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 = zmethod 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
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python
@overload
def __add__(self, other: 'Vector3') -> 'Point3':
...@overload
method self + other: Point3 => Point3
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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 __eq__(self, other)
Description: 判断两个点是否相等。
Arguments:
- other (
Point3): 另一个点
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:
- other (
Point3): 另一个点
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)