How to do matrix operation programatically in lisp

Hello,

thanks for your infos how to run maxima under lisp :)

On 23.11.2007 04:45, Kun Lin wrote:
>  Now, i have downloaded maxima's source code and loaded maxima-build.lisp
> and then do (maxima-load) in sbcl.  I can run maxima from the lisp 
> environment by
> doing (cl-user::run).   So this mean i should have all the functions 
> available to me in maxima in lisp. 
> 
> Is there way for me to get the equivalent  result of matrix([1 2]) by 
> doing something like
> (setf result (function args))?
> 

> Is there a general way of doing something like this.  Meaning is there a 
> calling convention i can follow if i know the maxima input form i can 
> deduce its equivalent lisp function call and arguments.
I think the answers are in chapter 3.2 of the online help (i read the
info files):
"Lisp and Maxima symbols are distinguished by a naming convention.  A
Lisp symbol which begins with a dollar sign `$' corresponds to a Maxima
 symbol without the dollar sign.  A Maxima symbol which begins with a
question mark `?' corresponds to a Lisp symbol without the question mark.
[...]
Lisp code may be executed from within a Maxima session.  A single
line of Lisp (containing one or more forms) may be executed by the
special command `:lisp'. For example,
     (%i1) :lisp (foo $x $y)
[...]
 The `#$' Lisp macro allows the use of Maxima expressions in Lisp
code.  `#$<expr>$' expands to a Lisp expression equivalent to the
Maxima expression <expr>.

     (msetq $foo #$[x, y]$)

This has the same effect as entering

     (%i1) foo: [x, y];"


You can also translate() your maxima-code to see the equivalent lisp
code (& function calls).

> My ultimate goal is to use maxima as the backbone of all my 
> mathematical  computing needs (symbolic, matrices ...) in writing lisp 
> programs.  Can maxima do this?   Another idea is maybe my lisp code can 
> call a .mac file.  I am just not sure what would be the best approach.

This is the same i would like to do, too ;)


HTH
Robert