def is_valid_math_expression(obj: str, algebraic: bool) -> bool:
"""Checks if the given obj (a string) represents a valid algebraic or
numeric expression. Note that purely-numeric expressions are NOT
considered valid algebraic expressions.
Args:
obj: str. The given math expression string.
algebraic: bool. True if the given expression is algebraic
else numeric.
Returns:
bool. Whether the given object is a valid expression.
"""
if len(obj) == 0:
return True
if not expression_parser.is_valid_expression(
obj): # type: ignore[no-untyped-call]
return False
expression_is_algebraic = expression_parser.is_algebraic(
obj) # type: ignore[no-untyped-call]
# If the algebraic flag is true, expression_is_algebraic should
# also be true, otherwise both should be false which would imply
# that the expression is numeric.
return not algebraic ^ expression_is_algebraic
def is_valid_math_expression(obj: str, algebraic: bool) -> bool:
"""Checks if the given obj (a string) represents a valid algebraic or
numeric expression. Note that purely-numeric expressions are NOT
considered valid algebraic expressions.
Args:
obj: str. The given math expression string.
algebraic: bool. True if the given expression is algebraic
else numeric.
Returns:
bool. Whether the given object is a valid expression.
"""
if len(obj) == 0:
return True
if not expression_parser.is_valid_expression(
obj): # type: ignore[no-untyped-call]
return False
expression_contains_at_least_one_variable = (
expression_parser.contains_at_least_one_variable(obj)
) # type: ignore[no-untyped-call]
# This ensures that numeric expressions don't contain variables.
return algebraic or not expression_contains_at_least_one_variable
def test_validates_math_expression(self):
"""Tests whether the parser can validate math expressions."""
self.assertTrue(expression_parser.is_valid_expression('a+b'))
self.assertTrue(expression_parser.is_valid_expression('a+(-b)'))
self.assertTrue(expression_parser.is_valid_expression('-a+b'))
self.assertTrue(expression_parser.is_valid_expression('a+b^(-2)'))
self.assertTrue(expression_parser.is_valid_expression('a+b/2.3'))
self.assertTrue(expression_parser.is_valid_expression('ab/2'))
self.assertTrue(expression_parser.is_valid_expression('a(b+c)'))
self.assertTrue(expression_parser.is_valid_expression('2x + 3/2'))
self.assertTrue(expression_parser.is_valid_expression('alpha + bet/2'))
self.assertTrue(expression_parser.is_valid_expression('Alpha/2'))
self.assertTrue(expression_parser.is_valid_expression(
'42 - [5/a] (4)'))
self.assertTrue(expression_parser.is_valid_expression(
'a + sqrt(beta/gamma)'))
self.assertTrue(expression_parser.is_valid_expression(
'cos(theta/2^epsilon)'))
self.assertTrue(expression_parser.is_valid_expression('a+{-b/22}'))
self.assertTrue(expression_parser.is_valid_expression('abs(a^2 + b^2)'))
self.assertTrue(expression_parser.is_valid_expression(
'sin(theta)^2 + cos(theta)^2'))
self.assertTrue(expression_parser.is_valid_expression('(2*pi*r^2)/2'))
self.assertTrue(expression_parser.is_valid_expression('1 + (2*a)'))
self.assertTrue(expression_parser.is_valid_expression('(a+ b) '))
self.assertTrue(expression_parser.is_valid_expression(
'{a+(beta - gamma)}'))
self.assertTrue(expression_parser.is_valid_expression(
'(a) / ((b)/(c))'))
self.assertTrue(expression_parser.is_valid_expression(
'{a+(b-[c])-(beta^4)}'))
self.assertTrue(expression_parser.is_valid_expression('alpha + (-3)'))
self.assertTrue(expression_parser.is_valid_expression(
'alpha^(3.9/beta*gamma)'))
self.assertTrue(expression_parser.is_valid_expression(
'{a-(-3)/(2-(-b)^4)}^2'))
self.assertTrue(expression_parser.is_valid_expression(
'a+(-3)/alpha + gamma^2'))
self.assertTrue(expression_parser.is_valid_expression('(x+y) * (x-y)'))
