Storage B

Here’s some C++ functions which evaluate Chebyshev polynomials:

T₀(x):
double T0(double x) ;

T₁(x):
double T1(double x) ;

T₂(x):
double T2(double x) ;

T_n(x):
double Tn(unsigned int n, double x) ;

These are inline functions defined in the header file, chebyshev.h:

Here’s some C++ functions which evaluate Legendre polynomials:

P₀(x):
double P0(double x) ;

P₁(x):
double P1(double x) ;

P₂(x):
double P2(double x) ;

P_n(x):
double Pn(unsigned int n, double x) ;

These are inline functions defined in the header file, legendre.h:

While rewriting some data analysis software I developed many years ago (the original was written in K & R C, the new version will be written in C++), I stumbled upon The Matrix Template Library (MTL). MTL is a library that provides comprehensive linear algebra functionality for a wide variety of matrix formats.

I was researching ways to implement my own matrix template library when I found MTL. After checking it out, I’m thinking of just using MTL since it’s more than adequate for my present needs and the support for a wide variety of matrix formats might be useful for future projects.

The only drawback I see is MTL hasn’t been updated in about three years.

A few months ago I was looking for a free computer algebra system (CAS). For some reason (probably I wasn’t really looking hard enough), I didn’t find anything that the bill.

Yesterday, while updating Cygwin on my Windows box at work, I saw a link to something called Mathomatic.

I turns out that Mathomatic is a nifty console based computer algebra system (follow the link and you can try Mathomatic via telnet).

The Mathomatic page includes a link to Maxima, a descendant of DOE Macsyma. Maxima is a more complete CAS then Mathomatic, but is a little more complicated to install.