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