LEGENDRE_SHIFTED_POLYNOMIAL
Shifted Legendre Polynomials

LEGENDRE_SHIFTED_POLYNOMIAL is a C++ library which evaluates the shifted Legendre polynomial.

The standard Legendre polynomial P(n,x) is defined over the interval [-1,+1]. The shifted Legendre polynomial P01(n,x) is shifted to the interval [0,1]. The relationships are:

        P01(n,x) = P(n,(x+1)/2)
        P(n,x) = P01(n,2*x-1)
      

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

LEGENDRE_SHIFTED_POLYNOMIAL is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

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Source Code:

• legendre_shifted_polynomial.cpp, the source code.
• legendre_shifted_polynomial.hpp, the include file.

Examples and Tests:

• legendre_shifted_polynomial_test.cpp, a sample calling program.
• legendre_shifted_polynomial_test.txt, the output file.

List of Routines:

• P01_POLYNOMIAL_VALUE evaluates the shifted Legendre polynomials P01(n,x).
• P01_POLYNOMIAL_VALUES: the shifted Legendre polynomials.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the C++ source codes.