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Execute Arbitrary Math Formulas

Author
19 Jun 2006 3:38 PM
rob
I have the following scenario. A user requests some math calculations
from a server. The data and a library of basic formulas reside on the
server. Now the user should be able to create more complex formulas
based on the basic built in formulas as well as other complex formulas
that the user created himself. These formulas will be either stored on
the server or client and will be applied to the data on the server.
Some of the formulas will be used only once (if they don't work as
expected) wheras others might get used on a frequent basis. What is the
best way to approach this problem?

Thanks

Author
19 Jun 2006 4:06 PM
Unconnected
Don't know if this of any use.

http://www.codeguru.com/csharp/csharp/cs_misc/mathematics/article.php/c4245/


rob wrote:
Show quote
> I have the following scenario. A user requests some math calculations
> from a server. The data and a library of basic formulas reside on the
> server. Now the user should be able to create more complex formulas
> based on the basic built in formulas as well as other complex formulas
> that the user created himself. These formulas will be either stored on
> the server or client and will be applied to the data on the server.
> Some of the formulas will be used only once (if they don't work as
> expected) wheras others might get used on a frequent basis. What is the
> best way to approach this problem?
>
> Thanks
Author
19 Jun 2006 5:39 PM
Ignacio Machin ( .NET/ C# MVP )
Hi,

Depends, where the logic for evaluate the formulas reside? if you are going
to allow arbitrary formulas you need a formula evaluator. Depending of the
framework you are using you can evaluate them in the server or in the
client.

IMO you should provide more details about your environment.

--
--
Ignacio Machin,
ignacio.machin AT dot.state.fl.us
Florida Department Of Transportation



Show quote
"rob" <rmdiv2***@yahoo.com> wrote in message
news:1150731525.879284.305110@i40g2000cwc.googlegroups.com...
>I have the following scenario. A user requests some math calculations
> from a server. The data and a library of basic formulas reside on the
> server. Now the user should be able to create more complex formulas
> based on the basic built in formulas as well as other complex formulas
> that the user created himself. These formulas will be either stored on
> the server or client and will be applied to the data on the server.
> Some of the formulas will be used only once (if they don't work as
> expected) wheras others might get used on a frequent basis. What is the
> best way to approach this problem?
>
> Thanks
>
Author
19 Jun 2006 6:40 PM
Volker Hetzer
rob schrieb:
> I have the following scenario. A user requests some math calculations
> from a server. The data and a library of basic formulas reside on the
> server. Now the user should be able to create more complex formulas
> based on the basic built in formulas as well as other complex formulas
> that the user created himself. These formulas will be either stored on
> the server or client and will be applied to the data on the server.
> Some of the formulas will be used only once (if they don't work as
> expected) wheras others might get used on a frequent basis. What is the
> best way to approach this problem?
Write a parser. Dunno if yacc/lex are available for visual studio. If not,
get a book about compiler construction and do a recursive parser.

Lots of Greetings!
Volker
--
For email replies, please substitute the obvious.
Author
19 Jun 2006 7:31 PM
Brian Gideon
ANTLR <http://www.antlr.org/> is compiler compiler that generates C#
code.

Volker Hetzer wrote:
Show quote
> Write a parser. Dunno if yacc/lex are available for visual studio. If not,
> get a book about compiler construction and do a recursive parser.
>
> Lots of Greetings!
> Volker
> --
> For email replies, please substitute the obvious.
Author
20 Jun 2006 2:27 PM
rob
What is your opinion about on-the-fly/runtime compiling as another
solution and how would this be approched.

Thanks
Author
20 Jun 2006 2:49 PM
Brian Gideon
Rob,

If your talking about using reflection then that would definitely be
the easiest.  However, the security vulnerability you open up could be
huge.  The compiler compiler option is probably the best overall, but
there is a huge learning curve.  And of course you could always whip up
your own evaluator.  Writing your own isn't terribly difficult.  It
consists of 3 basic steps:  First, tokenize the input string.  Then
perform an infix to postfix conversion.  That gets rid of paranthesis
and cumbersome operator precedence rules.  Finally, evaluate by popping
operands of a stack and pushing the result until all operators are
consumed.

Brian

rob wrote:
Show quote
> What is your opinion about on-the-fly/runtime compiling as another
> solution and how would this be approched.
>
> Thanks
Author
20 Jun 2006 2:58 PM
Volker Hetzer
rob schrieb:
> What is your opinion about on-the-fly/runtime compiling as another
> solution and how would this be approched.
There is no "eval" statement there, probably for security reasons.
Also, the JIT compiler expects some IL code as far as I know, not source
code.
You *could* create a little C# program and compile it. Requires Visual
studio on the server (eurgh!!!) Won't work for more than very infrequent
use and creates a huge workload on the server.

You could install perl or tcl on the server. They *do* have
an eval statement. Write a small server that listens on a port,
gets the expression string, evaluates it and returns the result.

But really, an expression parser isn't that hard to do. A simple one
was a (very small) part of my diploma thesis and every CS student
does several during the course of his studies.

