __pageData,G as default}; +import{_ as e,c as t,j as s,a4 as a,o as i}from"./chunks/framework.DpC1ZpOZ.js";const z=JSON.parse('{"title":"mbcp.mp_math.vector","description":"","frontmatter":{"title":"mbcp.mp_math.vector","lastUpdated":false},"headers":[],"relativePath":"zht/api/mp_math/vector.md","filePath":"zht/api/mp_math/vector.md"}'),l={name:"zht/api/mp_math/vector.md"},h=a('

模組 mbcp.mp_math.vector ​

本模块定义了3维向量的类Vector3，以及一些常用的向量。

class Vector3 ​

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

説明: 3维向量

變數説明:

  • x (float): x轴分量
  • y (float): y轴分量
  • z (float): z轴分量
源碼 或 於GitHub上查看
python
def __init__(self, x: float, y: float, z: float):\n    self.x = x\n    self.y = y\n    self.z = z

method approx(self, other: Vector3, epsilon: float = APPROX) -> bool ​

説明: 判断两个向量是否近似相等。

變數説明:

返回: bool: 是否近似相等

源碼 或 於GitHub上查看
python
def approx(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])

method cal_angle(self, other: Vector3) -> AnyAngle ​

説明: 计算两个向量之间的夹角。

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變數説明:

返回: AnyAngle: 夹角

源碼 或 於GitHub上查看
python
def cal_angle(self, other: 'Vector3') -> 'AnyAngle':\n    return AnyAngle(math.acos(self @ other / (self.length * other.length)), is_radian=True)

method cross(self, other: Vector3) -> Vector3 ​

説明: 向量积 叉乘：v1 x v2 -> v3

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變數説明:

返回: Vector3: 叉乘结果

源碼 或 於GitHub上查看
python
def cross(self, other: 'Vector3') -> 'Vector3':\n    return Vector3(self.y * other.z - self.z * other.y, self.z * other.x - self.x * other.z, self.x * other.y - self.y * other.x)

method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool ​

説明: 判断两个向量是否近似平行。

變數説明:

返回: bool: 是否近似平行

源碼 或 於GitHub上查看
python
def is_approx_parallel(self, other: 'Vector3', epsilon: float=APPROX) -> bool:\n    return self.cross(other).length < epsilon

method is_parallel(self, other: Vector3) -> bool ​

説明: 判断两个向量是否平行。

變數説明:

返回: bool: 是否平行

源碼 或 於GitHub上查看
python
def is_parallel(self, other: 'Vector3') -> bool:\n    return self.cross(other).approx(zero_vector3)

method normalize(self) ​

説明: 将向量归一化。

自体归一化，不返回值。

源碼 或 於GitHub上查看
python
def normalize(self):\n    length = self.length\n    self.x /= length\n    self.y /= length\n    self.z /= length

method project(self, other: Vector3) -> Vector3 ​

變數説明:

返回: Vector3: 投影向量

源碼 或 於GitHub上查看
python
def project(self, other: 'Vector3') -> 'Vector3':\n    return self @ other / other.length * other.unit

@property

method np_array(self) -> np.ndarray ​

返回: np.ndarray: numpy数组

源碼 或 於GitHub上查看
python
@property\ndef np_array(self) -> 'np.ndarray':\n    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

説明: 向量的模。

返回: float: 模

源碼 或 於GitHub上查看
python
@property\ndef length(self) -> float:\n    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

説明: 获取该向量的单位向量。

返回: Vector3: 单位向量

源碼 或 於GitHub上查看
python
@property\ndef unit(self) -> 'Vector3':\n    return self / self.length

method __abs__(self) ​

源碼 或 於GitHub上查看
python
def __abs__(self):\n    return self.length

@overload

method self + other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __add__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self + other: Point3 => Point3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __add__(self, other: 'Point3') -> 'Point3':\n    ...

method self + other ​

説明: V + P -> P

V + V -> V

變數説明:

返回: Vector3 | Point3: 新的向量或点

源碼 或 於GitHub上查看
python
def __add__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x + other.x, self.y + other.y, self.z + other.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

説明: 判断两个向量是否相等。

變數説明:

返回: bool: 是否相等

源碼 或 於GitHub上查看
python
def __eq__(self, other):\n    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

説明: P + V -> P

别去点那边实现了。

變數説明:

返回: Point3: 新的点

源碼 或 於GitHub上查看
python
def __radd__(self, other: 'Point3') -> 'Point3':\n    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __sub__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self - other: Point3 => Point3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __sub__(self, other: 'Point3') -> 'Point3':\n    ...

method self - other ​

説明: V - P -> P

V - V -> V

變數説明:

返回: Vector3 | Point3: 新的向量

源碼 或 於GitHub上查看
python
def __sub__(self, other):\n    if isinstance(other, Vector3):\n        return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)\n    elif isinstance(other, Point3):\n        return Point3(self.x - other.x, self.y - other.y, self.z - other.z)\n    else:\n        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

説明: P - V -> P

變數説明:

返回: Point3: 新的点

源碼 或 於GitHub上查看
python
def __rsub__(self, other: 'Point3'):\n    if isinstance(other, Point3):\n        return Point3(other.x - self.x, other.y - self.y, other.z - self.z)\n    else:\n        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __mul__(self, other: 'Vector3') -> 'Vector3':\n    ...

@overload

method self * other: RealNumber => Vector3 ​

源碼 或 於GitHub上查看
python
@overload\ndef __mul__(self, other: RealNumber) -> 'Vector3':\n    ...

method self * other: int | float | Vector3 => Vector3 ​

説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

變數説明:

返回: Vector3: 数组运算结果

源碼 或 於GitHub上查看
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':\n    if isinstance(other, Vector3):\n        return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)\n    elif isinstance(other, (float, int)):\n        return Vector3(self.x * other, self.y * other, self.z * other)\n    else:\n        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

源碼 或 於GitHub上查看
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':\n    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

説明: 点乘。

變數説明:

返回: float: 点乘结果

源碼 或 於GitHub上查看
python
def __matmul__(self, other: 'Vector3') -> 'RealNumber':\n    return self.x * other.x + self.y * other.y + self.z * other.z

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

説明: 取负。

返回: Vector3: 负向量

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

var zero_vector3 ​

  • 説明: 零向量

  • 類型: Vector3

  • 默認值: Vector3(0, 0, 0)

var x_axis ​

  • 説明: x轴单位向量

  • 類型: Vector3

  • 默認值: Vector3(1, 0, 0)

var y_axis ​

  • 説明: y轴单位向量

  • 類型: Vector3

  • 默認值: Vector3(0, 1, 0)

var z_axis ​

  • 説明: z轴单位向量

  • 類型: Vector3

  • 默認值: Vector3(0, 0, 1)

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B(w,A,L,M,Z,q){return i(),t("div",null,[h,s("div",n,[r,p,s("mjx-container",o,[(i(),t("svg",d,T)),Q])]),g,s("div",m,[c,y,s("mjx-container",E,[(i(),t("svg",u,f)),F]),C,s("mjx-container",v,[(i(),t("svg",_,H)),x])]),D])}const G=e(l,[["render",B]]);export{z as __pageData,G as default}; diff --git a/demo/best-practice.html b/demo/best-practice.html index 3053aa0..71ff9d6 100644 --- a/demo/best-practice.html +++ b/demo/best-practice.html @@ -6,10 +6,10 @@ 最佳实践 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@ - + \ No newline at end of file diff --git a/demo/index.html b/demo/index.html index ce59a50..4f9bff8 100644 --- a/demo/index.html +++ b/demo/index.html @@ -6,10 +6,10 @@ demo | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
MBCP 文档

