GAP Shell C Java
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The FR package This is the README file for the GAP package "FR". This package implements Functionally Recursive and Mealy automata in GAP. These objects can be manipulated as group elements, and various specific commands allow their manipulation as automorphisms of infinite rooted trees. Permutation quotients can also be created and manipulated as standard GAP groups or semigroups. This release (1.0) is the first containing all the planned functionality, though some rough edges will still need to be smoothed. In particular, the TODO file describes plans for future development, including computations of presentations for self-similar groups, interval arithmetic for complex dynamics, etc. The package is distributed in source form, and does not require anything else than a running GAP 4.5 or later. For updates, check http://www.uni-math.gwdg.de/laurent/FR/ (tar.gz formats) and https://github.com/laurentbartholdi/fr (git) To use the package, start GAP and type LoadPackage("FR"); The "FR" package banner should appear on the screen. For details on how to use the FR package, please consult the documentation. Though this is usually not necessary, it may be recompiled, after the command `LoadPackage("FR")', by invoking DOC@fr(); at the GAP prompt. The documentation will then be available in the `doc' subdirectory (view the file `manual.pdf' via a PDF viewer). An optional external module (DLL) provides floating-point functions used by the "iterated monodromy groups" part of FR. Its presence or absence does not affect the remainder of FR. To compile it, first make sure that your system has C and JAVA compilers. You will need some external libraries, in particular gsl, levmar, and libdogleg. To install them: * on Linux, use a package-manager such as 'apt-get', 'rpm' if possible. On debian/ubuntu systems, you will need libgsl0-dev and libsuitesparse-dev. * on UNIX systems, install the libraries: The gsl library may be found at http://ftpmirror.gnu.org/gsl/gsl-1.15.tar.gz The dogleg library may be found at https://github.com/Oblong/libdogleg.git The levmar library may be found at http://www.ics.forth.gr/~lourakis/levmar/levmar-2.6.tar.gz * on Mac OSX, use 'homebrew' (http://mxcl.github.com/homebrew/), and install the formulas by invoking % brew install libgsl % brew install https://raw.github.com/laurentbartholdi/homebrew/levenberg-marquardt-lib/Library/Formula/levmar.rb % brew install https://raw.github.com/laurentbartholdi/homebrew/libdogleg/Library/Formula/libdogleg.rb * on Windows, use an appropriate UNIX-like environment such as cygwin, and follow the UNIX instructions. In all cases, then run './configure && make' in FR's root directory. This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program, in the file COPYING. If not, see <http://www.gnu.org/licenses/>. Laurent Bartholdi, Göttingen, 2 September 2012