Initialisation du repository de Beta
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from sympy.strategies.traverse import (
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top_down, bottom_up, sall, top_down_once, bottom_up_once, basic_fns)
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from sympy.strategies.rl import rebuild
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from sympy.strategies.util import expr_fns
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from sympy.core.add import Add
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from sympy.core.basic import Basic
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from sympy.core.numbers import Integer
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from sympy.core.singleton import S
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from sympy.core.symbol import Str, Symbol
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from sympy.abc import x, y, z
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def zero_symbols(expression):
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return S.Zero if isinstance(expression, Symbol) else expression
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def test_sall():
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zero_onelevel = sall(zero_symbols)
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assert zero_onelevel(Basic(x, y, Basic(x, z))) == \
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Basic(S(0), S(0), Basic(x, z))
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def test_bottom_up():
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_test_global_traversal(bottom_up)
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_test_stop_on_non_basics(bottom_up)
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def test_top_down():
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_test_global_traversal(top_down)
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_test_stop_on_non_basics(top_down)
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def _test_global_traversal(trav):
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zero_all_symbols = trav(zero_symbols)
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assert zero_all_symbols(Basic(x, y, Basic(x, z))) == \
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Basic(S(0), S(0), Basic(S(0), S(0)))
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def _test_stop_on_non_basics(trav):
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def add_one_if_can(expr):
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try:
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return expr + 1
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except TypeError:
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return expr
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expr = Basic(S(1), Str('a'), Basic(S(2), Str('b')))
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expected = Basic(S(2), Str('a'), Basic(S(3), Str('b')))
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rl = trav(add_one_if_can)
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assert rl(expr) == expected
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class Basic2(Basic):
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pass
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def rl(x):
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if x.args and not isinstance(x.args[0], Integer):
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return Basic2(*x.args)
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return x
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def test_top_down_once():
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top_rl = top_down_once(rl)
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assert top_rl(Basic(S(1.0), S(2.0), Basic(S(3), S(4)))) == \
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Basic2(S(1.0), S(2.0), Basic(S(3), S(4)))
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def test_bottom_up_once():
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bottom_rl = bottom_up_once(rl)
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assert bottom_rl(Basic(S(1), S(2), Basic(S(3.0), S(4.0)))) == \
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Basic(S(1), S(2), Basic2(S(3.0), S(4.0)))
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def test_expr_fns():
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expr = x + y**3
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e = bottom_up(lambda v: v + 1, expr_fns)(expr)
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b = bottom_up(lambda v: Basic.__new__(Add, v, S(1)), basic_fns)(expr)
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assert rebuild(b) == e
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