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繁體中文

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demo ​

文档由 VitePress 构建 | API引用由 litedoc 生成

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

- + \ No newline at end of file diff --git a/en/api/index.html b/en/api/index.html index 8520b53..28d0da7 100644 --- a/en/api/index.html +++ b/en/api/index.html @@ -6,10 +6,10 @@ mbcp | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

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Module mbcp ​

本模块是主模块，提供了一些工具 可导入

mbcp.mp_math：数学工具

mbcp.particle：粒子生成工具

mbcp.presets：预设

Documentation built with VitePress | API references generated by litedoc

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

- + \ No newline at end of file diff --git a/en/api/mp_math/angle.html b/en/api/mp_math/angle.html index 4dffc47..6522a9a 100644 --- a/en/api/mp_math/angle.html +++ b/en/api/mp_math/angle.html @@ -6,10 +6,10 @@ mbcp.mp_math.angle | MBCP docs - + - - + + @@ -56,7 +56,7 @@ if isinstance(other, AnyAngle): return self.radian / other.radian return AnyAngle(self.radian / other, is_radian=True)

Documentation built with VitePress | API references generated by litedoc

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

- + \ No newline at end of file diff --git a/en/api/mp_math/const.html b/en/api/mp_math/const.html index 87ae26b..7889768 100644 --- a/en/api/mp_math/const.html +++ b/en/api/mp_math/const.html @@ -6,10 +6,10 @@ mbcp.mp_math.const | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

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Module mbcp.mp_math.const ​

本模块定义了一些常用的常量

var PI ​

  • Description: 常量 π

  • Default: math.pi

var E ​

  • Description: 自然对数的底 exp(1)

  • Default: math.e

var GOLDEN_RATIO ​

  • Description: 黄金分割比

  • Default: (1 + math.sqrt(5)) / 2

var GAMMA ​

  • Description: 欧拉常数

  • Default: 0.5772156649015329

var EPSILON ​

  • Description: 精度误差

  • Default: 0.0001

var APPROX ​

  • Description: 约等于判定误差

  • Default: 0.001

Documentation built with VitePress | API references generated by litedoc

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

- + \ No newline at end of file diff --git a/en/api/mp_math/equation.html b/en/api/mp_math/equation.html index a10416f..1bd247f 100644 --- a/en/api/mp_math/equation.html +++ b/en/api/mp_math/equation.html @@ -6,10 +6,10 @@ mbcp.mp_math.equation | MBCP docs - + - - + + @@ -45,7 +45,7 @@ return high_order_partial_derivative_func else: raise ValueError('Invalid var type')

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/function.html b/en/api/mp_math/function.html index 7dccb4c..3f14c95 100644 --- a/en/api/mp_math/function.html +++ b/en/api/mp_math/function.html @@ -6,10 +6,10 @@ mbcp.mp_math.function | MBCP docs - + - - + + @@ -30,7 +30,7 @@ def curried_func(*args2: Var) -> Var: return func(*args, *args2) return curried_func

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/index.html b/en/api/mp_math/index.html index a8f0d0e..79d6220 100644 --- a/en/api/mp_math/index.html +++ b/en/api/mp_math/index.html @@ -6,10 +6,10 @@ mbcp.mp_math | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

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Module mbcp.mp_math ​

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

Documentation built with VitePress | API references generated by litedoc

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

- + \ No newline at end of file diff --git a/en/api/mp_math/line.html b/en/api/mp_math/line.html index 8f087e3..660ed0d 100644 --- a/en/api/mp_math/line.html +++ b/en/api/mp_math/line.html @@ -6,10 +6,10 @@ mbcp.mp_math.line | MBCP docs - + - - + + @@ -66,7 +66,7 @@ else: return self.cal_intersection(other)

method self == other => bool ​

Description: 判断两条直线是否等价。

v1 // v2 ∧ (p1 - p2) // v1

Arguments:

  • other (Line3): 另一条直线

Return: bool: 是否等价

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

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 0f0ae1e..8165235 100644 --- a/en/api/mp_math/mp_math_typing.html +++ b/en/api/mp_math/mp_math_typing.html @@ -6,10 +6,10 @@ mbcp.mp_math.mp_math_typing | MBCP docs - + - - + + @@ -19,7 +19,7 @@
MBCP docs

English

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English

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Module mbcp.mp_math.mp_math_typing ​

本模块用于内部类型提示

var RealNumber ​

  • Description: 实数

  • Type: TypeAlias

  • Default: int | float

var Number ​

  • Description: 数

  • Type: TypeAlias

  • Default: RealNumber | complex

var SingleVar ​

  • Description: 单变量

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

var ArrayVar ​

  • Description: 数组变量

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

var Var ​

  • Description: 变量

  • Type: TypeAlias

  • Default: SingleVar | ArrayVar

var OneSingleVarFunc ​

  • Description: 一元单变量函数

  • Type: TypeAlias

  • Default: Callable[[SingleVar], SingleVar]

var OneArrayFunc ​

  • Description: 一元数组函数

  • Type: TypeAlias

  • Default: Callable[[ArrayVar], ArrayVar]

var OneVarFunc ​

  • Description: 一元函数

  • Type: TypeAlias

  • Default: OneSingleVarFunc | OneArrayFunc

var TwoSingleVarsFunc ​

  • Description: 二元单变量函数

  • Type: TypeAlias

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

var TwoArraysFunc ​

  • Description: 二元数组函数

  • Type: TypeAlias

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

var TwoVarsFunc ​

  • Description: 二元函数

  • Type: TypeAlias

  • Default: TwoSingleVarsFunc | TwoArraysFunc

var ThreeSingleVarsFunc ​

  • Description: 三元单变量函数

  • Type: TypeAlias

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

var ThreeArraysFunc ​

  • Description: 三元数组函数

  • Type: TypeAlias

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

var ThreeVarsFunc ​

  • Description: 三元函数

  • Type: TypeAlias

  • Default: ThreeSingleVarsFunc | ThreeArraysFunc

var MultiSingleVarsFunc ​

  • Description: 多元单变量函数

  • Type: TypeAlias

  • Default: Callable[..., SingleVar]

var MultiArraysFunc ​

  • Description: 多元数组函数

  • Type: TypeAlias

  • Default: Callable[..., ArrayVar]

var MultiVarsFunc ​

  • Description: 多元函数

  • Type: TypeAlias

  • Default: MultiSingleVarsFunc | MultiArraysFunc

Documentation built with VitePress | API references generated by litedoc

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

- + \ No newline at end of file diff --git a/en/api/mp_math/plane.html b/en/api/mp_math/plane.html index f73754f..bccd2a3 100644 --- a/en/api/mp_math/plane.html +++ b/en/api/mp_math/plane.html @@ -6,10 +6,10 @@ mbcp.mp_math.plane | MBCP docs - + - - + + @@ -105,7 +105,7 @@ raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method self == other => bool ​

Description: 判断两个平面是否等价。

Arguments:

