def test_object_from_equation():
from sympy.abc import x, y, a, b
assert Line(3*x + y + 18) == Line2D(Point2D(0, -18), Point2D(1, -21))
assert Line(3*x + 5 * y + 1) == Line2D(Point2D(0, -1/5), Point2D(1, -4/5))
assert Line(3*a + b + 18, x='a', y='b') == Line2D(Point2D(0, -18), Point2D(1, -21))
assert Line(3*x + y) == Line2D(Point2D(0, 0), Point2D(1, -3))
assert Line(x + y) == Line2D(Point2D(0, 0), Point2D(1, -1))
raises(ValueError, lambda: Line(x))
raises(ValueError, lambda: Line(y))
raises(ValueError, lambda: Line(x/y))
raises(ValueError, lambda: Line(a/b, x='a', y='b'))
raises(ValueError, lambda: Line(y/x))
raises(ValueError, lambda: Line(b/a, x='a', y='b'))
raises(ValueError, lambda: Line((x + 1)**2 + y))
def test_arguments():
"""Functions accepting `Point` objects in `geometry`
should also accept tuples, lists, and generators and
automatically convert them to points."""
from sympy import subsets
singles2d = ((1, 2), [1, 3], Point(1, 5))
doubles2d = subsets(singles2d, 2)
l2d = Line(Point2D(1, 2), Point2D(2, 3))
singles3d = ((1, 2, 3), [1, 2, 4], Point(1, 2, 6))
doubles3d = subsets(singles3d, 2)
l3d = Line(Point3D(1, 2, 3), Point3D(1, 1, 2))
singles4d = ((1, 2, 3, 4), [1, 2, 3, 5], Point(1, 2, 3, 7))
doubles4d = subsets(singles4d, 2)
l4d = Line(Point(1, 2, 3, 4), Point(2, 2, 2, 2))
# test 2D
test_single = ['contains', 'distance', 'equals', 'parallel_line', 'perpendicular_line', 'perpendicular_segment',
'projection', 'intersection']
for p in doubles2d:
Line2D(*p)
for func in test_single:
for p in singles2d:
getattr(l2d, func)(p)
# test 3D
for p in doubles3d:
Line3D(*p)
for func in test_single:
for p in singles3d:
getattr(l3d, func)(p)
# test 4D
for p in doubles4d:
Line(*p)
for func in test_single:
for p in singles4d:
getattr(l4d, func)(p)
def test_object_from_equation():
from sympy.abc import x, y, a, b
assert Line(3 * x + y + 18) == Line2D(Point2D(0, -18), Point2D(1, -21))
assert Line(3 * x + 5 * y + 1) == Line2D(Point2D(0, Rational(-1, 5)),
Point2D(1, Rational(-4, 5)))
assert Line(3 * a + b + 18, x="a",
y="b") == Line2D(Point2D(0, -18), Point2D(1, -21))
assert Line(3 * x + y) == Line2D(Point2D(0, 0), Point2D(1, -3))
assert Line(x + y) == Line2D(Point2D(0, 0), Point2D(1, -1))
assert Line(Eq(3 * a + b, -18), x="a",
y=b) == Line2D(Point2D(0, -18), Point2D(1, -21))
raises(ValueError, lambda: Line(x))
raises(ValueError, lambda: Line(y))
raises(ValueError, lambda: Line(x / y))
raises(ValueError, lambda: Line(a / b, x="a", y="b"))
raises(ValueError, lambda: Line(y / x))
raises(ValueError, lambda: Line(b / a, x="a", y="b"))
raises(ValueError, lambda: Line((x + 1)**2 + y))
