本文整理汇总了Python中sympy.geometry.Line.parallel_line方法的典型用法代码示例。如果您正苦于以下问题：Python Line.parallel_line方法的具体用法？Python Line.parallel_line怎么用？Python Line.parallel_line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.Line的用法示例。
在下文中一共展示了Line.parallel_line方法的5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
# 需要导入模块: from sympy.geometry import Line [as 别名]
# 或者: from sympy.geometry.Line import parallel_line [as 别名]
def test_line():
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(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 xrange(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) == l1_1
assert Line.is_perpendicular(l1, l1_1)
assert Line.is_perpendicular(l1, l2) == False
p = l1.random_point()
assert l1.perpendicular_segment(p) == p
# Parallelity
p2_1 = Point(-2 * x1, 0)
l2_1 = Line(p3, p5)
assert l2.parallel_line(p1_1) == Line(p2_1, p1_1)
assert l2_1.parallel_line(p1) == Line(p1, Point(0, 2))
assert Line.is_parallel(l1, l2)
assert Line.is_parallel(l2, l3) == 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.is_concurrent(l1) == False
assert Line.is_concurrent(l1, l3)
assert Line.is_concurrent(l1, l3, l3_1)
assert Line.is_concurrent(l1, l1_1, l3) == 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
l1_1 = Line(p1, Point(5, 0))
assert feq(Line.angle_between(l1, l1_1).evalf(), pi.evalf() / 4)
# Testing Rays and Segments (very similar to Lines)
assert Ray((1, 1), angle=pi / 4) == Ray((1, 1), (2, 2))
assert Ray((1, 1), angle=pi / 2) == Ray((1, 1), (1, 2))
assert Ray((1, 1), angle=-pi / 2) == Ray((1, 1), (1, 0))
assert Ray((1, 1), angle=-3 * pi / 2) == Ray((1, 1), (1, 2))
assert Ray((1, 1), angle=5 * pi / 2) == Ray((1, 1), (1, 2))
#.........这里部分代码省略.........
示例2: test_line
# 需要导入模块: from sympy.geometry import Line [as 别名]
# 或者: from sympy.geometry.Line import parallel_line [as 别名]
def test_line():
p1 = Point(0, 0)
p2 = Point(1, 1)
p3 = Point(x1, x1)
p4 = Point(y1, y1)
p5 = Point(x1, 1 + x1)
l1 = Line(p1, p2)
l2 = Line(p3, p4)
l3 = Line(p3, p5)
# Basic stuff
assert Line(p1, p2) == Line(p2, p1)
assert l1 == l2
assert l1 != l3
assert l1.slope == 1
assert l3.slope == oo
assert p1 in l1 # is p1 on the line l1?
assert p1 not in l3
assert simplify(l1.equation()) in (x-y, y-x)
assert simplify(l3.equation()) in (x-x1, x1-x)
assert l2.arbitrary_point() in l2
for ind in xrange(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) == l1_1
assert Line.is_perpendicular(l1, l1_1)
assert Line.is_perpendicular(l1 , l2) == False
# Parallelity
p2_1 = Point(-2*x1, 0)
l2_1 = Line(p3, p5)
assert l2.parallel_line(p1_1) == Line(p2_1, p1_1)
assert l2_1.parallel_line(p1) == Line(p1, Point(0, 2))
assert Line.is_parallel(l1, l2)
assert Line.is_parallel(l2, l3) == 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.is_concurrent(l1, l3)
assert Line.is_concurrent(l1, l3, l3_1)
assert Line.is_concurrent(l1, l1_1, l3) == False
# Projection
assert l2.projection(p4) == p4
assert l1.projection(p1_1) == p1
assert l3.projection(p2) == Point(x1, 1)
# Finding angles
l1_1 = Line(p1, Point(5, 0))
assert feq(Line.angle_between(l1, l1_1).evalf(), pi.evalf()/4)
# Testing Rays and Segments (very similar to Lines)
r1 = Ray(p1, Point(-1, 5))
r2 = Ray(p1, Point(-1, 1))
r3 = Ray(p3, p5)
assert l1.projection(r1) == Ray(p1, p2)
assert l1.projection(r2) == p1
assert r3 != r1
s1 = Segment(p1, p2)
s2 = Segment(p1, p1_1)
assert s1.midpoint == Point(Rational(1,2), Rational(1,2))
assert s2.length == sqrt( 2*(x1**2) )
assert s1.perpendicular_bisector() == Line(Point(0, 1), Point(1, 0))
# 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))
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))
#.........这里部分代码省略.........
