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Python Line.are_concurrent方法代码示例

本文整理汇总了Python中sympy.geometry.Line.are_concurrent方法的典型用法代码示例。如果您正苦于以下问题:Python Line.are_concurrent方法的具体用法?Python Line.are_concurrent怎么用?Python Line.are_concurrent使用的例子?那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在sympy.geometry.Line的用法示例。


在下文中一共展示了Line.are_concurrent方法的1个代码示例,这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞,您的评价将有助于系统推荐出更棒的Python代码示例。

示例1: test_line_geom

# 需要导入模块: from sympy.geometry import Line [as 别名]
# 或者: from sympy.geometry.Line import are_concurrent [as 别名]
def test_line_geom():
    x = Symbol('x', real=True)
    y = Symbol('y', real=True)
    x1 = Symbol('x1', real=True)
    y1 = Symbol('y1', real=True)
    half = Rational(1, 2)
    p1 = Point(0, 0)
    p2 = Point(1, 1)
    p3 = Point(x1, x1)
    p4 = Point(y1, y1)
    p5 = Point(x1, 1 + x1)
    p6 = Point(1, 0)
    p7 = Point(0, 1)
    p8 = Point(2, 0)
    p9 = Point(2, 1)

    l1 = Line(p1, p2)
    l2 = Line(p3, p4)
    l3 = Line(p3, p5)
    l4 = Line(p1, p6)
    l5 = Line(p1, p7)
    l6 = Line(p8, p9)
    l7 = Line(p2, p9)
    raises(ValueError, lambda: Line(Point(0, 0), Point(0, 0)))

    # Basic stuff
    assert Line((1, 1), slope=1) == Line((1, 1), (2, 2))
    assert Line((1, 1), slope=oo) == Line((1, 1), (1, 2))
    assert Line((1, 1), slope=-oo) == Line((1, 1), (1, 2))
    raises(ValueError, lambda: Line((1, 1), 1))
    assert Line(p1, p2) == Line(p1, p2)
    assert Line(p1, p2) != Line(p2, p1)
    assert l1 != l2
    assert l1 != l3
    assert l1.slope == 1
    assert l1.length == oo
    assert l3.slope == oo
    assert l4.slope == 0
    assert l4.coefficients == (0, 1, 0)
    assert l4.equation(x=x, y=y) == y
    assert l5.slope == oo
    assert l5.coefficients == (1, 0, 0)
    assert l5.equation() == x
    assert l6.equation() == x - 2
    assert l7.equation() == y - 1
    assert p1 in l1  # is p1 on the line l1?
    assert p1 not in l3
    assert Line((-x, x), (-x + 1, x - 1)).coefficients == (1, 1, 0)

    assert simplify(l1.equation()) in (x - y, y - x)
    assert simplify(l3.equation()) in (x - x1, x1 - x)

    assert Line(p1, p2).scale(2, 1) == Line(p1, p9)

    assert l2.arbitrary_point() in l2
    for ind in range(0, 5):
        assert l3.random_point() in l3

    # Orthogonality
    p1_1 = Point(-x1, x1)
    l1_1 = Line(p1, p1_1)
    assert l1.perpendicular_line(p1.args) == Line(Point(0, 0), Point(1, -1))
    assert l1.perpendicular_line(p1) == Line(Point(0, 0), Point(1, -1))
    assert Line.is_perpendicular(l1, l1_1)
    assert Line.is_perpendicular(l1, l2) is False
    p = l1.random_point()
    assert l1.perpendicular_segment(p) == p

    # Parallelity
    l2_1 = Line(p3, p5)
    assert l2.parallel_line(p1_1) == Line(Point(-x1, x1), Point(-y1, 2*x1 - y1))
    assert l2_1.parallel_line(p1.args) == Line(Point(0, 0), Point(0, -1))
    assert l2_1.parallel_line(p1) == Line(Point(0, 0), Point(0, -1))
    assert Line.is_parallel(l1, l2)
    assert Line.is_parallel(l2, l3) is False
    assert Line.is_parallel(l2, l2.parallel_line(p1_1))
    assert Line.is_parallel(l2_1, l2_1.parallel_line(p1))

    # Intersection
    assert intersection(l1, p1) == [p1]
    assert intersection(l1, p5) == []
    assert intersection(l1, l2) in [[l1], [l2]]
    assert intersection(l1, l1.parallel_line(p5)) == []

    # Concurrency
    l3_1 = Line(Point(5, x1), Point(-Rational(3, 5), x1))
    assert Line.are_concurrent(l1) is False
    assert Line.are_concurrent(l1, l3)
    assert Line.are_concurrent(l1, l1, l1, l3)
    assert Line.are_concurrent(l1, l3, l3_1)
    assert Line.are_concurrent(l1, l1_1, l3) is False

    # Projection
    assert l2.projection(p4) == p4
    assert l1.projection(p1_1) == p1
    assert l3.projection(p2) == Point(x1, 1)
    raises(GeometryError, lambda: Line(Point(0, 0), Point(1, 0))
           .projection(Circle(Point(0, 0), 1)))

    # Finding angles
#.........这里部分代码省略.........
开发者ID:Kogorushi,项目名称:sympy,代码行数:103,代码来源:test_line.py


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