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- from sympy.diffgeom import Manifold, Patch, CoordSystem, Point
- from sympy.core.function import Function
- from sympy.core.symbol import symbols
- from sympy.testing.pytest import warns_deprecated_sympy
- m = Manifold('m', 2)
- p = Patch('p', m)
- a, b = symbols('a b')
- cs = CoordSystem('cs', p, [a, b])
- x, y = symbols('x y')
- f = Function('f')
- s1, s2 = cs.coord_functions()
- v1, v2 = cs.base_vectors()
- f1, f2 = cs.base_oneforms()
- def test_point():
- point = Point(cs, [x, y])
- assert point != Point(cs, [2, y])
- #TODO assert point.subs(x, 2) == Point(cs, [2, y])
- #TODO assert point.free_symbols == set([x, y])
- def test_subs():
- assert s1.subs(s1, s2) == s2
- assert v1.subs(v1, v2) == v2
- assert f1.subs(f1, f2) == f2
- assert (x*f(s1) + y).subs(s1, s2) == x*f(s2) + y
- assert (f(s1)*v1).subs(v1, v2) == f(s1)*v2
- assert (y*f(s1)*f1).subs(f1, f2) == y*f(s1)*f2
- def test_deprecated():
- with warns_deprecated_sympy():
- cs_wname = CoordSystem('cs', p, ['a', 'b'])
- assert cs_wname == cs_wname.func(*cs_wname.args)
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