  • other (Plane3): 另一个平面

Return: bool: 是否等价

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

method self & other: Line3 => Point3 ​

Source code or View on GitHub
python
def __rand__(self, other: 'Line3') -> 'Point3':
     return self.cal_intersection_point3(other)

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/point.html b/en/api/mp_math/point.html index 78fb028..3e853dc 100644 --- a/en/api/mp_math/point.html +++ b/en/api/mp_math/point.html @@ -6,10 +6,10 @@ mbcp.mp_math.point | MBCP docs - + - - + + @@ -31,7 +31,7 @@ return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self - other: Point3 => Vector3 ​

Description: P - P -> V

P - V -> P 已在 Vector3 中实现

Arguments:

Return: Vector3: 新的向量

Source code or View on GitHub
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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/segment.html b/en/api/mp_math/segment.html index a7b6245..75de8e3 100644 --- a/en/api/mp_math/segment.html +++ b/en/api/mp_math/segment.html @@ -6,10 +6,10 @@ mbcp.mp_math.segment | MBCP docs - + - - + + @@ -27,7 +27,7 @@ self.length = self.direction.length '中心点' self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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/utils.html b/en/api/mp_math/utils.html index f8d3534..4672a2f 100644 --- a/en/api/mp_math/utils.html +++ b/en/api/mp_math/utils.html @@ -6,10 +6,10 @@ mbcp.mp_math.utils | MBCP docs - + - - + + @@ -46,7 +46,7 @@ return f'-{abs(x)}' else: return ''

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/vector.html b/en/api/mp_math/vector.html index 8f4b0d1..6281105 100644 --- a/en/api/mp_math/vector.html +++ b/en/api/mp_math/vector.html @@ -6,12 +6,12 @@ mbcp.mp_math.vector | MBCP docs - + - - + + - + @@ -30,55 +30,56 @@ length = self.length self.x /= length self.y /= length - self.z /= length

@property

method np_array(self) -> np.ndarray ​

Return: np.ndarray: numpy数组

Source code or View on GitHub
python
@property
+    self.z /= length

method project(self, other: Vector3) -> Vector3 ​

Arguments:

Return: Vector3: 投影向量

Source code or View on GitHub
python
def project(self, other: 'Vector3') -> 'Vector3':
+    return self @ other / other.length * other.unit

@property

method np_array(self) -> np.ndarray ​

Return: np.ndarray: numpy数组

Source code or View on GitHub
python
@property
 def np_array(self) -> 'np.ndarray':
-    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

Description: 向量的模。

Return: float: 模

Source code or View on GitHub
python
@property
+    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

Description: 向量的模。

Return: float: 模

Source code or View on GitHub
python
@property
 def length(self) -> float:
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

Description: 获取该向量的单位向量。

Return: Vector3: 单位向量

Source code or View on GitHub
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

Description: 获取该向量的单位向量。

Return: Vector3: 单位向量

Source code or View on GitHub
python
@property
 def unit(self) -> 'Vector3':
-    return self / self.length

method __abs__(self) ​

Source code or View on GitHub
python
def __abs__(self):
-    return self.length

@overload

method self + other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload
+    return self / self.length

method __abs__(self) ​

Source code or View on GitHub
python
def __abs__(self):
+    return self.length

@overload

method self + other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self + other: Point3 => Point3 ​

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

@overload

method self + other: Point3 => Point3 ​

Source code or View on GitHub
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...

method self + other ​

Description: V + P -> P

V + V -> V

Arguments:

Return: Vector3 | Point3: 新的向量或点

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

method self + other ​

Description: V + P -> P

V + V -> V

Arguments:

Return: Vector3 | Point3: 新的向量或点

Source code or View on GitHub
python
def __add__(self, other):
     if isinstance(other, Vector3):
         return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

Description: 判断两个向量是否相等。

Arguments:

Return: bool: 是否相等

Source code or View on GitHub
python
def __eq__(self, other):
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

Description: P + V -> P

别去点那边实现了。

Arguments:

Return: Point3: 新的点

Source code or View on GitHub
python
def __radd__(self, other: 'Point3') -> 'Point3':
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

Description: 判断两个向量是否相等。

Arguments:

Return: bool: 是否相等

Source code or View on GitHub
python
def __eq__(self, other):
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

Description: P + V -> P

别去点那边实现了。

Arguments:

Return: Point3: 新的点

Source code or View on GitHub
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self - other: Point3 => Point3 ​

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

@overload

method self - other: Point3 => Point3 ​

Source code or View on GitHub
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...

method self - other ​

Description: V - P -> P

V - V -> V

Arguments:

Return: Vector3 | Point3: 新的向量

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

method self - other ​

Description: V - P -> P

V - V -> V

Arguments:

Return: Vector3 | Point3: 新的向量

Source code or View on GitHub
python
def __sub__(self, other):
     if isinstance(other, Vector3):
         return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

Description: P - V -> P

Arguments:

Return: Point3: 新的点

Source code or View on GitHub
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

Description: P - V -> P

Arguments:

Return: Point3: 新的点

Source code or View on GitHub
python
def __rsub__(self, other: 'Point3'):
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

Source code or View on GitHub
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self * other: RealNumber => Vector3 ​

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

@overload

method self * other: RealNumber => Vector3 ​

Source code or View on GitHub
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...

method self * other: int | float | Vector3 => Vector3 ​

Description: 数组运算 非点乘。点乘使用@，叉乘使用cross。

Arguments:

Return: Vector3: 数组运算结果

Source code or View on GitHub
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...

method self * other: int | float | Vector3 => Vector3 ​

Description: 数组运算 非点乘。点乘使用@，叉乘使用cross。

Arguments:

Return: Vector3: 数组运算结果

Source code or View on GitHub
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     if isinstance(other, Vector3):
         return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

Source code or View on GitHub
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

Description: 点乘。

Arguments:

Return: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

Description: 取负。

Return: Vector3: 负向量

Source code or View on GitHub
python
def __neg__(self) -> 'Vector3':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

Source code or View on GitHub
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

Description: 点乘。

Arguments:

Return: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

Description: 取负。

Return: Vector3: 负向量

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

var zero_vector3 ​

  • Description: 零向量

  • Type: Vector3

  • Default: Vector3(0, 0, 0)

var x_axis ​

  • Description: x轴单位向量

  • Type: Vector3

  • Default: Vector3(1, 0, 0)

var y_axis ​

  • Description: y轴单位向量

  • Type: Vector3

  • Default: Vector3(0, 1, 0)

var z_axis ​

  • Description: z轴单位向量

  • Type: Vector3

  • Default: Vector3(0, 0, 1)

Documentation built with VitePress | API references generated by litedoc

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

- + \ No newline at end of file diff --git a/en/api/particle/index.html b/en/api/particle/index.html index b1bbea3..c243c3c 100644 --- a/en/api/particle/index.html +++ b/en/api/particle/index.html @@ -6,10 +6,10 @@ mbcp.particle | MBCP docs - + - - + + @@ -19,7 +19,7 @@ - + \ No newline at end of file diff --git a/en/api/presets/index.html b/en/api/presets/index.html index ec2a7c4..9aad9c7 100644 --- a/en/api/presets/index.html +++ b/en/api/presets/index.html @@ -6,10 +6,10 @@ mbcp.presets | MBCP docs - + - - + + @@ -19,7 +19,7 @@ - + \ No newline at end of file diff --git a/en/api/presets/model/index.html b/en/api/presets/model/index.html index 316ee67..5270a2c 100644 --- a/en/api/presets/model/index.html +++ b/en/api/presets/model/index.html @@ -6,10 +6,10 @@ mbcp.presets.model | MBCP docs - + - - + + @@ -28,7 +28,7 @@ y_array = radius * np.sin(phi_list) * np.sin(theta_list) z_array = radius * np.cos(phi_list) return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