示例3: test_line
# 需要导入模块: from sympy.geometry import Line [as 别名]
# 或者: from sympy.geometry.Line import parallel_line [as 别名]
def test_line():
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)
# 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, "Line((1, 1), 1)")
assert Line(p1, p2) == Line(p2, p1)
assert l1 == l2
assert l1 != l3
assert l1.slope == 1
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 simplify(l1.equation()) in (x - y, y - x)
assert simplify(l3.equation()) in (x - x1, x1 - x)
assert l2.arbitrary_point() in l2
for ind in xrange(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) == l1_1
assert Line.is_perpendicular(l1, l1_1)
assert Line.is_perpendicular(l1, l2) == False
# Parallelity
p2_1 = Point(-2 * x1, 0)
l2_1 = Line(p3, p5)
assert l2.parallel_line(p1_1) == Line(p2_1, p1_1)
assert l2_1.parallel_line(p1) == Line(p1, Point(0, 2))
assert Line.is_parallel(l1, l2)
assert Line.is_parallel(l2, l3) == 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.is_concurrent(l1, l3)
assert Line.is_concurrent(l1, l3, l3_1)
assert Line.is_concurrent(l1, l1_1, l3) == False
# Projection
assert l2.projection(p4) == p4
assert l1.projection(p1_1) == p1
assert l3.projection(p2) == Point(x1, 1)
# Finding angles
l1_1 = Line(p1, Point(5, 0))
assert feq(Line.angle_between(l1, l1_1).evalf(), pi.evalf() / 4)
# Testing Rays and Segments (very similar to Lines)
assert Ray((1, 1), angle=pi / 4) == Ray((1, 1), (2, 2))
assert Ray((1, 1), angle=pi / 2) == Ray((1, 1), (1, 2))
assert Ray((1, 1), angle=-pi / 2) == Ray((1, 1), (1, 0))
assert Ray((1, 1), angle=-3 * pi / 2) == Ray((1, 1), (1, 2))
assert Ray((1, 1), angle=5 * pi / 2) == Ray((1, 1), (1, 2))
assert Ray((1, 1), angle=5.0 * pi / 2) == Ray((1, 1), (1, 2))
assert Ray((1, 1), angle=pi) == Ray((1, 1), (0, 1))
assert Ray((1, 1), angle=3.0 * pi) == Ray((1, 1), (0, 1))
assert Ray((1, 1), angle=4.0 * pi) == Ray((1, 1), (2, 1))
assert Ray((1, 1), angle=0) == Ray((1, 1), (2, 1))
# XXX don't know why this fails without str
assert str(Ray((1, 1), angle=4.2 * pi)) == str(Ray(Point(1, 1), Point(2, 1 + C.tan(0.2 * pi))))
assert Ray((1, 1), angle=5) == Ray((1, 1), (2, 1 + C.tan(5)))
raises(ValueError, "Ray((1, 1), 1)")
#.........这里部分代码省略.........
示例4: test_line_geom
# 需要导入模块: from sympy.geometry import Line [as 别名]
# 或者: from sympy.geometry.Line import parallel_line [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(TypeError, 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).equals( Line(Point(0, 0), Point(1, -1)) )
assert l1.perpendicular_line(p1).equals( 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).equals( Line(Point(-x1, x1), Point(-y1, 2*x1 - y1)) )
assert l2_1.parallel_line(p1.args).equals( Line(Point(0, 0), Point(0, -1)) )
assert l2_1.parallel_line(p1).equals( 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.........
示例5: test_intersection_2d
# 需要导入模块: from sympy.geometry import Line [as 别名]
# 或者: from sympy.geometry.Line import parallel_line [as 别名]
def test_intersection_2d():
p1 = Point(0, 0)
p2 = Point(1, 1)
p3 = Point(x1, x1)
p4 = Point(y1, y1)
l1 = Line(p1, p2)
l3 = Line(Point(0, 0), Point(3, 4))
r1 = Ray(Point(1, 1), Point(2, 2))
r2 = Ray(Point(0, 0), Point(3, 4))
r4 = Ray(p1, p2)
r6 = Ray(Point(0, 1), Point(1, 2))
r7 = Ray(Point(0.5, 0.5), Point(1, 1))
s1 = Segment(p1, p2)
s2 = Segment(Point(0.25, 0.25), Point(0.5, 0.5))
s3 = Segment(Point(0, 0), Point(3, 4))
assert intersection(l1, p1) == [p1]
assert intersection(l1, Point(x1, 1 + x1)) == []
assert intersection(l1, Line(p3, p4)) in [[l1], [Line(p3, p4)]]
assert intersection(l1, l1.parallel_line(Point(x1, 1 + x1))) == []
