def test_as_ordered_terms():
f, g = symbols("f,g", cls=Function)
assert x.as_ordered_terms() == [x]
assert (sin(x) ** 2 * cos(x) + sin(x) * cos(x) ** 2 + 1).as_ordered_terms() == [
sin(x) ** 2 * cos(x),
sin(x) * cos(x) ** 2,
1,
]
args = [f(1), f(2), f(3), f(1, 2, 3), g(1), g(2), g(3), g(1, 2, 3)]
expr = Add(*args)
assert expr.as_ordered_terms() == args
assert (1 + 4 * sqrt(3) * pi * x).as_ordered_terms() == [4 * pi * x * sqrt(3), 1]
assert (2 + 3 * I).as_ordered_terms() == [2, 3 * I]
assert (-2 + 3 * I).as_ordered_terms() == [-2, 3 * I]
assert (2 - 3 * I).as_ordered_terms() == [2, -3 * I]
assert (-2 - 3 * I).as_ordered_terms() == [-2, -3 * I]
assert (4 + 3 * I).as_ordered_terms() == [4, 3 * I]
assert (-4 + 3 * I).as_ordered_terms() == [-4, 3 * I]
assert (4 - 3 * I).as_ordered_terms() == [4, -3 * I]
assert (-4 - 3 * I).as_ordered_terms() == [-4, -3 * I]
f = x ** 2 * y ** 2 + x * y ** 4 + y + 2
assert f.as_ordered_terms(order="lex") == [x ** 2 * y ** 2, x * y ** 4, y, 2]
assert f.as_ordered_terms(order="grlex") == [x * y ** 4, x ** 2 * y ** 2, y, 2]
assert f.as_ordered_terms(order="rev-lex") == [2, y, x * y ** 4, x ** 2 * y ** 2]
assert f.as_ordered_terms(order="rev-grlex") == [2, y, x ** 2 * y ** 2, x * y ** 4]
def test_as_ordered_terms():
f, g = symbols('f,g', cls=Function)
assert x.as_ordered_terms() == [x]
assert (sin(x)**2*cos(x) + sin(x)*cos(x)**2 + 1).as_ordered_terms() \
== [sin(x)**2*cos(x), sin(x)*cos(x)**2, 1]
args = [f(1), f(2), f(3), f(1, 2, 3), g(1), g(2), g(3), g(1, 2, 3)]
expr = Add(*args)
assert expr.as_ordered_terms() == args
assert (1 + 4 * sqrt(3) * pi * x).as_ordered_terms() == [
4 * pi * x * sqrt(3), 1
]
assert (2 + 3 * I).as_ordered_terms() == [2, 3 * I]
assert (-2 + 3 * I).as_ordered_terms() == [-2, 3 * I]
assert (2 - 3 * I).as_ordered_terms() == [2, -3 * I]
assert (-2 - 3 * I).as_ordered_terms() == [-2, -3 * I]
assert (4 + 3 * I).as_ordered_terms() == [4, 3 * I]
assert (-4 + 3 * I).as_ordered_terms() == [-4, 3 * I]
assert (4 - 3 * I).as_ordered_terms() == [4, -3 * I]
assert (-4 - 3 * I).as_ordered_terms() == [-4, -3 * I]
f = x**2 * y**2 + x * y**4 + y + 2
assert f.as_ordered_terms(order="lex") == [x**2 * y**2, x * y**4, y, 2]
assert f.as_ordered_terms(order="grlex") == [x * y**4, x**2 * y**2, y, 2]
assert f.as_ordered_terms(order="rev-lex") == [2, y, x * y**4, x**2 * y**2]
assert f.as_ordered_terms(order="rev-grlex") == [
2, y, x**2 * y**2, x * y**4
]
def test_as_ordered_terms():
f, g = symbols('f,g', cls=Function)
assert x.as_ordered_terms() == [x]