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/demo/best-practice.html b/en/demo/best-practice.html index d346475..88c03a4 100644 --- a/en/demo/best-practice.html +++ b/en/demo/best-practice.html @@ -6,10 +6,10 @@ Best Practice | MBCP docs - + - - + + @@ -19,7 +19,7 @@ - + \ No newline at end of file diff --git a/en/guide/index.html b/en/guide/index.html index c89ba9a..61c25b7 100644 --- a/en/guide/index.html +++ b/en/guide/index.html @@ -6,10 +6,10 @@ 开始不了一点 | MBCP docs - + - - + + @@ -19,7 +19,7 @@
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开始不了一点 ​

∫12x111

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- + \ No newline at end of file diff --git a/en/index.html b/en/index.html index 613b3f3..00ae943 100644 --- a/en/index.html +++ b/en/index.html @@ -6,10 +6,10 @@ MBCP docs - + - - + + @@ -19,7 +19,7 @@
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MBCP

More basic change particle

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

Get Started
API Reference
Best Practice
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🛠️

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 3bf416d..83d8533 100644 --- a/en/refer/index.html +++ b/en/refer/index.html @@ -6,10 +6,10 @@ Reference | MBCP docs - + - - + + @@ -19,7 +19,7 @@
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Reference ​

help us to improve the documentation

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

- + \ No newline at end of file diff --git a/guide/index.html b/guide/index.html index dea6827..d07ac7c 100644 --- a/guide/index.html +++ b/guide/index.html @@ -6,10 +6,10 @@ 快速开始 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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快速开始 ​

TIP

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

安装 ​

shell
pip install mbcp

文档由 VitePress 构建 | API引用由 litedoc 生成

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- + \ No newline at end of file diff --git a/hashmap.json b/hashmap.json index 99d02d6..540ad9c 100644 --- a/hashmap.json +++ b/hashmap.json @@ -1 +1 @@ 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diff --git a/index.html b/index.html index af2959a..e4d0003 100644 --- a/index.html +++ b/index.html @@ -6,10 +6,10 @@ MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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MBCP

更多基础变换粒子

用于几何运算和Minecraft粒子制作的库

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API文档
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高可用性

通过简单的接口，实现了大部分几何运算和粒子制作的需求

📦

高集成度

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

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内置预设

提供了大量的预设，包括常见的几何图形、粒子效果等，方便快速制作

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- + \ No newline at end of file diff --git a/ja/api/index.html b/ja/api/index.html index d264b79..b7a82d5 100644 --- a/ja/api/index.html +++ b/ja/api/index.html @@ -6,10 +6,10 @@ mbcp | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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モジュール mbcp ​

本模块是主模块，提供了一些工具 可导入

mbcp.mp_math：数学工具

mbcp.particle：粒子生成工具

mbcp.presets：预设

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- + \ No newline at end of file diff --git a/ja/api/mp_math/angle.html b/ja/api/mp_math/angle.html index f8b794c..d9ac6cd 100644 --- a/ja/api/mp_math/angle.html +++ b/ja/api/mp_math/angle.html @@ -6,10 +6,10 @@ mbcp.mp_math.angle | MBCP ドキュメント - + - - + + @@ -56,7 +56,7 @@ if isinstance(other, AnyAngle): return self.radian / other.radian return AnyAngle(self.radian / other, is_radian=True)

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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 3d6685e..3280369 100644 --- a/ja/api/mp_math/const.html +++ b/ja/api/mp_math/const.html @@ -6,10 +6,10 @@ mbcp.mp_math.const | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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モジュール mbcp.mp_math.const ​

本模块定义了一些常用的常量

var PI ​

  • 説明: 常量 π

  • デフォルト: math.pi

var E ​

  • 説明: 自然对数的底 exp(1)

  • デフォルト: math.e

var GOLDEN_RATIO ​

  • 説明: 黄金分割比

  • デフォルト: (1 + math.sqrt(5)) / 2

var GAMMA ​

  • 説明: 欧拉常数

  • デフォルト: 0.5772156649015329

var EPSILON ​

  • 説明: 精度误差

  • デフォルト: 0.0001

var APPROX ​

  • 説明: 约等于判定误差

  • デフォルト: 0.001

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- + \ No newline at end of file diff --git a/ja/api/mp_math/equation.html b/ja/api/mp_math/equation.html index dee71d6..5743443 100644 --- a/ja/api/mp_math/equation.html +++ b/ja/api/mp_math/equation.html @@ -6,10 +6,10 @@ mbcp.mp_math.equation | MBCP ドキュメント - + - - + + @@ -45,7 +45,7 @@ return high_order_partial_derivative_func else: raise ValueError('Invalid var type')

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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 22e7601..16698ca 100644 --- a/ja/api/mp_math/function.html +++ b/ja/api/mp_math/function.html @@ -6,10 +6,10 @@ mbcp.mp_math.function | MBCP ドキュメント - + - - + + @@ -30,7 +30,7 @@ def curried_func(*args2: Var) -> Var: return func(*args, *args2) return curried_func

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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 28d16c6..d18f489 100644 --- a/ja/api/mp_math/index.html +++ b/ja/api/mp_math/index.html @@ -6,10 +6,10 @@ mbcp.mp_math | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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モジュール mbcp.mp_math ​

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

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- + \ No newline at end of file diff --git a/ja/api/mp_math/line.html b/ja/api/mp_math/line.html index e03cc40..fa22273 100644 --- a/ja/api/mp_math/line.html +++ b/ja/api/mp_math/line.html @@ -6,10 +6,10 @@ mbcp.mp_math.line | MBCP ドキュメント - + - - + + @@ -66,7 +66,7 @@ else: return self.cal_intersection(other)

method self == other => bool ​

説明: 判断两条直线是否等价。

v1 // v2 ∧ (p1 - p2) // v1

引数:

  • other (Line3): 另一条直线

戻り値: bool: 是否等价

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

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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 ad37bf4..e3a765c 100644 --- a/ja/api/mp_math/mp_math_typing.html +++ b/ja/api/mp_math/mp_math_typing.html @@ -6,10 +6,10 @@ mbcp.mp_math.mp_math_typing | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
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モジュール mbcp.mp_math.mp_math_typing ​

