you are invited to implement your language's methods and syntax for ANTLR grammar

The methods of operations to be implemented are at least the following:

$$ Addition

$$ Subtraction

$$ Proliferation

$$ Division

$$ Power

$$ Sine

$$ Cosine

$$ Tangent

$$ Cotangent

$$ mod

$$ NOT

$$ AND

$$ OR

$$ XOR

$$ NAND

$$ Logarithm

$$ Factorial

$$ Pi

$$ Root

$$ e