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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:

Source code or View on GitHub
python
def __init__(self, x: float, y: float, z: float):
    """
        笛卡尔坐标系中的点。
        Args:
            x ([\`float\`](https://docs.python.org/3/library/functions.html#float)): x 坐标
            y (\`float\`): y 坐标
            z (\`float\`): z 坐标
        """
    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:
    """
        判断两个点是否近似相等。
        Args:
            other ([\`Point3\`](./point#class-point3)): 另一个点
            epsilon ([\`float\`](https://docs.python.org/3/library/functions.html#float)): 误差
        Returns:
            [\`bool\`](https://docs.python.org/3/library/functions.html#bool): 是否近似相等
        """
    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):
    """
        P + V -> P
        P + P -> P
        Args:
            other ([\`Vector3\`](./vector#class-vector3) | [\`Point3\`](./point#class-point3)): 另一个点或向量
        Returns:
            [\`Point3\`](./point#class-point3): 新的点
        """
    return Point3(self.x + other.x, self.y + other.y, self.z + other.z)

method __eq__(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):
    """
        判断两个点是否相等。
        Args:
            other ([\`Point3\`](./point#class-point3)): 另一个点
        Returns:
            [\`bool\`](https://docs.python.org/3/library/functions.html#bool): 是否相等
        """
    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':
    """
        P - P -> V

        P - V -> P  已在 [\`Vector3\`](./vector#class-vector3) 中实现
        Args:
            other ([\`Point3\`](./point#class-point3)): 另一个点
        Returns:
            [\`Vector3\`](./vector#class-vector3): 新的向量
        """
    from .vector import Vector3
    return Vector3(self.x - other.x, self.y - other.y, self.z - other.z)
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