SymbolicC++
| Developer(s) | Yorick Hardy, Willi-Hans Steeb and Tan Kiat Shi |
|---|---|
| Stable release | 3.24
/ May 27, 2009 |
| Written in | C++ |
| Operating system | Cross-platform |
| Type | Mathematical software |
| License | GPL |
| Website | http://issc.uj.ac.za/symbolic/symbolic.html |
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++ can be used by simply including a C++ header file or by linking against a library.
History
SymbolicC++ is described in a series of books on computer algebra.
The first book[1] 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 tempate 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 expressions
Example:
- include <iostream.h>
- include "rational.h"
- include "msymbol.h"
int main(void)
{
Sum<int> x("x",1);
Sum<Rational<int> > y("y",1);
cout << Int(y, y); // => 1/2 yˆ2
y.depend(x);
cout << df(y, x); // => df(y,x)
return 0;
}
The second version[2] of SymbolicC++ featured new classes such as the Polynomial class and initial support for simple integration. Subsequently support for Gröbner bases was added[3].
The third version[4] 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.
Examples
#include <iostream>
#include "symbolicc++.h"
using namespace std;
int main(void)
{
Symbolic x("x");
cout << integrate(x, x); // => 1/2 xˆ2
Symbolic y("y");
cout << df(y, x); // => 0
cout << df(y[x], x); // => df(y[x],x)
return 0;
}
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Further examples can be found in the books listed below[5][6].
See also
References
- ^ Tan Kiat Shi and Steeb, W.-H. (1997). SymbolicC++: An introduction to Computer Algebra Using Object-Oriented Programming Springer-Verlag, Singapore
- ^ Tan Kiat Shi, Steeb, W.-H. and Hardy, Y (2000). SymbolicC++: An Introduction to Computer Algebra using Object-Oriented Programming, 2nd extended and revised edition, Springer-Verlag, London
- ^ Kruger, P.J.M (2003). Gröbner bases with Symbolic C++, M. Sc. Dissertation, Rand Afrikaans University
- ^ Hardy, Y, Tan Kiat Shi and Steeb, W.-H. (2008). Computer Algebra with SymbolicC++, World Scientific Publishing, Singapore
- ^ Steeb, W.-H. (2008). The Nonlinear Workbook: Chaos, Fractals, Cellular Automata, Neural Networks, Genetic Algorithm, Gene Expression Programming, Wavelets, Fuzzy Logic with C++, Java and SymbolicC++ Programs, fourth edition World Scientific Publishing, Singapore
- ^ Steeb, W.-H. (2007). Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra, second edition World Scientific Publishing, Singapore