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]