assert (sin(x)**2 * cos(x) + sin(x) * cos(x)**2 +
1).as_ordered_terms() == [
sin(x)**2 * cos(x), sin(x) * cos(x)**2, 1
]
args = [f(1), f(2), f(3), f(1, 2, 3), g(1), g(2), g(3), g(1, 2, 3)]
expr = Add(*args)
assert expr.as_ordered_terms() == args
assert (1 + 4 * sqrt(3) * pi * x).as_ordered_terms() == [
4 * pi * x * sqrt(3), 1
]
assert (2 + 3 * I).as_ordered_terms() == [2, 3 * I]
assert (-2 + 3 * I).as_ordered_terms() == [-2, 3 * I]
assert (2 - 3 * I).as_ordered_terms() == [2, -3 * I]
assert (-2 - 3 * I).as_ordered_terms() == [-2, -3 * I]
assert (4 + 3 * I).as_ordered_terms() == [4, 3 * I]
assert (-4 + 3 * I).as_ordered_terms() == [-4, 3 * I]
assert (4 - 3 * I).as_ordered_terms() == [4, -3 * I]
assert (-4 - 3 * I).as_ordered_terms() == [-4, -3 * I]
def test_as_ordered_terms():
f, g = symbols('f,g', cls=Function)
assert x.as_ordered_terms() == [x]
assert (sin(x)**2*cos(x) + sin(x)*cos(x)**2 + 1).as_ordered_terms() == [sin(x)**2*cos(x), sin(x)*cos(x)**2, 1]
expr = Add(*[f(1), f(2), f(3), f(1, 2, 3), g(1), g(2), g(3), g(1, 2, 3)])
assert expr.as_ordered_terms() == \
[f(1), f(2), f(3), f(1, 2, 3), g(1), g(2), g(3), g(1, 2, 3)]
assert (1 + 4*sqrt(3)*pi*x).as_ordered_terms() == [4*pi*x*sqrt(3), 1]
def test_as_ordered_terms():
f, g = symbols('f,g', cls=Function)
assert x.as_ordered_terms() == [x]
assert (sin(x)**2 * cos(x) + sin(x) * cos(x)**2 +
1).as_ordered_terms() == [
sin(x)**2 * cos(x), sin(x) * cos(x)**2, 1
]
expr = Add(*[f(1), f(2), f(3), f(1, 2, 3), g(1), g(2), g(3), g(1, 2, 3)])
assert expr.as_ordered_terms() == \
[f(1), f(2), f(3), f(1, 2, 3), g(1), g(2), g(3), g(1, 2, 3)]
assert (1 + 4 * sqrt(3) * pi * x).as_ordered_terms() == [
4 * pi * x * sqrt(3), 1
]
def test_as_ordered_terms():
f, g = symbols('f,g', cls=Function)
assert x.as_ordered_terms() == [x]
assert (sin(x)**2*cos(x) + sin(x)*cos(x)**2 + 1).as_ordered_terms() == [sin(x)**2*cos(x), sin(x)*cos(x)**2, 1]
args = [f(1), f(2), f(3), f(1, 2, 3), g(1), g(2), g(3), g(1, 2, 3)]
expr = Add(*args)
assert expr.as_ordered_terms() == args
assert (1 + 4*sqrt(3)*pi*x).as_ordered_terms() == [4*pi*x*sqrt(3), 1]
assert ( 2 + 3*I).as_ordered_terms() == [ 2, 3*I]
assert (-2 + 3*I).as_ordered_terms() == [-2, 3*I]
assert ( 2 - 3*I).as_ordered_terms() == [ 2, -3*I]
assert (-2 - 3*I).as_ordered_terms() == [-2, -3*I]
assert ( 4 + 3*I).as_ordered_terms() == [ 4, 3*I]
assert (-4 + 3*I).as_ordered_terms() == [-4, 3*I]
assert ( 4 - 3*I).as_ordered_terms() == [ 4, -3*I]
assert (-4 - 3*I).as_ordered_terms() == [-4, -3*I]