Written in C++ | Operating system License GPL | |
Developer(s) Yorick Hardy, Willi-Hans Steeb and Tan Kiat Shi Stable release 3.35 / September 15, 2010; 6 years ago (2010-09-15) | ||
SymbolicC++ is a general purpose computer algebra system embedded in the programming language C++. It is free software released under the terms of the GNU General Public License. SymbolicC++ is used by including a C++ header file or by linking against a library.
Contents
Examples
The following program fragment inverts the matrix
The output is
[ cos(theta) −sin(theta) ][ sin(theta) cos(theta) ]The next program illustrates non-commutative symbols in SymbolicC++. Here b is a Bose annihilation operator and bd is a Bose creation operator. The variable vs denotes the vacuum state ~ operator toggles the commutativity of a variable, i.e. if b is commutative that ~b is non-commutative and if b is non-commutative ~b is commutative.
Further examples can be found in the books listed below.
History
SymbolicC++ is described in a series of books on computer algebra. The first book described the first version of SymbolicC++. In this version the main data type for symbolic computation was the Sum class. The list of available classes included
Verylong : An unbounded integer implementationRational : A template class for rational numbersQuaternion : A template class for quaternionsDerive : A template class for automatic differentiationVector : A template class for vectors (see vector space)Matrix : A template class for matrices (see matrix (mathematics))Sum : A template class for symbolic expressionsExample:
The second version of SymbolicC++ featured new classes such as the Polynomial class and initial support for simple integration. Support for the algebraic computation of Clifford algebras was described in using SymbolicC++ in 2002. Subsequently support for Gröbner bases was added. The third version features a complete rewrite of SymbolicC++ and was released in 2008. This version encapsulates all symbolic expressions in the Symbolic class.
Newer versions are available from the SymbolicC++ website.