本文整理汇总了Python中sympy.geometry.Ellipse.random_point方法的典型用法代码示例。如果您正苦于以下问题：Python Ellipse.random_point方法的具体用法？Python Ellipse.random_point怎么用？Python Ellipse.random_point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类sympy.geometry.Ellipse的用法示例。
在下文中一共展示了Ellipse.random_point方法的6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_ellipse_random_point
# 需要导入模块: from sympy.geometry import Ellipse [as 别名]
# 或者: from sympy.geometry.Ellipse import random_point [as 别名]
def test_ellipse_random_point():
e3 = Ellipse(Point(0, 0), y1, y1)
rx, ry = Symbol("rx"), Symbol("ry")
for ind in xrange(0, 5):
r = e3.random_point()
# substitution should give zero*y1**2
assert e3.equation(rx, ry).subs(zip((rx, ry), r.args)).equals(0)示例2: test_ellipse_random_point
# 需要导入模块: from sympy.geometry import Ellipse [as 别名]
# 或者: from sympy.geometry.Ellipse import random_point [as 别名]
def test_ellipse_random_point():
y1 = Symbol('y1', real=True)
e3 = Ellipse(Point(0, 0), y1, y1)
rx, ry = Symbol('rx'), Symbol('ry')
for ind in range(0, 5):
r = e3.random_point()
# substitution should give zero*y1**2
assert e3.equation(rx, ry).subs(zip((rx, ry), r.args)).equals(0)示例3: test_ellipse_random_point
# 需要导入模块: from sympy.geometry import Ellipse [as 别名]
# 或者: from sympy.geometry.Ellipse import random_point [as 别名]
def test_ellipse_random_point():
e3 = Ellipse(Point(0, 0), y1, y1)
rx, ry = Symbol('rx'), Symbol('ry')
for ind in xrange(0, 5):
r = e3.random_point()
# substitution should give zero*y1**2
assert e3.equation(rx, ry).subs(zip((rx, ry), r.args)
).n(3).as_coeff_Mul()[0] < 1e-10示例4: test_ellipse_random_point
# 需要导入模块: from sympy.geometry import Ellipse [as 别名]
# 或者: from sympy.geometry.Ellipse import random_point [as 别名]
def test_ellipse_random_point():
e3 = Ellipse(Point(0, 0), y1, y1)
for ind in xrange(0, 5):
assert e3.random_point() in e3示例5: test_ellipse
# 需要导入模块: from sympy.geometry import Ellipse [as 别名]
# 或者: from sympy.geometry.Ellipse import random_point [as 别名]
def test_ellipse():
p1 = Point(0, 0)
p2 = Point(1, 1)
p3 = Point(x1, x2)
p4 = Point(0, 1)
p5 = Point(-1, 0)
e1 = Ellipse(p1, 1, 1)
e2 = Ellipse(p2, half, 1)
e3 = Ellipse(p1, y1, y1)
c1 = Circle(p1, 1)
c2 = Circle(p2,1)
c3 = Circle(Point(sqrt(2),sqrt(2)),1)
# Test creation with three points
cen,rad = Point(3*half, 2), 5*half
assert Circle(Point(0,0), Point(3,0), Point(0,4)) == Circle(cen, rad)
raises(GeometryError, "Circle(Point(0,0), Point(1,1), Point(2,2))")
# Basic Stuff
assert e1 == c1
assert e1 != e2
assert p4 in e1
assert p2 not in e2
assert e1.area == pi
assert e2.area == pi/2
assert e3.area == pi*(y1**2)
assert c1.area == e1.area
assert c1.circumference == 2*pi
assert e2.arbitrary_point() in e2
for ind in xrange(0, 5):
assert e3.random_point() in e3
# Foci
f1,f2 = Point(sqrt(12), 0), Point(-sqrt(12), 0)
ef = Ellipse(Point(0, 0), 4, 2)
assert ef.foci in [(f1, f2), (f2, f1)]
# Tangents
v = sqrt(2) / 2
p1_1 = Point(v, v)
p1_2 = p2 + Point(half, 0)
p1_3 = p2 + Point(0, 1)
assert e1.tangent_line(p4) == c1.tangent_line(p4)
assert e2.tangent_line(p1_2) == Line(p1_2, p2 + Point(half, 1))
assert e2.tangent_line(p1_3) == Line(p1_3, p2 + Point(half, 1))
assert c1.tangent_line(p1_1) == Line(p1_1, Point(0, sqrt(2)))
assert e2.is_tangent(Line(p1_2, p2 + Point(half, 1)))
assert e2.is_tangent(Line(p1_3, p2 + Point(half, 1)))
assert c1.is_tangent(Line(p1_1, Point(0, sqrt(2))))
assert e1.is_tangent(Line(Point(0, 0), Point(1, 1))) == False
# Intersection
l1 = Line(Point(1, -5), Point(1, 5))
l2 = Line(Point(-5, -1), Point(5, -1))
l3 = Line(Point(-1, -1), Point(1, 1))
l4 = Line(Point(-10, 0), Point(0, 10))
pts_c1_l3 = [Point(sqrt(2)/2, sqrt(2)/2), Point(-sqrt(2)/2, -sqrt(2)/2)]
assert intersection(e2, l4) == []
assert intersection(c1, Point(1, 0)) == [Point(1, 0)]
assert intersection(c1, l1) == [Point(1, 0)]
assert intersection(c1, l2) == [Point(0, -1)]
assert intersection(c1, l3) in [pts_c1_l3, [pts_c1_l3[1], pts_c1_l3[0]]]
assert intersection(c1, c2) in [[(1,0), (0,1)],[(0,1),(1,0)]]
assert intersection(c1, c3) == [(sqrt(2)/2, sqrt(2)/2)]
# some special case intersections
csmall = Circle(p1, 3)
cbig = Circle(p1, 5)
cout = Circle(Point(5, 5), 1)
# one circle inside of another
assert csmall.intersection(cbig) == []
# separate circles
assert csmall.intersection(cout) == []
# coincident circles
assert csmall.intersection(csmall) == csmall
v = sqrt(2)
t1 = Triangle(Point(0, v), Point(0, -v), Point(v, 0))
points = intersection(t1, c1)
assert len(points) == 4
assert Point(0, 1) in points
assert Point(0, -1) in points
assert Point(v/2, v/2) in points
assert Point(v/2, -v/2) in points
e1 = Circle(Point(0, 0), 5)
e2 = Ellipse(Point(0, 0), 5, 20)
assert intersection(e1, e2) in \
[[Point(5, 0), Point(-5, 0)], [Point(-5, 0), Point(5, 0)]]
# FAILING ELLIPSE INTERSECTION GOES HERE
# Combinations of above
assert e3.is_tangent(e3.tangent_line(p1 + Point(y1, 0)))
major = 3
minor = 1
#.........这里部分代码省略.........
