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