# Tag: recursion

## Recursive Descent Parser for arithmetic expressions with real numbers

In previous post we were building Recursive Descent Parser for Boolean expressions and in the post before that we were parsing simple arithmetic expressions (with only addition and subtraction). In this third, final post we will build more real world example – we will parse arithmetic expressions that include (besides addition and subtraction) multiplication and division. Note here that we also have to respect the priority of operations (multiplication and division are done before addition and subtraction) so our parser has to be “smart” enough to handle that. And just to make it more fun, this time we will also…

## Recursive Descent Parser with C# – Boolean logic expressions

In previous post we gave brief introduction on Recursive Descent Parsers and we implemented parser that was able to parse and calculate simple arithmetic expressions with addition and subtraction. To be (True) or !(To be True)? This time we will try to tackle little bit more complex example that will parse and evaluate Boolean logic expressions that will include negation and parenthesis. Examples of expressions we want to be able to parse and evaluate are: True And True And False True !False (!(False)) and (!(True) etc Let’s assemble a EBNF grammar for this type of expressions: Expression      := [ "!" ] <Boolean> { BooleanOperator Boolean } Boolean         := BooleanConstant | Expression | "(" <Expression> ")" BooleanOperator := "And" | "Or"  BooleanConstant := "True" | "False" You…

## Introduction to Recursive Descent Parsers with C#

Parser? Aren’t parsers utterly boring? Well no, quite the opposite. Lately i have been solving some of the programming challenges on talentbuddy and bumped into task to create parser and solver for simple arithmetic expressions in string format, something like this: “(2+2)-(3-(6-5))-4”. On first thought this seems trivial, but only until the moment you start implementing it. If you are doing it the wrong way, for example by using regular expressions, you can bump into some interesting problems, and also develop a solution that works for most cases but then fails on edge cases etc. The proper way Fortunately there are…