Parsing and storing formulas

From: Stefan Rosi (invalid_at_invalid.com)
Date: 10/28/04 

Date: Thu, 28 Oct 2004 16:56:48 +0200

I was wondering how I can parse a mathematical formula in a storable way.
For example I have two parameters like X and Y. And the user has to specify
a formula to calculate the result. Like 2(Y+2X). Then this formula has to
be stored for in the database. Each time the user visits a specific page,
the calculations have to be done according to his own formula.

Till now I have two ideas, the first one is to store the formula in just a
string and make the variable names identical to their representation columns
in the database. So I can just execute the query against the proper table
and SQL Server will parse the string and return the result. Anyway this
method has two drawbacks, first I can't use stored procedure anymore, and
second the mathematical operations can be very complex, which will be a
problem because sql server is not a mathematic program.

The second idea is to represent the formula as a tree. Each inner node
stands for an operation like multiplication, addition . etc. and the leaves
are either variables or constants: to clarify this idea I will attach a
diagram with this post. When I want to make the calculations I have just to
cal a function on the root, and it will call the same function on it
children and so on recursively. The tree will be serialized and saved as xml
in the database.

Anyway this tree will be hard to implement.

So I just wanted to ask if somebody knows a better way to do this task. I am
sure I am not the first person faced with this problem.

How can I parse and store an entered formula? Is there any ready component
to do it?

Any answer will be appreciated.

Stefan

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