本模块用于内部类型提示

var RealNumber ​

  • 説明: 实数

  • タイプ: TypeAlias

  • デフォルト: int | float

var Number ​

  • 説明: 数

  • タイプ: TypeAlias

  • デフォルト: RealNumber | complex

var SingleVar ​

  • 説明: 单变量

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

var ArrayVar ​

  • 説明: 数组变量

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

var Var ​

  • 説明: 变量

  • タイプ: TypeAlias

  • デフォルト: SingleVar | ArrayVar

var OneSingleVarFunc ​

  • 説明: 一元单变量函数

  • タイプ: TypeAlias

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

var OneArrayFunc ​

  • 説明: 一元数组函数

  • タイプ: TypeAlias

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

var OneVarFunc ​

  • 説明: 一元函数

  • タイプ: TypeAlias

  • デフォルト: OneSingleVarFunc | OneArrayFunc

var TwoSingleVarsFunc ​

  • 説明: 二元单变量函数

  • タイプ: TypeAlias

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

var TwoArraysFunc ​

  • 説明: 二元数组函数

  • タイプ: TypeAlias

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

var TwoVarsFunc ​

  • 説明: 二元函数

  • タイプ: TypeAlias

  • デフォルト: TwoSingleVarsFunc | TwoArraysFunc

var ThreeSingleVarsFunc ​

  • 説明: 三元单变量函数

  • タイプ: TypeAlias

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

var ThreeArraysFunc ​

  • 説明: 三元数组函数

  • タイプ: TypeAlias

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

var ThreeVarsFunc ​

  • 説明: 三元函数

  • タイプ: TypeAlias

  • デフォルト: ThreeSingleVarsFunc | ThreeArraysFunc

var MultiSingleVarsFunc ​

  • 説明: 多元单变量函数

  • タイプ: TypeAlias

  • デフォルト: Callable[..., SingleVar]

var MultiArraysFunc ​

  • 説明: 多元数组函数

  • タイプ: TypeAlias

  • デフォルト: Callable[..., ArrayVar]

var MultiVarsFunc ​

  • 説明: 多元函数

  • タイプ: TypeAlias

  • デフォルト: MultiSingleVarsFunc | MultiArraysFunc

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

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

- + \ No newline at end of file diff --git a/ja/api/mp_math/plane.html b/ja/api/mp_math/plane.html index 570002b..c2992e3 100644 --- a/ja/api/mp_math/plane.html +++ b/ja/api/mp_math/plane.html @@ -6,10 +6,10 @@ mbcp.mp_math.plane | MBCP ドキュメント - + - - + + @@ -105,7 +105,7 @@ raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method self == other => bool ​

説明: 判断两个平面是否等价。

引数:

  • other (Plane3): 另一个平面

戻り値: bool: 是否等价

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

method self & other: Line3 => Point3 ​

ソースコード または GitHubで表示
python
def __rand__(self, other: 'Line3') -> 'Point3':
     return self.cal_intersection_point3(other)

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

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

- + \ No newline at end of file diff --git a/ja/api/mp_math/point.html b/ja/api/mp_math/point.html index d0f54a4..d6ee23b 100644 --- a/ja/api/mp_math/point.html +++ b/ja/api/mp_math/point.html @@ -6,10 +6,10 @@ mbcp.mp_math.point | MBCP ドキュメント - + - - + + @@ -31,7 +31,7 @@ return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self - other: Point3 => Vector3 ​

説明: P - P -> V

P - V -> P 已在 Vector3 中实现

引数:

戻り値: Vector3: 新的向量

ソースコード または GitHubで表示
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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

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

- + \ No newline at end of file diff --git a/ja/api/mp_math/segment.html b/ja/api/mp_math/segment.html index 9f62e43..f024754 100644 --- a/ja/api/mp_math/segment.html +++ b/ja/api/mp_math/segment.html @@ -6,10 +6,10 @@ mbcp.mp_math.segment | MBCP ドキュメント - + - - + + @@ -27,7 +27,7 @@ self.length = self.direction.length '中心点' self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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

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

- + \ No newline at end of file diff --git a/ja/api/mp_math/utils.html b/ja/api/mp_math/utils.html index d4b4dc0..3d8d263 100644 --- a/ja/api/mp_math/utils.html +++ b/ja/api/mp_math/utils.html @@ -6,10 +6,10 @@ mbcp.mp_math.utils | MBCP ドキュメント - + - - + + @@ -46,7 +46,7 @@ return f'-{abs(x)}' else: return ''

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

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

- + \ No newline at end of file diff --git a/ja/api/mp_math/vector.html b/ja/api/mp_math/vector.html index 90f4fd1..4754f3d 100644 --- a/ja/api/mp_math/vector.html +++ b/ja/api/mp_math/vector.html @@ -6,12 +6,12 @@ mbcp.mp_math.vector | MBCP ドキュメント - + - - + + - + @@ -30,55 +30,56 @@ length = self.length self.x /= length self.y /= length - self.z /= length

@property

method np_array(self) -> np.ndarray ​

戻り値: np.ndarray: numpy数组

ソースコード または GitHubで表示
python
@property
+    self.z /= length

method project(self, other: Vector3) -> Vector3 ​

引数:

戻り値: Vector3: 投影向量

ソースコード または GitHubで表示
python
def project(self, other: 'Vector3') -> 'Vector3':
+    return self @ other / other.length * other.unit

@property

method np_array(self) -> np.ndarray ​

戻り値: np.ndarray: numpy数组

ソースコード または GitHubで表示
python
@property
 def np_array(self) -> 'np.ndarray':
-    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

説明: 向量的模。

戻り値: float: 模

ソースコード または GitHubで表示
python
@property
+    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

説明: 向量的模。

戻り値: float: 模

ソースコード または GitHubで表示
python
@property
 def length(self) -> float:
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

説明: 获取该向量的单位向量。

戻り値: Vector3: 单位向量

ソースコード または GitHubで表示
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

説明: 获取该向量的单位向量。

戻り値: Vector3: 单位向量

ソースコード または GitHubで表示
python
@property
 def unit(self) -> 'Vector3':
-    return self / self.length

method __abs__(self) ​

ソースコード または GitHubで表示
python
def __abs__(self):
-    return self.length

@overload

method self + other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload
+    return self / self.length

method __abs__(self) ​

ソースコード または GitHubで表示
python
def __abs__(self):
+    return self.length

@overload

method self + other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self + other: Point3 => Point3 ​

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

@overload

method self + other: Point3 => Point3 ​

ソースコード または GitHubで表示
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...

method self + other ​

説明: V + P -> P

V + V -> V

引数:

戻り値: Vector3 | Point3: 新的向量或点

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

method self + other ​

説明: V + P -> P

V + V -> V

引数:

戻り値: Vector3 | Point3: 新的向量或点

ソースコード または GitHubで表示
python
def __add__(self, other):
     if isinstance(other, Vector3):
         return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

説明: 判断两个向量是否相等。

引数:

戻り値: bool: 是否相等

ソースコード または GitHubで表示
python
def __eq__(self, other):
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

説明: P + V -> P

别去点那边实现了。

引数:

戻り値: Point3: 新的点

ソースコード または GitHubで表示
python
def __radd__(self, other: 'Point3') -> 'Point3':
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

説明: 判断两个向量是否相等。

引数:

戻り値: bool: 是否相等

ソースコード または GitHubで表示
python
def __eq__(self, other):
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

説明: P + V -> P

别去点那边实现了。

引数:

戻り値: Point3: 新的点

ソースコード または GitHubで表示
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self - other: Point3 => Point3 ​

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

@overload

method self - other: Point3 => Point3 ​

ソースコード または GitHubで表示
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...

method self - other ​

説明: V - P -> P

V - V -> V

引数:

戻り値: Vector3 | Point3: 新的向量

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

method self - other ​

説明: V - P -> P

V - V -> V

引数:

戻り値: Vector3 | Point3: 新的向量

ソースコード または GitHubで表示
python
def __sub__(self, other):
     if isinstance(other, Vector3):
         return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

