def test_injection():
parse_maxima('c: x+1', globals=globals())
# c created by parse_maxima
assert c == x + 1
parse_maxima('g: sqrt(81)', globals=globals())
# g created by parse_maxima
assert g == 9
def test_injection():
parse_maxima("c: x+1", globals=globals())
# c created by parse_maxima
assert c == x + 1 # noqa:F821
parse_maxima("g: sqrt(81)", globals=globals())
# g created by parse_maxima
assert g == 9 # noqa:F821
def __init__(self, exprStringOrObj, exprStringType="sympy"):
'''Initializes the object using string in a specific format or from an object'''
self.properties = {}
self.inRelation = {}
self.outRelation = {}
#jugaad for function overloading
if type(exprStringOrObj) is str:
flag = False
try:
if exprStringType == 'sympy':
self.symObj = parse_expr(exprStringOrObj)
#Note: Can use transformations as given in http://docs.sympy.org/dev/modules/parsing.html to improve the generality of possible expressions
elif exprStringType == 'mathematica':
self.symObj = mathematica(exprStringOrObj)
elif exprStringType == 'maxima':
self.symObj = parse_maxima(exprStringOrObj)
else:
flag = true
except:
raise Exception("Error in parsing \'"+exprStringType+"\' code: \'"+exprStringOrObj+"\'")
if flag:
raise Exception("Currently parsing strings of type \'"+exprStringType+"\' has not been implemented for the symPy backend. Please use \'sympy\', \'mathematica\' or \'maxima\' syntax")
else: #it is a sympy object directly
self.symObj = exprStringOrObj
def plot(function_str, filename, x_min, x_max, y_min, y_max):
expr = parse_maxima(function_str)
config.output_file = path + filename
config.frame_rate = 25
config.pixel_width = 1280
config.pixel_height = 720
scene = FunctionPlot(expr=expr,
x_min=x_min,
x_max=x_max,
y_min=y_min,
y_max=y_max)
scene.render()
return filename
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_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('trigsimp(2*cos(x)^2 + sin(x)^2)') == 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)") == [-2, 2]
assert parse_maxima("limit((1+1/x)^x,x,inf)") == E
assert parse_maxima("limit(sqrt(-x)/x,x,0,minus)") is -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_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("trigsimp(2*cos(x)^2 + sin(x)^2)") == 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
