91 lines
3.4 KiB
Python
91 lines
3.4 KiB
Python
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"""Tests for tools for manipulation of expressions using paths. """
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from sympy.simplify.epathtools import epath, EPath
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from sympy.testing.pytest import raises
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from sympy.core.numbers import E
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from sympy.functions.elementary.trigonometric import (cos, sin)
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from sympy.abc import x, y, z, t
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def test_epath_select():
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expr = [((x, 1, t), 2), ((3, y, 4), z)]
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assert epath("/*", expr) == [((x, 1, t), 2), ((3, y, 4), z)]
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assert epath("/*/*", expr) == [(x, 1, t), 2, (3, y, 4), z]
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assert epath("/*/*/*", expr) == [x, 1, t, 3, y, 4]
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assert epath("/*/*/*/*", expr) == []
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assert epath("/[:]", expr) == [((x, 1, t), 2), ((3, y, 4), z)]
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assert epath("/[:]/[:]", expr) == [(x, 1, t), 2, (3, y, 4), z]
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assert epath("/[:]/[:]/[:]", expr) == [x, 1, t, 3, y, 4]
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assert epath("/[:]/[:]/[:]/[:]", expr) == []
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assert epath("/*/[:]", expr) == [(x, 1, t), 2, (3, y, 4), z]
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assert epath("/*/[0]", expr) == [(x, 1, t), (3, y, 4)]
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assert epath("/*/[1]", expr) == [2, z]
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assert epath("/*/[2]", expr) == []
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assert epath("/*/int", expr) == [2]
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assert epath("/*/Symbol", expr) == [z]
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assert epath("/*/tuple", expr) == [(x, 1, t), (3, y, 4)]
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assert epath("/*/__iter__?", expr) == [(x, 1, t), (3, y, 4)]
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assert epath("/*/int|tuple", expr) == [(x, 1, t), 2, (3, y, 4)]
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assert epath("/*/Symbol|tuple", expr) == [(x, 1, t), (3, y, 4), z]
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assert epath("/*/int|Symbol|tuple", expr) == [(x, 1, t), 2, (3, y, 4), z]
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assert epath("/*/int|__iter__?", expr) == [(x, 1, t), 2, (3, y, 4)]
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assert epath("/*/Symbol|__iter__?", expr) == [(x, 1, t), (3, y, 4), z]
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assert epath(
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"/*/int|Symbol|__iter__?", expr) == [(x, 1, t), 2, (3, y, 4), z]
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assert epath("/*/[0]/int", expr) == [1, 3, 4]
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assert epath("/*/[0]/Symbol", expr) == [x, t, y]
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assert epath("/*/[0]/int[1:]", expr) == [1, 4]
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assert epath("/*/[0]/Symbol[1:]", expr) == [t, y]
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assert epath("/Symbol", x + y + z + 1) == [x, y, z]
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assert epath("/*/*/Symbol", t + sin(x + 1) + cos(x + y + E)) == [x, x, y]
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def test_epath_apply():
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expr = [((x, 1, t), 2), ((3, y, 4), z)]
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func = lambda expr: expr**2
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assert epath("/*", expr, list) == [[(x, 1, t), 2], [(3, y, 4), z]]
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assert epath("/*/[0]", expr, list) == [([x, 1, t], 2), ([3, y, 4], z)]
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assert epath("/*/[1]", expr, func) == [((x, 1, t), 4), ((3, y, 4), z**2)]
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assert epath("/*/[2]", expr, list) == expr
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assert epath("/*/[0]/int", expr, func) == [((x, 1, t), 2), ((9, y, 16), z)]
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assert epath("/*/[0]/Symbol", expr, func) == [((x**2, 1, t**2), 2),
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((3, y**2, 4), z)]
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assert epath(
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"/*/[0]/int[1:]", expr, func) == [((x, 1, t), 2), ((3, y, 16), z)]
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assert epath("/*/[0]/Symbol[1:]", expr, func) == [((x, 1, t**2),
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2), ((3, y**2, 4), z)]
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assert epath("/Symbol", x + y + z + 1, func) == x**2 + y**2 + z**2 + 1
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assert epath("/*/*/Symbol", t + sin(x + 1) + cos(x + y + E), func) == \
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t + sin(x**2 + 1) + cos(x**2 + y**2 + E)
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def test_EPath():
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assert EPath("/*/[0]")._path == "/*/[0]"
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assert EPath(EPath("/*/[0]"))._path == "/*/[0]"
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assert isinstance(epath("/*/[0]"), EPath) is True
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assert repr(EPath("/*/[0]")) == "EPath('/*/[0]')"
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raises(ValueError, lambda: EPath(""))
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raises(ValueError, lambda: EPath("/"))
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raises(ValueError, lambda: EPath("/|x"))
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raises(ValueError, lambda: EPath("/["))
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raises(ValueError, lambda: EPath("/[0]%"))
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raises(NotImplementedError, lambda: EPath("Symbol"))
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