説明: P - V -> P

引数:

戻り値: Point3: 新的点

ソースコード または GitHubで表示
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

説明: P - V -> P

引数:

戻り値: Point3: 新的点

ソースコード または GitHubで表示
python
def __rsub__(self, other: 'Point3'):
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

ソースコード または GitHubで表示
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self * other: RealNumber => Vector3 ​

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

@overload

method self * other: RealNumber => Vector3 ​

ソースコード または GitHubで表示
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...

method self * other: int | float | Vector3 => Vector3 ​

説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

引数:

戻り値: Vector3: 数组运算结果

ソースコード または GitHubで表示
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...

method self * other: int | float | Vector3 => Vector3 ​

説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

引数:

戻り値: Vector3: 数组运算结果

ソースコード または GitHubで表示
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     if isinstance(other, Vector3):
         return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

ソースコード または GitHubで表示
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

説明: 点乘。

引数:

戻り値: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

説明: 取负。

戻り値: Vector3: 负向量

ソースコード または GitHubで表示
python
def __neg__(self) -> 'Vector3':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

ソースコード または GitHubで表示
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

説明: 点乘。

引数:

戻り値: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

説明: 取负。

戻り値: Vector3: 负向量

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

var zero_vector3 ​

  • 説明: 零向量

  • タイプ: Vector3

  • デフォルト: Vector3(0, 0, 0)

var x_axis ​

  • 説明: x轴单位向量

  • タイプ: Vector3

  • デフォルト: Vector3(1, 0, 0)

var y_axis ​

  • 説明: y轴单位向量

  • タイプ: Vector3

  • デフォルト: Vector3(0, 1, 0)

var z_axis ​

  • 説明: z轴单位向量

  • タイプ: Vector3

  • デフォルト: Vector3(0, 0, 1)

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

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

- + \ No newline at end of file diff --git a/ja/api/particle/index.html b/ja/api/particle/index.html index 5893ee1..534b783 100644 --- a/ja/api/particle/index.html +++ b/ja/api/particle/index.html @@ -6,10 +6,10 @@ mbcp.particle | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@ - + \ No newline at end of file diff --git a/ja/api/presets/index.html b/ja/api/presets/index.html index 6d18d17..94e7c6d 100644 --- a/ja/api/presets/index.html +++ b/ja/api/presets/index.html @@ -6,10 +6,10 @@ mbcp.presets | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@ - + \ No newline at end of file diff --git a/ja/api/presets/model/index.html b/ja/api/presets/model/index.html index bc74001..12cb837 100644 --- a/ja/api/presets/model/index.html +++ b/ja/api/presets/model/index.html @@ -6,10 +6,10 @@ mbcp.presets.model | MBCP ドキュメント - + - - + + @@ -28,7 +28,7 @@ y_array = radius * np.sin(phi_list) * np.sin(theta_list) z_array = radius * np.cos(phi_list) return [Point3(x_array[i], y_array[i], z_array[i]) for i in range(num)]

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

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

- + \ No newline at end of file diff --git a/ja/demo/best-practice.html b/ja/demo/best-practice.html index 2f69785..d9f0306 100644 --- a/ja/demo/best-practice.html +++ b/ja/demo/best-practice.html @@ -6,10 +6,10 @@ ベストプラクティス | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@ - + \ No newline at end of file diff --git a/ja/guide/index.html b/ja/guide/index.html index 5520086..d6847f2 100644 --- a/ja/guide/index.html +++ b/ja/guide/index.html @@ -6,10 +6,10 @@ 开始不了一点 | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
MBCP ドキュメント

日本語

简体中文
English
繁體中文

日本語

简体中文
English
繁體中文

Appearance

开始不了一点 ​

∫12x111

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

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

- + \ No newline at end of file diff --git a/ja/index.html b/ja/index.html index c6b4658..7d13ba5 100644 --- a/ja/index.html +++ b/ja/index.html @@ -6,10 +6,10 @@ MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
MBCP ドキュメント

日本語

简体中文
English
繁體中文

日本語

简体中文
English
繁體中文

Appearance

MBCP

More basic change particle

ジオメトリ演算とパーティクル作成のためのライブラリ

はじめる
API リファレンス
ベストプラクティス
MBCP logo
🛠️

高可用性

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

📦

高集積度

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

🧊

組み込みプリセット

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

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

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

- + \ No newline at end of file diff --git a/ja/refer/index.html b/ja/refer/index.html index 478043d..e4b5b58 100644 --- a/ja/refer/index.html +++ b/ja/refer/index.html @@ -6,10 +6,10 @@ Reference | MBCP ドキュメント - + - - + + @@ -19,7 +19,7 @@
MBCP ドキュメント

日本語

简体中文
English
繁體中文

日本語

简体中文
English
繁體中文

Appearance

Reference ​

Help us to improve the documentation

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

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

- + \ No newline at end of file diff --git a/refer/7-differential-euqtion/index.html b/refer/7-differential-euqtion/index.html index b8e21ca..70aef65 100644 --- a/refer/7-differential-euqtion/index.html +++ b/refer/7-differential-euqtion/index.html @@ -6,10 +6,10 @@ 微分方程 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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

微分方程 ​

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/refer/function/curry.html b/refer/function/curry.html index 95b9019..1daa583 100644 --- a/refer/function/curry.html +++ b/refer/function/curry.html @@ -6,10 +6,10 @@ 柯里化 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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- + \ No newline at end of file diff --git a/refer/function/function.html b/refer/function/function.html index c3e15d1..0ba7b22 100644 --- a/refer/function/function.html +++ b/refer/function/function.html @@ -6,10 +6,10 @@ 函数 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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- + \ No newline at end of file diff --git a/refer/index.html b/refer/index.html index db1b3f4..66f155d 100644 --- a/refer/index.html +++ b/refer/index.html @@ -6,10 +6,10 @@ 参考 | MBCP 文档 - + - - + + @@ -19,7 +19,7 @@
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Reference ​

Help us to improve the documentation

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- + \ No newline at end of file diff --git a/zht/api/index.html b/zht/api/index.html index 133a189..8eba367 100644 --- a/zht/api/index.html +++ b/zht/api/index.html @@ -6,10 +6,10 @@ mbcp | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp ​

本模块是主模块，提供了一些工具 可导入

mbcp.mp_math：数学工具

mbcp.particle：粒子生成工具

mbcp.presets：预设

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- + \ No newline at end of file diff --git a/zht/api/mp_math/angle.html b/zht/api/mp_math/angle.html index 31bf831..47b61c3 100644 --- a/zht/api/mp_math/angle.html +++ b/zht/api/mp_math/angle.html @@ -6,10 +6,10 @@ mbcp.mp_math.angle | MBCP 文檔 - + - - + + @@ -56,7 +56,7 @@ if isinstance(other, AnyAngle): return self.radian / other.radian return AnyAngle(self.radian / other, is_radian=True)

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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 f9946c4..05ec460 100644 --- a/zht/api/mp_math/const.html +++ b/zht/api/mp_math/const.html @@ -6,10 +6,10 @@ mbcp.mp_math.const | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp.mp_math.const ​

本模块定义了一些常用的常量

var PI ​

  • 説明: 常量 π

  • 默認值: math.pi

var E ​

  • 説明: 自然对数的底 exp(1)

