Simulation: Complex Parser Completion

So I have successfully finished the Complex Parser.  I was able to successfully separate the operators in a particular order.  So now if you have a string with complex math you can turn it into a complex class number.  There isn't much to say about this part of the project now that it's complete.  I still need to do further testing to confirm all the numbers, but as of now it works like a charm.

I will say that the code seems a little inefficient and longer than necessary.  Hopefully in the future I can be more efficient in the way it works.

Hopefully, I can get back to more stimulating posts later, teaching you guys somethings.  Feel free to leave comments and check out the old posts for more information to learn...

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Justin Coulston
justin.coulston@gmail.com

Simulation: Complex Math Parser

Introduction
In my project to build a SPICE program, I ran across a problem; I need to be able to perform complex math from strings.  This has already been done a thousand times before but finding a free, good parser isn't easy.  So I decided to do this myself.  This article will explain briefly the process I'm using to parse a complex math string.

Basic Process

1. First check the string for incorrect characters.  This can be done while performing step 2
2. Define every character in the string as a type (ie. 0=operator, 1=real number, 2=imaginary number, 3=left parenthesis, 4=right parenthesis).  Define this into a separate string.  The reason you do this is to take in different number types (real, imaginary, scientific notation, etc.)
3. Next separate the string into tokens to be evaluated separately.  The most open parenthesis should be it's own token. (ie. str = "2*2j+(20+2j)^12" will turn into tokens "@1*@2+@3^@4") This is only an example.  I doubt i'll have a string like this.
4. Evaluate each token by recursion through the same function until it outputs a complex number. (a custom class)
5. With a complex number for the tokens you can then evaluate in precedent order of functions.
6. Output complex number 

That's the quick and easy of it.  I have only completed steps 1 and 2 so far.  The rest will hopefully be completed in the week.  Hope this is helpful...