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Python Segment.plot_interval方法代码示例

本文整理汇总了Python中sympy.geometry.Segment.plot_interval方法的典型用法代码示例。如果您正苦于以下问题:Python Segment.plot_interval方法的具体用法?Python Segment.plot_interval怎么用?Python Segment.plot_interval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.Segment的用法示例。


在下文中一共展示了Segment.plot_interval方法的3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_basic_properties_2d

# 需要导入模块: from sympy.geometry import Segment [as 别名]
# 或者: from sympy.geometry.Segment import plot_interval [as 别名]
def test_basic_properties_2d():
    p1 = Point(0, 0)
    p2 = Point(1, 1)
    p10 = Point(2000, 2000)
    p_r3 = Ray(p1, p2).random_point()
    p_r4 = Ray(p2, p1).random_point()

    l1 = Line(p1, p2)
    l3 = Line(Point(x1, x1), Point(x1, 1 + x1))
    l4 = Line(p1, Point(1, 0))

    r1 = Ray(p1, Point(0, 1))
    r2 = Ray(Point(0, 1), p1)

    s1 = Segment(p1, p10)
    p_s1 = s1.random_point()

    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))
    assert Line(p1, p2).scale(2, 1) == Line(p1, Point(2, 1))
    assert Line(p1, p2) == Line(p1, p2)
    assert Line(p1, p2) != Line(p2, p1)
    assert l1 != Line(Point(x1, x1), Point(y1, y1))
    assert l1 != l3
    assert Line(p1, p10) != Line(p10, p1)
    assert Line(p1, p10) != p1
    assert p1 in l1  # is p1 on the line l1?
    assert p1 not in l3
    assert s1 in Line(p1, p10)
    assert Ray(Point(0, 0), Point(0, 1)) in Ray(Point(0, 0), Point(0, 2))
    assert Ray(Point(0, 0), Point(0, 2)) in Ray(Point(0, 0), Point(0, 1))
    assert (r1 in s1) is False
    assert Segment(p1, p2) in s1
    assert Ray(Point(x1, x1), Point(x1, 1 + x1)) != Ray(p1, Point(-1, 5))
    assert Segment(p1, p2).midpoint == Point(Rational(1, 2), Rational(1, 2))
    assert Segment(p1, Point(-x1, x1)).length == sqrt(2 * (x1 ** 2))

    assert l1.slope == 1
    assert l3.slope == oo
    assert l4.slope == 0
    assert Line(p1, Point(0, 1)).slope == oo
    assert Line(r1.source, r1.random_point()).slope == r1.slope
    assert Line(r2.source, r2.random_point()).slope == r2.slope
    assert Segment(Point(0, -1), Segment(p1, Point(0, 1)).random_point()).slope == Segment(p1, Point(0, 1)).slope

    assert l4.coefficients == (0, 1, 0)
    assert Line((-x, x), (-x + 1, x - 1)).coefficients == (1, 1, 0)
    assert Line(p1, Point(0, 1)).coefficients == (1, 0, 0)
    # issue 7963
    r = Ray((0, 0), angle=x)
    assert r.subs(x, 3 * pi / 4) == Ray((0, 0), (-1, 1))
    assert r.subs(x, 5 * pi / 4) == Ray((0, 0), (-1, -1))
    assert r.subs(x, -pi / 4) == Ray((0, 0), (1, -1))
    assert r.subs(x, pi / 2) == Ray((0, 0), (0, 1))
    assert r.subs(x, -pi / 2) == Ray((0, 0), (0, -1))

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

    assert p_r3.x >= p1.x and p_r3.y >= p1.y
    assert p_r4.x <= p2.x and p_r4.y <= p2.y
    assert p1.x <= p_s1.x <= p10.x and p1.y <= p_s1.y <= p10.y
    assert hash(s1) == hash(Segment(p10, p1))

    assert s1.plot_interval() == [t, 0, 1]
    assert Line(p1, p10).plot_interval() == [t, -5, 5]
    assert Ray((0, 0), angle=pi / 4).plot_interval() == [t, 0, 10]
开发者ID:,项目名称:,代码行数:70,代码来源:

示例2: test_line

# 需要导入模块: from sympy.geometry import Segment [as 别名]
# 或者: from sympy.geometry.Segment import plot_interval [as 别名]

#.........这里部分代码省略.........
    assert s1.intersection(s3) == [s1]
    assert s3.intersection(s1) == [s3]
    assert r4.intersection(s3) == [s3]
    assert r4.intersection(Segment(Point(2, 3), Point(3, 4))) == []
    assert r4.intersection(Segment(Point(-1, -1), Point(0.5, 0.5))) == [Segment(p1, Point(0.5, 0.5))]
    s3 = Segment(Point(1, 1), Point(2, 2))
    assert s1.intersection(s3) == [Point(1, 1)]
    s3 = Segment(Point(0.5, 0.5), Point(1.5, 1.5))
    assert s1.intersection(s3) == [Segment(Point(0.5, 0.5), p2)]
    assert s1.intersection(Segment(Point(4, 4), Point(5, 5))) == []
    assert s1.intersection(Segment(Point(-1, -1), p1)) == [p1]
    assert s1.intersection(Segment(Point(-1, -1), Point(0.5, 0.5))) == [Segment(p1, Point(0.5, 0.5))]
    assert r4.intersection(r5) == [s1]
    assert r5.intersection(r6) == []
    assert r4.intersection(r7) == r7.intersection(r4) == [r7]