  • 默認值: math.e

var GOLDEN_RATIO ​

  • 説明: 黄金分割比

  • 默認值: (1 + math.sqrt(5)) / 2

var GAMMA ​

  • 説明: 欧拉常数

  • 默認值: 0.5772156649015329

var EPSILON ​

  • 説明: 精度误差

  • 默認值: 0.0001

var APPROX ​

  • 説明: 约等于判定误差

  • 默認值: 0.001

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- + \ No newline at end of file diff --git a/zht/api/mp_math/equation.html b/zht/api/mp_math/equation.html index 9e147d9..7c1121a 100644 --- a/zht/api/mp_math/equation.html +++ b/zht/api/mp_math/equation.html @@ -6,10 +6,10 @@ mbcp.mp_math.equation | MBCP 文檔 - + - - + + @@ -45,7 +45,7 @@ return high_order_partial_derivative_func else: raise ValueError('Invalid var type')

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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 108f4a9..9bf83af 100644 --- a/zht/api/mp_math/function.html +++ b/zht/api/mp_math/function.html @@ -6,10 +6,10 @@ mbcp.mp_math.function | MBCP 文檔 - + - - + + @@ -30,7 +30,7 @@ def curried_func(*args2: Var) -> Var: return func(*args, *args2) return curried_func

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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 dc4f5bf..47475b7 100644 --- a/zht/api/mp_math/index.html +++ b/zht/api/mp_math/index.html @@ -6,10 +6,10 @@ mbcp.mp_math | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp.mp_math ​

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

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- + \ No newline at end of file diff --git a/zht/api/mp_math/line.html b/zht/api/mp_math/line.html index a8afb55..61bd6ef 100644 --- a/zht/api/mp_math/line.html +++ b/zht/api/mp_math/line.html @@ -6,10 +6,10 @@ mbcp.mp_math.line | MBCP 文檔 - + - - + + @@ -66,7 +66,7 @@ else: return self.cal_intersection(other)

method self == other => bool ​

説明: 判断两条直线是否等价。

v1 // v2 ∧ (p1 - p2) // v1

變數説明:

  • other (Line3): 另一条直线

返回: bool: 是否等价

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

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- + \ 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 2023dbe..b3e0c87 100644 --- a/zht/api/mp_math/mp_math_typing.html +++ b/zht/api/mp_math/mp_math_typing.html @@ -6,10 +6,10 @@ mbcp.mp_math.mp_math_typing | MBCP 文檔 - + - - + + @@ -19,7 +19,7 @@
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模組 mbcp.mp_math.mp_math_typing ​

本模块用于内部类型提示

var RealNumber ​

  • 説明: 实数

  • 類型: TypeAlias

  • 默認值: int | float

var Number ​

  • 説明: 数

  • 類型: TypeAlias

  • 默認值: RealNumber | complex

var SingleVar ​

  • 説明: 单变量

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

var ArrayVar ​

  • 説明: 数组变量

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

var Var ​

  • 説明: 变量

  • 類型: TypeAlias

  • 默認值: SingleVar | ArrayVar

var OneSingleVarFunc ​

  • 説明: 一元单变量函数

  • 類型: TypeAlias

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

var OneArrayFunc ​

  • 説明: 一元数组函数

  • 類型: TypeAlias

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

var OneVarFunc ​

  • 説明: 一元函数

  • 類型: TypeAlias

  • 默認值: OneSingleVarFunc | OneArrayFunc

var TwoSingleVarsFunc ​

  • 説明: 二元单变量函数

  • 類型: TypeAlias

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

var TwoArraysFunc ​

  • 説明: 二元数组函数

  • 類型: TypeAlias

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

var TwoVarsFunc ​

  • 説明: 二元函数

  • 類型: TypeAlias

  • 默認值: TwoSingleVarsFunc | TwoArraysFunc

var ThreeSingleVarsFunc ​

  • 説明: 三元单变量函数

  • 類型: TypeAlias

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

var ThreeArraysFunc ​

  • 説明: 三元数组函数

  • 類型: TypeAlias

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

var ThreeVarsFunc ​

  • 説明: 三元函数

  • 類型: TypeAlias

  • 默認值: ThreeSingleVarsFunc | ThreeArraysFunc

var MultiSingleVarsFunc ​

  • 説明: 多元单变量函数

  • 類型: TypeAlias

  • 默認值: Callable[..., SingleVar]

var MultiArraysFunc ​

  • 説明: 多元数组函数

  • 類型: TypeAlias

  • 默認值: Callable[..., ArrayVar]

var MultiVarsFunc ​

  • 説明: 多元函数

  • 類型: TypeAlias

  • 默認值: MultiSingleVarsFunc | MultiArraysFunc

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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 bc7fd6c..5f6c3be 100644 --- a/zht/api/mp_math/plane.html +++ b/zht/api/mp_math/plane.html @@ -6,10 +6,10 @@ mbcp.mp_math.plane | MBCP 文檔 - + - - + + @@ -105,7 +105,7 @@ raise TypeError(f"unsupported operand type(s) for &: 'Plane3' and '{type(other)}'")

method self == other => bool ​

説明: 判断两个平面是否等价。

變數説明:

  • other (Plane3): 另一个平面

返回: bool: 是否等价

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

method self & other: Line3 => Point3 ​

源碼 或 於GitHub上查看
python
def __rand__(self, other: 'Line3') -> 'Point3':
     return self.cal_intersection_point3(other)

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- + \ No newline at end of file diff --git a/zht/api/mp_math/point.html b/zht/api/mp_math/point.html index b1df9b4..bf758de 100644 --- a/zht/api/mp_math/point.html +++ b/zht/api/mp_math/point.html @@ -6,10 +6,10 @@ mbcp.mp_math.point | MBCP 文檔 - + - - + + @@ -31,7 +31,7 @@ return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self - other: Point3 => Vector3 ​

説明: P - P -> V

P - V -> P 已在 Vector3 中实现

變數説明:

返回: Vector3: 新的向量

源碼 或 於GitHub上查看
python
def __sub__(self, other: 'Point3') -> 'Vector3':
     from .vector import Vector3
     return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)

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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 efdd6e0..2b5cb8d 100644 --- a/zht/api/mp_math/segment.html +++ b/zht/api/mp_math/segment.html @@ -6,10 +6,10 @@ mbcp.mp_math.segment | MBCP 文檔 - + - - + + @@ -27,7 +27,7 @@ self.length = self.direction.length '中心点' self.midpoint = Point3((self.p1.x + self.p2.x) / 2, (self.p1.y + self.p2.y) / 2, (self.p1.z + self.p2.z) / 2)

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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 ca2be86..c4c38ef 100644 --- a/zht/api/mp_math/utils.html +++ b/zht/api/mp_math/utils.html @@ -6,10 +6,10 @@ mbcp.mp_math.utils | MBCP 文檔 - + - - + + @@ -46,7 +46,7 @@ return f'-{abs(x)}' else: return ''

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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 ea7ad83..7d1f534 100644 --- a/zht/api/mp_math/vector.html +++ b/zht/api/mp_math/vector.html @@ -6,12 +6,12 @@ mbcp.mp_math.vector | MBCP 文檔 - + - - + + - + @@ -30,55 +30,56 @@ length = self.length self.x /= length self.y /= length - self.z /= length