self.assertTrue(expression_parser.is_valid_expression(
'(a+ b)^2 - (c+d) ^ 3'))
self.assertTrue(expression_parser.is_valid_expression('3+2'))
self.assertTrue(expression_parser.is_valid_expression('---+34'))
self.assertTrue(expression_parser.is_valid_expression('---(3/+4)'))
self.assertTrue(expression_parser.is_valid_expression('3+2^3'))
self.assertTrue(expression_parser.is_valid_expression('(5-2^[6+3])'))
self.assertTrue(expression_parser.is_valid_expression('(-5)^(-1)/2'))
self.assertTrue(expression_parser.is_valid_expression(
'2*10^3 + 3*10^2'))
self.assertTrue(expression_parser.is_valid_expression(
'{55 - 2/(-3)^100 + [5-4]}'))
self.assertTrue(expression_parser.is_valid_expression('(3^2) - (4^2)'))
self.assertTrue(expression_parser.is_valid_expression(
'(1+2+3)/(1-2-3)'))
self.assertTrue(expression_parser.is_valid_expression(
'24.6 + 3^(-1/2)'))
self.assertTrue(expression_parser.is_valid_expression('1^1^1^1^1^1^1'))
self.assertTrue(expression_parser.is_valid_expression(
'1000 + 200 + 30 + 4'))
self.assertTrue(expression_parser.is_valid_expression('(1.01)^39'))
self.assertTrue(expression_parser.is_valid_expression('506/(2-3)^(-3)'))
self.assertTrue(expression_parser.is_valid_expression('sqrt(-1)'))
self.assertTrue(expression_parser.is_valid_expression(
'sqrt(-abs(-1))^2/abs(5)'))
self.assertFalse(expression_parser.is_valid_expression('a+b/'))
self.assertFalse(expression_parser.is_valid_expression('|x|'))
self.assertFalse(expression_parser.is_valid_expression('||'))
self.assertFalse(expression_parser.is_valid_expression('|x+y|-z'))
self.assertFalse(expression_parser.is_valid_expression('a^2.'))
self.assertFalse(expression_parser.is_valid_expression('(352+)-3*x'))
self.assertFalse(expression_parser.is_valid_expression('(a-2^34-)'))
self.assertFalse(expression_parser.is_valid_expression(
'(25 + 3.4.3*a)'))
self.assertFalse(expression_parser.is_valid_expression('sqrt(abs)'))
self.assertFalse(expression_parser.is_valid_expression(
'alpha + bet/2.3.4'))
self.assertFalse(expression_parser.is_valid_expression('a_b'))
self.assertFalse(expression_parser.is_valid_expression('!/'))
self.assertFalse(expression_parser.is_valid_expression('a~b'))
self.assertFalse(expression_parser.is_valid_expression('a*b)'))
self.assertFalse(expression_parser.is_valid_expression('(a}+{b)'))
self.assertFalse(expression_parser.is_valid_expression('{a+b)(c}'))
self.assertFalse(expression_parser.is_valid_expression('a**b'))
self.assertFalse(expression_parser.is_valid_expression('(a)^/(b)'))
self.assertFalse(expression_parser.is_valid_expression('a+/3'))
self.assertFalse(expression_parser.is_valid_expression('a=b'))
self.assertFalse(expression_parser.is_valid_expression('a<b'))
self.assertFalse(expression_parser.is_valid_expression('a>b'))
self.assertFalse(expression_parser.is_valid_expression('a<=b'))
self.assertFalse(expression_parser.is_valid_expression('a>=b'))
self.assertFalse(expression_parser.is_valid_expression('3+2/*a'))
self.assertFalse(expression_parser.is_valid_expression('192.168.1 + 3'))
self.assertFalse(expression_parser.is_valid_expression('{1 - 2 (/3}'))
self.assertFalse(expression_parser.is_valid_expression('[5^(3-2])'))
self.assertFalse(expression_parser.is_valid_expression(
'55.02//3.5-(-a)'))
self.assertFalse(expression_parser.is_valid_expression(
'alpha + beta-^1'))
self.assertFalse(expression_parser.is_valid_expression('(3+2]'))
self.assertFalse(expression_parser.is_valid_expression('3!2'))
self.assertFalse(expression_parser.is_valid_expression('3~2'))
self.assertFalse(expression_parser.is_valid_expression('3-/2'))
self.assertFalse(expression_parser.is_valid_expression('3-5=(-2)'))
self.assertFalse(expression_parser.is_valid_expression('3 > 2'))
