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Module mbcp.mp_math.point

本模块定义了三维空间中点的类。

class Point3


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

Description: 笛卡尔坐标系中的点。

Arguments:

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

method approx(self, other: Point3, epsilon: float = APPROX) -> bool

Description: 判断两个点是否近似相等。

Arguments:

Return: bool: 是否近似相等

Source code or View on GitHub
python
def approx(self, other: 'Point3', epsilon: float=APPROX) -> bool:
    return all([abs(self.x - other.x) < epsilon, abs(self.y - other.y) < epsilon, abs(self.z - other.z) < epsilon])

@overload

method self + other: Vector3 => Point3

Source code or View on GitHub
python
@overload
def __add__(self, other: 'Vector3') -> 'Point3':
    ...

@overload

method self + other: Point3 => Point3

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

method self + other

Description: P + V -> P P + P -> P

Arguments:

Return: Point3: 新的点

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

method self == other

Description: 判断两个点是否相等。

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 => 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)

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