@property

method np_array(self) -> np.ndarray ​

返回: np.ndarray: numpy数组

源碼 或 於GitHub上查看
python
@property
+    self.z /= length

method project(self, other: Vector3) -> Vector3 ​

變數説明:

返回: Vector3: 投影向量

源碼 或 於GitHub上查看
python
def project(self, other: 'Vector3') -> 'Vector3':
+    return self @ other / other.length * other.unit

@property

method np_array(self) -> np.ndarray ​

返回: np.ndarray: numpy数组

源碼 或 於GitHub上查看
python
@property
 def np_array(self) -> 'np.ndarray':
-    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

説明: 向量的模。

返回: float: 模

源碼 或 於GitHub上查看
python
@property
+    return np.array([self.x, self.y, self.z])

@property

method length(self) -> float ​

説明: 向量的模。

返回: float: 模

源碼 或 於GitHub上查看
python
@property
 def length(self) -> float:
-    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

説明: 获取该向量的单位向量。

返回: Vector3: 单位向量

源碼 或 於GitHub上查看
python
@property
+    return math.sqrt(self.x ** 2 + self.y ** 2 + self.z ** 2)

@property

method unit(self) -> Vector3 ​

説明: 获取该向量的单位向量。

返回: Vector3: 单位向量

源碼 或 於GitHub上查看
python
@property
 def unit(self) -> 'Vector3':
-    return self / self.length

method __abs__(self) ​

源碼 或 於GitHub上查看
python
def __abs__(self):
-    return self.length

@overload

method self + other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload
+    return self / self.length

method __abs__(self) ​

源碼 或 於GitHub上查看
python
def __abs__(self):
+    return self.length

@overload

method self + other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload
 def __add__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self + other: Point3 => Point3 ​

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

@overload

method self + other: Point3 => Point3 ​

源碼 或 於GitHub上查看
python
@overload
 def __add__(self, other: 'Point3') -> 'Point3':
-    ...

method self + other ​

説明: V + P -> P

V + V -> V

變數説明:

返回: Vector3 | Point3: 新的向量或点

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

method self + other ​

説明: V + P -> P

V + V -> V

變數説明:

返回: Vector3 | Point3: 新的向量或点

源碼 或 於GitHub上查看
python
def __add__(self, other):
     if isinstance(other, Vector3):
         return Vector3(self.x + other.x, self.y + other.y, self.z + other.z)
     elif isinstance(other, Point3):
         return Point3(self.x + other.x, self.y + other.y, self.z + other.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

説明: 判断两个向量是否相等。

變數説明:

返回: bool: 是否相等

源碼 或 於GitHub上查看
python
def __eq__(self, other):
-    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

説明: P + V -> P

别去点那边实现了。

變數説明:

返回: Point3: 新的点

源碼 或 於GitHub上查看
python
def __radd__(self, other: 'Point3') -> 'Point3':
-    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload
+        raise TypeError(f"unsupported operand type(s) for +: 'Vector3' and '{type(other)}'")

method self == other ​

説明: 判断两个向量是否相等。

變數説明:

返回: bool: 是否相等

源碼 或 於GitHub上查看
python
def __eq__(self, other):
+    return approx(self.x, other.x) and approx(self.y, other.y) and approx(self.z, other.z)

method self + other: Point3 => Point3 ​

説明: P + V -> P

别去点那边实现了。

變數説明:

返回: Point3: 新的点

源碼 或 於GitHub上查看
python
def __radd__(self, other: 'Point3') -> 'Point3':
+    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

@overload

method self - other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload
 def __sub__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self - other: Point3 => Point3 ​

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

@overload

method self - other: Point3 => Point3 ​

源碼 或 於GitHub上查看
python
@overload
 def __sub__(self, other: 'Point3') -> 'Point3':
-    ...

method self - other ​

説明: V - P -> P

V - V -> V

變數説明:

返回: Vector3 | Point3: 新的向量

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

method self - other ​

説明: V - P -> P

V - V -> V

變數説明:

返回: Vector3 | Point3: 新的向量

源碼 或 於GitHub上查看
python
def __sub__(self, other):
     if isinstance(other, Vector3):
         return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
     elif isinstance(other, Point3):
         return Point3(self.x - other.x, self.y - other.y, self.z - other.z)
     else:
-        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

説明: P - V -> P

變數説明:

返回: Point3: 新的点

源碼 或 於GitHub上查看
python
def __rsub__(self, other: 'Point3'):
+        raise TypeError(f'unsupported operand type(s) for -: "Vector3" and "{type(other)}"')

method self - other: Point3 ​

説明: P - V -> P

變數説明:

返回: Point3: 新的点

源碼 或 於GitHub上查看
python
def __rsub__(self, other: 'Point3'):
     if isinstance(other, Point3):
         return Point3(other.x - self.x, other.y - self.y, other.z - self.z)
     else:
-        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload
+        raise TypeError(f"unsupported operand type(s) for -: '{type(other)}' and 'Vector3'")

@overload

method self * other: Vector3 => Vector3 ​

源碼 或 於GitHub上查看
python
@overload
 def __mul__(self, other: 'Vector3') -> 'Vector3':
-    ...

@overload

method self * other: RealNumber => Vector3 ​

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

@overload

method self * other: RealNumber => Vector3 ​

源碼 或 於GitHub上查看
python
@overload
 def __mul__(self, other: RealNumber) -> 'Vector3':
-    ...

method self * other: int | float | Vector3 => Vector3 ​

説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

變數説明:

返回: Vector3: 数组运算结果

源碼 或 於GitHub上查看
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
+    ...

method self * other: int | float | Vector3 => Vector3 ​

説明: 数组运算 非点乘。点乘使用@，叉乘使用cross。

變數説明:

返回: Vector3: 数组运算结果

源碼 或 於GitHub上查看
python
def __mul__(self, other: 'int | float | Vector3') -> 'Vector3':
     if isinstance(other, Vector3):
         return Vector3(self.x * other.x, self.y * other.y, self.z * other.z)
     elif isinstance(other, (float, int)):
         return Vector3(self.x * other, self.y * other, self.z * other)
     else:
-        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

源碼 或 於GitHub上查看
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
-    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

説明: 点乘。

變數説明:

返回: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

説明: 取负。

返回: Vector3: 负向量

源碼 或 於GitHub上查看
python
def __neg__(self) -> 'Vector3':
+        raise TypeError(f"unsupported operand type(s) for *: 'Vector3' and '{type(other)}'")

method self * other: RealNumber => Vector3 ​

源碼 或 於GitHub上查看
python
def __rmul__(self, other: 'RealNumber') -> 'Vector3':
+    return self.__mul__(other)

method self @ other: Vector3 => RealNumber ​

説明: 点乘。

變數説明:

返回: float: 点乘结果

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

method self / other: RealNumber => Vector3 ​

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

method - self => Vector3 ​

説明: 取负。

返回: Vector3: 负向量

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

var zero_vector3 ​

  • 説明: 零向量

  • 類型: Vector3

  • 默認值: Vector3(0, 0, 0)

var x_axis ​

  • 説明: x轴单位向量

  • 類型: Vector3

  • 默認值: Vector3(1, 0, 0)

var y_axis ​

  • 説明: y轴单位向量

  • 類型: Vector3

  • 默認值: Vector3(0, 1, 0)

var z_axis ​

  • 説明: z轴单位向量

  • 類型: Vector3

  • 默認值: Vector3(0, 0, 1)

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