Lots of Greetings!
Volker
--
For email replies, please substitute the obvious.
Author
20 Jun 2006 11:54 PM
rob
Volker Hetzer wrote:
Show quote
> rob schrieb:
> > What is your opinion about on-the-fly/runtime compiling as another
> > solution and how would this be approched.
> There is no "eval" statement there, probably for security reasons.
> Also, the JIT compiler expects some IL code as far as I know, not source
> code.
> You *could* create a little C# program and compile it. Requires Visual
> studio on the server (eurgh!!!) Won't work for more than very infrequent
> use and creates a huge workload on the server.
>
> You could install perl or tcl on the server. They *do* have
> an eval statement. Write a small server that listens on a port,
> gets the expression string, evaluates it and returns the result.
>
> But really, an expression parser isn't that hard to do. A simple one
> was a (very small) part of my diploma thesis and every CS student
> does several during the course of his studies.
>
> Lots of Greetings!
> Volker
> --
> For email replies, please substitute the obvious.

Unfortunatelly (for this particular problem) I have no CS degree
(though one from a different field). Well, I guess I'll have to learn
how to write a parser then. I just wonder if a parser isn't quite
inefficient. I need to repeate the calculation on hundreds of data
points. The first two steps of the parser probably would have to be
done only once but the last step seems still quite costly. But it seems
short of doing compilation at run time there isn't much else that can
be done.
Author
21 Jun 2006 8:43 AM
Fred Mellender
You can get a good start on your parser, in C# V2, by consulting
http://www.frontiernet.net/~fredm/dps/Contents.htm , Chapter 3.  The sample
parser will parse simple arithmetic expressions and can be expanded fairly
easily.  You will have to write a lexical analyzer, but this is easily done
by using Regex.

Show quote
"rob" <rmdiv2***@yahoo.com> wrote in message
news:1150847655.976936.89010@i40g2000cwc.googlegroups.com...
>
> Volker Hetzer wrote:
>> rob schrieb:
>> > What is your opinion about on-the-fly/runtime compiling as another
>> > solution and how would this be approched.
>> There is no "eval" statement there, probably for security reasons.
>> Also, the JIT compiler expects some IL code as far as I know, not source
>> code.
>> You *could* create a little C# program and compile it. Requires Visual
>> studio on the server (eurgh!!!) Won't work for more than very infrequent
>> use and creates a huge workload on the server.
>>
>> You could install perl or tcl on the server. They *do* have
>> an eval statement. Write a small server that listens on a port,
>> gets the expression string, evaluates it and returns the result.
>>
>> But really, an expression parser isn't that hard to do. A simple one
>> was a (very small) part of my diploma thesis and every CS student
>> does several during the course of his studies.
>>
>> Lots of Greetings!
>> Volker
>> --
>> For email replies, please substitute the obvious.
>
> Unfortunatelly (for this particular problem) I have no CS degree
> (though one from a different field). Well, I guess I'll have to learn
> how to write a parser then. I just wonder if a parser isn't quite
> inefficient. I need to repeate the calculation on hundreds of data
> points. The first two steps of the parser probably would have to be
> done only once but the last step seems still quite costly. But it seems
> short of doing compilation at run time there isn't much else that can
> be done.
>
Author
19 Jun 2006 6:52 PM
Ben Voigt
"rob" <rmdiv2***@yahoo.com> wrote in message
news:1150731525.879284.305110@i40g2000cwc.googlegroups.com...
>I have the following scenario. A user requests some math calculations
> from a server. The data and a library of basic formulas reside on the
> server. Now the user should be able to create more complex formulas
> based on the basic built in formulas as well as other complex formulas
> that the user created himself. These formulas will be either stored on
> the server or client and will be applied to the data on the server.
> Some of the formulas will be used only once (if they don't work as
> expected) wheras others might get used on a frequent basis. What is the
> best way to approach this problem?

Sounds like SQL server for the data, predefined formulas as stored
procedures written in .NET, and user formulas as queries, possibly with
Javascript.NET postprocessing.  This would permit compiling the queries for
repeated use.

Show quote
>
> Thanks
>
Author
19 Jun 2006 10:20 PM
Tim Van Wassenhove
["Followup-To:" header set to microsoft.public.dotnet.framework.]
On 2006-06-19, rob <rmdiv2***@yahoo.com> wrote:
> I have the following scenario. A user requests some math calculations
> from a server. The data and a library of basic formulas reside on the
> server. Now the user should be able to create more complex formulas
> based on the basic built in formulas as well as other complex formulas
> that the user created himself. These formulas will be either stored on
> the server or client and will be applied to the data on the server.
> Some of the formulas will be used only once (if they don't work as
> expected) wheras others might get used on a frequent basis. What is the
> best way to approach this problem?

As already mentionned, store the 'command string' and evaluate it..
http://en.wikipedia.org/wiki/Reverse_polish_notation can be a good
start...

--
Met vriendelijke groeten,
Tim Van Wassenhove <http://timvw.madoka.be>

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