C++ Functions to Evaluate Chebyshev Polynomials

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

Chebyshev Polynomials of the first kind:
T0(x):
    template <class T> T T0(const T& x);

T1(x):
    template <class T> T T1(const T& x);

T2(x):
    template <class T> T T2(const T& x);

Tn(x):
    template <class T> T Tn(unsigned int n, const T& x);

Chebyshev Polynomials of the second kind:
U0(x):
    template <class T> T U0(const T& x);

U1(x):
    template <class T> T U1(const T& x);

U2(x):
    template <class T> T U2(const T& x);

Un(x):
    template <class T> T Un(unsigned int n, const T& x);


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

Here’s a sample program:

UPDATE: 2014-10-01:>
This project can now be found on GitHub:
Chebyshev-polynomials
– HTTPS Clone URL: https://github.com/jachappell/Chebyshev-polynomials.git
– Download ZIP

4 thoughts on “C++ Functions to Evaluate Chebyshev Polynomials”

  1. I don’t understand your program, however, i have a question for you. “How do you use a struct data type to create a function that evaluates polynomial addition, subtraction and synthetic division?” I would appreciate any help from you. Thanx.

  2. I dont get your program,i have a problem with using struct data to create,input,display,adding,subtracting,dividing ,multiplying,deleting a polynomial of exponents in an array.Please I highly need your help.That will be my pleasure if i get your assistance

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.

All trademarks and copyrights on this page are owned by their respective owners. Quotes from linked articles are probably the property of the publications linked or the property of the person(s) quoted. The rest © 2001- 2024 by James A. Chappell