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Ideas for Software to Integrate with SAGE
This is a list of programs and packages for mathematics that might possibly be included with or at least have an interface with SAGE someday.
[http://control.ee.ethz.ch/~hpeyrl/Projects/SOS/rational_sos.php Sums of Squares via Macaulay2]. This is related to http://www.cds.caltech.edu/sostools/
http://www.4ti2.de/ -- A software package for algebraic, geometric and combinatorial problems on linear spaces; I (=william) have made optional SAGE packages for this and written a very preliminary interface. This depends on a linear programming package, which SAGE needs.
http://www.gnu.org/software/glpk/ -- Linear programming. It's 1MB, and very easy to build.
http://www-sop.inria.fr/galaad/software/synaps/ -- It's a GPL'd C++ library for doing numerical and algebraic stuff together and seems mature. It requires FORTRAN and is very hard to build. I skimmed some source code and it seemed relatively readable at first glance, and maybe there is something useful in there. It's focused on numerical over algebraic.
http://yacas.sourceforge.net/ -- YACAS is an easy to use, general purpose Computer Algebra System. It uses its own programming language (a sort of Lisp dialect) designed for symbolic as well as arbitrary-precision numerical computations (it can be linked to GMP library). YACAS comes with extensive documentation (320+ pages) covering the scripting language, the functionality that is already implemented in the system, and the algorithms used.
[http://sage.math.washington.edu:9001/graph_survey NetworkX].
Software that is free and tries to do what SAGE does
http://www.mathemagix.org/mmxweb/web/welcome.en.html -- Their overall goal is very similar to SAGE's. However, they make different design choices than we have with SAGE in almost every way:
They build everything around [http://www.texmacs.org/ texmacs], which is a "beautiful" yet aggravating program.
- They use C++ *very* very heavily.
- They write their own new custom interpreter language for mathematics (though they describe it as general purpose, and strongly emphasize it shouldn't be for just math).