Maxima - Common Lisp version of MACSYMA symbolic mathematics
package released under the GNU Public License
rmaxima - A version of Maxima that supports command
autocompletion
Xmaxima - A graphical version of Maxima
maxima [options]
rmaxima [options]
xmaxima [options]
Maxima is a version of the MIT-developed MACSYMA system, modified
to run under Common Lisp. It is an interactive expert system and programming
environment for symbolic and numerical mathematical manipulation. Written in
Lisp, it allows differentiation, integration, solution of linear or
polynomial equations, factoring of polynomials, expansion of functions in
Laurent or Taylor series, computation of Poisson series, matrix and tensor
manipulations, and two- and three-dimensional graphics. Procedures may be
written using an ALGOL-like syntax, and both Lisp-like functions and pattern
matching facilities are provided. Files containing Maxima objects may be
read from and written to disk files. Pre-written Maxima commands may be read
from a file and executed, allowing batch-mode use.
- -b file,
--batch=file
- Process file in noninteractive mode.
- --batch-lisp=file
- Process Lisp file file in noninteractive mode.
- --batch-string=string
- Process string in noninteractive mode.
- -d,
--directories
- Display Maxima directory information.
- --disable-readline
- Disable readline support.
- -g,
--enable-lisp-debugger
- Enable Lisp debugger.
- -h, --help
- Display a brief usage summary.
- --init=string
- Load the Maxima and Lisp initialization files string.mac and
string.lisp at startup.
- --init-mac=file
- Load the Maxima initialization file file at startup.
- --init-lisp=file
- Load the Lisp initialization file file at startup.
- -l lisp,
--lisp=lisp
- Use Lisp implementation lisp. Use --list-avail to see the
list of possible values.
- --list-avail
- List the available Lisp and Maxima versions.
- -p lisp_file,
--preload-lisp=lisp_file
- Preload lisp_file.
- -q, --quiet
- Suppress Maxima start-up message.
- -r string,
--run-string=string
- Process string in interactive mode.
- -s port,
--server=port
- Connect Maxima to server on port. Note that this does not create a
Maxima server; Maxima is the client.
- -u version,
--use-version=version
- Launch Maxima version version. Use --list-avail to see the
list of possible values.
- --userdir=directory
- Use directory for user directory (default is %USERPROFILE%/maxima
for Windows, $HOME/.maxima for others)
- -v, --verbose
- Print extra information from the Maxima wrapper script.
- --version
- Print the (default) installed version.
- --very-quiet
- Suppress expression labels and the Maxima start-up message.
- -X Lisp options,
--lisp-options=Lisp options
- Options to be given to the underlying Lisp.
Upon initialization, maxima prints a startup message, then
a command line prompt:
(%i1)
All Maxima commands must be concluded with either:
- 1)
- a semicolon (in which case the result of the command is echoed on a
display line, prefaced by %o with an appended sequence number),
or
- 2)
- a dollar sign (which suppresses printing of a display line).
(%i1) diff(sin(x),x);
(%o1) cos(x)
(%i2) integrate(%o1,x);
(%o2) sin(x)
The user types in commands which create Maxima objects
(such as functions and system variables) and which manipulate these
objects.
On UNIX it may be preferable to run Maxima under Gnu Emacs or
XEmacs. You can do this by invoking shell mode in emacs, and then
invoking maxima. Preferably, install maxima.el from the
distribution and use the command:
- M-x maxima
The main advantage of working inside emacs is that it
provides a complete history of input/output. If you execute the command
- display2d: false
you will be able to use your output as input, by simply killing
and yanking.
Lisp is built into Maxima. The function to_lisp() enters the Lisp
read-eval-print loop. The Lisp function (run) may be used to return to
Maxima. Alternatively, single Lisp commands may be invoked by starting a
command line with :lisp.
The reference manual can be accessed from the Maxima input prompt.
A description of a given command can be obtained by typing the command
describe(command);
or, simply,
? command
The command
?? command
searches the list of functions for the string command and
prints matching functions.
Demonstration files provide complete examples of problems solved
with Maxima, and may be accessed with the command demo(command);. A
library of user-contributed command files is also provided (the share
library), directed toward a variety of problems.
The reference manual is provided in both info and html
formats.
This list includes only commands which the beginner might find
useful to know about prior to studying the reference manual and other
texts.
- batch("myfile");
- Execute the contents of file myfile, which is assumed to contain
Maxima commands.
- closefile("myfile");
- Close session file opened by a writefile command (see below).
- demo("myfile");
- Execute the contents of file myfile, which is assumed to contain
Maxima commands, one line at a time.
- ev(infolists);
- Print the contents of all of the available information lists.
- functions;
- Print a list of the names of currently defined functions.
- infolists;
- Print a list of the various available information lists.
- kill(objectlist);
- Eliminate the object(s) contained within parentheses; kill(all)
Delete all objects created by the user, restoring Maxima to its initial
state.
- quit();
- Leave Maxima.
- reset();
- Reset all Maxima control parameters to their default states.
- values;
- Print a list of the names of currently assigned scalar values.
- writefile("myfile");
- Write record of session to file myfile; only one file at a time can
be open, and the closefile command must be invoked prior to leaving
Maxima to flush the buffer.