    # Segment contains
    a, b = symbols("a,b")
    s = Segment((0, a), (0, b))
    assert Point(0, (a + b) / 2) in s
    s = Segment((a, 0), (b, 0))
    assert Point((a + b) / 2, 0) in s

    raises(Undecidable, lambda: Point(2 * a, 0) in s)

    # Testing distance from a Segment to an object
    s1 = Segment(Point(0, 0), Point(1, 1))
    s2 = Segment(Point(half, half), Point(1, 0))
    pt1 = Point(0, 0)
    pt2 = Point(Rational(3) / 2, Rational(3) / 2)
    assert s1.distance(pt1) == 0
    assert s2.distance(pt1) == 2 ** (half) / 2
    assert s2.distance(pt2) == 2 ** (half)

    # Special cases of projection and intersection
    r1 = Ray(Point(1, 1), Point(2, 2))
    r2 = Ray(Point(2, 2), Point(0, 0))
    r3 = Ray(Point(1, 1), Point(-1, -1))
    r4 = Ray(Point(0, 4), Point(-1, -5))
    r5 = Ray(Point(2, 2), Point(3, 3))
    assert intersection(r1, r2) == [Segment(Point(1, 1), Point(2, 2))]
    assert intersection(r1, r3) == [Point(1, 1)]
    assert r1.projection(r3) == Point(1, 1)
    assert r1.projection(r4) == Segment(Point(1, 1), Point(2, 2))

    r5 = Ray(Point(0, 0), Point(0, 1))
    r6 = Ray(Point(0, 0), Point(0, 2))
    assert r5 in r6
    assert r6 in r5

    s1 = Segment(Point(0, 0), Point(2, 2))
    s2 = Segment(Point(-1, 5), Point(-5, -10))
    s3 = Segment(Point(0, 4), Point(-2, 2))
    assert intersection(r1, s1) == [Segment(Point(1, 1), Point(2, 2))]
    assert r1.projection(s2) == Segment(Point(1, 1), Point(2, 2))
    assert s3.projection(r1) == Segment(Point(0, 4), Point(-1, 3))

    l1 = Line(Point(0, 0), Point(3, 4))
    r1 = Ray(Point(0, 0), Point(3, 4))
    s1 = Segment(Point(0, 0), Point(3, 4))
    assert intersection(l1, l1) == [l1]
    assert intersection(l1, r1) == [r1]
    assert intersection(l1, s1) == [s1]
    assert intersection(r1, l1) == [r1]
    assert intersection(s1, l1) == [s1]

    entity1 = Segment(Point(-10, 10), Point(10, 10))
    entity2 = Segment(Point(-5, -5), Point(-5, 5))
    assert intersection(entity1, entity2) == []

    r1 = Ray(p1, Point(0, 1))
    r2 = Ray(Point(0, 1), p1)
    r3 = Ray(p1, p2)
    r4 = Ray(p2, p1)
    s1 = Segment(p1, Point(0, 1))
    assert Line(r1.source, r1.random_point()).slope == r1.slope
    assert Line(r2.source, r2.random_point()).slope == r2.slope
    assert Segment(Point(0, -1), s1.random_point()).slope == s1.slope
    p_r3 = r3.random_point()
    p_r4 = r4.random_point()
    assert p_r3.x >= p1.x and p_r3.y >= p1.y
    assert p_r4.x <= p2.x and p_r4.y <= p2.y
    p10 = Point(2000, 2000)
    s1 = Segment(p1, p10)
    p_s1 = s1.random_point()
    assert p1.x <= p_s1.x and p_s1.x <= p10.x and p1.y <= p_s1.y and p_s1.y <= p10.y
    s2 = Segment(p10, p1)

    assert hash(s1) == hash(s2)
    p11 = p10.scale(2, 2)
    assert s1.is_similar(Segment(p10, p11))
    assert s1.is_similar(r1) == False
    assert (r1 in s1) == False
    assert Segment(p1, p2) in s1
    assert s1.plot_interval() == [t, 0, 1]
    assert s1 in Line(p1, p10)
    assert Line(p1, p10) == Line(p10, p1)
    assert Line(p1, p10) != p1
    assert Line(p1, p10).plot_interval() == [t, -5, 5]
    assert Ray((0, 0), angle=pi / 4).plot_interval() == [t, 0, 5 * sqrt(2) / (1 + 5 * sqrt(2))]
开发者ID:flacjacket,项目名称:sympy,代码行数:104,代码来源:test_geometry.py

