121 lines
3.8 KiB
Python
121 lines
3.8 KiB
Python
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from sympy.core.numbers import (Rational, pi)
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from sympy.core.singleton import S
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from sympy.core.symbol import Symbol
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from sympy.geometry import (Circle, Ellipse, Point, Line, Parabola,
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Polygon, Ray, RegularPolygon, Segment, Triangle, Plane, Curve)
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from sympy.geometry.entity import scale, GeometryEntity
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from sympy.testing.pytest import raises
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def test_entity():
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x = Symbol('x', real=True)
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y = Symbol('y', real=True)
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assert GeometryEntity(x, y) in GeometryEntity(x, y)
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raises(NotImplementedError, lambda: Point(0, 0) in GeometryEntity(x, y))
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assert GeometryEntity(x, y) == GeometryEntity(x, y)
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assert GeometryEntity(x, y).equals(GeometryEntity(x, y))
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c = Circle((0, 0), 5)
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assert GeometryEntity.encloses(c, Point(0, 0))
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assert GeometryEntity.encloses(c, Segment((0, 0), (1, 1)))
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assert GeometryEntity.encloses(c, Line((0, 0), (1, 1))) is False
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assert GeometryEntity.encloses(c, Circle((0, 0), 4))
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assert GeometryEntity.encloses(c, Polygon(Point(0, 0), Point(1, 0), Point(0, 1)))
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assert GeometryEntity.encloses(c, RegularPolygon(Point(8, 8), 1, 3)) is False
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def test_svg():
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a = Symbol('a')
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b = Symbol('b')
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d = Symbol('d')
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entity = Circle(Point(a, b), d)
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assert entity._repr_svg_() is None
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entity = Circle(Point(0, 0), S.Infinity)
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assert entity._repr_svg_() is None
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def test_subs():
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x = Symbol('x', real=True)
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y = Symbol('y', real=True)
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p = Point(x, 2)
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q = Point(1, 1)
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r = Point(3, 4)
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for o in [p,
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Segment(p, q),
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Ray(p, q),
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Line(p, q),
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Triangle(p, q, r),
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RegularPolygon(p, 3, 6),
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Polygon(p, q, r, Point(5, 4)),
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Circle(p, 3),
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Ellipse(p, 3, 4)]:
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assert 'y' in str(o.subs(x, y))
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assert p.subs({x: 1}) == Point(1, 2)
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assert Point(1, 2).subs(Point(1, 2), Point(3, 4)) == Point(3, 4)
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assert Point(1, 2).subs((1, 2), Point(3, 4)) == Point(3, 4)
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assert Point(1, 2).subs(Point(1, 2), Point(3, 4)) == Point(3, 4)
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assert Point(1, 2).subs({(1, 2)}) == Point(2, 2)
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raises(ValueError, lambda: Point(1, 2).subs(1))
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raises(ValueError, lambda: Point(1, 1).subs((Point(1, 1), Point(1,
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2)), 1, 2))
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def test_transform():
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assert scale(1, 2, (3, 4)).tolist() == \
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[[1, 0, 0], [0, 2, 0], [0, -4, 1]]
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def test_reflect_entity_overrides():
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x = Symbol('x', real=True)
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y = Symbol('y', real=True)
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b = Symbol('b')
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m = Symbol('m')
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l = Line((0, b), slope=m)
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p = Point(x, y)
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r = p.reflect(l)
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c = Circle((x, y), 3)
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cr = c.reflect(l)
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assert cr == Circle(r, -3)
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assert c.area == -cr.area
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pent = RegularPolygon((1, 2), 1, 5)
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slope = S.ComplexInfinity
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while slope is S.ComplexInfinity:
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slope = Rational(*(x._random()/2).as_real_imag())
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l = Line(pent.vertices[1], slope=slope)
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rpent = pent.reflect(l)
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assert rpent.center == pent.center.reflect(l)
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rvert = [i.reflect(l) for i in pent.vertices]
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for v in rpent.vertices:
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for i in range(len(rvert)):
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ri = rvert[i]
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if ri.equals(v):
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rvert.remove(ri)
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break
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assert not rvert
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assert pent.area.equals(-rpent.area)
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def test_geometry_EvalfMixin():
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x = pi
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t = Symbol('t')
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for g in [
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Point(x, x),
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Plane(Point(0, x, 0), (0, 0, x)),
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Curve((x*t, x), (t, 0, x)),
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Ellipse((x, x), x, -x),
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Circle((x, x), x),
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Line((0, x), (x, 0)),
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Segment((0, x), (x, 0)),
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Ray((0, x), (x, 0)),
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Parabola((0, x), Line((-x, 0), (x, 0))),
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Polygon((0, 0), (0, x), (x, 0), (x, x)),
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RegularPolygon((0, x), x, 4, x),
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Triangle((0, 0), (x, 0), (x, x)),
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]:
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assert str(g).replace('pi', '3.1') == str(g.n(2))
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