In the first part of article I presented the parser for conversion a traditional algebraic expression to the RPN representation. In this part, I will show you, how to implement the algorithm for calculating the RPN expression and the architecture to extending abilities of the parser to support custom functions.

Mathematical expressions in the traditional algebraic notation can be calculated using an algorithm RPN (Reverse Polish Notation). In the first part of this article, I will show you how to implement a parser that converts the traditional algebraic form of mathematical expression to the RPN notation. In the second part of article, I will implement an algorithm for calculating the RPN expression and the architecture which allows for easy extend the the parser to support mathematical custom functions.