示例3: test_line_geom

# 需要导入模块: from sympy.geometry import Segment [as 别名]
# 或者: from sympy.geometry.Segment import plot_interval [as 别名]

#.........这里部分代码省略.........
    p = Point(2, 3)
    assert (l.distance(p) - 2*abs(m + 1)/sqrt(m**2 + 1)).equals(0)
    # Ray to point
    r = Ray(p1, p2)
    assert r.distance(Point(-1, -1)) == sqrt(2)
    assert r.distance(Point(1, 1)) == 0
    assert r.distance(Point(-1, 1)) == sqrt(2)
    assert Ray((1, 1), (2, 2)).distance(Point(1.5, 3)) == 3*sqrt(2)/4
    assert r.distance((1, 1)) == 0

    #Line contains
    p1, p2 = Point(0, 1), Point(3, 4)
    l = Line(p1, p2)
    assert l.contains(p1) is True
    assert l.contains((0, 1)) is True
    assert l.contains((0, 0)) is False

    #Ray contains
    p1, p2 = Point(0, 0), Point(4, 4)
    r = Ray(p1, p2)
    assert r.contains(p1) is True
    assert r.contains((1, 1)) is True
    assert r.contains((1, 3)) is False
    s = Segment((1, 1), (2, 2))
    assert r.contains(s) is True
    s = Segment((1, 2), (2, 5))
    assert r.contains(s) is False
    r1 = Ray((2, 2), (3, 3))
    assert r.contains(r1) is True
    r1 = Ray((2, 2), (3, 5))
    assert r.contains(r1) is False


    # Special cases of projection and intersection
    r1 = Ray(Point(1, 1), Point(2, 2))
    r2 = Ray(Point(2, 2), Point(0, 0))
    r3 = Ray(Point(1, 1), Point(-1, -1))
    r4 = Ray(Point(0, 4), Point(-1, -5))
    r5 = Ray(Point(2, 2), Point(3, 3))
    assert intersection(r1, r2) == [Segment(Point(1, 1), Point(2, 2))]
    assert intersection(r1, r3) == [Point(1, 1)]
    assert r1.projection(r3) == Point(1, 1)
    assert r1.projection(r4) == Segment(Point(1, 1), Point(2, 2))

    r5 = Ray(Point(0, 0), Point(0, 1))
    r6 = Ray(Point(0, 0), Point(0, 2))
    assert r5 in r6
    assert r6 in r5

    s1 = Segment(Point(0, 0), Point(2, 2))
    s2 = Segment(Point(-1, 5), Point(-5, -10))
    s3 = Segment(Point(0, 4), Point(-2, 2))
    assert intersection(r1, s1) == [Segment(Point(1, 1), Point(2, 2))]
    assert r1.projection(s2) == Segment(Point(1, 1), Point(2, 2))
    assert s3.projection(r1) == Segment(Point(0, 4), Point(-1, 3))

    l1 = Line(Point(0, 0), Point(3, 4))
    r1 = Ray(Point(0, 0), Point(3, 4))
    s1 = Segment(Point(0, 0), Point(3, 4))
    assert intersection(l1, l1) == [l1]
    assert intersection(l1, r1) == [r1]
    assert intersection(l1, s1) == [s1]
    assert intersection(r1, l1) == [r1]
    assert intersection(s1, l1) == [s1]

    entity1 = Segment(Point(-10, 10), Point(10, 10))
    entity2 = Segment(Point(-5, -5), Point(-5, 5))
    assert intersection(entity1, entity2) == []

    r1 = Ray(p1, Point(0, 1))
    r2 = Ray(Point(0, 1), p1)
    r3 = Ray(p1, p2)
    r4 = Ray(p2, p1)
    s1 = Segment(p1, Point(0, 1))
    assert Line(r1.source, r1.random_point()).slope == r1.slope
    assert Line(r2.source, r2.random_point()).slope == r2.slope
    assert Segment(Point(0, -1), s1.random_point()).slope == s1.slope
    p_r3 = r3.random_point()
    p_r4 = r4.random_point()
    assert p_r3.x >= p1.x and p_r3.y >= p1.y
    assert p_r4.x <= p2.x and p_r4.y <= p2.y
    p10 = Point(2000, 2000)
    s1 = Segment(p1, p10)
    p_s1 = s1.random_point()
    assert p1.x <= p_s1.x and p_s1.x <= p10.x and \
        p1.y <= p_s1.y and p_s1.y <= p10.y
    s2 = Segment(p10, p1)
    assert hash(s1) == hash(s2)
    p11 = p10.scale(2, 2)
    assert s1.is_similar(Segment(p10, p11))
    assert s1.is_similar(r1) is False
    assert (r1 in s1) is False
    assert Segment(p1, p2) in s1
    assert s1.plot_interval() == [t, 0, 1]
    assert s1 in Line(p1, p10)
    assert Line(p1, p10) != Line(p10, p1)
    assert Line(p1, p10) != p1
    assert Line(p1, p10).plot_interval() == [t, -5, 5]
    assert Ray((0, 0), angle=pi/4).plot_interval() == \
        [t, 0, 10]
开发者ID:alexako,项目名称:sympy,代码行数:104,代码来源:test_line.py


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