assert intersection(l3, l3) == [l3]
assert intersection(l3, r2) == [r2]
assert intersection(l3, s3) == [s3]
assert intersection(s3, l3) == [s3]
assert intersection(Segment(Point(-10, 10), Point(10, 10)), Segment(Point(-5, -5), Point(-5, 5))) == []
assert intersection(r2, l3) == [r2]
assert intersection(r1, Ray(Point(2, 2), Point(0, 0))) == [Segment(Point(1, 1), Point(2, 2))]
assert intersection(r1, Ray(Point(1, 1), Point(-1, -1))) == [Point(1, 1)]
assert intersection(r1, Segment(Point(0, 0), Point(2, 2))) == [Segment(Point(1, 1), Point(2, 2))]
assert r4.intersection(s2) == [s2]
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))]
assert r4.intersection(Ray(p2, p1)) == [s1]
assert Ray(p2, p1).intersection(r6) == []
assert r4.intersection(r7) == r7.intersection(r4) == [r7]
assert Ray3D((0, 0), (3, 0)).intersection(Ray3D((1, 0), (3, 0))) == [Ray3D((1, 0), (3, 0))]
assert Ray3D((1, 0), (3, 0)).intersection(Ray3D((0, 0), (3, 0))) == [Ray3D((1, 0), (3, 0))]
assert Ray(Point(0, 0), Point(0, 4)).intersection(Ray(Point(0, 1), Point(0, -1))) == \
[Segment(Point(0, 0), Point(0, 1))]
assert Segment3D((0, 0), (3, 0)).intersection(
Segment3D((1, 0), (2, 0))) == [Segment3D((1, 0), (2, 0))]
assert Segment3D((1, 0), (2, 0)).intersection(
Segment3D((0, 0), (3, 0))) == [Segment3D((1, 0), (2, 0))]
assert Segment3D((0, 0), (3, 0)).intersection(
Segment3D((3, 0), (4, 0))) == [Point3D((3, 0))]
assert Segment3D((0, 0), (3, 0)).intersection(
Segment3D((2, 0), (5, 0))) == [Segment3D((2, 0), (3, 0))]
assert Segment3D((0, 0), (3, 0)).intersection(
Segment3D((-2, 0), (1, 0))) == [Segment3D((0, 0), (1, 0))]
assert Segment3D((0, 0), (3, 0)).intersection(
Segment3D((-2, 0), (0, 0))) == [Point3D(0, 0)]
assert s1.intersection(Segment(Point(1, 1), Point(2, 2))) == [Point(1, 1)]
assert s1.intersection(Segment(Point(0.5, 0.5), Point(1.5, 1.5))) == [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 s1.intersection(Line(Point(1, 0), Point(2, 1))) == []
assert s1.intersection(s2) == [s2]
assert s2.intersection(s1) == [s2]
assert asa(120, 8, 52) == \
Triangle(
Point(0, 0),
Point(8, 0),
Point(-4 * cos(19 * pi / 90) / sin(2 * pi / 45),
4 * sqrt(3) * cos(19 * pi / 90) / sin(2 * pi / 45)))
assert Line((0, 0), (1, 1)).intersection(Ray((1, 0), (1, 2))) == [Point(1, 1)]
assert Line((0, 0), (1, 1)).intersection(Segment((1, 0), (1, 2))) == [Point(1, 1)]
assert Ray((0, 0), (1, 1)).intersection(Ray((1, 0), (1, 2))) == [Point(1, 1)]
assert Ray((0, 0), (1, 1)).intersection(Segment((1, 0), (1, 2))) == [Point(1, 1)]
assert Ray((0, 0), (10, 10)).contains(Segment((1, 1), (2, 2))) is True
assert Segment((1, 1), (2, 2)) in Line((0, 0), (10, 10))
# 16628 - this should be fast
p0 = Point2D(S(249)/5, S(497999)/10000)
p1 = Point2D((-58977084786*sqrt(405639795226) + 2030690077184193 +
20112207807*sqrt(630547164901) + 99600*sqrt(255775022850776494562626))
/(2000*sqrt(255775022850776494562626) + 1991998000*sqrt(405639795226)
+ 1991998000*sqrt(630547164901) + 1622561172902000),
(-498000*sqrt(255775022850776494562626) - 995999*sqrt(630547164901) +
90004251917891999 +
496005510002*sqrt(405639795226))/(10000*sqrt(255775022850776494562626)
+ 9959990000*sqrt(405639795226) + 9959990000*sqrt(630547164901) +
8112805864510000))
p2 = Point2D(S(497)/10, -S(497)/10)
p3 = Point2D(-S(497)/10, -S(497)/10)
l = Line(p0, p1)
s = Segment(p2, p3)
n = (-52673223862*sqrt(405639795226) - 15764156209307469 -
9803028531*sqrt(630547164901) +
33200*sqrt(255775022850776494562626))
d = sqrt(405639795226) + 315274080450 + 498000*sqrt(
630547164901) + sqrt(255775022850776494562626)
assert intersection(l, s) == [
Point2D(n/d*S(3)/2000, -S(497)/10)]