示例6: test_ellipse
# 需要导入模块: from sympy.geometry import Ellipse [as 别名]
# 或者: from sympy.geometry.Ellipse import random_point [as 别名]
def test_ellipse():
p1 = Point(0, 0)
p2 = Point(1, 1)
p3 = Point(x1, x2)
p4 = Point(0, 1)
p5 = Point(-1, 0)
e1 = Ellipse(p1, 1, 1)
e2 = Ellipse(p2, half, 1)
e3 = Ellipse(p1, y1, y1)
c1 = Circle(p1, 1)
c2 = Circle(p2,1)
c3 = Circle(Point(sqrt(2),sqrt(2)),1)
# Test creation with three points
cen,rad = Point(3*half, 2), 5*half
assert Circle(Point(0,0), Point(3,0), Point(0,4)) == Circle(cen, rad)
raises(GeometryError, "Circle(Point(0,0), Point(1,1), Point(2,2))")
# Basic Stuff
assert e1 == c1
assert e1 != e2
assert p4 in e1
assert p2 not in e2
assert e1.area == pi
assert e2.area == pi/2
assert e3.area == pi*(y1**2)
assert c1.area == e1.area
assert c1.circumference == 2*pi
assert e2.arbitrary_point() in e2
for ind in xrange(0, 5):
assert e3.random_point() in e3
# Foci
f1,f2 = Point(sqrt(12), 0), Point(-sqrt(12), 0)
ef = Ellipse(Point(0, 0), 4, 2)
assert ef.foci in [(f1, f2), (f2, f1)]
# Tangents
v = sqrt(2) / 2
p1_1 = Point(v, v)
p1_2 = p2 + Point(half, 0)
p1_3 = p2 + Point(0, 1)
assert e1.tangent_line(p4) == c1.tangent_line(p4)
assert e2.tangent_line(p1_2) == Line(p1_2, p2 + Point(half, 1))
assert e2.tangent_line(p1_3) == Line(p1_3, p2 + Point(half, 1))
assert c1.tangent_line(p1_1) == Line(p1_1, Point(0, sqrt(2)))
assert e2.is_tangent(Line(p1_2, p2 + Point(half, 1)))
assert e2.is_tangent(Line(p1_3, p2 + Point(half, 1)))
assert c1.is_tangent(Line(p1_1, Point(0, sqrt(2))))
assert e1.is_tangent(Line(Point(0, 0), Point(1, 1))) == False
# Intersection
l1 = Line(Point(1, -5), Point(1, 5))
l2 = Line(Point(-5, -1), Point(5, -1))
l3 = Line(Point(-1, -1), Point(1, 1))
l4 = Line(Point(-10, 0), Point(0, 10))
pts_c1_l3 = [Point(sqrt(2)/2, sqrt(2)/2), Point(-sqrt(2)/2, -sqrt(2)/2)]
assert intersection(e2, l4) == []
assert intersection(c1, Point(1, 0)) == [Point(1, 0)]
assert intersection(c1, l1) == [Point(1, 0)]
assert intersection(c1, l2) == [Point(0, -1)]
assert intersection(c1, l3) in [pts_c1_l3, [pts_c1_l3[1], pts_c1_l3[0]]]
assert intersection(c1, c2) in [[(1,0), (0,1)],[(0,1),(1,0)]]
assert intersection(c1, c3) == [(sqrt(2)/2, sqrt(2)/2)]
v = sqrt(2)
t1 = Triangle(Point(0, v), Point(0, -v), Point(v, 0))
points = intersection(t1, c1)
assert len(points) == 4
assert Point(0, 1) in points
assert Point(0, -1) in points
assert Point(v/2, v/2) in points
assert Point(v/2, -v/2) in points
e1 = Circle(Point(0, 0), 5)
e2 = Ellipse(Point(0, 0), 5, 20)
assert intersection(e1, e2) in \
[[Point(5, 0), Point(-5, 0)], [Point(-5, 0), Point(5, 0)]]
# Combinations of above
assert e3.is_tangent(e3.tangent_line(p1 + Point(y1, 0)))