def test_parser():
assert Abs(parse_maxima('float(1/3)') - 0.333333333) < 10**(-5)
assert parse_maxima('13^26') == 91733330193268616658399616009
assert parse_maxima('sin(%pi/2) + cos(%pi/3)') == Rational(3, 2)
assert parse_maxima('log(%e)') == 1
def test_maxima_functions():
assert parse_maxima('expand( (x+1)^2)') == x**2 + 2*x + 1
assert parse_maxima('factor( x**2 + 2*x + 1)') == (x + 1)**2
assert parse_maxima('2*cos(x)^2 + sin(x)^2') == 2*cos(x)**2 + sin(x)**2
assert parse_maxima('trigexpand(sin(2*x)+cos(2*x))') == \
-1 + 2*cos(x)**2 + 2*cos(x)*sin(x)
assert parse_maxima('solve(x^2-4,x)') == [-2, 2]
assert parse_maxima('limit((1+1/x)^x,x,inf)') == E
assert parse_maxima('limit(sqrt(-x)/x,x,0,minus)') == -oo
assert parse_maxima('diff(x^x, x)') == x**x*(1 + log(x))
assert parse_maxima('sum(k, k, 1, n)', name_dict=dict(
n=Symbol('n', integer=True),
k=Symbol('k', integer=True)
)) == (n**2 + n)/2
assert parse_maxima('product(k, k, 1, n)', name_dict=dict(
n=Symbol('n', integer=True),
k=Symbol('k', integer=True)
)) == factorial(n)
assert parse_maxima('ratsimp((x^2-1)/(x+1))') == x - 1
assert Abs( parse_maxima(
'float(sec(%pi/3) + csc(%pi/3))') - 3.154700538379252) < 10**(-5)
def test_injection():
parse_maxima('c: x+1', globals=globals())
assert c == x + 1
parse_maxima('g: sqrt(81)', globals=globals())
assert g == 9
def test_maxima_functions():
assert parse_maxima('expand( (x+1)^2)') == x**2 + 2*x + 1
assert parse_maxima('factor( x**2 + 2*x + 1)') == (x + 1)**2
assert parse_maxima('2*cos(x)^2 + sin(x)^2') == 2*cos(x)**2 + sin(x)**2
assert parse_maxima('trigexpand(sin(2*x)+cos(2*x))') == \
-1 + 2*cos(x)**2 + 2*cos(x)*sin(x)
assert parse_maxima('solve(x^2-4,x)') == [{x: -2}, {x: 2}]
assert parse_maxima('limit((1+1/x)^x,x,inf)') == E
assert parse_maxima('limit(sqrt(-x)/x,x,0,minus)') == -oo
assert parse_maxima('diff(x^x, x)') == x**x*(1 + log(x))
assert parse_maxima('sum(k, k, 1, n)',
name_dict={'k': Symbol('k', integer=True),
'n': n}) == (n**2 + n)/2
assert parse_maxima('product(k, k, 1, n)',
name_dict={'k': Symbol('k', integer=True),
'n': n}) == factorial(n)
assert parse_maxima('ratsimp((x^2-1)/(x+1))') == x - 1
assert Abs( parse_maxima(
'float(sec(%pi/3) + csc(%pi/3))') - 3.154700538379252) < 10**(-5)
def test_injection():
parse_maxima('c: x+1', globals=globals())
assert c == x + 1
parse_maxima('g: sqrt(81)', globals=globals())
assert g == 9
def test_parser():
assert Abs(parse_maxima('float(1/3)') - 0.333333333) < 10**(-5)
assert parse_maxima('13^26') == 91733330193268616658399616009
assert parse_maxima('sin(%pi/2) + cos(%pi/3)') == Rational(3, 2)
assert parse_maxima('log(%e)') == 1