Python–Sympy 多边形. cut_section()方法
原文:https://www . geesforgeks . org/python-sympy-polygon-cut _ section-method/
在 Sympy 中，函数 Polygon.cut_section() 用于获得分别位于交线上方和下方的两个多边形段(多边形的两部分)的元组。它只是返回与直线相交的多边形的两个部分。当线上方或线下方不存在多边形时，返回“无”。
Syntax: Polygon.cut_section(line)
Returns: upper_polygon, lower_polygon: Polygon objects or None
upper_polygon: is the polygon that lies above the given line
lower_polygon: is the polygon that lies below the given line
None: when no polygon exists above the line or below the line
Raises:
ValueError: When the line does not intersect the polygon
示例#1:
Python 3
# import sympy import Point, Polygon, Line
from sympy import Point, Polygon, Line
# creating points using Point()
p1, p2, p3, p4 = map(Point, [(0, 2), (0, 0), (1, 0), (1, 2)])
# creating polygon using Polygon()
poly = Polygon(p1, p2, p3, p4)
# using cut_section()
cutSection = poly.cut_section(Line((0, 1), slope = 0))
print(cutSection)
输出:
(Polygon(Point2D(0, 2), Point2D(0, 1), Point2D(1, 1), Point2D(1, 2)),
Polygon(Point2D(0, 1), Point2D(0, 0), Point2D(1, 0), Point2D(1, 1)))
例 2:
Python 3
# import sympy import Point, Polygon, Line
from sympy import Point, Polygon, Line
# creating points using Point()
p1, p2, p3, p4 = map(Point, [(0, 2), (0, 0), (1, 0), (1, 2)])
# creating polygon using Polygon()
poly = Polygon(p1, p2, p3, p4)
# using cut_section()
cutSection = poly.cut_section(Line((0, 1), slope = 1))
print(cutSection)
输出:
(Triangle(Point2D(0, 2), Point2D(0, 1), Point2D(1, 2)),
Polygon(Point2D(0, 1), Point2D(0, 0), Point2D(1, 0), Point2D(1, 2)))
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