Maxima is capable of producing 2- and 3-dimensional plots. Here is
a simple 2-dimensional example
plot2d (sin(x), [x, -2*%pi, 2*%pi]);
and a simple 3-dimensional example
plot3d (2^(-u^2 + v^2), [u, -5, 5], [v, -7, 7]);
By default plots are made by the gnuplot plotting package.
Plots can be made by other means; see "? plot_options". For more
information about plotting, see "? plot".
- /usr/lib/maxima/5.46.0/binary-lisp
- Compiled files for lisp implementation lisp
- /usr/info
- primary documentation directory, containing info files which are used for
the 'describe' command, and also for viewing under emacs or other info
viewer.
- /usr/share/maxima/5.46.0/doc/html
- HTML version of info documentation.
- /usr/share/maxima/5.46.0/demo
- Maxima demo files.
- /usr/share/maxima/5.46.0/emacs
- Elisp files for use with Emacs or XEmacs.
- /usr/share/maxima/5.46.0/share
- Contributed external packages.
- /usr/share/maxima/5.46.0/doc/share
- Documentation for contributed external packages.
- /usr/share/maxima/5.46.0/src
- Complete Maxima source.
- /usr/share/maxima/5.46.0/tests
- Test suite.
- /usr/share/maxima/5.46.0/xmaxima
- Xmaxima support files.
- /usr/libexec/maxima/5.46.0/
- Maxima utility scripts.
- MAXIMA_USERDIR
- Points to a directory for user customization files. Maxima's default
search paths include MAXIMA_USERDIR. Default value:
$HOME/.maxima.
- MAXIMA_PREFIX
- Maxima looks for its input files in the directory configured at compile
time, /usr. Maxima can be relocated to a different directory as long as
the maxima script maintains the same relative position with respect
to the Maxima input files. If, for some reason, the maxima script
needs to be relocated independently, MAXIMA_PREFIX needs to be set
to point to the top of the tree holding the input files.
- MAXIMA_DIRECTORY
- MAXIMA_DIRECTORY is equivalent to MAXIMA_PREFIX. It is
included only for backward compatibility with older versions of
Maxima.
Maxima uses several other environment variables for communication
between the maxima script and the lisp image. All such variables
start with MAXIMA_. They should not need to be modified by the
user.
- maximarc
- maximarc is sourced by the maxima script at startup. It
should be located in $MAXIMA_USERDIR (see above). maximarc
can be used, e.g., to change the user's default lisp implementation
choice to CMUCL by including the line "MAXIMA_LISP=cmucl".
- maxima-init.lisp
- At startup, Maxima will load the lisp file maxima-init.lisp if it
is found in the search path. For user customization,
maxima-init.lisp should be placed in the $MAXIMA_USERDIR
(see above). Since Maxima typically has a system maxima-init.lisp
in the Maxima share directory, the user may want to copy the contents of
the system maxima-init.lisp into his/her custom file.
Alternatively, the user can load a Lisp initialization file with another
name or location by means of the --init-lisp or --init
command-line options.
- maxima-init.mac
- At startup, Maxima will load the file maxima-init.mac if it is
found in the search path. For user customization, maxima-init.mac
should be placed in the $MAXIMA_USERDIR (see above). Alternatively,
the user can load a Maxima initialization file with another name or
location by means of the --init-mac or --init command-line
options.
- ~/.xmaximarc
- Here Xmaxima stores personal settings.
- ~/.xmaxima_history
- Here Xmaxima stores the command history.
Old Reference: MACSYMA Reference Manual (volumes 1 and 2).
The Mathlab Group, Laboratory for Computer Science, MIT. Version 10. January
1983.
Newer references: https://maxima.sourceforge.io
Maxima is a complex system. It includes both known and unknown
bugs. Use at your own risk. The Maxima bug database is available at
https://sourceforge.net/p/maxima/bugs/
New bug reports are always appreciated. Please include the output
of the Maxima function "build_info()" with the report.
MACSYMA (Project MAC's SYmbolic MAnipulation System) was developed
by the Mathlab group of the MIT Laboratory for Computer Science (originally
known as Project MAC), during the years 1969-1972. Their work was supported
by grants NSG 1323 of the National Aeronautics and Space Administration,
N00014-77-C-0641 of the Office of Naval Research, ET-78-C-02-4687 of the
U.S. Department of Energy, and F49620-79-C-020 of the U.S. Air Force.
MACSYMA was further modified for use under the UNIX operating system (for
use on DEC VAX computers and Sun workstations), by Richard Fateman and
colleagues at the University of California at Berkeley; this version of
MACSYMA is known as VAXIMA. The present version stems from a re-working of
the public domain MIT MACSYMA for GNU Common Lisp, prepared by William
Schelter, University of Texas at Austin until his passing away in 2001. It
contains numerous additions, extensions and enhancements of the original.
The original version of this manual page was written by R. P. C. Rodgers,
UCSF School of Pharmacy, San Francisco, CA 94143
(rodgers@maxwell.mmwb.ucsf.edu) in 1989. It was extensively revised by James
Amundson in 2002.
Maxima is now developed and maintained by the Maxima project at
<https://maxima.sourceforge.io>.