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⚡ add some mathematical method for object Line3

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远野千束 2024-08-07 00:12:02 +08:00
parent 24d8b4980d
commit b4d5da5fc3
1 changed files with 18 additions and 3 deletions
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21
mbcp/mp_math/line.py
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@ -73,15 +73,30 @@ class Line3:
return Point3(x, y, z) return Point3(x, y, z)
def is_parallel(self, line: "Line3") -> bool: def is_parallel(self, line: "Line3") -> bool:
# 直线平行的条件是它们的法向量成比例 """
判断两条直线是否平行。
直线平行的条件是它们的法向量成比例
:param line:
:return:
"""
return self.a * line.b == self.b * line.a and self.c * line.b == self.d * line.a return self.a * line.b == self.b * line.a and self.c * line.b == self.d * line.a
def is_collinear(self, line: "Line3") -> bool: def is_collinear(self, line: "Line3") -> bool:
# 直线共线的条件是它们的法向量成比例且常数项也成比例 """
判断两条直线是否共线。
直线共线的条件是它们的法向量成比例且常数项也成比例
:param line:
:return:
"""
return self.is_parallel(line) and (self.d * line.b - self.b * line.d) / (self.a * line.b - self.b * line.a) == 0 return self.is_parallel(line) and (self.d * line.b - self.b * line.d) / (self.a * line.b - self.b * line.a) == 0
def is_coplanar(self, line: "Line3") -> bool: def is_coplanar(self, line: "Line3") -> bool:
# 两条直线共面的条件是它们的方向向量和法向量的叉乘为零向量 """
判断两条直线是否共面。
两条直线共面的条件是它们的方向向量和法向量的叉乘为零向量
:param line:
:return:
"""
direction1 = (-self.c, 0, self.a) direction1 = (-self.c, 0, self.a)
direction2 = (line.c, -line.b, 0) direction2 = (line.c, -line.b, 0)
cross_product = direction1[0] * direction2[1] - direction1[1] * direction2[0] cross_product = direction1[0] * direction2[1] - direction1[1] * direction2[0]